{
  "song": {
    "id": "beab1e58-9ff5-440d-bbd6-018821188be7",
    "title": "I'm Sprung",
    "artist": "T-Pain",
    "album": "Rappa Ternt Sanga (Expanded Edition)",
    "release_year": 2005,
    "duration_seconds": 231.04,
    "isrc": "USJI10500485",
    "slug": "i-m-sprung-t-pain",
    "status": "published",
    "tier1_complete": true,
    "tier2_complete": true,
    "tier3_complete": true,
    "tier4_complete": true,
    "color_generated": true,
    "validation_complete": true,
    "published_at": "2026-03-17T21:20:05.866+00:00",
    "analyst_name": "Andrew Brownlee",
    "analysis_version": "2.0",
    "full_song_confirmed": true,
    "created_at": "2026-03-16T18:53:04.966912+00:00",
    "updated_at": "2026-03-23T19:16:14.511941+00:00",
    "youtube_url": "https://www.youtube.com/watch?v=6MkY7EhZIiI&list=RD6MkY7EhZIiI",
    "search_vector": "'edit':11B 'expand':10B 'm':2A 'pain':6A 'rappa':7B 'sanga':9B 'sprung':3A 't-pain':4A 'ternt':8B",
    "source_sample_rate": 48000,
    "effective_bandwidth_hz": 10580,
    "audio_quality_estimate": "high",
    "canonical_bpm": 99,
    "canonical_bpm_source": "analyst",
    "bpm_feel": null,
    "bpm_feel_note": null,
    "spotify_id": null,
    "spotify_uri": null,
    "apple_music_id": "1555749632",
    "apple_music_url": "https://music.apple.com/us/album/im-sprung/1555749617?i=1555749632",
    "musicbrainz_id": null,
    "acrcloud_id": null,
    "genius_id": 44380,
    "genius_url": "https://genius.com/T-pain-im-sprung-lyrics",
    "lyrics": "[Chorus]\nI'm sprung\nDawg, she got me\nGot me doin' things I'll never do\nIf you ain't been I'm tellin' you\nI'm sprung (I'm sprung)\nDawg, she got me\nGot me doin' things I'll never do\nIf you ain't been I'm tellin' you\n\n[Bridge]\nYou do (you do)\nYou do (you do)\nYou do (you do)\nYou do (you do)\nYou do (Do do do)\nYou do (do do do do do)\nYou do (do do do do do do do do)\n\n[Verse 1]\nOoh\nShe got me doin' the dishes\nAnything she want for some kisses\nI'm cookin' for her when she gets hungry\nAll she doin' is actin' like she want me\nShe cuttin' off all my homies\nEven all my other ronis\nShe ain't even my main lady\nSee I been thinkin' bout it lately\nMan she really don't deserve me\nAll she wanna do is hurt me\nSo I gotta get away from her\nBut now I'm leaving quickly\nBefore she come and try to get me\nAnd I'm takin' everything with me\nWell it all come down to her\n\n[Chorus]\nI'm sprung\nDawg, she got me\nGot me doin' things I'll never do\nIf you ain't been I'm tellin' you\nI'm sprung (I'm sprung)\nDawg, she got me\nGot me doin' things I'll never do\nIf you ain't been I'm tellin' you\n\n[Bridge]\nYou do (you do)\nYou do (you do)\nYou do (you do)\nYou do (you do)\nYou do (Do do do)\nYou do (do do do do do)\nYou do (do do do do do do do do)\n\n[Verse 2]\nSo we went our separate ways\nIt's been a couple of days\nBut now I'm doin' what I want to\nWith nobody tellin' me what I'm gon' do\nAnd I'm feelin' so free\nWith nobody but me\nNow I can handle all my business\nAll of my fellas, can I get a witness?\nBut I'm feelin' kinda lonely\nOn top of that I'm kinda horny\nAnd I gotta get back to her\nNow I'm leavin' quickly\nBefore she come and try to get me\nAnd I'm takin' everything with me\nWell it all come down to her\n\n[Chorus]\nI'm sprung\nDawg, she got me\nGot me doin' things I'll never do\nIf you ain't been I'm tellin' you\nI'm sprung (I'm sprung)\nDawg, she got me\nGot me doin' things I'll never do\nIf you ain't been I'm tellin' you\n\n[Bridge]\nYou do (Do do do)\nYou do (do do do do do)\nYou do (do do do do do do do do)\nYou do (Do do do)\nYou do (do do do do do)\nYou do (do do do do do do do do)\n\n[Outro]\nOoh\nShe got me doin', what I won't do\nGot me sprung and I told you\nYou don't agree with me\nIn the end you'll see that\nShe got you doin', what you won't do\nNow you're sprung and I told you\nS-P-R-U-N-G\nNow you see, she\nGot you\nGot you\nGot you\nGot you\nShe got you\nGot you\nGot you\nGot you",
    "lyrics_annotations": [],
    "external_bpm_reference": null,
    "external_key_reference": null,
    "external_source": null,
    "fetched_at": "2026-03-16T18:53:09.446909+00:00"
  },
  "color": {
    "hex": "#DD1547",
    "hue": 345,
    "saturation": 0.8233,
    "luminance": 0.475199997425079,
    "edge_sharpness": 0.8265,
    "texture_granularity": 0.4252,
    "gradient_motion": 0.378500014543533,
    "color_depth": 0.4404,
    "color_layering": 0.4527,
    "palette_harmony": 0.9978,
    "contrast_composition": 0.944500029087067,
    "algorithm_version": "1.0",
    "generated_at": "2026-03-22T16:23:23.438945+00:00",
    "oklch_lightness": 0.575138,
    "oklch_chroma": 0.222898,
    "oklch_hue": 16.13
  },
  "temporal": {
    "bpm": 99,
    "bpm_raw": null,
    "tempo_variability": 0.0487475693493469,
    "groove_stability": 0.366800001936833,
    "swing_feel": 0.63885760307312,
    "rhythmic_density": 0.425233644859813,
    "syncopation_score": 0.618556701009672,
    "beat_clarity": 0.2535341619168,
    "library_primary": "librosa",
    "library_secondary": "essentia",
    "analyzed_at": "2026-03-22T16:23:18.586044+00:00",
    "raw_librosa_bpm": 99.384,
    "bpm_octave_corrected": false,
    "time_signature": null,
    "beats_per_bar": null,
    "tempo_map": [
      {
        "bpm": 103.4,
        "start_seconds": 0
      },
      {
        "bpm": 49.7,
        "start_seconds": 15
      },
      {
        "bpm": 99.4,
        "start_seconds": 30
      },
      {
        "bpm": 49.7,
        "start_seconds": 165
      }
    ],
    "beat_timestamps": [
      0.232199546485261,
      0.882358276643991,
      1.46285714285714,
      2.04335600907029,
      2.62385487528345,
      3.22757369614512,
      3.80807256235828,
      4.3653514739229,
      4.92263038548753,
      5.50312925170068,
      6.08362811791383,
      6.66412698412698,
      7.26784580498866,
      7.87156462585034,
      8.47528344671202,
      9.0790022675737,
      9.68272108843537,
      10.3096598639456,
      10.9365986394558,
      11.563537414966,
      12.2369160997732,
      12.8174149659864,
      13.3979138321995,
      13.9551927437642,
      14.5124716553288,
      15.092970521542,
      15.6966893424036,
      16.2771882086168,
      16.8809070294785,
      17.4846258503401,
      18.1347845804989,
      18.715283446712,
      19.3190022675737,
      19.9691609977324,
      20.5728798185941,
      21.1765986394558,
      21.7803174603175,
      22.3840362811791,
      22.9877551020408,
      23.568253968254,
      24.1719727891156,
      24.7756916099773,
      25.379410430839,
      25.9831292517007,
      26.5868480725624,
      27.2137868480726,
      27.7942857142857,
      28.3747845804989,
      28.9785034013605,
      29.6518820861678,
      30.1859410430839,
      30.8128798185941,
      31.3933786848073,
      31.9970975056689,
      32.6008163265306,
      33.1813151927438,
      33.7850340136054,
      34.3887528344671,
      34.9924716553288,
      35.5961904761905,
      36.1766893424036,
      36.7804081632653,
      37.384126984127,
      37.9878458049887,
      38.5683446712018,
      39.1256235827664,
      39.6829024943311,
      40.3098412698413,
      40.9832199546485,
      41.5869387755102,
      42.1906575963719,
      42.7943764172336,
      43.3516553287982,
      43.8857142857143,
      44.5823129251701,
      45.2092517006803,
      45.7897505668934,
      46.300589569161,
      46.9739682539683,
      47.5544671201814,
      48.1814058956916,
      48.7851247165533,
      49.388843537415,
      49.9925623582766,
      50.5730612244898,
      51.1767800453515,
      51.7804988662132,
      52.4074376417234,
      52.9879365079365,
      53.5916553287982,
      54.1953741496599,
      54.7990929705215,
      55.3795918367347,
      55.9833106575964,
      56.587029478458,
      57.1907482993197,
      57.7944671201814,
      58.3981859410431,
      59.0019047619048,
      59.6056235827664,
      60.1861224489796,
      60.7898412698413,
      61.3935600907029,
      61.9972789115646,
      62.5777777777778,
      63.1814965986395,
      63.7852154195011,
      64.3889342403628,
      64.9926530612245,
      65.5963718820862,
      66.2000907029478,
      66.780589569161,
      67.3843083900227,
      68.0576870748299,
      68.591746031746,
      69.1722448979592,
      69.7759637188209,
      70.356462585034,
      70.9834013605442,
      71.5871201814059,
      72.1908390022676,
      72.8409977324263,
      73.3982766439909,
      74.0019954648526,
      74.5824943310658,
      75.1862131519274,
      75.7899319727891,
      76.4633106575964,
      76.9973696145125,
      77.6010884353742,
      78.2048072562358,
      78.8085260770975,
      79.3890249433107,
      79.9927437641723,
      80.596462585034,
      81.2001814058957,
      81.7806802721088,
      82.3379591836735,
      82.9881179138322,
      83.5918367346939,
      84.172335600907,
      84.7992743764172,
      85.3797732426304,
      86.0067120181406,
      86.5872108843537,
      87.1909297052154,
      87.7946485260771,
      88.3983673469388,
      88.9788662131519,
      89.6058049886621,
      90.1863038548753,
      90.7668027210884,
      91.3008616780045,
      91.9045804988662,
      92.5779591836735,
      93.2048979591837,
      93.7853968253968,
      94.3891156462585,
      94.9928344671202,
      95.5965532879819,
      96.2002721088435,
      96.8504308390023,
      97.3844897959184,
      97.98820861678,
      98.5687074829932,
      99.1956462585034,
      99.7993650793651,
      100.403083900227,
      100.98358276644,
      101.587301587302,
      102.191020408163,
      102.794739229025,
      103.375238095238,
      103.9789569161,
      104.582675736961,
      105.186394557823,
      105.790113378685,
      106.463492063492,
      106.997551020408,
      107.60126984127,
      108.181768707483,
      108.785487528345,
      109.389206349206,
      109.992925170068,
      110.59664399093,
      111.200362811791,
      111.780861678005,
      112.407800453515,
      112.988299319728,
      113.59201814059,
      114.195736961451,
      114.799455782313,
      115.379954648526,
      115.983673469388,
      116.587392290249,
      117.121451247166,
      117.771609977324,
      118.375328798186,
      119.002267573696,
      119.605986394558,
      120.186485260771,
      120.790204081633,
      121.393922902494,
      121.997641723356,
      122.578140589569,
      123.112199546485,
      123.739138321995,
      124.389297052154,
      124.993015873016,
      125.573514739229,
      126.177233560091,
      126.780952380952,
      127.384671201814,
      127.988390022676,
      128.499229024943,
      129.102947845805,
      129.776326530612,
      130.380045351474,
      131.006984126984,
      131.587482993197,
      132.191201814059,
      132.794920634921,
      133.398639455782,
      134.002358276644,
      134.582857142857,
      135.186575963719,
      135.790294784581,
      136.394013605442,
      136.997732426304,
      137.578231292517,
      138.181950113379,
      138.808888888889,
      139.389387755102,
      139.993106575964,
      140.596825396825,
      141.200544217687,
      141.7810430839,
      142.40798185941,
      142.988480725624,
      143.592199546485,
      144.195918367347,
      144.846077097506,
      145.40335600907,
      146.007074829932,
      146.587573696145,
      147.168072562358,
      147.795011337868,
      148.39873015873,
      148.979229024943,
      149.582947845805,
      150.186666666667,
      150.790385487528,
      151.39410430839,
      151.997823129252,
      152.601541950113,
      153.205260770975,
      153.785759637188,
      154.38947845805,
      154.993197278912,
      155.596916099773,
      156.177414965986,
      156.804353741497,
      157.38485260771,
      157.988571428571,
      158.592290249433,
      159.172789115646,
      159.776507936508,
      160.38022675737,
      160.983945578231,
      161.587664399093,
      162.191383219955,
      162.795102040816,
      163.375600907029,
      163.979319727891,
      164.583038548753,
      165.186757369615,
      165.790476190476,
      166.394195011338,
      166.9979138322,
      167.601632653061,
      168.182131519274,
      168.785850340136,
      169.389569160998,
      169.993287981859,
      170.573786848073,
      171.200725623583,
      171.781224489796,
      172.384943310658,
      172.988662131519,
      173.662040816327,
      174.196099773243,
      174.823038548753,
      175.380317460317,
      175.984036281179,
      176.587755102041,
      177.191473922903,
      177.795192743764,
      178.398911564626,
      178.979410430839,
      179.583129251701,
      180.186848072562,
      180.790566893424,
      181.394285714286,
      181.974784580499,
      182.578503401361,
      183.182222222222,
      183.785941043084,
      184.412879818594,
      184.993378684807,
      185.597097505669,
      186.200816326531,
      186.781315192744,
      187.385034013605,
      187.988752834467,
      188.592471655329,
      189.172970521542,
      189.776689342404,
      190.380408163265,
      190.984126984127,
      191.587845804989,
      192.19156462585,
      192.795283446712,
      193.399002267574,
      194.002721088435,
      194.583219954649,
      195.18693877551,
      195.767437641723,
      196.371156462585,
      196.974875283447,
      197.578594104308,
      198.18231292517,
      198.786031746032,
      199.366530612245,
      199.993469387755,
      200.573968253968,
      201.200907029478,
      201.781405895692,
      202.385124716553,
      202.988843537415,
      203.592562358277,
      204.17306122449,
      204.776780045351,
      205.380498866213,
      205.984217687075,
      206.564716553288,
      207.191655328798,
      207.79537414966,
      208.375873015873,
      208.979591836735,
      209.583310657596,
      210.16380952381,
      210.79074829932,
      211.371247165533,
      211.974965986395,
      212.578684807256,
      213.182403628118,
      213.78612244898,
      214.389841269841,
      214.993560090703,
      215.597278911565,
      216.177777777778,
      216.781496598639,
      217.385215419501,
      217.988934240363,
      218.569433106576,
      219.173151927438,
      219.776870748299,
      220.40380952381,
      220.984308390023,
      221.588027210884,
      222.191746031746,
      222.772244897959,
      223.375963718821,
      224.002902494331,
      224.583401360544,
      225.187120181406,
      225.767619047619,
      226.371337868481,
      226.975056689342
    ],
    "beat_strengths": [
      0.417749163137343,
      0.130453692478937,
      0.0447895526063215,
      0.027468833219993,
      0.272564821022345,
      0.252700581801129,
      0.0453611674248107,
      0.0493164175062179,
      0.253654119580699,
      0.180209631702207,
      0.254462233411509,
      0.206224690044371,
      0.169944259121763,
      0.259378536424946,
      0.16849912240193,
      0.226895240051253,
      0.12022575770688,
      0.030749396015257,
      0.0276244443380014,
      0.0685772947014787,
      0.112687742950232,
      0.227569419257935,
      0.0418291413658742,
      0.0369300299565585,
      0.295467479084209,
      0.285491926848604,
      0.179791942097253,
      0.194015595743711,
      0.159122352677938,
      0.271851927621014,
      0.167065803928226,
      0.192741842447253,
      0.0834446908417017,
      0.119133431871673,
      0.552602199675731,
      0.0349653414081107,
      0.625710056865715,
      0.0998207800099454,
      0.352656858944371,
      0.0396514400648005,
      0.635325160103446,
      0.0546853028681838,
      0.439097785023234,
      0.0369116204723513,
      0.447335629965769,
      0.0294037325726942,
      0.300687390273133,
      0.0499256263661044,
      0.622599440582379,
      0.187707339791704,
      0.332540505988388,
      0.0507066016597478,
      0.250843998233275,
      0.0768919455212415,
      0.216893666053711,
      0.0294004193182664,
      0.356953274222141,
      0.0790618114661933,
      0.289813481244459,
      0.0452338885724217,
      0.426976450485116,
      0.0582763928585633,
      0.377392513877107,
      0.0627963823406535,
      0.517117352897462,
      0.0193764818903366,
      0.361754175512946,
      0.195756546151213,
      0.36980638443361,
      0.319989855046077,
      0.285601516351165,
      0.219979817262526,
      0.193497321574765,
      0.32839787934149,
      0.312310554141877,
      0.148060093709096,
      0.26062838602728,
      0.414832757068122,
      0.180016679378724,
      0.177495565574441,
      0.304313423365765,
      0.427459338474965,
      0.29020437345791,
      0.178046270439436,
      0.436624266010791,
      0.45798956002694,
      0.359083888820404,
      0.155680716799923,
      0.278044115071402,
      0.29908411008411,
      0.236798158908324,
      0.104977668803981,
      0.361001975465945,
      0.200550549699474,
      0.254711392461938,
      0.108267820831911,
      0.245086906365075,
      0.124142015883752,
      0.227208799322524,
      0.145232392410877,
      0.263354210198888,
      0.177843660288281,
      0.293586566991957,
      0.176524745141549,
      0.357145094336908,
      0.151905142288016,
      0.223932464507034,
      0.153129520344135,
      0.264551893828122,
      0.129537041624203,
      0.204523582500049,
      0.187218307462111,
      0.439381147328731,
      0.310314119333374,
      0.293628299507066,
      0.0477708289054462,
      0.443144527584669,
      0.102869906872995,
      0.338114271791266,
      0.03747346544803,
      0.342812564935284,
      0.132674236059514,
      0.240015419158589,
      0.0265997705771908,
      0.402036403667611,
      0.0997234174547209,
      0.254735775191291,
      0.207002545656935,
      0.213319497859867,
      0.0955881336452901,
      0.177799350280051,
      0.121964461215345,
      0.392390262397929,
      0.205709743496441,
      0.258712709061279,
      0.148473085596186,
      0.341474672050391,
      0.143854179252319,
      0.306812218620023,
      0.199844631645972,
      0.498068164025283,
      0.148645490500579,
      0.346565612529523,
      0.155391079057039,
      0.380797405181567,
      0.158452362326998,
      0.271252182994269,
      0.173513984440721,
      0.454490020149174,
      0.173761567828595,
      0.332303849835029,
      0.0318041827824401,
      0.305903265555093,
      0.272366697686795,
      0.355186924483959,
      0.176454223073972,
      0.454239395632993,
      0.152781698387304,
      0.253607064089548,
      0.146689836211093,
      0.236031636909038,
      0.211854714183301,
      0.465688656028236,
      0.207865333543364,
      0.79380962378042,
      0.0964028017801479,
      0.251528954846507,
      0.208380225645331,
      0.516938062750093,
      0.0734351841221095,
      0.321322449515395,
      0.223726427637119,
      0.679246860889286,
      0.0544737936120077,
      0.421951109813567,
      0.167988433682604,
      0.409040003794374,
      0.184157841510002,
      0.251205099732643,
      0.105123977650561,
      0.323811442570795,
      0.0965294675701587,
      0.277356572446276,
      0.114085649465905,
      0.244871485121534,
      0.0704453396142743,
      0.34560662221784,
      0.143597219696919,
      0.353865674079726,
      0.0739021638353385,
      0.245160893106127,
      0.333619205807537,
      0.518587612145714,
      0.172057079836335,
      0.309730038612491,
      0.186716086692927,
      0.470770822424178,
      0.452769897327128,
      0.188471918501652,
      0.157951725717397,
      0.375964554686541,
      0.325581838928058,
      0.244544875434772,
      0.135523025195111,
      0.302969970300025,
      0.281822450496793,
      0.204996010962487,
      0.204032944960394,
      0.270650690208295,
      0.429439936986229,
      0.646446877228478,
      0.157217821502687,
      0.412177035395114,
      0.408779676665845,
      0.403192849415815,
      0.340701858501376,
      0.462873363404791,
      0.377009613958466,
      0.159967709510972,
      0.14412506205194,
      0.273782432538015,
      0.0993353202940044,
      0.206806675654653,
      0.142062210383783,
      0.311116804027988,
      0.220819084758446,
      0.399152737754424,
      0.160270261087565,
      0.206270151692639,
      0.437346879655076,
      0.325309607440443,
      0.106924598568508,
      0.310948406108714,
      0.119940772223468,
      0.197162403291317,
      0.126760253863018,
      0.383761381414542,
      0.103265166315293,
      0.288187585113256,
      0.17246997092935,
      0.247475823466763,
      0.3222547060388,
      0.210704002250493,
      0.111982763349524,
      0.370254755206363,
      0.103434400742944,
      0.257501610872051,
      0.111329410589618,
      0.484739006549951,
      0.122548944061067,
      0.328194212745764,
      0.0791106114559845,
      0.283886656391324,
      0.086867064138477,
      0.186873993321661,
      0.155362692088711,
      0.285387408799604,
      0.133968887862833,
      0.25391991900774,
      0.172139388053264,
      0.61609090013076,
      0.160387669935509,
      0.356425810474587,
      0.145528686230989,
      0.268302037936487,
      0.13965914555612,
      0.319447004730072,
      0.171531536103614,
      0.446477240379802,
      0.177090239166049,
      0.286649591118723,
      0.168189740775823,
      0.438885706852426,
      0.177131808206199,
      0.392107001151547,
      0.161676502832417,
      0.313909940896341,
      0.225528371571323,
      0.24245458945394,
      0.118036401895862,
      0.261409275183213,
      0.193595244356641,
      0.327865377703233,
      0.17658266365024,
      0.55237284075791,
      0.139456340982015,
      0.357682699692594,
      0.106120209566523,
      0.3516209499407,
      0.235566691643395,
      0.24379373677094,
      0.118110748692199,
      0.297170109754573,
      0.117156203488772,
      0.266445631064481,
      0.0351990374993431,
      0.234842274933013,
      0.0557036460022536,
      0.330418474920602,
      0.0336526938826137,
      0.331274440945291,
      0.0317048041353198,
      0.272763992410147,
      0.0512307734272987,
      0.453181137259045,
      0.0586354053257917,
      0.351353272817076,
      0.0559806347796647,
      0.244317901268991,
      0.0709782714744364,
      0.214653254118616,
      0.0293859466495103,
      0.342547774215867,
      0.0718073169298662,
      0.295405303685109,
      0.0309355980641609,
      0.422555230846324,
      0.057610399639485,
      0.380552002615145,
      0.00696604518890723,
      0.372567208313943,
      0.141663516176412,
      0.264551757593658,
      0.149376781987998,
      0.430147072152854,
      0.212299230319262,
      0.511042399212974,
      0.426759218487024,
      0.703890558989501,
      0.211387867943041,
      0.519125772774963,
      0.276952317296977,
      0.42854425768736,
      0.197547131390298,
      0.660765168308624,
      0.182624368313107,
      0.472309276459966,
      0.359710260994561,
      0.285623124832026,
      0.205413909682625,
      0.395850417693228,
      0.238006059338725,
      0.611004028579734,
      0.36378484567941,
      0.671363420041782,
      0.179048362125165,
      0.286125504879234,
      0.184133362061948,
      0.601198391036908,
      0.204691126971701,
      0.578067816965408,
      0.210730904033317,
      0.585325421381442,
      0.0525015950266529,
      0.478183940263386,
      0.0309890622134587,
      0.474069796921211,
      0.0767267141427125,
      0.31112947167622,
      0.0253791766782156,
      0.680259308035166,
      0.0610674980648048,
      0.416630928825515,
      0.0569682144292701,
      0.999999999996189,
      0.0723928692737254,
      0.574031674457077,
      0.106769814669413,
      0.509149173901384,
      0.0596471863095528,
      0.330789334905555,
      0.0363503713307247,
      0.702281902623935,
      0.0593047026559535,
      0.444086682764136,
      0.0297722391982326,
      0.713801644871243,
      0.0429499124629963,
      0.554988503356919
    ],
    "onset_timestamps": [
      0.208979591836735,
      0.905578231292517,
      2.60063492063492,
      2.99537414965986,
      3.22757369614512,
      3.55265306122449,
      4.899410430839,
      5.24770975056689,
      5.50312925170068,
      6.08362811791383,
      6.66412698412698,
      7.01242630385488,
      7.26784580498866,
      7.5697052154195,
      7.84834467120181,
      8.21986394557823,
      8.47528344671202,
      8.77714285714286,
      9.05578231292517,
      9.96136054421769,
      11.0294784580499,
      12.8174149659864,
      13.1424943310658,
      14.4892517006803,
      14.8143310657596,
      15.092970521542,
      15.4644897959184,
      15.6734693877551,
      16.2539682539683,
      16.4165079365079,
      16.8809070294785,
      17.1827664399093,
      17.4846258503401,
      17.8561451247166,
      18.1347845804989,
      18.4134240362812,
      18.6920634920635,
      19.5744217687075,
      20.0620408163265,
      20.5728798185941,
      21.7570975056689,
      22.9645351473923,
      24.1719727891156,
      25.379410430839,
      26.5636281179138,
      27.7710657596372,
      28.9785034013605,
      29.6518820861678,
      30.1859410430839,
      30.8360997732426,
      31.3701587301587,
      32.5775963718821,
      33.7850340136054,
      34.9692517006803,
      36.1766893424036,
      37.3609070294785,
      38.312925170068,
      38.5683446712018,
      39.1720634920635,
      39.6596825396825,
      39.7757823129252,
      39.9615419501134,
      40.1705215419501,
      40.3098412698413,
      40.472380952381,
      40.5884807256236,
      40.7045804988662,
      40.8439002267574,
      40.9832199546485,
      41.2850793650794,
      41.5637188208617,
      41.7726984126984,
      41.888798185941,
      42.1906575963719,
      42.3531972789116,
      42.4692970521542,
      42.5621768707483,
      42.7014965986395,
      42.7943764172336,
      43.0265759637188,
      43.3284353741497,
      43.3748752834467,
      43.6999546485261,
      43.8624943310658,
      43.9785941043084,
      44.048253968254,
      44.1875736961451,
      44.5823129251701,
      44.8377324263039,
      44.977052154195,
      45.2092517006803,
      45.4878911564626,
      45.6039909297052,
      45.7665306122449,
      46.0683900226757,
      46.2773696145125,
      46.5095691609977,
      46.6488888888889,
      46.8114285714286,
      46.9739682539683,
      47.2526077097506,
      47.5544671201814,
      47.7170068027211,
      48.1814058956916,
      48.4832653061224,
      48.7619047619048,
      49.0637641723356,
      49.2727437641723,
      49.388843537415,
      49.5513832199547,
      49.6907029478458,
      49.7603628117914,
      49.8996825396825,
      49.9925623582766,
      50.2247619047619,
      50.2944217687075,
      50.4569614512472,
      50.5730612244898,
      50.8749206349206,
      51.1767800453515,
      51.3857596371882,
      51.5250793650794,
      51.687619047619,
      51.7804988662132,
      52.082358276644,
      52.2913378684807,
      52.3842176870748,
      52.5931972789116,
      52.6860770975057,
      52.9182766439909,
      52.9879365079365,
      53.5684353741497,
      54.1721541950113,
      54.5668934240363,
      55.3795918367347,
      55.6814512471655,
      55.7511111111111,
      55.9833106575964,
      56.3316099773243,
      56.587029478458,
      56.9585487528345,
      57.7712471655329,
      58.3749659863946,
      58.6071655328798,
      58.7000453514739,
      58.9786848072562,
      59.3502040816327,
      59.4895238095238,
      59.6520634920635,
      59.7913832199546,
      59.8842630385488,
      60.1396825396825,
      60.1861224489796,
      60.4879818594104,
      60.6737414965986,
      61.0452607709751,
      61.2310204081633,
      61.3703401360544,
      61.6721995464853,
      61.8347392290249,
      61.9740589569161,
      62.1365986394558,
      62.2759183673469,
      62.5777777777778,
      62.9957369614513,
      63.1814965986395,
      63.2975963718821,
      63.7852154195011,
      63.9477551020408,
      64.087074829932,
      64.3889342403628,
      64.528253968254,
      64.969433106576,
      65.2712925170068,
      65.7356916099773,
      65.8750113378685,
      66.1768707482993,
      66.3626303854875,
      66.4787301587302,
      66.780589569161,
      67.0824489795918,
      67.2914285714286,
      67.3843083900227,
      67.6861678004535,
      67.8951473922903,
      68.0344671201814,
      68.3131065759637,
      68.5685260770975,
      69.3812244897959,
      69.5437641723356,
      69.7759637188209,
      70.0081632653061,
      70.1474829931973,
      70.797641723356,
      70.9834013605442,
      71.9586394557823,
      72.0979591836735,
      72.167619047619,
      72.5391383219955,
      73.1660770975057,
      73.3750566893424,
      74.5592743764172,
      75.7667120181406,
      76.4633106575964,
      76.9741496598639,
      77.5778684807256,
      77.8797278911565,
      78.1815873015873,
      78.4834467120181,
      78.785306122449,
      79.0871655328798,
      79.3658049886621,
      79.6908843537415,
      79.9927437641723,
      80.2713832199546,
      80.5732426303855,
      80.7590022675737,
      80.8983219954649,
      81.2001814058957,
      81.478820861678,
      81.6878004535147,
      81.7806802721088,
      82.0360997732426,
      82.3147392290249,
      82.6862585034014,
      82.8952380952381,
      82.9881179138322,
      83.1506575963719,
      83.289977324263,
      83.4757369614512,
      83.5918367346939,
      83.8936961451247,
      84.0562358276644,
      84.172335600907,
      84.3813151927438,
      84.6599546485261,
      84.7992743764172,
      85.3797732426304,
      85.5655328798186,
      85.6816326530612,
      85.8673922902494,
      86.0067120181406,
      86.2853514739229,
      86.5639909297052,
      86.772970521542,
      87.1909297052154,
      87.4927891156463,
      87.7714285714286,
      87.9571882086168,
      88.0965079365079,
      88.3983673469388,
      88.6770068027211,
      88.9788662131519,
      89.5825850340136,
      89.8844444444444,
      90.1863038548753,
      90.4881632653061,
      90.790022675737,
      91.0918820861678,
      91.277641723356,
      91.3937414965986,
      91.6259410430839,
      91.9045804988662,
      92.2760997732426,
      92.5779591836735,
      92.7637188208617,
      93.0655782312925,
      93.2048979591837,
      93.483537414966,
      93.7621768707483,
      93.9943764172336,
      94.2730158730159,
      94.3891156462585,
      94.6909750566893,
      94.9696145124717,
      95.1553741496599,
      95.8984126984127,
      96.177052154195,
      96.8504308390023,
      97.0826303854875,
      97.3612698412698,
      97.547029478458,
      97.98820861678,
      98.2900680272109,
      98.5687074829932,
      99.4975056689342,
      99.7761451247165,
      99.9619047619048,
      100.403083900227,
      100.681723356009,
      100.960362811791,
      101.889160997732,
      102.167800453515,
      102.353560090703,
      102.794739229025,
      103.096598639456,
      103.375238095238,
      104.280816326531,
      104.582675736961,
      105.186394557823,
      105.488253968254,
      105.766893424036,
      106.463492063492,
      106.695691609977,
      106.97433106576,
      108.181768707483,
      109.389206349206,
      110.573424036281,
      111.502222222222,
      111.780861678005,
      112.407800453515,
      112.686439909297,
      112.965079365079,
      113.89387755102,
      114.172517006803,
      114.358276643991,
      114.776235827664,
      115.078095238095,
      115.379954648526,
      115.983673469388,
      116.331972789116,
      116.587392290249,
      116.958911564626,
      117.098231292517,
      117.191111111111,
      117.400090702948,
      117.492970521542,
      117.655510204082,
      117.771609977324,
      118.096689342404,
      118.375328798186,
      118.677188208617,
      118.909387755102,
      118.979047619048,
      119.280907029478,
      119.373786848073,
      119.582766439909,
      119.768526077098,
      119.88462585034,
      120.000725623583,
      120.163265306122,
      120.488344671202,
      120.766984126984,
      120.999183673469,
      121.092063492063,
      121.370702947846,
      121.556462585034,
      122.299501133787,
      122.415600907029,
      122.578140589569,
      122.787120181406,
      122.949659863946,
      123.112199546485,
      123.414058956916,
      123.483718820862,
      123.715918367347,
      123.785578231293,
      124.087437641723,
      124.389297052154,
      124.435736961451,
      124.691156462585,
      124.969795918367,
      125.271655328798,
      125.573514739229,
      125.71283446712,
      125.87537414966,
      126.177233560091,
      126.362993197279,
      126.479092970522,
      126.548752834467,
      126.850612244898,
      127.082811791383,
      127.245351473923,
      127.361451247166,
      127.686530612245,
      127.965170068027,
      128.267029478458,
      128.499229024943,
      128.592108843537,
      128.893968253968,
      129.102947845805,
      129.195827664399,
      129.381587301587,
      129.49768707483,
      129.637006802721,
      129.776326530612,
      130.078185941043,
      130.380045351474,
      130.589024943311,
      130.91410430839,
      130.983764172336,
      131.517823129252,
      132.005442176871,
      132.16798185941,
      132.469841269841,
      132.655600907029,
      132.95746031746,
      133.096780045351,
      133.375419501134,
      133.770158730159,
      134.582857142857,
      135.186575963719,
      135.48843537415,
      135.767074829932,
      135.95283446712,
      136.092154195011,
      136.2779138322,
      136.394013605442,
      136.602993197279,
      136.695873015873,
      136.858412698413,
      136.974512471655,
      137.276371882086,
      137.578231292517,
      137.880090702948,
      137.926530612245,
      138.112290249433,
      138.181950113379,
      138.48380952381,
      138.692789115646,
      139.017868480726,
      139.087528344671,
      139.342947845805,
      139.389387755102,
      139.784126984127,
      139.969886621315,
      140.085986394558,
      140.457505668934,
      140.573605442177,
      140.736145124717,
      141.270204081633,
      141.7810430839,
      142.477641723356,
      142.965260770975,
      143.151020408163,
      143.290340136054,
      143.592199546485,
      143.894058956916,
      144.172698412698,
      144.683537414966,
      144.846077097506,
      145.101496598639,
      145.380136054422,
      146.169614512472,
      146.332154195011,
      146.448253968254,
      146.564353741497,
      146.935873015873,
      147.77179138322,
      148.700589569161,
      148.979229024943,
      149.18820861678,
      149.327528344671,
      149.699047619048,
      149.884807256236,
      150.186666666667,
      151.092244897959,
      151.370884353742,
      152.299682539683,
      152.578321995465,
      153.205260770975,
      153.785759637188,
      154.38947845805,
      154.691337868481,
      154.969977324263,
      155.155736961451,
      155.295056689342,
      155.596916099773,
      155.875555555556,
      156.177414965986,
      156.479274376417,
      156.59537414966,
      156.781133786848,
      157.082993197279,
      157.38485260771,
      157.686712018141,
      157.988571428571,
      158.290430839002,
      158.499410430839,
      158.569070294785,
      158.847709750567,
      159.126349206349,
      159.474648526077,
      159.683628117914,
      159.776507936508,
      159.962267573696,
      160.078367346939,
      160.264126984127,
      160.38022675737,
      160.6820861678,
      160.867845804989,
      160.960725623583,
      161.448344671202,
      161.587664399093,
      161.889523809524,
      162.168163265306,
      162.353922902494,
      162.493242630385,
      162.679002267574,
      162.795102040816,
      163.096961451247,
      163.375600907029,
      163.584580498866,
      163.979319727891,
      164.281179138322,
      164.583038548753,
      164.745578231293,
      164.884897959184,
      165.186757369615,
      165.488616780045,
      165.767256235828,
      166.092335600907,
      166.394195011338,
      166.67283446712,
      166.974693877551,
      167.276553287982,
      167.601632653061,
      167.880272108844,
      168.08925170068,
      168.182131519274,
      168.437551020408,
      168.692970521542,
      168.785850340136,
      169.064489795918,
      169.389569160998,
      169.552108843537,
      169.853968253968,
      169.993287981859,
      170.29514739229,
      170.573786848073,
      170.805986394558,
      171.08462585034,
      171.200725623583,
      171.479365079365,
      171.781224489796,
      172.686802721088,
      172.965442176871,
      173.662040816327,
      174.033560090703,
      174.172879818594,
      175.380317460317,
      175.984036281179,
      176.587755102041,
      177.771972789116,
      178.979410430839,
      180.163628117914,
      181.371065759637,
      182.578503401361,
      183.251882086168,
      183.785941043084,
      184.436099773243,
      184.970158730159,
      186.177596371882,
      187.385034013605,
      188.56925170068,
      189.776689342404,
      190.960907029478,
      191.912925170068,
      192.168344671202,
      192.772063492063,
      193.097142857143,
      193.375782312925,
      193.561541950113,
      193.677641723356,
      193.979501133787,
      194.281360544218,
      194.467120181406,
      194.583219954649,
      194.885079365079,
      194.954739229025,
      195.18693877551,
      195.488798185941,
      195.767437641723,
      195.953197278912,
      196.069297052154,
      196.371156462585,
      196.60335600907,
      196.812335600907,
      196.974875283447,
      197.508934240363,
      197.578594104308,
      197.903673469388,
      198.159092970522,
      198.484172335601,
      198.786031746032,
      199.087891156463,
      199.366530612245,
      199.668390022676,
      199.993469387755,
      200.295328798186,
      200.434648526077,
      200.573968253968,
      200.759727891156,
      200.875827664399,
      201.200907029478,
      201.479546485261,
      201.6420861678,
      201.781405895692,
      202.385124716553,
      202.686984126984,
      202.988843537415,
      203.151383219955,
      203.290702947846,
      203.592562358277,
      203.871201814059,
      204.056961451247,
      204.17306122449,
      204.474920634921,
      204.567800453515,
      204.776780045351,
      205.078639455782,
      205.217959183673,
      205.357278911565,
      205.659138321995,
      205.960997732426,
      206.193197278912,
      206.564716553288,
      206.889795918367,
      207.052335600907,
      207.191655328798,
      207.493514739229,
      207.772154195011,
      207.9579138322,
      208.375873015873,
      208.515192743764,
      208.677732426304,
      208.979591836735,
      209.583310657596,
      209.722630385488,
      209.885170068027,
      210.16380952381,
      210.349569160998,
      210.79074829932,
      211.092607709751,
      211.371247165533,
      212.578684807256,
      213.762902494331,
      214.970340136054,
      216.154557823129,
      217.361995464853,
      218.569433106576,
      219.776870748299,
      220.636009070295,
      220.961088435374,
      222.168526077098,
      223.352743764172,
      224.583401360544,
      225.767619047619,
      226.975056689342,
      228.182494331066,
      228.786213151927
    ],
    "onset_strength_curve": [
      1.8858062627562,
      1.30221214852333,
      1.00558819480909,
      0.941050533983677,
      1.16059544583783,
      1.38525694066623,
      1.66269112145816,
      1.17854079089715,
      0.900405110990491,
      0.771888678902462,
      2.13956435318731,
      1.52089740488899,
      1.67361669983592,
      1.69625638171945,
      1.57436229226714,
      1.27769277644972,
      1.88105854541525,
      1.29991690952395,
      1.93537993788509,
      1.24614717280466,
      1.57444489588155,
      1.15594578979575,
      1.14060979732578,
      0.958261246547544,
      1.22577882205727,
      1.25689180666337,
      1.64795665657716,
      1.04048195589634,
      0.948300807449617,
      1.72234825404105,
      1.47857896724079,
      1.57129447328333,
      1.74402809418946,
      1.46896948805171,
      1.36320081855413,
      1.68895733774718,
      1.29293957009866,
      1.56046203063645,
      1.69332631222314,
      1.17323898943586,
      1.45688103036688,
      1.21540263420536,
      1.8631702564798,
      0.917044626033676,
      2.40148650349965,
      0.943584230775113,
      1.03164764531031,
      1.48543927629398,
      0.928982675164986,
      1.99857951757385,
      1.04860584960929,
      0.864638262442034,
      1.63091882033203,
      0.875007197304919,
      2.07145209334001,
      1.15253420199134,
      1.2692117674913,
      1.22318211104019,
      1.10538183348152,
      1.96379377121335,
      1.48087812326807,
      1.46958582768532,
      0.767780997147479,
      1.16782099470099,
      1.40817961942075,
      1.2369304726475,
      1.50994706989401,
      0.688849736055345,
      1.10564580393151,
      1.48425682979947,
      0.997771604599029,
      1.46155497948046,
      0.891411051521096,
      0.940834992234012,
      1.68104961740294,
      1.11332800685852,
      1.63613385323445,
      0.925284013101778,
      1.24383486558567,
      1.81349051123015,
      1.35855271105712,
      2.53162103116419,
      2.00522057270382,
      1.9882897805891,
      1.52850661238316,
      2.47649112291011,
      2.05784654019921,
      2.23793252014126,
      2.25771123221667,
      1.57318635077628,
      2.60337088959877,
      1.71760347252163,
      1.76233393046932,
      2.23857098536549,
      1.66204378247321,
      1.8457364869268,
      2.1563518286715,
      1.88196542906503,
      2.22414658718572,
      0.790842180772742,
      2.37113672264433,
      2.64960886036217,
      1.92640506061542,
      2.77508116895755,
      1.48585553683553,
      2.25169175029916,
      2.43486223953607,
      2.04520728316037,
      2.45927917286943,
      1.28686597679858,
      1.65389420200345,
      2.00575145743899,
      1.22027936186971,
      1.66475251491133,
      2.03579638995161,
      1.96802794746642,
      1.88289204166688,
      1.50299820338486,
      1.56948496141745,
      1.42589432277397,
      1.83932570685529,
      1.76210771665195,
      2.38144417439207,
      1.933346406247,
      2.23026608082418,
      2.35307102954568,
      1.37836415213426,
      1.92593323256416,
      2.06516210738797,
      1.9830624941406,
      1.81653899380253,
      1.28378090193633,
      1.94202584566595,
      1.86106299397932,
      1.50949771066708,
      1.77065603098519,
      1.42724367631002,
      1.37851945046004,
      2.83284730775231,
      1.94060709205031,
      2.18984640980858,
      0.798302569829444,
      1.54813557853856,
      2.51030722547944,
      1.67839844859526,
      1.9631068835266,
      0.950750313512122,
      1.38238042641755,
      2.24618528229729,
      1.67460189714551,
      1.82234489523527,
      1.01578274377695,
      1.57924934504416,
      0.825910830981849,
      0.985216014826639,
      1.60575394902435,
      1.52764895493944,
      1.71924929851983,
      0.792482870230656,
      1.38813611374344,
      1.57060185479103,
      0.967989060538873,
      2.6190575095083,
      1.08367872811229,
      1.8170183955006,
      1.68132116419231,
      1.07268033787742,
      2.47409383273239,
      1.64356059807604,
      1.55663903981987,
      2.14369355571464,
      1.72865474956304,
      2.42619974008413,
      1.62972322833042,
      1.63766289180814,
      1.88293216272859,
      2.10610385713429,
      2.11248385694761,
      1.37945837709006,
      1.43313427563688,
      1.85478691342598,
      1.73483791494376,
      1.56483011887379,
      1.71028342145552,
      1.81707550103003,
      1.17414758459917,
      1.23574625479919,
      2.34401951628195,
      1.69477182049452,
      2.4078573843967,
      1.28653859094689,
      1.49514992848833,
      2.44999243177816,
      1.42359271099949,
      2.18090416017899,
      1.54283529014084,
      1.41867283419829,
      1.91996535546064,
      1.12543672308865,
      2.06901400022801,
      1.25182221797084,
      1.42229250350478,
      2.18217642015187,
      1.13885053240768,
      1.86705680823167,
      1.28463973330609,
      1.16498436703412,
      2.02091266971141,
      1.34396327870421,
      1.85711189775546,
      1.16801756182579,
      1.25911624837975,
      1.98174828736681,
      1.50462876912622,
      1.62563492470973,
      1.15681975264886,
      2.44242729378058,
      0.969137513911286,
      1.61580343022649,
      1.51126620647925,
      1.096854480714,
      1.72930389990126,
      0.83498568272993,
      1.29743524520731,
      1.39346069590518,
      1.07209507779616,
      1.76927347959033,
      0.78318026557322,
      1.17833040588755,
      1.58154930875365,
      1.13580928158031,
      1.94340825283048,
      0.985863440144782,
      1.2377787577842,
      1.75188410174965,
      1.47226854334324,
      2.91581282796307,
      0.885188130570672,
      1.92087619224714,
      2.04285516039642,
      2.52871559722224,
      1.96075151710778,
      1.51804998853341,
      2.42323084076544,
      2.33834872034289,
      2.13733531063781,
      1.9495309811626,
      1.53128873204406,
      2.6964532310239,
      1.43445374848112,
      1.68728353253187,
      2.08269728786199,
      2.03162603333705,
      2.55893749361477,
      1.36943096723027,
      2.05530768270187,
      1.73111022806713,
      1.4774736272457,
      3.16958105648837,
      1.52405216635599,
      2.31344372497616,
      1.86449427216522,
      1.38110308916121,
      2.90938789582861,
      2.16655835624487,
      1.69906522814752,
      2.20436731597373,
      2.27145414948097,
      1.88294352320731,
      1.60503416255683,
      1.71544208704179,
      1.4482731685116,
      2.33664801778674,
      2.10021144318187,
      1.87870505442236,
      1.4169242118442,
      1.22569018092143,
      1.89793552327398,
      2.23321113883283,
      2.04674001713585,
      2.56007449110962,
      0.884054654813215,
      2.64690718703324,
      1.96293411593366,
      2.28877831956396,
      2.74372263891503,
      1.00096606709527,
      1.79861760820906,
      1.95694595865276,
      1.63908499388042,
      1.72918875783893,
      0.944321981481539,
      1.74569050654145,
      1.62359459736471,
      1.35153925037986,
      1.94665051402041,
      1.33615482178954,
      2.22767135096196,
      1.50825155557852,
      1.23688712222064,
      2.43520823178859,
      1.96496568345148,
      1.76239152550348,
      1.42448794677761,
      1.40095751940277,
      2.14708651707908,
      1.81357148988229,
      1.85132771311369,
      1.43023157750736,
      1.22296852357303,
      1.55428460207232,
      0.878622741178925,
      1.90906907108675,
      1.15273278114975,
      1.45721643178372,
      1.65963558374626,
      1.11035702141117,
      1.67872593911884,
      0.973325059705873,
      1.5755586517281,
      2.03751453893454,
      1.55908362381429,
      1.98337119218812,
      1.05155252428276,
      1.24357995574834,
      2.53336790404055,
      1.41901869032391,
      2.38741662520269,
      1.89266067030472,
      1.67969221411679,
      1.96003238431697,
      1.81139271694126,
      2.08601555738527,
      1.99702981647235,
      1.47094191362397,
      2.09113658493397,
      1.65826577636086,
      1.67848745649898,
      1.29569023255859,
      1.80310036114619,
      1.38761377867808,
      1.94176109538781,
      1.54275724914663,
      1.18327353668857,
      2.41619495943477,
      1.19133491316645,
      1.90139291136478,
      2.05615526672726,
      1.50024300457838,
      2.68262254857553,
      1.30160963439988,
      1.49729003778832,
      1.996935403683,
      1.66204322143851,
      2.1859192823083,
      0.796452985803097,
      1.6640317582499,
      1.39239564118981,
      1.11616080090947,
      1.38789088366559,
      1.06933109016013,
      1.09864003175713,
      1.30629256047087,
      1.02424179063667,
      1.35471061024796,
      1.06151940777108,
      0.959737394089013,
      1.56185883489279,
      0.838707568180763,
      1.51990807172745,
      1.00167556882835,
      1.34078545775918,
      1.29460409295199,
      1.27981499824103,
      1.80995371986599,
      1.21975643336743,
      1.5217389738233,
      0.759237112782159,
      1.17845702194475,
      1.39860183570386,
      1.24551837851689,
      1.52872573490042,
      0.699185927673634,
      1.09704158541277,
      1.47403320041364,
      0.980612487884535,
      1.50671060722843,
      0.89254284477656,
      0.959915863844051,
      1.66710831393011,
      1.09266477964944,
      1.68796325687993,
      0.468343917026892,
      1.18311930168275,
      1.94756927543162,
      1.3307271963737,
      2.40993688983056,
      1.55934802994941,
      2.17570190239187,
      2.20329493113793,
      1.68346132102994,
      2.01724627906695,
      2.28086705953187,
      2.55105730816094,
      1.35738235637457,
      1.86514840574543,
      1.90783356670932,
      1.8282337750494,
      2.99826769526776,
      0.974927412655565,
      1.49793345937323,
      2.29423909724994,
      1.66145639908752,
      2.83476969326292,
      0.751604168953074,
      2.06970739807243,
      2.00782547191397,
      1.18789521945354,
      3.27553209408345,
      1.78016253978768,
      1.5706330256873,
      2.48636005224728,
      2.11281551903509,
      2.69278727686733,
      1.76588565017336,
      1.39107346272687,
      1.82881877075062,
      1.88060820877024,
      2.28786522569444,
      1.24399065520706,
      1.51566978284136,
      2.30431423616309,
      1.51814354361775,
      1.97460487376627,
      0.898805732195635,
      1.46417861673316,
      1.08541167317425,
      1.06778621052077,
      2.24511372453891,
      1.04566262720777,
      1.74040026048827,
      0.70606553347781,
      1.07582586456698,
      2.14027044877818,
      0.943653541725383,
      1.76986385224368,
      0.59121037291432,
      1.03881544969689,
      2.40740371809836,
      1.06250915338691,
      1.82050744407698,
      0.708482259517845,
      1.41508078825456,
      2.09998714968199,
      1.05314130766718,
      1.71856357670974,
      0.866465821978783,
      1.11768615791881,
      2.21261018812998,
      0.996481295473368,
      1.6861844345015,
      0.825643342524358,
      1.04473716209121,
      2.20883214977069,
      0.918143235491323,
      1.72930653037872,
      0.700489493019338,
      0.802781515885755,
      0.597843597170523,
      0.806829335769128,
      0.0299426569714154,
      0.0081623160295264,
      0,
      0
    ],
    "onset_density_curve": [
      0.05,
      0.05,
      0,
      0,
      0,
      0.1,
      0.05,
      0.05,
      0,
      0.05,
      0.05,
      0.05,
      0.05,
      0.05,
      0.1,
      0.1,
      0.1,
      0.05,
      0.05,
      0.05,
      0,
      0,
      0.05,
      0,
      0,
      0.05,
      0.05,
      0,
      0.05,
      0.05,
      0.1,
      0.05,
      0.1,
      0.05,
      0.1,
      0.05,
      0.1,
      0.05,
      0,
      0.05,
      0.05,
      0.05,
      0,
      0.05,
      0,
      0.05,
      0,
      0,
      0.05,
      0,
      0.05,
      0,
      0,
      0.05,
      0,
      0.05,
      0,
      0.05,
      0,
      0.05,
      0.05,
      0.05,
      0.05,
      0,
      0,
      0.05,
      0,
      0.05,
      0,
      0.05,
      0,
      0,
      0.05,
      0,
      0.05,
      0,
      0.05,
      0.05,
      0.05,
      0.15,
      0.15,
      0.2,
      0.05,
      0.15,
      0.15,
      0.15,
      0.15,
      0.15,
      0.1,
      0.15,
      0.1,
      0.1,
      0.1,
      0.2,
      0.05,
      0.1,
      0.1,
      0.05,
      0.15,
      0.25,
      0.15,
      0.1,
      0.1,
      0.15,
      0.15,
      0.2,
      0,
      0.05,
      0.05,
      0.05,
      0.05,
      0.15,
      0.05,
      0.1,
      0,
      0.05,
      0.05,
      0.15,
      0.1,
      0.15,
      0.15,
      0.05,
      0.15,
      0.15,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.05,
      0.1,
      0.15,
      0.05,
      0.15,
      0.1,
      0.1,
      0.05,
      0.05,
      0.1,
      0.1,
      0.1,
      0,
      0.05,
      0.1,
      0.05,
      0.1,
      0,
      0,
      0.05,
      0,
      0.05,
      0.05,
      0.05,
      0,
      0.1,
      0.1,
      0.05,
      0.1,
      0.1,
      0.05,
      0.15,
      0.1,
      0.1,
      0.1,
      0.15,
      0.15,
      0.1,
      0.15,
      0.1,
      0.05,
      0.15,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0,
      0.1,
      0.1,
      0.05,
      0.15,
      0.1,
      0.05,
      0.1,
      0.15,
      0.1,
      0.1,
      0.1,
      0.05,
      0.05,
      0.05,
      0.05,
      0.1,
      0.1,
      0.05,
      0.05,
      0.05,
      0.1,
      0.05,
      0.1,
      0,
      0.05,
      0.1,
      0.05,
      0.1,
      0,
      0.05,
      0.05,
      0.1,
      0.05,
      0.05,
      0.1,
      0,
      0,
      0.05,
      0,
      0.05,
      0,
      0,
      0.05,
      0,
      0.1,
      0.05,
      0.1,
      0,
      0.05,
      0.1,
      0.05,
      0.1,
      0.05,
      0.05,
      0.1,
      0.2,
      0.1,
      0.1,
      0.15,
      0.1,
      0.15,
      0.15,
      0.1,
      0.1,
      0.05,
      0.1,
      0.15,
      0.15,
      0.1,
      0.15,
      0.1,
      0.05,
      0.15,
      0.15,
      0.1,
      0.15,
      0.1,
      0.1,
      0.1,
      0.2,
      0.1,
      0.1,
      0.15,
      0,
      0.05,
      0.15,
      0.1,
      0.1,
      0.05,
      0,
      0.05,
      0.1,
      0.1,
      0.15,
      0.2,
      0.05,
      0.15,
      0.15,
      0.05,
      0.2,
      0.1,
      0.1,
      0.1,
      0.05,
      0.05,
      0.05,
      0.05,
      0.1,
      0.1,
      0.05,
      0.1,
      0.1,
      0,
      0.15,
      0.1,
      0,
      0.05,
      0,
      0.1,
      0.1,
      0.1,
      0.05,
      0,
      0.1,
      0,
      0.05,
      0.05,
      0.05,
      0.05,
      0.05,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.1,
      0.15,
      0.15,
      0.15,
      0.05,
      0.1,
      0.15,
      0.1,
      0.1,
      0.1,
      0.05,
      0.15,
      0.1,
      0.05,
      0.1,
      0.1,
      0.05,
      0.1,
      0.15,
      0.1,
      0.1,
      0.15,
      0.05,
      0.1,
      0.15,
      0.05,
      0,
      0.1,
      0,
      0.05,
      0.1,
      0,
      0.05,
      0.05,
      0,
      0.05,
      0,
      0.05,
      0,
      0.05,
      0,
      0,
      0.05,
      0,
      0.05,
      0,
      0,
      0.05,
      0.05,
      0.05,
      0.05,
      0.05,
      0,
      0,
      0.05,
      0,
      0.05,
      0,
      0,
      0.05,
      0,
      0.05,
      0,
      0.05,
      0,
      0.05,
      0.05,
      0.05,
      0.1,
      0.15,
      0.1,
      0.15,
      0.1,
      0.1,
      0.1,
      0.15,
      0,
      0.15,
      0.1,
      0.05,
      0.1,
      0.1,
      0.1,
      0.15,
      0.1,
      0.1,
      0.05,
      0.1,
      0.1,
      0.1,
      0.15,
      0.1,
      0.15,
      0.1,
      0.05,
      0.1,
      0.15,
      0.1,
      0.05,
      0.15,
      0,
      0.15,
      0.1,
      0.05,
      0.1,
      0,
      0,
      0.05,
      0,
      0.05,
      0,
      0.05,
      0,
      0,
      0.05,
      0,
      0.05,
      0,
      0,
      0.05,
      0,
      0.05,
      0,
      0.1,
      0,
      0,
      0.05,
      0,
      0.05,
      0,
      0,
      0.05,
      0,
      0.05,
      0,
      0.05,
      0,
      0,
      0.05,
      0.05,
      0,
      0,
      0,
      0,
      0
    ],
    "tempo_curve": [
      92.2851562358057,
      103.359374982195,
      103.359374982195,
      103.359374982195,
      99.384014406615,
      103.359374982195,
      107.66601560568,
      107.66601560568,
      103.359374982195,
      103.359374982195,
      103.359374982195,
      99.384014406615,
      99.384014406615,
      99.384014406615,
      99.384014406615,
      99.384014406615,
      95.7031249847348,
      95.7031249847348,
      95.7031249847348,
      89.1029094695265,
      103.359374982195,
      103.359374982195,
      107.66601560568,
      107.66601560568,
      103.359374982195,
      99.384014406615,
      103.359374982195,
      99.3840144066153,
      99.3840144066147,
      92.2851562358059,
      103.359374982195,
      99.3840144066147,
      92.2851562358059,
      99.3840144066153,
      99.3840144066147,
      99.3840144066153,
      99.3840144066147,
      99.3840144066153,
      103.359374982194,
      99.3840144066153,
      99.3840144066147,
      99.3840144066153,
      99.3840144066147,
      99.3840144066153,
      95.7031249847348,
      103.359374982195,
      103.359374982195,
      99.3840144066147,
      89.1029094695267,
      112.347146718094,
      95.7031249847348,
      103.359374982195,
      99.3840144066153,
      99.3840144066147,
      103.359374982194,
      99.3840144066158,
      99.3840144066147,
      99.3840144066147,
      99.3840144066147,
      103.359374982195,
      99.3840144066147,
      99.3840144066147,
      99.3840144066158,
      103.359374982194,
      107.666015605681,
      107.666015605679,
      95.7031249847348,
      89.1029094695267,
      99.3840144066147,
      99.3840144066147,
      99.3840144066158,
      107.666015605679,
      112.347146718094,
      86.1328124876357,
      95.7031249847348,
      103.359374982194,
      117.45383520428,
      89.1029094695267,
      103.359374982194,
      95.7031249847348,
      99.3840144066147,
      99.3840144066158,
      99.3840144066147,
      103.359374982194,
      99.3840144066158,
      99.3840144066147,
      95.7031249847348,
      103.359374982194,
      99.3840144066158,
      99.3840144066147,
      99.3840144066147,
      103.359374982194,
      99.3840144066158,
      99.3840144066147,
      99.3840144066147,
      99.3840144066147,
      99.3840144066158,
      99.3840144066147,
      99.3840144066147,
      103.359374982195,
      99.3840144066147,
      99.3840144066147,
      99.3840144066147,
      103.359374982195,
      99.3840144066147,
      99.3840144066147,
      99.3840144066147,
      99.3840144066158,
      99.3840144066135,
      99.3840144066158,
      103.359374982195,
      99.3840144066135,
      89.1029094695276,
      112.347146718094,
      103.359374982193,
      99.3840144066158,
      103.359374982195,
      95.7031249847337,
      99.3840144066158,
      99.3840144066135,
      92.2851562358069,
      107.666015605681,
      99.3840144066135,
      103.359374982195,
      99.3840144066158,
      99.3840144066135,
      89.1029094695276,
      112.347146718094,
      99.3840144066135,
      99.3840144066158,
      99.3840144066135,
      103.359374982195,
      99.3840144066158,
      99.3840144066135,
      99.3840144066158,
      103.359374982195,
      107.666015605678,
      92.2851562358069,
      99.3840144066158,
      103.359374982193,
      95.7031249847359,
      103.359374982193,
      95.7031249847359,
      103.359374982195,
      99.3840144066135,
      99.3840144066158,
      99.3840144066158,
      103.359374982193,
      95.7031249847359,
      103.359374982195,
      103.359374982193,
      112.347146718094,
      99.3840144066158,
      89.1029094695258,
      95.7031249847359,
      103.359374982193,
      99.3840144066158,
      99.3840144066158,
      99.3840144066135,
      99.3840144066158,
      92.2851562358049,
      112.347146718094,
      99.3840144066158,
      103.359374982195,
      95.7031249847337,
      99.3840144066158,
      99.3840144066135,
      103.359374982195,
      99.3840144066158,
      99.3840144066135,
      99.3840144066158,
      103.359374982195,
      99.3840144066135,
      99.3840144066158,
      99.3840144066135,
      99.3840144066158,
      89.1029094695258,
      112.347146718094,
      99.3840144066158,
      103.359374982195,
      99.3840144066135,
      99.3840144066158,
      99.3840144066135,
      99.3840144066158,
      99.3840144066158,
      103.359374982193,
      95.7031249847359,
      103.359374982195,
      99.3840144066135,
      99.3840144066158,
      99.3840144066158,
      103.359374982193,
      99.3840144066158,
      99.3840144066135,
      112.347146718094,
      92.2851562358069,
      99.3840144066135,
      95.7031249847359,
      99.3840144066158,
      103.359374982193,
      99.3840144066158,
      99.3840144066158,
      99.3840144066135,
      103.359374982195,
      112.347146718094,
      95.7031249847337,
      92.2851562358069,
      99.3840144066135,
      103.359374982195,
      99.3840144066158,
      99.3840144066135,
      99.3840144066158,
      99.3840144066158,
      117.45383520428,
      99.3840144066158,
      89.1029094695258,
      99.3840144066158,
      95.7031249847337,
      103.359374982193,
      99.3840144066158,
      99.3840144066158,
      99.3840144066158,
      99.3840144066112,
      103.359374982198,
      99.3840144066158,
      99.3840144066112,
      99.3840144066158,
      99.3840144066158,
      103.359374982193,
      99.3840144066158,
      95.7031249847337,
      103.359374982198,
      99.3840144066158,
      99.3840144066112,
      99.3840144066158,
      103.359374982198,
      95.7031249847337,
      103.359374982193,
      99.3840144066158,
      99.3840144066158,
      92.2851562358069,
      107.666015605675,
      99.3840144066158,
      103.359374982198,
      103.359374982193,
      95.7031249847337,
      99.3840144066158,
      103.359374982193,
      99.3840144066158,
      99.3840144066158,
      99.3840144066158,
      99.3840144066158,
      99.3840144066112,
      99.3840144066158,
      99.3840144066158,
      103.359374982193,
      99.3840144066158,
      99.3840144066158,
      99.3840144066158,
      103.359374982193,
      95.7031249847337,
      103.359374982198,
      99.3840144066158,
      99.3840144066112,
      103.359374982198,
      99.3840144066158,
      99.3840144066112,
      99.3840144066158,
      99.3840144066158,
      99.3840144066158,
      99.3840144066158,
      103.359374982193,
      99.3840144066158,
      99.3840144066158,
      99.3840144066112,
      99.3840144066158,
      99.3840144066158,
      99.3840144066158,
      99.3840144066158,
      103.359374982193,
      99.3840144066158,
      99.3840144066158,
      99.3840144066112,
      103.359374982198,
      95.7031249847337,
      103.359374982193,
      99.3840144066158,
      99.3840144066158,
      89.1029094695258,
      112.347146718097,
      95.7031249847337,
      107.666015605681,
      99.3840144066158,
      99.3840144066112,
      99.3840144066158,
      99.3840144066158,
      99.3840144066158,
      103.359374982193,
      99.3840144066158,
      99.3840144066158,
      99.3840144066158,
      99.3840144066158,
      103.359374982193,
      99.3840144066158,
      99.3840144066158,
      99.3840144066112,
      95.703124984738,
      103.359374982193,
      99.3840144066158,
      99.3840144066158,
      103.359374982193,
      99.3840144066158,
      99.3840144066158,
      99.3840144066112,
      103.359374982198,
      99.3840144066158,
      99.3840144066112,
      99.3840144066158,
      99.3840144066158,
      99.3840144066158,
      99.3840144066158,
      99.3840144066112,
      99.3840144066158,
      103.359374982198,
      99.3840144066112,
      103.359374982198,
      99.3840144066158,
      99.3840144066112,
      99.3840144066158,
      99.3840144066158,
      99.3840144066158,
      103.359374982193,
      95.7031249847337,
      103.359374982198,
      95.7031249847337,
      103.359374982193,
      99.3840144066158,
      99.3840144066158,
      99.3840144066158,
      103.359374982193,
      99.3840144066158,
      99.3840144066158,
      99.3840144066158,
      103.359374982193,
      95.7031249847337,
      99.3840144066158,
      103.359374982193,
      99.3840144066158,
      99.3840144066158,
      103.359374982193,
      95.703124984738,
      103.359374982193,
      99.3840144066158,
      99.3840144066158,
      99.3840144066112,
      99.3840144066158,
      99.3840144066158,
      99.3840144066158,
      99.3840144066158,
      103.359374982193,
      99.3840144066158,
      99.3840144066158,
      99.3840144066112,
      103.359374982198,
      99.3840144066158,
      99.3840144066112,
      95.703124984738,
      103.359374982193,
      99.3840144066158,
      99.3840144066158,
      103.359374982193,
      99.3840144066158,
      95.7031249847337,
      103.359374982193,
      99.3840144066158,
      103.359374982198,
      99.3840144066112,
      99.3840144066158
    ],
    "tempogram": [
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.9999999999,
      0.789743677888152,
      0.80720704709163,
      0.8220730764007,
      0.827675439831351,
      0.824784573381694,
      0.814809829774772,
      0.803733760407804,
      0.80365250936798,
      0.816870697818417,
      0.838481405375801,
      0.859317313253372,
      0.856844583258251,
      0.832154916457844,
      0.811293641978051,
      0.800455567980523,
      0.799376710240205,
      0.782339355574194,
      0.728852241975364,
      0.692083200052496,
      0.686826854816036,
      0.679815245645709,
      0.659694819259435,
      0.657912612954243,
      0.676659548121274,
      0.684592474787682,
      0.685279466162174,
      0.703891319880303,
      0.74616116721415,
      0.787343858160874,
      0.79397701238688,
      0.782122529737669,
      0.763845344186927,
      0.739861541852586,
      0.719932777389114,
      0.710896318071138,
      0.707118440039892,
      0.703013799386972,
      0.694925227101086,
      0.68882928140404,
      0.695878603983076,
      0.720265296367344,
      0.732605704554355,
      0.70136126575565,
      0.650936591915048,
      0.614978687908736,
      0.610547616066309,
      0.641290636463206,
      0.692678284514761,
      0.730129240383884,
      0.745600147414812,
      0.758790369432658,
      0.766767999335823,
      0.767117200679429,
      0.763865108268317,
      0.761314737510868,
      0.764424442858601,
      0.76785459262539,
      0.738117424506769,
      0.678355669037304,
      0.641697250677964,
      0.641733554689425,
      0.672703798921779,
      0.711953990005992,
      0.734050284092079,
      0.74470721364354,
      0.761013301069116,
      0.785255227337175,
      0.787306515869722,
      0.742337431071431,
      0.702712904121504,
      0.703008283671963,
      0.728016359042101,
      0.742486447652081,
      0.729569960154524,
      0.716767230778348,
      0.72224556235848,
      0.730327509772251,
      0.719299393850555,
      0.704955718011829,
      0.715605972547876,
      0.737985319918645,
      0.746916073806288,
      0.751586184242438,
      0.761774996815389,
      0.750027246457891,
      0.680682138340069,
      0.616808595379249,
      0.609058206841566,
      0.654058353829671,
      0.690120325482575,
      0.668511714601041,
      0.648673897567179,
      0.664796990326479,
      0.699351890813097,
      0.734112282514338,
      0.766934741219885,
      0.77476830409967,
      0.756644422079307,
      0.742530179169378,
      0.724228223415639,
      0.701595557847569,
      0.683571542809308,
      0.65558028564487,
      0.617362734148424,
      0.602373195695832,
      0.622750362438711,
      0.663148074835629,
      0.702779867147374,
      0.716820917327328,
      0.681192494214539,
      0.637745107500914,
      0.624832465454792,
      0.633683348256972,
      0.646537197822492,
      0.660715636542404,
      0.683895996393153,
      0.705899885764274,
      0.717870886913781,
      0.722344571641066,
      0.710241715497327,
      0.683215227818864,
      0.670883550707514,
      0.683349834429207,
      0.701691672052326,
      0.70538693608258,
      0.706071774686169,
      0.713958353865023,
      0.724007790044088,
      0.744995068384609,
      0.758740072128662,
      0.738681091681519,
      0.710925749076547,
      0.708858949165326,
      0.731838193188108,
      0.759565910508471,
      0.75316432830222,
      0.706311105379253,
      0.680136805112312,
      0.696525946276158,
      0.733943094479365,
      0.752076364529794,
      0.74724947232881,
      0.739593027399185,
      0.729192484458235,
      0.717902149773045,
      0.721752459219107,
      0.743819052695661,
      0.763256165934184,
      0.75539969638686,
      0.731716817763703,
      0.727663680515796,
      0.754665055969274,
      0.788115336318098,
      0.798241217100596,
      0.792446339660753,
      0.787029380247755,
      0.778441073238304,
      0.772865953312058,
      0.773222122184365,
      0.766804063535096,
      0.754998911716866,
      0.75434449793549,
      0.770872014604923,
      0.788818888423377,
      0.792213996327315,
      0.783329688172048,
      0.76369116391878,
      0.729966414472844,
      0.697904896968305,
      0.684932272951669,
      0.682121022110563,
      0.665014200569305,
      0.633933599128059,
      0.619319628256478,
      0.63758242550726,
      0.660117130667699,
      0.656146190221547,
      0.655606268873199,
      0.68287010655366,
      0.696283717023906,
      0.678161897067595,
      0.662416080521148,
      0.661404470884027,
      0.665007343759285,
      0.654640088307336,
      0.639450005870256,
      0.638362144033034,
      0.658108391217566,
      0.680882208626979,
      0.686024681143232,
      0.646157714026414,
      0.56397495088826,
      0.518666758462388,
      0.548424381100934,
      0.635467878334783,
      0.693978746456265,
      0.686637128243601,
      0.663679548024697,
      0.637243987086755,
      0.61227314047708,
      0.440116804870576,
      0.497611928685491,
      0.552772822459622,
      0.575224020617985,
      0.57383292516847,
      0.562527834474914,
      0.546779806205822,
      0.545757229218986,
      0.565648529921449,
      0.606222479247135,
      0.654137338138088,
      0.645567456384075,
      0.581765972013327,
      0.538303785314258,
      0.526795523015107,
      0.542437520550678,
      0.54778815601159,
      0.483959294710656,
      0.40614343828535,
      0.371299711167203,
      0.368347200910144,
      0.373204787891155,
      0.375476342345781,
      0.379550056070509,
      0.385249358011835,
      0.399616080510186,
      0.434562735114794,
      0.494107558782171,
      0.550043870692294,
      0.551325763499131,
      0.525408456259547,
      0.498659797374925,
      0.468825988045138,
      0.444856262414808,
      0.435451469915877,
      0.437198759236671,
      0.446664910943646,
      0.450009981520479,
      0.441284281659908,
      0.431808668161811,
      0.437070683872328,
      0.443984298758831,
      0.42741343786789,
      0.390539437970732,
      0.352759527401738,
      0.344622690531427,
      0.381362517843616,
      0.448199819969975,
      0.499401931699758,
      0.523836200163067,
      0.545496675915338,
      0.565784808334346,
      0.573911418725058,
      0.562516572762729,
      0.543416911723645,
      0.533205282188789,
      0.528377486568932,
      0.487259609598615,
      0.41794554912664,
      0.379719196583261,
      0.388989577817265,
      0.441125996322901,
      0.493586436957759,
      0.502782552973547,
      0.489781615139367,
      0.490785431959996,
      0.52164934923664,
      0.543745315607988,
      0.48425634392358,
      0.412814758687104,
      0.408636877998427,
      0.456640040448521,
      0.493320339647881,
      0.481793449776346,
      0.462726443003322,
      0.460949294993539,
      0.458421804097582,
      0.443907456966971,
      0.442073894059309,
      0.468053256217258,
      0.494000025901994,
      0.495121876853711,
      0.497000112413708,
      0.519486492413574,
      0.512586629297672,
      0.418373873969901,
      0.331909068967235,
      0.314427951912352,
      0.348057246136907,
      0.375661657872357,
      0.362822598569002,
      0.351480907589525,
      0.364570007209674,
      0.397366676182909,
      0.446829152851873,
      0.509011595283543,
      0.53276695409969,
      0.506656685579841,
      0.477257775085583,
      0.437187725065749,
      0.394481646824914,
      0.377726777918567,
      0.371780404038044,
      0.35514294479007,
      0.341857417676701,
      0.353338708920476,
      0.391621939927903,
      0.447659033863986,
      0.479815583224097,
      0.421129543282604,
      0.342020687131991,
      0.312543406019891,
      0.320732139135602,
      0.338819418262313,
      0.362955925343384,
      0.39670711066271,
      0.42432029627812,
      0.445270369378933,
      0.462058416668021,
      0.455169562752131,
      0.436559605566569,
      0.444024330379446,
      0.466453245111095,
      0.470417927162356,
      0.453530237150481,
      0.45457482683718,
      0.463827773247665,
      0.465890387051443,
      0.490518531422805,
      0.520506916822895,
      0.506757911832382,
      0.464897544411659,
      0.447381733127994,
      0.476209551442396,
      0.532801249622257,
      0.527493590003505,
      0.440593003969524,
      0.392785173976866,
      0.418560342437179,
      0.476127267997551,
      0.497968792912201,
      0.483324099299935,
      0.470883944226598,
      0.460106480956789,
      0.442155129669122,
      0.438908821238131,
      0.466850834137671,
      0.500584534531487,
      0.501088970838296,
      0.481506515761199,
      0.489177509506776,
      0.532167368999327,
      0.568983924086034,
      0.566089579356027,
      0.550007746946511,
      0.545895232686147,
      0.53693064357646,
      0.522534426944419,
      0.510056613567636,
      0.497741830934674,
      0.488374244327336,
      0.494643153352059,
      0.524489375866817,
      0.555534533059572,
      0.55367900390329,
      0.529447474479737,
      0.498688834931701,
      0.452510688264708,
      0.414400295843845,
      0.409303989437161,
      0.411918305445736,
      0.382255084412541,
      0.340223903039769,
      0.329668283148771,
      0.361134708284781,
      0.39609960032775,
      0.39979460802125,
      0.402086982476426,
      0.421080732750636,
      0.412253936141563,
      0.371323833578295,
      0.346765384095316,
      0.352862622461333,
      0.367854462366029,
      0.360187028476941,
      0.349606107582181,
      0.356509738179796,
      0.370563795363639,
      0.376008811411271,
      0.372146357290909,
      0.344479854503428,
      0.293970716066419,
      0.269331995315239,
      0.291610385174682,
      0.350182118095715,
      0.391084534869882,
      0.390497502005123,
      0.378497525261875,
      0.361994258216938,
      0.348901288022656,
      0.25965465764508,
      0.344491404083064,
      0.431267335708792,
      0.461621321055084,
      0.453971661048985,
      0.447482644510846,
      0.441301035757586,
      0.44331230245511,
      0.460138010577924,
      0.50238187206763,
      0.557007708384746,
      0.534864146658261,
      0.447917386788367,
      0.402810472290725,
      0.407995752468044,
      0.448087680961303,
      0.472610191916899,
      0.401957899913884,
      0.299904723200238,
      0.247346409516112,
      0.240639510529154,
      0.249230218731223,
      0.249868731579443,
      0.24629330861989,
      0.245241831782339,
      0.257948588970302,
      0.296070023814327,
      0.362050221410903,
      0.421498311573087,
      0.418667975373657,
      0.38768935384025,
      0.360788235041876,
      0.339497486921719,
      0.338308576508836,
      0.363236287155085,
      0.394775912252256,
      0.422488182386711,
      0.427746952088515,
      0.406069147611979,
      0.375594060952324,
      0.361862924151648,
      0.363478624170289,
      0.358762377769399,
      0.349490632577074,
      0.345664911625518,
      0.364673542237144,
      0.410348004893838,
      0.465287393629356,
      0.496438601202431,
      0.510181493707838,
      0.522756584565234,
      0.521773064699733,
      0.511373554989489,
      0.497688047847549,
      0.478749284985892,
      0.459075363825277,
      0.438071851231423,
      0.409772224050718,
      0.393324539331711,
      0.388067913844282,
      0.381170954795609,
      0.383785867231266,
      0.408924595247803,
      0.429763070003142,
      0.417079432345847,
      0.392643319879849,
      0.402768878924171,
      0.432967310504429,
      0.379911139046089,
      0.301317386621969,
      0.296017059329667,
      0.359202404961115,
      0.419454979357478,
      0.419883801105375,
      0.400238182809429,
      0.392013619387937,
      0.377078310746998,
      0.346096477028237,
      0.336027793957835,
      0.374132252743227,
      0.425933204808622,
      0.443731074428424,
      0.439061612491743,
      0.442394846506988,
      0.418824567688102,
      0.317007269068171,
      0.226886084225817,
      0.203675587417073,
      0.228806677202433,
      0.251111162619024,
      0.241473829189921,
      0.230352147086997,
      0.236563255038121,
      0.262407036312568,
      0.311439622330549,
      0.380441202131745,
      0.412013696937725,
      0.386010279774138,
      0.350629136978355,
      0.307406829450022,
      0.275673720496626,
      0.294865958967179,
      0.345222971384035,
      0.378163951994854,
      0.381595007602117,
      0.388513901872341,
      0.414731389122975,
      0.455514541766715,
      0.471292599190168,
      0.381819171128643,
      0.273450276863076,
      0.239703727246293,
      0.273487211954844,
      0.322058600014284,
      0.355264346723971,
      0.378657316855939,
      0.385497370110504,
      0.385543502226306,
      0.398084493810917,
      0.408623194288099,
      0.417956381282977,
      0.44830450387572,
      0.473234749387962,
      0.461908063955414,
      0.427362477919994,
      0.411708221541362,
      0.401860888646475,
      0.389495640091751,
      0.401531071525624,
      0.433229930909773,
      0.44563093759433,
      0.421571588534248,
      0.391060041592727,
      0.392980386395181,
      0.440787061451824,
      0.438536334479703,
      0.340740049977925,
      0.284057611278491,
      0.316483869999838,
      0.394842231000564,
      0.435126897924343,
      0.424914245857076,
      0.408722255003141,
      0.390307900978894,
      0.358915603138015,
      0.338836502557356,
      0.363334477646569,
      0.417418705882274,
      0.443374638961411,
      0.429974048323407,
      0.423920409571029,
      0.447957019300047,
      0.474205333425537,
      0.470201761312614,
      0.450720601340588,
      0.436814306051534,
      0.419155598853293,
      0.399004479605154,
      0.382274017358148,
      0.366828104924961,
      0.357521087431572,
      0.366441080047522,
      0.397964986878927,
      0.426522833499213,
      0.420005497984229,
      0.395081573152337,
      0.36697685137638,
      0.326162366027006,
      0.304198277807846,
      0.326559526703665,
      0.351241331341975,
      0.321268753946184,
      0.270249947676655,
      0.253866902369749,
      0.273145235558396,
      0.289997395996161,
      0.292839277396152,
      0.311115999601971,
      0.33985601145433,
      0.324297106635146,
      0.27369811056487,
      0.24572316148312,
      0.254015301245648,
      0.269922645219571,
      0.256253807185923,
      0.239405123574557,
      0.242041791840328,
      0.251258798100661,
      0.248673275518673,
      0.237049795973499,
      0.20985535559957,
      0.170961960389973,
      0.153416437159461,
      0.170903636655692,
      0.217239262266516,
      0.252328009976758,
      0.252537378198244,
      0.237345985258515,
      0.220139146983856,
      0.221797126785202,
      0.215147427101899,
      0.307652131273294,
      0.408891464626235,
      0.441698030691582,
      0.421609657537688,
      0.413225766732702,
      0.418447192962265,
      0.431774080197086,
      0.454495014810536,
      0.50122695289233,
      0.554509891498741,
      0.513991096535865,
      0.410432700862337,
      0.363248354561354,
      0.375407597381404,
      0.420722379788721,
      0.441941666506871,
      0.363568948026596,
      0.254503021975628,
      0.197716370343666,
      0.190058616278826,
      0.199444259442461,
      0.198746564019873,
      0.19359305258921,
      0.194169261990067,
      0.210511764972568,
      0.250051390024737,
      0.313043385609924,
      0.369487756354043,
      0.370032883175743,
      0.343889285253636,
      0.319955823738212,
      0.309587208275215,
      0.338976581859403,
      0.40798344391752,
      0.469895507576884,
      0.494750180659453,
      0.472535415306736,
      0.431866237201561,
      0.400643484584743,
      0.392556617897127,
      0.400229362441843,
      0.405513081431377,
      0.414025829358159,
      0.428181027421323,
      0.450817366130756,
      0.478779795034529,
      0.495714970833614,
      0.479221197303391,
      0.461785339927802,
      0.475673957495868,
      0.493518599332542,
      0.488394608860182,
      0.468198874435907,
      0.444594935871499,
      0.43146166478935,
      0.425901030037828,
      0.40044000379878,
      0.371414998466751,
      0.365686611529731,
      0.369069488196909,
      0.374249687369556,
      0.382141031812908,
      0.382105270017154,
      0.361215062567324,
      0.338534051778666,
      0.354512415656926,
      0.395727906331953,
      0.354146890765622,
      0.276370626486946,
      0.262859876719588,
      0.317114585976177,
      0.385245009176131,
      0.411434171851444,
      0.416633578058069,
      0.420027879071024,
      0.399741856934105,
      0.347017065760848,
      0.311781845723615,
      0.339394087604869,
      0.395358002402255,
      0.420537621356587,
      0.413668386224391,
      0.402458184409369,
      0.366781502201152,
      0.273114433137567,
      0.195712247514907,
      0.174865152882126,
      0.193224953888967,
      0.207196905899671,
      0.197009586693113,
      0.189725182051845,
      0.199315776395787,
      0.228126903266247,
      0.278219991715274,
      0.343200437253988,
      0.369203082508687,
      0.345358811638062,
      0.314089534911283,
      0.277606837261545,
      0.259777216842013,
      0.2985769150658,
      0.365642528845754,
      0.396919996234355,
      0.387640869666898,
      0.388256662699032,
      0.418125509794515,
      0.460397568201092,
      0.472171874986657,
      0.385903755592222,
      0.280663807282462,
      0.246319811384788,
      0.286578809183141,
      0.346151895310805,
      0.373883450590725,
      0.379402195031043,
      0.384315437977839,
      0.392337850889711,
      0.398502818292786,
      0.407680731231394,
      0.417709115943329,
      0.433149886002732,
      0.446355255584828,
      0.451064693306616,
      0.441619507065345,
      0.419851384237632,
      0.400896710719728,
      0.395002105628067,
      0.404820858075479,
      0.420316253713927,
      0.417909834135089,
      0.392472368278672,
      0.365384033086527,
      0.369301957697973,
      0.419175960865532,
      0.420647647082856,
      0.318354572377277,
      0.250780447419128,
      0.271289492686392,
      0.348720628535198,
      0.411059900978567,
      0.428980121908451,
      0.429466056929055,
      0.41328697795917,
      0.370503975213705,
      0.326371108241166,
      0.330575828402152,
      0.382424143351255,
      0.418906556147329,
      0.413155026363871,
      0.399584234841884,
      0.406637990009081,
      0.424853945291437,
      0.429304494779025,
      0.417322426298595,
      0.399961335467233,
      0.377302480966782,
      0.353915987452055,
      0.339633702227746,
      0.33453790064164,
      0.334646984947052,
      0.340821330185029,
      0.356819901632548,
      0.371664899636128,
      0.367656142329536,
      0.350764359293975,
      0.325790820608554,
      0.299054947599942,
      0.304282309911013,
      0.345877564705614,
      0.368333849495059,
      0.323559099118696,
      0.261939152545363,
      0.238805024778669,
      0.248550895902204,
      0.258209857120713,
      0.268728674145199,
      0.304566587683548,
      0.350003540078136,
      0.339100445300808,
      0.285106253304258,
      0.254878257745534,
      0.263660334626752,
      0.274605143827494,
      0.243207461019193,
      0.206374673341517,
      0.194407266044567,
      0.198565637091182,
      0.196327665727317,
      0.185485535381577,
      0.16006096213242,
      0.125473018581394,
      0.112651251819577,
      0.132613296321341,
      0.17575667955346,
      0.200168981468047,
      0.1910955539648,
      0.17442466724573,
      0.160125733790383,
      0.158429159314635,
      0.216943347152336,
      0.308417523730493,
      0.409764411767634,
      0.440960731618577,
      0.414443945445269,
      0.405445584821404,
      0.421379843706204,
      0.451172351832313,
      0.488649658065534,
      0.543522250544001,
      0.592311216245644,
      0.535402982779971,
      0.423639786468404,
      0.374195473182945,
      0.38291948632681,
      0.419775410126247,
      0.430320624138272,
      0.348339532678942,
      0.241783073848736,
      0.189225772751964,
      0.184999235210816,
      0.195089772746119,
      0.194272844013838,
      0.192106988278656,
      0.197214919607797,
      0.215785965030738,
      0.253487253655973,
      0.31061747062788,
      0.364093879402283,
      0.370145955014636,
      0.346145710677523,
      0.318388147805143,
      0.308218340980669,
      0.345588550425567,
      0.429764833003808,
      0.507124103251204,
      0.529938015707006,
      0.494600928071518,
      0.455351666725003,
      0.436884494785371,
      0.43471327380125,
      0.445546919380026,
      0.45901324511697,
      0.46316299368395,
      0.457169699707547,
      0.450631756364965,
      0.447717234505404,
      0.440370707066384,
      0.412350938603448,
      0.396717724291105,
      0.429797039814239,
      0.476474609185979,
      0.476087173593867,
      0.450055386623966,
      0.438019180133115,
      0.456727509015734,
      0.481510140307578,
      0.445817901260314,
      0.36321619657164,
      0.324234155961802,
      0.338438997238964,
      0.376752673606897,
      0.392445191594359,
      0.369177542152775,
      0.335789137430078,
      0.319216724722351,
      0.3439278335488,
      0.392841497600018,
      0.363162529153719,
      0.288660679336355,
      0.259848590696885,
      0.282265187026858,
      0.335307088466605,
      0.389591866230992,
      0.437240579543711,
      0.464817192699412,
      0.450858745164623,
      0.39682417443461,
      0.348995244357347,
      0.345197478748104,
      0.365335876477763,
      0.372025391479169,
      0.361066544216246,
      0.347400614646768,
      0.318732594690992,
      0.25164186518871,
      0.196629797375848,
      0.184811801156696,
      0.204000214058499,
      0.217497994525312,
      0.208677971570861,
      0.203530742282109,
      0.213639462082235,
      0.241686204897235,
      0.288402062093943,
      0.34800958016804,
      0.37230160848955,
      0.352519253003091,
      0.325314325823596,
      0.294323580907935,
      0.278013554718251,
      0.304524956805374,
      0.353315200663423,
      0.373022193792391,
      0.361434711858446,
      0.362176108850025,
      0.398101565813468,
      0.450691848450082,
      0.466719786610661,
      0.399532889789873,
      0.325339774426524,
      0.303193655985258,
      0.325826630521825,
      0.355532667404218,
      0.362035436102172,
      0.361804294420758,
      0.379533247141438,
      0.406092707649894,
      0.414172533103081,
      0.414515119043147,
      0.412071914426,
      0.410859974241824,
      0.422504612637556,
      0.44940767040181,
      0.462482117052967,
      0.440839673294309,
      0.420891805653905,
      0.428502878383385,
      0.453162307522152,
      0.46298351788768,
      0.425089733131268,
      0.369601335306987,
      0.339251365022796,
      0.353695920433081,
      0.412414455356289,
      0.426168015359527,
      0.334532423278559,
      0.263044894558387,
      0.259181316855858,
      0.303537328024683,
      0.36405442651001,
      0.418846769445188,
      0.459487384615181,
      0.463259154234735,
      0.425019095925816,
      0.374153851551846,
      0.352691818592323,
      0.364768389668246,
      0.37504431751404,
      0.364000502336383,
      0.350247491494868,
      0.354586606539277,
      0.376207063430174,
      0.39743568811938,
      0.409849638430957,
      0.408109990749877,
      0.383121785886712,
      0.352586047321182,
      0.337387425589259,
      0.337284560570003,
      0.34168585226046,
      0.34723670077927,
      0.358523303749231,
      0.370379673940797,
      0.368196811926876,
      0.35058894688662,
      0.321566298123082,
      0.293699320178224,
      0.301159467029091,
      0.34389667980701,
      0.366152525327658,
      0.325061137156242,
      0.270165000687487,
      0.256026856890447,
      0.277012989900879,
      0.296814900086545,
      0.311941068875647,
      0.348360737866108,
      0.389671252350646,
      0.371926700962284,
      0.313357615338266,
      0.280248455929162,
      0.29134907312031,
      0.314070022949867,
      0.289691032262279,
      0.241755481299443,
      0.208872217336032,
      0.196719639040694,
      0.19006323497319,
      0.178988471617928,
      0.155168715415881,
      0.124011742832666,
      0.113614635672913,
      0.134782917863292,
      0.17760514610403,
      0.198029800001798,
      0.18382722104486,
      0.165242772894434,
      0.151442596620812,
      0.14869652239975,
      0.250372630810086,
      0.331315205621222,
      0.410357548537336,
      0.426258944137067,
      0.405755821491224,
      0.409542772914164,
      0.434219201913422,
      0.468608923442358,
      0.511339131373919,
      0.571615978741354,
      0.61629471744424,
      0.546911740162025,
      0.435534021614482,
      0.391259903878343,
      0.39764521072353,
      0.423175718727033,
      0.423536951146735,
      0.34543733058377,
      0.249585575639445,
      0.204084408404296,
      0.199650563146004,
      0.204108765803646,
      0.202739075923154,
      0.205354170384147,
      0.210881736354431,
      0.225195028357628,
      0.261338472203578,
      0.320711216556637,
      0.373373947547136,
      0.373975275626298,
      0.347230303132559,
      0.319911825140937,
      0.30451278442557,
      0.327489938603061,
      0.396665023869209,
      0.468552736533745,
      0.500193834198852,
      0.48050232736827,
      0.451429205448245,
      0.435732717202473,
      0.438576029733299,
      0.457124415779895,
      0.463075927949925,
      0.439408044852574,
      0.410180465202839,
      0.399407842936659,
      0.403001777638434,
      0.406863822109462,
      0.400665414128743,
      0.409218110190128,
      0.451914267058954,
      0.49979927762292,
      0.4976300827569,
      0.479978446176994,
      0.488276137895348,
      0.528680867038568,
      0.568573712117707,
      0.534475794360829,
      0.419503220802269,
      0.34278572523723,
      0.346030887715383,
      0.398629210342933,
      0.428189415869546,
      0.39988609980757,
      0.35533949597968,
      0.330143847299417,
      0.35030867128067,
      0.405233263576935,
      0.384250339314005,
      0.308189131536187,
      0.268829111724706,
      0.274878109836752,
      0.310854086343213,
      0.355384464187853,
      0.403105163844528,
      0.441916379695536,
      0.456206675672089,
      0.433955826710581,
      0.395521832380119,
      0.369586922417502,
      0.364380973160541,
      0.358104183343856,
      0.338592583739982,
      0.319389141951032,
      0.300391516023192,
      0.256349220224598,
      0.216356924396977,
      0.212469787387003,
      0.235064557429561,
      0.248980147962995,
      0.239917444887011,
      0.233564762065993,
      0.23784556323353,
      0.259000265350028,
      0.302667369948426,
      0.36414133727629,
      0.390865282535443,
      0.37134862779833,
      0.344772475618557,
      0.316576402952473,
      0.297493105515978,
      0.320901322566583,
      0.3721372618754,
      0.392247762599842,
      0.372134535108455,
      0.365583536488123,
      0.410761032178012,
      0.483668900692597,
      0.50073523792252,
      0.416999893839478,
      0.343341289688179,
      0.33134429144248,
      0.348758135291405,
      0.355952392523419,
      0.349031879932268,
      0.359093358978549,
      0.39484720272088,
      0.428434056839045,
      0.43920148509658,
      0.434341956542854,
      0.414723766599353,
      0.400019984087332,
      0.412291651335178,
      0.448140304627237,
      0.471619938573063,
      0.463515063942662,
      0.449464323011886,
      0.456807121200567,
      0.485337079209913,
      0.498324019329213,
      0.453142156818564,
      0.386516817805047,
      0.348669550163885,
      0.35758957448971,
      0.415131364630774,
      0.439504609725099,
      0.356109795019702,
      0.282726364347074,
      0.267149602282633,
      0.294256258931478,
      0.341704700283759,
      0.39442880608651,
      0.439608346386893,
      0.45804051874349,
      0.447398337098865,
      0.419032050381823,
      0.390482741557592,
      0.373174779314668,
      0.363208511537677,
      0.342095866725378,
      0.321067328945021,
      0.323023283548572,
      0.356400535946451,
      0.400451771270746,
      0.435905859554926,
      0.44382687069099,
      0.415397647467682,
      0.384126288762335,
      0.372578345484552,
      0.366303595109292,
      0.355323808265173,
      0.351491037577629,
      0.364808253611531,
      0.380896085996013,
      0.374026720352243,
      0.34790650661374,
      0.313839339176129,
      0.280866458900114,
      0.283010910753046,
      0.32426823216504,
      0.35263704716035,
      0.325074052397593,
      0.281948458726448,
      0.278159175898595,
      0.314142937273549,
      0.357090113239183,
      0.387641130320754,
      0.421287167430988,
      0.443886260372647,
      0.407556206744491,
      0.336808071649689,
      0.293482741136718,
      0.302191162702086,
      0.341083717884784,
      0.338301189350014,
      0.292310460910867,
      0.245916786253847,
      0.218708900873744,
      0.206573132508398,
      0.193171047449062,
      0.167491994037299,
      0.136278734935005,
      0.126138778026421,
      0.146517649613837,
      0.186306305591531,
      0.20396587122299,
      0.190540151407187,
      0.173762383657386,
      0.160608860721956,
      0.156949072961007,
      0.285600374164277,
      0.352676860753676,
      0.405819603583239,
      0.4069260376321,
      0.396951740286115,
      0.413146322828144,
      0.439732963473658,
      0.468585388281897,
      0.506297146051655,
      0.565701168967549,
      0.607223260767912,
      0.529179799475404,
      0.414137705530478,
      0.374399274227123,
      0.388856827474125,
      0.420949127627005,
      0.42049412059204,
      0.343084249902772,
      0.257020540043417,
      0.219729467577404,
      0.215429678510749,
      0.214866635473651,
      0.213110601024567,
      0.219756609720142,
      0.227446076184764,
      0.2401757336201,
      0.273993065882804,
      0.33423826080249,
      0.390676677038457,
      0.390030586127374,
      0.353962434969815,
      0.314540283407947,
      0.290237282451901,
      0.30630810735609,
      0.366234704652298,
      0.427430970181225,
      0.458579859190171,
      0.463046616959269,
      0.467402111260237,
      0.471350342047879,
      0.476485516984638,
      0.486411341951857,
      0.480237195520294,
      0.439683256978847,
      0.387323480434397,
      0.355193236782967,
      0.353959915273174,
      0.382752995857937,
      0.424308932538797,
      0.463396118041684,
      0.495938763795426,
      0.508799444506574,
      0.486563428850229,
      0.470721468200694,
      0.487095255361698,
      0.533310024262567,
      0.57669573772467,
      0.546537322985396,
      0.433808161087453,
      0.358159255923561,
      0.360612459504904,
      0.410979034248979,
      0.437930253382182,
      0.409216069454382,
      0.368218665715148,
      0.351224001076043,
      0.376798766809603,
      0.425463050105386,
      0.396888863389291,
      0.317858019715074,
      0.276245845718444,
      0.279625418870561,
      0.312155783376351,
      0.352668934282773,
      0.397317309393883,
      0.434805390034522,
      0.449993140416616,
      0.430530994959615,
      0.396259017316256,
      0.371790926608266,
      0.365133543292551,
      0.356876036410518,
      0.338049632840446,
      0.324103787926577,
      0.319027708926995,
      0.290864092708862,
      0.255480858014539,
      0.247056395702886,
      0.261904651571578,
      0.270375388502237,
      0.259706740798835,
      0.254763026054843,
      0.259881515195397,
      0.27959462007326,
      0.321289191200797,
      0.384353139737016,
      0.412864839100128,
      0.393486965836568,
      0.364887998515611,
      0.332762174803449,
      0.309181526177153,
      0.325534897088712,
      0.366134950476344,
      0.3835280292099,
      0.374952591645812,
      0.379906810317495,
      0.42801672794076,
      0.504131813324197,
      0.528345861767845,
      0.441452448176313,
      0.355326740360834,
      0.326878614739191,
      0.322841630379597,
      0.313698838611846,
      0.314576444577171,
      0.359292310572135,
      0.436425787496218,
      0.480887302320775,
      0.47211206843707,
      0.446543545587897,
      0.412122634263078,
      0.385288657171562,
      0.38974361466117,
      0.42538219089364,
      0.458871283155733,
      0.467089671162873,
      0.462341580561934,
      0.469267086374616,
      0.499385915320596,
      0.519832439590242,
      0.481110889754055,
      0.417343954356491,
      0.38508887581749,
      0.404398437349073,
      0.461988625103102,
      0.468280094958132,
      0.366301988386779,
      0.288183114357913,
      0.274027526886696,
      0.300497342190665,
      0.341675328782433,
      0.386751927181457,
      0.427780402235193,
      0.449671649180783,
      0.448157379288551,
      0.425775806910173,
      0.395051308913683,
      0.373553136659629,
      0.364044051907689,
      0.34529252011473,
      0.327348161694611,
      0.330992078032495,
      0.363927798749768,
      0.408752080661125,
      0.452099253243224,
      0.468854560926016,
      0.441337935590115,
      0.407492258787382,
      0.394832455949831,
      0.386931617930227,
      0.371530797712385,
      0.364678025923043,
      0.379684408665469,
      0.398228216606037,
      0.386984262988461,
      0.350302606251245,
      0.305642477910316,
      0.266778237614994,
      0.267190827723403,
      0.310405129985086,
      0.344444792358771,
      0.328054541001734,
      0.29903823269488,
      0.302889101642571,
      0.330651566561391,
      0.352634269660649,
      0.369213206730299,
      0.402732291460059,
      0.433737709345972,
      0.408837027035188,
      0.345997175562132,
      0.304281078038208,
      0.307104404969638,
      0.336515534263771,
      0.334962865460305,
      0.298507129325991,
      0.260335183577478,
      0.23601731775614,
      0.224475721824445,
      0.212668065209201,
      0.186190971999837,
      0.14959051984748,
      0.134033032044372,
      0.152050206419966,
      0.192344960793841,
      0.213519969697196,
      0.203444998959808,
      0.186817862291986,
      0.170857000583211,
      0.160054717229733,
      0.28773973480391,
      0.351951421693728,
      0.404538193485351,
      0.416178197417821,
      0.422983075149842,
      0.443163712960621,
      0.459048450373868,
      0.473045599557489,
      0.499164821286843,
      0.552746300633825,
      0.59717358157226,
      0.526350494521154,
      0.410721792520963,
      0.372294085997366,
      0.395365424924967,
      0.440761744767537,
      0.445756462063901,
      0.362916350011551,
      0.275995656298569,
      0.241600817999363,
      0.235073411457183,
      0.226574783710856,
      0.220436483009861,
      0.227274936811502,
      0.236732419177498,
      0.251693792376446,
      0.285822895192398,
      0.343607698850878,
      0.397697203452192,
      0.396866748335265,
      0.359462144611409,
      0.316447668966561,
      0.289806164807767,
      0.30354096205459,
      0.356561115876368,
      0.40945799028802,
      0.432544848504448,
      0.431298548658673,
      0.437083713896862,
      0.460536211127821,
      0.494311824380086,
      0.509714440209782,
      0.485483997194103,
      0.438777554218778,
      0.395425692741389,
      0.368882970995047,
      0.367741428036462,
      0.398098194848735,
      0.447458549748468,
      0.492316188002857,
      0.519876518158294,
      0.517151178206082,
      0.482372211082758,
      0.448869358047993,
      0.435139989257812,
      0.450707186503109,
      0.482414934845607,
      0.470224872032571,
      0.395980511689875,
      0.344125246343788,
      0.346559673218732,
      0.392324068322687,
      0.429468181666475,
      0.421072943859574,
      0.40077740192767,
      0.404231711319353,
      0.43195496788554,
      0.445510283805854,
      0.383276395831512,
      0.304090891081065,
      0.279116344517828,
      0.301985499025458,
      0.346401795361842,
      0.385958355548628,
      0.426089484290836,
      0.461945155674,
      0.467009670930068,
      0.422027516460644,
      0.36634484325503,
      0.347829157474407,
      0.361414862697911,
      0.368122701224828,
      0.35980466887849,
      0.35262020129906,
      0.339662037543203,
      0.290075637310492,
      0.241794119462134,
      0.229633432143802,
      0.246604218229895,
      0.259695872014196,
      0.249832703913915,
      0.242893055482306,
      0.248865885380351,
      0.272790062006575,
      0.319056363104858,
      0.384148590845803,
      0.41025369890789,
      0.386635796852577,
      0.355587608319995,
      0.326620324318774,
      0.308242013810817,
      0.319094118846182,
      0.343090545910104,
      0.352261844422779,
      0.353014962895389,
      0.36825113404033,
      0.41294038365538,
      0.47741796607296,
      0.50671808934683,
      0.437761927602877,
      0.347969766684777,
      0.302620161872846,
      0.294877729148931,
      0.303298936338365,
      0.321851273191527,
      0.368420089399173,
      0.43981931056406,
      0.484546212371027,
      0.48067806541643,
      0.457867149008962,
      0.428790382421562,
      0.405701685679704,
      0.400839182744212,
      0.418680386123831,
      0.446498586261611,
      0.45795432290809,
      0.439910226834962,
      0.426088375050845,
      0.448632311821914,
      0.481309589202558,
      0.471998168277077,
      0.435880567527422,
      0.419118096507396,
      0.441789042708282,
      0.487664904670643,
      0.468668239065588,
      0.352271638569423,
      0.277268400989447,
      0.27632489607625,
      0.320499865191242,
      0.374365483677844,
      0.421582026433246,
      0.458627237923731,
      0.465930104040446,
      0.434916687202767,
      0.387096079534573,
      0.360083237068647,
      0.362351702098639,
      0.368599891447147,
      0.358995037109925,
      0.348278530953084,
      0.350451716931503,
      0.368035674764332,
      0.397121834775136,
      0.437777474242855,
      0.462206483100409,
      0.441989589965362,
      0.408553172549859,
      0.390360883182224,
      0.383108938632579,
      0.376785453190154,
      0.376618339451009,
      0.391262168952899,
      0.406321774889601,
      0.393315407778914,
      0.35389096460982,
      0.306433039348036,
      0.268736897275941,
      0.274377057511586,
      0.323782563838612,
      0.362813608704218,
      0.350258583103862,
      0.320130945407539,
      0.311695477184217,
      0.316628513396059,
      0.319684461635014,
      0.330818586884838,
      0.362319114742253,
      0.396485685543721,
      0.384161683871976,
      0.338612201123944,
      0.310811414832402,
      0.313735097326928,
      0.325673664459299,
      0.316632800876761,
      0.293494627609642,
      0.267452602359585,
      0.246556215395644,
      0.240818727920493,
      0.239930364213535,
      0.219174475569759,
      0.179392598967852,
      0.157413582355914,
      0.169694042521684,
      0.207355040649776,
      0.233108595259734,
      0.22842576315588,
      0.212210063604413,
      0.193054800354418,
      0.176335880627547,
      0.266685950216517,
      0.350008669496289,
      0.437745856207438,
      0.478990399491054,
      0.49463890390817,
      0.509409066091744,
      0.506469714263792,
      0.493451967342169,
      0.49637339631623,
      0.537409743756243,
      0.583935714960121,
      0.531712481207524,
      0.434664842412984,
      0.408828580431685,
      0.437825704914126,
      0.482090072261949,
      0.480058059912518,
      0.392177952639107,
      0.306134290461703,
      0.273294626310767,
      0.264702380328554,
      0.251994453225272,
      0.245650709305615,
      0.253275371014316,
      0.261204047925232,
      0.27312835195803,
      0.302850503266597,
      0.354644341066496,
      0.405844544588491,
      0.41038965010044,
      0.379106950571855,
      0.34134874463038,
      0.314818531580419,
      0.316234207402789,
      0.349871291732016,
      0.391439336320781,
      0.420210960903649,
      0.423370123938814,
      0.422206013235934,
      0.446665199212857,
      0.490388130263962,
      0.497287212713534,
      0.456935834758612,
      0.431825973970326,
      0.43983376409961,
      0.459072024336984,
      0.475455139662728,
      0.488530682282299,
      0.505276847515599,
      0.530387893667925,
      0.546572504878969,
      0.529600807199325,
      0.480515758811908,
      0.431004264662723,
      0.397693911871076,
      0.394784189210676,
      0.414832869127258,
      0.420945132952929,
      0.40223234323984,
      0.383426881563832,
      0.380234826137544,
      0.407640829571829,
      0.451218459473985,
      0.466008677054882,
      0.454051338656036,
      0.451477189185171,
      0.469806256394098,
      0.46570867475547,
      0.376291652970895,
      0.288328069316188,
      0.277242866151714,
      0.327297322844109,
      0.390712558537657,
      0.419969666569322,
      0.428395684263948,
      0.434244491179846,
      0.420946773156781,
      0.369846351808557,
      0.322313503575622,
      0.328149104285463,
      0.365549457662685,
      0.387250112193738,
      0.39153938574509,
      0.389686908737152,
      0.360905199010439,
      0.283729469157738,
      0.221342383094862,
      0.204757550400209,
      0.220609971432754,
      0.233713348606249,
      0.224891928229575,
      0.218959774382521,
      0.229792569889256,
      0.259815198987873,
      0.308665685855288,
      0.370827466194679,
      0.396581954931688,
      0.371853986632734,
      0.333215916537837,
      0.290733320553543,
      0.264511397232109,
      0.288194902674277,
      0.345194365654029,
      0.390272693846309,
      0.407821321468058,
      0.425376642263665,
      0.460027102925689,
      0.498661906988124,
      0.499394673406756,
      0.404425138033792,
      0.298219853592135,
      0.263721756515234,
      0.300463387905255,
      0.36315800396248,
      0.407532771794406,
      0.432001717851799,
      0.442802597065221,
      0.448508301320579,
      0.454597026299857,
      0.448104080374687,
      0.439320869973585,
      0.447549521814461,
      0.455719144914199,
      0.451443246207286,
      0.445898576291097,
      0.442938459752857,
      0.42301008344543,
      0.407548607635058,
      0.427836222532371,
      0.464358174965947,
      0.472537445182193,
      0.447984988773929,
      0.42255356755172,
      0.42716032666582,
      0.466942155457237,
      0.447341715956616,
      0.330616887751285,
      0.264499321096483,
      0.286234689340353,
      0.357189046675639,
      0.413270892103851,
      0.43228664464736,
      0.44135410381331,
      0.439575693355794,
      0.405213209398369,
      0.351694317454013,
      0.33250968969317,
      0.359334361167415,
      0.382947781937509,
      0.383211294049114,
      0.38055607038789,
      0.382221508769408,
      0.383135961815987,
      0.39038137527454,
      0.419320112517921,
      0.446776317003862,
      0.439299382919766,
      0.416712518632886,
      0.39901400717969,
      0.389254630014519,
      0.384826675682978,
      0.38608191680999,
      0.398821708277892,
      0.414276637066493,
      0.407719989415681,
      0.374484208882742,
      0.333753418924007,
      0.295080962184865,
      0.288173515249992,
      0.325335308216796,
      0.357306175475118,
      0.336977836798529,
      0.297300239841719,
      0.279780865705019,
      0.275390302387462,
      0.26513472387617,
      0.26690967846967,
      0.301921697123199,
      0.347648983279817,
      0.343663527554563,
      0.30674326502385,
      0.289225124895752,
      0.293431516781066,
      0.288431201583058,
      0.258132134072383,
      0.232647148396874,
      0.22716033631083,
      0.239111251524485,
      0.25365172446024,
      0.258812267441152,
      0.239321245344299,
      0.198699503102262,
      0.174280177283931,
      0.183129539521058,
      0.218543257531248,
      0.246867989545388,
      0.246942227423044,
      0.234610384272415,
      0.215536659638583,
      0.193326624438101,
      0.248129395447982,
      0.354061431098924,
      0.474829160700538,
      0.532928436509538,
      0.54635403867549,
      0.562273742174427,
      0.560586395776817,
      0.538626927003766,
      0.522818238100017,
      0.543401271730904,
      0.57838338897343,
      0.538531355409447,
      0.466741533847836,
      0.458901058178024,
      0.493253012001291,
      0.529742162321268,
      0.513728152480472,
      0.420519581183411,
      0.336952654990479,
      0.304628248793571,
      0.291650238164728,
      0.27325535775919,
      0.266395384719869,
      0.277538269014569,
      0.290375818477142,
      0.304214712396867,
      0.329368221455393,
      0.370091199077503,
      0.410714621023955,
      0.416931510758705,
      0.396608557146597,
      0.374337590076728,
      0.356781827906535,
      0.353761992137941,
      0.374200627354166,
      0.406471940789032,
      0.439460486619673,
      0.443259142385238,
      0.42763644387464,
      0.43117801678615,
      0.45810114701712,
      0.449643023691382,
      0.392464913531081,
      0.360464416092899,
      0.373707386345934,
      0.411937037671478,
      0.453289550421215,
      0.487442909805275,
      0.519688535925681,
      0.558596990113503,
      0.574882771835208,
      0.537000914930983,
      0.475213353981933,
      0.428147783848637,
      0.397406333503892,
      0.391869064045502,
      0.404798542422048,
      0.404697418312649,
      0.392286902037043,
      0.394691805793413,
      0.425916730296802,
      0.480151011940899,
      0.506543500717905,
      0.473507848594521,
      0.431124959845871,
      0.420114344721172,
      0.440022527623335,
      0.448281717013811,
      0.376721537110411,
      0.302255895889097,
      0.299318598716935,
      0.350839841769562,
      0.401451709825055,
      0.406921084060318,
      0.392110072125779,
      0.382342865424307,
      0.369901657768033,
      0.343970959077781,
      0.330545798272167,
      0.3510778478946,
      0.379975696884828,
      0.39250240389622,
      0.402916130081366,
      0.41673893544246,
      0.396729736986076,
      0.312200169003309,
      0.239878575986253,
      0.218824945710471,
      0.234583773813386,
      0.250898409711115,
      0.246461502871884,
      0.244013457177788,
      0.256086633987594,
      0.283755522834075,
      0.326344281617883,
      0.378114954769904,
      0.398063052206297,
      0.378013357763594,
      0.350824377168277,
      0.316966919992628,
      0.288814640558197,
      0.306004550768626,
      0.357148973612739,
      0.403773609588118,
      0.428132236313283,
      0.45373806112309,
      0.488037306900839,
      0.508969821180941,
      0.485480609085277,
      0.376165338935541,
      0.270954150795281,
      0.242572378305815,
      0.284494960677803,
      0.357524056326246,
      0.4240282633789,
      0.460610262524692,
      0.450597594117844,
      0.431859594629496,
      0.432955511801703,
      0.423785239945555,
      0.418456187149802,
      0.43729165779356,
      0.447500199657187,
      0.430192167850315,
      0.409098065793577,
      0.412750632579425,
      0.429292905668612,
      0.449930334942257,
      0.473883064627011,
      0.47656076387333,
      0.442600518744058,
      0.401959594927335,
      0.381582098087828,
      0.393254843088643,
      0.434632157357809,
      0.424097943305019,
      0.329832402375819,
      0.281089374318132,
      0.310586087794914,
      0.378708688362709,
      0.419044833646342,
      0.414869843876845,
      0.398754428667846,
      0.381470944737943,
      0.357308540083717,
      0.338485367053264,
      0.350253164339201,
      0.382035912785081,
      0.396075284924442,
      0.394921482426702,
      0.402575863872513,
      0.413340107286393,
      0.410258114385765,
      0.403330656300257,
      0.419535290261565,
      0.440277925260712,
      0.436807626377395,
      0.429134142913632,
      0.428207671100208,
      0.42821891932705,
      0.420964419209737,
      0.410563844294777,
      0.409768077222796,
      0.417663366112607,
      0.414553288812012,
      0.393518923410833,
      0.369478946533778,
      0.338530169550284,
      0.324156843477845,
      0.347177408464941,
      0.366796097943087,
      0.339782449257982,
      0.297351699450169,
      0.279625369245296,
      0.279128133414766,
      0.271399456209299,
      0.268177981760277,
      0.295520024353501,
      0.33221379355521,
      0.32052180998572,
      0.284381047723591,
      0.274951186327436,
      0.287239411582494,
      0.280281256251853,
      0.237764816735635,
      0.207453796946377,
      0.215026055546096,
      0.246024195860776,
      0.265837782061059,
      0.26674699365613,
      0.2484901644556,
      0.215212656381671,
      0.194904453036472,
      0.203810408636875,
      0.239514546082538,
      0.270913729931883,
      0.272755812529876,
      0.260385172287612,
      0.240796942641479,
      0.217441767428823,
      0.240399504821554,
      0.353048311322775,
      0.479091295636805,
      0.543182145907346,
      0.567802743719869,
      0.600678640718494,
      0.618044646387231,
      0.609448734297102,
      0.589358276544425,
      0.588094679751802,
      0.602139955487044,
      0.570123741953898,
      0.522880146602707,
      0.528971885059227,
      0.569404337134433,
      0.610358735282802,
      0.588600902652705,
      0.469709731866379,
      0.360532359638305,
      0.314626338260166,
      0.296153812109922,
      0.277546326381807,
      0.272387558967619,
      0.287332853156904,
      0.306915520121381,
      0.324009281831674,
      0.345409602227598,
      0.377913680147208,
      0.412161116814743,
      0.418812310664855,
      0.403388929604651,
      0.387615336226112,
      0.383319249599588,
      0.395416879730606,
      0.418213581996044,
      0.441501494681652,
      0.456768293883584,
      0.437440471581532,
      0.406257543473834,
      0.404621135060334,
      0.43346419197332,
      0.438669602749519,
      0.398466313809351,
      0.364289304790512,
      0.356134183292041,
      0.367209728990325,
      0.383991229175196,
      0.408678573935441,
      0.455989865879071,
      0.518276505923183,
      0.550569346413573,
      0.529689117031288,
      0.493477818458152,
      0.473946250850932,
      0.463501152806022,
      0.464038660174608,
      0.469151658028071,
      0.437429754682576,
      0.397028994290451,
      0.415280362521846,
      0.467276395061864,
      0.496692069595489,
      0.463999935325155,
      0.413348509373854,
      0.385016205846832,
      0.376327081217138,
      0.392616265120256,
      0.423084170680109,
      0.415066175167212,
      0.386287580031705,
      0.389139787583751,
      0.423306141240677,
      0.45165452325939,
      0.444441331716309,
      0.425531996928418,
      0.414464822687873,
      0.407797479228834,
      0.401195233032619,
      0.404629997730691,
      0.416436923011591,
      0.422225692371882,
      0.422198106434504,
      0.432961797538495,
      0.451290214307034,
      0.43929976815189,
      0.372685782490575,
      0.317425621610126,
      0.306623504257823,
      0.329170489890337,
      0.354635066625015,
      0.356552139730993,
      0.354024262019919,
      0.360697912914255,
      0.378306062618796,
      0.406334249733191,
      0.44090912361272,
      0.454167466610557,
      0.443421759091613,
      0.433895255032059,
      0.417847308842301,
      0.399616525310648,
      0.401971878845023,
      0.402723737436031,
      0.380102853827086,
      0.363105819614218,
      0.378772794569795,
      0.414313849185131,
      0.442967265460646,
      0.449697810307977,
      0.401658382673573,
      0.344089510263541,
      0.320730427538901,
      0.328347506006229,
      0.356352440790582,
      0.397536814001929,
      0.43398852198985,
      0.446626520862956,
      0.452497675880311,
      0.457243260497405,
      0.443371686021535,
      0.42566431737155,
      0.42371637005826,
      0.426060466491451,
      0.422461248822344,
      0.418249830927029,
      0.437786763808861,
      0.487179881203899,
      0.532832367325167,
      0.54834944349792,
      0.518909166519552,
      0.453282027246793,
      0.402809415955689,
      0.391239025476817,
      0.415961743484687,
      0.459853944764765,
      0.466053450060737,
      0.410978212938273,
      0.377076929287492,
      0.393067407045389,
      0.434220523443146,
      0.454348371707506,
      0.446715636217587,
      0.432507120925826,
      0.414589721732654,
      0.399157049687637,
      0.40443474197377,
      0.426817838250257,
      0.437847776684696,
      0.427163577397216,
      0.415928747499927,
      0.424919247494643,
      0.44238106359076,
      0.444570154424292,
      0.433712151318596,
      0.440749161900218,
      0.45510388601187,
      0.450868438520047,
      0.447509189909354,
      0.456051478700556,
      0.466995814834329,
      0.459939173630528,
      0.437668084944373,
      0.421615852936967,
      0.42305644927385,
      0.423194994148838,
      0.40594493672549,
      0.383754722669211,
      0.364792909554152,
      0.366323338677268,
      0.39197833348342,
      0.407691798002932,
      0.385126043283337,
      0.349277696025318,
      0.336179868778362,
      0.348092898032899,
      0.356845551559235,
      0.350920919315329,
      0.359349258099242,
      0.383131768608655,
      0.375015632228453,
      0.344119402643516,
      0.333114708930817,
      0.341494410267787,
      0.334260593531382,
      0.295406050286177,
      0.264498028524164,
      0.261251995978382,
      0.270881831667518,
      0.272750381040283,
      0.265207048667321,
      0.243989670839958,
      0.213283128514906,
      0.198374666394324,
      0.212862235727559,
      0.254003636496061,
      0.288376013631373,
      0.290521173366816,
      0.279130770313129,
      0.259344647973645,
      0.233470895906232,
      0.238393443536993,
      0.357087951606954,
      0.48999156532315,
      0.562957535576637,
      0.597097593983185,
      0.642175221830746,
      0.679977339266735,
      0.694305620972884,
      0.678301528109747,
      0.653922131895057,
      0.640168038735124,
      0.616980480097959,
      0.596195765069137,
      0.611235169275182,
      0.655636520681997,
      0.706865789983346,
      0.675804372215627,
      0.501705811723898,
      0.343205662520886,
      0.282790856301513,
      0.274954332122954,
      0.275074608509704,
      0.276273094879154,
      0.290356182504519,
      0.312564463933768,
      0.332158905231178,
      0.352098111401009,
      0.38317389307262,
      0.421945189441782,
      0.433476412301748,
      0.418026043485108,
      0.395515997974171,
      0.379354053055529,
      0.391602109898482,
      0.445913413924563,
      0.510909213632087,
      0.539461148644597,
      0.499752044873646,
      0.446745588377735,
      0.437536148145033,
      0.471886462855277,
      0.5158314572364,
      0.538283164101852,
      0.531338783208763,
      0.501459356600019,
      0.471956480610182,
      0.450729352078785,
      0.44715373990629,
      0.477315730222167,
      0.53143940035622,
      0.575312471550741,
      0.593050730718679,
      0.58622427777846,
      0.583446532176702,
      0.594674441671169,
      0.61026536179661,
      0.614311064641988,
      0.593137123993875,
      0.563008286795167,
      0.548668268007579,
      0.532314363005672,
      0.491961714435199,
      0.437909382337845,
      0.408681031999977,
      0.391269362649334,
      0.371880384238101,
      0.380643122442051,
      0.455189606911596,
      0.554300429509248,
      0.59832908184879,
      0.605648633869106,
      0.604514029593578,
      0.598245616501678,
      0.582033606920336,
      0.567534832549301,
      0.564986632120757,
      0.57683648008658,
      0.593220685445989,
      0.598904649637782,
      0.583476869715172,
      0.559916347809397,
      0.549659773316957,
      0.55775950056299,
      0.567026934426305,
      0.547117226858892,
      0.498961165162972,
      0.471882613357921,
      0.476745999586002,
      0.499290627751489,
      0.519609490648729,
      0.522174879852744,
      0.526279826686621,
      0.534609955321818,
      0.535961422312933,
      0.531783524881262,
      0.537929091189462,
      0.551609779818924,
      0.558683276555264,
      0.568501261030201,
      0.577346252512607,
      0.580510098467367,
      0.569195040547953,
      0.529805544307148,
      0.478508414401656,
      0.457709015575497,
      0.470248236752216,
      0.49681753623978,
      0.524550025662999,
      0.555021180221584,
      0.576520225593931,
      0.574657509919929,
      0.553752779606855,
      0.527257462284408,
      0.513132345461716,
      0.519392984213111,
      0.531417195939783,
      0.545375608940984,
      0.571059067851857,
      0.596216773478621,
      0.593861997090666,
      0.560953535908582,
      0.525965517009449,
      0.508667993984889,
      0.512811614284173,
      0.527872762783909,
      0.557255069165664,
      0.595846425840444,
      0.610119039904801,
      0.595320709763474,
      0.564051221984346,
      0.52506007475212,
      0.499692559289161,
      0.496744338066989,
      0.516113626439929,
      0.553554637527108,
      0.594038586298374,
      0.599188758555772,
      0.585114720480418,
      0.583639461191029,
      0.596181490063629,
      0.599150678446135,
      0.586327257759189,
      0.572374324569895,
      0.565214984191891,
      0.575197640340492,
      0.604264183097901,
      0.620596663163914,
      0.596010613733477,
      0.558467707279925,
      0.541729924243568,
      0.54745201587853,
      0.55042462220393,
      0.528207053058125,
      0.489903888739227,
      0.476732800457785,
      0.484470318614385,
      0.477519678643778,
      0.46643991579163,
      0.470128163676021,
      0.482323781304442,
      0.474703450744312,
      0.447533427323642,
      0.42745208639051,
      0.432438253249096,
      0.438742471804745,
      0.423453465232948,
      0.39368809982867,
      0.364197524486191,
      0.374943165548734,
      0.444553121952084,
      0.534218959854379,
      0.572852222914764,
      0.543391088124614,
      0.506362526994449,
      0.505403325404188,
      0.529807624192359,
      0.536271064205902,
      0.536360206095359,
      0.562753294328808,
      0.582227244113482,
      0.554446676267753,
      0.513592265004537,
      0.489533619113271,
      0.472584465464656,
      0.434399665837368,
      0.38596609150112,
      0.342811669031424,
      0.301494943196011,
      0.273072623565332,
      0.26138831105302,
      0.243174061684946,
      0.21260534204076,
      0.197319848970133,
      0.212373610778265,
      0.254624324609726,
      0.289483631030178,
      0.291539593263068,
      0.27947901920107,
      0.258648263938088,
      0.232676764301157,
      0.236299215214992,
      0.366657450867857,
      0.521313409153755,
      0.60777160937449,
      0.62908294107277,
      0.656285506261982,
      0.690298528047607,
      0.716208133653655,
      0.712964969121131,
      0.690954200962679,
      0.676911473843154,
      0.664905052179065,
      0.643892122129105,
      0.638192250623749,
      0.658651563207621,
      0.693907622933786,
      0.654908870014012,
      0.469862594777971,
      0.302249333785972,
      0.244428719893417,
      0.254413959544683,
      0.276358953888257,
      0.281871322653173,
      0.288118022786821,
      0.305044944488706,
      0.325603858012073,
      0.350673172425755,
      0.389515214507556,
      0.434703932226874,
      0.446405660823095,
      0.431180667903343,
      0.406503305654338,
      0.378309962525702,
      0.376501670430557,
      0.434069951886108,
      0.527532554653459,
      0.597501829300101,
      0.588495774467448,
      0.535779869609439,
      0.502485201838304,
      0.513846736587412,
      0.57039386956347,
      0.632442333715018,
      0.644958767360913,
      0.620684173811618,
      0.603585353864556,
      0.592237356267939,
      0.573621300704683,
      0.565579525784719,
      0.588058461611716,
      0.618902936573674,
      0.647700024806589,
      0.651544303854416,
      0.643313500782679,
      0.651453638377454,
      0.674319475100758,
      0.690367157487664,
      0.694388166237598,
      0.668880614018615,
      0.599945227400006,
      0.505865425501982,
      0.423092152733718,
      0.396624135222469,
      0.413353918529933,
      0.412911476623242,
      0.38772605622154,
      0.386138512370452,
      0.47659206602296,
      0.605097119352035,
      0.660639483816323,
      0.672597210500359,
      0.682850105749744,
      0.688099074592411,
      0.667988591884029,
      0.645133210884744,
      0.645288039924803,
      0.673542832522276,
      0.710109259171369,
      0.732591883898886,
      0.717413232068916,
      0.671226267321856,
      0.629991328732701,
      0.61212019706077,
      0.601943753714069,
      0.562104618905576,
      0.477779168024882,
      0.419437942969285,
      0.420945922853959,
      0.464943612671323,
      0.502306736700913,
      0.500897452923021,
      0.503210869778105,
      0.513499808091737,
      0.5122502400447,
      0.506125295767874,
      0.5244956379783,
      0.554435200993517,
      0.56398182373684,
      0.567498343419262,
      0.57230730046061,
      0.584637691632778,
      0.593309168792035,
      0.590193109453266,
      0.586535154991939,
      0.590956458450067,
      0.599341740982536,
      0.613947953956991,
      0.640852071028152,
      0.679736982605829,
      0.719715502690711,
      0.728194988102288,
      0.703043839942806,
      0.669467190770291,
      0.647177911248126,
      0.639115081726824,
      0.62995782984226,
      0.622064942817407,
      0.633170065684691,
      0.678805040284589,
      0.721910294753512,
      0.718482086859696,
      0.685807184908112,
      0.648261569149792,
      0.614772483775952,
      0.597364851360211,
      0.615554084799441,
      0.62448644809695,
      0.588983985882374,
      0.547175027895162,
      0.52804424081628,
      0.526903665726652,
      0.533157719913163,
      0.535750498343217,
      0.533594821010411,
      0.555399951699343,
      0.630106571502567,
      0.688607782243723,
      0.70302321083753,
      0.704717919422804,
      0.707296926553648,
      0.701001295229299,
      0.681962255386509,
      0.660829053483569,
      0.657182150684791,
      0.683459735248884,
      0.719797777811463,
      0.727223779287069,
      0.691259703020312,
      0.642807461520911,
      0.607398975743615,
      0.593177549149555,
      0.583773474603741,
      0.556934727665051,
      0.512563174705951,
      0.491612295049501,
      0.497447394635049,
      0.492580638656211,
      0.479348969777517,
      0.474995554275198,
      0.478953855710218,
      0.470625323874526,
      0.449679506186278,
      0.437121448344378,
      0.445703846682858,
      0.452510197450512,
      0.439749137955239,
      0.403591602628981,
      0.349102052326449,
      0.345155718212429,
      0.445138957888849,
      0.600498105520335,
      0.679334751201296,
      0.639044463665889,
      0.586237497442552,
      0.593507309744377,
      0.633995668431311,
      0.640982292419853,
      0.643386595850277,
      0.688973406629684,
      0.721569889385496,
      0.67420371373869,
      0.598447426324116,
      0.550793197495481,
      0.535502407928738,
      0.498060748979738,
      0.428756210295197,
      0.358845454580388,
      0.300850943311623,
      0.267949071965146,
      0.255306961867654,
      0.237477979920779,
      0.206042960204986,
      0.190703107778417,
      0.210003884901239,
      0.259082989457994,
      0.292002953895997,
      0.28425627921111,
      0.268221042059439,
      0.250118419858603,
      0.228063978494429,
      0.235905732766492,
      0.366446310103196,
      0.531606587402887,
      0.632958105057529,
      0.644549061005423,
      0.637692273539603,
      0.633203880227355,
      0.637817381312098,
      0.644361330517586,
      0.656720431792925,
      0.683269748082544,
      0.685580470270621,
      0.645056945896808,
      0.609297900463301,
      0.595692854467501,
      0.600893457714882,
      0.568921912536529,
      0.430703811427897,
      0.291577452766071,
      0.236571405248617,
      0.246178906430214,
      0.272613686086278,
      0.279594539054926,
      0.281062287372714,
      0.290346633400769,
      0.30560498439145,
      0.333642283207711,
      0.385200588637262,
      0.447239304640088,
      0.469989464935642,
      0.458760698088593,
      0.427943184892388,
      0.38103634095824,
      0.354536920852364,
      0.376955370835861,
      0.431115727936164,
      0.490582477049533,
      0.52067553274409,
      0.512676691547655,
      0.49240537932735,
      0.501094639437461,
      0.535987094543002,
      0.542600557233991,
      0.511958188664031,
      0.486109301675077,
      0.484949138884956,
      0.49348508095558,
      0.498477482319288,
      0.500029374954777,
      0.514343584860453,
      0.542794908176288,
      0.572325612604526,
      0.571746572700434,
      0.550971668171524,
      0.539138965306137,
      0.544668748515177,
      0.551349862897749,
      0.529568494144552,
      0.467263967567599,
      0.401594948453952,
      0.362222045979246,
      0.366409479480806,
      0.408559127361858,
      0.445062497331531,
      0.441623063461583,
      0.403295807962665,
      0.379244807253636,
      0.428320186149606,
      0.482262161306522,
      0.485419057429651,
      0.490953353095478,
      0.522143181858668,
      0.553958973516835,
      0.552614893891205,
      0.538750672032202,
      0.53863114698095,
      0.553124654224773,
      0.55822604891567,
      0.547659770208693,
      0.539297775916469,
      0.538145043833154,
      0.527081656693477,
      0.512346495334707,
      0.506427012972789,
      0.475232394280945,
      0.380651492600674,
      0.305833161980687,
      0.299348090914481,
      0.340325270272043,
      0.37296897412692,
      0.366616548583766,
      0.364845297228494,
      0.376526997397203,
      0.389105686692647,
      0.410492641592369,
      0.462342135463024,
      0.509966899953933,
      0.512202179608493,
      0.492395516458496,
      0.455280488053022,
      0.422227112548997,
      0.415830133546538,
      0.422149443036019,
      0.421215002171047,
      0.417255634642643,
      0.429687237246264,
      0.470726901325,
      0.531110823452805,
      0.571145189009218,
      0.557629395389381,
      0.519223315251396,
      0.488422068694702,
      0.473629736777033,
      0.477533044860041,
      0.494137931492356,
      0.500581942581538,
      0.487402265508312,
      0.484648376979754,
      0.531830071592441,
      0.582891584150858,
      0.585595530031062,
      0.56935084623798,
      0.554374481619912,
      0.531050268984798,
      0.501691377252232,
      0.501101326207416,
      0.502233827243237,
      0.479236969862203,
      0.471239910165426,
      0.488387600335982,
      0.501338668115306,
      0.49524631334367,
      0.475488933859697,
      0.452676069432694,
      0.463096969159949,
      0.503424507016654,
      0.492981448232128,
      0.469949213470586,
      0.485946589756014,
      0.536218181322529,
      0.568487816510584,
      0.563338993238263,
      0.552139880299284,
      0.551256650154207,
      0.556099466589174,
      0.560917607164448,
      0.565498455954563,
      0.562518334324124,
      0.541679904673476,
      0.510283351650893,
      0.493950400593232,
      0.495095232378934,
      0.493291914021855,
      0.479110145887475,
      0.479632376047207,
      0.494071409380484,
      0.488896421597705,
      0.468247939295899,
      0.448891529254095,
      0.435698904736566,
      0.424156771327553,
      0.419776479512407,
      0.434308578750606,
      0.461685546202925,
      0.474683221421213,
      0.463047373461821,
      0.418259606291447,
      0.337286934349317,
      0.294825782018263,
      0.341048056882991,
      0.432581777738516,
      0.480520241890662,
      0.459110268320465,
      0.432549670571949,
      0.445567779208552,
      0.479737414076454,
      0.484114531567381,
      0.477875572993247,
      0.498011547574131,
      0.505657538591028,
      0.470875676243189,
      0.438289041046128,
      0.437418055364182,
      0.44738374806971,
      0.418680486961233,
      0.36715841079488,
      0.323715494678646,
      0.289617718222303,
      0.263969293856171,
      0.24501631878156,
      0.222604149807457,
      0.195956630330778,
      0.189412768891405,
      0.218361240873079,
      0.272333606921178,
      0.291860374299842,
      0.263020698707279,
      0.239580870403625,
      0.228814301594478,
      0.218301990019131,
      0.234782091440502,
      0.355706838407304,
      0.505835600034474,
      0.597388297256111,
      0.607003046718495,
      0.592930355755482,
      0.572314687988988,
      0.55899744579023,
      0.562230129943335,
      0.592410248614156,
      0.641895482034847,
      0.642616177093273,
      0.593049440066054,
      0.560143470408376,
      0.551349825732213,
      0.556934975619386,
      0.53432846605612,
      0.423317937038794,
      0.300488352481344,
      0.243155731097774,
      0.24356243525317,
      0.262913479504753,
      0.26546529084872,
      0.262289152447485,
      0.266803222673577,
      0.280222684301009,
      0.312958050683916,
      0.3777516338368,
      0.457852394039579,
      0.491661937680884,
      0.478683054061971,
      0.436923300664943,
      0.376181414526091,
      0.337028093979965,
      0.343264453829345,
      0.376432962179617,
      0.419256966839437,
      0.440975464850006,
      0.431320527829031,
      0.423787556445545,
      0.462142599851137,
      0.50356837635175,
      0.471904681717725,
      0.411229520299845,
      0.379112088400066,
      0.374616141965591,
      0.385857638996862,
      0.420341789080662,
      0.473075396541627,
      0.512271458544112,
      0.526789236806864,
      0.533188113905523,
      0.529374898548413,
      0.499531527371929,
      0.455260355121099,
      0.42804599632648,
      0.42401320092876,
      0.402781303544422,
      0.352927010197447,
      0.321195640849877,
      0.330273899630361,
      0.382655957439124,
      0.457419527463316,
      0.508858624344518,
      0.507424162164496,
      0.453528900379184,
      0.400421062592169,
      0.404876664983772,
      0.382654964255325,
      0.328161802390304,
      0.319415079623753,
      0.367893482071383,
      0.425942564076924,
      0.441484661256482,
      0.435991265894268,
      0.434988769286451,
      0.427212817302092,
      0.399759793777734,
      0.37828308999895,
      0.394814966982156,
      0.429521932417176,
      0.437247343748806,
      0.427156841050752,
      0.427515307550025,
      0.409678386924424,
      0.324848377000006,
      0.247829358473328,
      0.231187718208051,
      0.261508054746391,
      0.286779598062364,
      0.275434067088586,
      0.268036151386647,
      0.280538847246827,
      0.305138702681441,
      0.346441563315357,
      0.414690204483485,
      0.463741768048427,
      0.459414186973607,
      0.429426612081025,
      0.370695289265183,
      0.317754179076988,
      0.319184522335488,
      0.347725250088452,
      0.348379549220908,
      0.324770367040971,
      0.325959881040574,
      0.3768491681454,
      0.46072773662439,
      0.502736067153744,
      0.429709993012245,
      0.334969640630042,
      0.289669379072721,
      0.284965615774974,
      0.306779831213182,
      0.346146521193039,
      0.376730846341717,
      0.376905470393341,
      0.375187783532476,
      0.405461086969837,
      0.436414445004907,
      0.442284088554397,
      0.45057658997593,
      0.462581341569084,
      0.454708998947449,
      0.424507941796831,
      0.412439018466562,
      0.417735137609341,
      0.427522200799625,
      0.465957240268767,
      0.519237408348598,
      0.538845831216673,
      0.511682638201341,
      0.460290452626574,
      0.408870980662276,
      0.401281285257002,
      0.407974678426822,
      0.350893011446026,
      0.307760368290886,
      0.330357286363087,
      0.398585066402405,
      0.446161727910334,
      0.450137051405354,
      0.442550198615961,
      0.431715676884039,
      0.410065334925573,
      0.388956783564747,
      0.393204156076408,
      0.423485991976653,
      0.437954132625308,
      0.422761437029918,
      0.414970496340713,
      0.434197663512439,
      0.461657006995186,
      0.475578263511685,
      0.485562698833468,
      0.494797206098203,
      0.485990475851651,
      0.461146663983091,
      0.432909384587814,
      0.410142896690597,
      0.39604270330945,
      0.398875084380809,
      0.427725693486477,
      0.47024675438275,
      0.493563089588548,
      0.483252718825901,
      0.433879172576625,
      0.341950189940874,
      0.272088756463806,
      0.275728007565195,
      0.316350227490492,
      0.325424421047801,
      0.302232360256452,
      0.291789527355034,
      0.30800508402089,
      0.323747916562203,
      0.320342938296991,
      0.325108560079066,
      0.348392215649861,
      0.343518449110198,
      0.30778598388842,
      0.290307986707835,
      0.306499583057283,
      0.325050455858374,
      0.300374260964433,
      0.262156130381012,
      0.247546179612122,
      0.251431098813922,
      0.2477597499373,
      0.232376218285594,
      0.206727074901618,
      0.17779994427589,
      0.172345776362276,
      0.203109864543004,
      0.256416048220546,
      0.270908323971312,
      0.236920785499493,
      0.210137703685513,
      0.200116800887069,
      0.194753844537467,
      0.230063274126881,
      0.34529414871281,
      0.476703155328733,
      0.537489304137415,
      0.530181473513933,
      0.517131350764849,
      0.503196948813804,
      0.493745318886222,
      0.502141613820604,
      0.543707627408097,
      0.600645790183563,
      0.58456915990316,
      0.517143321575552,
      0.488352553445827,
      0.497196631798223,
      0.519237294938876,
      0.507877628622277,
      0.415162887896853,
      0.309544869885842,
      0.256004267214113,
      0.24785913216212,
      0.255203383945156,
      0.250740236699964,
      0.244141212206579,
      0.245343095099503,
      0.259078869016687,
      0.299657803147237,
      0.378022581562405,
      0.463418580314679,
      0.485444071879993,
      0.461267245210504,
      0.417859049621562,
      0.359639455990874,
      0.32906718523478,
      0.360829561286289,
      0.415471274262455,
      0.44560525957177,
      0.431075796200718,
      0.411266129724755,
      0.419564006654079,
      0.451485617624847,
      0.457393885719502,
      0.416299364581872,
      0.382606122175189,
      0.379978073992449,
      0.39497634058013,
      0.417605803997742,
      0.465220296296647,
      0.5441812494626,
      0.603383377676499,
      0.603423571325455,
      0.561620774131238,
      0.511805160083806,
      0.464371448301964,
      0.421725779781455,
      0.400660831040533,
      0.398479597275696,
      0.383088306847992,
      0.355872237502657,
      0.350691606502296,
      0.383088017356592,
      0.448007243499253,
      0.50923466583973,
      0.526622129600395,
      0.501271083658603,
      0.452203920464361,
      0.421260524839966,
      0.42696617575734,
      0.369368561436382,
      0.286783038072235,
      0.267848728137294,
      0.311627608366573,
      0.36925058648258,
      0.39283044194597,
      0.398420868743149,
      0.403453488451002,
      0.392773715855701,
      0.356988211920047,
      0.328385676693039,
      0.342247388419331,
      0.379119510959357,
      0.391152107313356,
      0.383312318446607,
      0.383502132479226,
      0.370685203113941,
      0.298852749022345,
      0.230072990547364,
      0.211670713262324,
      0.23369898140078,
      0.252835378369234,
      0.242358472880745,
      0.232955119422294,
      0.240100361692562,
      0.266938059597684,
      0.322258162494937,
      0.403193220276871,
      0.446263559569155,
      0.429087426944887,
      0.392944788247699,
      0.332638511473953,
      0.278120170372383,
      0.292216965948805,
      0.358937278125173,
      0.40250863140793,
      0.397282469746375,
      0.400412061563188,
      0.451952764974922,
      0.53165243211502,
      0.552622852829178,
      0.436765571022912,
      0.315936913645626,
      0.277032669792828,
      0.29740548645416,
      0.337652158821579,
      0.377567470692299,
      0.400594947939692,
      0.391969068814127,
      0.382894444183134,
      0.397661051681448,
      0.409705993152786,
      0.411710637277428,
      0.434491617375643,
      0.468777896270562,
      0.481424850954008,
      0.453991820458842,
      0.422237135750167,
      0.415438177934033,
      0.432630485517742,
      0.478241380388011,
      0.526969370204336,
      0.531176821655129,
      0.487293435850058,
      0.430781103483837,
      0.394024428841032,
      0.408264973849081,
      0.407080644936991,
      0.322300882157024,
      0.264676466036865,
      0.280980120746376,
      0.344362143418542,
      0.393010653901182,
      0.405726100678862,
      0.409442740347021,
      0.404669260655178,
      0.377458298808761,
      0.343104320754106,
      0.338652207419954,
      0.371870652358436,
      0.393173549954573,
      0.379760642167425,
      0.368872144715402,
      0.389546418095443,
      0.432011692610566,
      0.469988008260584,
      0.495893703658377,
      0.505052963019701,
      0.49407999400863,
      0.469890181336436,
      0.436610467591889,
      0.398918199735514,
      0.374273813139811,
      0.381397369074291,
      0.422598705531593,
      0.466523204452099,
      0.477325683411398,
      0.459099260344487,
      0.411106813322299,
      0.32292729343582,
      0.25975187558858,
      0.27488683855034,
      0.321957663345536,
      0.323856075655228,
      0.2937215389713,
      0.282726490820352,
      0.291288627469268,
      0.289088812279703,
      0.282571987784817,
      0.302012641164782,
      0.333618408586559,
      0.324714073390654,
      0.295905118680977,
      0.291985376324703,
      0.30576048516204,
      0.297531267285692,
      0.254390442994703,
      0.224498377722968,
      0.222999130620838,
      0.234111024355809,
      0.235065179983275,
      0.225109956762603,
      0.200348084246948,
      0.166410981545175,
      0.154521043427741,
      0.175873471586005,
      0.21918410834536,
      0.237594864954717,
      0.220421191699572,
      0.202681441345138,
      0.191419836222033,
      0.18332718318198,
      0.224467711493907,
      0.330037586611355,
      0.441027256747173,
      0.478723657687172,
      0.465791690824593,
      0.462743028547308,
      0.462349022084101,
      0.461475871577203,
      0.474327175721153,
      0.522507812006433,
      0.585136158390517,
      0.553608316099262,
      0.457507979384454,
      0.414685718964004,
      0.428041040472617,
      0.467559501744836,
      0.476056321811285,
      0.397682141770667,
      0.301082365920304,
      0.252908527925735,
      0.244954916149048,
      0.247500116870421,
      0.241095946968239,
      0.236060510400679,
      0.236481186189328,
      0.248792150873277,
      0.292500582708184,
      0.376698605636205,
      0.459443012865295,
      0.46678035492389,
      0.432657955949777,
      0.39100993908467,
      0.337554643482111,
      0.31588806811873,
      0.374808342479687,
      0.454424301081103,
      0.474446260469724,
      0.427582439755708,
      0.404295238017635,
      0.431233271149431,
      0.454773347359532,
      0.429868244035893,
      0.386342715299129,
      0.374519938604106,
      0.392236547752373,
      0.421400068281256,
      0.445259036605736,
      0.472893034545095,
      0.520190525419567,
      0.568669137504185,
      0.582143972092805,
      0.548102680755126,
      0.484841440971763,
      0.432359529905135,
      0.407758957046856,
      0.41560455575949,
      0.433450568300753,
      0.403783598827769,
      0.337755758299615,
      0.315182930070991,
      0.356240728783295,
      0.431387635184352,
      0.467476803699344,
      0.436537290092022,
      0.392977135188952,
      0.374696499009419,
      0.397179000413374,
      0.430821160430699,
      0.37851781134343,
      0.298186001638643,
      0.271854925756705,
      0.292952699433345,
      0.328758874873605,
      0.350290207783547,
      0.369115155040911,
      0.392623892963551,
      0.396837342397817,
      0.363238196948052,
      0.324559290949952,
      0.318227212364676,
      0.333945855495522,
      0.341088095054065,
      0.341764712497904,
      0.349715678728697,
      0.342587776567986,
      0.283670399549164,
      0.228230036481761,
      0.215706981952928,
      0.233817769173616,
      0.243903346588335,
      0.229989120910699,
      0.220950851469913,
      0.228535260290224,
      0.257934480379127,
      0.319154663758707,
      0.402902702833376,
      0.435521374454243,
      0.403580641923404,
      0.36385422795356,
      0.311474129220313,
      0.258348516471405,
      0.258002971790962,
      0.306295702214417,
      0.351205118907482,
      0.372214979444272,
      0.400859710478739,
      0.450708254696771,
      0.492457544309149,
      0.48578594774269,
      0.386474292039941,
      0.283090435761904,
      0.252235282965874,
      0.287716982612788,
      0.342776701654752,
      0.377014953234678,
      0.39586331331084,
      0.414187229309956,
      0.434400030686704,
      0.431167588143038,
      0.402623714526116,
      0.384779766683145,
      0.403699361972716,
      0.442406293314229,
      0.477311465915468,
      0.483229188110069,
      0.458387675867158,
      0.430172580395273,
      0.431633262845002,
      0.467015822414489,
      0.487933435833557,
      0.449233392878575,
      0.387983517867121,
      0.356095995354823,
      0.36889278979246,
      0.419797738502631,
      0.422087878930571,
      0.331032507605342,
      0.266672093921278,
      0.266717686956987,
      0.307118546404524,
      0.347046178551037,
      0.370961229278705,
      0.392382662713282,
      0.402522074270401,
      0.382861107363431,
      0.346416191692459,
      0.329118351581731,
      0.340059748162894,
      0.34815470541646,
      0.339484544199471,
      0.337965545273161,
      0.361444154539796,
      0.402578592341263,
      0.444346775176925,
      0.481643947434864,
      0.49735143020208,
      0.481396708034911,
      0.452908099445503,
      0.418094987515546,
      0.376856185426219,
      0.351530120141576,
      0.364391901335012,
      0.412845423852966,
      0.45485631108548,
      0.453605521346357,
      0.429453092921932,
      0.385564086946463,
      0.300088794550564,
      0.241076593047107,
      0.266166894691372,
      0.320470681000108,
      0.321207833563,
      0.286271649126356,
      0.274121830281123,
      0.285639442579397,
      0.289021165036841,
      0.288147865531825,
      0.311784445586981,
      0.346711379539596,
      0.338584096128178,
      0.305761080315576,
      0.294944853373777,
      0.30230851158126,
      0.295330954212954,
      0.264983970668878,
      0.247503578584367,
      0.245295759224355,
      0.242827198257284,
      0.235559874679843,
      0.223561808510478,
      0.196076391705574,
      0.163200817770496,
      0.15257949859393,
      0.168603214098518,
      0.202060788498987,
      0.22013103495165,
      0.212561180642865,
      0.198290448345073,
      0.185113680585296,
      0.176605356632942,
      0.221230871143596,
      0.317476694741008,
      0.415743484285879,
      0.447234589624018,
      0.441532022512238,
      0.452393359494347,
      0.463932790375712,
      0.46751649361121,
      0.478718014542639,
      0.525020408955834,
      0.584383506253663,
      0.543774802104192,
      0.438913774716335,
      0.393273711218592,
      0.404916174430749,
      0.441223290205593,
      0.447209291793644,
      0.371956969916824,
      0.283352103636109,
      0.244194297069306,
      0.243358737592967,
      0.247844138328551,
      0.241015274218253,
      0.234503473641086,
      0.233238817146505,
      0.245012810432178,
      0.286354937361385,
      0.362555427466091,
      0.433331150253208,
      0.433083032206844,
      0.399272210959665,
      0.368319979588682,
      0.32906121007983,
      0.302863889269193,
      0.33550742165719,
      0.402229206969101,
      0.440837663306611,
      0.419565069608002,
      0.393917899422207,
      0.402544391430111,
      0.426426423272787,
      0.426628291870615,
      0.396305915718002,
      0.36232291263219,
      0.341474967381609,
      0.339253672789386,
      0.351906613476564,
      0.383612003567145,
      0.431654074395482,
      0.48343393512561,
      0.522831922170485,
      0.517908101661499,
      0.466985611724098,
      0.440401305798055,
      0.463979929650325,
      0.516837753766275,
      0.54981329670575,
      0.492852082024944,
      0.377038549769632,
      0.321983399571496,
      0.34270133749222,
      0.398007280232634,
      0.425169382702631,
      0.403809585903114,
      0.36928212588585,
      0.356536031115835,
      0.391242420505456,
      0.437206806124282,
      0.398245450351797,
      0.327357245215106,
      0.293977357236088,
      0.288490250438264,
      0.300270515036559,
      0.327298666905393,
      0.370706966122645,
      0.413434672117654,
      0.42431625018854,
      0.392990167990371,
      0.353229160315134,
      0.328195996239691,
      0.316139361600472,
      0.314290678270999,
      0.31996954199919,
      0.33043157982631,
      0.325132541194692,
      0.276933907615442,
      0.231515097878629,
      0.224918989811547,
      0.247221287372921,
      0.261270889239804,
      0.248383729052408,
      0.236375833956739,
      0.239096727646739,
      0.263658251736638,
      0.317742288708215,
      0.39182980777143,
      0.420373863060529,
      0.391201822508676,
      0.358892942458249,
      0.324770789680568,
      0.285077678814101,
      0.269299612343683,
      0.278713037665299,
      0.292660892877422,
      0.309164211569567,
      0.341374848607581,
      0.389048996414551,
      0.425144009714626,
      0.424167695011878,
      0.355850129224209,
      0.27976233745832,
      0.250062173563013,
      0.259707974677199,
      0.282316042954338,
      0.308314943415161,
      0.360472340449848,
      0.435529483677852,
      0.479398390171042,
      0.446493284882431,
      0.387198108280742,
      0.365139062513327,
      0.3795753621982,
      0.408578340881063,
      0.442090797045107,
      0.465479132774115,
      0.465025992126383,
      0.44922136035245,
      0.442678625256023,
      0.454858864678507,
      0.458162311444702,
      0.421198074041023,
      0.369526094339008,
      0.342973205162166,
      0.363323579765836,
      0.424529096534515,
      0.435605399163,
      0.358537385581176,
      0.299773898694954,
      0.282397465583371,
      0.290250298923394,
      0.318764637080492,
      0.363502857561388,
      0.407356997263568,
      0.422774657952856,
      0.403313234331541,
      0.371713468448498,
      0.347392413172628,
      0.327248301192359,
      0.313114721791865,
      0.307785561262386,
      0.315706492775448,
      0.337852244097652,
      0.368779556256473,
      0.405289673876613,
      0.450371002692397,
      0.476780340192548,
      0.457364404011895,
      0.424121332442859,
      0.394605690356391,
      0.362620853517065,
      0.341415387165202,
      0.352089563527838,
      0.395555981866657,
      0.432739808294048,
      0.425987958222326,
      0.398736939012163,
      0.359704674132505,
      0.283895734871742,
      0.229700017967501,
      0.250659824871572,
      0.299225743305488,
      0.308781456469915,
      0.290184072664651,
      0.288382368261892,
      0.305624757924824,
      0.316124728890744,
      0.316954520199899,
      0.331663238572037,
      0.35569244535495,
      0.343567461513223,
      0.307843801021121,
      0.294485785395497,
      0.310058564182751,
      0.331064853959733,
      0.326592315095809,
      0.306260273673098,
      0.279114081626098,
      0.24886273427085,
      0.231331865044522,
      0.218129478919977,
      0.192044681569237,
      0.162596670003531,
      0.152489521502371,
      0.165748555529058,
      0.198230750812096,
      0.221604750652333,
      0.217592399229761,
      0.200718484326689,
      0.18442324946167,
      0.175661818870924,
      0.220811941053876,
      0.320432490218561,
      0.425484407809356,
      0.454515736193832,
      0.437753006080184,
      0.447105685943034,
      0.466298866849598,
      0.475356552063076,
      0.486150093667001,
      0.531143843046735,
      0.591427914935867,
      0.554462926571171,
      0.453849477754735,
      0.408290141603008,
      0.411043290263684,
      0.432119682461232,
      0.435046450716775,
      0.375784242356772,
      0.299264178983527,
      0.260816412345721,
      0.254318741672855,
      0.252569647737246,
      0.242996849918487,
      0.236194107663148,
      0.235791870077092,
      0.247893393033855,
      0.283868251304165,
      0.348605012026217,
      0.410089764973711,
      0.410803813553067,
      0.385126577653343,
      0.370426529892713,
      0.349717660713592,
      0.320828667401449,
      0.320062945774333,
      0.358289792917928,
      0.411620276586614,
      0.433450307067758,
      0.418930625446917,
      0.398231003953878,
      0.402831597083932,
      0.426890584893872,
      0.421583808900254,
      0.375244873491699,
      0.33252533608479,
      0.324258880300151,
      0.344961313559494,
      0.381431090451126,
      0.418775021267497,
      0.459475088081718,
      0.506170388929805,
      0.526553741358519,
      0.4999846262503,
      0.497510901433684,
      0.54629048622343,
      0.622147425739206,
      0.675731134308176,
      0.623431510838143,
      0.471558081789046,
      0.369397765613328,
      0.354284256966968,
      0.38978027999102,
      0.421538666295561,
      0.419485447332052,
      0.39778657558276,
      0.387980177525372,
      0.41823653675941,
      0.457502663186998,
      0.413071865798445,
      0.333102445631305,
      0.291094022627006,
      0.282247956099268,
      0.29976122591679,
      0.338924065376964,
      0.391335775242816,
      0.43225796627296,
      0.44346355426616,
      0.425695987973255,
      0.398192808802672,
      0.366031586590907,
      0.338358837401812,
      0.328014116258031,
      0.33183637427794,
      0.344165006889909,
      0.345560533913841,
      0.305775130188809,
      0.263650980284822,
      0.256802457196966,
      0.277335219725746,
      0.290576268651523,
      0.276167691263183,
      0.260846452460733,
      0.258135411719128,
      0.27572893335662,
      0.320145347265928,
      0.387260091702366,
      0.41677638848862,
      0.393984072360458,
      0.376179771194275,
      0.363254871566813,
      0.334336993760198,
      0.317172266658195,
      0.319958362350367,
      0.326421082297266,
      0.328069280808284,
      0.334579714680416,
      0.360292902949021,
      0.403537371090864,
      0.428639761491028,
      0.375720129208225,
      0.310397392087276,
      0.288859296764067,
      0.296285203858063,
      0.307523052146109,
      0.325429511499643,
      0.380399451934046,
      0.46308907913643,
      0.504932507285763,
      0.463317417524468,
      0.395904944679673,
      0.367771720523374,
      0.378359933862551,
      0.406948343245655,
      0.434476151424564,
      0.446726096610014,
      0.452219168735825,
      0.45442348035407,
      0.449037333420394,
      0.449754057529633,
      0.454227013258388,
      0.433055234771163,
      0.394822229388975,
      0.37621172636142,
      0.403351541325488,
      0.464339861797842,
      0.466753042681867,
      0.372898863939305,
      0.300510338344999,
      0.277109697162743,
      0.285816023304687,
      0.320530699780569,
      0.376329510793766,
      0.430052578152487,
      0.449702063647599,
      0.438131110363388,
      0.418410672385276,
      0.39519133059329,
      0.360962924388956,
      0.336282087528118,
      0.328116745968384,
      0.336088919161679,
      0.358015496079823,
      0.387477118802795,
      0.41813330643678,
      0.452467196038121,
      0.465597599013474,
      0.435704903116119,
      0.404867186607649,
      0.389810783590255,
      0.370580303750132,
      0.349318677414245,
      0.349332274958495,
      0.380485570474601,
      0.411943757388489,
      0.404678652594637,
      0.38034541803288,
      0.353243800451191,
      0.292565667555865,
      0.244220519878975,
      0.260411551656706,
      0.299393883658744,
      0.300086592618875,
      0.278275800837724,
      0.28428327890928,
      0.32174006580113,
      0.355399564598659,
      0.362645606614575,
      0.37059813349367,
      0.383643399193269,
      0.36052366055005,
      0.314017643000484,
      0.294711733736203,
      0.324415119832681,
      0.389067155880252,
      0.417135733160802,
      0.383701043732445,
      0.318234827322292,
      0.256440070807829,
      0.229971177040536,
      0.218622473680943,
      0.195149996285038,
      0.159400335122409,
      0.14172538024063,
      0.157435437569264,
      0.20640969153923,
      0.246425054843698,
      0.241821910613562,
      0.216047553255729,
      0.193294311738425,
      0.183017997323632,
      0.220689321552694,
      0.326159815108174,
      0.437551859660649,
      0.463088622877286,
      0.434198496306367,
      0.437669431378424,
      0.460069278174011,
      0.472684935627115,
      0.482602341426917,
      0.527080502218081,
      0.593606404145508,
      0.564236400354004,
      0.464899987466698,
      0.418196443432597,
      0.420244646550339,
      0.444088550371289,
      0.457712273504873,
      0.408129455774103,
      0.329376354191803,
      0.282072325498126,
      0.264380327584027,
      0.25455735463517,
      0.245147102936535,
      0.245271492893802,
      0.252437566757885,
      0.270248876873524,
      0.307738822284859,
      0.367768108601997,
      0.421829908429701,
      0.420584994185638,
      0.399151926918718,
      0.389045453290592,
      0.369424534995849,
      0.343218475269206,
      0.346147912820299,
      0.376491231587295,
      0.417469185520207,
      0.44451177321711,
      0.443434022067585,
      0.422067502868066,
      0.416047093714009,
      0.44028291153388,
      0.451078701803383,
      0.419675218746018,
      0.373587110181027,
      0.346133842935158,
      0.347006984491609,
      0.371459660244392,
      0.398910201042411,
      0.427247864234626,
      0.467877282067115,
      0.502868648052822,
      0.499354349051438,
      0.499099967725495,
      0.533234628257898,
      0.596000445624506,
      0.652219299370538,
      0.616909012400253,
      0.475302508988196,
      0.369290241027715,
      0.351107635910355,
      0.396023114839704,
      0.436937853421815,
      0.433452142411127,
      0.416120715456807,
      0.415109502657842,
      0.43590456507772,
      0.4537055811249,
      0.397772775549443,
      0.314296021472626,
      0.278542434148605,
      0.28763387599219,
      0.329813783061143,
      0.386366665692481,
      0.4397513034029,
      0.465429657499019,
      0.457551165436112,
      0.428102215078355,
      0.400713897398049,
      0.383171636744005,
      0.377894959286375,
      0.379505076186381,
      0.382217136932843,
      0.387365482121212,
      0.376622603937306,
      0.317555617496952,
      0.26084116094171,
      0.247976092682902,
      0.26753692052264,
      0.280697608875791,
      0.26792878387292,
      0.258099912655549,
      0.261349114034977,
      0.282782803857043,
      0.328450918908605,
      0.396919175627555,
      0.425855203806989,
      0.404141129785385,
      0.389602658998156,
      0.375503406982015,
      0.342711017984993,
      0.325410151589273,
      0.333616553573485,
      0.357031098438532,
      0.374111547354152,
      0.376293306186848,
      0.384305682903227,
      0.428744359339593,
      0.470713629418189,
      0.414659029489545,
      0.339068700143276,
      0.311001350644854,
      0.313573578511951,
      0.323099394394775,
      0.344856558404481,
      0.409808248497841,
      0.505433897421279,
      0.54767837676836,
      0.499693720242722,
      0.427530580286714,
      0.382310527832635,
      0.374166970518171,
      0.402321587638761,
      0.442965714317211,
      0.46066013074675,
      0.458623225697133,
      0.447216537257375,
      0.430452727214495,
      0.434730379911489,
      0.454249656164583,
      0.445291777743807,
      0.415808599358602,
      0.409185584161681,
      0.441979389729341,
      0.490304504402065,
      0.473360022403011,
      0.366088078519569,
      0.292615193903439,
      0.278575149452246,
      0.304128767834066,
      0.357734750954206,
      0.424577248500983,
      0.473041020906732,
      0.475105467115865,
      0.447635971224923,
      0.419960011999986,
      0.400684827376159,
      0.38559107339629,
      0.380629461525152,
      0.378311707848235,
      0.381806351709612,
      0.394644324620931,
      0.413491556980557,
      0.431334857503982,
      0.453565795506769,
      0.46092710905041,
      0.433693838380984,
      0.406986897802629,
      0.394083328245646,
      0.379334438408071,
      0.365320492113596,
      0.368060382906469,
      0.394986001478396,
      0.422378029914607,
      0.417419363337951,
      0.398154313723821,
      0.374671656740978,
      0.312267398270633,
      0.259820839768205,
      0.276633813818728,
      0.317964769356535,
      0.310514650836261,
      0.274192092294318,
      0.268847057567656,
      0.300597349027755,
      0.340108860477851,
      0.360021638621019,
      0.375405293494335,
      0.388816595087772,
      0.365318309361878,
      0.317932582204748,
      0.297201055896978,
      0.324600868798839,
      0.379684395395056,
      0.395754725619666,
      0.362816948298864,
      0.311374038999143,
      0.265531246696096,
      0.241564643819326,
      0.227184844154556,
      0.204967704502634,
      0.170612086870743,
      0.154265632873754,
      0.175119166446434,
      0.23135311002859,
      0.270018770529122,
      0.258544057750883,
      0.232944800860819,
      0.215203844457898,
      0.208166762119535,
      0.236092035800489,
      0.336372564146538,
      0.436220913409138,
      0.457371010514413,
      0.435745880173025,
      0.442728245134944,
      0.464774657938413,
      0.477810878065194,
      0.489869863736059,
      0.537939140337471,
      0.60560355018133,
      0.566145247671517,
      0.456940652336448,
      0.413484369160914,
      0.427968573933703,
      0.465436286052005,
      0.484696524041983,
      0.430412875454196,
      0.342702435640732,
      0.287740154785336,
      0.266565116088683,
      0.259062413596136,
      0.253397977138772,
      0.258439921160589,
      0.273985052580875,
      0.303297635884369,
      0.349678092662284,
      0.410282920193465,
      0.459678919006674,
      0.456643051613316,
      0.425591413714898,
      0.391337844861079,
      0.355712004997367,
      0.345460995474096,
      0.388072217471233,
      0.440672917925624,
      0.465236599091799,
      0.468848940734098,
      0.474053697604277,
      0.479542396167844,
      0.484240005213219,
      0.496698593385379,
      0.508730256479543,
      0.488939968362292,
      0.434933251485338,
      0.381198812026837,
      0.357993478904464,
      0.365973697871389,
      0.380746701994082,
      0.400312752765641,
      0.44268379869256,
      0.505768122129548,
      0.525938672760912,
      0.502499115504504,
      0.488603626716054,
      0.512313559668995,
      0.548934716720188,
      0.521163130209674,
      0.427519224990054,
      0.361617681533948,
      0.350375169280858,
      0.384418818276774,
      0.4181902928758,
      0.42188514929319,
      0.417246759759195,
      0.418445005786376,
      0.425512695773923,
      0.431631537346687,
      0.378372990003676,
      0.303673685474023,
      0.28375679223329,
      0.314090589133765,
      0.37051188860747,
      0.430520181723533,
      0.482767005172492,
      0.498837999170449,
      0.462007595191831,
      0.396134549464224,
      0.355871833593805,
      0.363725865882441,
      0.401945146964927,
      0.436019273996943,
      0.449933537506096,
      0.445112699436882,
      0.40666629871569,
      0.317953632674207,
      0.246204174261093,
      0.226010028080836,
      0.242485625635853,
      0.255641882546643,
      0.244681438625136,
      0.238415041588626,
      0.252084714662996,
      0.290388962953328,
      0.351042138513591,
      0.423491001462029,
      0.447914492022506,
      0.419529149537963,
      0.382886175691314,
      0.339428081577839,
      0.297865012023141,
      0.292366992250229,
      0.317502809410717,
      0.344621829472928,
      0.355490698181774,
      0.357339078456255,
      0.377184226646238,
      0.436200095275987,
      0.480815476884988,
      0.417470146350522,
      0.330556577828287,
      0.298913851800099,
      0.31535593592787,
      0.351804914635886,
      0.388946403761421,
      0.445457571538604,
      0.515429616507445,
      0.535632463793742,
      0.491261614982257,
      0.435621929425672,
      0.386293105311988,
      0.361071187892823,
      0.38591548794794,
      0.455128675716403,
      0.514888759798167,
      0.517253630397267,
      0.47302216756222,
      0.431149857518903,
      0.430812075429366,
      0.453112553771496,
      0.447392175109797,
      0.417204886230941,
      0.39843041376211,
      0.406204498368678,
      0.436896166242266,
      0.427309190819788,
      0.337341796654151,
      0.280437918908061,
      0.289149745915434,
      0.340843863682958,
      0.40871283409732,
      0.470861149518463,
      0.501705167719752,
      0.476566295005767,
      0.415990872398321,
      0.368070674837879,
      0.36202278087673,
      0.385505654114754,
      0.410711951224916,
      0.422067719058652,
      0.42747633053287,
      0.431041803545576,
      0.434275854988456,
      0.442888819534874,
      0.470217809781462,
      0.493245016089904,
      0.477722208692273,
      0.443376886693795,
      0.413607721024929,
      0.395082765700052,
      0.392483812028707,
      0.406228775607738,
      0.434860702876124,
      0.461464920076631,
      0.45982115784045,
      0.431027490677867,
      0.384327745725462,
      0.307916176646837,
      0.254089456417889,
      0.274843612607648,
      0.319807138212441,
      0.31007796538591,
      0.26928236659331,
      0.255668610412059,
      0.269265675355594,
      0.28772056995685,
      0.305340890306524,
      0.334309286116279,
      0.365283812791554,
      0.354338368426881,
      0.315867896407678,
      0.302388375751752,
      0.319488081391868,
      0.330542001552818,
      0.306387438573784,
      0.279493934894966,
      0.266320374843847,
      0.261637707097998,
      0.254279137358553,
      0.239807582545945,
      0.216207202602649,
      0.183498048871607,
      0.169171579623741,
      0.190091457091333,
      0.242440904943,
      0.275551661847361,
      0.262408366627096,
      0.239714910572466,
      0.225192692115751,
      0.217976235413157,
      0.269285063342837,
      0.356195901463649,
      0.434642905145434,
      0.451769728163765,
      0.444824733682248,
      0.455463551845285,
      0.47038262617361,
      0.481153110169213,
      0.502171851769403,
      0.562337593624409,
      0.629034290804915,
      0.569485410249291,
      0.445237493697934,
      0.401202676464829,
      0.424393092495969,
      0.474860025906413,
      0.516947872297559,
      0.48639068441596,
      0.393409114072016,
      0.313015464212526,
      0.271205062482425,
      0.265090356182753,
      0.268752688088992,
      0.275335634596653,
      0.286512698725939,
      0.31621032320348,
      0.371279074487575,
      0.440017896081631,
      0.487578554652012,
      0.48022476112441,
      0.448666020435331,
      0.408600583909839,
      0.362363376631974,
      0.346987552704559,
      0.403901181672096,
      0.478646322501896,
      0.514019835294082,
      0.506699654665089,
      0.497542281080655,
      0.513317182834819,
      0.543673720008561,
      0.543645418783018,
      0.49746730598216,
      0.453011474836526,
      0.432855552303176,
      0.429655991788687,
      0.437279761782101,
      0.447178348547304,
      0.451730489929219,
      0.466704431635834,
      0.501733832880401,
      0.550844888923211,
      0.563803981649744,
      0.529592363093908,
      0.484885424328689,
      0.460365645175995,
      0.457297995146605,
      0.443942840540649,
      0.42125531092179,
      0.411625754169643,
      0.411881496460405,
      0.421130012427195,
      0.42512992205751,
      0.419459567532397,
      0.412791706546296,
      0.409314619584771,
      0.423893820596824,
      0.446640747601104,
      0.387809869825863,
      0.299976825916753,
      0.286804043498924,
      0.340341382526114,
      0.400110053729837,
      0.423138516371024,
      0.431336572159763,
      0.43079374737891,
      0.401923765536554,
      0.348358870432736,
      0.321228980064138,
      0.352162768180578,
      0.409592763764048,
      0.448953092247021,
      0.470987286688858,
      0.482887021446657,
      0.454001266763326,
      0.350691867878154,
      0.257135362705498,
      0.219524152655247,
      0.22976465194212,
      0.250962799386853,
      0.248207842449649,
      0.242573190373038,
      0.258013274676554,
      0.305136138173113,
      0.373696894204755,
      0.438454711147364,
      0.445142661058428,
      0.411302329454757,
      0.37472790026164,
      0.325760326327398,
      0.279945855240725,
      0.296559975496979,
      0.369529161042096,
      0.426428865007997,
      0.427277404767122,
      0.413138427318203,
      0.434475683064941,
      0.49812498934982,
      0.52576352875089,
      0.423690089563251,
      0.315777355831347,
      0.304807038199622,
      0.369460505379268,
      0.443106873534191,
      0.476153435744965,
      0.485020225298731,
      0.480941653504257,
      0.463997529861645,
      0.452896884411268,
      0.445905376051409,
      0.426957751700828,
      0.418137220724512,
      0.437080184037255,
      0.489214658438483,
      0.548173631618882,
      0.561751509790822,
      0.524200250717023,
      0.486442176955323,
      0.479103458595373,
      0.479957531321333,
      0.45526802610695,
      0.415329505190791,
      0.386598328458963,
      0.384832613457117,
      0.415699312762443,
      0.414276966459867,
      0.327027972957538,
      0.273683191878104,
      0.300266645020471,
      0.371062384706031,
      0.422088763660648,
      0.440182740617957,
      0.444152823691416,
      0.422310150426554,
      0.371393620932045,
      0.329829469514636,
      0.342411546383169,
      0.398334830195214,
      0.4422425151611,
      0.458152257161336,
      0.469788998495247,
      0.482177124831633,
      0.488800977164488,
      0.493677492915089,
      0.507149399950073,
      0.506833320540068,
      0.482640176650256,
      0.453333328538301,
      0.428442592650638,
      0.411993613981222,
      0.41587170124412,
      0.439081454370455,
      0.468619958316719,
      0.486119725420134,
      0.4811951598521,
      0.455509215743704,
      0.409501165741783,
      0.329907135128977,
      0.268701026741443,
      0.280036528112587,
      0.319730420065616,
      0.314278643950488,
      0.28310636649852,
      0.272968683716575,
      0.276646502204139,
      0.277597572165654,
      0.288557374600263,
      0.319423882921748,
      0.345341207805754,
      0.331183606020519,
      0.300654606017093,
      0.292790334226437,
      0.30308379111161,
      0.297037144359339,
      0.260120988071228,
      0.233322248471873,
      0.234966072557054,
      0.254510183291529,
      0.264758085383493,
      0.256328768083839,
      0.228670966329212,
      0.190010077035886,
      0.176591728368667,
      0.201791545267309,
      0.252974389848717,
      0.279361808801925,
      0.266663960800835,
      0.250062853289902,
      0.238541411780276,
      0.231368382798639,
      0.269938318586359,
      0.355157367509064,
      0.436265910328718,
      0.469774249910223,
      0.481508748376972,
      0.497341619548611,
      0.507903197091067,
      0.517542207665666,
      0.541917353175,
      0.601394336163752,
      0.659709518441974,
      0.59020431598359,
      0.460908745844484,
      0.416001133770763,
      0.442532296966514,
      0.499095711166238,
      0.537673763385637,
      0.487413412801455,
      0.380169560927641,
      0.299150131251502,
      0.264440379517487,
      0.268020242125399,
      0.281482610776878,
      0.293728069502459,
      0.300667256120023,
      0.322380394901571,
      0.380223603494773,
      0.461521162195151,
      0.50582198430944,
      0.47311609710962,
      0.430527059175217,
      0.395123492478873,
      0.349577189040698,
      0.315318645501898,
      0.342230813140407,
      0.413214531673609,
      0.486961069080309,
      0.528442764096112,
      0.537590026750823,
      0.543129488618768,
      0.55584594480473,
      0.53337243865867,
      0.460000339077626,
      0.403610226154651,
      0.390699892812545,
      0.406415512525266,
      0.439444420434639,
      0.483143508897184,
      0.521328140758398,
      0.548521210480915,
      0.560084103574795,
      0.564238489628866,
      0.572129809128195,
      0.555368839743034,
      0.506236823352293,
      0.453586114986424,
      0.425595762131781,
      0.407926274097393,
      0.397214144392848,
      0.405486522101711,
      0.416183954162462,
      0.420020011955717,
      0.415910116608202,
      0.415048333948058,
      0.41058981644946,
      0.398435290989466,
      0.413438209910442,
      0.452150762313238,
      0.404202855985565,
      0.321927548496969,
      0.316571388902108,
      0.374973417757578,
      0.419473227286472,
      0.40908681367884,
      0.390804471546904,
      0.386186637165954,
      0.372375953458876,
      0.340726151780783,
      0.3313036509813,
      0.366767638677347,
      0.412408737908764,
      0.429931130073451,
      0.437322881039681,
      0.453463310739232,
      0.445386790278377,
      0.359157910746721,
      0.268431536065334,
      0.230522531778255,
      0.242535711340397,
      0.267460833564528,
      0.267738766492016,
      0.264241988339205,
      0.279297221571346,
      0.324401140324318,
      0.392562513267826,
      0.454202431744004,
      0.449612477242001,
      0.410712709342469,
      0.382326008523871,
      0.342225925406095,
      0.298201784981587,
      0.308983751873181,
      0.377082239532945,
      0.442993993174679,
      0.458608672930773,
      0.450168516249661,
      0.466045273926757,
      0.524230319332544,
      0.550801753466349,
      0.437228978768928,
      0.317938566390023,
      0.301409985975296,
      0.354191790815949,
      0.412344859918768,
      0.445652586312195,
      0.457044074626965,
      0.43649855995261,
      0.411278528994794,
      0.411506480621707,
      0.416895395192064,
      0.42913954796374,
      0.460068603279408,
      0.483956014831919,
      0.485542694962156,
      0.479283817115646,
      0.478228081175537,
      0.480512033420845,
      0.486183375371727,
      0.493400758684498,
      0.487768900174899,
      0.464870148829803,
      0.438926929039686,
      0.411751087615944,
      0.397407050229768,
      0.424164834410247,
      0.431307728513468,
      0.347368208416509,
      0.297234965803168,
      0.330724528475278,
      0.399693375528897,
      0.426112983048476,
      0.412778772684991,
      0.401472464653237,
      0.387626173227862,
      0.357480208989389,
      0.336775508185285,
      0.358458661031244,
      0.406742550931397,
      0.431403221578998,
      0.42825340524014,
      0.434554532065057,
      0.461631831069681,
      0.498116637067458,
      0.528604719657651,
      0.540941896414857,
      0.512668345813977,
      0.467766305212085,
      0.439659986887452,
      0.422112965824297,
      0.408415103008004,
      0.414828925765012,
      0.450426639406895,
      0.496409577147267,
      0.509556399613882,
      0.47938622793811,
      0.441541919319305,
      0.398849831151058,
      0.323784656725119,
      0.260994355666996,
      0.262548464716639,
      0.298561244248782,
      0.308268836551774,
      0.298796316962273,
      0.303713678960405,
      0.313740083924079,
      0.306397494862654,
      0.299263047271154,
      0.315937699226757,
      0.331638309905803,
      0.316135570026003,
      0.29099935744117,
      0.284855356074315,
      0.291966730930903,
      0.282680210417519,
      0.244323545830482,
      0.216590892142854,
      0.220535482143839,
      0.244779059467256,
      0.264475323345408,
      0.267506485041611,
      0.240656858858617,
      0.195567283816958,
      0.183400082611921,
      0.21718605461147,
      0.270836340331769,
      0.282594156973399,
      0.258667339941804,
      0.243634282245982,
      0.23338988325474,
      0.227990315836249,
      0.228114428722335,
      0.329475801213336,
      0.445161202283434,
      0.519135498949668,
      0.560911535621288,
      0.593490720144048,
      0.60187424721446,
      0.598977589876436,
      0.609039996597369,
      0.649005612152474,
      0.684528030577735,
      0.620041183614745,
      0.523349838646676,
      0.501573608332569,
      0.532367408144701,
      0.574756944103673,
      0.567269088894191,
      0.456670298616464,
      0.331658238730209,
      0.271361952443333,
      0.263921040363424,
      0.276767470831813,
      0.284324215766479,
      0.28768170209099,
      0.2872393226087,
      0.299240466473824,
      0.346691809168265,
      0.426146933989594,
      0.484254483636474,
      0.467379408820861,
      0.429627778752732,
      0.39603714025013,
      0.356102752203773,
      0.318245054684993,
      0.323222570728598,
      0.380861976947968,
      0.460122814992769,
      0.509875966720806,
      0.520284499297435,
      0.519420967087591,
      0.521373706444242,
      0.501875917265607,
      0.446245325737715,
      0.398126848347309,
      0.379993595663299,
      0.386966220585826,
      0.41219246361244,
      0.461852743793866,
      0.527382775696045,
      0.57195761836287,
      0.575358705859178,
      0.561119422802097,
      0.568088027747305,
      0.561781093654097,
      0.519404185501345,
      0.472509352526376,
      0.454201662816402,
      0.428101348168248,
      0.379319748540097,
      0.360319750182607,
      0.370659736647258,
      0.390339149185224,
      0.402339757412535,
      0.404939388771507,
      0.397592889082654,
      0.384832689588561,
      0.400233003014236,
      0.450366087851998,
      0.444492968089805,
      0.397196863618934,
      0.394050046620412,
      0.437509871447457,
      0.474563476529029,
      0.468582977099656,
      0.45407768418475,
      0.452105990398971,
      0.446691599832391,
      0.424989241294095,
      0.410640534831383,
      0.418390117821901,
      0.432261634241051,
      0.438168375759163,
      0.446411185210301,
      0.457863710381973,
      0.438799470114202,
      0.367403975731275,
      0.310128772537048,
      0.303222366805141,
      0.333474783296055,
      0.359681337671959,
      0.349465758900653,
      0.33579066907544,
      0.340375426970434,
      0.367097597258145,
      0.416290223929657,
      0.475494457589652,
      0.492052304687252,
      0.465590704266306,
      0.441768867984875,
      0.413341675274787,
      0.381489646053103,
      0.369133861162647,
      0.374547470516877,
      0.374997935991895,
      0.37049818047503,
      0.377311925937932,
      0.405222504172827,
      0.450406823561448,
      0.479295958114359,
      0.421267529982661,
      0.340372394281389,
      0.314148404687362,
      0.333749453834459,
      0.365531450183663,
      0.390814176091401,
      0.40637829778998,
      0.40371183011547,
      0.405098067057404,
      0.416668847164298,
      0.417857999907805,
      0.418359423267282,
      0.434586878300445,
      0.447258796397733,
      0.442236804561302,
      0.43736506878235,
      0.452764260819162,
      0.462160195767525,
      0.455968866913065,
      0.459821378800909,
      0.470483084415372,
      0.469560610361893,
      0.459282849732855,
      0.444031364819706,
      0.434485791444655,
      0.458842289414414,
      0.475554811839564,
      0.417042565923835,
      0.375992060472591,
      0.400750055031504,
      0.457471286986963,
      0.48243224396638,
      0.473189320202659,
      0.463484981103008,
      0.453444777890235,
      0.435142103402995,
      0.422705648988348,
      0.429723367546432,
      0.444006626314846,
      0.445526594597724,
      0.436572624913794,
      0.440209412307929,
      0.461871042007843,
      0.490996832014009,
      0.514733397217202,
      0.527177173812488,
      0.511824756437866,
      0.473371922590082,
      0.43912827623806,
      0.412698895930402,
      0.393015221938391,
      0.389137778019711,
      0.413095785801173,
      0.459843517175448,
      0.488533750524663,
      0.469581342463738,
      0.43256488340265,
      0.386334947685132,
      0.312623103940236,
      0.260706563153859,
      0.27484014544399,
      0.324754476051238,
      0.348875979041078,
      0.341485398770766,
      0.344412157427586,
      0.364816104399879,
      0.368888636248916,
      0.351522459141728,
      0.352552334592099,
      0.370037724224614,
      0.368918711582646,
      0.35329972922399,
      0.346265070050933,
      0.348869521971393,
      0.341102982853786,
      0.308213687405524,
      0.275418734947315,
      0.258491151111715,
      0.251711915250376,
      0.252356013097602,
      0.253691256804517,
      0.230919100252935,
      0.18901826196023,
      0.177887211591045,
      0.214839582503909,
      0.275203343223727,
      0.288608114905921,
      0.258019006746862,
      0.235240559793305,
      0.217482008937416,
      0.205737968346204,
      0.193366781020392,
      0.320824834088489,
      0.480929374474285,
      0.5866933349606,
      0.63678602919671,
      0.673706161803987,
      0.679513758643964,
      0.665906761346527,
      0.659033730922705,
      0.671517113175158,
      0.680462427735004,
      0.643361986618193,
      0.609934913226421,
      0.620781104747889,
      0.645107755409128,
      0.654767399438689,
      0.605823236706489,
      0.464299801790435,
      0.334417260186168,
      0.285420752841203,
      0.287515088938205,
      0.295285954577851,
      0.288685178337986,
      0.28427293184192,
      0.284676569600043,
      0.293271082165057,
      0.326930297018683,
      0.396537577975437,
      0.467296653118862,
      0.473234229844281,
      0.446470020872134,
      0.420554819444108,
      0.395604329251347,
      0.37863851474642,
      0.398085740230441,
      0.463292109539503,
      0.536242902175703,
      0.548105991376214,
      0.508480648337638,
      0.47893746072771,
      0.48538811954512,
      0.512546307849968,
      0.529657976009791,
      0.524960014895456,
      0.504490396566154,
      0.492299321414712,
      0.501899603714428,
      0.540244652255186,
      0.597274665193023,
      0.636373172326567,
      0.643979609035626,
      0.630941476954239,
      0.625602430455575,
      0.623568764843609,
      0.606458017626347,
      0.584257324948375,
      0.577918339168028,
      0.568946209740589,
      0.517939303154565,
      0.455104890460926,
      0.411177531119743,
      0.399118240989605,
      0.416565568390169,
      0.4294392259878,
      0.420490355720777,
      0.408259314459951,
      0.42630172761856,
      0.493136063198595,
      0.539604954014655,
      0.536225163857524,
      0.541151871125197,
      0.575617460360515,
      0.615041273654245,
      0.622910633867605,
      0.61464799174935,
      0.611405794347316,
      0.617172353915804,
      0.61790715693521,
      0.605111828709453,
      0.588161339022711,
      0.577550619296422,
      0.569624349459059,
      0.561333233799227,
      0.547481385290924,
      0.502235504011145,
      0.426303424500403,
      0.384321691236789,
      0.394446722064976,
      0.43214225269862,
      0.455347831170401,
      0.439277448950828,
      0.421668094906298,
      0.415571606956618,
      0.419020115018677,
      0.443591562660395,
      0.501042649967087,
      0.548183593563281,
      0.541275069847249,
      0.521701897955995,
      0.51265097265038,
      0.512653645991843,
      0.506629813232472,
      0.492744173341599,
      0.477879786480065,
      0.481670099884719,
      0.50439771566485,
      0.52815422827519,
      0.535321179041744,
      0.546266143378647,
      0.552682783391239,
      0.529167504706416,
      0.505991371231595,
      0.50460336870551,
      0.513094354658162,
      0.510341060866978,
      0.496475022633227,
      0.486164472434385,
      0.508319742362598,
      0.555274959116433,
      0.583604036221205,
      0.575804073636251,
      0.554698385472677,
      0.524542397066931,
      0.491076475692944,
      0.485067400103758,
      0.521535394110259,
      0.531620116616664,
      0.496767654192781,
      0.476092530832676,
      0.483300467674912,
      0.482999849176069,
      0.466683994187561,
      0.457414692874602,
      0.475790579196873,
      0.539235272410623,
      0.597739933942378,
      0.574453608076749,
      0.536761922812062,
      0.544955448360254,
      0.593396782335004,
      0.632457153699157,
      0.636872954925494,
      0.627883034280364,
      0.618351446000246,
      0.613177210161561,
      0.614627931320791,
      0.61740134611375,
      0.609936145138634,
      0.590455480558102,
      0.565750684908018,
      0.549373317438911,
      0.541199036422088,
      0.529074988803337,
      0.511824622677391,
      0.510395053608396,
      0.514549621249137,
      0.489946865265661,
      0.451088345933785,
      0.419311168797419,
      0.398502951842903,
      0.389725194651324,
      0.40071190743202,
      0.43770963306684,
      0.471990295744687,
      0.466760575507028,
      0.439651390198404,
      0.399879313929285,
      0.333819977977104,
      0.3075001058058,
      0.37275373666321,
      0.489088915526216,
      0.569625232749081,
      0.57825347670923,
      0.564904575719989,
      0.559848420493583,
      0.552309079261535,
      0.537371090567636,
      0.542161971336255,
      0.572927337381863,
      0.599823058476944,
      0.603225819191103,
      0.590406426531638,
      0.565103041638653,
      0.522475886465777,
      0.469988580720247,
      0.419091329505731,
      0.362217503792459,
      0.303546136278836,
      0.27338153200989,
      0.26765351261651,
      0.249118842094845,
      0.217466799369931,
      0.212512632213576,
      0.246739568754381,
      0.297235274842983,
      0.300620380804692,
      0.267097165255569,
      0.244071489373872,
      0.227301050735238,
      0.219754083223353,
      0.182577949512378,
      0.332264756025884,
      0.525892447828396,
      0.639530901322782,
      0.655330191927571,
      0.664006003368796,
      0.67273355875019,
      0.672153433705901,
      0.65725710227247,
      0.638819912872472,
      0.629779317537003,
      0.624986861532822,
      0.630804647317723,
      0.648996894567398,
      0.660480458989256,
      0.654483279738546,
      0.604539284270467,
      0.477483840278579,
      0.363526755003233,
      0.32071858824437,
      0.317062280156779,
      0.310771688936491,
      0.291506628679777,
      0.280842242802919,
      0.281728667073694,
      0.295537281428043,
      0.332442519006349,
      0.402673972162269,
      0.477639621118267,
      0.491287574057371,
      0.465847981484059,
      0.43799097590008,
      0.417391378081863,
      0.422838737525316,
      0.46841300701644,
      0.544506115020585,
      0.608251732967539,
      0.596018695811288,
      0.533941581179881,
      0.491600500402797,
      0.497651017070992,
      0.548750149361685,
      0.616509349887009,
      0.655757045944528,
      0.658097020063305,
      0.653365565620649,
      0.653164767710682,
      0.653194214384105,
      0.656606503008102,
      0.671979780412372,
      0.693637728675802,
      0.696931048723526,
      0.682234529963132,
      0.674152899691605,
      0.66632366307945,
      0.652239557267786,
      0.643170413265838,
      0.6397006460126,
      0.584497781821869,
      0.495445252947407,
      0.43568301529264,
      0.437554747148843,
      0.469343111884147,
      0.463886192294639,
      0.435218617268121,
      0.425244201921541,
      0.451730945401768,
      0.528591742899884,
      0.595552161684151,
      0.608057167798028,
      0.615106084809515,
      0.647981048887922,
      0.687127582032717,
      0.694796081145395,
      0.686004994131708,
      0.680321841702396,
      0.684873752093679,
      0.699112859834244,
      0.71585031599258,
      0.716791482951258,
      0.695699503663469,
      0.660238888226545,
      0.622854921939378,
      0.581112396019695,
      0.514462041608246,
      0.424773728675772,
      0.379712214066692,
      0.392715251979442,
      0.433122570715528,
      0.448691994567658,
      0.422388699437137,
      0.406774157664785,
      0.406133087941449,
      0.410292744865064,
      0.435281688222824,
      0.506324453198493,
      0.568171897828023,
      0.564527385954246,
      0.546998705700322,
      0.550850042611837,
      0.56926975066532,
      0.585152160238559,
      0.597622797556528,
      0.606341727537072,
      0.61788837818848,
      0.639940946102859,
      0.66071859401245,
      0.651778573580816,
      0.640459076613934,
      0.667417703921289,
      0.682921386318299,
      0.676587965803822,
      0.671261661618832,
      0.660918663405983,
      0.631659143946373,
      0.589949437535811,
      0.558924319818854,
      0.569859415257871,
      0.630561953688981,
      0.6896218303671,
      0.699529025707895,
      0.671366285939541,
      0.617477871761117,
      0.557096996720968,
      0.536837228663087,
      0.567900075352474,
      0.56168907850649,
      0.513346774822826,
      0.496420620653862,
      0.511586433385215,
      0.503559024561487,
      0.471628127453581,
      0.458151518765504,
      0.487366153598441,
      0.566091070456465,
      0.636939340453425,
      0.634712619591434,
      0.621062542970387,
      0.641234446792395,
      0.684290022043389,
      0.712714062319356,
      0.71480994506238,
      0.701288312477436,
      0.68673414321695,
      0.692938800588673,
      0.716062493855869,
      0.725382984025014,
      0.710812514026709,
      0.67881496663833,
      0.632198715104412,
      0.591510550646609,
      0.567170815903849,
      0.547548326674054,
      0.528135259652195,
      0.534269700601867,
      0.546153691153988,
      0.517403271987696,
      0.467056506406861,
      0.425447725738353,
      0.402623768960953,
      0.398479779845648,
      0.412864619876139,
      0.450832498909398,
      0.48670087067419,
      0.483056599004495,
      0.454540806434454,
      0.412563660829001,
      0.354484585290748,
      0.359233092005313,
      0.465381501313064,
      0.614144566554821,
      0.720398976127006,
      0.749275604560487,
      0.738947534078116,
      0.706985303788726,
      0.66054450348254,
      0.639617195513687,
      0.668416422134192,
      0.716200854581264,
      0.732396231209043,
      0.724511095487565,
      0.712092353984911,
      0.683840442952645,
      0.621206356674316,
      0.537492195373252,
      0.458233592175288,
      0.377806406006488,
      0.312158414378205,
      0.288974016774532,
      0.287094544375427,
      0.268535707097084,
      0.239941722038452,
      0.237812803870237,
      0.267312302957468,
      0.305312679451634,
      0.303133466718496,
      0.276531110291648,
      0.258372255837011,
      0.242549372462095,
      0.242185630087945,
      0.203149773578878,
      0.343009048775133,
      0.513625174256611,
      0.60399540878124,
      0.601428062763249,
      0.595039559448208,
      0.60324011364746,
      0.613155344761252,
      0.605703951403591,
      0.589777050268148,
      0.586800817491051,
      0.584602188409588,
      0.578193358308916,
      0.583923335617154,
      0.599056160501552,
      0.612716545233682,
      0.576491383074218,
      0.449510154685223,
      0.338461408998252,
      0.298665866229709,
      0.296958426044965,
      0.297906263264657,
      0.28965722023868,
      0.282838358849138,
      0.280854298037483,
      0.295732038611631,
      0.339066925683668,
      0.410743101428401,
      0.475457426313044,
      0.478544489122598,
      0.448517023235039,
      0.41535989672896,
      0.382457654600986,
      0.375408157136281,
      0.414713773372081,
      0.475388926459041,
      0.521667693860103,
      0.520399317470145,
      0.492645444445027,
      0.47374366775458,
      0.482285687444645,
      0.510361672913046,
      0.532168751724095,
      0.526757387716578,
      0.502780989549314,
      0.497733430295629,
      0.525066959556019,
      0.563982061238061,
      0.580368224486284,
      0.589949091558346,
      0.612716346767763,
      0.619491583775607,
      0.601607072701936,
      0.581100885607708,
      0.55896756023125,
      0.53932678755465,
      0.529210459984176,
      0.505430020508778,
      0.445148260105337,
      0.39779895700116,
      0.396655488414898,
      0.440942271752108,
      0.48058214052786,
      0.469174919788425,
      0.435026036993079,
      0.417356049532828,
      0.430924000474604,
      0.472269562855759,
      0.490456734349114,
      0.486021357830802,
      0.497452952846535,
      0.530204149692316,
      0.555157415947696,
      0.551680344184668,
      0.545552182551415,
      0.546783471063086,
      0.54919323672288,
      0.551124596551116,
      0.554575006157227,
      0.556205932468421,
      0.560815692638082,
      0.557592032927624,
      0.541744916254785,
      0.520683345338669,
      0.477712014949797,
      0.395484387765903,
      0.341735167753882,
      0.342838518170658,
      0.376801684969796,
      0.39776089771527,
      0.378286332858233,
      0.35653191918097,
      0.350526774120623,
      0.367515888780838,
      0.412729733158457,
      0.484606697309952,
      0.523484980379515,
      0.511864014478913,
      0.49664366207965,
      0.481840924700069,
      0.461491097947217,
      0.450457866049375,
      0.444445021638397,
      0.431161502462894,
      0.423898428472288,
      0.443234693720249,
      0.492920373787848,
      0.547376039648086,
      0.564808632073617,
      0.523294903567573,
      0.479551591144712,
      0.46993016748407,
      0.475693364508451,
      0.465393039114789,
      0.446420934064425,
      0.449646173279539,
      0.478205640516105,
      0.509612654799853,
      0.532119911133224,
      0.53432399076613,
      0.51633820286671,
      0.499709639070852,
      0.488278016649201,
      0.477282947803309,
      0.473031593175566,
      0.490242402699912,
      0.500573741884256,
      0.498110846266113,
      0.518401201533295,
      0.548092813730465,
      0.530019658191019,
      0.474901280928092,
      0.441168661418896,
      0.459634085424855,
      0.524165985168141,
      0.556563773468434,
      0.511941515665872,
      0.478770806921199,
      0.49553289810342,
      0.541467153060625,
      0.569026606890648,
      0.568828575308104,
      0.559102372669484,
      0.544546188737772,
      0.537642547967906,
      0.554359407737159,
      0.576809924701451,
      0.581213455154234,
      0.566327022546671,
      0.538525766677743,
      0.518016913616413,
      0.515194730926492,
      0.518615513550522,
      0.516199793812884,
      0.519833809456958,
      0.515025870221128,
      0.482775825585975,
      0.440793878615133,
      0.405315842645578,
      0.38547680595263,
      0.386823320775644,
      0.409928337825779,
      0.450772103825774,
      0.47987277111127,
      0.468973131202814,
      0.436743411941541,
      0.390023575678598,
      0.320208064814884,
      0.292257803906087,
      0.343502301678914,
      0.426902475593263,
      0.480481173057799,
      0.492571368107166,
      0.494990550975531,
      0.499303315771872,
      0.49897879860284,
      0.492992067159244,
      0.496970697184332,
      0.511479832793139,
      0.509403877379629,
      0.495750356990656,
      0.490759344325585,
      0.48539827783412,
      0.460581868228045,
      0.422104955471049,
      0.382499854481428,
      0.331678212189055,
      0.286371243225185,
      0.273260438208627,
      0.268641668953406,
      0.244305849976948,
      0.214299381777194,
      0.214124504708897,
      0.246165394672031,
      0.28637297257318,
      0.287549269549081,
      0.263866582652216,
      0.245231509311767,
      0.226503582314687,
      0.218796127187384,
      0.274966900221681,
      0.382512440696807,
      0.485322998416891,
      0.519224519703184,
      0.509363521319193,
      0.510048738813712,
      0.52188738980232,
      0.535816456924399,
      0.544143442900244,
      0.559645498208952,
      0.579754442533851,
      0.55274999576126,
      0.50112010122943,
      0.486052209529499,
      0.511901033091413,
      0.556596671020902,
      0.54426257502078,
      0.421492015153363,
      0.30737868161817,
      0.263608488688629,
      0.262122088862131,
      0.271596344859998,
      0.275747085508233,
      0.277841187348169,
      0.283496498300926,
      0.310052542189905,
      0.36517352666458,
      0.435997867241521,
      0.478954065367762,
      0.461131358373941,
      0.424065811545051,
      0.38542598381952,
      0.336925832706645,
      0.30473454449574,
      0.330813694924736,
      0.394318578129265,
      0.456788190702537,
      0.487724062972885,
      0.48913574795578,
      0.474816316079325,
      0.463929820104732,
      0.456764397157975,
      0.430312456464572,
      0.392128251393382,
      0.369172148239234,
      0.384668510710781,
      0.43578908980745,
      0.493560712181243,
      0.517260109731324,
      0.525975348479338,
      0.549893423512202,
      0.562689724019482,
      0.545807494735383,
      0.510949164063581,
      0.471074741046632,
      0.446060804624345,
      0.438278626632446,
      0.413720820916877,
      0.376986914130204,
      0.365570950944929,
      0.38230217524741,
      0.425431180751755,
      0.469579826017683,
      0.475865927553867,
      0.446882793068551,
      0.420693247059239,
      0.429775316547012,
      0.455150246729683,
      0.418699785658794,
      0.3655081712144,
      0.358819741418475,
      0.396793496689933,
      0.435473369812511,
      0.432269752750972,
      0.414319191614437,
      0.408624514612818,
      0.405141566207071,
      0.393355442921067,
      0.392706545048502,
      0.414361291415423,
      0.443662694560408,
      0.450645426201858,
      0.44408275987057,
      0.453539266660054,
      0.448269315998545,
      0.363038809900913,
      0.278774237583182,
      0.256298492587116,
      0.280717975047427,
      0.304491027856869,
      0.296915885346834,
      0.28496484378353,
      0.293486566312375,
      0.331174730364188,
      0.391451073879667,
      0.45416171928595,
      0.465332326028991,
      0.437140382475578,
      0.408871035399119,
      0.367377977806632,
      0.318580049783384,
      0.309884260764386,
      0.33771635811997,
      0.353862107058496,
      0.339724089070024,
      0.332430809173779,
      0.374586380319526,
      0.472133498983462,
      0.534766736167936,
      0.460715540787678,
      0.366076979276113,
      0.327875224221933,
      0.318826328667403,
      0.314148992801659,
      0.33069744783981,
      0.382002459733933,
      0.442796938588904,
      0.472049328588493,
      0.460074862961633,
      0.42930991827652,
      0.402172824847886,
      0.401849556794036,
      0.425434750935883,
      0.450041087263816,
      0.455930978819044,
      0.458468216467169,
      0.463181550497738,
      0.464558778103335,
      0.485157724458497,
      0.517926197928423,
      0.513370117014673,
      0.466495131150578,
      0.423295816815984,
      0.418559189382795,
      0.457097714129069,
      0.463767921886674,
      0.397810800431699,
      0.355184232384368,
      0.369956883213317,
      0.41839213060914,
      0.444808723527239,
      0.43713319278232,
      0.424635738189769,
      0.413061604101751,
      0.396818210832623,
      0.393493627419801,
      0.412978970170863,
      0.4421402561715,
      0.452193057960443,
      0.435067556750739,
      0.432098463116312,
      0.474183810716043,
      0.53087375068112,
      0.542470162643198,
      0.512911549393957,
      0.480114754269592,
      0.451515508455069,
      0.422444531426602,
      0.394912199566134,
      0.378223591891976,
      0.388685034009689,
      0.42635379141855,
      0.473019587269752,
      0.491653753661355,
      0.467929433486816,
      0.429298696187922,
      0.379429262831796,
      0.298758466533613,
      0.239630798539865,
      0.257593758805751,
      0.314586714149836,
      0.331947405746845,
      0.312143598989328,
      0.307532723291701,
      0.328376170165589,
      0.346842624969477,
      0.345244660946203,
      0.347443408154956,
      0.364861199698164,
      0.362363974944767,
      0.328585951039809,
      0.303379837117599,
      0.302858516655665,
      0.310241385508321,
      0.297620583485746,
      0.274749230192063,
      0.258199654566107,
      0.255790988990235,
      0.262109621890002,
      0.256455733009882,
      0.223942245546479,
      0.182846416960452,
      0.175741616231974,
      0.206987921254115,
      0.254187426754318,
      0.269686428375199,
      0.255857918993095,
      0.236869682069995,
      0.212388311586722,
      0.198608368274935,
      0.347322563632344,
      0.431764033067159,
      0.483016340628932,
      0.466817455346132,
      0.444969380697142,
      0.45167352615223,
      0.466392222488866,
      0.478986504483737,
      0.49896102829893,
      0.549329191503361,
      0.600124680758468,
      0.553321811951469,
      0.460963688346741,
      0.426289355993408,
      0.447861062192692,
      0.496883352963505,
      0.500034358071826,
      0.398642183227217,
      0.296538389138604,
      0.256869527561404,
      0.260614161494985,
      0.276266258702271,
      0.286443543884735,
      0.295927819708034,
      0.31785854441203,
      0.363043462954824,
      0.418001946893575,
      0.463458776476833,
      0.477436033052281,
      0.456905925857966,
      0.424035040773682,
      0.387078418367969,
      0.336052876391541,
      0.299495881816464,
      0.335320547365215,
      0.418780687945404,
      0.495707565890707,
      0.522961049450127,
      0.507673916320184,
      0.482683198808187,
      0.470564490934366,
      0.455472535359813,
      0.416197080379937,
      0.386685383225003,
      0.383044156836322,
      0.400397702814036,
      0.433056382085182,
      0.466341379153251,
      0.472657904412759,
      0.475433121790693,
      0.501442734365761,
      0.522475353420801,
      0.512707593609226,
      0.488070059402864,
      0.462900414313616,
      0.448189168138057,
      0.442115303979401,
      0.412986368191847,
      0.372967430606275,
      0.360495693653904,
      0.369608147106367,
      0.393164171255597,
      0.425602783492089,
      0.448612278995201,
      0.444955744355714,
      0.436373142254021,
      0.457750290340838,
      0.478340195030307,
      0.412105723564705,
      0.334506366084564,
      0.317222509769707,
      0.350260851587065,
      0.394836196881494,
      0.406812960332915,
      0.398650597989262,
      0.396683874534405,
      0.390110995547151,
      0.358773574373036,
      0.333986706550237,
      0.362758707894757,
      0.427695264543515,
      0.460872500547561,
      0.461863482469504,
      0.480821678918265,
      0.488904294435246,
      0.389903006463651,
      0.2748838132452,
      0.231459996635651,
      0.24762430190208,
      0.269311777695499,
      0.268385315171159,
      0.271733377245739,
      0.303787937581308,
      0.358886580253182,
      0.414848039305027,
      0.451066551371818,
      0.441721110122469,
      0.410602579710143,
      0.376900182336639,
      0.324253342645747,
      0.265371931299227,
      0.273581289930953,
      0.35496599869439,
      0.424170132064935,
      0.422659139118273,
      0.398657775621557,
      0.417239753400167,
      0.499598521919362,
      0.55989314800602,
      0.467187477633005,
      0.343863030510916,
      0.298004260748742,
      0.317718815232383,
      0.363449006244157,
      0.407209049322099,
      0.44430108417465,
      0.472672486169634,
      0.481974234697324,
      0.452667247373272,
      0.40874757746752,
      0.387144442457328,
      0.41017981214105,
      0.459964586326132,
      0.49996464256518,
      0.500491464194808,
      0.487602477897676,
      0.49063201907526,
      0.485266217184439,
      0.479661211681623,
      0.484643601233853,
      0.480618177124675,
      0.454269954112499,
      0.426291513308576,
      0.424543293878184,
      0.45333472266567,
      0.44123849741525,
      0.357527335598813,
      0.306601674071089,
      0.318924897054109,
      0.373770925874409,
      0.415847511043138,
      0.417051976142385,
      0.405410141973621,
      0.3958686662704,
      0.374473335126692,
      0.348452527950923,
      0.353176002373387,
      0.402960484543266,
      0.444924055832197,
      0.445705562409969,
      0.451746844256194,
      0.505790688138066,
      0.569940462034163,
      0.566699377897784,
      0.51105847452379,
      0.473282244472523,
      0.45240617214326,
      0.427905548443119,
      0.409149999019873,
      0.404690986865642,
      0.420918053849297,
      0.44902101060386,
      0.475053270753911,
      0.48257095455776,
      0.467250352205737,
      0.437260635108279,
      0.392430401665717,
      0.309559440447204,
      0.241924684288258,
      0.25854701234525,
      0.317269728948774,
      0.319304725570817,
      0.279593820870462,
      0.26773916886838,
      0.286456073824595,
      0.297929969879699,
      0.298428727266472,
      0.316838519565375,
      0.347512941514205,
      0.338915916090095,
      0.286480246170265,
      0.251074410646487,
      0.258254172372683,
      0.277533482730602,
      0.257025596878778,
      0.228182233240617,
      0.228963443628627,
      0.252197538478955,
      0.266642930763063,
      0.260024003766663,
      0.229393123667721,
      0.193991866717891,
      0.189938865143402,
      0.21753267601905,
      0.256225309373507,
      0.268675358630773,
      0.26045563275942,
      0.247385940110038,
      0.226269660865517,
      0.213275154379568,
      0.345371004910448,
      0.42700711267951,
      0.471637464475939,
      0.447785550272467,
      0.427147760568356,
      0.440217975105164,
      0.45541787350987,
      0.463133733055628,
      0.484400997380998,
      0.547748343458375,
      0.609625423067367,
      0.557887991199484,
      0.457669115771957,
      0.420943407204843,
      0.434897900593592,
      0.468513128441154,
      0.467758722750077,
      0.384891826513299,
      0.299395047811231,
      0.26550606182626,
      0.265007076745578,
      0.268021495661645,
      0.269703639692265,
      0.280154329227625,
      0.307494365558605,
      0.356958673297038,
      0.412561505306032,
      0.456134230088675,
      0.472172881900888,
      0.456174700348288,
      0.422519026647847,
      0.383740429201605,
      0.340720542916325,
      0.317016975247937,
      0.356024087735058,
      0.427835130385516,
      0.474817366276188,
      0.47757793664884,
      0.47248250242206,
      0.48452944077409,
      0.504556666701099,
      0.494818457113771,
      0.4446618058053,
      0.410994559840628,
      0.409635079986632,
      0.414745576756851,
      0.415900349853506,
      0.417311390727363,
      0.409042908494607,
      0.408296981461688,
      0.437031611611917,
      0.471999212237103,
      0.485307259063819,
      0.489369873879979,
      0.495137321049668,
      0.502316329253379,
      0.502869315391284,
      0.454510579367822,
      0.378087204727246,
      0.347061717382796,
      0.355192026556849,
      0.378444709305775,
      0.404457443747774,
      0.428235989851003,
      0.435547662704705,
      0.433249812246586,
      0.448263606204923,
      0.464010376237919,
      0.403753372757053,
      0.323825929727146,
      0.295478131505872,
      0.316049248310385,
      0.365812981088113,
      0.408351806855798,
      0.437896878455676,
      0.463620437356992,
      0.461769057449747,
      0.404463448649428,
      0.339373063470067,
      0.342158324596342,
      0.403406979116025,
      0.45617922497915,
      0.478787501528028,
      0.489971053461363,
      0.466455465789413,
      0.362148424816056,
      0.264828214013459,
      0.231514343255222,
      0.248120979624376,
      0.26791941430439,
      0.264094537009385,
      0.266724703443381,
      0.304413685565661,
      0.366970037625195,
      0.42289966285923,
      0.4516130993127,
      0.438918654504925,
      0.405449384080189,
      0.365796231092546,
      0.314628040278202,
      0.265268937269058,
      0.268436618718467,
      0.324186728705489,
      0.378563802303359,
      0.394136454988899,
      0.392371246350015,
      0.407823178326348,
      0.46060721103362,
      0.509258682902209,
      0.431176775231014,
      0.30322901370244,
      0.244642584570597,
      0.269973257647484,
      0.337550562181087,
      0.388280887790939,
      0.418921491049219,
      0.453672047478366,
      0.477098866095474,
      0.444782482044653,
      0.398340279826536,
      0.390461196141873,
      0.422474705979627,
      0.472531887664387,
      0.521315658955236,
      0.539393179231985,
      0.51585472352661,
      0.482650159913084,
      0.456773906714445,
      0.449368694764901,
      0.452407619999766,
      0.451216566967738,
      0.440571441652407,
      0.427069685137025,
      0.424563466897193,
      0.44140880127306,
      0.426206194656776,
      0.344294064716342,
      0.288829208205928,
      0.289279749742999,
      0.333352333237223,
      0.388692212351838,
      0.427981660223592,
      0.458643341660703,
      0.4716922001564,
      0.438778121075866,
      0.372662882838637,
      0.340352684124486,
      0.378346548803738,
      0.435885780606937,
      0.463861587884627,
      0.478837272467864,
      0.511644186698957,
      0.547864928823809,
      0.544510959797497,
      0.510215727454438,
      0.486512661946196,
      0.462929319037302,
      0.43166036592066,
      0.410303427604549,
      0.402984855568447,
      0.411505352030183,
      0.429565446592356,
      0.451380114432805,
      0.466544341269428,
      0.461601870779108,
      0.431776883865326,
      0.38122056608551,
      0.307085889343808,
      0.263753675336448,
      0.291443285190793,
      0.334523836216201,
      0.314748024284381,
      0.266777980078887,
      0.252305433849165,
      0.265502518915103,
      0.273318109665492,
      0.282537252056507,
      0.317423347525708,
      0.358681342005436,
      0.348295399552728,
      0.29510994157554,
      0.266184298381642,
      0.280427898578248,
      0.29778788704472,
      0.266013477484641,
      0.230855278192749,
      0.22999500860145,
      0.244533722296878,
      0.244431194201075,
      0.231255272758912,
      0.208242941951175,
      0.182192817471541,
      0.177079145893802,
      0.199662946408379,
      0.24128765824918,
      0.26255223236031,
      0.251998507114995,
      0.234660587467552,
      0.218446548902828,
      0.208750404695652,
      0.296159584383276,
      0.384171280519543,
      0.446217483481443,
      0.441504275670215,
      0.428030807879841,
      0.440890137721465,
      0.455099690998718,
      0.464847783985388,
      0.486098312397254,
      0.541393799081472,
      0.595054131272902,
      0.553974319607964,
      0.469564590952082,
      0.436457556947012,
      0.440774546884917,
      0.456333465651892,
      0.446309726449339,
      0.374031754054393,
      0.299526664101971,
      0.26896032583792,
      0.264678451337737,
      0.258960342850016,
      0.253221028822779,
      0.260437329326905,
      0.281382682589047,
      0.319574678575709,
      0.370678099533393,
      0.420949958461503,
      0.445507920875723,
      0.430024600893234,
      0.398563195930958,
      0.368765608909858,
      0.344516248708237,
      0.333008392625904,
      0.353194348801901,
      0.392581584628818,
      0.415897563799566,
      0.416366771476345,
      0.426354233373106,
      0.4557562839936,
      0.490790060142432,
      0.497677759967557,
      0.455317849924271,
      0.408965842860483,
      0.384565589701871,
      0.367833672459724,
      0.354806496422821,
      0.362601199383346,
      0.383732818686826,
      0.403124345685818,
      0.433263182382977,
      0.454034359519626,
      0.452931945842442,
      0.46775194063448,
      0.514079849995506,
      0.570065741501739,
      0.595595320647965,
      0.538317363258605,
      0.430827245806211,
      0.371116306025174,
      0.363308894867424,
      0.382721987423631,
      0.412516845519558,
      0.437428769471238,
      0.437621468921785,
      0.418210544895138,
      0.414888619776122,
      0.434458287527048,
      0.396486315519569,
      0.327381770012602,
      0.295140242630997,
      0.297510316709918,
      0.325767761064339,
      0.374114987472333,
      0.4391711668624,
      0.499113298254301,
      0.510269111000834,
      0.452259493652673,
      0.377395255504475,
      0.347014236783569,
      0.36267696457869,
      0.394480016293644,
      0.418748226338541,
      0.429846133506491,
      0.40571544793427,
      0.326574981681148,
      0.260395031711013,
      0.243307620061892,
      0.259192445766223,
      0.270256127572033,
      0.26296352477357,
      0.264583653645097,
      0.291732249593567,
      0.339177437297846,
      0.389936124046301,
      0.426928965797555,
      0.423180546865273,
      0.393920956586407,
      0.368171912421317,
      0.343111722697766,
      0.31681054591166,
      0.310199763071202,
      0.321156239441231,
      0.332159802159024,
      0.338922701966075,
      0.345914348024775,
      0.362220144758081,
      0.402583399377728,
      0.447849417624226,
      0.398088707578353,
      0.298205020245035,
      0.247612336262072,
      0.257222392019417,
      0.29696762245784,
      0.331815211754061,
      0.370992792561092,
      0.429863754545081,
      0.470047070582308,
      0.437169012159647,
      0.383540716155279,
      0.367693088915743,
      0.383052576925421,
      0.41679783893043,
      0.460398396720605,
      0.483043260486418,
      0.467178632594403,
      0.436928491569312,
      0.407125381711013,
      0.400307913197685,
      0.416515171412974,
      0.431167597850061,
      0.426239387432485,
      0.411010588338769,
      0.408979554134881,
      0.437317365554694,
      0.43988658987051,
      0.366706856201513,
      0.306680563684105,
      0.289576139400374,
      0.305494195387394,
      0.350093906661242,
      0.413874236957948,
      0.479178099288158,
      0.50721442242002,
      0.475192804964316,
      0.409121502262304,
      0.362929019498686,
      0.358654009286596,
      0.38185694294829,
      0.405729707664072,
      0.423963122510309,
      0.44684752269364,
      0.473673785038726,
      0.488967153036886,
      0.486127877729374,
      0.471499195404542,
      0.437762052473946,
      0.403835151789044,
      0.387251305408382,
      0.380968345229667,
      0.383598920462471,
      0.39807482684379,
      0.423100757149113,
      0.439353495510562,
      0.429795287767741,
      0.399914562046353,
      0.357339085749913,
      0.302136790967228,
      0.278529346382099,
      0.30483745146986,
      0.32826713109338,
      0.299501342446189,
      0.260109848563811,
      0.257339576965754,
      0.278757225626942,
      0.290019396587826,
      0.300723816141136,
      0.33859720868114,
      0.376200952925843,
      0.354532850332126,
      0.299715185942939,
      0.2778501462099,
      0.30258922881804,
      0.334577582822488,
      0.312560937810684,
      0.272862976485311,
      0.256117235512196,
      0.24928639848795,
      0.235156437074103,
      0.220322519179133,
      0.200951562716407,
      0.17568167348144,
      0.167546583922081,
      0.188725805665023,
      0.235327142887104,
      0.262247188683461,
      0.24806621462719,
      0.226265527960517,
      0.212010799122253,
      0.205091837336005,
      0.253053818100156,
      0.345641441352826,
      0.423069319592488,
      0.439335794464248,
      0.435933942750553,
      0.448387562075865,
      0.460395347191725,
      0.471504385307494,
      0.490730322075537,
      0.532560055399682,
      0.569688722040749,
      0.532536718983668,
      0.462605491564609,
      0.433263382177256,
      0.433177430740284,
      0.445017791831694,
      0.43920207600727,
      0.37226613717247,
      0.294452014412429,
      0.257871740554983,
      0.249246550562033,
      0.242562489762139,
      0.235670165281919,
      0.237193639712351,
      0.242147227180014,
      0.258012078024098,
      0.297999995471225,
      0.359974101358565,
      0.409783152193495,
      0.404485970245901,
      0.377685782761571,
      0.363716341980621,
      0.356144277904822,
      0.347345759972779,
      0.353855285777392,
      0.375773429780818,
      0.395481419696045,
      0.395984378135532,
      0.389962647942844,
      0.394022542042585,
      0.420831036202675,
      0.448628739025263,
      0.424712918503161,
      0.364780621680376,
      0.325783994927647,
      0.329433341828227,
      0.35999821694792,
      0.398076469746534,
      0.42476029318152,
      0.444443355049086,
      0.470361816577523,
      0.47921180711779,
      0.462906200897328,
      0.471779335662008,
      0.527986600264954,
      0.609033694802699,
      0.660631783740403,
      0.616099500500004,
      0.49836851066396,
      0.415968015253156,
      0.38982870585846,
      0.398620253004442,
      0.417009653714194,
      0.421005978740197,
      0.402301515546215,
      0.380017573240892,
      0.390234410415208,
      0.429713753886661,
      0.3967836484784,
      0.320063869805296,
      0.281676074876901,
      0.279775912422948,
      0.298836988281358,
      0.334538206852046,
      0.390096699620012,
      0.444378055066844,
      0.462289958944889,
      0.428691047331475,
      0.376844164372246,
      0.341198446709996,
      0.326840549198245,
      0.327477911411534,
      0.339586319097013,
      0.364951437464511,
      0.373778916619147,
      0.321452123547965,
      0.263325909568233,
      0.248667342702211,
      0.265222609757656,
      0.276128860858915,
      0.266984477052251,
      0.259428091332402,
      0.261692268428996,
      0.280940476471123,
      0.3238277143438,
      0.382840782563003,
      0.403862196195294,
      0.380422554811084,
      0.366448305471392,
      0.356809629749411,
      0.333640063981715,
      0.323479698095637,
      0.327246845336291,
      0.326640277031086,
      0.323319641322268,
      0.332377905339328,
      0.362131917098126,
      0.408879100499929,
      0.439494934031599,
      0.383996403756742,
      0.307409578339694,
      0.281135081367608,
      0.292128350585926,
      0.307991433386117,
      0.325608924145854,
      0.36542806067564,
      0.415278213884993,
      0.433668629394094,
      0.40103100250065,
      0.358889011652969,
      0.344604692439374,
      0.365966620094872,
      0.412443981858411,
      0.455457920519023,
      0.455987148152682,
      0.432629255537162,
      0.418700110535109,
      0.401410269072688,
      0.396328638140963,
      0.410010562117138,
      0.411423336453755,
      0.388750944490517,
      0.370924670427909,
      0.388371973677719,
      0.446108461710059,
      0.454632449559848,
      0.363452535071271,
      0.293539347297186,
      0.277784742943228,
      0.291258334862194,
      0.321245905208025,
      0.371987892163905,
      0.432800735549266,
      0.465147283877858,
      0.451676544913713,
      0.411301948085359,
      0.372805860981595,
      0.344886735576258,
      0.331484074299822,
      0.331395440791394,
      0.350738175308655,
      0.39176809662209,
      0.43555137889564,
      0.456128708462554,
      0.456468029094574,
      0.447187893906303,
      0.415960471930678,
      0.386612913227507,
      0.373283324906347,
      0.357552508294094,
      0.343341771434334,
      0.34970483215488,
      0.380787997420123,
      0.407007099544442,
      0.398971686182624,
      0.373679902243793,
      0.347013628188727,
      0.305073684758553,
      0.282172968304491,
      0.300142770832991,
      0.314834036134862,
      0.286614034919229,
      0.254237112343724,
      0.263076833755085,
      0.302628446208695,
      0.33165488644358,
      0.345329259509497,
      0.374465057576411,
      0.394306223109464,
      0.35601279152637,
      0.299850721972791,
      0.281608045432912,
      0.311825138183397,
      0.360843331562057,
      0.360802662108805,
      0.322950445460239,
      0.287292824839441,
      0.258106649205176,
      0.236032602398532,
      0.222977661790219,
      0.201742037565286,
      0.169870943399372,
      0.155699376119977,
      0.172976715440675,
      0.218911438102698,
      0.251964750634991,
      0.245165317123482,
      0.225222206110303,
      0.20985433320772,
      0.20258957811882,
      0.221043185508031,
      0.31655069135865,
      0.405737415959797,
      0.440818968760051,
      0.452729865836379,
      0.470961418356307,
      0.481054508170384,
      0.4882118564745,
      0.502997950229412,
      0.536822738995228,
      0.560719275362051,
      0.510609414213912,
      0.436345986687208,
      0.411139504302992,
      0.419559134395758,
      0.438773701814179,
      0.436200359071312,
      0.368227555022484,
      0.284520355753232,
      0.242972594286202,
      0.23639462543308,
      0.236368236787273,
      0.228600594865725,
      0.222609333743493,
      0.220535878492154,
      0.230533468080901,
      0.268343352868272,
      0.338283936368927,
      0.40514371971965,
      0.40674437093709,
      0.375017308389927,
      0.349470280926895,
      0.327753781719155,
      0.320659494627295,
      0.34854055917292,
      0.390487487712216,
      0.423791851473052,
      0.429114636579518,
      0.417733480682615,
      0.405389763293939,
      0.405449109669204,
      0.412868010948255,
      0.398559864986824,
      0.364749000535724,
      0.345163061051951,
      0.360573402468947,
      0.398568740538598,
      0.435894211920294,
      0.448759419541407,
      0.452151851531803,
      0.471578100082931,
      0.487474936342108,
      0.467598117341003,
      0.452866704187742,
      0.482667221936746,
      0.551211824131287,
      0.604200490130998,
      0.564281848532226,
      0.453928753731958,
      0.382414202923824,
      0.37000119257005,
      0.392403790915142,
      0.405158011933965,
      0.383811082225133,
      0.349073758740168,
      0.333210489223918,
      0.366004747465895,
      0.425262129717853,
      0.394298673711225,
      0.313997219517162,
      0.278516602715866,
      0.286396651140068,
      0.314990514976897,
      0.350183533264303,
      0.394984815062359,
      0.432726074743641,
      0.437023307081111,
      0.400600683488553,
      0.360594409183997,
      0.341804231804508,
      0.334879743218121,
      0.327578742297777,
      0.323948772844409,
      0.332605519861126,
      0.331705390885503,
      0.28280000834492,
      0.233011507919109,
      0.225502165757686,
      0.247909105253251,
      0.260210885263132,
      0.245979126120381,
      0.231979421034417,
      0.228753705512065,
      0.24532618116507,
      0.292802848582759,
      0.367532325717784,
      0.402228906699424,
      0.376871582112209,
      0.349801390199834,
      0.321004590532562,
      0.288167570376675,
      0.288085546042402,
      0.307656778852625,
      0.313466131250884,
      0.313596868691699,
      0.339217439801608,
      0.394233058583559,
      0.447910586596889,
      0.453190955928802,
      0.377098242265143,
      0.302717570376778,
      0.276966209311141,
      0.284328640615854,
      0.299492111916709,
      0.323962191516921,
      0.37277305063828,
      0.425586288737362,
      0.435990136355329,
      0.40284869417009,
      0.372454947475438,
      0.365829168842634,
      0.391788616129595,
      0.441064291896091,
      0.480782164683481,
      0.474328332840785,
      0.447139082378539,
      0.429089275178073,
      0.414728137266239,
      0.417203522798051,
      0.427358978487646,
      0.405779019671636,
      0.35953269761164,
      0.331121600324826,
      0.348456325980987,
      0.414746968834476,
      0.436394163953117,
      0.350787405584283,
      0.282813292764765,
      0.273322731913918,
      0.298189164767827,
      0.335576187533678,
      0.383169719409978,
      0.431602363530061,
      0.447944022192891,
      0.422680388022149,
      0.382800660082282,
      0.358287353861168,
      0.345829204422718,
      0.333819548076865,
      0.321037041533291,
      0.324494518922199,
      0.354642857559686,
      0.398760542240067,
      0.430978926838006,
      0.450551469796358,
      0.457263361188123,
      0.433619489474872,
      0.40355770538704,
      0.380355419063595,
      0.350996467827046,
      0.328757758384947,
      0.335052742831853,
      0.372989135404678,
      0.408599398420406,
      0.403601529668896,
      0.374044078331267,
      0.335697019745224,
      0.278082479667515,
      0.249095625234281,
      0.27412806505413,
      0.302081842166651,
      0.283394816803704,
      0.251017154048978,
      0.255900209440372,
      0.295036841263826,
      0.328902076330356,
      0.340271001217919,
      0.361648803406328,
      0.381373872772001,
      0.351669726629406,
      0.298197409958089,
      0.271908926979517,
      0.285278625118879,
      0.319817175382145,
      0.328416900673618,
      0.306530074696299,
      0.276788043747474,
      0.247674749159203,
      0.231242375303456,
      0.222768284887224,
      0.196439229315528,
      0.153975117154824,
      0.133026214292089,
      0.147789760781748,
      0.192438135538526,
      0.226696778834417,
      0.224120450930481,
      0.208323002551482,
      0.193658137549293,
      0.18405674541991,
      0.194669015955051,
      0.291439330952448,
      0.389619264967966,
      0.43770107753231,
      0.459998933609924,
      0.483643065954271,
      0.493335061378979,
      0.494505518623094,
      0.501751845488216,
      0.530852131742923,
      0.553379531943785,
      0.49842095651044,
      0.422993080883213,
      0.409074511927043,
      0.432409818289368,
      0.457534856944795,
      0.445202420857489,
      0.367511509738922,
      0.283258175221574,
      0.242472129209802,
      0.233543303534606,
      0.229900255766616,
      0.22007880405763,
      0.214668895883602,
      0.217321908621722,
      0.233422619556902,
      0.275105990597656,
      0.348577321496448,
      0.422535069963297,
      0.430804865977725,
      0.398804994540826,
      0.360297797902668,
      0.320593782114501,
      0.313167691777201,
      0.368777539308442,
      0.439891763296347,
      0.470205416513335,
      0.442426875413037,
      0.415032900516739,
      0.422218663045392,
      0.43918637338973,
      0.438938489680239,
      0.429106345551745,
      0.420239810617705,
      0.40178839917888,
      0.385584170095949,
      0.388599232977757,
      0.419102533772308,
      0.452704095646574,
      0.465105639554484,
      0.486946625041291,
      0.524440180318468,
      0.510983985882655,
      0.4574487964048,
      0.432934466739693,
      0.469382791011729,
      0.516365063848074,
      0.479312131106035,
      0.391087684616172,
      0.352013545047981,
      0.364768453295369,
      0.404057608680391,
      0.41950846462125,
      0.385700889970639,
      0.342353652215368,
      0.329693473757935,
      0.369381880410637,
      0.42177086488332,
      0.374253361094765,
      0.289223550813998,
      0.266627303256911,
      0.298271707033151,
      0.343959171653792,
      0.37441094589585,
      0.400100063182285,
      0.416687760091464,
      0.403475088288123,
      0.356835452696594,
      0.323252400837567,
      0.334829871780397,
      0.361950862505935,
      0.366473505966411,
      0.353340886966605,
      0.341195155923567,
      0.318260940859251,
      0.264903401327456,
      0.222108861569538,
      0.215250208425898,
      0.231533499858907,
      0.238533237096287,
      0.224148874896233,
      0.2141854595795,
      0.219944158795867,
      0.245895477911956,
      0.298957427529154,
      0.376271905853249,
      0.41476492999594,
      0.3911310166806,
      0.352745706260622,
      0.300078957897635,
      0.252224858335339,
      0.254148989320707,
      0.28815123133738,
      0.311128020672341,
      0.328821504733831,
      0.369454575460618,
      0.429700458491784,
      0.4704740895092,
      0.456236514233525,
      0.379821971214484,
      0.309765080893096,
      0.280227363965402,
      0.287999347566523,
      0.321215508865129,
      0.357858247727303,
      0.388785563695662,
      0.416872061295215,
      0.432787603602708,
      0.425147884259179,
      0.401969513796002,
      0.375778303740165,
      0.372680787872985,
      0.402890921624669,
      0.450577088215547,
      0.475134172553576,
      0.465463260520772,
      0.447060601077935,
      0.442145912752507,
      0.460895237578613,
      0.476764844831251,
      0.441216858343998,
      0.377003971829197,
      0.33774648306614,
      0.34874777388652,
      0.405855602302365,
      0.415521856193021,
      0.324416054744235,
      0.262475620055065,
      0.270766653898003,
      0.320002996952672,
      0.369260038951633,
      0.404415269220493,
      0.427312258856395,
      0.421296273013497,
      0.38287543106038,
      0.339774493046342,
      0.332615270036772,
      0.3550336673632,
      0.365073803170253,
      0.350294697972887,
      0.338275557685833,
      0.349816805829295,
      0.385869275510522,
      0.431271449712717,
      0.468448605814623,
      0.474862277356876,
      0.450361455377604,
      0.423383262202821,
      0.395568137344011,
      0.362026782194042,
      0.343848348063682,
      0.355712553077926,
      0.393602258591192,
      0.426577311182454,
      0.424286374555438,
      0.397800740433742,
      0.35073706336993,
      0.277997908579639,
      0.239686703464921,
      0.266177398134814,
      0.306218621485602,
      0.30146990443973,
      0.270540969750298,
      0.260941206283868,
      0.276779016236776,
      0.295353890213531,
      0.304731385880134,
      0.322750523850071,
      0.344278977445073,
      0.335425551904397,
      0.300187961278231,
      0.27349415145252,
      0.269605198707735,
      0.277895083377427,
      0.275561945208856,
      0.262726688449036,
      0.24781158648551,
      0.230102480535318,
      0.220216480955961,
      0.215445487839038,
      0.190412713425631,
      0.150185478782703,
      0.133903894814114,
      0.152083479818147,
      0.191603515667397,
      0.213605129397018,
      0.206807309456982,
      0.194742107109603,
      0.182733705828693,
      0.17317322616024,
      0.182169043424881,
      0.281378622652511,
      0.386773384545015,
      0.442581694393653,
      0.466128300179693,
      0.484150184233404,
      0.485513873023455,
      0.479405924455629,
      0.482808198900264,
      0.512832988781057,
      0.545411532139589,
      0.50170200461732,
      0.430880567824139,
      0.417966554196346,
      0.441284297715715,
      0.470601200137081,
      0.460848441102419,
      0.375000677319127,
      0.285434007215561,
      0.247858268808379,
      0.241496581755054,
      0.235884133416171,
      0.226303879155031,
      0.224887541515469,
      0.23129579593333,
      0.249108935812334,
      0.290087270151997,
      0.361788450060775,
      0.435878095687654,
      0.446924507093567,
      0.418707140685565,
      0.381523749627065,
      0.343393215099099,
      0.333650098570775,
      0.374853550471448,
      0.427948717896209,
      0.456829541702736,
      0.449402951594517,
      0.434097726908767,
      0.431858147300495,
      0.429368852991939,
      0.410069885639322,
      0.393917329296125,
      0.417021993274971,
      0.446352657809118,
      0.449442536484749,
      0.437240757804907,
      0.455488534672401,
      0.518574440309,
      0.567655770838678,
      0.583865007799146,
      0.576490258578478,
      0.53093323227531,
      0.465735846727324,
      0.420021725930262,
      0.418948244581409,
      0.437356235291565,
      0.418600390316528,
      0.375986934247828,
      0.35788824811581,
      0.369002325965455,
      0.406270583304304,
      0.430521057883117,
      0.405978345741875,
      0.370968684559748,
      0.363878891803658,
      0.394887746521859,
      0.423109844291813,
      0.357545811023121,
      0.266836640735603,
      0.253947957555363,
      0.30850620235064,
      0.367500879777981,
      0.384180792981353,
      0.38321865198544,
      0.380146970254016,
      0.361755506089973,
      0.321529335171398,
      0.299012086171633,
      0.328752526940825,
      0.373030158936537,
      0.378681471816859,
      0.360135640950446,
      0.346587574216828,
      0.32016786993293,
      0.260834372374063,
      0.217776133283752,
      0.211243662494744,
      0.225572063412671,
      0.233119089272505,
      0.224173969179842,
      0.22079869387283,
      0.232586585150343,
      0.262222127383928,
      0.314492099528541,
      0.386801444874199,
      0.420198080348442,
      0.395254944352433,
      0.358561699653365,
      0.308066135131287,
      0.261592552120104,
      0.270925199416905,
      0.32747745528202,
      0.365512742868769,
      0.368459455848609,
      0.380986305089721,
      0.427207142646222,
      0.479995986724257,
      0.477013967886245,
      0.37916009675387,
      0.290630195096485,
      0.280239485038538,
      0.33119670372677,
      0.404745565080305,
      0.45230622100003,
      0.452188955118796,
      0.419366533112504,
      0.40756817745268,
      0.427370996853969,
      0.432868888982378,
      0.413470791957518,
      0.404426283307543,
      0.420712683670356,
      0.455998780082262,
      0.478135138291287,
      0.463317800258501,
      0.431181199272933,
      0.420872448063046,
      0.451178702839695,
      0.484580130421679,
      0.45667477052442,
      0.392041228242084,
      0.35281818329054,
      0.361705113624521,
      0.408907711057777,
      0.406765614994501,
      0.304969716478485,
      0.242288635001247,
      0.268592658471446,
      0.341137592895657,
      0.388500513276084,
      0.396023715323233,
      0.391646716614741,
      0.374325054276298,
      0.338865576732029,
      0.306233430870694,
      0.317579690430344,
      0.363282519357182,
      0.382399067432981,
      0.361674992938384,
      0.343593308408333,
      0.351136291669165,
      0.380917599306326,
      0.422493248015545,
      0.462960670052313,
      0.474483368545308,
      0.454895932138476,
      0.432728318081316,
      0.411977963873185,
      0.386717344861566,
      0.37004635170363,
      0.376584633966809,
      0.407796073954633,
      0.438933765094815,
      0.439037944779364,
      0.415630029695721,
      0.370804049539557,
      0.300272584549301,
      0.256147558956266,
      0.270627188953926,
      0.311397945143532,
      0.324285896296216,
      0.302278435158869,
      0.279652187738387,
      0.270328766185567,
      0.270526989677497,
      0.275914203704088,
      0.291838856131272,
      0.314103189447196,
      0.327673803857296,
      0.320244129869265,
      0.301183714794403,
      0.283578698792982,
      0.269830599853681,
      0.25441678628723,
      0.239000481054998,
      0.230102512253772,
      0.223438378445497,
      0.217708119573073,
      0.211275507117678,
      0.189626680262519,
      0.156870315487669,
      0.145598998764119,
      0.16564552566067,
      0.203687312831512,
      0.220521569774954,
      0.210562541801595,
      0.198524814840896,
      0.186080516452884,
      0.175448240747371,
      0.183500233626285,
      0.287480439175746,
      0.397430544835664,
      0.457272286752674,
      0.48719717678852,
      0.508895746766026,
      0.506870963752661,
      0.494099276845022,
      0.49325244457368,
      0.522524322735811,
      0.560110336506803,
      0.522194618089775,
      0.449818848994733,
      0.428943538718357,
      0.44671063784341,
      0.483353754373903,
      0.491155334254886,
      0.405315511420294,
      0.299229664016,
      0.249940683743727,
      0.241401930349721,
      0.241316439288411,
      0.23847611640441,
      0.242620036317563,
      0.25056249544036,
      0.263529526813896,
      0.295903106870277,
      0.359705374303646,
      0.432402302764862,
      0.447748356262136,
      0.426332454810543,
      0.397788776177005,
      0.369415256029149,
      0.356734532787361,
      0.363609198106297,
      0.373281628766044,
      0.394503257345807,
      0.424532556137982,
      0.436479684922842,
      0.425625690068268,
      0.409966381858382,
      0.390577633754318,
      0.361882519019501,
      0.350568563414056,
      0.358171774475011,
      0.375416553251571,
      0.40168698321539,
      0.446735325549329,
      0.511361570226743,
      0.571920960775645,
      0.60028232229136,
      0.573932162675218,
      0.511715591931401,
      0.453721075860816,
      0.4130304757087,
      0.397990480943435,
      0.398541427754233,
      0.379148760705306,
      0.336224278917991,
      0.307003256622253,
      0.30948741461217,
      0.351994822873698,
      0.401456200197107,
      0.418044094791603,
      0.419074900416037,
      0.416980214477769,
      0.414784953086952,
      0.413825724224296,
      0.35859374294719,
      0.282309729344236,
      0.273958653543985,
      0.328473923134819,
      0.381128196178568,
      0.390892281186082,
      0.385702585718903,
      0.378411386035204,
      0.359264683613329,
      0.327286999750251,
      0.310373188001011,
      0.32965347497454,
      0.36144027261649,
      0.365264160320077,
      0.356210382634844,
      0.354519062299715,
      0.331529898193694,
      0.264002578491676,
      0.214561417499183,
      0.209101001602175,
      0.230183818132242,
      0.248382311995007,
      0.248192381680451,
      0.249691827222491,
      0.259910646280526,
      0.281468766052936,
      0.322360023872884,
      0.386819079722719,
      0.421392015808552,
      0.400386736935518,
      0.369752601549301,
      0.331515926646407,
      0.296660398168178,
      0.300015518839986,
      0.326543477712132,
      0.334359838124352,
      0.332009758627371,
      0.356786518361577,
      0.417247695920169,
      0.490318477986592,
      0.509242670035822,
      0.402637335731824,
      0.287735970313618,
      0.261869051178307,
      0.304971673984022,
      0.376788313319966,
      0.439222329339884,
      0.454846399161345,
      0.404303951915135,
      0.357500369316822,
      0.374522697163842,
      0.406440540674061,
      0.415534883984107,
      0.42760420131276,
      0.445325063341877,
      0.451765777128042,
      0.436704710188434,
      0.410142538187859,
      0.377192320913123,
      0.358149380631859,
      0.386884637827187,
      0.4333822039703,
      0.435044809802802,
      0.403475374238127,
      0.383562650940075,
      0.386650496803412,
      0.410014030470472,
      0.402579650685012,
      0.313236950104916,
      0.257389072996716,
      0.286932244969532,
      0.359158490267472,
      0.399876931499922,
      0.399768350846295,
      0.388273765397145,
      0.368146802373521,
      0.33973625579988,
      0.318236086301352,
      0.326030150468662,
      0.357256958529856,
      0.368534581073562,
      0.351978672935136,
      0.343823113160491,
      0.353933063412068,
      0.370590437189678,
      0.39210676842939,
      0.429507931346942,
      0.455961266149504,
      0.448081289681447,
      0.42931196607316,
      0.415439310342761,
      0.398792417193693,
      0.380213540881348,
      0.376978539590888,
      0.401871373185875,
      0.438328740997095,
      0.446642367550774,
      0.427658690227134,
      0.387771347535525,
      0.322442722219375,
      0.274457040201897,
      0.27689651039974,
      0.309738570716614,
      0.330261639410918,
      0.320261779663451,
      0.302034814422585,
      0.288748696306091,
      0.275776172612182,
      0.265223945313686,
      0.275068496288943,
      0.30298209936706,
      0.314943870719944,
      0.298109052238579,
      0.278915594480297,
      0.275288341164116,
      0.279506813806124,
      0.263154843265876,
      0.235827812361008,
      0.225265823123746,
      0.228608634807664,
      0.226831770789613,
      0.216152230264005,
      0.194692364986104,
      0.164302071138846,
      0.155394470573354,
      0.179510121123233,
      0.221732549767905,
      0.236396706496827,
      0.219498746737099,
      0.200949834889618,
      0.184632212809626,
      0.175760792387538,
      0.186138432652366,
      0.297155854609898,
      0.414570087958334,
      0.474590566362202,
      0.503873655189012,
      0.533039526200973,
      0.541179297109391,
      0.535877099155773,
      0.538356426408683,
      0.569564531415945,
      0.609207535437603,
      0.564783382384923,
      0.481743764368254,
      0.45607349348683,
      0.475460112143679,
      0.518934306160625,
      0.537766669844108,
      0.447507396404154,
      0.318991359775764,
      0.25186804022501,
      0.240707035740436,
      0.249157589725869,
      0.251332295657534,
      0.25814606675933,
      0.269530097844885,
      0.279923184564538,
      0.303572857942338,
      0.35855913323068,
      0.428264600278087,
      0.443182327978432,
      0.421367722050921,
      0.395263970727435,
      0.374973670617077,
      0.372025848511281,
      0.381131811907467,
      0.389652602195343,
      0.406818508606918,
      0.426079872513714,
      0.430707038055698,
      0.431722075984773,
      0.44873330802863,
      0.452416504449794,
      0.402821387931572,
      0.342158747416035,
      0.314378147067173,
      0.327527635576606,
      0.370042330011231,
      0.421996084413002,
      0.458624292507694,
      0.484634214228111,
      0.506947919745849,
      0.506525976324757,
      0.484719826088905,
      0.460674765672521,
      0.439723051812218,
      0.42835787000461,
      0.428520423833771,
      0.40810213534048,
      0.349670779217276,
      0.299602023287472,
      0.28346077538302,
      0.304759642184367,
      0.342939602791327,
      0.374153356651879,
      0.39423811109126,
      0.397646514881406,
      0.39445904830665,
      0.410149322914809,
      0.397910698887726,
      0.348941681984757,
      0.33525924054568,
      0.367661953400888,
      0.402758051628263,
      0.408460250963393,
      0.406238761888352,
      0.408335180831696,
      0.408062965620814,
      0.396367137612044,
      0.380112293291362,
      0.373689267909499,
      0.380561221285628,
      0.387993350736946,
      0.401778367993598,
      0.415797138575408,
      0.389368842956304,
      0.304799186603061,
      0.24373417032907,
      0.237738133644568,
      0.267549397807458,
      0.291267034716491,
      0.285648052363075,
      0.285889773749135,
      0.296390188142484,
      0.310410890378175,
      0.338856280037644,
      0.397872714612379,
      0.438300615062732,
      0.424864031555126,
      0.402806436395213,
      0.379611563307566,
      0.357441626153144,
      0.357952416041958,
      0.363165281268317,
      0.343796130092844,
      0.322725111165082,
      0.333546023274812,
      0.377655342880083,
      0.434474472356405,
      0.464744295636264,
      0.408525964795981,
      0.327935533372242,
      0.293121723731488,
      0.296728465156025,
      0.321652686032756,
      0.360064534814501,
      0.391266724065735,
      0.385765460623368,
      0.371941602687243,
      0.386523211131464,
      0.404747557446322,
      0.404303664426697,
      0.410058940899974,
      0.42229027321182,
      0.422570591822149,
      0.408105205007188,
      0.399852883836437,
      0.38871893836852,
      0.368738400645293,
      0.374530105484485,
      0.395781181463706,
      0.400805295141438,
      0.397675188331608,
      0.399565562531686,
      0.401769584486083,
      0.414563479323941,
      0.425274982525992,
      0.372856082540249,
      0.325908387887591,
      0.337907404454218,
      0.38634193129332,
      0.415869638767661,
      0.418135701257927,
      0.413211600163388,
      0.404003620170228,
      0.39497017550529,
      0.390694460079395,
      0.388625806777606,
      0.390060232211078,
      0.389221665029547,
      0.388496925666533,
      0.400277102036266,
      0.411439708610112,
      0.405031648571467,
      0.395171642354412,
      0.416159420496794,
      0.442410779686338,
      0.440026334147539,
      0.426004723273822,
      0.419025386726329,
      0.411505347803001,
      0.394782834207941,
      0.386335376326346,
      0.405371960381979,
      0.43995603749951,
      0.447372169401048,
      0.427542355619379,
      0.390751010346975,
      0.33217099027569,
      0.292428841086113,
      0.304434566253952,
      0.345327224336005,
      0.36832755385718,
      0.357592835192273,
      0.343922255630047,
      0.341564947171921,
      0.331944284455352,
      0.311885720807837,
      0.319515633021332,
      0.360285604803635,
      0.376732607676354,
      0.352368425071681,
      0.330714017178939,
      0.333319851765036,
      0.344149459330717,
      0.320683774097598,
      0.27627570205103,
      0.249713587276951,
      0.24468528857425,
      0.240952295000913,
      0.229357987669207,
      0.206935269409324,
      0.174588973881871,
      0.167359480699137,
      0.197367803033529,
      0.245163593232542,
      0.256716585539629,
      0.232834344817415,
      0.213485962262217,
      0.198687631169906,
      0.18939067008768,
      0.185481229193788,
      0.305689153129765,
      0.436592368014237,
      0.494661019854798,
      0.509488801625706,
      0.54319889254436,
      0.579108214262808,
      0.607447906003882,
      0.627072577357778,
      0.65287407855939,
      0.670834331288441,
      0.600902605786991,
      0.504057860370093,
      0.477783281522813,
      0.499426446038689,
      0.538808067080121,
      0.551241795313322,
      0.457132459807733,
      0.324303908906854,
      0.255097882568042,
      0.247650712890011,
      0.260217014367226,
      0.260857533288676,
      0.265912210291699,
      0.28158436370611,
      0.29715779178157,
      0.319703100518853,
      0.364188497537304,
      0.416740173741268,
      0.422802000575409,
      0.404286340445843,
      0.386672776684715,
      0.373691439823857,
      0.376924764599183,
      0.412436231227146,
      0.466594790693135,
      0.506342705694846,
      0.49545531992579,
      0.461496972495394,
      0.458594470842389,
      0.500228554391908,
      0.541469205845486,
      0.533279472586411,
      0.499624341297674,
      0.475555131084759,
      0.472911342658912,
      0.483336171726289,
      0.495955849065263,
      0.500091182703551,
      0.507794736618084,
      0.527896069573018,
      0.549853706857699,
      0.561816367826564,
      0.568368519450807,
      0.568823219236626,
      0.561883858357959,
      0.559607381376439,
      0.549543057595456,
      0.484001076594258,
      0.398807370763968,
      0.337595462315424,
      0.315992742634801,
      0.330020940846459,
      0.351757681657873,
      0.360494480873761,
      0.360054203143228,
      0.379935401478877,
      0.450841753225402,
      0.519433943495342,
      0.525262842609675,
      0.515464593462354,
      0.521536483777399,
      0.536210421000029,
      0.538225225173727,
      0.536788984763553,
      0.544855536439176,
      0.565860313162599,
      0.582218770096241,
      0.568874828044108,
      0.52690762755899,
      0.487111934851402,
      0.472804241034873,
      0.483113930032862,
      0.496296016886454,
      0.475298369868936,
      0.395611581971394,
      0.330625101199415,
      0.320209728991173,
      0.353653095331956,
      0.384536958803959,
      0.379550049340609,
      0.377228504621573,
      0.378252398673354,
      0.37727238877672,
      0.39200878861855,
      0.444214595641127,
      0.485313788383443,
      0.48297704853946,
      0.477815500485674,
      0.473114785029917,
      0.455417109957855,
      0.443144784738143,
      0.445489387646588,
      0.445827235080915,
      0.437386698078843,
      0.438475693279787,
      0.464107883673413,
      0.496451068582064,
      0.521082087753585,
      0.523007470575784,
      0.49830415708782,
      0.470085444364918,
      0.455515033015293,
      0.455485644851162,
      0.460739144587189,
      0.471080524268835,
      0.484271653732009,
      0.499671996564083,
      0.519156109230601,
      0.544792916252435,
      0.552603406709071,
      0.541101809731443,
      0.517713429441598,
      0.492960487815011,
      0.485552775198594,
      0.508877163704058,
      0.51969199126577,
      0.485728106091854,
      0.445622547683106,
      0.42254557603725,
      0.414936870418428,
      0.418258979882728,
      0.426468627280814,
      0.43895129881003,
      0.47334174818411,
      0.532608453208039,
      0.541060368910272,
      0.512374411548,
      0.503412185684998,
      0.525906967637148,
      0.547180877959575,
      0.548983630286752,
      0.546869612258283,
      0.550194364190241,
      0.566833085259944,
      0.587169643729948,
      0.578324503034575,
      0.53203539538124,
      0.48885516231212,
      0.475433098579276,
      0.480492796481782,
      0.477394821539194,
      0.456880083130669,
      0.439872096110501,
      0.452489211317093,
      0.466945270431707,
      0.459397923397129,
      0.448211070536987,
      0.447703055784133,
      0.449108486138795,
      0.433579882401898,
      0.414967197472275,
      0.414767129727107,
      0.4285852274801,
      0.426791358577039,
      0.411737218314617,
      0.386397595190053,
      0.3429330755025,
      0.328539462464343,
      0.388015975377775,
      0.492129390199386,
      0.557674392244611,
      0.54741204275054,
      0.517761298584217,
      0.5091045794848,
      0.509111943953794,
      0.498387393122618,
      0.511106373988803,
      0.566405600875423,
      0.59464415167447,
      0.558811305266654,
      0.514866258187423,
      0.495486622340911,
      0.484841664074962,
      0.439284224315935,
      0.371384792954376,
      0.314117908912463,
      0.275176898159596,
      0.252984043269279,
      0.240511176107427,
      0.222946300153662,
      0.190453268631921,
      0.174856316773194,
      0.193149303282972,
      0.238440603933544,
      0.264337504843895,
      0.251674591869055,
      0.232663918248217,
      0.215774714858318,
      0.203256881475272,
      0.189084537695835,
      0.322513208111858,
      0.472885718133507,
      0.527493769777908,
      0.518600468381722,
      0.553468994194724,
      0.62002553581322,
      0.679511479383835,
      0.704781980512562,
      0.707755674327092,
      0.686750849610434,
      0.593557213746175,
      0.492192408123495,
      0.471806126336162,
      0.513195446673338,
      0.567380637270797,
      0.558902685361679,
      0.440627850924878,
      0.317751470256123,
      0.263385563498178,
      0.256816199453408,
      0.261266594636511,
      0.259281874724666,
      0.266967209382377,
      0.287340804618992,
      0.30790370326442,
      0.330300750462792,
      0.365402114393384,
      0.405838143411447,
      0.412324547375725,
      0.398285386452042,
      0.381438883095942,
      0.366892784849408,
      0.36891845585352,
      0.413388823893266,
      0.493928170164427,
      0.55887443193586,
      0.540947314738571,
      0.480870904475864,
      0.463246604113906,
      0.506371035486649,
      0.561228505704648,
      0.584802499191582,
      0.586352170631153,
      0.585757768537387,
      0.589660283946138,
      0.579525921093688,
      0.546350751208509,
      0.515445397920915,
      0.523907039259725,
      0.554280560425035,
      0.580449377265943,
      0.592152723689367,
      0.602117378441459,
      0.611316158732987,
      0.614021650591752,
      0.623617189260407,
      0.635975810557057,
      0.576752904704567,
      0.474269035895071,
      0.384650895600266,
      0.332030883461579,
      0.323687220078506,
      0.335274276558177,
      0.336879295045218,
      0.334157050739108,
      0.367963370983035,
      0.466460539170021,
      0.570783216381273,
      0.612062591528649,
      0.619307195171032,
      0.623725976141659,
      0.628433124873202,
      0.620981459465869,
      0.615647184180573,
      0.627341059556204,
      0.659158056898354,
      0.692983775058298,
      0.699930816141466,
      0.650190408026388,
      0.568892855451174,
      0.522713127070733,
      0.523208351453787,
      0.534842487051979,
      0.52948632875468,
      0.481041112751122,
      0.431197571547107,
      0.420399699745287,
      0.452688348197021,
      0.487160820518523,
      0.487016139028528,
      0.484724044723312,
      0.475951756330892,
      0.459000260482787,
      0.456954280038215,
      0.496361066012967,
      0.534322500191724,
      0.546486883867329,
      0.561145278803149,
      0.571045184279969,
      0.551173935619747,
      0.518089303430424,
      0.499840759711109,
      0.507812526765398,
      0.52315364238316,
      0.537142291781666,
      0.558432597278585,
      0.572753545221162,
      0.57527622908789,
      0.582126969484247,
      0.581299849134534,
      0.568880513185902,
      0.556984564806501,
      0.540750363599459,
      0.520195053897301,
      0.520396892666136,
      0.550835086556716,
      0.584095017320272,
      0.608410198618317,
      0.635821852145203,
      0.653214198172469,
      0.645784448909287,
      0.608534685397885,
      0.56019343069565,
      0.54520803878422,
      0.578489173669898,
      0.594353985289276,
      0.560013985624044,
      0.508180397203634,
      0.473742704832018,
      0.474349427914318,
      0.491046966243485,
      0.500246981195408,
      0.509287622658144,
      0.544675841963464,
      0.601538603400236,
      0.628953241724744,
      0.63389266040978,
      0.634468674881235,
      0.636049722918042,
      0.636113868225705,
      0.636946611989143,
      0.638929312977823,
      0.646798058676803,
      0.672059907719371,
      0.698374054465857,
      0.682652984128926,
      0.611138378886192,
      0.541089439346882,
      0.513558578587784,
      0.513814460805833,
      0.507952897526424,
      0.484068345448484,
      0.463140910985342,
      0.472276982471037,
      0.482103494127148,
      0.467557970777381,
      0.454584279399325,
      0.46056041573795,
      0.472342426924418,
      0.457470391073577,
      0.426491770140206,
      0.40891188426198,
      0.414255596012628,
      0.41671942059092,
      0.406149783814042,
      0.385065093150274,
      0.358329619100805,
      0.371953563653108,
      0.460611622403933,
      0.576571177340323,
      0.618841531277663,
      0.5797308431799,
      0.545662250626759,
      0.55628034537283,
      0.585135952990018,
      0.597957860464941,
      0.620859969146246,
      0.662545265507233,
      0.662984568694592,
      0.611743927842684,
      0.567780389976957,
      0.54846271724632,
      0.524954887242029,
      0.461763071463119,
      0.383628705571361,
      0.317026318929739,
      0.272016047411161,
      0.251694867155273,
      0.241089269751932,
      0.223893241050851,
      0.191053255133646,
      0.170011578172817,
      0.180187698881407,
      0.225951747716394,
      0.267468603584512,
      0.265983049639558,
      0.242852037719255,
      0.217630164498858,
      0.199945753802503,
      0.188765848070569,
      0.330905132495371,
      0.497423255848874,
      0.554130932050697,
      0.52385252861221,
      0.538036250851312,
      0.589584558953609,
      0.633374079312989,
      0.648419677179905,
      0.652334667934346,
      0.639304366232167,
      0.565329567144898,
      0.48313468310819,
      0.477721924981365,
      0.545035220731981,
      0.623339088436133,
      0.59934641836181,
      0.45487862166431,
      0.338564536994577,
      0.293009086359871,
      0.275395040494818,
      0.260723434807713,
      0.253357660496175,
      0.265079283767802,
      0.287171544661255,
      0.305200024933327,
      0.323656472443369,
      0.353419366882461,
      0.388970670542021,
      0.400658432602306,
      0.39771847325809,
      0.388757769658868,
      0.376382379341613,
      0.367725772493223,
      0.378827452636539,
      0.416027102095239,
      0.454696181420906,
      0.45150185250839,
      0.426629105567887,
      0.426098569051914,
      0.459590563299696,
      0.490243197451781,
      0.481007971821763,
      0.459733097038627,
      0.45195946055903,
      0.44742297081118,
      0.428092933805665,
      0.412233717919972,
      0.432803205033935,
      0.47588421389855,
      0.512833027056154,
      0.52231763304511,
      0.49975548179774,
      0.47764951065323,
      0.472465982431649,
      0.482655754515126,
      0.499627225936799,
      0.494416899198104,
      0.452918044372547,
      0.41761444854615,
      0.392791951242647,
      0.366956402520372,
      0.344155546391096,
      0.335672455949994,
      0.327327448871759,
      0.322561364587486,
      0.349684071096491,
      0.408862382926671,
      0.446127298063708,
      0.457236519148138,
      0.470095698027974,
      0.488187786137424,
      0.499413173839585,
      0.492917773263815,
      0.48345160529883,
      0.484271246867886,
      0.498339810037025,
      0.511081786542221,
      0.510734890833489,
      0.489501636871577,
      0.460409125078933,
      0.449590143283809,
      0.461630941815898,
      0.479499170100149,
      0.473000463874595,
      0.418908598707338,
      0.376756604164396,
      0.376988377200305,
      0.407852208956386,
      0.431110945540112,
      0.427288309503221,
      0.419530076895839,
      0.412488738888211,
      0.415058901482221,
      0.437084598766945,
      0.47915710082042,
      0.500050707831743,
      0.501397569441078,
      0.504903114897683,
      0.486864963688175,
      0.442940704253065,
      0.407637892163628,
      0.383198624338154,
      0.364501561241553,
      0.361197236398957,
      0.385283615743539,
      0.431282122207705,
      0.473105584519471,
      0.485906943936973,
      0.465729478025888,
      0.439812007368063,
      0.42204929686364,
      0.406842452701759,
      0.388277661787864,
      0.383294259087071,
      0.414135341742795,
      0.471147874264707,
      0.511073492905918,
      0.513371182432106,
      0.499825054105356,
      0.482939773791162,
      0.462560636044638,
      0.442463641999223,
      0.433414089789284,
      0.444743158096883,
      0.475808906990609,
      0.502069767539816,
      0.500959629569946,
      0.484384085091089,
      0.471349538340239,
      0.458642758336818,
      0.441796908920625,
      0.435438244886747,
      0.457564629331265,
      0.500345314461675,
      0.506558754316521,
      0.471400392626434,
      0.456584711430569,
      0.469016862947287,
      0.496745724015654,
      0.512550996790682,
      0.507052634323947,
      0.495745753380821,
      0.492549982863163,
      0.503298788935901,
      0.521727041218437,
      0.525158322010916,
      0.493918385073222,
      0.455616649136215,
      0.442396962073178,
      0.451327296595271,
      0.457488149527646,
      0.44513840311482,
      0.42877455639501,
      0.439101627655372,
      0.455823974315516,
      0.449239125826615,
      0.440910325664377,
      0.446351917372293,
      0.451603371564725,
      0.434128665294772,
      0.406088692838313,
      0.391792430689159,
      0.397339424022285,
      0.403923151880309,
      0.40051400516362,
      0.385712061007558,
      0.366162280766386,
      0.376107957787915,
      0.419704491979875,
      0.4486600831693,
      0.420507034201903,
      0.375062468888713,
      0.364590804615051,
      0.395071060679394,
      0.437002794743372,
      0.454612632467653,
      0.46234332205283,
      0.468833373192215,
      0.443457545976976,
      0.404800844494967,
      0.399778589315936,
      0.417190256014347,
      0.408025147269602,
      0.359406880652307,
      0.316039242708589,
      0.283730656825637,
      0.257927304686332,
      0.246290242212905,
      0.237829008094974,
      0.218869919748838,
      0.187369262137133,
      0.169449903709821,
      0.181618327403202,
      0.228595717045668,
      0.271602376753072,
      0.272890967575309,
      0.251651359730218,
      0.224609723447347,
      0.202125395268016,
      0.176913893880187,
      0.309416402255871,
      0.463435165112279,
      0.524341459957368,
      0.503569738543089,
      0.504967602601608,
      0.524398588156408,
      0.53659350245758,
      0.539491746754051,
      0.558103943475357,
      0.583854623659807,
      0.551071474512474,
      0.490760251677392,
      0.486696697046047,
      0.541014537089406,
      0.602672562050467,
      0.575052825550015,
      0.444673572090148,
      0.340958770468813,
      0.297746128116089,
      0.276217606996881,
      0.258259797580978,
      0.25053170984055,
      0.259540466945137,
      0.274962780498965,
      0.288881943800968,
      0.309232833413202,
      0.344255006772114,
      0.382518731372065,
      0.394342248072939,
      0.393614575504041,
      0.387813417038634,
      0.3660389949068,
      0.33243178037011,
      0.320657949856702,
      0.344517557023631,
      0.383136445946359,
      0.407322142702176,
      0.418073982157182,
      0.424356743721987,
      0.43136369718002,
      0.430444166188419,
      0.400905809505279,
      0.369896412810111,
      0.365178550314338,
      0.375123425231327,
      0.38447034470825,
      0.408115392525074,
      0.454970216896069,
      0.493749699917759,
      0.511084029610186,
      0.494156543732468,
      0.4491831964421,
      0.408522371529965,
      0.386007231248911,
      0.386064153718652,
      0.396902885352238,
      0.392401143459149,
      0.382967401778469,
      0.392232657932242,
      0.407146647684097,
      0.412475460362754,
      0.398030986637335,
      0.374029652494954,
      0.354758547370904,
      0.353064178854457,
      0.373732096306796,
      0.390148577504436,
      0.358302993059862,
      0.319579550789685,
      0.318422859357588,
      0.3570096774162,
      0.399883357192347,
      0.400555602708623,
      0.374948684404236,
      0.357560890142993,
      0.357456272409168,
      0.361559554038528,
      0.365632141617012,
      0.378300740496402,
      0.399067351672713,
      0.408039105287886,
      0.408659462302616,
      0.414884478198495,
      0.396887713917074,
      0.314765589300721,
      0.247504084212635,
      0.23546964880509,
      0.259814828685381,
      0.279647981558343,
      0.275768290595503,
      0.271849279152269,
      0.282296491343525,
      0.308599262495516,
      0.346402691895394,
      0.387413145849573,
      0.399704399202938,
      0.390769280669579,
      0.380575778044334,
      0.34681403724515,
      0.31013022396629,
      0.313820273538456,
      0.33168412357178,
      0.325565120299398,
      0.313599229774584,
      0.329495566348563,
      0.369792704623525,
      0.421769634482669,
      0.457724269940799,
      0.418665020016868,
      0.34871161311509,
      0.302070035830119,
      0.278992519013791,
      0.280354203705639,
      0.315962855983399,
      0.374047511010896,
      0.422601296741155,
      0.441809542174564,
      0.428539032246463,
      0.402179832769788,
      0.382022817654549,
      0.374040235115435,
      0.373934859229582,
      0.374850244044821,
      0.378148295249255,
      0.40015298033849,
      0.434807720776242,
      0.451777023014052,
      0.457255496905538,
      0.458131819654701,
      0.428111963916967,
      0.374784036915723,
      0.343181314502752,
      0.360007970249206,
      0.407667830622325,
      0.405068079553441,
      0.34409456305535,
      0.312464778505455,
      0.333184160231449,
      0.386740217377537,
      0.416258065998014,
      0.400449922926375,
      0.372029957171962,
      0.35413420913914,
      0.349946120969546,
      0.359949032953971,
      0.378377543873636,
      0.39677268904824,
      0.402530511305272,
      0.395330490513618,
      0.397249353734547,
      0.414600369663954,
      0.425420173785213,
      0.417608167579798,
      0.418000237113686,
      0.42687550599871,
      0.422565903320298,
      0.419610482695587,
      0.426567144262673,
      0.42751212968002,
      0.412195062723379,
      0.393578330498563,
      0.388021993188081,
      0.392766051439012,
      0.394944497001647,
      0.393005470278596,
      0.383301552769065,
      0.350956860483776,
      0.324936193068757,
      0.33554767918133,
      0.343181354584166,
      0.298860661472667,
      0.244566017418238,
      0.232784970957806,
      0.261494075477595,
      0.294833792105679,
      0.309417010518352,
      0.324749470276116,
      0.338793646321535,
      0.312690691230739,
      0.269110089466784,
      0.258949818522568,
      0.275382868332054,
      0.277520041605695,
      0.249393849699144,
      0.229541130048175,
      0.229121361280435,
      0.23626546299675,
      0.24051296070444,
      0.236320000847068,
      0.218070460928071,
      0.184455499127774,
      0.164986448117378,
      0.176412132210963,
      0.222163679415431,
      0.262677635944968,
      0.262459560656999,
      0.241957940422723,
      0.215746764946735,
      0.19312680526876,
      0.162323051635368,
      0.27800923389343,
      0.405246616019361,
      0.462989161252496,
      0.464783464455852,
      0.472835061886129,
      0.478949495222211,
      0.478296315662292,
      0.480413232540297,
      0.511179220820747,
      0.559948479954366,
      0.544302239666798,
      0.482911660740852,
      0.463189370731699,
      0.486379509702513,
      0.520059224060229,
      0.51529458074802,
      0.436885795970473,
      0.344174806842932,
      0.286015600911061,
      0.256213376756023,
      0.245014524219107,
      0.243612520141105,
      0.250459887401515,
      0.259202951282216,
      0.269794801096004,
      0.29351225420945,
      0.338074526008555,
      0.384775822809254,
      0.391050055377209,
      0.374932151393436,
      0.35522115340357,
      0.325943878454335,
      0.299258449102057,
      0.312254247925359,
      0.361178689336484,
      0.413956010934639,
      0.441530559382915,
      0.447106743596442,
      0.437810456685715,
      0.421252562630035,
      0.401996160270926,
      0.374345541053211,
      0.349455235865164,
      0.349626292094672,
      0.381454582889313,
      0.436465313400991,
      0.498216806415955,
      0.527424111966523,
      0.521437427329674,
      0.511241289000258,
      0.486717167687207,
      0.444807858137948,
      0.408436259907643,
      0.381458235905901,
      0.368038913653297,
      0.368515133635381,
      0.360192792649961,
      0.343689085078446,
      0.348535617997582,
      0.381169323653016,
      0.431937070315442,
      0.460093686741077,
      0.443155456532291,
      0.418368235055217,
      0.420142419342121,
      0.438844380385029,
      0.430498450875901,
      0.356595484684904,
      0.284016605998162,
      0.268101469407998,
      0.310351984792162,
      0.368620401035951,
      0.383309680374674,
      0.36726656178821,
      0.359616645656959,
      0.362390814410491,
      0.349891002612466,
      0.327494130201055,
      0.335103438684791,
      0.377781157920612,
      0.403469867938313,
      0.40156710556795,
      0.397154688585761,
      0.371240354745806,
      0.280386441568862,
      0.201557899832185,
      0.180482855852423,
      0.200052143810108,
      0.217587049497179,
      0.212516642337318,
      0.213099707408287,
      0.234094995254002,
      0.268834265701291,
      0.310829202350139,
      0.356323371222272,
      0.37195523115337,
      0.353166521676754,
      0.326655394446673,
      0.284460198883237,
      0.257031298650701,
      0.291644257530073,
      0.358859553492643,
      0.393564957568378,
      0.390302132808752,
      0.39800894882996,
      0.430280367652805,
      0.472036948978501,
      0.491938887421252,
      0.425795519871476,
      0.330420177468813,
      0.278151748153408,
      0.281086199128808,
      0.326697970205838,
      0.388443364944655,
      0.434808111421024,
      0.442338380887266,
      0.430080920920082,
      0.416722777860734,
      0.405001084217265,
      0.400427251707723,
      0.412753362481751,
      0.426558622695668,
      0.424017031121438,
      0.407132980729677,
      0.39972051036407,
      0.406714306010456,
      0.416411588789838,
      0.43752628312588,
      0.458289125973353,
      0.442655872222113,
      0.397104199636984,
      0.365225393075234,
      0.368849043473285,
      0.399219158779801,
      0.389398297743022,
      0.313768513855899,
      0.265427641999804,
      0.281095490903469,
      0.345741218481561,
      0.393794896969406,
      0.392284569201097,
      0.375509363494288,
      0.368260381764387,
      0.358506902718464,
      0.33873660760704,
      0.330505153864196,
      0.361783540915188,
      0.39646597327987,
      0.396218869515089,
      0.387475598060611,
      0.396732455019218,
      0.410780135597896,
      0.41035316379046,
      0.414193975688094,
      0.422746054518269,
      0.416696913745743,
      0.404356099176197,
      0.39749686557857,
      0.392006389511886,
      0.385228808118848,
      0.382199727138439,
      0.389882823917935,
      0.396688882424048,
      0.387632162666297,
      0.370072410548836,
      0.346782620301074,
      0.310153702017968,
      0.296340595085218,
      0.326338035368023,
      0.347252318069195,
      0.302987727073225,
      0.241874144872005,
      0.2223803558707,
      0.236602754409415,
      0.249242216765912,
      0.259032678789362,
      0.290214780973865,
      0.320876221569783,
      0.300036316359868,
      0.256134787860707,
      0.244026631776533,
      0.25849181400397,
      0.257100986775646,
      0.218558980893559,
      0.190498198476649,
      0.195050893710816,
      0.21739975838925,
      0.232945031595499,
      0.233417300938724,
      0.213280446621805,
      0.174046004453433,
      0.151343957774684,
      0.159816407361416,
      0.198697594792947,
      0.232974887139455,
      0.235680528011807,
      0.221943856265292,
      0.199944654452761,
      0.178221140294834,
      0.157282757265101,
      0.262670685300565,
      0.37229210186557,
      0.41863678839597,
      0.423970515105668,
      0.436764373102127,
      0.445316773019595,
      0.451616492105225,
      0.468631369617324,
      0.516747458205883,
      0.56955822054296,
      0.534721394319129,
      0.448928002483821,
      0.412178402931364,
      0.421807953057099,
      0.45434472972181,
      0.481507705615499,
      0.438819441369417,
      0.344737900129634,
      0.269928820502071,
      0.23241816398327,
      0.224250196199098,
      0.223724578669575,
      0.226941296739762,
      0.234156252888752,
      0.248531989964236,
      0.278330136376322,
      0.328448558778135,
      0.377254346484762,
      0.377060495293569,
      0.344123170149761,
      0.306932779887454,
      0.277860132281986,
      0.27443723037889,
      0.315857447349353,
      0.379322424218439,
      0.42945882085775,
      0.442944040521413,
      0.437432542209229,
      0.428771034425681,
      0.41539632553623,
      0.391510929154863,
      0.365607023037507,
      0.350814411204278,
      0.350292788312399,
      0.370060604070923,
      0.409828507682881,
      0.455448025465591,
      0.471452335112057,
      0.470706843965251,
      0.474760257031079,
      0.464077644023506,
      0.438742382796738,
      0.422815685317941,
      0.415430981143849,
      0.414792788637566,
      0.41936308033593,
      0.392258146184144,
      0.346999147864457,
      0.337093547825502,
      0.359014450841959,
      0.393712408701731,
      0.418756589673391,
      0.430166116287384,
      0.43694098305799,
      0.450452186455431,
      0.461737713915882,
      0.449543548255848,
      0.383116782940409,
      0.305842703417608,
      0.269012507640038,
      0.281459952537869,
      0.326547187107178,
      0.362951754143992,
      0.388502133530445,
      0.419039765079208,
      0.434047670062063,
      0.397784679875833,
      0.333914244622772,
      0.310604028588039,
      0.34445461410106,
      0.376269551198968,
      0.376815267518968,
      0.365867027269667,
      0.345214929150225,
      0.285946708049902,
      0.229131141162318,
      0.210698468810344,
      0.223450053065398,
      0.234804276920869,
      0.226069014395935,
      0.226228010919918,
      0.247845399696938,
      0.280994828449276,
      0.32058757428545,
      0.366838584933223,
      0.384296156032845,
      0.357197246814631,
      0.320329208101087,
      0.279386132208134,
      0.253572880194959,
      0.270722748949141,
      0.313180958068407,
      0.348229810493265,
      0.375802453529896,
      0.415961154931939,
      0.466543229245332,
      0.503938631830247,
      0.50397504868369,
      0.414244685599118,
      0.301138209368944,
      0.251622262754819,
      0.279297703775178,
      0.345498147143649,
      0.395218399331795,
      0.420084412979148,
      0.42621692558998,
      0.423246079157821,
      0.407095700908507,
      0.385524512080641,
      0.372024484856712,
      0.380979283529215,
      0.400277567668457,
      0.413866200705249,
      0.413174390012696,
      0.404734929796714,
      0.395721324050332,
      0.388956151582643,
      0.404542569812909,
      0.432984704540468,
      0.444644190389887,
      0.435409460544098,
      0.426046330003863,
      0.424913735470837,
      0.433334074571771,
      0.413847701829365,
      0.33134101432443,
      0.266400589613883,
      0.256656405473356,
      0.297468084224008,
      0.350066768880526,
      0.383618758239597,
      0.409831887725837,
      0.431085228784294,
      0.422834913143523,
      0.376753842572122,
      0.330419446343233,
      0.333715216751786,
      0.365395118548175,
      0.373656286070125,
      0.365375135232996,
      0.369463711228556,
      0.388197989388126,
      0.402625487405651,
      0.413076002158212,
      0.419317962235008,
      0.40735899863362,
      0.383876954734447,
      0.367437888484732,
      0.359826314988367,
      0.356720392946946,
      0.359881789537,
      0.375454542783216,
      0.388663426003459,
      0.375284608560843,
      0.339373357313909,
      0.295444817363627,
      0.25744351252122,
      0.261730792489765,
      0.310777757381758,
      0.347776448176222,
      0.3220459873056,
      0.270323890476749,
      0.245890780016664,
      0.247335268145056,
      0.249082356928457,
      0.256294489831536,
      0.290881050746437,
      0.331511717787264,
      0.326847850933577,
      0.292038043818049,
      0.273423706908931,
      0.276748566931472,
      0.275984598829286,
      0.246167874178539,
      0.217137702586184,
      0.211528651614593,
      0.220579915555892,
      0.228674411764705,
      0.226902983857029,
      0.201386630999141,
      0.159896333434979,
      0.141278858666044,
      0.154289490920326,
      0.190107483702864,
      0.213327032347945,
      0.209089204919794,
      0.19469714692704,
      0.175901917781095,
      0.159227510172638,
      0.155945433088904,
      0.256155669960525,
      0.360640448017761,
      0.400558289355891,
      0.393379583192292,
      0.395587140015555,
      0.406487183902178,
      0.429321593911562,
      0.471700288101873,
      0.541379014881276,
      0.590080484396302,
      0.525013463039123,
      0.417544042934228,
      0.371847328523477,
      0.377858746902849,
      0.413012887156686,
      0.439838932064565,
      0.389516630575862,
      0.295358020475621,
      0.230108069328876,
      0.204217487602085,
      0.202203029554618,
      0.205511738498787,
      0.212871378308506,
      0.222067437771911,
      0.236929026400553,
      0.267861813445425,
      0.318127607762539,
      0.363480848803584,
      0.359517661111692,
      0.324281812336247,
      0.286320662615161,
      0.262463366539835,
      0.274961672361154,
      0.33164087151325,
      0.394210256077855,
      0.423361029220352,
      0.406946668762838,
      0.389073078985537,
      0.400863755948846,
      0.425737558825132,
      0.424323266159711,
      0.391339753149972,
      0.358637752909153,
      0.330519984109381,
      0.310512360645206,
      0.31050737777207,
      0.343403397225585,
      0.392094353680257,
      0.432278646333706,
      0.458619273011732,
      0.453709352437405,
      0.424026973697971,
      0.411991954120495,
      0.428287984420082,
      0.463704206792975,
      0.494560533237863,
      0.460850646660344,
      0.381175072937316,
      0.341763328583302,
      0.344091048913619,
      0.362653383975352,
      0.373547237139422,
      0.374462067216088,
      0.374406874488731,
      0.384662097276358,
      0.404472843907137,
      0.417509867183904,
      0.378383789762719,
      0.310077840172348,
      0.267055034969118,
      0.257138386912063,
      0.283134714984869,
      0.330640119304886,
      0.385872491050715,
      0.435754543619915,
      0.457288455268712,
      0.430688735633989,
      0.371322244499973,
      0.325596674578094,
      0.318788016059575,
      0.329521265723418,
      0.333091942064762,
      0.335644911364136,
      0.337172770991986,
      0.309457415629308,
      0.268373041019456,
      0.249492283524446,
      0.25584038381522,
      0.267698514046096,
      0.26282162369551,
      0.258495924778818,
      0.265654390520974,
      0.285007682149232,
      0.319836644798257,
      0.368797526575554,
      0.390975014989846,
      0.366729819056872,
      0.337012929968772,
      0.306313377080341,
      0.283513135535589,
      0.283167873412121,
      0.291468063554524,
      0.290297395103818,
      0.299558142480528,
      0.339578988681956,
      0.408240100160765,
      0.474112563922871,
      0.485241286036319,
      0.395918200098873,
      0.294312295108455,
      0.255837388745841,
      0.272972603197912,
      0.309234108324709,
      0.333507321445008,
      0.352702395896577,
      0.375114440330596,
      0.39846571958821,
      0.397155753793255,
      0.374364189527676,
      0.349974671041731,
      0.340225565751252,
      0.346876431523966,
      0.374707190761124,
      0.410627825984554,
      0.420627734454292,
      0.400569435166326,
      0.384111796722476,
      0.395833277733265,
      0.415577408728024,
      0.410068315002293,
      0.393612141202862,
      0.394552325313041,
      0.413856499966645,
      0.441407790196072,
      0.43625107562804,
      0.360959786778481,
      0.288380085492705,
      0.255755641698572,
      0.262642082899008,
      0.303059973730843,
      0.360984142081002,
      0.42132401476821,
      0.455518329316973,
      0.446800921052332,
      0.403446784644518,
      0.352868872548535,
      0.325614237844587,
      0.328545506092232,
      0.332695682654027,
      0.331907719975428,
      0.344678423466798,
      0.37498584240789,
      0.403126061323286,
      0.41639172092244,
      0.4161592776542,
      0.396089732577036,
      0.374818254694275,
      0.367079073889024,
      0.357860286029592,
      0.344814861845049,
      0.34281816991069,
      0.359115561574372,
      0.372495692849586,
      0.357648684595211,
      0.320572894052343,
      0.275653348991204,
      0.235729096258454,
      0.235201768369349,
      0.280311326167024,
      0.322680057393196,
      0.321262808888431,
      0.295190022577287,
      0.281198135567451,
      0.280399148451373,
      0.278575892633237,
      0.285428969705015,
      0.317191554575579,
      0.354451780793346,
      0.343268641665507,
      0.298412333507829,
      0.274367268438422,
      0.287917138103608,
      0.312831715729712,
      0.303807324623852,
      0.277468544328744,
      0.256907004707089,
      0.233416876791539,
      0.213157159033795,
      0.202667303696026,
      0.17985991096255,
      0.145505086662943,
      0.132452594947666,
      0.148751926859802,
      0.183965849522047,
      0.202831157746607,
      0.194989104138336,
      0.179728968280429,
      0.164587104868589,
      0.15457878299025,
      0.154548389370666,
      0.252335758483031,
      0.3568553801551,
      0.399092742769392,
      0.386762807006831,
      0.37922041857771,
      0.386693163984479,
      0.41505813391047,
      0.469463363592004,
      0.55120208896542,
      0.602344893509143,
      0.527568879131185,
      0.410198943847304,
      0.356763474791087,
      0.357586739208513,
      0.390546451336557,
      0.415602283538005,
      0.36325037767362,
      0.270636760702807,
      0.210017502830094,
      0.190513816719927,
      0.192469573979607,
      0.195681933995219,
      0.202814970559344,
      0.209545952220546,
      0.220665258280975,
      0.251529606031872,
      0.306349675552645,
      0.354623168189137,
      0.351101007503129,
      0.32095653769436,
      0.290921912643046,
      0.27712948886137,
      0.305293721318261,
      0.364188632924753,
      0.412049606481696,
      0.418548790491009,
      0.380365884712635,
      0.348635881415202,
      0.365789976778155,
      0.423204054554691,
      0.462663061210966,
      0.436755265485311,
      0.374410486988554,
      0.320572946422153,
      0.296358327084594,
      0.29944861538818,
      0.322580142585741,
      0.357112934234216,
      0.397390660716195,
      0.44167225341754,
      0.463178211457647,
      0.443366584043735,
      0.425553129264763,
      0.44153215430003,
      0.490923553031532,
      0.540962365954037,
      0.516479457359069,
      0.406914680597983,
      0.327518996254104,
      0.310373832366599,
      0.329816549325204,
      0.340503206854756,
      0.327437273680132,
      0.313902577017201,
      0.315246390004933,
      0.344001230021867,
      0.382279359983245,
      0.357490035250907,
      0.293388534001551,
      0.255845333211515,
      0.247950644395074,
      0.264388082668945,
      0.301606867283139,
      0.351358827096789,
      0.393173495677707,
      0.411008189203398,
      0.402048501517842,
      0.378041207003336,
      0.349077643775513,
      0.322474489862212,
      0.302020009424826,
      0.29015626645738,
      0.290400333247282,
      0.290092389687328,
      0.259022626190039,
      0.222523196544716,
      0.215964353320964,
      0.234446386942602,
      0.245201624934327,
      0.233272437900835,
      0.226466102307866,
      0.233536215905924,
      0.25495344848673,
      0.2939641244914,
      0.346531634583311,
      0.36761630513534,
      0.347786509332855,
      0.32805505807429,
      0.304053319763552,
      0.283671802576939,
      0.29009498836875,
      0.307167689304486,
      0.299609367359375,
      0.276793392684522,
      0.280024623568204,
      0.335192565158215,
      0.421056017104172,
      0.453282325248892,
      0.378802989462039,
      0.305120355565661,
      0.286973270059436,
      0.291974332617573,
      0.292321309810799,
      0.301773353497242,
      0.336702458204635,
      0.371709902841004,
      0.386207429753309,
      0.380719868311013,
      0.365486240484533,
      0.345366148242497,
      0.33610629660444,
      0.350082600128976,
      0.393104224091866,
      0.437029071632442,
      0.433493502602247,
      0.397918339067715,
      0.385812791247871,
      0.401941475987328,
      0.406932391765574,
      0.370346399186149,
      0.32794449317559,
      0.319456773983299,
      0.350734355840263,
      0.407412040304729,
      0.417972012697937,
      0.341628286613576,
      0.273957258527434,
      0.250230189331544,
      0.257351522433035,
      0.289048939434753,
      0.339223014969687,
      0.387870198655673,
      0.410762947596382,
      0.409710084233316,
      0.395745257422138,
      0.37281966068818,
      0.342800052930218,
      0.314560446801369,
      0.291959903870142,
      0.28751757039063,
      0.31500206361874,
      0.36671309393823,
      0.409794373504307,
      0.42424788681504,
      0.417283182142398,
      0.391962740621895,
      0.37315219779798,
      0.375174798763307,
      0.36565821181177,
      0.339714821622656,
      0.327342538473089,
      0.34303404987714,
      0.359986757155969,
      0.348730235709098,
      0.318457542804143,
      0.280158363990824,
      0.239839332046871,
      0.230948384132785,
      0.265472112839196,
      0.298794020265869,
      0.289347253295623,
      0.263879939465872,
      0.26458568931973,
      0.290414874622445,
      0.314207224216152,
      0.327003070052821,
      0.348325594472169,
      0.367187698095528,
      0.338266682603684,
      0.280975619589229,
      0.252641546009496,
      0.271832008616717,
      0.309936350425089,
      0.305781431748509,
      0.2708516466976,
      0.238163415460106,
      0.209685903249114,
      0.188158207057027,
      0.175501314697641,
      0.157165705273854,
      0.132327413951193,
      0.124091050002365,
      0.139324997957417,
      0.17027976704798,
      0.186106542270583,
      0.178307589109706,
      0.164563071034214,
      0.152220746318288,
      0.143550805579111,
      0.159113345291709,
      0.257244657111244,
      0.360631092071045,
      0.406256369266522,
      0.400227344627677,
      0.392402650139868,
      0.395963776865368,
      0.418458373911323,
      0.461121402431195,
      0.53034074390832,
      0.5868537658637,
      0.529816804016293,
      0.415089081479009,
      0.358425762725293,
      0.358227837536671,
      0.389388654844778,
      0.402038692734139,
      0.332551899224258,
      0.240631029293805,
      0.193557811350861,
      0.186335775367038,
      0.18862015674499,
      0.18436167550877,
      0.186326736077913,
      0.19115144265548,
      0.202810800712449,
      0.235697412059398,
      0.294132755175199,
      0.346775871217051,
      0.347288323343762,
      0.320975700775616,
      0.296358744175782,
      0.296977214498635,
      0.347685151107546,
      0.411189583502796,
      0.443052918967829,
      0.436914999881413,
      0.406097563285067,
      0.381216464753542,
      0.387588198343967,
      0.436431734793008,
      0.493012397877224,
      0.49092221142474,
      0.435690831189456,
      0.381892809158064,
      0.355373675414418,
      0.348882703317453,
      0.350696391402212,
      0.357716794305784,
      0.377251042284523,
      0.416919734771241,
      0.449474836518415,
      0.440460007317391,
      0.421546789050993,
      0.427058665527541,
      0.46282621915992,
      0.502546989600564,
      0.485846631062575,
      0.397903008648055,
      0.337675143932888,
      0.331588945255188,
      0.351015980793431,
      0.351407931248324,
      0.328296212148979,
      0.308343334041469,
      0.299978936232892,
      0.323441827843798,
      0.364053559841495,
      0.33640329934184,
      0.275351133918656,
      0.254170341018145,
      0.268868018881221,
      0.297200222178178,
      0.328254511081681,
      0.3625701309853,
      0.381652712396597,
      0.375164890154228,
      0.356169089419638,
      0.353986552506831,
      0.363812819209277,
      0.355463691802024,
      0.32448271255139,
      0.295735763010893,
      0.283483882071072,
      0.270139750878024,
      0.229370809426564,
      0.194033282667642,
      0.192122414124224,
      0.212561661557743,
      0.220833926533856,
      0.208708015614418,
      0.202865760933268,
      0.209497574230269,
      0.23226785052945,
      0.275781885519821,
      0.33347980492077,
      0.356009803830072,
      0.33781986798937,
      0.315385847665752,
      0.287677647851814,
      0.267025635680311,
      0.278652854441402,
      0.309096586721738,
      0.321604880336877,
      0.305412017657821,
      0.296367462033798,
      0.328882262901568,
      0.393905011871769,
      0.419415756846929,
      0.358301584982003,
      0.301225000004436,
      0.288027718430251,
      0.289581450343551,
      0.283496915041731,
      0.296307346396884,
      0.3532921452543,
      0.410864800601041,
      0.412934869781798,
      0.382260711739365,
      0.368362209599044,
      0.359178135828323,
      0.358304900916812,
      0.385055782900573,
      0.430082597223517,
      0.446580834463694,
      0.418554528952333,
      0.395930795087051,
      0.401116472755195,
      0.415069544828435,
      0.409200264587975,
      0.36422921731279,
      0.312737444503896,
      0.289281736300979,
      0.309161887309143,
      0.368583149982961,
      0.383437451688119,
      0.309466921379418,
      0.255107143616936,
      0.253594303751305,
      0.281995518247019,
      0.318159996126189,
      0.356838286547219,
      0.38446438594324,
      0.381090873042447,
      0.361576412975056,
      0.356227749086148,
      0.371564726483222,
      0.372919559757221,
      0.342891143550481,
      0.302213604644068,
      0.281885847333264,
      0.294739773651781,
      0.334904418357723,
      0.377164847345859,
      0.39966536612742,
      0.398529752637298,
      0.373639586376497,
      0.349703174159708,
      0.346622660360474,
      0.34211567158621,
      0.324240060640227,
      0.314493797817011,
      0.329573003409355,
      0.349581665220076,
      0.345710251917258,
      0.322898242878667,
      0.29150999212108,
      0.259493184510916,
      0.253817784577087,
      0.280440003630642,
      0.297888054367454,
      0.272109551201606,
      0.238884576881467,
      0.241545316597443,
      0.27731438637586,
      0.318439578180815,
      0.343154038617926,
      0.362435233987676,
      0.367024091653871,
      0.328744228516621,
      0.278587081386716,
      0.261049108749076,
      0.279319719032773,
      0.30029170475348,
      0.284696666081616,
      0.250078812766607,
      0.216264634038864,
      0.188632029114635,
      0.173364079014153,
      0.164584822966985,
      0.147662981455996,
      0.125182446930787,
      0.119131044644313,
      0.135880389677372,
      0.167542165606246,
      0.180524122967139,
      0.167720449634542,
      0.151427956014244,
      0.14044126577622,
      0.133470708887178,
      0.158282554148353,
      0.259035929795034,
      0.364499592359617,
      0.413787906766901,
      0.416186117310429,
      0.413211497854912,
      0.414066449942909,
      0.428284236935947,
      0.455380843358461,
      0.506980695809711,
      0.562715322254371,
      0.522696402724602,
      0.416912191980073,
      0.360809609831866,
      0.358442147742269,
      0.389568537914981,
      0.401922420831021,
      0.323053057762507,
      0.222792204096673,
      0.176358354212427,
      0.17413549935873,
      0.180124126922071,
      0.175966961999575,
      0.175640665876335,
      0.179916273018675,
      0.193188404144036,
      0.226489225978342,
      0.283244603017276,
      0.334897652407789,
      0.338303345747728,
      0.315330001373506,
      0.29177175431994,
      0.30127614194375,
      0.373108824712831,
      0.446829458857063,
      0.471252900250152,
      0.452920346486474,
      0.418560952496101,
      0.401511155439062,
      0.41222326082582,
      0.444062778560472,
      0.474711158762457,
      0.4778249839987,
      0.451949146854061,
      0.419472780727204,
      0.399887112520792,
      0.392397696190416,
      0.389024868884878,
      0.383370868789141,
      0.380385261648941,
      0.405304982884134,
      0.44418036147781,
      0.447366229451415,
      0.423346486024938,
      0.407410049736693,
      0.414826508230728,
      0.430009486634104,
      0.416395707680804,
      0.364505575963204,
      0.325974072895072,
      0.315285743613975,
      0.330019189868485,
      0.349141744837967,
      0.340988878349485,
      0.31307281424576,
      0.29510777301824,
      0.321414755572695,
      0.363566308167699,
      0.322112804334444,
      0.254055386495348,
      0.252918679582764,
      0.309563213819928,
      0.36399541576277,
      0.380267774479402,
      0.387141268964054,
      0.383691387580503,
      0.352048188231403,
      0.30836767782307,
      0.311892332986819,
      0.36569874932838,
      0.400151457631773,
      0.377326029476195,
      0.33538576057211,
      0.309667188164307,
      0.280943988093437,
      0.223202922741179,
      0.179951086986661,
      0.176758980541504,
      0.196909067817608,
      0.204165813805971,
      0.192919163464712,
      0.189270713559212,
      0.198889915134095,
      0.225684657403088,
      0.272031761275308,
      0.328236518989815,
      0.345657098293091,
      0.325357713018055,
      0.300609035689136,
      0.273305111479805,
      0.25644083007347,
      0.267262349239287,
      0.29565637209363,
      0.320486401700837,
      0.329642552466095,
      0.334787519118503,
      0.355087876364359,
      0.393493774932501,
      0.405987798558904,
      0.345761054910474,
      0.277769469700735,
      0.257624524098215,
      0.277407259726599,
      0.306258100690451,
      0.32886081252713,
      0.369912650566509,
      0.427565517274762,
      0.446683516050021,
      0.421180667981668,
      0.398042938920201,
      0.383114936369767,
      0.379671017812687,
      0.402948516789687,
      0.439348348960791,
      0.444626344543172,
      0.41420598399182,
      0.391082584762203,
      0.38656646991813,
      0.394298066255044,
      0.403302600275136,
      0.382114990581548,
      0.337168075621146,
      0.305515855695763,
      0.319980513607009,
      0.378601346681061,
      0.379724304079673,
      0.28733495462936,
      0.239392424129954,
      0.272879426531737,
      0.342900959997583,
      0.385647048517017,
      0.398814488219356,
      0.400008771817169,
      0.372668103195975,
      0.325451317896243,
      0.303480799819173,
      0.342373599145078,
      0.393080553664472,
      0.389096979664266,
      0.342874218918673,
      0.310397973017079,
      0.309112527390204,
      0.326505396287435,
      0.347325688185767,
      0.36473187422939,
      0.370958685445437,
      0.352956605768505,
      0.328631892372586,
      0.31910943967361,
      0.316479932502876,
      0.30728704787124,
      0.301244511463552,
      0.313581663779641,
      0.334967103858698,
      0.339968021476695,
      0.32380121484718,
      0.294446222058035,
      0.268300903545437,
      0.270987626629486,
      0.300212105535903,
      0.310975337936317,
      0.277447009830792,
      0.239965114264672,
      0.233257488318659,
      0.248543479141379,
      0.269188820063554,
      0.292695103639388,
      0.325403251323678,
      0.34295854336114,
      0.312749641514712,
      0.273175162251337,
      0.263414186579246,
      0.273329184444877,
      0.267542757396672,
      0.235100054876319,
      0.206404819439761,
      0.189259637066813,
      0.177384785628088,
      0.16826603063562,
      0.159256170628217,
      0.140055581213227,
      0.113907624357549,
      0.105346884369498,
      0.123602066505129,
      0.160726452514713,
      0.177483784785821,
      0.164588330191608,
      0.147873085540376,
      0.135326173540123,
      0.126238104148802,
      0.153300078134185,
      0.256612078587412,
      0.367008140781486,
      0.423998275283567,
      0.441439930570688,
      0.448903538271188,
      0.442290942256661,
      0.43720494674617,
      0.447701292977767,
      0.491637986749031,
      0.547725205552136,
      0.517011387227282,
      0.424136014746023,
      0.375012568835018,
      0.372036599371642,
      0.400287398455362,
      0.408775272569392,
      0.324055859472322,
      0.219807272481826,
      0.173980441850929,
      0.173970251751112,
      0.184642727367535,
      0.184712422895096,
      0.182841111428227,
      0.183540559106695,
      0.195780239396459,
      0.230989188320325,
      0.290291777259503,
      0.34318586191874,
      0.345590616617255,
      0.322693316077943,
      0.297532772504145,
      0.298592158983356,
      0.361469980976429,
      0.432609810681541,
      0.464303598364329,
      0.466083050093396,
      0.447981132650737,
      0.42788986238455,
      0.419541622885423,
      0.420078517013495,
      0.412043785157648,
      0.402610828186696,
      0.398921944113878,
      0.397393112444203,
      0.405778307775249,
      0.419863112624823,
      0.431834796478594,
      0.442121365559001,
      0.451924137307285,
      0.469860990917702,
      0.490815871012788,
      0.484811966224388,
      0.453357154444386,
      0.423399248401747,
      0.405718299148387,
      0.392988376168355,
      0.383894709532357,
      0.36627017323156,
      0.340117599168486,
      0.320577271706054,
      0.3329452952042,
      0.366277606694251,
      0.360736451437499,
      0.319641245925581,
      0.29360672296085,
      0.326387217009458,
      0.376146297560945,
      0.32969684171565,
      0.256569503078976,
      0.271828048825929,
      0.363385157821437,
      0.433780586601657,
      0.424998204224197,
      0.396379339096407,
      0.373465471061354,
      0.336770418373995,
      0.290909133551568,
      0.294994595455082,
      0.363088671733266,
      0.419907763768366,
      0.406347948851229,
      0.365687898869102,
      0.344644651700451,
      0.315668961183098,
      0.240410197968082,
      0.18024689719161,
      0.170630934322206,
      0.193212055450489,
      0.207656733473816,
      0.198373844999717,
      0.193092075604502,
      0.202737360091059,
      0.232349618116819,
      0.281038759115513,
      0.336338882494175,
      0.348617469748518,
      0.322058447853823,
      0.294535559272453,
      0.269067024576607,
      0.262892835160721,
      0.293838021250315,
      0.348601504925451,
      0.38996225484422,
      0.397025482208965,
      0.392826111962938,
      0.405303861043614,
      0.444839955586756,
      0.458091140072818,
      0.377655223835141,
      0.288512831379783,
      0.291765167224981,
      0.370506159177199,
      0.437090716867705,
      0.433458983277892,
      0.414537323886027,
      0.423152903178313,
      0.432298457614753,
      0.428902884744498,
      0.424064371632435,
      0.423341639176476,
      0.426060265409564,
      0.431525532637874,
      0.435290613197972,
      0.433947405368935,
      0.424225850974811,
      0.400489424420879,
      0.376346337442779,
      0.376042494219541,
      0.398659947123796,
      0.398426664584851,
      0.361517445122893,
      0.327314815756154,
      0.336044853178817,
      0.386867157576138,
      0.379107611864627,
      0.280375984198626,
      0.239937976943387,
      0.301895141878833,
      0.403055101230059,
      0.43972145759037,
      0.416749679586071,
      0.390482265359831,
      0.355477754081169,
      0.30733988488325,
      0.285764319353224,
      0.337897628678094,
      0.416113732756343,
      0.426737936139743,
      0.376472981809244,
      0.341409437585971,
      0.343205611494232,
      0.355551643308032,
      0.360088315747529,
      0.368526055378205,
      0.376955418244859,
      0.361975299845841,
      0.336879879836889,
      0.319343069438956,
      0.305904678712215,
      0.295690954943974,
      0.297885237582101,
      0.31822753878724,
      0.341878121480054,
      0.346047715840912,
      0.330012179195352,
      0.29869555497218,
      0.266226626223513,
      0.273896982226951,
      0.313750670105455,
      0.332088305520148,
      0.305910334340645,
      0.273620944414363,
      0.260634591388208,
      0.254323722503558,
      0.249545824585505,
      0.263576228001292,
      0.303170066357738,
      0.329602089415749,
      0.304874115816041,
      0.271099861333548,
      0.265118452303258,
      0.270749589704539,
      0.253359710410416,
      0.21296443478815,
      0.188323876625367,
      0.184892183613584,
      0.185012472690093,
      0.178350113639682,
      0.168209728950627,
      0.147492978772447,
      0.119188389164523,
      0.109483113312507,
      0.127448198440427,
      0.165374530261423,
      0.185664033035529,
      0.178634343999236,
      0.166282977982358,
      0.152516441062692,
      0.138057863259489,
      0.153214137317615,
      0.258743414951413,
      0.373612533074016,
      0.444268014030892,
      0.492987495734053,
      0.526279483965211,
      0.514479832640715,
      0.478766328714396,
      0.460944021460891,
      0.4910338020727,
      0.536959586670493,
      0.507903788245367,
      0.448434139793826,
      0.436841573503229,
      0.448972631893958,
      0.467103297709797,
      0.45462494229157,
      0.364787949068027,
      0.267886930409274,
      0.231283371172467,
      0.236556817952591,
      0.250201774457251,
      0.252310098533788,
      0.248552107044087,
      0.245176891138297,
      0.253747018900414,
      0.290074908310116,
      0.356373352541975,
      0.419140167356894,
      0.420108622731491,
      0.391723638554424,
      0.362151341337177,
      0.340120972743038,
      0.343920561276334,
      0.368161077994504,
      0.398390234220563,
      0.439601900783652,
      0.462720240846287,
      0.444684539326455,
      0.410518274672839,
      0.391089834294674,
      0.378426765887941,
      0.362431520921975,
      0.351265253370209,
      0.342539842929789,
      0.352664468236045,
      0.385568716157688,
      0.425341075804861,
      0.455448359166308,
      0.48218126215461,
      0.50745142182048,
      0.524581392235687,
      0.528946957955449,
      0.51430338357989,
      0.486289403661347,
      0.452286750799625,
      0.419047826582299,
      0.388887691108969,
      0.350845250791612,
      0.318694750057383,
      0.310587037684915,
      0.3413813935469,
      0.384320259904624,
      0.382189594043022,
      0.350714625431298,
      0.336890167773975,
      0.371848542800102,
      0.414177766331982,
      0.370997454519126,
      0.301452497889351,
      0.310436563191346,
      0.389441126747377,
      0.451091416934541,
      0.438054390356191,
      0.403697675911289,
      0.37969103028094,
      0.354978183105343,
      0.32361869047536,
      0.323558914504371,
      0.37723309737703,
      0.434154754110702,
      0.438213528683154,
      0.420938495521767,
      0.41589489894117,
      0.391872659478179,
      0.310512915926662,
      0.240135601504004,
      0.22228407200497,
      0.243902520579746,
      0.264688951869978,
      0.255505480008773,
      0.24822016750628,
      0.25543112932304,
      0.280889240038093,
      0.327317693849817,
      0.389901010028812,
      0.411225526174965,
      0.381884884985985,
      0.350518254506749,
      0.321031134511196,
      0.307876292561585,
      0.32986072544081,
      0.373276345758075,
      0.396141011556555,
      0.385532837274134,
      0.378986210454387,
      0.405900317888187,
      0.466263732121968,
      0.493684576694349,
      0.411000057842341,
      0.3148417563746,
      0.315980290726209,
      0.390814402529278,
      0.449489320875407,
      0.450695319868877,
      0.439690189458354,
      0.422138534886059,
      0.394582210481278,
      0.38828617158871,
      0.40210919161326,
      0.417971781562977,
      0.433092582865157,
      0.433437741143847,
      0.414307588545374,
      0.40239774410794,
      0.410753076474719,
      0.410368615651531,
      0.402423709583016,
      0.413989955527272,
      0.436437951987025,
      0.424833164967768,
      0.381867697944208,
      0.352607213597281,
      0.364318329902336,
      0.408913426524031,
      0.405202046940189,
      0.31944049738224,
      0.280598844334704,
      0.333751188861239,
      0.425324102917491,
      0.458411605806853,
      0.43261371435183,
      0.401838998746722,
      0.371775661074654,
      0.339766295184891,
      0.324726892700677,
      0.362273186215549,
      0.430467175514597,
      0.453362228893568,
      0.425856917693101,
      0.408445337320815,
      0.41486631920194,
      0.422023490128378,
      0.423490565240831,
      0.436702316103179,
      0.438900363726829,
      0.415235307431574,
      0.390920166920694,
      0.37373325832543,
      0.354974143065329,
      0.341783470476383,
      0.351186338233503,
      0.386328168637266,
      0.420206326145401,
      0.419031825723276,
      0.395244404539279,
      0.361069465445773,
      0.315873946338511,
      0.296782848209886,
      0.317269259926346,
      0.340340571059862,
      0.329993540032882,
      0.303279111186251,
      0.291961492079521,
      0.292450731235808,
      0.285810433625709,
      0.281803734268273,
      0.309725143036915,
      0.344382535810749,
      0.329074554406783,
      0.289719713597226,
      0.275391356259361,
      0.284285943838732,
      0.286126396517343,
      0.262028543735533,
      0.243254062140749,
      0.246923754182985,
      0.254734892146583,
      0.250244023307221,
      0.238418471213962,
      0.215995878130377,
      0.180759117379337,
      0.164136208082061,
      0.180688011098119,
      0.224638966750914,
      0.252325724069207,
      0.250936175397566,
      0.246020445369253,
      0.230293484155898,
      0.20331309739933,
      0.152196610630473,
      0.260262975525635,
      0.378445830483251,
      0.462123697442317,
      0.544904788893757,
      0.619528311605061,
      0.627950667093432,
      0.578315784710398,
      0.526075243141464,
      0.521883933442525,
      0.541483478022663,
      0.509306744796989,
      0.490173695840568,
      0.527229503365258,
      0.557311850232318,
      0.554020990397777,
      0.511723300450327,
      0.439495070256017,
      0.379225577342496,
      0.366580394337633,
      0.38154357010737,
      0.397103234758621,
      0.399343030582628,
      0.393169691248845,
      0.385662508231619,
      0.385187059104885,
      0.413975111709791,
      0.479890870814922,
      0.555883619466375,
      0.568415069861755,
      0.547399289598387,
      0.523290452766811,
      0.489523962611281,
      0.442231485053701,
      0.419968940955649,
      0.435874319712938,
      0.477559872839117,
      0.504937277021891,
      0.495011943829685,
      0.466200005006045,
      0.444050635337156,
      0.431462638495433,
      0.413558596520772,
      0.403064372399871,
      0.394526490170234,
      0.39207405597705,
      0.406582851737256,
      0.441445450898502,
      0.472746862727913,
      0.493003285042032,
      0.524854281332214,
      0.562666669213685,
      0.578052807604461,
      0.570097775151801,
      0.553950259344825,
      0.535748323841032,
      0.516455461546241,
      0.466154981054476,
      0.378922547565457,
      0.327203690439706,
      0.333768745087593,
      0.384357344972585,
      0.430207135372909,
      0.433805932051618,
      0.428578551954814,
      0.444802603101176,
      0.479685233846974,
      0.496017893700587,
      0.46524488141215,
      0.418949971706169,
      0.416890456140316,
      0.463041747452059,
      0.507791590336148,
      0.505353452923861,
      0.484844332077243,
      0.470784570179186,
      0.46224446745585,
      0.445245456694131,
      0.42895956032582,
      0.44341397135842,
      0.488902123090499,
      0.521011811514498,
      0.530361729904322,
      0.527380994262402,
      0.4968521791177,
      0.420879420238719,
      0.357697937958125,
      0.345354643919106,
      0.376158621656044,
      0.404218725453865,
      0.388974293167569,
      0.373829813847546,
      0.372818751709277,
      0.388796168358278,
      0.432878738207923,
      0.50871083940841,
      0.546364528747756,
      0.522460727720991,
      0.497435143451894,
      0.466744892088827,
      0.429573540058268,
      0.411034200938933,
      0.40506917990401,
      0.379405858327068,
      0.348984904453081,
      0.353449997817184,
      0.402432217158514,
      0.466550282546393,
      0.493587631994122,
      0.440019069396781,
      0.368373340972603,
      0.342806290143056,
      0.353407844073992,
      0.369291075340173,
      0.385832227282991,
      0.415455261961613,
      0.433905849868346,
      0.435874210277117,
      0.439397900966091,
      0.442642863146263,
      0.433758601226275,
      0.430229754398089,
      0.433633975114489,
      0.441340782577659,
      0.460593577452967,
      0.48002273548851,
      0.47350065081089,
      0.461994930996988,
      0.47519821296514,
      0.494552985652114,
      0.476532794187225,
      0.44079659502139,
      0.433276658209162,
      0.46085680546739,
      0.500439520184372,
      0.506806671137295,
      0.448957891447989,
      0.40517838158569,
      0.425088340235744,
      0.48692794915617,
      0.520973098996038,
      0.512516065202759,
      0.494659860172821,
      0.476012772200778,
      0.458709335695364,
      0.445516058957447,
      0.450602688750546,
      0.48202678055496,
      0.51170290269076,
      0.517344448989859,
      0.517795449098765,
      0.518463189910157,
      0.51907695873217,
      0.530237550673388,
      0.559609479317084,
      0.567670570624384,
      0.549613277652301,
      0.533933227301843,
      0.518103081530675,
      0.494137762692367,
      0.474636627439408,
      0.482239299414831,
      0.520024686298708,
      0.560515782407143,
      0.565740998792737,
      0.549089381576835,
      0.521799989266518,
      0.469896158981234,
      0.414774401567761,
      0.401861228022226,
      0.418776630891816,
      0.408333454155797,
      0.369760031838279,
      0.354980770744391,
      0.376562417798468,
      0.392307818981129,
      0.381012941571936,
      0.38855803618404,
      0.421035864025676,
      0.423893745016348,
      0.388854442939399,
      0.361658712679857,
      0.366665557790726,
      0.392247240131914,
      0.389011410572859,
      0.365423235373324,
      0.36834059650645,
      0.392941478622502,
      0.404762755407016,
      0.398504930942325,
      0.370680433860614,
      0.314493773846846,
      0.283618933867775,
      0.30298444988413,
      0.363599909731179,
      0.403017915791329,
      0.398570629357058,
      0.387914533942038,
      0.362494123849368,
      0.322815240585153,
      0.147268141020808,
      0.258568944761681,
      0.382036574942429,
      0.467385624646894,
      0.546183118360425,
      0.638906524509449,
      0.698759871516449,
      0.699215683028364,
      0.649887850300695,
      0.603116173089886,
      0.577161486646019,
      0.528066788659029,
      0.507014056510795,
      0.550822846289205,
      0.600045030869589,
      0.611914598792668,
      0.567482425528233,
      0.537514408831899,
      0.559753161472091,
      0.608545608147741,
      0.646824708431871,
      0.666166038300646,
      0.678627066989692,
      0.679835824749091,
      0.655911987300217,
      0.62151000681616,
      0.624015642203288,
      0.674199931421917,
      0.74367563513919,
      0.765133669028052,
      0.770525345194443,
      0.77505060954294,
      0.757711264947495,
      0.682967043321921,
      0.605150865204572,
      0.580828236606214,
      0.592257232154723,
      0.577167824534695,
      0.537446605169131,
      0.513702259472275,
      0.515417662513878,
      0.529745865233695,
      0.545875984644956,
      0.562168908196256,
      0.553001962870414,
      0.530665988006234,
      0.528793502376947,
      0.571576520944928,
      0.616843943849074,
      0.626875197340977,
      0.640428240115961,
      0.658562034033048,
      0.654616587394002,
      0.649522633123061,
      0.658388821870862,
      0.673055369635078,
      0.686804590812356,
      0.662563176536584,
      0.560922282718265,
      0.47476147433584,
      0.454823004391219,
      0.494476874554712,
      0.549262695386139,
      0.580086144840628,
      0.608703248827116,
      0.646722334119762,
      0.674838091569116,
      0.668995243861304,
      0.655431170395815,
      0.636870273973909,
      0.628675095407786,
      0.643498717604905,
      0.669684403842104,
      0.680489681576354,
      0.68161004279149,
      0.68170438862314,
      0.688025654074297,
      0.68621163031172,
      0.656297178082053,
      0.61570619245385,
      0.612994283432868,
      0.647003383112155,
      0.679704025458315,
      0.690336328433028,
      0.683177677993553,
      0.651301282950285,
      0.608584615810687,
      0.593718922606385,
      0.628322929542019,
      0.671681216392003,
      0.657397314710853,
      0.635384985346882,
      0.624617869853862,
      0.619825547471749,
      0.633714257136764,
      0.693121173303508,
      0.744153009249577,
      0.744415847570963,
      0.744900386859416,
      0.72397724373107,
      0.657199523111811,
      0.587042344901383,
      0.542301920054796,
      0.508741291241216,
      0.484144111370238,
      0.485615474040762,
      0.522607314894385,
      0.566718823131446,
      0.588687198765981,
      0.57864409743034,
      0.560422082272264,
      0.542228267320936,
      0.512225337235182,
      0.474489976181626,
      0.459145989495479,
      0.478970798132793,
      0.508266039079687,
      0.549604661235277,
      0.594907721501775,
      0.6185222691444,
      0.597839163068725,
      0.566876312219842,
      0.55849868570089,
      0.58840300268503,
      0.644665439209589,
      0.674062244044931,
      0.64624693995398,
      0.605197124244732,
      0.594899636030239,
      0.608316060201375,
      0.605435054046043,
      0.596682660718838,
      0.614385328468555,
      0.65298633983526,
      0.685989240390548,
      0.700063298501647,
      0.668534887997082,
      0.625903700698558,
      0.621721374771294,
      0.656785155191331,
      0.688634684570223,
      0.698900780242908,
      0.696353800344465,
      0.684931601004866,
      0.683680340165969,
      0.689128091594093,
      0.670337790975233,
      0.638526814705924,
      0.639660400793087,
      0.658612082023484,
      0.669123998034973,
      0.663163176921851,
      0.656075582202357,
      0.668198137083989,
      0.708449870699015,
      0.744325063243934,
      0.755452107222712,
      0.761005515438524,
      0.756384914922818,
      0.726404103670423,
      0.693333049654796,
      0.693817562727651,
      0.726500632259068,
      0.758549894738138,
      0.767870531397467,
      0.774763253608589,
      0.775516385382611,
      0.738359917829369,
      0.664618505455567,
      0.626386570794898,
      0.64666345190135,
      0.652815140214403,
      0.614310664620487,
      0.593431661170904,
      0.621492979783495,
      0.648924923334303,
      0.630653088357736,
      0.616039176613596,
      0.634392833035397,
      0.658496230780035,
      0.64924600440266,
      0.620627948618711,
      0.612165076769867,
      0.649430180708414,
      0.670001257053642,
      0.640595636412116,
      0.633110130005256,
      0.67104323882279,
      0.694891511481615,
      0.688262210310226,
      0.669097040739071,
      0.602122457698256,
      0.548380984810671,
      0.562880595816908,
      0.645269471595449,
      0.692524804434988,
      0.669238619439311,
      0.65008877178291,
      0.619659657228094,
      0.563431570242804,
      0.150875806987791,
      0.267633898855514,
      0.394447757708322,
      0.457902491994606,
      0.488141470978376,
      0.556989631585673,
      0.648962959703845,
      0.710123650399344,
      0.698515633612212,
      0.652767120160812,
      0.61406201585903,
      0.548359683711184,
      0.493603333986264,
      0.519406669381633,
      0.60123689803124,
      0.672826260768707,
      0.64179490952044,
      0.574772144760119,
      0.598219170823275,
      0.670765966489674,
      0.725148708073453,
      0.744665474189461,
      0.753069084056284,
      0.76995067548191,
      0.77289138192112,
      0.753068676541786,
      0.737479574774845,
      0.755332329657629,
      0.796538575475359,
      0.809817885108236,
      0.812204344014962,
      0.810586139774026,
      0.789147051381243,
      0.726325390026338,
      0.655403446568985,
      0.620311909386249,
      0.613173748357656,
      0.581296853285454,
      0.534492025953088,
      0.515816744620444,
      0.537744644361119,
      0.580256974638047,
      0.608127497776767,
      0.607652071210206,
      0.600443875233259,
      0.610338934423162,
      0.627907212098123,
      0.641275151974185,
      0.645666689254026,
      0.651002596929349,
      0.665362872528622,
      0.663174468277321,
      0.634381483746966,
      0.623178906222732,
      0.647858073496706,
      0.691305526939578,
      0.72857805721684,
      0.716537395911629,
      0.624442416093944,
      0.550561853560195,
      0.542798311899337,
      0.587522012338554,
      0.627470601332461,
      0.643231676250126,
      0.672974977615686,
      0.71635728780733,
      0.743996538576766,
      0.729934883070067,
      0.685121200683637,
      0.664185616554841,
      0.679315107463336,
      0.700916511296598,
      0.705995350407552,
      0.713730736817438,
      0.739832198011158,
      0.754961678887553,
      0.759139548582875,
      0.768285944134082,
      0.763040127772386,
      0.706945681364881,
      0.649833308469573,
      0.65444301092248,
      0.704512234961634,
      0.750859917955819,
      0.755011209352609,
      0.699134256648215,
      0.660411703639273,
      0.674470276625981,
      0.724713262385496,
      0.759533615336084,
      0.756854504597004,
      0.742936882205909,
      0.716151116362422,
      0.702212235886575,
      0.724239665951105,
      0.779133999907839,
      0.801423240738922,
      0.797980605044445,
      0.798165441154914,
      0.765419428263244,
      0.699164603942016,
      0.639285741523191,
      0.579893362077494,
      0.525668252611963,
      0.506225535002167,
      0.530067838277182,
      0.579984309071363,
      0.6176263784598,
      0.615584914113654,
      0.590534958783168,
      0.58041645597871,
      0.575124945802055,
      0.556623542454057,
      0.526929841022508,
      0.509343907971753,
      0.515952056939834,
      0.540592223396955,
      0.58903905287513,
      0.636181178498224,
      0.646494645858484,
      0.628317356360406,
      0.62052962083342,
      0.631168742266812,
      0.657541100444018,
      0.697225128222329,
      0.722357807243416,
      0.702392275483654,
      0.66573992461966,
      0.650945784249546,
      0.655340363217456,
      0.652721306444215,
      0.651483815757687,
      0.674704798037752,
      0.72356065894494,
      0.764884341958316,
      0.749189069999403,
      0.698305416732434,
      0.681753189165294,
      0.691236215718128,
      0.700100951597415,
      0.708516800591587,
      0.735529008792042,
      0.754520551535492,
      0.74770743426964,
      0.744763858263552,
      0.755269576236909,
      0.737202969121867,
      0.681824285534449,
      0.651569320012861,
      0.671301547418293,
      0.712245067086999,
      0.733187898757574,
      0.722336968439835,
      0.708747273137832,
      0.732836006455713,
      0.772211897805102,
      0.7943576537392,
      0.809637259432044,
      0.814195618972456,
      0.789685419269891,
      0.760284963564231,
      0.757443833403845,
      0.784074209382318,
      0.809647089697158,
      0.817236956268431,
      0.817862023036761,
      0.80829166903434,
      0.769618872492179,
      0.72336751742496,
      0.705113917053182,
      0.709069263209029,
      0.706046434332963,
      0.69947919177887,
      0.711370428386496,
      0.740623078398528,
      0.764776703288904,
      0.765031966384146,
      0.751147673690415,
      0.719929208828533,
      0.685925001154407,
      0.66141137137391,
      0.65662871547652,
      0.673372417985717,
      0.700804876600754,
      0.7209818585663,
      0.74502788164827,
      0.76937014357269,
      0.768006688524111,
      0.765049157035576,
      0.77644433581669,
      0.754095784519494,
      0.697077434767169,
      0.684159245626819,
      0.721100478428534,
      0.779623305689707,
      0.793337034375181,
      0.77014007679834,
      0.741626191774554,
      0.724410910907787,
      0.714337263824233,
      0.160135503858384,
      0.281509734081236,
      0.407722285943973,
      0.445334040139655,
      0.429157083524742,
      0.454789298894948,
      0.514322074934577,
      0.564501384852317,
      0.578639635601237,
      0.588145414827235,
      0.597512638836461,
      0.53370588499796,
      0.445528533594574,
      0.445547471194119,
      0.534967245682975,
      0.640627434493876,
      0.630488879851708,
      0.497908904114445,
      0.426799822452075,
      0.441037478842927,
      0.468273314612871,
      0.466062498967039,
      0.458023692077787,
      0.474075159181484,
      0.478170094549658,
      0.472718755416291,
      0.493353706778222,
      0.553737655919896,
      0.607673840398629,
      0.606065234593589,
      0.587877177338561,
      0.563397293632724,
      0.528309421911397,
      0.488949061907467,
      0.457154899473912,
      0.445954299886012,
      0.456303136822962,
      0.460450229173532,
      0.451974496971353,
      0.45151189086064,
      0.483355346505523,
      0.535920031521206,
      0.541533513762901,
      0.486750884554506,
      0.440834853228677,
      0.441961073700548,
      0.467130644794462,
      0.488144328874971,
      0.498393897554399,
      0.515221933529536,
      0.547216606161493,
      0.556576421713839,
      0.531445102113662,
      0.514675779807731,
      0.522259927808254,
      0.547773038831193,
      0.57021216403895,
      0.541178287200795,
      0.479316985419139,
      0.470912059436699,
      0.499658388311915,
      0.520932621297607,
      0.505615494828919,
      0.486335061940816,
      0.492374196791851,
      0.519917326961398,
      0.558689222027197,
      0.565954403631995,
      0.501396188404239,
      0.448058783074657,
      0.446881078857251,
      0.469277101021557,
      0.488480139033643,
      0.502884766795705,
      0.520705303470047,
      0.528680833495602,
      0.525061569316851,
      0.517322037671215,
      0.508817515783319,
      0.486937911403171,
      0.470740579347874,
      0.488797835675772,
      0.535865890040199,
      0.581629462906488,
      0.573289552170847,
      0.481906320750115,
      0.414719040702739,
      0.414403873864545,
      0.454172597939245,
      0.476533094316183,
      0.464332902950246,
      0.452314160277532,
      0.45359860723994,
      0.476562785235477,
      0.522342230605602,
      0.581556923783439,
      0.595817963075269,
      0.572862851517774,
      0.548604648475578,
      0.503349475063342,
      0.455438513266236,
      0.440456466816312,
      0.427800117965001,
      0.3948877056215,
      0.37095122108742,
      0.38448952629954,
      0.424295087554038,
      0.46336249333316,
      0.473651663597621,
      0.435331810683576,
      0.391206561111041,
      0.377262972560288,
      0.388612418960629,
      0.402617743088104,
      0.407362138275445,
      0.415029966077093,
      0.435222933362232,
      0.466970991337178,
      0.483349317990999,
      0.471831336190048,
      0.464834126329833,
      0.486790972991695,
      0.518262978145817,
      0.53071179724701,
      0.521228453027748,
      0.52039612900382,
      0.53080022431977,
      0.528583403407535,
      0.523355378068744,
      0.518590203980384,
      0.495957635779065,
      0.473255422416501,
      0.479555930983743,
      0.518701568565242,
      0.562248366584389,
      0.542571918936064,
      0.469981103732681,
      0.437042974063439,
      0.448017276875458,
      0.477226137036913,
      0.504044318520671,
      0.530911278933569,
      0.547215468803729,
      0.538436718274902,
      0.521379158881355,
      0.521323701202014,
      0.522287922710606,
      0.499446919692667,
      0.482203774971572,
      0.496782411761464,
      0.536571035200546,
      0.577863784074347,
      0.596873409990884,
      0.58980830511278,
      0.586768456738444,
      0.592380836979024,
      0.583396280370806,
      0.575527786905402,
      0.576398708434604,
      0.558005812497467,
      0.53443275168993,
      0.540787182904278,
      0.581173186808365,
      0.610300481013728,
      0.606510942367248,
      0.590387774028847,
      0.559954749426598,
      0.512335012008728,
      0.486472645381215,
      0.481212193194315,
      0.459792446362259,
      0.414574637170157,
      0.383779020606191,
      0.388577429557398,
      0.426177312766564,
      0.474205288763927,
      0.491736736818355,
      0.484375230886359,
      0.461748738191201,
      0.42549638730376,
      0.399973615984703,
      0.411414815034055,
      0.441067230643393,
      0.449623630542542,
      0.436778237897414,
      0.443309144073258,
      0.459540769430554,
      0.462844324674844,
      0.465190902099748,
      0.468305887420939,
      0.439580692165566,
      0.382655693261618,
      0.35826329893642,
      0.38367476491522,
      0.444504231960194,
      0.479666883005031,
      0.479739863657768,
      0.467272578524071,
      0.446892948909634,
      0.422358981008266,
      0.160179496253926,
      0.278645413493258,
      0.398358554162228,
      0.42259514921608,
      0.389231709007744,
      0.391903941942531,
      0.415646146914992,
      0.43265661053091,
      0.447972640021821,
      0.497808079287833,
      0.554187526582503,
      0.503664100529041,
      0.399021963443501,
      0.371643760630999,
      0.42579756105247,
      0.507418509292328,
      0.526680433521582,
      0.436939121536897,
      0.341050107828041,
      0.296542626059434,
      0.28498062998176,
      0.282933507626498,
      0.282231992392739,
      0.289819297606069,
      0.291894352296687,
      0.296392704822521,
      0.327676938775373,
      0.393538029818364,
      0.452846117346778,
      0.447831614403937,
      0.415709452747068,
      0.384489074797518,
      0.352808078659546,
      0.327287333671715,
      0.325986783641391,
      0.348355407104481,
      0.380971778093719,
      0.403120170922183,
      0.409635845683548,
      0.412717485521842,
      0.434878401765281,
      0.463533006285154,
      0.43792764725877,
      0.37288327369084,
      0.331442113673233,
      0.332475583114462,
      0.364586319867686,
      0.416336408037116,
      0.458259358212823,
      0.482553650385224,
      0.513623956362569,
      0.520893545661866,
      0.493923551736666,
      0.472407837082155,
      0.459666792441663,
      0.451919756504016,
      0.447060213848914,
      0.419431078772462,
      0.380877932559737,
      0.374631514789703,
      0.387159304106179,
      0.401644653668431,
      0.405536781129329,
      0.394481583029307,
      0.379223781822636,
      0.381447879509383,
      0.413350846570678,
      0.438087101277513,
      0.385276159466843,
      0.312301809921379,
      0.29078713584717,
      0.323811594462134,
      0.375909405109905,
      0.396825769992755,
      0.393453085811111,
      0.388836492677182,
      0.385032563414877,
      0.372420731223123,
      0.362515032566323,
      0.367711305427524,
      0.388556172710396,
      0.411488935348378,
      0.432084434951625,
      0.457228011954169,
      0.453013339311331,
      0.36452826624607,
      0.275830997252541,
      0.249288688698768,
      0.27222583410941,
      0.295124529509093,
      0.289871659976227,
      0.283180933802453,
      0.291839989277149,
      0.318503773792033,
      0.362338150207149,
      0.416676970300354,
      0.435731079109868,
      0.41428987924042,
      0.385243200341139,
      0.342914218924367,
      0.310872505876069,
      0.319962816373072,
      0.352826865345872,
      0.378415908993567,
      0.392477390376522,
      0.40356424402589,
      0.410955448353576,
      0.42463805527776,
      0.450033138366166,
      0.418686502348609,
      0.34434098544058,
      0.300565956339273,
      0.303828259417881,
      0.334974845316241,
      0.367334145234217,
      0.391127991871757,
      0.400004266352498,
      0.401616251958672,
      0.392132679712046,
      0.372133756559956,
      0.364469645501934,
      0.387180381401057,
      0.417644530202388,
      0.422825220559291,
      0.399993967371135,
      0.4014210643986,
      0.437396881127971,
      0.451072300979921,
      0.447241364313812,
      0.446664907454186,
      0.426236952330649,
      0.385311582722881,
      0.361864413723175,
      0.379389279854439,
      0.423384906749273,
      0.415671416138659,
      0.335902937787929,
      0.282404058942883,
      0.291277214774381,
      0.349511242999259,
      0.400189256834326,
      0.410355773449682,
      0.401901334172837,
      0.389845523197938,
      0.375793981954907,
      0.368568798004468,
      0.374748244302094,
      0.386960481014159,
      0.399769182434119,
      0.409958892361666,
      0.429398493394729,
      0.464363730215879,
      0.494936864951638,
      0.493499707317415,
      0.471836697863124,
      0.452657892131259,
      0.430650311829434,
      0.41320003955441,
      0.403995929987419,
      0.385397098775762,
      0.367730178950497,
      0.378444406569436,
      0.422101541337109,
      0.456053842196677,
      0.446334344057812,
      0.418197524553701,
      0.383229779773315,
      0.335817825852575,
      0.306734983608117,
      0.31291334620645,
      0.318964460631753,
      0.288662871857947,
      0.251649044695346,
      0.246437241079361,
      0.277743462991698,
      0.318363785990746,
      0.334588494796094,
      0.339020602948795,
      0.339948034904404,
      0.315078219693959,
      0.272726395933535,
      0.257139004095472,
      0.272488487664057,
      0.288992211194466,
      0.281243701593683,
      0.276535636956699,
      0.285707050172506,
      0.289122155859436,
      0.283903093250783,
      0.277066147983834,
      0.25360047292269,
      0.212805010292499,
      0.194339682713238,
      0.211839807925878,
      0.25904159215756,
      0.295307707022518,
      0.300111947518244,
      0.28858193823556,
      0.274126760439686,
      0.269441652705158,
      0.149191971037362,
      0.257823540787119,
      0.367790394126437,
      0.393792142474957,
      0.365317223486507,
      0.360411471267093,
      0.368594371139126,
      0.376717189551262,
      0.397052173348293,
      0.458993677757174,
      0.527398573949254,
      0.489888242671092,
      0.39223937915141,
      0.355240564238756,
      0.376217056255294,
      0.422702484737026,
      0.455456964697942,
      0.405062103950659,
      0.301493071261702,
      0.223225325055778,
      0.19040025040286,
      0.189994725923425,
      0.194052539346516,
      0.196185698218449,
      0.195809310299308,
      0.202701337659111,
      0.234182800583266,
      0.296803330255132,
      0.36002138186773,
      0.362606147652822,
      0.332449088337219,
      0.300836870784718,
      0.269792179713876,
      0.257926133805294,
      0.300078784465113,
      0.373015166132408,
      0.43049841394281,
      0.440322107644049,
      0.417905751764639,
      0.395605352477218,
      0.393276456184689,
      0.397457924077109,
      0.372851542984775,
      0.349387711275374,
      0.353728841217945,
      0.381093789095673,
      0.421723287154663,
      0.462052362582352,
      0.468738543226471,
      0.465039862738139,
      0.489660026386949,
      0.502091124064185,
      0.480314164373678,
      0.457405580611857,
      0.436314536218299,
      0.416659552044671,
      0.403437359718357,
      0.377756105837795,
      0.345428116079773,
      0.3380669378942,
      0.341575647480278,
      0.345165316422977,
      0.353639509609054,
      0.361931605228967,
      0.353583966712203,
      0.340831736009532,
      0.354939380301756,
      0.383569026354841,
      0.344044794280148,
      0.265468330823978,
      0.235708670498154,
      0.277037064867784,
      0.352536780475026,
      0.384659672702443,
      0.375642322085702,
      0.36846822747713,
      0.366099295982333,
      0.338733174976821,
      0.3037177203243,
      0.315845709120566,
      0.372345799800762,
      0.40739331764689,
      0.401357595703763,
      0.387550934008519,
      0.367939997625019,
      0.295286180170149,
      0.21490847568362,
      0.179699264855435,
      0.190104079930863,
      0.210995147157656,
      0.208567165547265,
      0.204893301198997,
      0.217499467987019,
      0.244127240524165,
      0.282204190778183,
      0.330897895095248,
      0.353529833639051,
      0.333412268896976,
      0.30368758744374,
      0.267501825868402,
      0.243322192375002,
      0.266114485851087,
      0.341787714886171,
      0.415438289259527,
      0.439539152839712,
      0.433713984647892,
      0.434698918759667,
      0.46258734469999,
      0.495864861832841,
      0.441030744698006,
      0.334137507724787,
      0.275457133629938,
      0.300029933543634,
      0.380238742226812,
      0.443791567416546,
      0.455863687584067,
      0.427583552271937,
      0.395189043915072,
      0.365906640377049,
      0.350021902335657,
      0.353192022575927,
      0.382497971986649,
      0.416713409999843,
      0.424506905507035,
      0.396244508542689,
      0.375719483868491,
      0.382278395440993,
      0.379128746655995,
      0.375886840906451,
      0.391273147540026,
      0.401508548644753,
      0.382814581401756,
      0.355143476317629,
      0.346003970743851,
      0.370991604394566,
      0.374249073091688,
      0.300149975747433,
      0.237209907337125,
      0.244603025106316,
      0.318835955617909,
      0.386159287949289,
      0.394395593937435,
      0.378855282055686,
      0.368354937056973,
      0.350385218084103,
      0.319186441071501,
      0.31049021410429,
      0.351081490629172,
      0.396960235175099,
      0.39991509489932,
      0.382904179807865,
      0.384666190107448,
      0.405791901050312,
      0.413470632062672,
      0.401036661814386,
      0.383258777048191,
      0.361907338321653,
      0.340480929302664,
      0.321867273665654,
      0.298339702459451,
      0.281378782306948,
      0.291226889418649,
      0.329761792331553,
      0.363266853929897,
      0.358939197082288,
      0.336076999797427,
      0.30138665750531,
      0.246605151050671,
      0.210532895831644,
      0.235205704217015,
      0.287074777801055,
      0.288251667039071,
      0.246861045651037,
      0.224273055426951,
      0.233910823914018,
      0.245081061479258,
      0.249123816242252,
      0.274121499425435,
      0.313019267371641,
      0.311721334939575,
      0.263964017890216,
      0.227498055572707,
      0.224880132169435,
      0.240305876282826,
      0.234298071034119,
      0.216534637198568,
      0.207011174267742,
      0.199276008439676,
      0.191231298270389,
      0.182710924156369,
      0.162471750798944,
      0.128691351659648,
      0.112378735079935,
      0.126226530737252,
      0.167144218641592,
      0.200235715191644,
      0.200793682747546,
      0.187437506958632,
      0.180035979615879,
      0.198708789224443,
      0.138166965812325,
      0.243482698835518,
      0.356719300804654,
      0.394849247904343,
      0.368362938580461,
      0.352306080262629,
      0.35258907554131,
      0.365883630012712,
      0.395877348180125,
      0.458399274965227,
      0.522458516825198,
      0.500171483913967,
      0.420192246991306,
      0.378823725739893,
      0.375105924966689,
      0.390998396322146,
      0.40670701655286,
      0.360039990192167,
      0.262825618799018,
      0.188744221996691,
      0.161631905389329,
      0.166462977520232,
      0.169742265742838,
      0.1673768187991,
      0.1687896984802,
      0.18305138774747,
      0.217991493940836,
      0.273419074849978,
      0.326789416507009,
      0.330062600834962,
      0.3054824252832,
      0.27716558048186,
      0.254023096611535,
      0.261493263947766,
      0.32789589349756,
      0.411907032760944,
      0.459459918226924,
      0.451317708403969,
      0.427470636570862,
      0.422355517824493,
      0.423093282183264,
      0.39945729086266,
      0.364013935037705,
      0.372579702991824,
      0.406946203214782,
      0.438453713739006,
      0.458760265474022,
      0.457537030286941,
      0.414766410977281,
      0.381840671612225,
      0.398196728237,
      0.423974829060349,
      0.428193836963184,
      0.425849324815518,
      0.421717181447283,
      0.414073282520441,
      0.405295323440872,
      0.370597058592347,
      0.314785090819369,
      0.291116694459414,
      0.294214838604476,
      0.309584635300156,
      0.331140466981367,
      0.342452501109006,
      0.328534237471348,
      0.307975995831356,
      0.322327416090729,
      0.361671147823624,
      0.338324427393834,
      0.264274911097763,
      0.227488492170978,
      0.252578351355841,
      0.310802849778875,
      0.345869556665728,
      0.359822583768449,
      0.380593342675405,
      0.393008194669877,
      0.356719189590768,
      0.296815938008823,
      0.294210009619377,
      0.356715195153027,
      0.396395294632202,
      0.381064403028498,
      0.349022277618434,
      0.318086086009642,
      0.254927214308033,
      0.190870821791139,
      0.164477745378708,
      0.174149132850384,
      0.189656261027394,
      0.185541170521292,
      0.18401027943275,
      0.197469548107507,
      0.224517910930786,
      0.264847233516364,
      0.315910609285812,
      0.337009677367048,
      0.313191206905271,
      0.282278938325582,
      0.247569758069596,
      0.222247725956722,
      0.233029330775295,
      0.275512923849412,
      0.308823601013455,
      0.318412166001954,
      0.333351549252537,
      0.37799161928888,
      0.445931525042971,
      0.48810875925668,
      0.419951138450849,
      0.303196386962473,
      0.239052839881894,
      0.252098487820217,
      0.312958618256819,
      0.365949317289632,
      0.392474377785903,
      0.394545395742031,
      0.381778640718252,
      0.357209632865564,
      0.35002391507468,
      0.365319438990296,
      0.394116403111997,
      0.418802650186328,
      0.429116270781026,
      0.41595688865414,
      0.380959875165849,
      0.348228938123091,
      0.33479377502201,
      0.346051804988621,
      0.370638144526749,
      0.377768346625481,
      0.359664745604749,
      0.339653333489254,
      0.337418190008353,
      0.36612971841886,
      0.376559564485901,
      0.305695229485239,
      0.23676258229757,
      0.230221797234824,
      0.281957701254882,
      0.338935551494804,
      0.364395917905007,
      0.381476994016045,
      0.397445830259836,
      0.382814543088505,
      0.33001613618199,
      0.293495422562909,
      0.326962157223691,
      0.379751977960806,
      0.383610110434787,
      0.355586374505808,
      0.341169394262146,
      0.353070863837579,
      0.366058572102082,
      0.369361887122529,
      0.361434727028159,
      0.339614150193328,
      0.311678452420421,
      0.290585145056442,
      0.278055028977433,
      0.277109190468558,
      0.289991938667646,
      0.312695300016253,
      0.329789939249132,
      0.326089345206744,
      0.309609185581382,
      0.277725396738464,
      0.227429173022601,
      0.204017358497105,
      0.24230826765056,
      0.303283349794581,
      0.307292668490841,
      0.261400483218427,
      0.228984087676797,
      0.226715161602691,
      0.228953622850983,
      0.231666215805324,
      0.264553759731405,
      0.323505267771167,
      0.343686688969746,
      0.299899436442829,
      0.254692480497831,
      0.242270516288349,
      0.253998558732963,
      0.241456263767258,
      0.210126829434179,
      0.186617131209659,
      0.172698281173646,
      0.164758056765664,
      0.155654828372582,
      0.137747711883981,
      0.110847381308733,
      0.100203724408942,
      0.114951714297858,
      0.149739027249855,
      0.170810202436531,
      0.162653803199737,
      0.148961065076479,
      0.139786505481862,
      0.146082669497006,
      0.133305746372676,
      0.243348309595957,
      0.372709494840754,
      0.431775877993649,
      0.406428313137873,
      0.376070137112909,
      0.366124948973216,
      0.381761022888683,
      0.416346938896502,
      0.474418763190857,
      0.534573191126398,
      0.535436838093054,
      0.465075778009383,
      0.401951859231377,
      0.372668627681114,
      0.378920814294467,
      0.388338925252811,
      0.33265028461856,
      0.240823064634899,
      0.18326382016313,
      0.170994676285068,
      0.178540478755955,
      0.175583879196064,
      0.169203698822354,
      0.172414514018742,
      0.190186522147434,
      0.227210248590675,
      0.280285640396054,
      0.326247905961134,
      0.323942543339029,
      0.298000188220736,
      0.27146973901947,
      0.259303749545291,
      0.275317081032471,
      0.329888690090626,
      0.396792598141947,
      0.435343020576036,
      0.424055770398223,
      0.403785612847444,
      0.411701869703007,
      0.424946445464402,
      0.407910658748795,
      0.369646485722896,
      0.355227198745847,
      0.355545279385936,
      0.352181969973787,
      0.344224150551182,
      0.344496248771217,
      0.350763458315363,
      0.354828974523422,
      0.369806288495319,
      0.390369162683491,
      0.400946261156746,
      0.413998463570879,
      0.437696055725992,
      0.460013945010265,
      0.464492665580802,
      0.417736686288167,
      0.332582793036289,
      0.290961462509695,
      0.297840493497795,
      0.325653243718957,
      0.340494614707015,
      0.328773295110528,
      0.305088762641269,
      0.286552669841987,
      0.306240099737964,
      0.351854957039605,
      0.343157861397651,
      0.279717453234537,
      0.239255412789343,
      0.240412123503416,
      0.26772727297921,
      0.301031178951552,
      0.340466254920868,
      0.383164301640023,
      0.402939286813244,
      0.376045445694624,
      0.324642588097271,
      0.302117932507676,
      0.324635571954129,
      0.344733926319951,
      0.335832220216524,
      0.315626591386997,
      0.290558416155472,
      0.235697050964708,
      0.184367152731841,
      0.170230419431767,
      0.188152417368784,
      0.204041029707316,
      0.196139339075493,
      0.188565139013507,
      0.194749757126214,
      0.219721002170325,
      0.263911213526694,
      0.3180325505526,
      0.335958594308771,
      0.311338722725089,
      0.285436552301013,
      0.260832952514305,
      0.244146930013324,
      0.249932487780213,
      0.265350734400957,
      0.268232385146337,
      0.270192722151741,
      0.293129194602978,
      0.345631975034522,
      0.418210908625478,
      0.45905966823873,
      0.395429419203614,
      0.299340535144714,
      0.251855778273803,
      0.250649946970384,
      0.273543591236808,
      0.300878830607682,
      0.328847783811069,
      0.351699928960995,
      0.368279973985373,
      0.363786379114594,
      0.353879499574616,
      0.354088945900619,
      0.360132051092463,
      0.368422525334967,
      0.391643749259334,
      0.417770270724859,
      0.398383629583714,
      0.357629358481909,
      0.355043464161516,
      0.38378932280984,
      0.402278452447925,
      0.375795795489123,
      0.329272221846909,
      0.3022603330112,
      0.310794554276036,
      0.35499238974924,
      0.378245689431605,
      0.3180921334684,
      0.251711374717458,
      0.232099453505069,
      0.252947995661669,
      0.28890404928599,
      0.326217589784401,
      0.366624628261041,
      0.395032843841252,
      0.391908561291405,
      0.357106852550027,
      0.31961385912373,
      0.318860496331829,
      0.338884166468752,
      0.336704309496316,
      0.318418638220428,
      0.316136079428913,
      0.341973169493449,
      0.373807283006013,
      0.389775232868632,
      0.378610951591789,
      0.34621086666312,
      0.314325768594861,
      0.297658133143499,
      0.294829932413634,
      0.300840354002381,
      0.312557711835424,
      0.326032033676436,
      0.332599991388703,
      0.321860767104816,
      0.29934489043321,
      0.266649529458172,
      0.229461925618824,
      0.221906188036018,
      0.258525794201581,
      0.297490006746561,
      0.286292746962133,
      0.248412524174417,
      0.234399596260546,
      0.250911897213602,
      0.267536338744982,
      0.274499961590568,
      0.30293423636733,
      0.35236034281074,
      0.36048316882876,
      0.310298232708766,
      0.268258715201817,
      0.26819386953959,
      0.292172316880552,
      0.276119277480748,
      0.229821299430794,
      0.193378726767893,
      0.173867470278811,
      0.164993008248437,
      0.156296298969592,
      0.139843108550953,
      0.115007341608836,
      0.105903864130455,
      0.121792971524167,
      0.155450611644637,
      0.17101865709525,
      0.158650044902116,
      0.144500378815116,
      0.134739912690529,
      0.138992993030731,
      0.132670540615317,
      0.245977880894305,
      0.388494134613021,
      0.469472254391936,
      0.45151701719239,
      0.410593003694964,
      0.3903736447181,
      0.405205309048421,
      0.440511518466107,
      0.494927388800177,
      0.553630937173464,
      0.56538202597591,
      0.488857575134184,
      0.401551550720222,
      0.356886216391899,
      0.377886975644392,
      0.415453651396498,
      0.359498960240995,
      0.254527431737588,
      0.191688809411221,
      0.177445854044149,
      0.180157399153755,
      0.175255263314865,
      0.173298240993256,
      0.180391762019823,
      0.198829827096148,
      0.236141586833715,
      0.290126620637691,
      0.33307303922074,
      0.324802989167305,
      0.29690176047894,
      0.27074018555684,
      0.259079225515797,
      0.275368516656762,
      0.318417666264553,
      0.367752378868812,
      0.392130218594382,
      0.372583500403117,
      0.349734555836737,
      0.352639487192505,
      0.36510614564549,
      0.373763861245899,
      0.375689564076939,
      0.359729820261256,
      0.321283797703228,
      0.285187248645275,
      0.273224905778357,
      0.301402745247393,
      0.351700857150909,
      0.382064952497201,
      0.402184498007691,
      0.41578683605655,
      0.412962456500008,
      0.415186368187633,
      0.439956207415544,
      0.479729339147736,
      0.515216715937188,
      0.495287011028162,
      0.392101755498354,
      0.308979354347181,
      0.288008001140639,
      0.315387800047085,
      0.343942434356074,
      0.336145038588262,
      0.309456943830713,
      0.287767261151332,
      0.308443681250327,
      0.358810057995984,
      0.351796717171609,
      0.288878425335571,
      0.249586919720585,
      0.247356136637629,
      0.269028994957208,
      0.299731165424244,
      0.33563368218008,
      0.367294654824606,
      0.383078467375899,
      0.37461153893881,
      0.350735835197958,
      0.328682519637081,
      0.316169955104588,
      0.304040108443662,
      0.289747027332867,
      0.285035675540106,
      0.282620676191642,
      0.244737605257867,
      0.201660623019868,
      0.192356311136408,
      0.211356758554589,
      0.220716165018682,
      0.208297207403288,
      0.20058590998897,
      0.204967464985159,
      0.227141661033201,
      0.270421252538902,
      0.325776734708154,
      0.342810463910195,
      0.319760379921064,
      0.299780137010491,
      0.285395887901146,
      0.269836393603136,
      0.266319367913466,
      0.270441333468714,
      0.265550680520458,
      0.259190132843066,
      0.274551866906165,
      0.323408759064329,
      0.392236976481471,
      0.423406858706742,
      0.364869738712593,
      0.294935054889549,
      0.272470670757962,
      0.28064289524805,
      0.293411094214644,
      0.305697801595636,
      0.330493088953741,
      0.361936932776453,
      0.380352326332151,
      0.366042577072883,
      0.337915433897945,
      0.314102163914913,
      0.304853985525295,
      0.320861141605417,
      0.366811527355351,
      0.412630297929936,
      0.407763654578628,
      0.376681776552775,
      0.370235645699014,
      0.384784896105066,
      0.389503865906438,
      0.358390532805785,
      0.31513320919746,
      0.292292039213569,
      0.308237481042705,
      0.362358710944837,
      0.391150006752081,
      0.332411862898947,
      0.267778098408712,
      0.245143718172095,
      0.258013296155813,
      0.288844364246207,
      0.32757490113409,
      0.366484757640407,
      0.38690222587656,
      0.384495985581047,
      0.368356321386714,
      0.349588649366886,
      0.332383195666088,
      0.317494637022604,
      0.300213121293453,
      0.290483535097227,
      0.30574146294017,
      0.351804956656319,
      0.404077782478685,
      0.429113768696342,
      0.411467076024375,
      0.368900597779373,
      0.336068588136445,
      0.328867782484702,
      0.334834426345962,
      0.333283131401637,
      0.329129163689877,
      0.332186487894064,
      0.336748956044218,
      0.322273312642174,
      0.294652851774032,
      0.259802596741689,
      0.223203189397253,
      0.218578323151246,
      0.257172977688107,
      0.291569045451862,
      0.276455178933618,
      0.245547179891734,
      0.244864669412659,
      0.272762720161826,
      0.300374772511969,
      0.317919665068346,
      0.348175624069973,
      0.378626960420548,
      0.362226927357817,
      0.308335193307472,
      0.275300944030006,
      0.284733878713447,
      0.312797075613457,
      0.298500726266752,
      0.250394584449759,
      0.209262149610174,
      0.186299182511896,
      0.176784231688735,
      0.167494127533339,
      0.148732828635731,
      0.121096470638382,
      0.109475629990491,
      0.123480272472484,
      0.15609247880378,
      0.172582699334065,
      0.164052433974053,
      0.152308629897195,
      0.1408121282492,
      0.140627302440027,
      0.140014814664461,
      0.25384779676869,
      0.39017943531904,
      0.469548591196304,
      0.466048989005027,
      0.437141736105036,
      0.41492244888381,
      0.416725868429029,
      0.438945413416586,
      0.49054669376052,
      0.554925906448313,
      0.559041010325107,
      0.472476652364534,
      0.38679268978353,
      0.346412929334117,
      0.369935955917884,
      0.40709930169865,
      0.34894677833036,
      0.247786530854558,
      0.194179324101594,
      0.186900147568232,
      0.189399155799565,
      0.183628776613632,
      0.186880176210868,
      0.199267965833533,
      0.217359192388328,
      0.250037273601685,
      0.299222199131413,
      0.339433795865686,
      0.329868202553093,
      0.299792577414537,
      0.268979874301851,
      0.253081504754429,
      0.275974643246313,
      0.322254135629894,
      0.362066602662654,
      0.378427516963144,
      0.367929453348159,
      0.354184045599568,
      0.348072263101955,
      0.353486537021106,
      0.382191884855931,
      0.405453157489271,
      0.379907142553705,
      0.324774221751303,
      0.28839341675145,
      0.288608391139862,
      0.32555633560937,
      0.375712056443975,
      0.402803988771249,
      0.420538769392665,
      0.424517320228938,
      0.398923590005297,
      0.374336010380055,
      0.383966079180912,
      0.430943202865644,
      0.487576306056452,
      0.488512377663935,
      0.393293948272408,
      0.303312220292726,
      0.271012839963216,
      0.298081283261406,
      0.341920836248476,
      0.346784263649181,
      0.325897666100684,
      0.311697611106012,
      0.339410488571112,
      0.385416670463274,
      0.359170464889138,
      0.288793328938476,
      0.258014971104936,
      0.270950068514437,
      0.304013712578114,
      0.339531389700273,
      0.372238232657604,
      0.385565641125924,
      0.374265077431035,
      0.350659486759124,
      0.344570540150394,
      0.348731394258176,
      0.332635865476669,
      0.29911959941697,
      0.280857582669609,
      0.288330520510008,
      0.296180822783849,
      0.261251905566941,
      0.223926642780657,
      0.221633099968638,
      0.244492055461912,
      0.24978414370075,
      0.235022669491555,
      0.230095391977161,
      0.234408168971415,
      0.251197299800245,
      0.287789827043382,
      0.344158109111587,
      0.36714090880133,
      0.348410370820925,
      0.324880222420966,
      0.301269229163868,
      0.27418893033604,
      0.260879718636917,
      0.258914227280912,
      0.260013504309358,
      0.266359038553778,
      0.294789418380071,
      0.349346671169297,
      0.407597417886901,
      0.415907642673155,
      0.348156660516537,
      0.277145720821657,
      0.25100727751669,
      0.257361589272831,
      0.272809747068533,
      0.298496253982412,
      0.352486309507603,
      0.411771759830942,
      0.42254923078465,
      0.386406534288305,
      0.345262112165851,
      0.307527382989463,
      0.288074040123284,
      0.306378292759953,
      0.356069028116893,
      0.402681440313478,
      0.411513265063825,
      0.389892953814697,
      0.367716162266066,
      0.367845407342546,
      0.386857419141068,
      0.384799757610771,
      0.352537247209395,
      0.327574599694162,
      0.34905686566527,
      0.412231114270955,
      0.420844898183325,
      0.335147055544466,
      0.271961503159844,
      0.263027441149419,
      0.286005537630724,
      0.321292053993286,
      0.363286630968587,
      0.392429500032525,
      0.389701038323569,
      0.367298197326403,
      0.350836371330451,
      0.352577501651377,
      0.347819686032492,
      0.318060321365373,
      0.286440212195382,
      0.282152253512724,
      0.304190590308291,
      0.340407112705733,
      0.375031186530241,
      0.399937158629532,
      0.400899552305038,
      0.373427008701597,
      0.343306487632983,
      0.333389391299794,
      0.334793838451789,
      0.328250576054477,
      0.322565767435694,
      0.329537665625057,
      0.338692629334094,
      0.325294398836666,
      0.296124920939405,
      0.258285674642019,
      0.218073422855442,
      0.217588251822221,
      0.261480638459949,
      0.295651873142094,
      0.276880246996314,
      0.250135039881133,
      0.257773578774361,
      0.283207318108463,
      0.296094693512182,
      0.301082889212524,
      0.329932566069145,
      0.353967025567032,
      0.327103310647717,
      0.275913332636508,
      0.253909977728468,
      0.267921890172806,
      0.295747722324537,
      0.29111131362394,
      0.2533079933792,
      0.213706978587167,
      0.192683439071873,
      0.189701665496375,
      0.184846334361613,
      0.168497285256327,
      0.138345486982694,
      0.120171920090085,
      0.12839105198625,
      0.161539759492565,
      0.184532818879386,
      0.178320712837799,
      0.163069461250758,
      0.145231287590664,
      0.131801890946698,
      0.151328949475222,
      0.26634373535239,
      0.385753774460341,
      0.44828615545094,
      0.466259753288775,
      0.465579631512251,
      0.444098551542543,
      0.425232703286316,
      0.429311518269862,
      0.475505025202047,
      0.54009935759382,
      0.529017103334378,
      0.445917677393223,
      0.38965059457388,
      0.372229196369674,
      0.388492600719129,
      0.397311048897234,
      0.330248816926488,
      0.243750268031178,
      0.206546520976708,
      0.205569428884954,
      0.204785404697686,
      0.196236118197217,
      0.200908145980653,
      0.213789736825478,
      0.22961222624693,
      0.259021053021957,
      0.305272968761311,
      0.345419245271347,
      0.33953011573375,
      0.309854289220626,
      0.275622468849455,
      0.254514013166293,
      0.271707129395512,
      0.31403904294937,
      0.351206071228503,
      0.378006888859668,
      0.395033609261665,
      0.397881900495451,
      0.389062631943657,
      0.393574357402875,
      0.423398041614947,
      0.431095754341019,
      0.400872702012315,
      0.364971437695719,
      0.349388306845501,
      0.354347011726922,
      0.376799967351659,
      0.400131020792045,
      0.408492297300276,
      0.426665166820069,
      0.442302893421689,
      0.416039202008166,
      0.36963213729209,
      0.348743542195516,
      0.371725332861713,
      0.416457376390322,
      0.429923968443003,
      0.37244507010963,
      0.309726221365872,
      0.282440551816904,
      0.302929750233691,
      0.344676382458932,
      0.354863655815819,
      0.347822566054807,
      0.352774575566102,
      0.392610580569861,
      0.422017930768955,
      0.362266516802566,
      0.282379675300862,
      0.269153515443175,
      0.306258860439463,
      0.346000411982957,
      0.369938839905039,
      0.391275795995859,
      0.392797061831164,
      0.362179664901505,
      0.318814568442309,
      0.317644504470372,
      0.354846887408962,
      0.366065461136676,
      0.334398469627816,
      0.305769916988787,
      0.300814777582174,
      0.288874351118477,
      0.242921925917573,
      0.209855645750021,
      0.213990766472725,
      0.236993551113114,
      0.23877400747926,
      0.222334725732586,
      0.218223588711736,
      0.225948044874793,
      0.247707953612241,
      0.286996621587885,
      0.342393134564948,
      0.363504273651933,
      0.341380838633585,
      0.310722817433946,
      0.279113024398562,
      0.257310151238111,
      0.261413148524377,
      0.285922943823548,
      0.308195488985151,
      0.322345302872004,
      0.354059783079051,
      0.413202190210666,
      0.461860331896228,
      0.433350581145125,
      0.33967731226442,
      0.264495625469908,
      0.244297168077064,
      0.265595861878298,
      0.302640364921502,
      0.335796199914976,
      0.374977848166294,
      0.419105205435736,
      0.439664355334602,
      0.426375475860704,
      0.385858462930496,
      0.336932715746198,
      0.31676424040246,
      0.338756563594387,
      0.382677643842901,
      0.412604755480673,
      0.413877406086004,
      0.393293623245815,
      0.365848853685629,
      0.358120902295735,
      0.376581785635623,
      0.377307662580162,
      0.348421888029458,
      0.331994761192447,
      0.362795353325372,
      0.423686478357112,
      0.409418980392937,
      0.306824960447785,
      0.252656562289866,
      0.273393101470158,
      0.327627124678771,
      0.36904214454267,
      0.394730950410119,
      0.404187240243066,
      0.378884817393524,
      0.334203956641559,
      0.31328692611668,
      0.343773305758082,
      0.373256006307419,
      0.353264207424941,
      0.31315715923815,
      0.297707061369736,
      0.308187913520432,
      0.332748427181218,
      0.35976494609313,
      0.380903639333085,
      0.387516050801471,
      0.370872725402079,
      0.347747889173456,
      0.334585676937388,
      0.328212617135033,
      0.321900296501889,
      0.323150050496658,
      0.335918466545419,
      0.347681146730401,
      0.337129732165737,
      0.306188546772734,
      0.263623495354114,
      0.22168053015358,
      0.220100636432433,
      0.260524003434684,
      0.294246092276712,
      0.281665334410043,
      0.256025445439696,
      0.253680210202423,
      0.265625640759971,
      0.27228118457926,
      0.272667673594752,
      0.290531737248579,
      0.308439571946403,
      0.294376247519463,
      0.265773398110349,
      0.259929196636739,
      0.271332159911046,
      0.271215163811616,
      0.244960240367328,
      0.215890988031549,
      0.201039443303436,
      0.198982955638531,
      0.202514111720884,
      0.202417564116583,
      0.189155985454509,
      0.155687076736149,
      0.131824506461337,
      0.136092624674076,
      0.169243696846727,
      0.197057336010395,
      0.193623016700445,
      0.175058097876125,
      0.15323975823663,
      0.136886072846313,
      0.156944548508893,
      0.271329351793038,
      0.379066027489064,
      0.429631070211824,
      0.461156585521523,
      0.481087839830243,
      0.464585697130092,
      0.439030278555253,
      0.437476980849442,
      0.479139415561202,
      0.53227266361187,
      0.50690068761613,
      0.443514999050687,
      0.424476777509308,
      0.431226889405149,
      0.444328285384543,
      0.430414681283399,
      0.345117439314284,
      0.255566944608397,
      0.223373499187151,
      0.223827369947548,
      0.219116163696211,
      0.210284232907838,
      0.219523323011093,
      0.234172609233149,
      0.245302326713754,
      0.266938047334311,
      0.307346291339727,
      0.349809412397388,
      0.351649338858143,
      0.325163786148601,
      0.295704094657562,
      0.281330383351894,
      0.282938271881664,
      0.296246049647655,
      0.323444577441442,
      0.365250423714775,
      0.394621066857972,
      0.398749903022937,
      0.40337267108807,
      0.428979069040651,
      0.442162085060636,
      0.405636861899807,
      0.369034159975695,
      0.367663829951056,
      0.391491269844753,
      0.417798417748767,
      0.435297037905977,
      0.438034530179958,
      0.445256230681983,
      0.471460085190275,
      0.472496379604143,
      0.428902134593108,
      0.382918015191241,
      0.358236571464602,
      0.354723752998564,
      0.36054459101644,
      0.360781480837664,
      0.331012745903633,
      0.298310988675644,
      0.290886214617009,
      0.326869422876234,
      0.376727969622324,
      0.381799001227216,
      0.367801165281589,
      0.373607969085142,
      0.42210368641901,
      0.452235502363147,
      0.370334444813479,
      0.269532058256327,
      0.263213021884595,
      0.325142649501401,
      0.370983431919802,
      0.361510317228259,
      0.344917240526265,
      0.336762678936498,
      0.31786281430215,
      0.283439159715304,
      0.288103286178953,
      0.349978524711827,
      0.394691411160469,
      0.378799190448439,
      0.34585667558967,
      0.328593776496155,
      0.301238405682373,
      0.24249987772034,
      0.193695944955571,
      0.180283629490913,
      0.192019972709473,
      0.201723390988139,
      0.194791102148912,
      0.191289275139777,
      0.198694258080489,
      0.223518117781669,
      0.267490602684055,
      0.323459675031497,
      0.343624444338098,
      0.318193463379791,
      0.284957638663192,
      0.256660483756198,
      0.254115945879587,
      0.289374381438938,
      0.356138284514335,
      0.393831956620033,
      0.377710032324013,
      0.367572533425521,
      0.412636372274436,
      0.478839724763361,
      0.458156869728221,
      0.341389527934817,
      0.249000989383758,
      0.243345176256884,
      0.293814853673736,
      0.34509825109057,
      0.362800009683154,
      0.372747982143961,
      0.388110231178159,
      0.407426891924111,
      0.426374917997029,
      0.421268544906228,
      0.393979905761467,
      0.382563287079777,
      0.393720462729501,
      0.409017462414991,
      0.413882278652213,
      0.408038355505423,
      0.390911099554019,
      0.375248504592564,
      0.381267665047634,
      0.398997006502041,
      0.380707131706999,
      0.333530269471242,
      0.306059528261343,
      0.327086126458359,
      0.387045386747222,
      0.384858743659431,
      0.287980248806694,
      0.241759576373444,
      0.284928658339694,
      0.356275638352809,
      0.378224249664566,
      0.363458372392221,
      0.353946706275395,
      0.335978074385995,
      0.300970839474604,
      0.280424864468389,
      0.325950632907671,
      0.390446328617736,
      0.392951878050463,
      0.349676702070703,
      0.322144815124325,
      0.321065132525831,
      0.332717970065486,
      0.349549527276666,
      0.369306124024616,
      0.382019768789385,
      0.372551324709575,
      0.358168998674351,
      0.351759120491692,
      0.346528458369202,
      0.338146278362507,
      0.335906252688308,
      0.344530259560379,
      0.357044767632535,
      0.352604376973227,
      0.324169855412719,
      0.286944424734643,
      0.257025253410171,
      0.245674201118057,
      0.260362284726122,
      0.286578179196179,
      0.292737712143445,
      0.272823711949336,
      0.251344392876919,
      0.238070988775738,
      0.231090044552544,
      0.231610004328895,
      0.251091846489636,
      0.27170499847966,
      0.26608405573773,
      0.247978823704974,
      0.242653415428312,
      0.244826431345511,
      0.229941972470392,
      0.194919051201053,
      0.171893023209619,
      0.177951198262415,
      0.196250115259477,
      0.20585004895676,
      0.207191429334185,
      0.197197341429879,
      0.167413246827112,
      0.145176344187409,
      0.148790121547166,
      0.179014608870857,
      0.204613079765905,
      0.203668465956463,
      0.189871863526323,
      0.172139818002222,
      0.156532935376486,
      0.155024577862175,
      0.267923937910568,
      0.373786798300976,
      0.419193415194826,
      0.448225909800626,
      0.483972209490542,
      0.495243803713386,
      0.487437404071774,
      0.480570755597983,
      0.502379699487158,
      0.53127700340981,
      0.490766768300971,
      0.441856498378709,
      0.445948846109622,
      0.467787827159378,
      0.483552676008375,
      0.459245329187965,
      0.359859040844175,
      0.264890960179261,
      0.234788951091502,
      0.236451568048662,
      0.231614490940999,
      0.224490513975228,
      0.234422600649871,
      0.248294344435116,
      0.257469331465521,
      0.274187161407122,
      0.308184787039334,
      0.349772836520157,
      0.356911831645287,
      0.336203705331957,
      0.31420350864425,
      0.310268241041053,
      0.314392492417188,
      0.311525263361249,
      0.317276900390009,
      0.349636882691523,
      0.372945936653281,
      0.368368180491588,
      0.376420946619791,
      0.413647678872982,
      0.417322363434371,
      0.358735675153635,
      0.307088684106782,
      0.295950599507663,
      0.318846690696831,
      0.357158302076397,
      0.3897906517537,
      0.410451112602471,
      0.449309669747668,
      0.494698997478715,
      0.483834931514781,
      0.429460424908411,
      0.3942814548368,
      0.381135963178114,
      0.373547422221783,
      0.36134018316332,
      0.331466205106671,
      0.2811647880576,
      0.259392753987375,
      0.287888872263417,
      0.357153700496665,
      0.399053076882219,
      0.369269411154226,
      0.336146278632591,
      0.342497263410187,
      0.392527680397945,
      0.431742125162641,
      0.375811644266037,
      0.290726909082569,
      0.285817194805202,
      0.342632107101816,
      0.374187469542071,
      0.345545201734528,
      0.31687943946021,
      0.311496841927592,
      0.307586380684112,
      0.288884464560846,
      0.293877023561296,
      0.346336055798628,
      0.391172025880576,
      0.384122026274239,
      0.363588749550281,
      0.35587722932355,
      0.334089392877648,
      0.274938361623405,
      0.220748307342968,
      0.199401274768997,
      0.206728898613028,
      0.221906892420969,
      0.220367335773115,
      0.21936964901963,
      0.224353978127596,
      0.241224644522495,
      0.27593327128189,
      0.326619619018511,
      0.346454329894337,
      0.323568654922889,
      0.300425261387408,
      0.285676615998094,
      0.283318761597911,
      0.298780507987476,
      0.326471227010705,
      0.331512325462735,
      0.30735742382918,
      0.297249835757369,
      0.338631691003197,
      0.411591978637719,
      0.431527810759962,
      0.356398284444587,
      0.278166522833253,
      0.263674747159462,
      0.284878886551121,
      0.296517619758325,
      0.296433744948065,
      0.320488440441675,
      0.353131431985778,
      0.375090005009402,
      0.391738985672102,
      0.395433543170925,
      0.394177122823203,
      0.410479999952339,
      0.421733491342968,
      0.399876840329912,
      0.364961307762236,
      0.359334804400683,
      0.369548725192488,
      0.385721899112021,
      0.413651313241699,
      0.424875937108085,
      0.384655649485555,
      0.332186293136449,
      0.311518550048334,
      0.326752499469881,
      0.369623165037545,
      0.380531898407434,
      0.309122440060031,
      0.266834451040792,
      0.303446136642285,
      0.364729567194191,
      0.370425276042677,
      0.338509897565352,
      0.321623158438727,
      0.313576645865187,
      0.298407555839825,
      0.289755386671032,
      0.329205473454926,
      0.388339572810038,
      0.395112954039444,
      0.363849056475091,
      0.350346275173495,
      0.353745962336523,
      0.351149921267004,
      0.346218709123731,
      0.361645052729989,
      0.381546387275386,
      0.379937879567496,
      0.371756526481624,
      0.372584210953537,
      0.373160585027111,
      0.36419476588144,
      0.353370927340613,
      0.350829967683049,
      0.35930048270308,
      0.359300748052024,
      0.337291087525702,
      0.308732918426627,
      0.293398055275472,
      0.289416914969565,
      0.29477498973097,
      0.306541487218514,
      0.302171852636201,
      0.274273111725949,
      0.250358980752673,
      0.242913490970955,
      0.239047084311259,
      0.233436057270422,
      0.250249197629516,
      0.276526309199286,
      0.273496266544745,
      0.24742536061013,
      0.235286102702069,
      0.245754685915711,
      0.250276208936942,
      0.218510199410615,
      0.18526869057055,
      0.184161237951779,
      0.199445025818912,
      0.208275064486852,
      0.208954547230122,
      0.196873014585933,
      0.170803393465236,
      0.157688414634458,
      0.16908097620707,
      0.19955356470535,
      0.217852395724817,
      0.215710226933911,
      0.207757532268656,
      0.195026239870624,
      0.179267825158747,
      0.144086886329688,
      0.254831899004947,
      0.364460343345216,
      0.414431534386923,
      0.448387653445062,
      0.507789477492641,
      0.552960616546712,
      0.563011402079844,
      0.543908024579406,
      0.533990529031581,
      0.524308337097178,
      0.462870384781039,
      0.417542574432127,
      0.432458265541149,
      0.468191033679842,
      0.490778255039492,
      0.45490768604713,
      0.345230108761149,
      0.254131398785487,
      0.229092004679951,
      0.234635590261818,
      0.236972554496014,
      0.235610257924917,
      0.243914633235771,
      0.253576818792269,
      0.260646320639031,
      0.275386729568438,
      0.307325100103359,
      0.350023209407211,
      0.362080256946031,
      0.34556379330604,
      0.323359843760637,
      0.310803578982144,
      0.306396506326492,
      0.312216134801919,
      0.340645017632757,
      0.384718100073349,
      0.396134552598488,
      0.375867551870155,
      0.379908026474695,
      0.414055972164364,
      0.413201436050145,
      0.358295892669081,
      0.31675857772298,
      0.298410150304018,
      0.288336700579662,
      0.290589656236704,
      0.318222023341957,
      0.366409096755065,
      0.41861830745346,
      0.465773725565944,
      0.470601207442694,
      0.436358238688197,
      0.416700685415335,
      0.41956837603773,
      0.428725870543259,
      0.428161809764614,
      0.389181845357967,
      0.31612853381036,
      0.294921918677525,
      0.335418715792129,
      0.386484307787081,
      0.372536865179834,
      0.313212162234684,
      0.291751805564092,
      0.306426436141634,
      0.341646705922948,
      0.381963508847551,
      0.391066067484651,
      0.3626786635456,
      0.364570074191158,
      0.403409272982281,
      0.424055920332352,
      0.399501241375019,
      0.376545856009114,
      0.376142637087663,
      0.383556364310075,
      0.378167457309987,
      0.369175297779026,
      0.378465383387726,
      0.395925946746532,
      0.398089476400114,
      0.397577412261846,
      0.399779330270666,
      0.385001718547982,
      0.33656378805842,
      0.291900898533848,
      0.280362385252749,
      0.303684665098381,
      0.333932355547126,
      0.333601691008277,
      0.328642965442091,
      0.326159995862813,
      0.3280892695248,
      0.345570029037516,
      0.39145430804724,
      0.423721645689831,
      0.413633074078161,
      0.400954778848853,
      0.384436496101019,
      0.357193246927452,
      0.337229073149513,
      0.323115016652836,
      0.300994073609698,
      0.283759736119411,
      0.289950156452787,
      0.323160811888959,
      0.368235022959648,
      0.401776494078964,
      0.391306567033865,
      0.362524267453324,
      0.344173802236044,
      0.324587852974655,
      0.29636176419842,
      0.284374605385839,
      0.309725533125997,
      0.350597837120775,
      0.393526924176019,
      0.417784074956947,
      0.413089583761207,
      0.398687721641611,
      0.401025753563507,
      0.402555877297521,
      0.384307859275675,
      0.365271648859798,
      0.375907834898201,
      0.398864246095536,
      0.422191177986806,
      0.447101629311255,
      0.451838245872881,
      0.413150093712866,
      0.378008830986318,
      0.377532804355972,
      0.396333706121589,
      0.418888497005159,
      0.431719307256328,
      0.390555533908304,
      0.353040528116362,
      0.372108869418952,
      0.416002678483736,
      0.420843841571397,
      0.397378250607827,
      0.385368070408077,
      0.382772128306975,
      0.381793814137713,
      0.381603491592382,
      0.391407168963947,
      0.405541245828723,
      0.401049991063684,
      0.386318566380866,
      0.385946463982589,
      0.391667279671271,
      0.383457604278653,
      0.366681261669353,
      0.373447159342607,
      0.395154986699984,
      0.399703352560864,
      0.392147339793434,
      0.387597622276776,
      0.381183925023105,
      0.371486909355484,
      0.360844544052307,
      0.356150534654062,
      0.363201915114387,
      0.367317112750799,
      0.348417546425127,
      0.314821701901269,
      0.287368262231989,
      0.28837508430133,
      0.320978712928116,
      0.368342612698289,
      0.379821148262972,
      0.344262453932328,
      0.313512921156818,
      0.313653468145135,
      0.31993028208034,
      0.309828952147226,
      0.323535477865944,
      0.366550394667529,
      0.388812368006636,
      0.360366580288789,
      0.325553140512212,
      0.319452953376977,
      0.33152833595064,
      0.309599743315752,
      0.267425018260294,
      0.243319065144561,
      0.228932842560795,
      0.217560895367863,
      0.211292982481412,
      0.194949647603308,
      0.168056186748869,
      0.160761049854526,
      0.178321808824304,
      0.208895176491194,
      0.222326289363543,
      0.223142476036753,
      0.223310401442368,
      0.212206890579127,
      0.191285401124907,
      0.130277863930648,
      0.237328137536574,
      0.3475667255118,
      0.401843671273468,
      0.444155273206658,
      0.516157490043927,
      0.577230388233368,
      0.601854054343094,
      0.584437277272528,
      0.555462770148007,
      0.515130740639407,
      0.441260353428885,
      0.395219841375437,
      0.42075629664764,
      0.482867991637861,
      0.525494959446706,
      0.475968928878292,
      0.341699535340136,
      0.243184010080496,
      0.216047857179074,
      0.22337170456069,
      0.235116949703233,
      0.240025245035101,
      0.246650085917646,
      0.252643678883367,
      0.257668590312832,
      0.272516284150529,
      0.307757209451659,
      0.355350073853838,
      0.371061546031813,
      0.355904962588496,
      0.330220481031396,
      0.306474941673645,
      0.301566058936143,
      0.331449982084323,
      0.39187493469241,
      0.451634923362833,
      0.463243368232018,
      0.438639899003576,
      0.426866989583567,
      0.439848787723239,
      0.452876374477497,
      0.449811261389147,
      0.457660156259993,
      0.458210826592518,
      0.436323071910134,
      0.410179629195525,
      0.412447737234801,
      0.433459588941789,
      0.445115570697087,
      0.475313458631107,
      0.503879071912374,
      0.496991847134001,
      0.483681940036301,
      0.493198015257681,
      0.523433319461479,
      0.553719206723165,
      0.540323761341792,
      0.467589426850392,
      0.418825083784107,
      0.402079642763694,
      0.381263722639177,
      0.328284107818705,
      0.281991286409854,
      0.277385039508807,
      0.28944932309727,
      0.30949253929613,
      0.360425945457392,
      0.436283513917269,
      0.474019093678318,
      0.496372134458875,
      0.525432826183226,
      0.548897834808113,
      0.550645224556252,
      0.543927811600698,
      0.53735904605085,
      0.542346202164222,
      0.550962682034402,
      0.540853331840674,
      0.511584429946555,
      0.489257447473181,
      0.48333491817626,
      0.487276828701394,
      0.487519537386007,
      0.464234637885831,
      0.405858445412525,
      0.364111761409923,
      0.367289594540199,
      0.405731178979103,
      0.440694992302418,
      0.443447295891668,
      0.440071303580361,
      0.432773602957818,
      0.423248662232096,
      0.424306314399224,
      0.452678205474504,
      0.481563942981235,
      0.486289051563657,
      0.488718537084983,
      0.469105106282419,
      0.426275793868429,
      0.400308040879476,
      0.399457035187104,
      0.408992342110332,
      0.424862566237168,
      0.445945190500996,
      0.462920466514279,
      0.473733533390568,
      0.498678426045243,
      0.5117546416284,
      0.498501889939421,
      0.478142742901544,
      0.460455687323459,
      0.446335063052076,
      0.431472884523703,
      0.417635457880504,
      0.413889013319251,
      0.455289209670339,
      0.510130032588778,
      0.545670823591647,
      0.539951905809435,
      0.511895033500458,
      0.483779612499941,
      0.470307206387988,
      0.474721635772294,
      0.484292252357651,
      0.492473026902149,
      0.495322609189934,
      0.488503727311,
      0.466385831589785,
      0.424533546383525,
      0.412112373772527,
      0.439600300448979,
      0.473359457747337,
      0.495371249165987,
      0.526037858537065,
      0.524223090895076,
      0.499145872779176,
      0.504666169442628,
      0.537847307147536,
      0.557364311893289,
      0.555097976810486,
      0.547094620599697,
      0.538706390509441,
      0.540543045258691,
      0.548308614022473,
      0.541103916928349,
      0.511642555393915,
      0.486282113571784,
      0.477022387135424,
      0.47598515681854,
      0.469695674275477,
      0.451565087520895,
      0.426352635862473,
      0.415970351668076,
      0.421100942543443,
      0.417224838528214,
      0.403823043236123,
      0.392894593400186,
      0.380780673642327,
      0.371311610303289,
      0.36380536012609,
      0.362513940027186,
      0.369566945592111,
      0.375196827778556,
      0.360189056346821,
      0.321905230535155,
      0.27702346339453,
      0.282763529741723,
      0.36506927758475,
      0.493875698446698,
      0.565059154576316,
      0.532637619513906,
      0.474700081558432,
      0.455398405751895,
      0.469741203269351,
      0.475233704468951,
      0.501650858669101,
      0.570114941822191,
      0.611755744149632,
      0.560475024907997,
      0.486452971974942,
      0.450193796052305,
      0.448084740967179,
      0.416638856243321,
      0.3617107853805,
      0.315919245372483,
      0.267968524497991,
      0.228985670295235,
      0.212901987841619,
      0.19491395671187,
      0.166092872141,
      0.156681921901879,
      0.173122097075422,
      0.205060600791461,
      0.221309104540544,
      0.222882928722695,
      0.222000162346435,
      0.209041948516295,
      0.186126020220128,
      0.119180274027545,
      0.22287459469596,
      0.329508944561022,
      0.376420204941614,
      0.4049850449116,
      0.460523949428088,
      0.518222686833168,
      0.556499511089614,
      0.556074856018026,
      0.533532384998631,
      0.498452277318943,
      0.432732240984316,
      0.383846549216825,
      0.414126117289508,
      0.496370688896418,
      0.559466349588172,
      0.509007949866373,
      0.356144776787098,
      0.24300808460812,
      0.208057355352861,
      0.214845539277082,
      0.23190883747468,
      0.238928931016127,
      0.243538772873423,
      0.246273606874248,
      0.250420577101022,
      0.26902740009184,
      0.312292246984056,
      0.367047219446586,
      0.388500810219602,
      0.378991406761921,
      0.352997251400217,
      0.317411445245078,
      0.303470025805154,
      0.333700152942349,
      0.392604809126915,
      0.448627630289973,
      0.465147741396264,
      0.453662735651501,
      0.443414911596276,
      0.448731129806639,
      0.47879412431248,
      0.511010030586285,
      0.516036013876659,
      0.499062166295863,
      0.491371964517367,
      0.493759773572026,
      0.491132213423296,
      0.469137135940672,
      0.45099294568975,
      0.470282696233346,
      0.498816218816055,
      0.497668988837407,
      0.487219644736466,
      0.498805740432993,
      0.533350486218816,
      0.566286781601042,
      0.557332525920359,
      0.490213049379268,
      0.429460212670399,
      0.379917296821727,
      0.333603206079089,
      0.299763446222247,
      0.290205971769166,
      0.288467176582256,
      0.281519376506604,
      0.290899191490863,
      0.343367251142469,
      0.417371399737987,
      0.459704946393782,
      0.484516751379914,
      0.508687108206811,
      0.530088324471973,
      0.542601372149449,
      0.549774551577272,
      0.545672335822458,
      0.543277765832325,
      0.55239141516046,
      0.558327299340321,
      0.528896408119835,
      0.488385939226043,
      0.476511633458471,
      0.485880706925451,
      0.487028232044532,
      0.449222931183485,
      0.363325062345726,
      0.305342000096168,
      0.30799485680249,
      0.347467052162456,
      0.373241188001302,
      0.370616735577148,
      0.370927597052103,
      0.375408013158287,
      0.379314448359968,
      0.389608735450143,
      0.420473351417517,
      0.448578375606268,
      0.456330642668747,
      0.452245416750656,
      0.414714421954899,
      0.374682620301552,
      0.37660279637218,
      0.400122268647876,
      0.418346113046516,
      0.438070246790837,
      0.470917315808353,
      0.50202461647436,
      0.515428606675428,
      0.506957037620194,
      0.473690123973679,
      0.453839463808158,
      0.463973963444385,
      0.490807623633072,
      0.511902821640438,
      0.506922184169012,
      0.479917311183196,
      0.44775467716048,
      0.461421405858436,
      0.507345959454008,
      0.542306184173602,
      0.545079558583701,
      0.52978247965489,
      0.508484439197436,
      0.489965243230851,
      0.48477648053934,
      0.485890371775101,
      0.483174792792837,
      0.467636614915453,
      0.437889638082803,
      0.405373776384308,
      0.371846735395332,
      0.359246620280586,
      0.370480652855184,
      0.394227256290045,
      0.429560696747764,
      0.470552605147335,
      0.482278527585738,
      0.48421854830055,
      0.500011120734522,
      0.524719510735001,
      0.546867808488548,
      0.564204824586913,
      0.561676646581646,
      0.543798714612352,
      0.544082889734362,
      0.562390965073262,
      0.559295886690457,
      0.517953314230801,
      0.485540614080177,
      0.478141424794927,
      0.479863467589087,
      0.476021051889724,
      0.461975142874304,
      0.43921827534503,
      0.427772262185376,
      0.429792538600829,
      0.420784884546039,
      0.403928329205596,
      0.388535990631468,
      0.370292027477081,
      0.360079467705908,
      0.359915883627549,
      0.370253744354315,
      0.384416154964856,
      0.393440553672449,
      0.382055339892944,
      0.337968831530167,
      0.275204435095828,
      0.271621134414152,
      0.354132161659263,
      0.468325452236741,
      0.51298448280365,
      0.483045767601476,
      0.459245879127577,
      0.475989201426619,
      0.502098708677624,
      0.504227590944821,
      0.530084851494063,
      0.583359860142291,
      0.589492181640361,
      0.525360292888551,
      0.468810464139438,
      0.447307476560693,
      0.440629885525208,
      0.406339685739132,
      0.356833999280642,
      0.306473375286351,
      0.256171845230589,
      0.22348528313793,
      0.207852454532593,
      0.188452084555019,
      0.160317333166684,
      0.149157146253255,
      0.165893165978358,
      0.207050832152365,
      0.232432848280074,
      0.22884444011212,
      0.21763682097835,
      0.199882707236024,
      0.176183428830536,
      0.116858959914901,
      0.222391782119155,
      0.32974029684779,
      0.363507312339214,
      0.363974276343028,
      0.399623976214679,
      0.448126818743452,
      0.479187401967126,
      0.482325415856323,
      0.488187254935595,
      0.495209481672389,
      0.440570375072304,
      0.37224087160934,
      0.379437401268585,
      0.445013079206994,
      0.511407112578368,
      0.498629861891031,
      0.382276831208976,
      0.268391045730851,
      0.21568989447135,
      0.210171549604087,
      0.224602799765553,
      0.22953454561535,
      0.230042648068491,
      0.230691564504795,
      0.23829665531254,
      0.265260303885522,
      0.31764933767566,
      0.376442774405419,
      0.405412061874909,
      0.405320316807015,
      0.372761942059997,
      0.315527887950189,
      0.278668915391567,
      0.286728765699857,
      0.31718838110308,
      0.344323969957833,
      0.358369964479688,
      0.375070745772953,
      0.397116629595312,
      0.424408817633067,
      0.460913758413741,
      0.464181879671031,
      0.414051999164739,
      0.368677976792211,
      0.371621416874816,
      0.398700388341147,
      0.418904649991027,
      0.422401027050869,
      0.420798534619502,
      0.430537442855387,
      0.441576401401211,
      0.434021936159935,
      0.419852642862925,
      0.416696373219617,
      0.430228690591862,
      0.446623912169156,
      0.429838015487967,
      0.371866216568589,
      0.326747612321121,
      0.296294640389475,
      0.280970419508368,
      0.295348595165462,
      0.317106931563764,
      0.308578740225729,
      0.278936504034195,
      0.274969381530668,
      0.309545728681275,
      0.330961745752714,
      0.324314523042985,
      0.321561122373589,
      0.334662673249436,
      0.358118727063918,
      0.375352872861733,
      0.387048404595582,
      0.392913424059116,
      0.396860134937818,
      0.397336423111758,
      0.388061832191662,
      0.361006169071205,
      0.341031336573513,
      0.349344342825037,
      0.372192158060792,
      0.392837646073166,
      0.380616958632507,
      0.305790428592629,
      0.241288563883217,
      0.23161126575989,
      0.259620241816324,
      0.279755347942028,
      0.27442447134717,
      0.27178387591153,
      0.279290927002022,
      0.296278670670095,
      0.32546312146009,
      0.369861251367808,
      0.400610005819757,
      0.408929734481122,
      0.398755183638499,
      0.35021759539993,
      0.305446340136867,
      0.305842752740284,
      0.318406417191547,
      0.304694948044815,
      0.286480419402884,
      0.305161883219864,
      0.359692129206658,
      0.415146580147497,
      0.423812219750747,
      0.371748128061226,
      0.318091299321224,
      0.303842652525268,
      0.321832670475351,
      0.349526953637586,
      0.368018309101011,
      0.377005278421666,
      0.371136606206934,
      0.369779907144772,
      0.38410725872887,
      0.39053807799611,
      0.378730114450367,
      0.374115663731132,
      0.381567500732427,
      0.386890960214195,
      0.384686237429297,
      0.387728080022051,
      0.394890166243714,
      0.380805352765784,
      0.353932686826185,
      0.349192247624796,
      0.354603448205102,
      0.340729429805408,
      0.316768363374902,
      0.311422360188551,
      0.34114825266533,
      0.365283121503324,
      0.342665498751684,
      0.315877166730186,
      0.315180802092817,
      0.342860411220716,
      0.376914865071267,
      0.397971802656811,
      0.403185453531945,
      0.395326779415291,
      0.389618550019562,
      0.393308893118084,
      0.390468476306173,
      0.367206948263294,
      0.353531162203197,
      0.357836980215723,
      0.370827842042365,
      0.385537728900401,
      0.394955424094636,
      0.39326185420316,
      0.39298760803927,
      0.401871343604274,
      0.402423095413011,
      0.391085608885445,
      0.368963022118205,
      0.341172769455446,
      0.32890733005576,
      0.338697259109002,
      0.365400322848152,
      0.391321565483505,
      0.409061797003817,
      0.406892649721275,
      0.362003689346283,
      0.281486958914825,
      0.233962942917797,
      0.253480019370126,
      0.297718443814706,
      0.305300456920117,
      0.287041233834567,
      0.286453162963122,
      0.314220404259368,
      0.345935520066206,
      0.352352733705595,
      0.358779826269082,
      0.375660532770977,
      0.363792344393047,
      0.323702446990857,
      0.312427191473546,
      0.330845610963131,
      0.336309970155555,
      0.303856746622427,
      0.274239280797081,
      0.255828463975281,
      0.235632148730477,
      0.217360899235504,
      0.20118270635506,
      0.175517036983282,
      0.147294673488146,
      0.141098095191586,
      0.164701710046068,
      0.215321657105408,
      0.242440291622007,
      0.224265426389809,
      0.197997232260595,
      0.17877369481209,
      0.160782657818392,
      0.119039503008048,
      0.228455201230756,
      0.33938261707786,
      0.366833688752003,
      0.349504774272869,
      0.372341636614634,
      0.407953935841511,
      0.421168011213275,
      0.422533662052956,
      0.462859865069314,
      0.514501304149522,
      0.460156199770998,
      0.363205443364193,
      0.341937906506095,
      0.384873254464414,
      0.446357788445941,
      0.458754361424179,
      0.374781706653934,
      0.270523921722308,
      0.212190064776152,
      0.200818758912517,
      0.211912640355154,
      0.212821558147162,
      0.208595596267825,
      0.209918707755201,
      0.224044493236247,
      0.259820615272719,
      0.317754586565334,
      0.375311114939764,
      0.404622023919048,
      0.408028256635377,
      0.37343176781261,
      0.310898844895932,
      0.262484340852944,
      0.258379619328749,
      0.287889180123361,
      0.317589826397463,
      0.326792140853973,
      0.332184945928467,
      0.345579651623195,
      0.366465031176304,
      0.394499843126415,
      0.392939827915276,
      0.350236165461256,
      0.317559544156285,
      0.322475650689237,
      0.352216305382805,
      0.402604217753184,
      0.45781154360772,
      0.474436095192851,
      0.469666625265305,
      0.452235106521732,
      0.408239786716656,
      0.365724357840146,
      0.342520579972535,
      0.337159837489486,
      0.344796300384724,
      0.353543607179148,
      0.32582171541446,
      0.288596189583387,
      0.271199444447314,
      0.288955560460111,
      0.339251500438986,
      0.370010713673157,
      0.353252920999507,
      0.311786031180151,
      0.303123748552166,
      0.328730599238872,
      0.316624660267838,
      0.265869980009708,
      0.232426034714954,
      0.239790763367779,
      0.277437877200906,
      0.304833156923623,
      0.319824106891063,
      0.332832611507672,
      0.336036159613578,
      0.318747395377668,
      0.293646908273261,
      0.274029926381417,
      0.27106425327731,
      0.284032539998864,
      0.301675509161563,
      0.323379614974108,
      0.327618570034304,
      0.268731965657655,
      0.202223543686472,
      0.183310171904522,
      0.207311054225704,
      0.227594741789037,
      0.218038184669256,
      0.21148440065316,
      0.221102139655589,
      0.24681785588458,
      0.28950057245976,
      0.344270605072932,
      0.374410940198415,
      0.378003848311683,
      0.360985837731629,
      0.306267803082884,
      0.261918287827038,
      0.265140064533955,
      0.288119487371247,
      0.287528248138643,
      0.268644204914623,
      0.274772425378524,
      0.324723107469974,
      0.396723530830922,
      0.433497204535184,
      0.383462588676711,
      0.29486833912192,
      0.240440347037408,
      0.229146203412669,
      0.250572602318283,
      0.297501220939941,
      0.355223724224972,
      0.376149603648067,
      0.354596089383803,
      0.331714283605079,
      0.314099414979141,
      0.293607457219477,
      0.297522262528173,
      0.325437754091002,
      0.349365348959887,
      0.354827298556618,
      0.361983782787971,
      0.37060556438851,
      0.361429819959091,
      0.351537270654546,
      0.36574397042477,
      0.376907200699353,
      0.350520319689548,
      0.309496251708239,
      0.293885962229725,
      0.322649318410848,
      0.333180385872352,
      0.284701771615894,
      0.237152404488697,
      0.227224409266968,
      0.260276645625008,
      0.301547566261345,
      0.322956708326852,
      0.33539312407103,
      0.339208337055196,
      0.328928983154256,
      0.310092423769917,
      0.292027477706944,
      0.278593931216514,
      0.279344323163047,
      0.287761966392209,
      0.30231539750071,
      0.326045159629742,
      0.351464413858368,
      0.366644729090551,
      0.377429624233311,
      0.393508143712081,
      0.401727746864937,
      0.391492076063015,
      0.361486936299582,
      0.327381316355573,
      0.313941333238047,
      0.328142142658058,
      0.359066971743745,
      0.383458695304177,
      0.40248363084474,
      0.407795791379872,
      0.368356787749251,
      0.284874242452453,
      0.214914992477058,
      0.209453376224498,
      0.237626003077953,
      0.235448541292703,
      0.217332286201286,
      0.225660138735947,
      0.254392729548255,
      0.2668011209713,
      0.257717057322859,
      0.262275277418047,
      0.281328378504405,
      0.26920533594878,
      0.228491684991503,
      0.217927660106722,
      0.241204983529037,
      0.25140612222538,
      0.220982628413395,
      0.199176091289108,
      0.202478494579579,
      0.209558327706937,
      0.206528812638825,
      0.194602621473179,
      0.169820827769839,
      0.141130113758681,
      0.134605878688812,
      0.155845538909305,
      0.201608276112571,
      0.224534928203612,
      0.203049520326801,
      0.175170065275147,
      0.158200847408634,
      0.144025736007687,
      0.117114898299896,
      0.225188415929365,
      0.336054231155619,
      0.36569629062851,
      0.344204688656431,
      0.352235550053772,
      0.370934859809646,
      0.37919658791496,
      0.394173566656828,
      0.461194065160104,
      0.534571240719124,
      0.47718199246843,
      0.364116160998033,
      0.332085089774225,
      0.366371836746411,
      0.414046880109559,
      0.413908165169693,
      0.33589037616483,
      0.248011571690507,
      0.201845679219864,
      0.196405110984716,
      0.205930937200558,
      0.202014176364649,
      0.194637488862934,
      0.194910846920635,
      0.209174977843118,
      0.249410745959498,
      0.31682743910713,
      0.379499681593182,
      0.394861337137265,
      0.382542679354209,
      0.348036473050194,
      0.297937679586593,
      0.265918033314599,
      0.277894336826689,
      0.327232285594576,
      0.366651172168224,
      0.355327091974879,
      0.328914305649378,
      0.327039202288159,
      0.342558634985553,
      0.353773368755223,
      0.347266820811472,
      0.3250118599251,
      0.311193919136326,
      0.32402021396078,
      0.366470605038914,
      0.436205709211384,
      0.49469403717022,
      0.498071943767582,
      0.48560275560577,
      0.461156647872903,
      0.413483799932054,
      0.376694923677417,
      0.356919201858165,
      0.341991589024892,
      0.336548393787659,
      0.348072788893685,
      0.325731260193796,
      0.291766849969915,
      0.289107742182019,
      0.323668876964522,
      0.359935526492609,
      0.359135165009493,
      0.338704041510388,
      0.32123261635921,
      0.336296653225173,
      0.361889280733314,
      0.328482441669538,
      0.260263683205521,
      0.220341168376079,
      0.225068893834629,
      0.258232781072885,
      0.283595570882546,
      0.302071906989777,
      0.324902527670062,
      0.338477559669924,
      0.318220840158023,
      0.278261097939628,
      0.251789389595891,
      0.259547491051131,
      0.281699776007149,
      0.296933034052207,
      0.310008722274904,
      0.309536044453501,
      0.252074326963441,
      0.186651672766002,
      0.167395386441542,
      0.188582646706156,
      0.204798066057023,
      0.194997767825716,
      0.18988890353901,
      0.198076482018312,
      0.223433308218755,
      0.272502781843135,
      0.337073197007307,
      0.365643012036863,
      0.355766168014461,
      0.331098732923607,
      0.280107254967587,
      0.242358219113323,
      0.25714285239887,
      0.311354804166465,
      0.351731110636662,
      0.34637711553412,
      0.335815325321431,
      0.359125884974675,
      0.410924759206972,
      0.437754651152781,
      0.38583219627068,
      0.291121141082299,
      0.228656997272532,
      0.221618710200544,
      0.265075843823882,
      0.337437330037147,
      0.409752460787622,
      0.430187119983544,
      0.391606691200173,
      0.342160290529625,
      0.314218236372376,
      0.306793331690837,
      0.325463509201046,
      0.356748993513108,
      0.375876225648324,
      0.373450880123801,
      0.363689774394572,
      0.357845295879709,
      0.362610437836652,
      0.381671018339994,
      0.403453986588104,
      0.392658865501467,
      0.348019844855058,
      0.311045641410354,
      0.31015992247491,
      0.345880622803252,
      0.348506392008071,
      0.28534167280484,
      0.229424725385964,
      0.215967312308197,
      0.246402513430263,
      0.28403178377551,
      0.304056484722623,
      0.320205498160253,
      0.334934887434293,
      0.331223342515537,
      0.302778006554506,
      0.269924769706912,
      0.259942186473534,
      0.273906207189055,
      0.285390740760111,
      0.291004320960548,
      0.303633829826788,
      0.33124865622729,
      0.364148169242104,
      0.39112211162874,
      0.404108870715125,
      0.402169007231683,
      0.387875092951455,
      0.36107172505498,
      0.330277743815045,
      0.312448455663336,
      0.322483652767525,
      0.355370408641844,
      0.380886553918765,
      0.386860707564233,
      0.378210966748698,
      0.339827777301319,
      0.269408817686649,
      0.213874050309149,
      0.222269295882986,
      0.261325123728988,
      0.255543680025299,
      0.223031189117785,
      0.221427197391924,
      0.243114412851044,
      0.242844757430608,
      0.226187909570541,
      0.239117834242981,
      0.270816795065299,
      0.266195026500999,
      0.230294914465864,
      0.223386745511989,
      0.24671282596063,
      0.25162607296456,
      0.21333705952201,
      0.186765109731094,
      0.189606263812878,
      0.197172014332793,
      0.195875984982959,
      0.186036787620987,
      0.164273496422558,
      0.135613370837538,
      0.125882192378072,
      0.140031152544444,
      0.17477901595687,
      0.19424517305734,
      0.183284987781175,
      0.165521749257047,
      0.149554889961094,
      0.133977983421049,
      0.11642777142073,
      0.222533591218398,
      0.330472217396451,
      0.360703821629251,
      0.340404580136966,
      0.341638015191018,
      0.35332619961618,
      0.366056422241947,
      0.391036436001972,
      0.458810053514583,
      0.52666466148973,
      0.475670955299781,
      0.365842133917879,
      0.323525390521298,
      0.342508323244326,
      0.378940450371791,
      0.38003904521027,
      0.311632642664548,
      0.232362993089824,
      0.191954227753202,
      0.18865034080801,
      0.196933374830334,
      0.193359310844206,
      0.188700625081851,
      0.187706565449816,
      0.197118815990941,
      0.235221741198858,
      0.307244831979329,
      0.372809384611821,
      0.373976468157169,
      0.34720754457204,
      0.317802680382346,
      0.286558750095537,
      0.280294488749005,
      0.31630078300689,
      0.374980883671942,
      0.402035441953899,
      0.368881152225207,
      0.334753050086638,
      0.339418169237212,
      0.359698581053851,
      0.356173597304462,
      0.327188948813098,
      0.305971552569973,
      0.310588002053603,
      0.339122174938113,
      0.381071749414868,
      0.427116918312737,
      0.447204525543186,
      0.436079395819423,
      0.427836469843144,
      0.406853727613973,
      0.384646146705891,
      0.393660749861714,
      0.409198164264427,
      0.398850017764846,
      0.376574231868551,
      0.362807222889138,
      0.317227531959622,
      0.277824313032273,
      0.287146429330735,
      0.335061638472136,
      0.35904987996099,
      0.328074736997511,
      0.29644957424309,
      0.296225051038275,
      0.332154385762505,
      0.36020607928136,
      0.328228416449343,
      0.266260236493829,
      0.227092529132241,
      0.220770303519583,
      0.236440835697424,
      0.25863351673085,
      0.292436205973961,
      0.338093149596628,
      0.367749827142963,
      0.348001563501564,
      0.296392531315568,
      0.258332207547087,
      0.255286168153736,
      0.266094804846803,
      0.279286877838657,
      0.297985401432473,
      0.299821407569231,
      0.242969686532669,
      0.184051304955314,
      0.170033107065952,
      0.189941345956339,
      0.201922186654021,
      0.189999465967606,
      0.181220863340529,
      0.184053374462699,
      0.207336851463531,
      0.260128845702936,
      0.332730552935315,
      0.359627810913222,
      0.333230043487268,
      0.301506083685737,
      0.260106707733266,
      0.223241585040209,
      0.220851551545913,
      0.260558268621633,
      0.315134849657961,
      0.338947525947295,
      0.343261642106636,
      0.354362316184539,
      0.376637688767645,
      0.385404935360885,
      0.340374957477596,
      0.257669393315327,
      0.205850241521178,
      0.213540438172828,
      0.267559966559881,
      0.327713239738018,
      0.378086066372188,
      0.401211947501173,
      0.394851374842503,
      0.363572525556537,
      0.328778591582365,
      0.316490850337121,
      0.340221668276996,
      0.375223476729939,
      0.39218320858139,
      0.388379614686416,
      0.371302747225751,
      0.351446494691584,
      0.360576968593682,
      0.40092127528215,
      0.419160485371417,
      0.374184284714877,
      0.314882662206594,
      0.296585121494432,
      0.319430353190083,
      0.35601905601361,
      0.354241257631733,
      0.293634476355658,
      0.236953846589131,
      0.215389679619612,
      0.227974163068786,
      0.252668130743365,
      0.281229341696371,
      0.321009200736781,
      0.358027258650173,
      0.363089167062336,
      0.328582724691669,
      0.282004376953834,
      0.259714599821571,
      0.262763502986866,
      0.27038035842151,
      0.281805637419092,
      0.30198317883094,
      0.33179945398255,
      0.366635934293518,
      0.400720554927462,
      0.409591572519551,
      0.385918340177272,
      0.356536982627344,
      0.334249535758015,
      0.313874593206802,
      0.299271319442559,
      0.310632819599131,
      0.347862591584589,
      0.374735008346162,
      0.36688730360141,
      0.344121047640924,
      0.308386813695307,
      0.25392198282922,
      0.219748251157912,
      0.239589894646146,
      0.279191073359605,
      0.27228230675734,
      0.232671022355185,
      0.215612790554311,
      0.225813390282046,
      0.232190134119411,
      0.23039195824696,
      0.253155577912319,
      0.286717705848979,
      0.283743412630474,
      0.250139904391198,
      0.237416333579217,
      0.249258752839247,
      0.256748201846967,
      0.233860311000268,
      0.212371568218817,
      0.207394601000647,
      0.203229555409705,
      0.195707537369496,
      0.182231239451668,
      0.158577543372717,
      0.130754329332146,
      0.121609929715943,
      0.132235585837416,
      0.160657081970621,
      0.178906419475383,
      0.173489884752464,
      0.159101988955424,
      0.142882741551845,
      0.12882142092987,
      0.122866323785534,
      0.231891878015005,
      0.344759346346138,
      0.381558632691861,
      0.357906978021001,
      0.345603654490598,
      0.350411933268773,
      0.368371955694479,
      0.394534174045005,
      0.447713737915852,
      0.505260084132172,
      0.482486370116301,
      0.389507011216401,
      0.327488482409718,
      0.31796002351305,
      0.349782370884618,
      0.373882806783825,
      0.322464654396536,
      0.244211846839541,
      0.202211129386703,
      0.196346008538119,
      0.199791891357809,
      0.19182619945438,
      0.184448823329019,
      0.182473892257372,
      0.191170109912604,
      0.225379075774043,
      0.292061293878523,
      0.355398997115741,
      0.354109636948818,
      0.325350255982007,
      0.302047712734887,
      0.281687075716939,
      0.271344543665009,
      0.290719416016149,
      0.340332047741578,
      0.380109985343975,
      0.375801491122974,
      0.360382931144671,
      0.361975450717914,
      0.364584175628453,
      0.347919804462025,
      0.315006622487623,
      0.296895790494724,
      0.299279659314034,
      0.313131941435165,
      0.335867749921723,
      0.375651059282983,
      0.407763979727924,
      0.40831837558021,
      0.410159954620391,
      0.394729978669231,
      0.368125108505636,
      0.378248151489557,
      0.41605708266775,
      0.443581005275263,
      0.452577643813558,
      0.43080839463106,
      0.343475382016847,
      0.269637750438993,
      0.257687422988711,
      0.299537674746001,
      0.339340815710126,
      0.329035962156325,
      0.303316755401899,
      0.300218537947483,
      0.331959347807411,
      0.352909807126496,
      0.322807226836418,
      0.267168818502183,
      0.232751856451656,
      0.222414887021992,
      0.226004821322062,
      0.249162816754285,
      0.300681161180972,
      0.36038662722083,
      0.390417486518564,
      0.374166301795544,
      0.331653082994796,
      0.290853056601799,
      0.264595581598426,
      0.251453159443092,
      0.255585950280488,
      0.274756260820317,
      0.279143736109405,
      0.233353235767633,
      0.188821572577818,
      0.181573124757119,
      0.20269717268991,
      0.213852802242963,
      0.199356621890433,
      0.185123024698882,
      0.182623471773199,
      0.202545428120124,
      0.252923775860345,
      0.322878028388434,
      0.348936882150453,
      0.324031056097825,
      0.297770452153091,
      0.268497004742205,
      0.238184134512543,
      0.221566972981435,
      0.233553645632385,
      0.267933727689961,
      0.300854817390142,
      0.332280838363161,
      0.370227616482502,
      0.40290496164289,
      0.399237443721017,
      0.340125725383708,
      0.261718203531494,
      0.224811990055376,
      0.233636856578839,
      0.266986150032226,
      0.299565808627826,
      0.332833494651836,
      0.359867879784298,
      0.381590703201036,
      0.375665949228205,
      0.338647117172819,
      0.308256711661029,
      0.307975382702852,
      0.323495740637225,
      0.345195255184195,
      0.372629079006809,
      0.371691742595273,
      0.336060486358557,
      0.319974154227781,
      0.345686389911613,
      0.374266796998274,
      0.35506331327904,
      0.311981763251558,
      0.296544121371091,
      0.322301351144806,
      0.36209229476209,
      0.36133559526083,
      0.302764127258321,
      0.247806965336773,
      0.224269880418257,
      0.22313907409907,
      0.237419685072816,
      0.279134127763152,
      0.340795118613823,
      0.381967318238173,
      0.381319492506337,
      0.352939499118805,
      0.314450873781801,
      0.27893572235605,
      0.253476217863603,
      0.245787694649292,
      0.259685986785827,
      0.2882470656263,
      0.31854238958675,
      0.348300017515407,
      0.382806246100732,
      0.397688358047032,
      0.372874784276393,
      0.337724126284165,
      0.316138326607767,
      0.299354723993691,
      0.285037571318026,
      0.294259254980952,
      0.3308823202722,
      0.360610893784082,
      0.350213395300851,
      0.322007695439125,
      0.288492641040893,
      0.245254218923881,
      0.218803019819992,
      0.233373497537185,
      0.26523614691298,
      0.263821097558031,
      0.235416501972391,
      0.222522974175659,
      0.237948973794024,
      0.259081456922462,
      0.270339010503716,
      0.293491083534012,
      0.317656539648836,
      0.301881819357703,
      0.256226468814946,
      0.232572058961689,
      0.245015456844363,
      0.281808358838523,
      0.28931932309021,
      0.264166944645788,
      0.235593168658882,
      0.213594824752435,
      0.19889261672551,
      0.181550986185842,
      0.156768115585854,
      0.127429700319124,
      0.115526913660165,
      0.125816439815922,
      0.159457407082993,
      0.185091147936124,
      0.180480319494786,
      0.162451951321041,
      0.143593907281098,
      0.128468052199266,
      0.129473841700321,
      0.244035250160943,
      0.377123759842156,
      0.440386082763841,
      0.409165027592452,
      0.364993941978225,
      0.350119539508783,
      0.365267449783116,
      0.384430170564763,
      0.424548905282579,
      0.492679034864672,
      0.524711594306029,
      0.452786535029591,
      0.366067153511165,
      0.323683716432902,
      0.343739941961744,
      0.37429898258241,
      0.331384219256974,
      0.258023456288965,
      0.219330734330657,
      0.212250179251829,
      0.20962140863725,
      0.197166513870171,
      0.19031279754921,
      0.191559040057354,
      0.198938605232875,
      0.22388809884801,
      0.277319445370754,
      0.337561522256573,
      0.345723995279427,
      0.32986961578779,
      0.317178509443201,
      0.30058022662263,
      0.274315430157715,
      0.26369491120026,
      0.285042175366224,
      0.324825143262599,
      0.3494917287481,
      0.351544211874202,
      0.350958258319179,
      0.355036077491254,
      0.354747315563666,
      0.328521909124398,
      0.28695904489257,
      0.254456772746073,
      0.247787228482196,
      0.272334648106654,
      0.32380098700523,
      0.367803459151843,
      0.381957428227326,
      0.401418433121306,
      0.40744964147011,
      0.385754145939493,
      0.380101152285225,
      0.410323636024353,
      0.462033453836696,
      0.519093378319479,
      0.520862499077941,
      0.40899930018931,
      0.30346422675749,
      0.265627833639024,
      0.291003701317738,
      0.329686666523259,
      0.333594469001408,
      0.325386553772564,
      0.33227513324359,
      0.358695192748848,
      0.361422137708307,
      0.319596750477177,
      0.263982962139661,
      0.238047938197419,
      0.238713386040939,
      0.249583196510552,
      0.273475853977462,
      0.313784836646982,
      0.344866513568538,
      0.349705590707345,
      0.34093909708132,
      0.333125389314366,
      0.318305605371123,
      0.293586608437215,
      0.269785490591075,
      0.266613951847935,
      0.283374294348347,
      0.290101975397314,
      0.252600789655188,
      0.215452903628366,
      0.209679401140436,
      0.227177643578661,
      0.232631377231591,
      0.216244179940734,
      0.204313385379828,
      0.202331476709119,
      0.216607575057906,
      0.254938803750044,
      0.315209037554963,
      0.343678234572317,
      0.330524313133491,
      0.318882607442904,
      0.301236836917135,
      0.269688757533184,
      0.247522174582427,
      0.247175030533102,
      0.257845617885002,
      0.268486456240577,
      0.291664869950884,
      0.342190529575744,
      0.404213532290201,
      0.413564045200565,
      0.342022771480737,
      0.26994260333056,
      0.255155630128623,
      0.273659321823772,
      0.285415480305411,
      0.285716891037163,
      0.304578359274954,
      0.333867280115424,
      0.351908708675862,
      0.34594551793801,
      0.323285521041019,
      0.303494616550265,
      0.304118433700506,
      0.320750517419885,
      0.344904914089877,
      0.369656674749059,
      0.368506527294901,
      0.342868287143823,
      0.321383131586169,
      0.322697211207638,
      0.341560626979786,
      0.339227976855979,
      0.315660304650412,
      0.310617632117188,
      0.342173861310359,
      0.379707333526995,
      0.370651703947917,
      0.30588774304971,
      0.252206875875776,
      0.236594065815828,
      0.245555100914467,
      0.265873364696452,
      0.304110314903309,
      0.344143223670732,
      0.354569818070915,
      0.345863390610716,
      0.344064638530523,
      0.340311987401645,
      0.316040179886366,
      0.279955146625351,
      0.262037836601119,
      0.272687517204508,
      0.295408198617512,
      0.312759731380136,
      0.328995716298246,
      0.360099382163578,
      0.378351500460019,
      0.361538376575129,
      0.335625727451313,
      0.319446269382033,
      0.299361499555518,
      0.27739303154589,
      0.277547813452485,
      0.306187877058193,
      0.337982573126164,
      0.338787787465065,
      0.324017625854661,
      0.299801602935217,
      0.257047757948438,
      0.218205226292035,
      0.221596660458665,
      0.251701535687272,
      0.254810953095768,
      0.229700068398509,
      0.220529687143959,
      0.249047549054346,
      0.289520167770281,
      0.304645744758986,
      0.317784578551828,
      0.334841860313452,
      0.31356395068234,
      0.25991614292999,
      0.22969231783987,
      0.24001955516763,
      0.288381191716602,
      0.323427739669632,
      0.309655377313412,
      0.266382681034841,
      0.222554099484318,
      0.20016766945755,
      0.185316814898269,
      0.16706343178074,
      0.138653367627888,
      0.12369109676195,
      0.13543589263592,
      0.177892619576835,
      0.212195099210816,
      0.207278934787615,
      0.184007176237833,
      0.157757878650725,
      0.135776449160668,
      0.131212072081377,
      0.252692146282438,
      0.413293852565526,
      0.513132693106229,
      0.480254803455069,
      0.407547098929358,
      0.369290988854877,
      0.371425396128048,
      0.37825826169737,
      0.41394706845545,
      0.499163373233233,
      0.567873209026578,
      0.50438019108656,
      0.399486813695348,
      0.336120163242522,
      0.343948177685464,
      0.365980304610154,
      0.325002400815906,
      0.261774024487506,
      0.232262048572367,
      0.228990918067265,
      0.226169225241075,
      0.212902593101032,
      0.207791766212203,
      0.212753902358241,
      0.222833646761098,
      0.249870415395673,
      0.30286829280365,
      0.36078314249997,
      0.363691632546855,
      0.342363318984087,
      0.322479004136808,
      0.302275255488333,
      0.280061844146077,
      0.270435704534922,
      0.278023508944144,
      0.310579251303324,
      0.346590465420283,
      0.354921300774275,
      0.350998644226514,
      0.362913072889396,
      0.3888347350165,
      0.386773982734092,
      0.346480234143294,
      0.288287473576617,
      0.24579918851956,
      0.241467464754774,
      0.2738596101032,
      0.310201668095327,
      0.330277454774654,
      0.367428269382377,
      0.406725435972813,
      0.403150502407065,
      0.382891110497162,
      0.387500634781529,
      0.42804401286148,
      0.482953695602233,
      0.485717718535025,
      0.395414402541472,
      0.314641891288804,
      0.285428364727637,
      0.301984777173077,
      0.325981910487404,
      0.330652803167341,
      0.340683853444026,
      0.357543887528194,
      0.372226518383568,
      0.363536531069084,
      0.323125872882419,
      0.27256425966936,
      0.260369613537745,
      0.284438925533115,
      0.317565326266763,
      0.344885733904913,
      0.366607119011022,
      0.360711458866164,
      0.330366308706451,
      0.310114526767303,
      0.326661925365866,
      0.351796375256081,
      0.350307506614919,
      0.322601174985828,
      0.304242159746436,
      0.304629018294154,
      0.298329185017111,
      0.257404249224591,
      0.21951412385051,
      0.213249555112822,
      0.230733939227648,
      0.236920398376798,
      0.221538375301486,
      0.21539244145065,
      0.219987507768106,
      0.236993793050487,
      0.273576108717583,
      0.33256967097922,
      0.357788323388662,
      0.336346334984704,
      0.315582261856642,
      0.29210253289854,
      0.265169798306527,
      0.259379653316877,
      0.263421567413194,
      0.254759715717127,
      0.239021742752372,
      0.246903005815844,
      0.295190525113046,
      0.368374229995938,
      0.393025531699012,
      0.325796233453843,
      0.256933875241704,
      0.244045344176313,
      0.263761914142042,
      0.268987349922442,
      0.260959400804221,
      0.289366407578067,
      0.34659918451576,
      0.371633704443897,
      0.351085848951543,
      0.324638710339512,
      0.306849546315918,
      0.306852352661375,
      0.328080574077634,
      0.366078898595736,
      0.404014055997974,
      0.41585946470258,
      0.401051140794922,
      0.374044574534593,
      0.349389357814181,
      0.343368041809909,
      0.335581899816532,
      0.321507689409141,
      0.323800431659045,
      0.350533094799191,
      0.376561376282534,
      0.361600151271911,
      0.298470246373607,
      0.257210653146906,
      0.262628085042509,
      0.296225987882652,
      0.332107702955047,
      0.367459310923867,
      0.38099928147803,
      0.350004294440896,
      0.312160190041197,
      0.314290898055416,
      0.349175185975291,
      0.36547756160781,
      0.340731237792562,
      0.306507121444431,
      0.295263464106853,
      0.300192119516075,
      0.312062547327682,
      0.334447538210117,
      0.375524073367825,
      0.398969744669146,
      0.381121306085877,
      0.350164243789635,
      0.327220825400048,
      0.304773577418765,
      0.285192530688538,
      0.288303375662283,
      0.318944394760412,
      0.353715199004584,
      0.356181870912176,
      0.339333234026074,
      0.309399963771293,
      0.26017762501998,
      0.215728560359409,
      0.217039459018381,
      0.244291362042938,
      0.244246433204943,
      0.218809474990126,
      0.21134371420294,
      0.236844714542882,
      0.271427749522183,
      0.281882493099947,
      0.294067418719233,
      0.314546725930759,
      0.299280395016345,
      0.257006504847937,
      0.235576187768181,
      0.238326758440338,
      0.254409924062923,
      0.270589843184354,
      0.268095966367677,
      0.2463833687557,
      0.217018563627825,
      0.198156104883246,
      0.186361042681089,
      0.173080009630014,
      0.144967811388061,
      0.128815967691954,
      0.143898061631541,
      0.191923489055233,
      0.225525914361001,
      0.215517206886586,
      0.191307536687739,
      0.167188414645876,
      0.146786976725811,
      0.1294728592095,
      0.257461381805036,
      0.42295045690978,
      0.523695409641811,
      0.496323483798035,
      0.432010239259822,
      0.393056744280096,
      0.387254392143431,
      0.391412749680239,
      0.434717299114744,
      0.51790619945791,
      0.560086326361734,
      0.486783443147483,
      0.394625349267106,
      0.347893561591671,
      0.36433800902751,
      0.387725722623279,
      0.360003495942349,
      0.30454346088035,
      0.264725943317801,
      0.241591459835231,
      0.229456622447692,
      0.220699645804973,
      0.221143530365103,
      0.229980008486723,
      0.242855321176736,
      0.276947967183954,
      0.336137315513638,
      0.391250514606711,
      0.385110025647537,
      0.354324478272216,
      0.322068373523241,
      0.300841111220269,
      0.29504767456166,
      0.299300135227277,
      0.313493337483217,
      0.342410136393453,
      0.365202329689987,
      0.37124619603979,
      0.380656573455428,
      0.39131142036849,
      0.389998190389715,
      0.384863600805223,
      0.381224675548071,
      0.353945332606688,
      0.311936421366744,
      0.283116733734192,
      0.29042537266665,
      0.321423179481137,
      0.337552214819248,
      0.36984443138945,
      0.423367326977598,
      0.428781737708161,
      0.389064220083319,
      0.360487308348378,
      0.372847231350252,
      0.409283933222995,
      0.420107635618869,
      0.372222287746549,
      0.330181181290508,
      0.319341754618013,
      0.332107708612592,
      0.337959203469702,
      0.331213741724586,
      0.343614920866666,
      0.354601108563711,
      0.356632567357614,
      0.352365395798178,
      0.31893868266627,
      0.265591066597544,
      0.266207958673701,
      0.316932102116658,
      0.365412600368636,
      0.388001758168679,
      0.401234957491637,
      0.379109535744174,
      0.321119660406373,
      0.277687816719133,
      0.303199900827001,
      0.366099953438703,
      0.396945307138023,
      0.378829838389548,
      0.354880078504051,
      0.342130752083768,
      0.32134369221116,
      0.278137234552956,
      0.232219657557785,
      0.21069608611251,
      0.216891762020206,
      0.228175312058073,
      0.218524316384055,
      0.213726081822172,
      0.220647988580114,
      0.246725715464713,
      0.296618492340242,
      0.361129115591607,
      0.378563523974133,
      0.345790895729763,
      0.310343586467208,
      0.269579348271253,
      0.249931493976563,
      0.266788693128752,
      0.289210692963228,
      0.288008145140926,
      0.271733242214017,
      0.272716759144198,
      0.307713901738502,
      0.365307746903357,
      0.373407018496556,
      0.297771965807627,
      0.222492229753099,
      0.208413864133888,
      0.237389473212775,
      0.265512093330201,
      0.271150537122833,
      0.291623618245489,
      0.338702497253982,
      0.374919100371026,
      0.37749973036928,
      0.354371149754087,
      0.318530619834239,
      0.294223174123561,
      0.306776529807551,
      0.36895416161849,
      0.453285460183255,
      0.49694038888688,
      0.48073135342155,
      0.437557592869166,
      0.390370378427078,
      0.363862916250043,
      0.346910658236899,
      0.334668812875255,
      0.329546215000755,
      0.331516906185573,
      0.343521194444265,
      0.339486782209113,
      0.282922297636068,
      0.249961564229731,
      0.280688569937078,
      0.342451704385687,
      0.382752235699237,
      0.403520950065603,
      0.400100746233343,
      0.348530720033451,
      0.289049253684508,
      0.281275290389211,
      0.340731996753441,
      0.395998693503607,
      0.392318959206228,
      0.35665548009026,
      0.336163954793121,
      0.329850886464031,
      0.341295271934365,
      0.378182336155798,
      0.420169785916916,
      0.427724553519003,
      0.403274377917502,
      0.37134836222653,
      0.341275236316958,
      0.317184792869654,
      0.302482030957473,
      0.310992050468515,
      0.344674132205642,
      0.378734544274575,
      0.380087339769172,
      0.355946205944569,
      0.315571693648924,
      0.267842668253391,
      0.231174983934921,
      0.231230528862241,
      0.244268618307406,
      0.234077941738772,
      0.210254292160126,
      0.204505878805229,
      0.219670281077109,
      0.239673010811744,
      0.248149845919736,
      0.266085006747346,
      0.289473470553122,
      0.275687629569298,
      0.242263341917025,
      0.230222818084912,
      0.233826270427155,
      0.230710195112454,
      0.221119449649446,
      0.210802572646155,
      0.203760013502822,
      0.199432319111775,
      0.197026594967277,
      0.191628111753567,
      0.17907922665393,
      0.150074825698142,
      0.131864795258405,
      0.142870850692836,
      0.185820486969363,
      0.21820378036801,
      0.21122821930953,
      0.190178718697152,
      0.169368989096793,
      0.150159808810342,
      0.130277470242835,
      0.260269353270552,
      0.402114503567299,
      0.466096871945318,
      0.456299652964513,
      0.439603536813839,
      0.421843957932959,
      0.411291625435488,
      0.417294503232488,
      0.468748302666409,
      0.528687072771664,
      0.506780324674768,
      0.424596173237189,
      0.376375629846889,
      0.373194270778239,
      0.404273265295372,
      0.422288503364354,
      0.394699348602438,
      0.334408786467153,
      0.278121261123393,
      0.235702557950886,
      0.221724692058018,
      0.227513792414954,
      0.235354942824987,
      0.238926104355981,
      0.248136296890108,
      0.290636663775655,
      0.356250456487121,
      0.398747718404005,
      0.378330038298662,
      0.352996509717727,
      0.32503900144588,
      0.298658508521231,
      0.295137461811387,
      0.313547542988791,
      0.355696990845092,
      0.407207729517877,
      0.42436085823111,
      0.416485248636575,
      0.423952585194137,
      0.42682417922405,
      0.394141816907006,
      0.361325286479212,
      0.349820737363197,
      0.336948376185494,
      0.328901710822864,
      0.335315353025812,
      0.359501944374198,
      0.387654827626021,
      0.391099802350757,
      0.409515961300384,
      0.449562789173601,
      0.44962348461449,
      0.405077543473225,
      0.361756572794752,
      0.343091431910297,
      0.347319610990003,
      0.353039457987478,
      0.325438026133703,
      0.308059261445902,
      0.319225117505348,
      0.347975396500234,
      0.361696522100239,
      0.352983069186265,
      0.351713743824118,
      0.342104775294467,
      0.345007509495562,
      0.368607778521514,
      0.341699686106164,
      0.268808172508299,
      0.265526452252897,
      0.327971838048475,
      0.374691928577023,
      0.370345809732117,
      0.358510163363457,
      0.337012042604996,
      0.29792818629517,
      0.262897677590858,
      0.283493128609851,
      0.356226847427533,
      0.40305410142241,
      0.393142704422729,
      0.379568238372794,
      0.374288821520267,
      0.350780990764517,
      0.309460704508152,
      0.261134692634129,
      0.221814973435582,
      0.207329831902094,
      0.21980506853014,
      0.219756301542807,
      0.21928756078664,
      0.227990395989852,
      0.257905244877599,
      0.309377207508743,
      0.365145425420546,
      0.368631619600615,
      0.333152294888562,
      0.30606336491398,
      0.272095780506507,
      0.261355902602492,
      0.298097572559714,
      0.353251796451666,
      0.374826786882916,
      0.352927001268263,
      0.334349727763251,
      0.352072328334887,
      0.398915493046636,
      0.396911521565376,
      0.316371070619778,
      0.235063837847529,
      0.227278618967024,
      0.275679819728692,
      0.32856474993797,
      0.340532936823853,
      0.339360271317053,
      0.343813097782269,
      0.358910848455471,
      0.376360138364993,
      0.368148128091329,
      0.34131601545269,
      0.324461348604357,
      0.328353017249706,
      0.357439010527878,
      0.412725645691555,
      0.448662848834238,
      0.441112485288778,
      0.429635384352531,
      0.420997113858286,
      0.406576824086293,
      0.372912767666731,
      0.345808532861818,
      0.331498194351206,
      0.324864545878619,
      0.33630810082171,
      0.337706736521639,
      0.276751412433775,
      0.242435179422117,
      0.286947080796168,
      0.359887129452066,
      0.383750865727512,
      0.373688190160285,
      0.357803617235054,
      0.318653793970983,
      0.275046995994576,
      0.26649320408403,
      0.327785848674968,
      0.3977882102009,
      0.404485769925015,
      0.37723356144659,
      0.370451236957647,
      0.372107180884767,
      0.381119848309824,
      0.415990128691153,
      0.446026705719759,
      0.420484294005078,
      0.37978644204458,
      0.360910314843216,
      0.345130373055864,
      0.321650675816912,
      0.307112313802574,
      0.325368880344059,
      0.36514186137054,
      0.387397641769084,
      0.379081538746912,
      0.362122380581823,
      0.328555133687199,
      0.281500743463293,
      0.240929167710334,
      0.231693487605135,
      0.240938023756879,
      0.243576925310145,
      0.233523893903198,
      0.22705436272772,
      0.226793986650862,
      0.228759810111556,
      0.231706606511559,
      0.247709931556635,
      0.261715623011145,
      0.247977428380219,
      0.229012871247643,
      0.22788720373531,
      0.23196062836808,
      0.220367061390049,
      0.199452389071369,
      0.185872403290938,
      0.186047221962744,
      0.193412645004261,
      0.202852494468669,
      0.205118679336389,
      0.195017555593558,
      0.16469119708169,
      0.146078602989376,
      0.158617926661682,
      0.200303864971003,
      0.223503719324117,
      0.212602045837095,
      0.200415448077573,
      0.187814803374756,
      0.168664008131213,
      0.125012420811079,
      0.245283112828322,
      0.364568783131555,
      0.412240050588063,
      0.437530336081977,
      0.474407623736208,
      0.481514051766575,
      0.465847172386692,
      0.461758306916247,
      0.501962961021645,
      0.532380660988758,
      0.46647000239417,
      0.389302606324275,
      0.383884780653023,
      0.411761560003588,
      0.437712638219562,
      0.430001111929853,
      0.369270344666225,
      0.288609586039291,
      0.236010825986634,
      0.212665308268541,
      0.212949378449617,
      0.220094473120266,
      0.228642430895436,
      0.232848369036334,
      0.240077183358726,
      0.279919826379774,
      0.351923677432719,
      0.404343224391942,
      0.380120698288516,
      0.346402984517839,
      0.318139880160076,
      0.289167190064752,
      0.276583930440264,
      0.28967976871113,
      0.333434883178903,
      0.395042163438973,
      0.417916650454717,
      0.402234307687429,
      0.399742484083284,
      0.415193053890123,
      0.402861292432058,
      0.353225647119499,
      0.304096776101302,
      0.278762220387734,
      0.29608442327384,
      0.341009862347569,
      0.383661122240959,
      0.400408926550339,
      0.398201763289314,
      0.409543713796572,
      0.430537261700372,
      0.432436912549053,
      0.407493227823234,
      0.374291853163223,
      0.342977486618464,
      0.325237300942392,
      0.307253177097636,
      0.266421245100845,
      0.258819570556961,
      0.295205508008273,
      0.346433348920679,
      0.36723972529843,
      0.352297434338064,
      0.336242004521072,
      0.315651993368009,
      0.322292096817419,
      0.358224020470769,
      0.342394338707104,
      0.27729145643852,
      0.279469398439379,
      0.344338841244775,
      0.384549481688794,
      0.364130686521973,
      0.339974008747836,
      0.32742183050167,
      0.311755226154656,
      0.284995196306441,
      0.285232420633351,
      0.333373728550784,
      0.373609196970531,
      0.368657236656889,
      0.36273651852636,
      0.363712096916161,
      0.332392368990699,
      0.265185809713022,
      0.213205705867122,
      0.19503104792881,
      0.207168092968183,
      0.229866574479885,
      0.228991220719698,
      0.223020996445416,
      0.224491844096637,
      0.250098860561295,
      0.30409021024184,
      0.365933499082711,
      0.371996094896568,
      0.337975913200992,
      0.315978105037287,
      0.287874636107972,
      0.265758792481112,
      0.2788717354804,
      0.309563204599311,
      0.311935771215849,
      0.287273474342659,
      0.28425315739159,
      0.323471329178395,
      0.381526368099254,
      0.39729253061365,
      0.342449512189064,
      0.265003246663215,
      0.244813393144158,
      0.276369613438614,
      0.313147082165021,
      0.323237518702929,
      0.33823175927011,
      0.349275772027018,
      0.345222302621812,
      0.344213531747427,
      0.345067797769655,
      0.343109698843159,
      0.349418710862452,
      0.35363702920629,
      0.347577406771337,
      0.352764051528821,
      0.363589987805754,
      0.362436353576682,
      0.379169452277615,
      0.40701686538014,
      0.417225820608372,
      0.386417428276754,
      0.350741907602148,
      0.329719980601655,
      0.323753820376008,
      0.342249286487004,
      0.350364647823182,
      0.292281966849683,
      0.258401000326218,
      0.302494351475624,
      0.371742884060355,
      0.386041630637821,
      0.363891825279318,
      0.346924656716107,
      0.325637405530873,
      0.299095101007722,
      0.282400853084719,
      0.316047861818929,
      0.372161298772227,
      0.382006256907563,
      0.362855242134547,
      0.361861151304292,
      0.36682847154516,
      0.375423049364324,
      0.41046141379675,
      0.448198088161748,
      0.421827365272111,
      0.369148148439181,
      0.343774368582806,
      0.331076692982513,
      0.308180402138868,
      0.291573434783799,
      0.313343951983849,
      0.36793224421372,
      0.402034444801039,
      0.386713119875801,
      0.358269115438428,
      0.320137286473614,
      0.269860023929107,
      0.230084896712289,
      0.22233391368315,
      0.23884056929973,
      0.254878686591467,
      0.256459509629823,
      0.256477100511648,
      0.255015590996942,
      0.243188974385219,
      0.23329172962796,
      0.248241727544295,
      0.265167014041226,
      0.252840425193539,
      0.228812162358995,
      0.222276535697313,
      0.230055779817481,
      0.228757355764562,
      0.203982563826708,
      0.182820961431945,
      0.181261782170592,
      0.187057451914443,
      0.197191683428794,
      0.205163247091573,
      0.191317796625084,
      0.154029535573314,
      0.139081087825428,
      0.162538395193182,
      0.209668470442622,
      0.221534066353179,
      0.197166890435145,
      0.183896166620579,
      0.177765408476516,
      0.165538588864648,
      0.113881754159803,
      0.219927287022916,
      0.32964068307406,
      0.384967611897432,
      0.436279132766884,
      0.504610169300084,
      0.534612405761968,
      0.523892388429197,
      0.505991704717946,
      0.52324215058414,
      0.53560060667246,
      0.465417864237461,
      0.401162820169298,
      0.420453626706171,
      0.461177042456485,
      0.466761306849336,
      0.415486612348346,
      0.327537489480645,
      0.251526208808838,
      0.221226472759796,
      0.221851984880669,
      0.228763360845384,
      0.225124775575675,
      0.223162687828439,
      0.220936264984108,
      0.224149763948812,
      0.259512846124703,
      0.330677022059608,
      0.391928143674328,
      0.382548990018022,
      0.353700488752316,
      0.328092948376962,
      0.305416723793731,
      0.282632493641327,
      0.280832070570154,
      0.319930222313616,
      0.382073104642189,
      0.40242207819296,
      0.375544083683481,
      0.363749273160695,
      0.396059882589238,
      0.423838221685871,
      0.386065644576775,
      0.330097487882926,
      0.305842666490825,
      0.319578355240357,
      0.350220426881661,
      0.385439623474033,
      0.407436321666782,
      0.412108245511807,
      0.427218361186086,
      0.448633345642909,
      0.448955170194854,
      0.430753566909431,
      0.408537418858698,
      0.382776808141018,
      0.365949978928905,
      0.343742992168809,
      0.293394432072245,
      0.272829941062218,
      0.293773246786925,
      0.331144757505212,
      0.350843088525974,
      0.342185020478747,
      0.324873905212637,
      0.306208172198368,
      0.315699659184354,
      0.350045817962827,
      0.356201988551892,
      0.324781635471703,
      0.334358211353322,
      0.388980668798305,
      0.426359850119359,
      0.414034366359876,
      0.399451257092767,
      0.401646884669226,
      0.402413296708912,
      0.377044162926986,
      0.351990503305154,
      0.364953108120604,
      0.400082902396493,
      0.410911615669707,
      0.402067036448816,
      0.385347923639961,
      0.346932126576374,
      0.276682708791068,
      0.229203277670831,
      0.230216989257072,
      0.267747247827416,
      0.292198961231603,
      0.279205132808675,
      0.26420703673652,
      0.257664349743497,
      0.268504984211859,
      0.310525924944752,
      0.378314958090168,
      0.406214332567536,
      0.386278501932523,
      0.373759678412331,
      0.358743659506767,
      0.326272524212675,
      0.307689239209289,
      0.309759489217077,
      0.305558966079506,
      0.293957165357284,
      0.305472371746313,
      0.341085424762535,
      0.372489923418614,
      0.379662186186153,
      0.356065823811157,
      0.31549597090036,
      0.296558750685094,
      0.297125205623071,
      0.297582759499959,
      0.297684394991149,
      0.325974150440441,
      0.358173502242796,
      0.373240262077081,
      0.3754195704747,
      0.382479087902879,
      0.381645432070432,
      0.378288122709884,
      0.36793300419229,
      0.344587235302435,
      0.335997214812693,
      0.354400566203884,
      0.365551607879035,
      0.370508180479499,
      0.38845879085361,
      0.402595521956275,
      0.380523497068804,
      0.353247069627272,
      0.350155936816175,
      0.365204783556238,
      0.391926830922234,
      0.405912335450812,
      0.358727701667298,
      0.324116245545101,
      0.355924341605796,
      0.418401071209317,
      0.436385936952077,
      0.419308277499258,
      0.409852517343828,
      0.403803640590362,
      0.388995208830121,
      0.367439573208528,
      0.370544953496212,
      0.399522337837029,
      0.412077412428501,
      0.396720270385105,
      0.38091885749101,
      0.371712749754168,
      0.374728531505121,
      0.399536300399447,
      0.43270206210731,
      0.421879523552095,
      0.377048502699261,
      0.346205302038701,
      0.332809966379599,
      0.311756397142934,
      0.291055622933469,
      0.301696207046039,
      0.347674842815745,
      0.386283045297529,
      0.380256001363131,
      0.353401884980938,
      0.315647347057642,
      0.273285620281391,
      0.246912333229994,
      0.255449064820722,
      0.298832523051501,
      0.329795546730604,
      0.325041867696565,
      0.319729760267065,
      0.326672222649794,
      0.320252174130581,
      0.301337982409824,
      0.312879266181605,
      0.342612391643941,
      0.354108656054388,
      0.330117486371418,
      0.305157710145338,
      0.301232377063693,
      0.308275272983036,
      0.286312552619635,
      0.252730126309239,
      0.232701964039234,
      0.213769019982006,
      0.201456551578064,
      0.202034518368361,
      0.193639320299707,
      0.16362131459036,
      0.150410388713325,
      0.172306842844358,
      0.218732496685233,
      0.230389005073823,
      0.203968168364499,
      0.185515847688148,
      0.17275918211026,
      0.160314614963404,
      0.106820283565185,
      0.205839026988856,
      0.314998769923775,
      0.373357758420969,
      0.406850490015369,
      0.45798390577099,
      0.501260722811094,
      0.518400167137448,
      0.507874684513028,
      0.512133692327475,
      0.526247925636842,
      0.480861046670971,
      0.425133966531168,
      0.44522884466043,
      0.492834257605212,
      0.503954806367002,
      0.440547132109912,
      0.345834210992486,
      0.279210442975388,
      0.256954164762789,
      0.254298713168438,
      0.247492722454806,
      0.231382995755057,
      0.227576056563647,
      0.230371118646546,
      0.231655674240227,
      0.257280510484576,
      0.320140183419077,
      0.386916592333848,
      0.390098892641189,
      0.368452836578642,
      0.347561455890794,
      0.334354999720382,
      0.324164436119726,
      0.335058742463476,
      0.375718536090305,
      0.42527476112716,
      0.436553231962317,
      0.411397019532838,
      0.392981591649664,
      0.405203370909248,
      0.437163010045749,
      0.45819072338202,
      0.475091537728199,
      0.47135987286612,
      0.448628070175018,
      0.433325752479852,
      0.462828967585794,
      0.498498704656244,
      0.496902607380663,
      0.498567958839083,
      0.502394836575189,
      0.486402223498621,
      0.479078452517977,
      0.485248243630893,
      0.48461018334766,
      0.482928481043272,
      0.465184203661471,
      0.385856855851362,
      0.315194995656537,
      0.289587726541436,
      0.306633061835535,
      0.339086781131655,
      0.348731627090984,
      0.338671931602093,
      0.329855997322331,
      0.349820120736547,
      0.389912968173026,
      0.423931111840685,
      0.427162672673754,
      0.443227266902941,
      0.480815472780807,
      0.505653090237608,
      0.49946391239333,
      0.495312037869548,
      0.500213391115229,
      0.509490633686298,
      0.510824515442889,
      0.500698730110897,
      0.491054643198348,
      0.502265676508439,
      0.505906590996183,
      0.482921515962529,
      0.447181160061724,
      0.399914993325206,
      0.324543624983433,
      0.277282216506464,
      0.285556707748199,
      0.327557281641363,
      0.345047691206448,
      0.330963096321501,
      0.319599829513534,
      0.30904969783466,
      0.307965399947816,
      0.338556266266345,
      0.408076213843224,
      0.450356221529418,
      0.441588667409239,
      0.430743228730988,
      0.426521120016806,
      0.4056953137288,
      0.395521606256087,
      0.418851916474702,
      0.452327776848819,
      0.467835318289028,
      0.477867467391175,
      0.4882533999875,
      0.483211196170481,
      0.464907887384375,
      0.44898088794739,
      0.454258676467774,
      0.470952644097973,
      0.48108709166125,
      0.468191654970126,
      0.440677019327778,
      0.425105076735035,
      0.412403101221506,
      0.429681480257382,
      0.472570805066084,
      0.525041997829726,
      0.527937923535983,
      0.488414430689681,
      0.435362778395084,
      0.396106943051964,
      0.398929191387604,
      0.428976120394529,
      0.432258625495622,
      0.400101086140515,
      0.378826274343777,
      0.38337778114959,
      0.37693464734539,
      0.360820808323221,
      0.365316414209482,
      0.39734477568928,
      0.444532818975533,
      0.481873709610008,
      0.461815141662204,
      0.434286095745152,
      0.450831766611263,
      0.494697132827264,
      0.509626205122819,
      0.503503594712961,
      0.506656633281491,
      0.511448339787549,
      0.514465047395346,
      0.515405280366052,
      0.512690095966446,
      0.508010309577514,
      0.507112887198221,
      0.48902172520324,
      0.45890960292032,
      0.432732913097221,
      0.423485104284347,
      0.427634592600895,
      0.441417685284748,
      0.43793891548724,
      0.403135910998531,
      0.365836911248201,
      0.342100675280433,
      0.317107645950243,
      0.295754580537797,
      0.306331986984588,
      0.349297188202571,
      0.386469823380756,
      0.38255109295351,
      0.359681586511772,
      0.326537675475489,
      0.296701002932507,
      0.291611160273824,
      0.334831519835651,
      0.428900587191309,
      0.49647640889627,
      0.495220335230559,
      0.477783594218247,
      0.480903228223841,
      0.483226997592349,
      0.469620136688588,
      0.485819369186314,
      0.529471735403286,
      0.550969038419403,
      0.50985987753277,
      0.46282902265998,
      0.446104183767552,
      0.44555868912611,
      0.412142466763264,
      0.362264160555811,
      0.317996475056889,
      0.265043375653751,
      0.228554730808103,
      0.220149521419679,
      0.211881409736338,
      0.186838339663238,
      0.179205348454917,
      0.199060327275554,
      0.234735299649549,
      0.239552918331685,
      0.217732909240993,
      0.200605601003688,
      0.185808892437721,
      0.182664730647697,
      0.0998866969006802,
      0.197462066157998,
      0.308125219923918,
      0.360936538619169,
      0.360098955032936,
      0.377886116148754,
      0.426702083464411,
      0.47215482441966,
      0.476081199603831,
      0.475962758135013,
      0.496786612107742,
      0.471595670622655,
      0.408688444754755,
      0.40544196867648,
      0.450883291912585,
      0.495179721698255,
      0.463850008306707,
      0.367373258882601,
      0.292195250254944,
      0.260953640683671,
      0.247453292604033,
      0.239343872681459,
      0.232153377875383,
      0.226835813827962,
      0.223219213790768,
      0.22678288130208,
      0.254917742862938,
      0.311602466096332,
      0.373610236183375,
      0.383011734669658,
      0.362243067324131,
      0.338146748847755,
      0.326179257886593,
      0.332791547255726,
      0.35959027299257,
      0.398000586162666,
      0.435520497942787,
      0.438673997737029,
      0.410655313634528,
      0.384000946864967,
      0.379215792864338,
      0.40456315468671,
      0.440174993809782,
      0.462870977423639,
      0.46386998189283,
      0.460037698757461,
      0.463031001461885,
      0.484591445707075,
      0.5012411508811,
      0.498594559437853,
      0.501501574421019,
      0.493903648085504,
      0.463053144522032,
      0.458773795819549,
      0.482110575257673,
      0.501510287471316,
      0.505608238948909,
      0.487852358404548,
      0.41043638544716,
      0.333315825988143,
      0.295153525970893,
      0.303151051391333,
      0.326597534030356,
      0.324825137095778,
      0.314157215361865,
      0.319627792100571,
      0.35129039971561,
      0.387426691937519,
      0.413611052785211,
      0.41639827562368,
      0.425746575451773,
      0.447718224311129,
      0.463496746515972,
      0.470940570801695,
      0.486516743349545,
      0.49457132240844,
      0.497507933532656,
      0.509961326175322,
      0.520450948212498,
      0.498649398982928,
      0.471986014186876,
      0.458989229963725,
      0.451132602688736,
      0.436606491258733,
      0.402861945900994,
      0.333670343842472,
      0.292598297564635,
      0.304191952629617,
      0.346756989621497,
      0.362810096007779,
      0.343956171266332,
      0.328436662180726,
      0.315748039151176,
      0.316158686405852,
      0.344549130726961,
      0.40983182193096,
      0.443982167467104,
      0.435625218794456,
      0.430834425442802,
      0.435650629687598,
      0.42376844982476,
      0.420786333853989,
      0.435262248229279,
      0.458690524688801,
      0.471150361442407,
      0.478179385262241,
      0.486826956114829,
      0.493129162211076,
      0.471926679317496,
      0.419049497913139,
      0.407429688939423,
      0.441264620192327,
      0.485178998146728,
      0.499739369324857,
      0.481238306384592,
      0.453486301073829,
      0.416997588831139,
      0.414935574423958,
      0.449833830854895,
      0.491105006422332,
      0.491401847729522,
      0.463909774284794,
      0.431538575294205,
      0.41659898092698,
      0.430950158786383,
      0.446141524453626,
      0.434004517090049,
      0.401014585409016,
      0.377678414011192,
      0.384703960861538,
      0.384772544755567,
      0.357958018140924,
      0.342682433896897,
      0.375029245923119,
      0.437479850670358,
      0.47239918308937,
      0.448666580742144,
      0.428830276296519,
      0.436920842642178,
      0.458525993860573,
      0.474422345505832,
      0.495876066532499,
      0.508635374121048,
      0.496974212933871,
      0.495917816090299,
      0.516476519661677,
      0.520959798940176,
      0.494784485219042,
      0.470848109777322,
      0.449715492629266,
      0.432984449527427,
      0.421829808368289,
      0.415492999679682,
      0.410025136145622,
      0.417491220315304,
      0.419414136548834,
      0.396599427334567,
      0.364178093073114,
      0.336166562097022,
      0.309782218373784,
      0.295410428093876,
      0.310820647468242,
      0.349346608919024,
      0.380830221736016,
      0.377723060698177,
      0.352811374981493,
      0.312904302294336,
      0.280691812324473,
      0.289942774892175,
      0.349596366643037,
      0.430561588183849,
      0.470627356681598,
      0.476822657557132,
      0.495382470050749,
      0.521076106625711,
      0.517105398430357,
      0.501650220996865,
      0.521562166618167,
      0.53315255799727,
      0.502017008684082,
      0.460127534580688,
      0.457405480271032,
      0.480469639277667,
      0.477671261284789,
      0.41224723995657,
      0.339540813365385,
      0.286807926908733,
      0.247027786562142,
      0.228555336053145,
      0.220281588903051,
      0.206478042501093,
      0.182612822110434,
      0.179656056790508,
      0.199490261240016,
      0.228495599694678,
      0.231363702751444,
      0.213451220384223,
      0.195179007056155,
      0.181656383807002,
      0.195075531977929,
      0.09461233910915,
      0.193944562278957,
      0.302435791829272,
      0.343740853061428,
      0.328314886994876,
      0.336590493223176,
      0.378732716769686,
      0.420296152741661,
      0.429251824681209,
      0.440884431425408,
      0.470326126393585,
      0.441226483700498,
      0.361096218337984,
      0.331312444244406,
      0.365750601151249,
      0.435845480202478,
      0.452353298353666,
      0.362447985231787,
      0.265118850083952,
      0.22153335585325,
      0.214231285116162,
      0.220467606762636,
      0.22257452242145,
      0.21991594026118,
      0.221059605763491,
      0.237968329252574,
      0.274842938885552,
      0.323136086049424,
      0.361428248052176,
      0.357985282796136,
      0.336410193752422,
      0.309506749577906,
      0.286070519751653,
      0.286459611201265,
      0.31216991592506,
      0.345178229339247,
      0.380358229806348,
      0.39850880950575,
      0.384866510999708,
      0.353491823417121,
      0.338172007921287,
      0.36767296949306,
      0.391309668990434,
      0.373151382793637,
      0.34643671018468,
      0.339348401148627,
      0.346440903678057,
      0.368053312492539,
      0.405150577561222,
      0.436008332574109,
      0.460010509047171,
      0.45147375737783,
      0.405885333083556,
      0.386527434904169,
      0.394905462912006,
      0.402931818547616,
      0.39679029427714,
      0.380177346285944,
      0.34106105511403,
      0.316003936171685,
      0.317659003098327,
      0.337406575585423,
      0.34364636915546,
      0.319421932408547,
      0.300803237929767,
      0.307679181260157,
      0.33783830820997,
      0.352120452806907,
      0.338969815674547,
      0.315349343518002,
      0.306871575034451,
      0.316666823123528,
      0.342448900139259,
      0.36961974349198,
      0.385734936984475,
      0.376530080013517,
      0.364232705816363,
      0.371350159613225,
      0.381342636571437,
      0.360174366457627,
      0.337210169883825,
      0.338022474181385,
      0.353665256492624,
      0.368199152194048,
      0.356974657756664,
      0.292991395846297,
      0.252113696107035,
      0.26553709118739,
      0.305508782572545,
      0.317318745798684,
      0.297672407757216,
      0.284274991815947,
      0.281972782172527,
      0.300739537030154,
      0.3372806888569,
      0.385891031376751,
      0.397764314871065,
      0.385277987893128,
      0.374496682830562,
      0.358488952207834,
      0.32774895359756,
      0.31835599303837,
      0.317319257079979,
      0.306634529646795,
      0.290835261783802,
      0.293429185705123,
      0.320337229406167,
      0.36700536548025,
      0.403547894312261,
      0.376493562343254,
      0.313744433953135,
      0.278520419225543,
      0.293445234996982,
      0.336367874408861,
      0.363856275487365,
      0.370475480246598,
      0.363167951880338,
      0.355558386351773,
      0.349715848791223,
      0.351869815359801,
      0.352202964886499,
      0.348897363650337,
      0.343709521704626,
      0.345272005594369,
      0.35972684360999,
      0.37557548578714,
      0.388119500081572,
      0.390473030200685,
      0.386598619245664,
      0.396144128048567,
      0.387388013070962,
      0.345737478939702,
      0.316852213379705,
      0.34108859282487,
      0.389832321471601,
      0.390894199980659,
      0.340669153247923,
      0.30731536281785,
      0.302482437725452,
      0.326280972303161,
      0.36158387637445,
      0.39011228825802,
      0.392660902125642,
      0.370165745625818,
      0.362587964455798,
      0.380561460772354,
      0.38633982078872,
      0.359562553825278,
      0.339561633502737,
      0.339071660031658,
      0.351967852208496,
      0.370567558306652,
      0.386051627322174,
      0.385743108920577,
      0.383407707180891,
      0.381917778447091,
      0.368994367278267,
      0.344408806227815,
      0.320658929680987,
      0.303167661928355,
      0.304926938029928,
      0.327662127429535,
      0.356929148704354,
      0.36808011971459,
      0.354138705589663,
      0.33009358954578,
      0.29271687199046,
      0.250893543302213,
      0.231299310617179,
      0.249814029089937,
      0.282523251358438,
      0.292854791259219,
      0.290465128141696,
      0.30674623970381,
      0.342216051350598,
      0.365785088946951,
      0.351822792429693,
      0.334958505233565,
      0.328374965464438,
      0.315542760992153,
      0.296926397707738,
      0.308194577107551,
      0.336189905325779,
      0.337261124667185,
      0.292513084507492,
      0.247899315651205,
      0.221152966990854,
      0.208475177080583,
      0.205582894901737,
      0.197479832777722,
      0.179186146848518,
      0.159925315293383,
      0.166500854947151,
      0.188921697822449,
      0.212969115426588,
      0.216410987309929,
      0.205543718795532,
      0.185369182672542,
      0.163337899762222,
      0.157738522933991,
      0.0966120486019136,
      0.202318937547927,
      0.310815914337453,
      0.341757111978978,
      0.325360745057072,
      0.336440369097356,
      0.36117140145586,
      0.377151974892912,
      0.383052020633485,
      0.414280833512255,
      0.456953992588419,
      0.424086199141624,
      0.339177334765324,
      0.303453990693009,
      0.332970710058334,
      0.405706656807084,
      0.454793626366701,
      0.391230737219752,
      0.281086357167828,
      0.2153522684082,
      0.201769977346156,
      0.210954569204856,
      0.215732582436835,
      0.220986154515921,
      0.238976103624259,
      0.274573292936963,
      0.320153181126164,
      0.359330211018036,
      0.376162476580803,
      0.358511334228507,
      0.330177056995067,
      0.294930553703166,
      0.259833013641073,
      0.24530039853617,
      0.268200609713379,
      0.319469082795916,
      0.367612968735146,
      0.380647653753129,
      0.365801010834741,
      0.349370009398273,
      0.346562174770723,
      0.367326503862505,
      0.365234697844598,
      0.325026126917043,
      0.291805926079979,
      0.289389720737754,
      0.307786175741658,
      0.340682653016054,
      0.380791028855606,
      0.41337349176389,
      0.452451753404303,
      0.454165435486706,
      0.401287592383531,
      0.367578667101804,
      0.361608202278395,
      0.355020043292602,
      0.337218797571107,
      0.327091991428057,
      0.314868024484759,
      0.310389275209376,
      0.320788008987385,
      0.340716832637087,
      0.349331801740174,
      0.328668519306712,
      0.312222225916303,
      0.326137847930379,
      0.369585511360871,
      0.371704561507289,
      0.312261883626699,
      0.251942715384462,
      0.22737567840056,
      0.241983863112161,
      0.291651578874494,
      0.326474303405748,
      0.322833791439854,
      0.296912619222703,
      0.28369173928177,
      0.288800950188344,
      0.294599914362084,
      0.289164359995173,
      0.300684701932286,
      0.33097215145826,
      0.351053577002055,
      0.363698683888071,
      0.356076600272822,
      0.282554434738856,
      0.203902964456273,
      0.182894721094394,
      0.205502660858343,
      0.223009648277273,
      0.215696046669411,
      0.215121838147407,
      0.235844187286707,
      0.274054346307421,
      0.316191742991371,
      0.353019335377798,
      0.356164781912546,
      0.332484820276316,
      0.308788047716714,
      0.274716979223503,
      0.244236843592543,
      0.252270887481173,
      0.279519617040418,
      0.292401052695407,
      0.294601410870668,
      0.30539037047793,
      0.325277375081299,
      0.365055042449697,
      0.431429740661056,
      0.426573049978394,
      0.325004287411737,
      0.23970365689724,
      0.222922040832259,
      0.263090938517953,
      0.311293507678848,
      0.351973195479525,
      0.373990173687355,
      0.368150551179358,
      0.334814331679497,
      0.296525665824046,
      0.274962617318147,
      0.285518201008369,
      0.316967620957747,
      0.343803329511074,
      0.351453930117555,
      0.35994111061797,
      0.375971214901349,
      0.380636313289944,
      0.376582709854072,
      0.380486522958752,
      0.36199706701054,
      0.316596185431744,
      0.290913888802578,
      0.312449424346654,
      0.351379746562932,
      0.335779446492099,
      0.273530198349634,
      0.230164465359238,
      0.224781685795993,
      0.265754165097155,
      0.319077454199698,
      0.336421414491709,
      0.31661182816194,
      0.287318338073939,
      0.280885529787575,
      0.291825057965618,
      0.299970869819085,
      0.300163521082805,
      0.318805706747453,
      0.338111049918531,
      0.351094715663695,
      0.376037067319105,
      0.41041630061959,
      0.412962504100201,
      0.385179206940435,
      0.368571067224813,
      0.35407573681974,
      0.332639430868108,
      0.317118276414715,
      0.316172201926186,
      0.334142775086524,
      0.360477087751022,
      0.381284243437959,
      0.381292415127162,
      0.36182415452341,
      0.334829614394369,
      0.292077966989518,
      0.236718330843707,
      0.193883855189767,
      0.194806202785187,
      0.223779798190806,
      0.232438076922168,
      0.214704724381432,
      0.21301367058287,
      0.241837627887222,
      0.271332297689371,
      0.266165902224267,
      0.254873023353803,
      0.255641964934261,
      0.247363369393062,
      0.222793008834879,
      0.21456300965287,
      0.226938540720794,
      0.23315972952876,
      0.210734650609944,
      0.18747980924018,
      0.184814644549363,
      0.196276291171473,
      0.205401371298926,
      0.19748421172532,
      0.172937225963217,
      0.150351044654002,
      0.156040181907084,
      0.177408039737136,
      0.202449787591378,
      0.210914776666006,
      0.206766547180378,
      0.190046598953708,
      0.165419770043942,
      0.15566489245749,
      0.0969092482897496,
      0.204483285040217,
      0.319476754689431,
      0.358330308839504,
      0.34570908810341,
      0.353801659277366,
      0.362511225049678,
      0.358688368837422,
      0.359348964398265,
      0.402005178764911,
      0.454067877076175,
      0.426222708695793,
      0.350083561464603,
      0.318978084252791,
      0.339868732960224,
      0.390834487537035,
      0.438220162445038,
      0.397720938266098,
      0.295723365268277,
      0.221252479315569,
      0.198057232833533,
      0.202404116613262,
      0.206902665762335,
      0.216700333158424,
      0.245187152632521,
      0.279421314328341,
      0.308472013780405,
      0.336253421855615,
      0.36710208218196,
      0.365314712874835,
      0.33894436825277,
      0.301322521387344,
      0.259359943370229,
      0.2464712126752,
      0.28777030638603,
      0.36319139047731,
      0.408839525386237,
      0.390422775091658,
      0.362900103694021,
      0.365904974299339,
      0.382485306520852,
      0.385313705058252,
      0.347679400625596,
      0.299473117377336,
      0.283005780124291,
      0.302869961678938,
      0.339194287310327,
      0.372770559642842,
      0.377085651280309,
      0.375865885794818,
      0.420071433077489,
      0.448122016349543,
      0.429538845670595,
      0.417454962939303,
      0.411046411044074,
      0.386698649065808,
      0.352390869728619,
      0.32938562042076,
      0.299739476433802,
      0.282962721788168,
      0.292135093752571,
      0.319246160706783,
      0.340544316509455,
      0.326723038010257,
      0.308781330645272,
      0.328394098297832,
      0.392743771782353,
      0.404899119415651,
      0.323493099405354,
      0.241803628599441,
      0.212290974222805,
      0.231508889162332,
      0.279929137878028,
      0.308199387298532,
      0.312073900279858,
      0.314112469902167,
      0.320542337996731,
      0.304774658213513,
      0.273379172489974,
      0.263129710918574,
      0.297165852078952,
      0.34350144753076,
      0.371941154547948,
      0.400957714563894,
      0.407592935587414,
      0.318007850148916,
      0.205211260673295,
      0.159123948425,
      0.168781916263843,
      0.187201727842538,
      0.187560322540263,
      0.194683629968836,
      0.219152327808544,
      0.251230842252409,
      0.285422337189529,
      0.323238897573116,
      0.338362654310301,
      0.318416831098553,
      0.292512565522689,
      0.247605784342334,
      0.217443634760243,
      0.242857557589611,
      0.301970823112808,
      0.340090693315045,
      0.342289409022939,
      0.340693681729799,
      0.34698419864229,
      0.368374005757275,
      0.40652402278236,
      0.387218958812695,
      0.290673218115113,
      0.21908444758861,
      0.213708120896961,
      0.264261544277426,
      0.325967846643434,
      0.376837387136637,
      0.401531753748566,
      0.399503148985028,
      0.362114642741661,
      0.310855159721074,
      0.288654286947146,
      0.311108400479365,
      0.360721625647567,
      0.406316311962417,
      0.416459692728764,
      0.391663834221379,
      0.364396836370435,
      0.353874905557836,
      0.357020053639358,
      0.365565398705586,
      0.347144523809253,
      0.305490390474011,
      0.285722230739661,
      0.31142105630051,
      0.351697910061254,
      0.331996972813182,
      0.262608717145009,
      0.215826783203956,
      0.213591785842299,
      0.256755427787521,
      0.30465370444793,
      0.319891792735563,
      0.316623183684568,
      0.314637211134722,
      0.310578686588921,
      0.288704605669627,
      0.270906456838095,
      0.285679312016737,
      0.332455416960544,
      0.364911518484131,
      0.384322477542447,
      0.414210585570697,
      0.443767584117078,
      0.429117462002412,
      0.3894929477751,
      0.373856322216949,
      0.355398733061064,
      0.333092244454505,
      0.323017319995279,
      0.326036176867406,
      0.330368794736007,
      0.337213225639293,
      0.354906614647346,
      0.372720069892738,
      0.367545824114941,
      0.34369450072054,
      0.296889668240204,
      0.232243788335463,
      0.18594647188613,
      0.188579978318368,
      0.224966463866066,
      0.239617726743392,
      0.215200870697755,
      0.196882754193741,
      0.206561291607717,
      0.22401924968134,
      0.227669809620746,
      0.238642954014076,
      0.253032174729733,
      0.24957066052172,
      0.225034184250824,
      0.20906463908543,
      0.216117501088254,
      0.224022116504644,
      0.198963502908213,
      0.175249423215121,
      0.185301777440633,
      0.202214877517881,
      0.205223959401784,
      0.195021383633723,
      0.169251828672056,
      0.142855453813437,
      0.147100248044891,
      0.172495218085374,
      0.203644512808735,
      0.211421686469842,
      0.204674692246702,
      0.192676250170643,
      0.171218540554182,
      0.164567532196429,
      0.0936173181920712,
      0.197586002671808,
      0.324416616035616,
      0.38834165679019,
      0.375777473792033,
      0.36366260567889,
      0.359275170575354,
      0.356239722749917,
      0.361454432142059,
      0.407039121633958,
      0.459938201639472,
      0.439604177322935,
      0.374916271468793,
      0.344998002166583,
      0.350308644818506,
      0.374573662939301,
      0.39501348412607,
      0.353044993707861,
      0.270477739920521,
      0.213458959743849,
      0.194312809468368,
      0.191761496018253,
      0.191698281318405,
      0.200913370506806,
      0.224239869916531,
      0.250880082380863,
      0.281273596071052,
      0.319677281324494,
      0.355970435623217,
      0.352153076426885,
      0.326296983043137,
      0.291888384411289,
      0.260821431094587,
      0.264883951577883,
      0.313717187420268,
      0.375037841281773,
      0.391851991529708,
      0.349485255370226,
      0.331267966446585,
      0.368130300930631,
      0.408172453302582,
      0.39903592885551,
      0.345303565593965,
      0.306922676188822,
      0.294369791148871,
      0.300301822809786,
      0.314969041752285,
      0.334389273911203,
      0.329403958127689,
      0.31783781162124,
      0.35007231479702,
      0.375324300392295,
      0.3761235823045,
      0.391757163113761,
      0.414244765984217,
      0.41413133970568,
      0.391548055279562,
      0.34680952344356,
      0.270003810324445,
      0.226699970428739,
      0.235370116599659,
      0.278590914260087,
      0.324028918842978,
      0.328463352139498,
      0.307310377507333,
      0.30621326348962,
      0.35319374807875,
      0.373109117734374,
      0.312681068386867,
      0.244068036468336,
      0.221114262186061,
      0.236164964305542,
      0.261684145987895,
      0.280858859581556,
      0.316427749945524,
      0.373151370962888,
      0.407698198176297,
      0.367702468564543,
      0.289185402906328,
      0.251592046305257,
      0.272075378299875,
      0.308121538086661,
      0.342669513981807,
      0.384244632418179,
      0.393273880424797,
      0.306234993003323,
      0.206304860283989,
      0.165442727674926,
      0.170568664999988,
      0.18221716427449,
      0.180381429467766,
      0.185732689782881,
      0.206221471032927,
      0.237141969239908,
      0.275739177795433,
      0.317319003276241,
      0.331421022321474,
      0.309725426100191,
      0.282465979665657,
      0.240485768544677,
      0.207406466843454,
      0.215170164140307,
      0.249547777596536,
      0.267705337684981,
      0.260066854724574,
      0.265833721758802,
      0.294737699455166,
      0.327988514013254,
      0.349164237452656,
      0.327110416262542,
      0.256400901690711,
      0.207153738324779,
      0.201832485845851,
      0.228470666813562,
      0.266197846071906,
      0.310979950323036,
      0.355486322619806,
      0.396565047356416,
      0.389509460353568,
      0.329326092126781,
      0.293489760669504,
      0.316918621198629,
      0.370056838856959,
      0.415992534438524,
      0.420149543088125,
      0.376272705545872,
      0.327403924842155,
      0.308532396528506,
      0.318995613731196,
      0.345002287016658,
      0.347215202575802,
      0.319878828865989,
      0.300863344858503,
      0.313793381067739,
      0.34228225678555,
      0.327781247069697,
      0.265368381797012,
      0.220997490852403,
      0.220200982358616,
      0.250272603363636,
      0.2779905784183,
      0.304225425146826,
      0.350093588395644,
      0.393750322535767,
      0.389296369925855,
      0.330130001371654,
      0.274024726296415,
      0.266815737303986,
      0.291507671339309,
      0.316680039824042,
      0.350889926827072,
      0.398379604033363,
      0.430235509888502,
      0.41662564427881,
      0.386774755198176,
      0.373447896965002,
      0.348490412314788,
      0.322956804044976,
      0.31155407009503,
      0.305306185125952,
      0.299400640598047,
      0.307912905597282,
      0.335027226920667,
      0.357667115653866,
      0.352793088212263,
      0.3279527260751,
      0.28121115721602,
      0.228770005148755,
      0.202546867896702,
      0.210984769596905,
      0.237387496914561,
      0.243805906359734,
      0.215914499501653,
      0.188860500503147,
      0.184974452163802,
      0.196843595543494,
      0.210503502645734,
      0.237377600705246,
      0.260302059912423,
      0.259657618269028,
      0.235217601547381,
      0.218653205898073,
      0.229846381679239,
      0.246215353666282,
      0.219467278034146,
      0.188630211128039,
      0.196002833316162,
      0.203620234122071,
      0.191462163097549,
      0.174786734881345,
      0.15478658571214,
      0.133271913848269,
      0.133531089038819,
      0.155369091184097,
      0.190775333246994,
      0.204515856041183,
      0.195001884615696,
      0.180916621393704,
      0.160671108176223,
      0.147482631347771,
      0.0915685351781652,
      0.193003100001065,
      0.322211986621145,
      0.397974122669123,
      0.383524726701182,
      0.351806287806727,
      0.339620876748108,
      0.351854263147445,
      0.376980308963362,
      0.428922457970065,
      0.477400165642706,
      0.461852978367684,
      0.402766863081741,
      0.363638633357873,
      0.351455577683417,
      0.365599692993162,
      0.383238885852742,
      0.338560458732269,
      0.256315974113951,
      0.202642077983667,
      0.186014435981846,
      0.184126133353499,
      0.183211786378093,
      0.189036451876282,
      0.201241968263033,
      0.218483843597314,
      0.250904880491936,
      0.295496375420353,
      0.327109203588809,
      0.318099763522713,
      0.29778493519024,
      0.278667236390639,
      0.276174326516665,
      0.282835111971537,
      0.292819372492732,
      0.315738314142792,
      0.338767296583073,
      0.339020534571191,
      0.342616926457178,
      0.369994708765957,
      0.391230134254122,
      0.376530662998302,
      0.324480441633071,
      0.281178021002439,
      0.261373841154395,
      0.257134174840593,
      0.260183770121603,
      0.279855821767647,
      0.303867616434005,
      0.303101780576257,
      0.316093765027805,
      0.33682657608962,
      0.340748396271673,
      0.348826223256875,
      0.384639818028812,
      0.43440740670275,
      0.46366460974016,
      0.415734353311198,
      0.29729235063032,
      0.231083945453197,
      0.235663696253294,
      0.278991823931555,
      0.320320218549499,
      0.323868477087919,
      0.303666930921605,
      0.289909361143911,
      0.315060052633614,
      0.332946943250766,
      0.291770625667986,
      0.236921316069418,
      0.219930063229983,
      0.232236115002493,
      0.242975575660597,
      0.257277914784006,
      0.306414850811778,
      0.378734215611267,
      0.416175127203245,
      0.381737501115705,
      0.31297790761483,
      0.270267855209685,
      0.263350625121799,
      0.270387332283881,
      0.290068061102521,
      0.328095268055408,
      0.346464788330881,
      0.28457777639132,
      0.207767695397805,
      0.176624428025097,
      0.185274974138406,
      0.195948206985459,
      0.1919174705939,
      0.188599018149008,
      0.195553362812536,
      0.220193803590795,
      0.265620354415782,
      0.311932286682174,
      0.320272440523874,
      0.300539710679455,
      0.28429870027668,
      0.258507433077426,
      0.232523467134288,
      0.228047954705209,
      0.246532540438756,
      0.259834387154041,
      0.254841775310618,
      0.262880592931104,
      0.303442918912114,
      0.352977039470761,
      0.362736783228192,
      0.316857175298252,
      0.251796660402016,
      0.221157631491751,
      0.215585778020496,
      0.21650549961452,
      0.224031111731258,
      0.254642741733959,
      0.304229998254291,
      0.367004170665059,
      0.382948197265732,
      0.3304069218373,
      0.284387140122061,
      0.284815237161018,
      0.316035894593098,
      0.35668249051733,
      0.37622019693866,
      0.353285552578369,
      0.31987020730485,
      0.301186353834062,
      0.30460345854658,
      0.330231221630283,
      0.342607528422125,
      0.324199162888585,
      0.306348203452845,
      0.315581235469825,
      0.34571740878897,
      0.334590222746584,
      0.272362870287687,
      0.226655072831745,
      0.222547064502688,
      0.237159062008161,
      0.248904045206688,
      0.282635124141821,
      0.352660779722528,
      0.41146502960159,
      0.406720533910473,
      0.349523088449586,
      0.292771810698299,
      0.270255031882259,
      0.267956706386614,
      0.278477113405593,
      0.306049921104031,
      0.346078423699575,
      0.377427074394108,
      0.384577744856374,
      0.372058717219379,
      0.349568604229185,
      0.317540599072505,
      0.296281259049725,
      0.291367725925361,
      0.287003973254625,
      0.280226729326266,
      0.289854504964441,
      0.314084825479033,
      0.327846787356305,
      0.319225673677211,
      0.297469435426809,
      0.263161954450773,
      0.239503882864785,
      0.232494795688358,
      0.234343629125681,
      0.23769925139762,
      0.227632148619658,
      0.20837196652249,
      0.202532891789713,
      0.213605108164564,
      0.222730311330838,
      0.230714913792577,
      0.257968368398529,
      0.280652651733642,
      0.268392422323789,
      0.231299109903786,
      0.217398593212,
      0.246007056380379,
      0.279329651385647,
      0.250113503572176,
      0.207214181355344,
      0.200873575463735,
      0.198926165581446,
      0.185247954937055,
      0.172165630270899,
      0.15445105920117,
      0.131820208861488,
      0.127800032443319,
      0.145469078359391,
      0.180157169282752,
      0.199420278526375,
      0.192522789926229,
      0.1775100483261,
      0.159184323125904,
      0.149271972553406,
      0.0874806740150271,
      0.187217051898304,
      0.314041610117518,
      0.394298692388653,
      0.386378263995647,
      0.355594688135892,
      0.346680456144563,
      0.368471880098938,
      0.400973885598752,
      0.449225021445385,
      0.487055827104456,
      0.480143736272644,
      0.427464532421542,
      0.373181735993843,
      0.342581413165934,
      0.351698107147537,
      0.372305285365111,
      0.325260419484467,
      0.240090487185938,
      0.188304639777328,
      0.177482387465696,
      0.182120303999289,
      0.181326435538334,
      0.180901656565368,
      0.179283939238382,
      0.184124525053912,
      0.211773111262191,
      0.261525225000666,
      0.305277947971149,
      0.30230561695977,
      0.281695893988101,
      0.265105825617494,
      0.265403533073179,
      0.269999208588065,
      0.272420969996162,
      0.286948780031048,
      0.316866753369751,
      0.338989774372955,
      0.339012731982007,
      0.336443014329198,
      0.343025064718227,
      0.352292324854555,
      0.325417730526347,
      0.285836187070724,
      0.257247481837707,
      0.245688950869777,
      0.256432244566124,
      0.298474364477506,
      0.33897897864668,
      0.331536308940334,
      0.332728345348524,
      0.352540561956134,
      0.355872570532957,
      0.351616340722976,
      0.388285359575046,
      0.469157467171742,
      0.533529601934585,
      0.48459577419563,
      0.347243739083887,
      0.272443051992727,
      0.271283791029897,
      0.303617423278193,
      0.319477505719404,
      0.297171824464551,
      0.267918361457738,
      0.255173522824654,
      0.287041940567524,
      0.32076898927258,
      0.291843160394347,
      0.236017968625038,
      0.213579799336785,
      0.220113712521066,
      0.230657281428314,
      0.250476683004474,
      0.292803217966769,
      0.342309996933725,
      0.362448919684648,
      0.338983759789289,
      0.30053021120158,
      0.279924261600449,
      0.267719441167127,
      0.252029198779554,
      0.253926711167697,
      0.283044252230757,
      0.303719030777506,
      0.258790107106996,
      0.201357835580142,
      0.182440982861435,
      0.199388477997607,
      0.212819128412311,
      0.206947958414062,
      0.197961140850454,
      0.194257829474884,
      0.206118609624063,
      0.243829134087112,
      0.297431105296517,
      0.316813152890964,
      0.297109004996329,
      0.282256460748479,
      0.266594515885222,
      0.244560332945785,
      0.233193044092538,
      0.247542621761055,
      0.268033082807324,
      0.267252342290803,
      0.266148916987279,
      0.300079273450559,
      0.361654134692501,
      0.378908035932382,
      0.324772381019984,
      0.259781411449815,
      0.239189254133607,
      0.243174171565163,
      0.24344179520241,
      0.23588902478109,
      0.24711254066294,
      0.273827395909188,
      0.303811760321781,
      0.309032455471808,
      0.292402581821345,
      0.276254704146944,
      0.277954775030431,
      0.304613614222245,
      0.347265947592858,
      0.37047322110172,
      0.352460242184298,
      0.335993769988533,
      0.333574945935294,
      0.338194921326324,
      0.342419641510877,
      0.321101769843566,
      0.279984206614241,
      0.260580530075411,
      0.28621267940335,
      0.343220158590206,
      0.349901541483164,
      0.280731498143521,
      0.223108141402256,
      0.212676455477048,
      0.225839279531452,
      0.243031609531884,
      0.277896989087032,
      0.329399555102029,
      0.363031926886178,
      0.354942731089192,
      0.323443221249008,
      0.297305933399565,
      0.282538648625448,
      0.259121172814314,
      0.244423329856057,
      0.257134406444206,
      0.292550101424574,
      0.329567104327867,
      0.353770820032725,
      0.361553986250488,
      0.349531314118178,
      0.321508690489825,
      0.302073901785799,
      0.292775804315978,
      0.276389846812145,
      0.260039901232506,
      0.26567410853675,
      0.290296748589277,
      0.307838157652747,
      0.300094992025592,
      0.278567895387699,
      0.249311273347871,
      0.229703592361488,
      0.223332600551385,
      0.228081345537421,
      0.231830730835601,
      0.216005668651665,
      0.201316433384548,
      0.213021202303066,
      0.242555399457607,
      0.258237812637443,
      0.264967607206509,
      0.28777011121866,
      0.299276320615775,
      0.271638320829822,
      0.231183567326207,
      0.227641015177417,
      0.263377120637524,
      0.291233405441635,
      0.256974465709854,
      0.214944860135444,
      0.200374202363228,
      0.188143667285664,
      0.173581615109828,
      0.166824751383755,
      0.15225993920724,
      0.124837585540469,
      0.113589980530143,
      0.12640651264349,
      0.158728943979776,
      0.178988228760179,
      0.175612490583789,
      0.164759708007083,
      0.1494026997096,
      0.138073578283114,
      0.080928561659367,
      0.177490492796421,
      0.304610265622046,
      0.392193525429333,
      0.396254210406494,
      0.375509172016229,
      0.367577681317179,
      0.382319034637782,
      0.405430641442471,
      0.445266906172468,
      0.474511032216927,
      0.468033106342226,
      0.414038055503089,
      0.352564535094477,
      0.320292541842647,
      0.331257915454426,
      0.340196151477184,
      0.28585036894717,
      0.214591143892365,
      0.180293854924577,
      0.178370106542331,
      0.183030700687194,
      0.176320879053242,
      0.171757706288644,
      0.170798654172478,
      0.177604619382694,
      0.203212589403213,
      0.253171400095526,
      0.309524242904616,
      0.319959197174577,
      0.2987572071958,
      0.269120811993888,
      0.248207846839828,
      0.247470081685486,
      0.265487601874614,
      0.292438046346871,
      0.323951393456595,
      0.340199652641351,
      0.325092953348223,
      0.304022784942681,
      0.306331090974451,
      0.334985501189922,
      0.335684638205959,
      0.307906780536809,
      0.273937867765725,
      0.254273494265969,
      0.260685872501565,
      0.298299418755731,
      0.335489252294473,
      0.336644847678402,
      0.351728663375212,
      0.374160931839075,
      0.355029010573991,
      0.322338377668162,
      0.340506813052895,
      0.420464061570326,
      0.490031880775631,
      0.449260652715607,
      0.330712932172894,
      0.269065438617916,
      0.26502226164143,
      0.288915050778404,
      0.302565301976661,
      0.277723553400263,
      0.241193961807644,
      0.225989277395791,
      0.266787483458307,
      0.314834816552535,
      0.288869685130085,
      0.229178576156483,
      0.211208175342182,
      0.229621364008671,
      0.255108148271236,
      0.281840814756525,
      0.310234088688499,
      0.319677653018223,
      0.303055727171519,
      0.276452619050277,
      0.267396199608518,
      0.277102306606945,
      0.274495351396822,
      0.248682434186265,
      0.232670173622509,
      0.238027029275021,
      0.238664072935569,
      0.203848275041928,
      0.173134318693924,
      0.172309271968286,
      0.19216852048015,
      0.199503490180412,
      0.188516707447367,
      0.181590633495171,
      0.181454958933655,
      0.192909189568984,
      0.224011408800266,
      0.279824833838989,
      0.312399619157968,
      0.29782295473659,
      0.273140835023127,
      0.241532334629721,
      0.215455835594666,
      0.213936595174159,
      0.224723947417391,
      0.235741476197633,
      0.239747781563439,
      0.252108631561884,
      0.2894840841113,
      0.347387021450212,
      0.361326161961209,
      0.305325245075067,
      0.242375226883307,
      0.217684047253973,
      0.219788057518875,
      0.227582588225796,
      0.232572150219139,
      0.251967204133775,
      0.279705843737456,
      0.293627392317678,
      0.286830886016062,
      0.278810302672356,
      0.269742170722381,
      0.279581023859151,
      0.320097944077495,
      0.369403375629,
      0.386299818284693,
      0.367297856772884,
      0.355595807729817,
      0.348249373983127,
      0.338445407222849,
      0.330855472568897,
      0.301939508499342,
      0.249757862853764,
      0.21385384568588,
      0.231341654202305,
      0.29584148587321,
      0.320466107779329,
      0.259511178282795,
      0.208959214977234,
      0.209033497639717,
      0.237901072946602,
      0.269820892684098,
      0.303377264602994,
      0.324856424803672,
      0.315087009515145,
      0.287737197740232,
      0.272000891808637,
      0.279195376068674,
      0.284737603533222,
      0.260486786626965,
      0.232424269712948,
      0.229609887408126,
      0.249094525156556,
      0.278000474945611,
      0.307099764012651,
      0.33477992407102,
      0.350183621256698,
      0.341505494508406,
      0.322489087239841,
      0.298509505115602,
      0.26559394411028,
      0.244644663441387,
      0.252409916748903,
      0.282491747648929,
      0.311973838514785,
      0.316066227397559,
      0.296790229313195,
      0.257309981648993,
      0.217139551677237,
      0.194131039698979,
      0.195791496393776,
      0.208769493468991,
      0.207164943874007,
      0.199145055606494,
      0.210091312674551,
      0.237113513346506,
      0.253375377439748,
      0.25308083851542,
      0.261398581645381,
      0.265027232288724,
      0.249228137768425,
      0.226858508400308,
      0.229061956300232,
      0.251049575024375,
      0.261240801086323,
      0.233956124088621,
      0.204891213634399,
      0.190308685182943,
      0.175370738454978,
      0.163638393489312,
      0.160435371332632,
      0.146554129357825,
      0.116005071462319,
      0.102585338304691,
      0.114724320228544,
      0.145742049698509,
      0.163865940454793,
      0.161080478676599,
      0.152731560318118,
      0.139632596913499,
      0.124313587989449,
      0.0785018886320933,
      0.173335266150126,
      0.302924157075081,
      0.396191984885572,
      0.406412900764692,
      0.387962151192599,
      0.372527744431183,
      0.373486470223862,
      0.386367447938672,
      0.425647386169374,
      0.4574939514547,
      0.446786190373622,
      0.387030244292364,
      0.332235886723004,
      0.3163825693469,
      0.336281656607048,
      0.330055209570199,
      0.265082394929089,
      0.205868911751048,
      0.184468259934472,
      0.183292725534464,
      0.18228797697464,
      0.173462299278925,
      0.171202158254289,
      0.175919983091303,
      0.189307191876683,
      0.21722626855154,
      0.26428435327561,
      0.319375242510119,
      0.334251601102591,
      0.315805226259319,
      0.28235526270324,
      0.254224991795744,
      0.259110044288689,
      0.291771837045699,
      0.326287736590712,
      0.3432710191436,
      0.332031713858717,
      0.305427724780135,
      0.294369048618139,
      0.303686311602146,
      0.317625583841591,
      0.317675320363232,
      0.318021427240147,
      0.31076680450836,
      0.294108230600759,
      0.281806259356943,
      0.296905580482624,
      0.338657518760708,
      0.37039381255831,
      0.407452241787737,
      0.416486237385591,
      0.359933295876629,
      0.300427702417146,
      0.2960793796022,
      0.346494240460308,
      0.391411729535186,
      0.367759338644843,
      0.297632890472529,
      0.270736645757203,
      0.276475587771473,
      0.301163859403963,
      0.324445575435137,
      0.308546231071261,
      0.268672949829893,
      0.24723218439727,
      0.285985165978895,
      0.331288714819798,
      0.298324237327876,
      0.229374855044135,
      0.219749859252991,
      0.258756576679747,
      0.292436230398785,
      0.301722104555451,
      0.305362754262591,
      0.291487942735423,
      0.261457743967414,
      0.235568281726037,
      0.244584495358285,
      0.280933705065612,
      0.295430650730049,
      0.273106838172722,
      0.251875301517558,
      0.241605757842673,
      0.216322687175037,
      0.173170991886169,
      0.151069245436297,
      0.157899088947613,
      0.177352082311112,
      0.181912225036993,
      0.169616284719994,
      0.165041529599278,
      0.171611336714414,
      0.191295320954422,
      0.225075946077985,
      0.278208671346855,
      0.310453642564139,
      0.299426885708862,
      0.271604365325406,
      0.231001767078377,
      0.208849194405817,
      0.229972055380899,
      0.252117975705761,
      0.246780331464834,
      0.238440007212025,
      0.263652719024998,
      0.317850859634471,
      0.372949479234475,
      0.368767118482957,
      0.295070634271665,
      0.2204636124127,
      0.196454067187477,
      0.215432960628765,
      0.248486184341199,
      0.261951285624881,
      0.266318176669646,
      0.275946493065645,
      0.294719372858864,
      0.312680504743906,
      0.3205441333474,
      0.305729546179583,
      0.291910355253118,
      0.30548835739696,
      0.347406883806327,
      0.388365196639947,
      0.387409531457492,
      0.364833539973821,
      0.345643879160668,
      0.329944211756408,
      0.332186552778116,
      0.318260642809007,
      0.271648512178109,
      0.230718778737864,
      0.243456532080162,
      0.299839860189421,
      0.314067350063892,
      0.247089137392717,
      0.205020890812725,
      0.224962018321535,
      0.272379220656325,
      0.302240334310768,
      0.317141640985233,
      0.315998821062881,
      0.283712271515041,
      0.24554971753597,
      0.235520536993301,
      0.268659418277535,
      0.300157397593487,
      0.287506746384767,
      0.255371011922674,
      0.242032439368408,
      0.245108787844575,
      0.258759990037997,
      0.285082720550302,
      0.325312713180262,
      0.356251443778455,
      0.355067082309626,
      0.334912664431468,
      0.308803707272845,
      0.275924784825657,
      0.25571524046085,
      0.260730809232563,
      0.286564315476423,
      0.317420779093455,
      0.328354127000204,
      0.313619635737767,
      0.272106519536759,
      0.221405048777305,
      0.184263904794483,
      0.176411196846857,
      0.192423664563804,
      0.211493837885877,
      0.215903405792734,
      0.218687994304525,
      0.228836150328788,
      0.239415113396214,
      0.237504980798978,
      0.236546499383407,
      0.231246953124903,
      0.229180044478204,
      0.228402506914317,
      0.228904968739656,
      0.226165824490183,
      0.217032626532788,
      0.201005976195056,
      0.186192510624841,
      0.180042225683787,
      0.170283165977614,
      0.159475602380118,
      0.155035053988139,
      0.144295898595126,
      0.117170975735511,
      0.104998190972213,
      0.118123601997701,
      0.147938780802535,
      0.160889846808573,
      0.154278453193527,
      0.146503569284797,
      0.135224998334369,
      0.120610650095195,
      0.0820590208942126,
      0.178129076029934,
      0.306023184573125,
      0.393552340092318,
      0.404603248718237,
      0.390743101259941,
      0.370448200217171,
      0.357349903183007,
      0.362606939523675,
      0.410041485954172,
      0.450047854324337,
      0.42357202714092,
      0.355078896861164,
      0.317939599288095,
      0.324206542088001,
      0.350927437852517,
      0.33192965736575,
      0.259897899799365,
      0.206969739278921,
      0.192357368941856,
      0.190785760919954,
      0.186380182243382,
      0.178947852771973,
      0.179824127725537,
      0.185168519615621,
      0.197766718200284,
      0.225850912237979,
      0.274409684647744,
      0.330061350797902,
      0.339710132860324,
      0.316007560993886,
      0.288663604380294,
      0.27299208627173,
      0.272748949215678,
      0.282125253861781,
      0.2995175591791,
      0.311030437025507,
      0.301022985585278,
      0.283978127498161,
      0.290164984634815,
      0.307793712467734,
      0.313883523854224,
      0.304939967187066,
      0.298097237742948,
      0.296802039782837,
      0.299091667664201,
      0.303985588562744,
      0.318900553778499,
      0.357780214178322,
      0.405886313531365,
      0.455349983800624,
      0.44602135579458,
      0.380893496657818,
      0.330796019681781,
      0.316966168139045,
      0.325794312951234,
      0.336837968627385,
      0.324853901390725,
      0.283517073899788,
      0.265135520046379,
      0.27231930207433,
      0.311509785192339,
      0.35653609920591,
      0.353416182732938,
      0.323462499350309,
      0.307637608575585,
      0.331854226955669,
      0.352464862031579,
      0.31114565553908,
      0.234464452627256,
      0.223678604133963,
      0.268091165039649,
      0.300740933831784,
      0.294560922222893,
      0.28296123378496,
      0.26599367389658,
      0.245586278598482,
      0.227909358308147,
      0.23971625498671,
      0.28641994895117,
      0.315615589677621,
      0.298910860834225,
      0.275625678885199,
      0.258713913470224,
      0.220474992345066,
      0.169648599495999,
      0.146779121880293,
      0.15232814885211,
      0.169633389281097,
      0.17816330712083,
      0.172728401087149,
      0.1706548948767,
      0.177902898824585,
      0.201093844036269,
      0.238255207011369,
      0.289885767530926,
      0.312591080755824,
      0.291237863426411,
      0.264291209868316,
      0.236305915591078,
      0.226423652301576,
      0.269762793336206,
      0.322332730472233,
      0.315059504337484,
      0.271946674952293,
      0.270152840441427,
      0.323621717029738,
      0.392897681420514,
      0.3935368915134,
      0.302941970832912,
      0.20764580790602,
      0.18610230938556,
      0.226351241466171,
      0.283912398061189,
      0.306887576856095,
      0.306270172772952,
      0.297019080109902,
      0.302671410094602,
      0.33421904793033,
      0.369336784971149,
      0.363107655436682,
      0.330193065944339,
      0.308606046618764,
      0.3200295464778,
      0.3544969781623,
      0.357456607049533,
      0.33333871551358,
      0.318348812800185,
      0.321843681957428,
      0.350728902131737,
      0.351987244314507,
      0.313361298454028,
      0.279837617294332,
      0.288492027188507,
      0.321704080435349,
      0.320522962576032,
      0.25025228661463,
      0.210442641535261,
      0.239551776678946,
      0.291722527481975,
      0.305900059594771,
      0.296569331062809,
      0.284401261093557,
      0.25904799964817,
      0.234686535419027,
      0.229853742091788,
      0.270142876036261,
      0.31529231593446,
      0.311374871366233,
      0.278207775846119,
      0.259744605551877,
      0.252016287441026,
      0.253163845913531,
      0.27660163491481,
      0.325081125338591,
      0.359654485269303,
      0.351580958120899,
      0.329941170795004,
      0.320097063644335,
      0.30793427152373,
      0.293472386603554,
      0.289568155616169,
      0.304021066253134,
      0.329076992031899,
      0.334010805982376,
      0.313136821606422,
      0.275531301298963,
      0.230937502727097,
      0.193483008656401,
      0.182324444611562,
      0.201926753004997,
      0.240664110472058,
      0.251320611375083,
      0.233253370539943,
      0.213733798563911,
      0.214356136922119,
      0.216116230179592,
      0.216511656083911,
      0.214340006136302,
      0.221954710947264,
      0.226162221729682,
      0.219353850712205,
      0.205095133436139,
      0.193349782870941,
      0.18342412395674,
      0.171078994224874,
      0.168207461271198,
      0.165037080476569,
      0.159105092605869,
      0.15465719827244,
      0.14560451639367,
      0.122825750427385,
      0.112903711528062,
      0.124763846276074,
      0.150104276432709,
      0.158293535088582,
      0.151914184552842,
      0.145685580634754,
      0.134312471812349,
      0.119132150181096,
      0.0954916955158068,
      0.198475987065956,
      0.316652610302583,
      0.376254626505126,
      0.379489714296129,
      0.384395905975537,
      0.382268755816156,
      0.368567288303341,
      0.36368717844191,
      0.409417020497815,
      0.453026207681236,
      0.409223227447198,
      0.331288808637148,
      0.306679763957826,
      0.32382114560426,
      0.350221482756207,
      0.330337313383064,
      0.267368363727022,
      0.217391787429927,
      0.199147351902207,
      0.192939515001667,
      0.188982801038881,
      0.185336912373754,
      0.191146737220993,
      0.197510497144276,
      0.202271760588265,
      0.221215848674487,
      0.27075271948308,
      0.333513239036049,
      0.338920180457377,
      0.307238264431333,
      0.284453000234313,
      0.284391352421162,
      0.279951738805969,
      0.259165952894608,
      0.253726725627819,
      0.274863676647975,
      0.28972860994084,
      0.284387062924217,
      0.29492506363232,
      0.317797610895602,
      0.319628189056289,
      0.294797626426787,
      0.265601178194722,
      0.2493632832098,
      0.257830204889969,
      0.28529499304447,
      0.312005572807408,
      0.330862543806013,
      0.357049285159023,
      0.4014508217478,
      0.409791822665024,
      0.38157642588026,
      0.355540390909137,
      0.33373266041022,
      0.310695176518676,
      0.30324788842916,
      0.297244327258619,
      0.257611529096987,
      0.231627481593321,
      0.237118239492739,
      0.275761305075282,
      0.319378771759852,
      0.334008345708327,
      0.339841281219873,
      0.344229412008953,
      0.344710010377965,
      0.331815663892092,
      0.2985935431033,
      0.241125524200553,
      0.235232464034947,
      0.271690136932545,
      0.291199863532616,
      0.27802707074413,
      0.26920280586437,
      0.262498673278885,
      0.257122876214692,
      0.248967415573338,
      0.249767607002676,
      0.272596652872241,
      0.291288627891907,
      0.282074979576437,
      0.270891485846518,
      0.262878349627289,
      0.234078874368481,
      0.186560348860419,
      0.160638406104273,
      0.163749965004357,
      0.182360756402611,
      0.193318499860357,
      0.192227976444681,
      0.194830701789827,
      0.196903192419826,
      0.20823079582483,
      0.240053284267779,
      0.298629751671932,
      0.326001057817206,
      0.299243370484619,
      0.269186603127667,
      0.252177891844267,
      0.242743778285391,
      0.255390625451081,
      0.282054416979101,
      0.280114958015062,
      0.2479561391441,
      0.236030973557993,
      0.272838600012971,
      0.336689263184359,
      0.348581222795525,
      0.278120410877982,
      0.200594531105057,
      0.185429495928299,
      0.212855885710165,
      0.246991934923856,
      0.27847962039175,
      0.330019502338882,
      0.354923592231878,
      0.336343598566371,
      0.321964932678064,
      0.328956864576955,
      0.322225693261662,
      0.312895749668148,
      0.308343984236663,
      0.307078977140423,
      0.308535803394597,
      0.295549630579529,
      0.275857416337936,
      0.27381475263952,
      0.296448001069139,
      0.34272760594297,
      0.355320289365064,
      0.331816967656349,
      0.314909471013108,
      0.318983258479018,
      0.324701280959202,
      0.315335398186697,
      0.259299760487296,
      0.223631181576837,
      0.247537163178411,
      0.28933482055346,
      0.293757408756747,
      0.280707214829772,
      0.271374005608127,
      0.258829765024855,
      0.251976923385477,
      0.250043152975203,
      0.269189886079254,
      0.295416056708462,
      0.294429045757701,
      0.274485495620175,
      0.263039446696244,
      0.253212346877567,
      0.250875162657544,
      0.276911007789053,
      0.328917612803267,
      0.35692190459748,
      0.339587837905749,
      0.316139131772247,
      0.316797281964951,
      0.316552898289377,
      0.301893932832692,
      0.292729233122991,
      0.308610877510583,
      0.338069649313942,
      0.338225455873701,
      0.308804292796397,
      0.275406278316782,
      0.245899133308268,
      0.220301149691926,
      0.213211638405374,
      0.228917304680251,
      0.250639368300504,
      0.244391524589633,
      0.223558752449046,
      0.207417229194045,
      0.20325616212391,
      0.199380874333725,
      0.212500115350805,
      0.230522057608586,
      0.233719954123044,
      0.214859283427103,
      0.196993733725629,
      0.193482789064855,
      0.201992123393378,
      0.194701733767867,
      0.174225099598315,
      0.167398366855671,
      0.167907296971278,
      0.16408403033369,
      0.1588438168929,
      0.151586021297765,
      0.132854951727577,
      0.129777114797951,
      0.146756110944591,
      0.169460234351526,
      0.166748096282752,
      0.155781528822296,
      0.147594051384652,
      0.134525385443453,
      0.120251108928804,
      0.125689795531989,
      0.242834059097949,
      0.346077686203503,
      0.36382441740141,
      0.35400333298551,
      0.379698149397338,
      0.406422519808535,
      0.408436978497128,
      0.396125963832784,
      0.422443139274815,
      0.457548458072795,
      0.411326062700727,
      0.33290186109742,
      0.320395848174193,
      0.348883610544105,
      0.375349144281356,
      0.346444083964255,
      0.276249389057776,
      0.220668222349059,
      0.199399249258353,
      0.19404199609361,
      0.193773171413897,
      0.191565648966155,
      0.200369804202848,
      0.210739040905903,
      0.215838018904344,
      0.234056526180297,
      0.282400421293241,
      0.335139110917334,
      0.330735911017387,
      0.300863711449772,
      0.281679761898976,
      0.281931312211529,
      0.276416546404783,
      0.26238907446619,
      0.273581436202051,
      0.309388230464458,
      0.323399058292504,
      0.309532034096284,
      0.315957934590277,
      0.33896490503991,
      0.342423903053688,
      0.318260840187888,
      0.296039582152496,
      0.278464930121364,
      0.271367701583978,
      0.279496775191237,
      0.302733274676492,
      0.324463251319979,
      0.343347259546238,
      0.385565891450521,
      0.415730860881324,
      0.40413214282374,
      0.378817265572965,
      0.354171276366873,
      0.332228442867039,
      0.332479816870093,
      0.332155382986128,
      0.279552381337388,
      0.240710980551492,
      0.242876840240931,
      0.269832978483372,
      0.289082894770184,
      0.290615434996005,
      0.295741653087467,
      0.305315621419668,
      0.315661676912718,
      0.315576320289485,
      0.306607592299558,
      0.279476266391918,
      0.28186104603628,
      0.314207676704944,
      0.331833774729102,
      0.320308920582639,
      0.312844545295849,
      0.316805942652675,
      0.32926382895054,
      0.333247326985359,
      0.323087148774957,
      0.317792532333721,
      0.317620228482291,
      0.310564269644276,
      0.308021480139742,
      0.305197987134034,
      0.281933306833225,
      0.23516490722698,
      0.20454780962835,
      0.204464105626032,
      0.226564515271778,
      0.238594770841049,
      0.232794890864058,
      0.234127457594181,
      0.232648179005497,
      0.236564276199023,
      0.265498123150459,
      0.326515771618308,
      0.354130433702318,
      0.332470764735128,
      0.312338250312136,
      0.30902724636252,
      0.294925968874691,
      0.273817939806685,
      0.267204611982851,
      0.271099199334324,
      0.266322649966218,
      0.26089649008853,
      0.272529538222039,
      0.304726554108131,
      0.329438120286406,
      0.311128821847865,
      0.278117365809709,
      0.271825285222186,
      0.27464564823032,
      0.271458903784033,
      0.294057297906803,
      0.365345004295529,
      0.402727062261215,
      0.384073298530083,
      0.358007938639478,
      0.351044261016849,
      0.330648554980973,
      0.317750292589038,
      0.311174534219816,
      0.304741361606463,
      0.309198813051078,
      0.319422152814764,
      0.312918701805677,
      0.303612650355447,
      0.313152327170227,
      0.337602616556139,
      0.336393408065982,
      0.318290260107926,
      0.315517598561092,
      0.329844088810821,
      0.34497014878952,
      0.34781456133326,
      0.310688417949966,
      0.277926503123103,
      0.293786163361156,
      0.330784664306404,
      0.337104840812914,
      0.326558947798055,
      0.322690880450919,
      0.324260614200825,
      0.332680215962636,
      0.334475740010372,
      0.330599917747517,
      0.3275170803102,
      0.317471657998043,
      0.304927040215875,
      0.301161581100603,
      0.295077481728776,
      0.290143104250289,
      0.307837172484775,
      0.344856904743391,
      0.356167714693069,
      0.33523647629117,
      0.316808853853862,
      0.322863426346123,
      0.323651176262784,
      0.306759393995539,
      0.298613036515764,
      0.316706060522987,
      0.339105790134958,
      0.33242767942178,
      0.305520481983718,
      0.278520212891565,
      0.254696223976923,
      0.237618955627495,
      0.248523723759012,
      0.291488548018695,
      0.317555731371234,
      0.300903347389635,
      0.282121815535365,
      0.27743532516129,
      0.270003476999087,
      0.254186257475794,
      0.274381130407756,
      0.318537951882556,
      0.34307836706064,
      0.315094086560079,
      0.279508877910531,
      0.269316023300938,
      0.279863637960964,
      0.258039573528156,
      0.214602258419509,
      0.194087006468009,
      0.189556368154143,
      0.179996141388911,
      0.170623946076531,
      0.164378854495083,
      0.147413058548746,
      0.15077292725345,
      0.172729814668069,
      0.193931309141403,
      0.183218889894328,
      0.168242797932779,
      0.156352168707048,
      0.140733330571805,
      0.124593814222221,
      0.155839131462888,
      0.286238338118475,
      0.376036214691747,
      0.362019736197178,
      0.342278988844202,
      0.374464576322105,
      0.421617140650054,
      0.452809597845855,
      0.445692406552998,
      0.444151547706542,
      0.459803996791174,
      0.421876647828645,
      0.348941976471933,
      0.348368405267842,
      0.390051499404843,
      0.426006343807707,
      0.394852316104778,
      0.298069772942665,
      0.215635507443522,
      0.186865335780859,
      0.188048306891215,
      0.194325079450159,
      0.193235868509122,
      0.203058381848159,
      0.218039758441232,
      0.228628628026236,
      0.249695710382771,
      0.289646513753718,
      0.319991767224984,
      0.307484578142612,
      0.291049396701853,
      0.282919642745207,
      0.280894236978486,
      0.278356508294039,
      0.290478274126431,
      0.332496584371001,
      0.38294723092782,
      0.395604945217495,
      0.376253639920961,
      0.368879867910974,
      0.376189697180473,
      0.383483997998278,
      0.385554278201595,
      0.406784226015527,
      0.4059697057809,
      0.373836705375908,
      0.342249988242643,
      0.35903215930313,
      0.399669742343607,
      0.421782632517516,
      0.453468223525593,
      0.466416266142288,
      0.436102723355409,
      0.412706356236029,
      0.408929671252868,
      0.410282286270515,
      0.42981408043317,
      0.451654918379411,
      0.388940538982151,
      0.320421152040003,
      0.29907254399685,
      0.308538765918301,
      0.308643214759492,
      0.289442584582904,
      0.271138785787076,
      0.263731736825344,
      0.291439675992635,
      0.338597140151059,
      0.374187386366075,
      0.375691727204785,
      0.386956567345413,
      0.422371439815624,
      0.444343137145976,
      0.433136634619832,
      0.420696838660404,
      0.426003166516275,
      0.451461189981584,
      0.471723805443639,
      0.459436191627511,
      0.434708569217758,
      0.419412555626854,
      0.401076695979693,
      0.383164227083754,
      0.373167409636942,
      0.358844731622694,
      0.312813624269284,
      0.273013666297214,
      0.268632345064019,
      0.298435445685325,
      0.32162903971077,
      0.318660906347485,
      0.315015946539103,
      0.300240531669476,
      0.291103589109398,
      0.313963053973746,
      0.370564071886693,
      0.390381778939549,
      0.381121461857976,
      0.388034420880927,
      0.40762014404821,
      0.381168301080304,
      0.335018178620518,
      0.318691314285798,
      0.340728730718151,
      0.373208994583013,
      0.401343748821154,
      0.419355807228407,
      0.421095211115134,
      0.419966750387207,
      0.410322248635105,
      0.403657970424055,
      0.414582106251958,
      0.427846756668654,
      0.430505115828098,
      0.430990676860862,
      0.446183745088237,
      0.437411336892927,
      0.434742490712099,
      0.446355454329855,
      0.476515550885748,
      0.466952685317969,
      0.427712006193392,
      0.38501012232173,
      0.367334268520924,
      0.388527801805079,
      0.41697266725693,
      0.419219055430215,
      0.402245075143778,
      0.388694865198954,
      0.385331000821826,
      0.369805048786929,
      0.343896247730878,
      0.33133558551477,
      0.346532705464222,
      0.388237212320444,
      0.43193925736364,
      0.42324826406364,
      0.392069905170052,
      0.403187611452466,
      0.443974809742383,
      0.452012037575649,
      0.4342237749243,
      0.427891648205248,
      0.438012205805273,
      0.45965172898765,
      0.474438148021058,
      0.465665392901473,
      0.438872729143003,
      0.408276167577058,
      0.381200671191406,
      0.361096120879177,
      0.341274400693654,
      0.327511952535726,
      0.339161966508471,
      0.363122652810053,
      0.359772808284067,
      0.339206981424412,
      0.331239092208442,
      0.34572433187889,
      0.349113604859722,
      0.328978407910075,
      0.314885411718439,
      0.319996538631279,
      0.32084024744146,
      0.309782462008714,
      0.2974406518808,
      0.286291939066947,
      0.273553350517328,
      0.270684434855793,
      0.311014624633401,
      0.396416192979291,
      0.448542187436126,
      0.435385539014494,
      0.415621146661521,
      0.420184429371421,
      0.427288089066148,
      0.412799867249281,
      0.432927644240216,
      0.488868045999972,
      0.510734148767314,
      0.455338613830048,
      0.4011134807063,
      0.382887219769447,
      0.377730334123452,
      0.330818800583601,
      0.267720094484583,
      0.228263476426112,
      0.205684782851313,
      0.19013160387587,
      0.180679660684615,
      0.173318305787253,
      0.151541303132602,
      0.144600452120478,
      0.157842788260066,
      0.188459412680069,
      0.201301690513571,
      0.193355672284737,
      0.173190067793492,
      0.148807999564981,
      0.126957909748887,
      0.155681931842491,
      0.284393506754671,
      0.369700912877589,
      0.356101673423028,
      0.339817908717916,
      0.372144146653271,
      0.424919678652446,
      0.472250132321707,
      0.473755455283841,
      0.465277406730765,
      0.472333375140807,
      0.432252519591304,
      0.354216038334958,
      0.346172129880351,
      0.382900484879935,
      0.420694858235135,
      0.401842025217485,
      0.305803366503279,
      0.215026079620742,
      0.182975341219395,
      0.186153665716922,
      0.191044797186915,
      0.187062377796453,
      0.199672379710574,
      0.219835064312223,
      0.231625751603358,
      0.25014167796105,
      0.28475415226203,
      0.309980546263545,
      0.300076560241977,
      0.294483962611735,
      0.293520293893196,
      0.288998218079843,
      0.284044128563864,
      0.3026438063521,
      0.346020838765023,
      0.380098779396276,
      0.37713386136592,
      0.359418449175293,
      0.355183395251073,
      0.363913223835347,
      0.388104878165286,
      0.405643881518387,
      0.430061026787025,
      0.438701392365038,
      0.417986652938694,
      0.38510763718768,
      0.385218235951472,
      0.404131368405591,
      0.404813268381117,
      0.425822827277248,
      0.435224719537619,
      0.394357288316454,
      0.364891895196326,
      0.377748545480245,
      0.404986602136532,
      0.428851917236979,
      0.450801515949411,
      0.404038825872518,
      0.338254285779288,
      0.304980063024692,
      0.30341048415603,
      0.29887917330703,
      0.27365767883672,
      0.247871095824431,
      0.233281573946191,
      0.26639932196672,
      0.336252255152574,
      0.382065782368994,
      0.383555823494247,
      0.395417506342953,
      0.430390093361479,
      0.454508352797126,
      0.446858883149609,
      0.438432673302987,
      0.438393714562403,
      0.451325000832714,
      0.468286320805857,
      0.46884487314685,
      0.440385980060403,
      0.41090534222285,
      0.391914778569478,
      0.377490396669889,
      0.373737416097551,
      0.382122101392379,
      0.353167392315941,
      0.318808320263817,
      0.323634514362653,
      0.362807326201578,
      0.38246124556802,
      0.374014631515383,
      0.375374581264099,
      0.362062591491988,
      0.346118402747011,
      0.355055083178468,
      0.400192014179262,
      0.412390190743098,
      0.412701391178891,
      0.431405944852946,
      0.44150570289895,
      0.397188962620812,
      0.352668434574318,
      0.33805562044164,
      0.348126744581219,
      0.370768337069757,
      0.40404215757452,
      0.433341563074383,
      0.438344250620665,
      0.414435680572038,
      0.371622987230876,
      0.35547730752577,
      0.379508867853673,
      0.420830898980138,
      0.452966082659457,
      0.452311702452813,
      0.432436109925899,
      0.401953101021098,
      0.413418807868631,
      0.438519818831933,
      0.451069875872403,
      0.42674415617763,
      0.388608160683152,
      0.35725881663272,
      0.353644820186098,
      0.385571529542904,
      0.42310638841721,
      0.441083977989446,
      0.438118080202809,
      0.421745125660794,
      0.404314457059087,
      0.380789758291918,
      0.35543878013551,
      0.341709313730417,
      0.353120128888888,
      0.39053514898822,
      0.420097285800726,
      0.4025052823635,
      0.386364516161441,
      0.404214739372215,
      0.438943410091138,
      0.452027564697535,
      0.449568348452019,
      0.442736794859705,
      0.438691695862094,
      0.45368463076394,
      0.470999312418976,
      0.461460033653573,
      0.430629381001844,
      0.405178485297694,
      0.3810638244534,
      0.359824073017367,
      0.338977345375969,
      0.323945999022471,
      0.332262117034874,
      0.359828585819296,
      0.356947399903185,
      0.332565158893998,
      0.32670636533222,
      0.348796361128935,
      0.35766245318849,
      0.337314562469561,
      0.318872240788885,
      0.315806355367081,
      0.309105552379868,
      0.300606365147908,
      0.299480355184512,
      0.298513971072203,
      0.296295464058893,
      0.312945102643557,
      0.366774384918313,
      0.418967590226908,
      0.407933175154191,
      0.370731015474562,
      0.375401852956234,
      0.409338468936125,
      0.428409395073454,
      0.423340191835241,
      0.449854055841423,
      0.477959613903676,
      0.455387619676354,
      0.403008906001872,
      0.385381481487484,
      0.387886557444936,
      0.367913965560842,
      0.30859368108704,
      0.253493196985498,
      0.216820006334512,
      0.196110928171024,
      0.189206969697139,
      0.181955890540094,
      0.174425904372105,
      0.149103286344231,
      0.130520521863694,
      0.134117047846396,
      0.175508621300288,
      0.21312196764716,
      0.212030426531141,
      0.184723562052414,
      0.152325031321862,
      0.125694583219494,
      0.129888082578465,
      0.244150649757244,
      0.332148610540835,
      0.339903838418554,
      0.327608016123805,
      0.347050620393668,
      0.385836423194773,
      0.425011442287406,
      0.433007495614789,
      0.444298859036163,
      0.464669011251945,
      0.423937640488723,
      0.347103709148759,
      0.331931162128508,
      0.367011853893062,
      0.413528854232116,
      0.418373869686874,
      0.337798327793156,
      0.244233464500833,
      0.201507851028087,
      0.196452011723749,
      0.195679783117645,
      0.186569988382045,
      0.19685782337126,
      0.21505490655299,
      0.222529403732929,
      0.235961853559776,
      0.270113593497259,
      0.301655325326299,
      0.296953105906717,
      0.297563949021117,
      0.302449892462618,
      0.292849918065058,
      0.270089821465316,
      0.269297669829985,
      0.295889297904559,
      0.315423462771275,
      0.308156989144671,
      0.292121180839577,
      0.284798601927519,
      0.296737585095636,
      0.343366092516208,
      0.362004353066335,
      0.333740188133531,
      0.306182203222125,
      0.299897971137291,
      0.301305912183752,
      0.318636295435132,
      0.348121398883555,
      0.352509207169193,
      0.356676251998853,
      0.348613358568976,
      0.309915566252095,
      0.28882740023364,
      0.303795585641311,
      0.324224109263739,
      0.331215598856527,
      0.344358093439806,
      0.339923285060624,
      0.322177088178579,
      0.30726765591179,
      0.299332580620449,
      0.290271314752179,
      0.265718201402264,
      0.242111236230122,
      0.228148658288513,
      0.250429615697452,
      0.290089529520474,
      0.297976320253479,
      0.273435055718372,
      0.265623433410644,
      0.287618727481825,
      0.323595472455574,
      0.338789503417788,
      0.335880365827876,
      0.325287242104296,
      0.325536152723837,
      0.330568325131078,
      0.324773098476838,
      0.302734300767132,
      0.300292421522824,
      0.313979268225622,
      0.314542358528989,
      0.313333353401246,
      0.32043949003139,
      0.28614434902534,
      0.243369777173187,
      0.242459012216052,
      0.275048261496073,
      0.293159786267573,
      0.28432816769953,
      0.281828083164347,
      0.279770280602086,
      0.290355478642872,
      0.318316626169049,
      0.356911845188809,
      0.355172613792381,
      0.347273500038711,
      0.350613474287271,
      0.334128226408956,
      0.300091720677826,
      0.28837653168787,
      0.2921155648537,
      0.280409571941708,
      0.252343668493434,
      0.247720633810132,
      0.278499051657603,
      0.321182750936937,
      0.33915604012671,
      0.318324396829205,
      0.270284979781379,
      0.245396200834305,
      0.264124690511832,
      0.303479118736783,
      0.314554874728883,
      0.311080911631058,
      0.314196882334432,
      0.330318072122574,
      0.331948723980851,
      0.328303978915708,
      0.314928000743246,
      0.29021133774618,
      0.266139141615139,
      0.266337217314081,
      0.29930886299872,
      0.341222371538326,
      0.373503972187232,
      0.383898817918094,
      0.370025200171485,
      0.349421045588241,
      0.319627798717752,
      0.287593518272866,
      0.27303396435508,
      0.288741641377655,
      0.318163814324181,
      0.323309655450742,
      0.289028719166007,
      0.262828763964838,
      0.267132391883939,
      0.301342928512941,
      0.334131634388067,
      0.345512411188721,
      0.33993249888075,
      0.328916749637631,
      0.327915935332705,
      0.331562938625465,
      0.324397446114016,
      0.310525390092168,
      0.313988500485979,
      0.312803184408155,
      0.299124827453167,
      0.288545710338042,
      0.298424256178626,
      0.322147358844834,
      0.343995668836613,
      0.337986160475861,
      0.319859923483051,
      0.318292108348972,
      0.338781762485627,
      0.341666795394723,
      0.316513991842738,
      0.29919935194653,
      0.302624327237266,
      0.303114846232643,
      0.296079875366681,
      0.300516164716487,
      0.303712024942597,
      0.293648000290591,
      0.283654309035542,
      0.292497072302186,
      0.293737232172523,
      0.259639151662145,
      0.224307567559788,
      0.228722246500784,
      0.261535893453357,
      0.296940378144582,
      0.309773592863548,
      0.320484670976051,
      0.320591265985533,
      0.29599769288456,
      0.263543634989582,
      0.264617665870477,
      0.28156652169779,
      0.27067630145437,
      0.223063518518669,
      0.192052521233269,
      0.186454304194524,
      0.187673403453939,
      0.187681675468763,
      0.180322410621761,
      0.169581588232619,
      0.140989326153662,
      0.123542580551167,
      0.130422055416309,
      0.176413237810435,
      0.216553166952773,
      0.216509905780564,
      0.190439996837134,
      0.156508585221262,
      0.125631188537065,
      0.102914097049525,
      0.206268177812474,
      0.29902764433601,
      0.320283492068245,
      0.306020818246065,
      0.317429023992699,
      0.343193686426919,
      0.360213393641731,
      0.359993566508482,
      0.389375273942793,
      0.433801093726759,
      0.401257626455122,
      0.329804784884102,
      0.315003453414453,
      0.356119522209544,
      0.414109176042907,
      0.438018695969985,
      0.375313029624377,
      0.278709308958204,
      0.217861133868393,
      0.198309669904129,
      0.196856034887243,
      0.190416668103514,
      0.193938514949014,
      0.200680667184111,
      0.201345225850853,
      0.212802183549224,
      0.249312920813166,
      0.288611978751731,
      0.290026923632624,
      0.290770468081705,
      0.28653038961869,
      0.258734826394833,
      0.221471864391579,
      0.217893881539221,
      0.257862369758059,
      0.299290353447021,
      0.306838388047163,
      0.292817130384483,
      0.281488677733068,
      0.280514758507364,
      0.298534514218551,
      0.294718987861845,
      0.262786481087991,
      0.24546200338313,
      0.257953460366128,
      0.288777230720442,
      0.341936757512767,
      0.387849813595164,
      0.374157973201167,
      0.351470509142026,
      0.335086403962397,
      0.307732979080354,
      0.288318498270391,
      0.281987807275639,
      0.272872067103692,
      0.27062738702419,
      0.291060385357488,
      0.290629507043305,
      0.284167598476,
      0.292775511123204,
      0.316192501351279,
      0.328759209152066,
      0.304634289096657,
      0.273957212240922,
      0.256610611064627,
      0.265739663814145,
      0.274754736145335,
      0.263292495138851,
      0.219417479343528,
      0.185488297115791,
      0.190096572869958,
      0.229216124621797,
      0.257697795577793,
      0.262595609305886,
      0.256882831286828,
      0.262441607188575,
      0.269998640814652,
      0.25765671187152,
      0.233558882391579,
      0.245142750708369,
      0.278167138454805,
      0.291446710318428,
      0.29607205932776,
      0.297859232438495,
      0.248883665777587,
      0.182796787435793,
      0.157143160186336,
      0.170921816408611,
      0.188519942616293,
      0.185284487086919,
      0.18650713221042,
      0.196007930564857,
      0.213359026756249,
      0.238187251378672,
      0.273017058714185,
      0.285254097840144,
      0.281492649600043,
      0.275327585876378,
      0.245908083562514,
      0.230597255469141,
      0.25376673779806,
      0.282145909325755,
      0.275994675131383,
      0.251836972290336,
      0.254735484973683,
      0.287571312796377,
      0.327746365329681,
      0.367451110275673,
      0.374446465067,
      0.299009572191249,
      0.220078186730789,
      0.193156402279024,
      0.215600147667545,
      0.235216036452644,
      0.258560596797047,
      0.291449242398461,
      0.314289999699379,
      0.299526049357469,
      0.279715621171682,
      0.270858209350447,
      0.267800557684259,
      0.269722057191845,
      0.278497875105172,
      0.289721644786205,
      0.298182945567512,
      0.309657235748415,
      0.314775658314239,
      0.309281389767425,
      0.312035453361334,
      0.299196236481203,
      0.263643825066422,
      0.241156872821268,
      0.255807587833517,
      0.277990369424564,
      0.275220133636382,
      0.237762635866859,
      0.19491725903887,
      0.181286017900774,
      0.211743398701551,
      0.254839535232119,
      0.272762021074516,
      0.268396089283034,
      0.26219591292953,
      0.270582637541149,
      0.273148020982351,
      0.253208192355286,
      0.239855500940017,
      0.264702854824109,
      0.283967206275608,
      0.283548950308013,
      0.286071262526673,
      0.305484604827291,
      0.320645458714032,
      0.325567310241144,
      0.31988230321264,
      0.308874537988117,
      0.306150582614714,
      0.315468961440885,
      0.308336164977083,
      0.284565121303546,
      0.276509254214097,
      0.289309510179418,
      0.294755146146424,
      0.286545070801066,
      0.289083084222326,
      0.282069805004429,
      0.255678801441671,
      0.233897763655071,
      0.239404979373523,
      0.243603934345057,
      0.210198524680372,
      0.166557382053899,
      0.159037825875118,
      0.182203029628853,
      0.21084602763851,
      0.225680771034807,
      0.245165673859661,
      0.257671762487763,
      0.235219936770665,
      0.195693270954575,
      0.185733305383941,
      0.199226489731658,
      0.198871932158412,
      0.169536318009653,
      0.153184215430364,
      0.16340391365848,
      0.177991411991809,
      0.183971928693712,
      0.181265818664525,
      0.171554366401267,
      0.141477880632726,
      0.125086537251345,
      0.13165787199705,
      0.170334309726044,
      0.199989669592732,
      0.201878793839777,
      0.18498663590588,
      0.154489540773295,
      0.120823460226882,
      0.0849894065595847,
      0.183029353871757,
      0.278528345897351,
      0.303915045900209,
      0.288920058315299,
      0.301138398534208,
      0.321544328033232,
      0.323080778257252,
      0.31356123669406,
      0.347730031227855,
      0.405339011955527,
      0.3840849140992,
      0.312343089594471,
      0.286887462704318,
      0.317674040608301,
      0.37201330102044,
      0.399886716871235,
      0.363060136914506,
      0.28473895304418,
      0.217699863926497,
      0.182782284044917,
      0.180298899221094,
      0.181677022283949,
      0.181262646084293,
      0.179379713202607,
      0.177879798729087,
      0.19091545335537,
      0.229338483791836,
      0.274513279506591,
      0.28024980746299,
      0.270326219496061,
      0.252821903088368,
      0.225058349552114,
      0.198102896284236,
      0.198049365807554,
      0.239739938539882,
      0.290223037451352,
      0.306373693820484,
      0.300979899147311,
      0.301928587710182,
      0.305617581718851,
      0.302905577021937,
      0.27915608827937,
      0.240315652880909,
      0.222055009883919,
      0.246582226085462,
      0.305040475476425,
      0.382526811533318,
      0.420371510215008,
      0.383051034003599,
      0.347588915121371,
      0.33145228393206,
      0.318664429005138,
      0.310098799029017,
      0.29657077024556,
      0.271880780272014,
      0.270233607649427,
      0.293272028929679,
      0.27011305557429,
      0.237723551823365,
      0.243852700149434,
      0.290767598571634,
      0.332972286555354,
      0.325117673518462,
      0.306457995954239,
      0.297585422756992,
      0.296757751040847,
      0.285243286676296,
      0.26318108802626,
      0.211729583827288,
      0.169415314017767,
      0.16748842357753,
      0.203738987764441,
      0.239473941745779,
      0.25918711966719,
      0.269069343597794,
      0.287058667601928,
      0.292176599963903,
      0.257296661400813,
      0.211191460727652,
      0.215951355765822,
      0.253326809739615,
      0.281495982587391,
      0.300759750095031,
      0.300682126721607,
      0.240323735039782,
      0.166783422224578,
      0.134267898323718,
      0.140943999125464,
      0.156575237584889,
      0.154351101892833,
      0.15601357064584,
      0.167294464512326,
      0.182648521840792,
      0.205083480295679,
      0.244576965969931,
      0.267240048780348,
      0.256939232946712,
      0.23859475146066,
      0.207241718943989,
      0.19771406480708,
      0.230066872634652,
      0.272781092834741,
      0.292662006107942,
      0.293387833116906,
      0.306866309823329,
      0.33098117508598,
      0.3513183392518,
      0.371297569182424,
      0.363589352013547,
      0.282405842983787,
      0.205180444230585,
      0.174001318858211,
      0.189974002238343,
      0.22075818208584,
      0.265866420944654,
      0.301929092612984,
      0.32027418095445,
      0.307438843553393,
      0.272822460860674,
      0.249520103396402,
      0.266540652622182,
      0.309442762152474,
      0.340003717914438,
      0.331271043027923,
      0.297682455468073,
      0.273817062875807,
      0.269031569043942,
      0.279207294012121,
      0.308729820126207,
      0.315135302808577,
      0.290817528020412,
      0.273614163704949,
      0.280630070538305,
      0.286145769621525,
      0.278284288596609,
      0.238665041784785,
      0.18588379085817,
      0.162155696167571,
      0.186367943289875,
      0.231783661389882,
      0.26244247689521,
      0.273446599134448,
      0.280622362120702,
      0.294692549042536,
      0.283518112570915,
      0.237468531631179,
      0.210594263405781,
      0.236060873159381,
      0.264614489912892,
      0.283178011325797,
      0.301933613783756,
      0.319982141582541,
      0.319587720384328,
      0.313665419290171,
      0.312378610506357,
      0.304337465933463,
      0.292464858695579,
      0.284255841515995,
      0.269492038194299,
      0.251742717315576,
      0.251560686835037,
      0.270563706095815,
      0.283245772618839,
      0.27544146973508,
      0.264808442882604,
      0.243176132132332,
      0.218577490955547,
      0.209594682058266,
      0.225453613954433,
      0.238933418610578,
      0.212735184338319,
      0.170148166871593,
      0.158305495675788,
      0.171577290901772,
      0.182176624134813,
      0.189394673419704,
      0.222206780040273,
      0.254213194753994,
      0.235423858381725,
      0.185764476821883,
      0.166881794919317,
      0.183592688797389,
      0.196221246093925,
      0.171396811897531,
      0.148667322042194,
      0.154583401533298,
      0.168361090223031,
      0.177650312735043,
      0.177002382627056,
      0.161069621224713,
      0.127555071483836,
      0.113190450975984,
      0.120605174084871,
      0.151737181197339,
      0.172201046053232,
      0.175005051492518,
      0.166324923545285,
      0.141828687636533,
      0.110215767389508,
      0.0762380539467461,
      0.17241486782979,
      0.271618385706204,
      0.303263206567531,
      0.285442214097658,
      0.284602278294788,
      0.294082346116685,
      0.298143570506465,
      0.301082245904812,
      0.342651748667392,
      0.405200404786867,
      0.396073414859696,
      0.320155070095441,
      0.274826471617187,
      0.286526619440956,
      0.339296646548464,
      0.375549468275667,
      0.340076709612026,
      0.259473577333892,
      0.193564794210382,
      0.160791925780575,
      0.156192383383744,
      0.156645466154339,
      0.156868776353427,
      0.157166919951154,
      0.15966785826868,
      0.177449960985234,
      0.21861081462904,
      0.265056130387512,
      0.270466193640163,
      0.250293006959315,
      0.223815754528298,
      0.201533604270469,
      0.192416042977619,
      0.211924313146259,
      0.260144014132348,
      0.300463013840372,
      0.295744179108348,
      0.283711529972562,
      0.303846934021843,
      0.326627207509538,
      0.314680494651408,
      0.272713171807269,
      0.235660413327386,
      0.220847190733417,
      0.238997460070969,
      0.279582623918575,
      0.332320253865701,
      0.360896043531696,
      0.341376830534076,
      0.325749836508602,
      0.312580700060392,
      0.300359323947464,
      0.301850974360725,
      0.307060399038905,
      0.302648182842995,
      0.310420726271388,
      0.312975739876559,
      0.261412557819486,
      0.216315729720387,
      0.222359589795645,
      0.264917460599008,
      0.294450435770206,
      0.286382487291967,
      0.284008911026107,
      0.290852015758531,
      0.297900442200766,
      0.290962334192758,
      0.267830971761733,
      0.21754028212387,
      0.176786996113461,
      0.169818212594431,
      0.192079168608658,
      0.223865142796621,
      0.258449233295256,
      0.297780816564945,
      0.335067062128118,
      0.330855462705298,
      0.270655121180063,
      0.212412190039317,
      0.209438383359704,
      0.235789435107909,
      0.259434350867394,
      0.278776418359163,
      0.279798119418389,
      0.229887812454204,
      0.170221189612565,
      0.143834074742777,
      0.151099611743728,
      0.16295306547431,
      0.158951708241749,
      0.157256916063384,
      0.165652533731434,
      0.180191684429395,
      0.206790392193181,
      0.247570544716923,
      0.269771386516593,
      0.255138295447821,
      0.238854347453966,
      0.214845040382162,
      0.189968499780891,
      0.193470786035895,
      0.215584522195913,
      0.233359819295981,
      0.242516273033183,
      0.264736369092662,
      0.292031632753788,
      0.309177694473938,
      0.317729625079938,
      0.297046908780228,
      0.229590421532004,
      0.177691387114846,
      0.161062275615618,
      0.173309668352518,
      0.205010020654085,
      0.256397161644092,
      0.287545029854662,
      0.305236415436175,
      0.313270468466875,
      0.288857806465512,
      0.260237363161684,
      0.27741081542791,
      0.314257863177159,
      0.330877977052023,
      0.321232736839486,
      0.304641347475399,
      0.282306061014469,
      0.268681429434938,
      0.278284091123896,
      0.303622594021603,
      0.306085835035416,
      0.289237586297578,
      0.286100578769071,
      0.298113952250156,
      0.309111996190549,
      0.299960922863309,
      0.249828650724744,
      0.190717988572186,
      0.163754673884415,
      0.177496646462639,
      0.212122415938748,
      0.250433118886671,
      0.288493069148861,
      0.320252011943544,
      0.331744798884315,
      0.300883234071228,
      0.241504914600748,
      0.210192320349897,
      0.222014613402051,
      0.24297811222971,
      0.265489116921356,
      0.292543692498349,
      0.312708485130141,
      0.311327158718495,
      0.30376206011452,
      0.304500412964944,
      0.294053507685606,
      0.279471555858039,
      0.267610413613778,
      0.249145752910997,
      0.23327306313071,
      0.238813240413943,
      0.261728603533979,
      0.275820523697613,
      0.266526165186112,
      0.244697450516117,
      0.212829396611878,
      0.188519217687996,
      0.187079492450764,
      0.21186902166489,
      0.2407598766616,
      0.233342178102703,
      0.199562608944639,
      0.182165957773977,
      0.186668067648894,
      0.191276898554316,
      0.192588299190682,
      0.221549191153161,
      0.257212823626033,
      0.248318794643091,
      0.202876646191625,
      0.1814721739411,
      0.197649558442319,
      0.221645067167376,
      0.204484465070977,
      0.177353887227453,
      0.17373732269652,
      0.174375363888164,
      0.170307522215525,
      0.163897533369486,
      0.145392939707376,
      0.115037911295671,
      0.108369922424758,
      0.121083115612877,
      0.147452626452914,
      0.157006138414325,
      0.152670356310035,
      0.143610911065016,
      0.125732073542237,
      0.103549475896383,
      0.0707823029275969,
      0.166904639771619,
      0.281182792290851,
      0.33541805211105,
      0.308459939459435,
      0.273301166065812,
      0.263770530127006,
      0.282546659902568,
      0.314660486500791,
      0.376458175530186,
      0.446043393628628,
      0.438751270832651,
      0.348943335398011,
      0.280451465281141,
      0.269565927253201,
      0.312203001076068,
      0.348611729761656,
      0.311994485939126,
      0.231241035996367,
      0.169959845493695,
      0.143721659305953,
      0.143398747835338,
      0.148120497786479,
      0.152152181317388,
      0.153041639993339,
      0.154115393811856,
      0.171036245965124,
      0.212009251719979,
      0.258382469008285,
      0.263369388859328,
      0.242349666875654,
      0.215084852153633,
      0.197933224335174,
      0.205372882363647,
      0.241166566786849,
      0.295853307761185,
      0.324339740454269,
      0.296106299601564,
      0.269334101488723,
      0.295538633710049,
      0.323013286366366,
      0.303207827345916,
      0.25919219112101,
      0.237076782534354,
      0.232701264584577,
      0.234733567482999,
      0.238249909737224,
      0.260001395015879,
      0.295756737138841,
      0.303945319213867,
      0.313444337077934,
      0.313255485061092,
      0.291310831111544,
      0.279600255518899,
      0.300093440449994,
      0.339725311702907,
      0.379915604769377,
      0.358445117618845,
      0.271361891078041,
      0.230961562889524,
      0.250985302903402,
      0.28250168013753,
      0.275969910474997,
      0.243037305570341,
      0.229713602470456,
      0.241641653999126,
      0.274976698541139,
      0.290824542872758,
      0.268237579784796,
      0.221113285489448,
      0.189175812194996,
      0.184193008716237,
      0.192000755387228,
      0.211263462334309,
      0.247293812931944,
      0.292311288359188,
      0.322561012156119,
      0.31914621804541,
      0.278412730998663,
      0.238753441535355,
      0.223587277814017,
      0.221280558853044,
      0.226578262616849,
      0.242952435281401,
      0.249675701864643,
      0.213245427501506,
      0.171061413372925,
      0.1564481868806,
      0.169109709779056,
      0.179436580322708,
      0.176369196740276,
      0.172577753740973,
      0.174562380679016,
      0.183723193575239,
      0.212200612803644,
      0.254998275994938,
      0.276974420390218,
      0.261932396830628,
      0.247950050270292,
      0.225388249138287,
      0.197071857327944,
      0.189900742308546,
      0.201256807475117,
      0.218105366164202,
      0.235081855410303,
      0.264156243540311,
      0.296287571098695,
      0.312991113625238,
      0.303401420499643,
      0.266699868148862,
      0.211918359681193,
      0.181897254310584,
      0.180735622286818,
      0.195164165022008,
      0.216912473326805,
      0.249786990365987,
      0.264614282080895,
      0.278726946475279,
      0.302534390099607,
      0.297712038784689,
      0.266356104906023,
      0.253413368227471,
      0.26246716049947,
      0.285640815197542,
      0.313453598305609,
      0.319586271786665,
      0.30126540383743,
      0.293804942351053,
      0.308138754561918,
      0.319395872760773,
      0.296407680459766,
      0.257866763494396,
      0.251036239624872,
      0.278360495683941,
      0.314713819564226,
      0.308608461371531,
      0.255551634349212,
      0.200541420402729,
      0.1804689733158,
      0.187734938283889,
      0.201971023326303,
      0.227188039031677,
      0.270143175335043,
      0.311133387167891,
      0.326809161662663,
      0.30807814316014,
      0.265780953479822,
      0.235139003308102,
      0.220974563352051,
      0.21975341707044,
      0.232999276444312,
      0.262939906821145,
      0.290598438811512,
      0.30275537092492,
      0.303100588851653,
      0.303842370635853,
      0.290289425692247,
      0.279855231685113,
      0.270457635702779,
      0.244675063744811,
      0.220130319122402,
      0.224091065279606,
      0.249855090746466,
      0.267512886508737,
      0.260914049961374,
      0.239005261964839,
      0.205097064311453,
      0.174573216976158,
      0.166028091754194,
      0.184584891810673,
      0.213571911348264,
      0.22045098563015,
      0.206097084196208,
      0.198713464928484,
      0.208270114309839,
      0.219340911841212,
      0.219578061633832,
      0.239037273727328,
      0.268136716555746,
      0.257276654218305,
      0.208794431964781,
      0.184504888147515,
      0.198111975737303,
      0.222599029910891,
      0.211704735124098,
      0.195035929192147,
      0.193568227668131,
      0.178907584767391,
      0.153006787959921,
      0.138858602938628,
      0.123840691024692,
      0.101817370699968,
      0.0998469043750652,
      0.113471588876088,
      0.136652761452743,
      0.144454554381502,
      0.136816966034011,
      0.12387059638078,
      0.109097463085264,
      0.0953098396369142,
      0.0631886582768292,
      0.159166723678674,
      0.30297633115541,
      0.399836070477853,
      0.362880289964766,
      0.287390105609078,
      0.260361006625867,
      0.293550031924558,
      0.347923911389012,
      0.429218799440233,
      0.504772633931932,
      0.492156048681297,
      0.38607553121147,
      0.294535034149761,
      0.258355332681597,
      0.280857334239592,
      0.30464932094104,
      0.277939970752569,
      0.217841497754688,
      0.168043776043736,
      0.142736860637341,
      0.139058157397129,
      0.139555143147011,
      0.142560123281542,
      0.145363327534568,
      0.148268414304942,
      0.166325086043753,
      0.206534406758553,
      0.249410842518938,
      0.253791152625416,
      0.23876647133007,
      0.219845363279,
      0.219667962674463,
      0.248642391386602,
      0.288269732532453,
      0.326516504792288,
      0.335231999908517,
      0.304069696791509,
      0.27626767682768,
      0.287292020291742,
      0.302917339531372,
      0.308772862313829,
      0.296998623497706,
      0.275445966784945,
      0.250570978344221,
      0.239032120971886,
      0.244324967484195,
      0.267330848463625,
      0.285375287786153,
      0.286524409322297,
      0.316569453456675,
      0.335225923127032,
      0.301776964707035,
      0.269383795530597,
      0.290405161551009,
      0.352183776945997,
      0.408583729719638,
      0.387430553921223,
      0.291665191059569,
      0.24044912848341,
      0.24675163662326,
      0.268268121898368,
      0.259530194241576,
      0.228264091746568,
      0.208953012719144,
      0.215263289126086,
      0.253373113849003,
      0.279455443226901,
      0.259667569267949,
      0.214642842965133,
      0.194751227983752,
      0.20613669754775,
      0.216650416631394,
      0.220906894711114,
      0.240118578105222,
      0.268147196058005,
      0.280971756231146,
      0.281422033493705,
      0.275704378591729,
      0.269671743087838,
      0.251138254369062,
      0.218666768755863,
      0.197516899951784,
      0.201766359528576,
      0.206529731952392,
      0.177391747857993,
      0.148028666285894,
      0.144224499811846,
      0.162754625405172,
      0.173279631105886,
      0.166017622751572,
      0.159105314899882,
      0.159894756473049,
      0.170471078960767,
      0.19967394925121,
      0.242866214530657,
      0.262866272458375,
      0.2513290388318,
      0.23905993350329,
      0.216651606868179,
      0.192355737309389,
      0.188845802391877,
      0.209720286005598,
      0.236710995582933,
      0.247309130749991,
      0.261610489273888,
      0.295898921601365,
      0.331078640935709,
      0.321066613664779,
      0.268809312297592,
      0.218158492402361,
      0.212258173588473,
      0.234741629976384,
      0.246543760892487,
      0.24083983753311,
      0.252329395859151,
      0.264450120830431,
      0.26853871178736,
      0.279228977954889,
      0.28138675822625,
      0.258766413173345,
      0.244763791229082,
      0.264509044356699,
      0.307434548733206,
      0.338944103343679,
      0.329310223243218,
      0.307113048233603,
      0.299607889938701,
      0.305603312203709,
      0.306924362843699,
      0.278981927195031,
      0.234362878855473,
      0.217488439186131,
      0.244761428945844,
      0.294320982740301,
      0.302272349619251,
      0.253366074941053,
      0.204498792855548,
      0.197506405579313,
      0.21432661210397,
      0.225241381000456,
      0.240422678581039,
      0.267081919340464,
      0.281410064158958,
      0.281039393427247,
      0.281830461723114,
      0.282382660702329,
      0.272627895561231,
      0.238533962604172,
      0.203845581765495,
      0.198511533384126,
      0.230669894671988,
      0.270653720753095,
      0.292182281233191,
      0.292809874277954,
      0.292540217020804,
      0.280906847677186,
      0.272021962879362,
      0.265980426662497,
      0.242289402105198,
      0.213454011041013,
      0.212147112201135,
      0.236801561483015,
      0.257039519346952,
      0.253954322605024,
      0.237605568849806,
      0.2120797233455,
      0.188750706163489,
      0.176114731045937,
      0.181606147103868,
      0.198534459728059,
      0.202088786267295,
      0.192119322506589,
      0.194059350847807,
      0.215576953199303,
      0.240835577825235,
      0.249884277251692,
      0.269546893286057,
      0.28521625868118,
      0.256147229382927,
      0.204485878276372,
      0.18548570618885,
      0.195949115079197,
      0.208999310980663,
      0.195070036140087,
      0.176328309908304,
      0.169140937969406,
      0.156424549457044,
      0.136213835177804,
      0.122681097339836,
      0.111031779311058,
      0.0934958563110486,
      0.0879595018285579,
      0.0959560073380412,
      0.117861081642191,
      0.131218846817699,
      0.124734434378538,
      0.111047352329746,
      0.0977186906434281,
      0.086662271829925,
      0.0551056181093276,
      0.150002473717961,
      0.324102702495822,
      0.465946349641176,
      0.42583627134069,
      0.320737633175842,
      0.27790744168852,
      0.3080506106705,
      0.358020730984101,
      0.437776623256627,
      0.511944973376727,
      0.509584827202017,
      0.411883813425963,
      0.309252736708909,
      0.254058946360413,
      0.264672163190067,
      0.279246114924017,
      0.241914219454416,
      0.187712843375967,
      0.152068821829518,
      0.135793235437797,
      0.130417925673058,
      0.12654543323129,
      0.12948658277415,
      0.134947472823961,
      0.140425095576147,
      0.161246959657079,
      0.20305203751897,
      0.243051009071901,
      0.245266935141268,
      0.232953634827108,
      0.219919038349413,
      0.237854999453759,
      0.289843045379316,
      0.325144932144157,
      0.329418865422473,
      0.330592934842726,
      0.338608362284074,
      0.335861659024055,
      0.327394157137892,
      0.324039108627383,
      0.348570956866054,
      0.360700835378925,
      0.333353103091055,
      0.277453589885859,
      0.242225324246405,
      0.247504490850682,
      0.2798788508319,
      0.289938115152856,
      0.279670015291598,
      0.312628738206744,
      0.343912793799383,
      0.305703072285209,
      0.256483333318597,
      0.262772356257068,
      0.314802595768229,
      0.361314841011965,
      0.355569106901906,
      0.291348339210293,
      0.246332982273355,
      0.243801725245629,
      0.258501709931279,
      0.250390407024739,
      0.222162297805855,
      0.210075621018565,
      0.219342616622382,
      0.252558346619602,
      0.275684624064266,
      0.252948730504788,
      0.207912689211734,
      0.201577316905848,
      0.2333722419112,
      0.258070178578232,
      0.263252660854094,
      0.274184796792241,
      0.276068095925422,
      0.25545249358523,
      0.23788827637103,
      0.257389578913276,
      0.291967981935318,
      0.285629362218837,
      0.234994189646703,
      0.196784850811538,
      0.190286725582701,
      0.187504936509642,
      0.159006248065777,
      0.134007414291727,
      0.132335751169548,
      0.146094739939552,
      0.149229158818769,
      0.140435127431436,
      0.138432888276316,
      0.143681934422441,
      0.15896647606507,
      0.192463321765879,
      0.236834978717396,
      0.253112285317053,
      0.24102889811251,
      0.227196689925139,
      0.207174119235152,
      0.189961415227593,
      0.197969398081115,
      0.225816720954753,
      0.246387503014095,
      0.238454637182842,
      0.237193275302767,
      0.269406334702856,
      0.317132356155696,
      0.31986417769829,
      0.272485240559163,
      0.221548636469979,
      0.21278226671926,
      0.236180340907673,
      0.250402402718378,
      0.250620854309015,
      0.279687347406066,
      0.3051134525505,
      0.289086266502423,
      0.275474572999127,
      0.280419424000003,
      0.259215586951283,
      0.242723371223328,
      0.258916263657705,
      0.291938740143281,
      0.31177210510298,
      0.311691427482382,
      0.309048528571798,
      0.307185418517712,
      0.301499347328584,
      0.289620050295428,
      0.262558237252991,
      0.22942291931751,
      0.21620856911563,
      0.240399621070699,
      0.283881072367625,
      0.285860598607644,
      0.231787425603589,
      0.194876099224411,
      0.209231685493714,
      0.245573806238066,
      0.261230552420895,
      0.271732800429741,
      0.283024971394371,
      0.268940197763912,
      0.242082047214279,
      0.24452437755599,
      0.284121576139254,
      0.305506508747768,
      0.265662541840221,
      0.209141931504613,
      0.188747997626092,
      0.202986228700444,
      0.229852002327928,
      0.254633311980707,
      0.270209382693681,
      0.272222268991832,
      0.257199818009449,
      0.241962342047291,
      0.237808125866555,
      0.227941754452372,
      0.208231283802586,
      0.205690451894264,
      0.22689294526977,
      0.247133639196716,
      0.247766859779921,
      0.236209178171683,
      0.21659796272323,
      0.202234947023822,
      0.194047630046377,
      0.19765487999727,
      0.203827993179905,
      0.195179711861461,
      0.177881458827784,
      0.179099981239129,
      0.200323754077741,
      0.231534497040863,
      0.245509506091961,
      0.262429211689309,
      0.271938244076495,
      0.245832437206992,
      0.201977071721073,
      0.187477318352431,
      0.193683092896733,
      0.192348955118044,
      0.169221402759456,
      0.147800138138205,
      0.141890978661546,
      0.136919593214074,
      0.126975970827394,
      0.116542725920684,
      0.104467460616891,
      0.0869337520142023,
      0.0822119418352153,
      0.0924928353615972,
      0.11583008947125,
      0.128404421849401,
      0.120629247473409,
      0.10618314435518,
      0.0922395904386512,
      0.0820680218438491,
      0.0576799571408206,
      0.157346420550443,
      0.334761394153702,
      0.476504270142735,
      0.447277274814977,
      0.361695931735911,
      0.319607337447668,
      0.323631157036297,
      0.340858045989171,
      0.400079323772311,
      0.463728445082013,
      0.464229164929632,
      0.385750543649392,
      0.299973802554778,
      0.25382599713567,
      0.265966261966866,
      0.273509198268013,
      0.221278202008282,
      0.162620415221922,
      0.135452276290049,
      0.130094423331416,
      0.128383031914398,
      0.121210518718673,
      0.1212009338166,
      0.12591539203544,
      0.132900109054809,
      0.158403457386104,
      0.205321809529682,
      0.244737317576554,
      0.241022898469145,
      0.224742948871954,
      0.21250567282469,
      0.24102103059801,
      0.297890019218807,
      0.309818074658531,
      0.289975392286325,
      0.303674164348416,
      0.335101726005806,
      0.332320604523226,
      0.321099925853299,
      0.324362246851929,
      0.338430970217097,
      0.34136145442228,
      0.336752432073171,
      0.30751740557234,
      0.273787785877398,
      0.254686718332549,
      0.263910435873694,
      0.281210425493955,
      0.28440968454212,
      0.315836597927312,
      0.357100574211012,
      0.333722492423086,
      0.287347585592483,
      0.27877415834903,
      0.295590961742656,
      0.304254971061655,
      0.310307838581183,
      0.289392834864372,
      0.261483116640342,
      0.252400863797002,
      0.26024373687199,
      0.257232463820459,
      0.232149411983933,
      0.215531004793338,
      0.222869973749325,
      0.261427354770898,
      0.288048579444823,
      0.257011049726461,
      0.210860000599101,
      0.226419876102797,
      0.279379195174246,
      0.300641698422376,
      0.286107072792454,
      0.283482130301208,
      0.268318329961462,
      0.231088246457519,
      0.208502063364067,
      0.25558095321766,
      0.326707793756064,
      0.327736010098399,
      0.264590262720443,
      0.223506163978857,
      0.214091914066078,
      0.193651226729826,
      0.14976861746947,
      0.121142909358799,
      0.120473550351705,
      0.13228087070045,
      0.133322906525628,
      0.123717915622869,
      0.122218013170509,
      0.128946459546402,
      0.150009573001673,
      0.189808402139369,
      0.235635243770225,
      0.244901535282413,
      0.225160216870153,
      0.207434981856036,
      0.19411166221334,
      0.199732044434977,
      0.234479193229115,
      0.264345118802772,
      0.256335378805778,
      0.225180448644701,
      0.224269819471708,
      0.267719250121888,
      0.323777926628428,
      0.317479140622711,
      0.251932170428327,
      0.197343583874328,
      0.199136946566284,
      0.233670154695006,
      0.261872770900539,
      0.268643433151998,
      0.288680990745702,
      0.297779772596956,
      0.284053564746411,
      0.280496969833532,
      0.298574429532193,
      0.284604527598011,
      0.259768460126251,
      0.254240044707487,
      0.271003974669512,
      0.295349190001127,
      0.304732223776414,
      0.291604708533326,
      0.281261355074261,
      0.281455559287643,
      0.285372084051266,
      0.265183021182989,
      0.230122755043568,
      0.216031902567515,
      0.24688750136683,
      0.291153682319863,
      0.284603099715024,
      0.22276458289287,
      0.203615495172775,
      0.24785906543586,
      0.29911937634375,
      0.302609764508934,
      0.295712377149184,
      0.289724235978384,
      0.253598521956212,
      0.212766890899468,
      0.223804790169149,
      0.299986823328222,
      0.344370743445899,
      0.299146253159163,
      0.233170041486353,
      0.213559358673855,
      0.218324660996862,
      0.229662651708782,
      0.248339644284945,
      0.271550476614501,
      0.271394131015056,
      0.248042310991526,
      0.23063068132633,
      0.228720985324902,
      0.222450921558698,
      0.204540107556525,
      0.201878587577047,
      0.222042057072615,
      0.242040832046221,
      0.242653977723443,
      0.229355880400906,
      0.210613400132764,
      0.209712264305099,
      0.222807602042011,
      0.238388242169794,
      0.233846093249404,
      0.205854491533887,
      0.172862543004782,
      0.161856701321216,
      0.169879122253024,
      0.196309178966173,
      0.217084567569291,
      0.244038306157325,
      0.257496045747434,
      0.235328877463982,
      0.196765080952282,
      0.184966338658402,
      0.191187079861365,
      0.183179617635818,
      0.150481754598859,
      0.127368288907961,
      0.129791220889777,
      0.131005808658353,
      0.122011757244628,
      0.11084259502761,
      0.101142352297839,
      0.0852527116549317,
      0.0799771725537665,
      0.090335751768841,
      0.114214951475156,
      0.126522293143827,
      0.119769821030248,
      0.106699898102579,
      0.0912570463327417,
      0.0776641611036763,
      0.0685355421005625,
      0.176783765258144,
      0.32765237177143,
      0.420864228659239,
      0.416521008189469,
      0.402391094301882,
      0.381518789183636,
      0.346600529919839,
      0.321412143176052,
      0.361490426106884,
      0.41337774587042,
      0.399536328729974,
      0.33132867838535,
      0.277946990562381,
      0.261618371806573,
      0.281616386506276,
      0.281144996487726,
      0.222009008267088,
      0.163062469427533,
      0.142801825320654,
      0.146060859500073,
      0.14941116796052,
      0.141430844519561,
      0.137342704843578,
      0.137461100022033,
      0.144726424368842,
      0.175880553060145,
      0.227434530938983,
      0.264138026354151,
      0.254120020633597,
      0.236893663456092,
      0.220329435405075,
      0.22760277468905,
      0.255100894443908,
      0.257311891193043,
      0.254306124872926,
      0.286920012675098,
      0.312440869017535,
      0.297097877747187,
      0.291404102682282,
      0.306806263948763,
      0.302837189904376,
      0.279864080306794,
      0.275743690449525,
      0.275761636606587,
      0.269821078060053,
      0.260273045730314,
      0.267751285778311,
      0.293127091213191,
      0.303843215537072,
      0.330832803964194,
      0.371109699907204,
      0.36928209048103,
      0.347694789518372,
      0.333864860047442,
      0.307858720655023,
      0.274119354917244,
      0.284267375795522,
      0.28174737788696,
      0.256141779928788,
      0.244543870207774,
      0.266814872669532,
      0.292257080748693,
      0.274445965906664,
      0.239094257139194,
      0.229007859442454,
      0.269031352124461,
      0.309552924049513,
      0.288838190802116,
      0.247651673671418,
      0.276692777421232,
      0.335404097014414,
      0.344999650564887,
      0.308871664403978,
      0.285004331991432,
      0.25232285523318,
      0.217653855626006,
      0.204861061447,
      0.256231266276911,
      0.333332170449141,
      0.338854846317261,
      0.280528382294618,
      0.248906330974449,
      0.245114670216016,
      0.220631919074982,
      0.170031796400744,
      0.135432150876617,
      0.130635314870004,
      0.142062705973726,
      0.146313130065106,
      0.136610702957805,
      0.133629391906235,
      0.137033849049741,
      0.157100468766535,
      0.198006405627458,
      0.24603712744573,
      0.251616116051515,
      0.228446138395121,
      0.209617141099462,
      0.197350391738832,
      0.213096982311391,
      0.261202611891805,
      0.303679760618382,
      0.301695523198262,
      0.270305099327072,
      0.26304491097752,
      0.305080165071014,
      0.368880122779983,
      0.358442235546757,
      0.265985490078648,
      0.196061431277372,
      0.209150829592136,
      0.25910725304438,
      0.2975585221133,
      0.296512844255608,
      0.289575202847911,
      0.272394502024335,
      0.272058727386555,
      0.291761037510067,
      0.324833200221455,
      0.32733812309437,
      0.30425428186136,
      0.278993070171741,
      0.269486025778263,
      0.283902319371554,
      0.292807485568507,
      0.275746562618798,
      0.262356108308453,
      0.271346109824563,
      0.29623092089943,
      0.289114073420271,
      0.250653524442673,
      0.225809105345266,
      0.249922597044724,
      0.289470321879173,
      0.288014565402345,
      0.236333035167743,
      0.239423313446333,
      0.301564687367309,
      0.349022472974558,
      0.332410276085012,
      0.304091359831925,
      0.278057493253038,
      0.235104203448688,
      0.204959013383614,
      0.224696857438641,
      0.309568188601121,
      0.359226744583472,
      0.314867234853976,
      0.255235512076179,
      0.2439002657253,
      0.243535641073875,
      0.241834438432583,
      0.255682857872314,
      0.285282171522107,
      0.286852957412245,
      0.260813073728857,
      0.241619122288622,
      0.233215124299308,
      0.219750242288503,
      0.206547776381077,
      0.215834473311736,
      0.242440823288124,
      0.258781853365729,
      0.254505661837071,
      0.241620763392056,
      0.217056099439633,
      0.204594948729456,
      0.214596851953209,
      0.232742590955304,
      0.236680080666335,
      0.223359277552698,
      0.196332755215966,
      0.178162220479577,
      0.174577160281097,
      0.18772498455952,
      0.202319690167549,
      0.228744488048088,
      0.24102948592348,
      0.22208527389425,
      0.192674295813136,
      0.185676537131512,
      0.193565001631089,
      0.188277837862407,
      0.158422467957116,
      0.139050421172272,
      0.14697251883041,
      0.151085867160117,
      0.141669571574723,
      0.128776863715795,
      0.117204328910892,
      0.0973395290951178,
      0.0889580278893854,
      0.0979797964724765,
      0.12400652113708,
      0.139396378885057,
      0.137770113758602,
      0.13000328053072,
      0.112423616501779,
      0.0903789879479828,
      0.0835634517816445,
      0.194469811338597,
      0.311659627566659,
      0.354585007748913,
      0.367157615429853,
      0.413498543398581,
      0.425440477012909,
      0.377585152420497,
      0.324747046292601,
      0.341942320139684,
      0.37718162200942,
      0.353243356214888,
      0.299524936768391,
      0.286579788750149,
      0.30592512056847,
      0.32780319715558,
      0.305472771459842,
      0.235281281491569,
      0.178611909801076,
      0.170856780372054,
      0.192085952843935,
      0.20955227557846,
      0.205654059017463,
      0.201412572711155,
      0.197822590327682,
      0.198349567132188,
      0.222398360099243,
      0.273034221403617,
      0.320466802524921,
      0.32047585123026,
      0.306669619100096,
      0.289112446644058,
      0.274042537474882,
      0.256239911412911,
      0.244594474625154,
      0.259947541963619,
      0.301626719147047,
      0.312778264801652,
      0.283365997866851,
      0.267413191182872,
      0.28034048992569,
      0.285174915229928,
      0.264005626980267,
      0.236212519993801,
      0.228511982279589,
      0.248681163795703,
      0.277290319032519,
      0.300490534767395,
      0.312893051686231,
      0.312871938428736,
      0.340525462210115,
      0.385878910566644,
      0.39169216277787,
      0.379962176357117,
      0.360777667335796,
      0.318135056733682,
      0.27638241188454,
      0.281210988291174,
      0.268896116165574,
      0.249717568699204,
      0.25357012566203,
      0.286970095742842,
      0.322343060308656,
      0.313680696405334,
      0.281402367872247,
      0.270377470386512,
      0.304383111993992,
      0.331759648586791,
      0.313736815092088,
      0.27907168316617,
      0.300724676456662,
      0.343665484190087,
      0.351340598483436,
      0.323155441038635,
      0.299700786456262,
      0.267407529140445,
      0.24606227640199,
      0.236970412459288,
      0.26080229920581,
      0.309265075041689,
      0.323216114696032,
      0.300562441936836,
      0.292154747864774,
      0.290623445164774,
      0.265073976659377,
      0.214526936416172,
      0.177263766728589,
      0.173251474612294,
      0.192510430342724,
      0.20222854756935,
      0.190810629283184,
      0.187757990412305,
      0.187967160551055,
      0.202168179819248,
      0.239162534656417,
      0.294397594379002,
      0.309088822162266,
      0.289827783951719,
      0.271928554144379,
      0.254402700921717,
      0.235826890721086,
      0.234398597416634,
      0.251677488922876,
      0.264790530901228,
      0.25384328476755,
      0.245136033334896,
      0.278440475110377,
      0.344700051189492,
      0.354161532521548,
      0.280507864315872,
      0.208845193224479,
      0.195623134105131,
      0.219635201225657,
      0.25099778112075,
      0.264405164017419,
      0.281149314276114,
      0.291364679045861,
      0.29954550184965,
      0.306031173718219,
      0.319354369074247,
      0.322741984019793,
      0.313296885999158,
      0.292271588125587,
      0.277405845082033,
      0.285484888879765,
      0.29604815004289,
      0.289314692863116,
      0.283025894480291,
      0.28957814465485,
      0.316057806762055,
      0.317516118135051,
      0.282932663059395,
      0.254499312032126,
      0.269972182239448,
      0.302364503785962,
      0.31404801211262,
      0.276644848684628,
      0.270607298627852,
      0.311740101400936,
      0.349000022265836,
      0.342065225000696,
      0.321186653980598,
      0.292366234198359,
      0.255100448971136,
      0.238054223391699,
      0.247869692039487,
      0.299546913548873,
      0.336245674264087,
      0.317023254387646,
      0.289088340429534,
      0.2871049729913,
      0.278411901708186,
      0.268219487032246,
      0.28311804885402,
      0.31917143583099,
      0.331070115727903,
      0.316723203820226,
      0.3018787052172,
      0.290088504986047,
      0.268116658815202,
      0.251507951045139,
      0.262483484357052,
      0.294516172989856,
      0.320053242977814,
      0.322496866365772,
      0.311134097784476,
      0.285972624872879,
      0.260990446806719,
      0.243685467665302,
      0.242840257377764,
      0.249033874420269,
      0.240997772518734,
      0.215140942771122,
      0.208583837102215,
      0.22003912700199,
      0.222801715424883,
      0.213356529081999,
      0.233353463876222,
      0.25444897537216,
      0.241095974952621,
      0.207414600577635,
      0.193841739508551,
      0.204207756331823,
      0.216539507092814,
      0.202600888293059,
      0.186986345738077,
      0.194790094670462,
      0.204574455534051,
      0.204223337683214,
      0.197295078466101,
      0.185289386735566,
      0.15571855529961,
      0.141302794359783,
      0.150968860275679,
      0.184889622927637,
      0.202499647579058,
      0.201242765286006,
      0.196365208848379,
      0.174739678961259,
      0.137789094146869,
      0.124153342411912,
      0.248056755181541,
      0.336882271345131,
      0.329488768614698,
      0.326377646503086,
      0.383527676454577,
      0.428455002815069,
      0.412340596499932,
      0.356880933752453,
      0.341227580791676,
      0.355976358556015,
      0.335402820654778,
      0.303578717933314,
      0.337927911206258,
      0.394741621286884,
      0.410161212191691,
      0.34514687466344,
      0.251941594242814,
      0.20756628897628,
      0.234884493776789,
      0.295334093573006,
      0.339918602093092,
      0.341621990223993,
      0.334685947906895,
      0.321529626729681,
      0.306046175944301,
      0.31254492025192,
      0.359653784203313,
      0.427871554135946,
      0.446609725880656,
      0.441501470283428,
      0.430298379175285,
      0.407323239631585,
      0.350044300584907,
      0.306282098452044,
      0.310756273161735,
      0.341070712242274,
      0.338810151967083,
      0.309237518575271,
      0.292576687938496,
      0.301923798400865,
      0.317663610833638,
      0.312540765849688,
      0.288961635589995,
      0.280498946088934,
      0.299370055271703,
      0.324863253160625,
      0.348812370879934,
      0.36481500713766,
      0.36796933862168,
      0.401656760243468,
      0.448318270829502,
      0.433800511473825,
      0.404805654958879,
      0.387180212008276,
      0.367724329206317,
      0.353014523756989,
      0.351123434191315,
      0.304103640185473,
      0.269804991348728,
      0.276247082244899,
      0.323608937801911,
      0.384150845570047,
      0.396962451442924,
      0.37370100057839,
      0.362641594490703,
      0.380397066757908,
      0.380529259267681,
      0.367644237456677,
      0.338060548994651,
      0.338356072291085,
      0.364530074119293,
      0.380626871553653,
      0.368605428699323,
      0.360711156218938,
      0.350289205252428,
      0.346516089276799,
      0.337434496058542,
      0.329513140296313,
      0.340076355290577,
      0.36735140582253,
      0.386901618743942,
      0.391286018798835,
      0.380641470679288,
      0.362930373098861,
      0.324669718062181,
      0.285103014086546,
      0.284697967886287,
      0.323415630871058,
      0.347082669641969,
      0.329071730543377,
      0.319582836464993,
      0.307188118889093,
      0.304305162854915,
      0.330471764799803,
      0.399297778481869,
      0.431999067067621,
      0.424934152486686,
      0.417622563487708,
      0.405343137943369,
      0.349782584740453,
      0.298386754489193,
      0.285455845621021,
      0.297085073167967,
      0.289296407948327,
      0.2738922954615,
      0.279328454092865,
      0.314463672680099,
      0.344794834333839,
      0.326773472452933,
      0.288569001685018,
      0.273077293583034,
      0.272634856206892,
      0.268663706983245,
      0.270355522812077,
      0.30042090157633,
      0.331572892030882,
      0.360723562998103,
      0.37953155199569,
      0.369737552239472,
      0.342415291704496,
      0.328336904453964,
      0.321325391536998,
      0.327501798810685,
      0.354911591747713,
      0.380948341380961,
      0.375275811440971,
      0.357247646866006,
      0.353562132553733,
      0.388515528634946,
      0.403982410595674,
      0.372098464524035,
      0.341839589753001,
      0.353048710256331,
      0.379886758913882,
      0.402358533050613,
      0.371380285720898,
      0.334868021603154,
      0.343083085388858,
      0.37734639135906,
      0.384585943089372,
      0.375474755761609,
      0.36412099309911,
      0.34971973165038,
      0.344920368883005,
      0.341731359890569,
      0.349678959449855,
      0.365340461816572,
      0.379277595059579,
      0.381042785021956,
      0.376458873082579,
      0.355163192047513,
      0.340415285870396,
      0.359347760274265,
      0.408976417378167,
      0.439506258608245,
      0.440953954006545,
      0.431324370189356,
      0.419751769687828,
      0.391802926341213,
      0.362699050481205,
      0.360598587359287,
      0.39066973252324,
      0.428726893351895,
      0.444876586376746,
      0.442356786214618,
      0.427716905688908,
      0.396815155893447,
      0.343633511250254,
      0.316772828974742,
      0.327435295489333,
      0.322521388809069,
      0.291192336171596,
      0.293251413381103,
      0.321606096420384,
      0.321973178534227,
      0.291236643357443,
      0.303626377999018,
      0.340634196182585,
      0.346890979484709,
      0.305151455957651,
      0.272465016350159,
      0.279200191220523,
      0.310858384716019,
      0.304628270930317,
      0.282989541148332,
      0.301735118101311,
      0.333863585282819,
      0.345675145661551,
      0.342337545264238,
      0.329963029126634,
      0.277588677803556,
      0.244982554668842,
      0.252306467177604,
      0.309101202235128,
      0.343096362806732,
      0.339041462759893,
      0.323701823581653,
      0.284564778929142,
      0.219700665891602,
      0.170118603159743,
      0.314257097334657,
      0.383248080439245,
      0.330106788872786,
      0.297153813297233,
      0.337873219715477,
      0.406938553911998,
      0.443910489204482,
      0.408044159904301,
      0.3619751633967,
      0.350722878913876,
      0.339369973764929,
      0.319569043046599,
      0.36552294820246,
      0.43398504316924,
      0.456028777393392,
      0.381982954195786,
      0.28204935729463,
      0.272417597395088,
      0.383700421879428,
      0.519815344462812,
      0.591154443821219,
      0.586241014999378,
      0.577189889256193,
      0.539859094755747,
      0.490097054514112,
      0.478261981936444,
      0.524607577735905,
      0.589046490543506,
      0.592748623359843,
      0.596200706922151,
      0.596876168932061,
      0.579196404962086,
      0.500448417892402,
      0.425136168656498,
      0.409525499535711,
      0.434581479693801,
      0.429046961334493,
      0.402522706558835,
      0.390116659148425,
      0.394474251230168,
      0.402205473213578,
      0.40953232186567,
      0.424871351576516,
      0.424734266557083,
      0.421514308493944,
      0.428171853711115,
      0.457903801299231,
      0.477576145527606,
      0.481457233015126,
      0.509918269018122,
      0.520723534581773,
      0.471925360996997,
      0.43769589753305,
      0.443611584911293,
      0.471107868773356,
      0.500876602552135,
      0.495158118220451,
      0.40556244537822,
      0.348940521680824,
      0.358340762204106,
      0.42249540791475,
      0.49316956997388,
      0.509087266674514,
      0.491466646221227,
      0.487366115419099,
      0.507263629058503,
      0.496709499253034,
      0.471634933790016,
      0.437460354801776,
      0.438825578860472,
      0.470847581124133,
      0.491831686516489,
      0.48674897837595,
      0.502723953277193,
      0.521229272650195,
      0.529733708115396,
      0.519421400456541,
      0.494921035869361,
      0.476593310451472,
      0.488283419846308,
      0.499049380561459,
      0.50097421202247,
      0.510319369895904,
      0.533363668525737,
      0.510613895452134,
      0.4744441952296,
      0.494288136778907,
      0.562632584185787,
      0.595431805609032,
      0.56542786817738,
      0.561812506424059,
      0.54094556644765,
      0.507112605689237,
      0.494912777316918,
      0.563868022700555,
      0.603659438156157,
      0.599174154497686,
      0.600323691641789,
      0.58836702787352,
      0.506238556220305,
      0.446723756595046,
      0.44283956998467,
      0.453145046997687,
      0.444289695761091,
      0.438116198076089,
      0.433465040596911,
      0.427437294922058,
      0.43349906521954,
      0.417331875541716,
      0.402409017878207,
      0.412291791361126,
      0.429930524534443,
      0.424505911958685,
      0.405313821613561,
      0.397770918998407,
      0.395796289810576,
      0.426962173810172,
      0.472135500086274,
      0.488974807460147,
      0.462828897230295,
      0.42842606888532,
      0.408974153112701,
      0.429991050942696,
      0.485105581708473,
      0.523627381637701,
      0.511514517171498,
      0.480630847309857,
      0.474424005845138,
      0.516506892083009,
      0.529190269951268,
      0.49885570934008,
      0.483827925996603,
      0.508833679520561,
      0.532167567825966,
      0.546956462493808,
      0.501726446596269,
      0.450602959722053,
      0.457632651509878,
      0.494225606936976,
      0.493087782327055,
      0.493667451022516,
      0.517262241164882,
      0.52690927162468,
      0.524575979547158,
      0.518179447978429,
      0.501954732023142,
      0.488820675727722,
      0.497443201079732,
      0.49678071750195,
      0.490375976387585,
      0.472735401230977,
      0.461183490652016,
      0.481991534425127,
      0.547419230768827,
      0.59067080388576,
      0.594743639727483,
      0.587178798592754,
      0.586501959235377,
      0.557929130573974,
      0.512732716766135,
      0.504898264954249,
      0.545381752896066,
      0.583554191076739,
      0.590399080471283,
      0.593842265942123,
      0.592764311846955,
      0.570713888225438,
      0.502437382164749,
      0.459328835819123,
      0.472166054515232,
      0.482582492119567,
      0.461323612142772,
      0.473334580452893,
      0.523567098881522,
      0.54323457808245,
      0.496483063500711,
      0.485151316714179,
      0.51818174519965,
      0.51526222312398,
      0.455093580589554,
      0.427888856146226,
      0.45590304984745,
      0.499186293344616,
      0.492508105677152,
      0.478023021063073,
      0.518148620880631,
      0.562900364713299,
      0.577901441302226,
      0.5753114223919,
      0.603925039603837,
      0.549722403263473,
      0.488881748976003,
      0.483194813676533,
      0.560882416555542,
      0.580278923642696,
      0.56985723966081,
      0.57221659823711,
      0.515246610288353,
      0.390075804378268,
      0.155458633785767,
      0.289727290137125,
      0.357315593854849,
      0.317303073712399,
      0.281596477904689,
      0.295538147723588,
      0.350347201946982,
      0.407663670674626,
      0.403272583247927,
      0.371924067927244,
      0.360724951703447,
      0.348032027571612,
      0.314197936646139,
      0.325775080155207,
      0.379762552931598,
      0.428848844407486,
      0.397828448048007,
      0.310421918018345,
      0.297197761310561,
      0.391465034590712,
      0.493380233728574,
      0.514927159339985,
      0.481580235476609,
      0.500104953958708,
      0.525843001012383,
      0.509381775049053,
      0.487384876990079,
      0.511982513592086,
      0.562044506024751,
      0.548766922916014,
      0.530202026774262,
      0.508066343754345,
      0.477784259613679,
      0.429521664153805,
      0.399852153642024,
      0.394176362702684,
      0.400946203347391,
      0.395483138920745,
      0.407598689873663,
      0.446006053544221,
      0.461674209196131,
      0.433264638249616,
      0.402323977843717,
      0.397866833416905,
      0.383545850004104,
      0.378344173720796,
      0.394301014561227,
      0.43438445822996,
      0.452999395818021,
      0.445875552645485,
      0.460350538987522,
      0.458360986558778,
      0.410562566539555,
      0.390250090229939,
      0.4135390683357,
      0.456471466769296,
      0.482836692994789,
      0.464173853526406,
      0.385933193298438,
      0.340828952658545,
      0.349311754035393,
      0.40204428335348,
      0.448254613798107,
      0.44761879073169,
      0.443282593812958,
      0.463086638867465,
      0.496566613904099,
      0.478089380191101,
      0.413304688649428,
      0.368599484681535,
      0.393979413422544,
      0.440551241603704,
      0.444665005670671,
      0.426196871147777,
      0.451106896808315,
      0.475391629777212,
      0.476872689016091,
      0.474562974145766,
      0.473119878198582,
      0.450463241679562,
      0.429900827229317,
      0.419846904542512,
      0.432416632076422,
      0.474137305960783,
      0.501132796373313,
      0.441408939497281,
      0.400360824222822,
      0.444138423342582,
      0.518152660558367,
      0.536152930774771,
      0.506703705920502,
      0.497052707096887,
      0.47431238971508,
      0.471811367964934,
      0.503595734256812,
      0.566425824071547,
      0.555154915879085,
      0.523005947781275,
      0.507856791762614,
      0.482204511315005,
      0.432773125084465,
      0.416120016227112,
      0.417702169525974,
      0.404839289202964,
      0.390470699873761,
      0.40860419453137,
      0.441529328456858,
      0.447929314517272,
      0.412219033828478,
      0.355648455732807,
      0.341281373320448,
      0.378972036738483,
      0.430596771969446,
      0.440756054664753,
      0.405426119466131,
      0.373360674023269,
      0.359544769038638,
      0.389430643463938,
      0.430296239124639,
      0.444052007040635,
      0.426234093685726,
      0.400032701142973,
      0.385456546056375,
      0.409023054193268,
      0.455837002078597,
      0.472650021978918,
      0.459790671935358,
      0.446564746380961,
      0.44640043191335,
      0.47182348507134,
      0.467136760417751,
      0.434445285599131,
      0.42978238445946,
      0.47728820654771,
      0.518240872009791,
      0.494218882861066,
      0.412070522091923,
      0.377855797739549,
      0.40481894732453,
      0.437365816294255,
      0.432947018093758,
      0.446264188530022,
      0.477197423815355,
      0.477380905821681,
      0.464106964400079,
      0.466925755570181,
      0.470815655278504,
      0.455617455814065,
      0.433346606896048,
      0.416790744716938,
      0.430022748838641,
      0.450963023835052,
      0.466495061072287,
      0.489994975202586,
      0.53347697496636,
      0.54096217598582,
      0.523713993518226,
      0.51752023373855,
      0.528181638640081,
      0.514188259175792,
      0.47944402355642,
      0.475226160962017,
      0.515909777171622,
      0.552270456009814,
      0.54773155616009,
      0.53109318141182,
      0.5038376825172,
      0.468341385187495,
      0.434195978063686,
      0.433564227508809,
      0.431440186012618,
      0.399256054094477,
      0.381000930463572,
      0.413740649647248,
      0.460037963772998,
      0.480036980960602,
      0.469921143423387,
      0.477242384294924,
      0.471672979287978,
      0.418487792521467,
      0.36376917746318,
      0.388711622390868,
      0.465063927334279,
      0.490203751534438,
      0.435939387211203,
      0.42833979627459,
      0.477734986206491,
      0.491214142998456,
      0.503796996230998,
      0.522619795632164,
      0.509029223686605,
      0.432627778070818,
      0.406535684597328,
      0.433417376189557,
      0.504048449498367,
      0.519970989764649,
      0.510239706457081,
      0.48793374189664,
      0.430017104090443,
      0.352160167307421,
      0.097339779628331,
      0.199350228446492,
      0.277890149086969,
      0.289946255774284,
      0.272162073274592,
      0.268798260208824,
      0.292843179095657,
      0.330663681024039,
      0.341736496026108,
      0.353234720609572,
      0.372736386201336,
      0.349702429007064,
      0.293008788389895,
      0.277521351333826,
      0.323557810542957,
      0.397419772148271,
      0.416581395532217,
      0.342126453711773,
      0.271934820544821,
      0.262643159959559,
      0.280683703073123,
      0.28022002096999,
      0.265934023582282,
      0.276315389468138,
      0.288333810083459,
      0.289554642475502,
      0.308969062620566,
      0.361097640868878,
      0.405538907201404,
      0.384957774722002,
      0.358973067468069,
      0.336001048173594,
      0.31505651951316,
      0.291503104661759,
      0.274847991769978,
      0.274605765709666,
      0.290295333421308,
      0.299659355505446,
      0.326351065472229,
      0.379722156002722,
      0.40231836011318,
      0.378538822243525,
      0.339816446739298,
      0.298247510441552,
      0.258987438810163,
      0.247451955383342,
      0.262833211847528,
      0.313875156774663,
      0.362800585117852,
      0.362131164139751,
      0.36301264767097,
      0.359033790539663,
      0.320635596958399,
      0.309727547539599,
      0.326647849358265,
      0.349672000591479,
      0.359694331191136,
      0.340758807532393,
      0.288084799965216,
      0.275208529792982,
      0.303487843489729,
      0.343180661731103,
      0.35270856895128,
      0.326797318128222,
      0.314392191462709,
      0.329353456002358,
      0.363947129286029,
      0.360482658442183,
      0.30819916142445,
      0.250236441629886,
      0.239115227750061,
      0.263939121537609,
      0.294082049066735,
      0.301940686028266,
      0.307125467836715,
      0.30494090217689,
      0.302964555177485,
      0.303388209446051,
      0.302933403854409,
      0.290153056008617,
      0.287680499686911,
      0.299128020748214,
      0.318869073759588,
      0.351835150462831,
      0.372955971562121,
      0.31956970619586,
      0.254387414821436,
      0.240374318193017,
      0.262790666596835,
      0.277256834793676,
      0.268718710934747,
      0.266878358931839,
      0.268068858628974,
      0.288414892185291,
      0.330355618925417,
      0.385224019623578,
      0.385056065923305,
      0.357214505340858,
      0.334497375953072,
      0.303341890453593,
      0.272085996019841,
      0.267418763229752,
      0.268377414876879,
      0.253675978432341,
      0.234559794265087,
      0.24338510239283,
      0.278641384895977,
      0.309081048829744,
      0.319490460758266,
      0.314024727385689,
      0.275178613320196,
      0.244925029301194,
      0.246095517650106,
      0.255179025862285,
      0.244615534617647,
      0.249984681015069,
      0.271680313889756,
      0.296890238968332,
      0.307251882326974,
      0.304708528054631,
      0.290591286317912,
      0.274484681988627,
      0.273949475037853,
      0.302942821825157,
      0.336353157616012,
      0.340646852841242,
      0.338165439293898,
      0.340231671112539,
      0.340026517714474,
      0.349861806830559,
      0.334227462326738,
      0.301476807667472,
      0.295140092050965,
      0.331852029058093,
      0.360755283820456,
      0.339207523892837,
      0.274894046526427,
      0.236626585696008,
      0.243712711415825,
      0.27905153064635,
      0.303008507350584,
      0.313575705985684,
      0.316208311423692,
      0.305561374016127,
      0.30034104800334,
      0.305820727257071,
      0.308381362734134,
      0.299831321530148,
      0.29770833205594,
      0.300391763860792,
      0.314957623627021,
      0.33992371564535,
      0.373127593710216,
      0.398805165488694,
      0.410837989827767,
      0.39418332018065,
      0.364349093684733,
      0.347842509418063,
      0.349130162341162,
      0.337021174269878,
      0.31691737370006,
      0.327083863570734,
      0.370545256744165,
      0.398282185247066,
      0.382726674711871,
      0.35882591861809,
      0.330192609373223,
      0.303105579738778,
      0.28201390600059,
      0.27097955633077,
      0.253753359303349,
      0.225294619599811,
      0.206192578746301,
      0.219024176554315,
      0.24911575524833,
      0.28251404910259,
      0.298653761164888,
      0.309724455044886,
      0.301713607902352,
      0.267018332430018,
      0.229412142659978,
      0.234914534298106,
      0.267019842914335,
      0.275633537715424,
      0.250877231754489,
      0.25363905737526,
      0.282197401000177,
      0.28501478616462,
      0.272805407099694,
      0.266758813347825,
      0.254349260151021,
      0.216431029883557,
      0.200521057531561,
      0.215166038995434,
      0.261419998330744,
      0.286556161102837,
      0.286582253329036,
      0.27384812292581,
      0.24010547012541,
      0.194104833030803,
      0.0626011154148747,
      0.147718232387817,
      0.233161898846354,
      0.269148308850451,
      0.259583551275202,
      0.255012756230912,
      0.263046322774105,
      0.27814506743024,
      0.292120593831873,
      0.335427638158456,
      0.378672630042749,
      0.347829664779115,
      0.280925432060373,
      0.254315451143561,
      0.284021117630274,
      0.34813309690241,
      0.385353615223571,
      0.337331700974327,
      0.250048046432913,
      0.191877354159545,
      0.172677887737326,
      0.171317025358605,
      0.168380481152014,
      0.172340901646964,
      0.177096122544204,
      0.180677606617092,
      0.200982303066129,
      0.244627800386788,
      0.285763066566446,
      0.27910814125084,
      0.258539954605377,
      0.237994869500498,
      0.223996223749974,
      0.211013899426949,
      0.209499196318877,
      0.23920644908218,
      0.285250526090717,
      0.301504655947798,
      0.298208848749406,
      0.307680362998021,
      0.320370082630976,
      0.336817768406933,
      0.322810948870723,
      0.273179566409172,
      0.241982401637444,
      0.2456359900763,
      0.259077061306599,
      0.29216751472324,
      0.329179922822127,
      0.330440739218651,
      0.340088639321622,
      0.338572455540459,
      0.300472237870518,
      0.28848446368341,
      0.297757608012477,
      0.301572290395055,
      0.300631023306928,
      0.290572903399886,
      0.253365546068708,
      0.269403315631562,
      0.325472693059812,
      0.353457965904802,
      0.310038205769933,
      0.262025710128845,
      0.262204914220089,
      0.280027718340147,
      0.294720830941959,
      0.283677963424187,
      0.256148527478697,
      0.20448841140496,
      0.174288872743319,
      0.188930475448155,
      0.244242431950353,
      0.274431926201764,
      0.267431765376983,
      0.250749693438421,
      0.253261161505229,
      0.25162651278947,
      0.235792510074966,
      0.222220006142039,
      0.245922772068019,
      0.282707048534474,
      0.298111844402611,
      0.306765044822141,
      0.318954402008888,
      0.273612321741434,
      0.195060175611965,
      0.152725411319875,
      0.154012499723533,
      0.168085257997221,
      0.164863939047383,
      0.161366367185912,
      0.161516802501198,
      0.177239454038951,
      0.213256551042511,
      0.265081404957875,
      0.280516793815407,
      0.265153819678481,
      0.243886237100119,
      0.213308749598309,
      0.190704650465358,
      0.195922653613885,
      0.212978107467974,
      0.219768865079204,
      0.218168038475356,
      0.233521713878009,
      0.263566667998114,
      0.286376492100994,
      0.326047730188005,
      0.366058054246032,
      0.308127087889286,
      0.223381778467437,
      0.181507663566503,
      0.187087588378388,
      0.199621735196345,
      0.238783044654236,
      0.280221317667917,
      0.290122844686748,
      0.263815750991961,
      0.239268709219313,
      0.228684382397313,
      0.231234808932265,
      0.251433490682428,
      0.282391811720278,
      0.293251745686095,
      0.280085273017738,
      0.284042569896337,
      0.300204587469039,
      0.303542997879937,
      0.304615433863774,
      0.283159257203632,
      0.260682666799025,
      0.26108701781792,
      0.283793253154756,
      0.288014251301227,
      0.274902217657078,
      0.231775241647787,
      0.184147296044839,
      0.170448553866785,
      0.212896288925755,
      0.267453874868738,
      0.280938860246792,
      0.264691677364982,
      0.250755899399664,
      0.251062519953524,
      0.244196023200948,
      0.23228407804658,
      0.235880758565834,
      0.269489829474545,
      0.290452934105006,
      0.294635607237331,
      0.301643154864523,
      0.324672100400627,
      0.333999381066846,
      0.322340715873356,
      0.295766182893654,
      0.270882070675059,
      0.257163893140691,
      0.251384891068479,
      0.237460113830341,
      0.222092565079967,
      0.230221844152255,
      0.260856623199872,
      0.282747978973224,
      0.276395999535897,
      0.259929730776849,
      0.234117116255607,
      0.209361501352829,
      0.188521857897033,
      0.181693531204973,
      0.190124363372731,
      0.18965937422401,
      0.167766128666332,
      0.158017773273275,
      0.173438797379746,
      0.204091723747064,
      0.220124444553717,
      0.231862787524215,
      0.237432347890945,
      0.22460589302412,
      0.191522107369179,
      0.173352913568784,
      0.176434139888377,
      0.183520470600557,
      0.176523084056575,
      0.174304135431153,
      0.187721448247922,
      0.188138511319743,
      0.174752149422061,
      0.163414922948147,
      0.150489430221696,
      0.122783232741946,
      0.110825653924424,
      0.120297717098001,
      0.154385299697816,
      0.180964423384647,
      0.181142045801987,
      0.16631887544554,
      0.151458923820505,
      0.142394594106049,
      0.0544953713340847,
      0.137368864723024,
      0.227058145788143,
      0.267206307555396,
      0.256283384534348,
      0.246435169624293,
      0.243070808233114,
      0.25043746654427,
      0.273229818749041,
      0.33046041800884,
      0.376924140015534,
      0.350451731935102,
      0.287656740695959,
      0.252682105915936,
      0.259518587100372,
      0.299741547486848,
      0.328873845949549,
      0.300042031614241,
      0.224543342213994,
      0.157801051660622,
      0.12464863723026,
      0.123258842743767,
      0.125933824758707,
      0.127159900950412,
      0.127453946442554,
      0.129336638670957,
      0.146227179100199,
      0.183633428448976,
      0.224319802845019,
      0.228674017442416,
      0.215978593609614,
      0.198413436295398,
      0.184276186075235,
      0.175737897472135,
      0.187518862378429,
      0.239267200347624,
      0.295510316236296,
      0.30157315965791,
      0.274549072031026,
      0.262924048979243,
      0.280085556788805,
      0.325185808145792,
      0.324243063735366,
      0.273105299229627,
      0.247606728927778,
      0.266966289326671,
      0.293648782808366,
      0.30988160663196,
      0.297754832388852,
      0.281063304933723,
      0.309765479187089,
      0.324488416577124,
      0.307072586607703,
      0.311915845899137,
      0.320354122402535,
      0.302250244307605,
      0.283017066576317,
      0.273750026543649,
      0.23336183781527,
      0.229667469520761,
      0.273978759716051,
      0.306188664251168,
      0.271967652282872,
      0.230678590083642,
      0.24112379421349,
      0.260213135350599,
      0.260998018157987,
      0.247566233042059,
      0.236511516496633,
      0.191179530316058,
      0.153853734711368,
      0.159747740395055,
      0.214252504484732,
      0.256687125529816,
      0.264757703213799,
      0.262395089165559,
      0.273186785601938,
      0.259321659112456,
      0.217107863942711,
      0.194072783647003,
      0.234536343009441,
      0.288022282102712,
      0.300388186532027,
      0.28291235283355,
      0.270774663496622,
      0.230814674137482,
      0.163683700262262,
      0.120113194347907,
      0.114728846822976,
      0.12652996921163,
      0.124988405338835,
      0.122364618409541,
      0.123227457427,
      0.134177286331022,
      0.161465010669397,
      0.205185819095753,
      0.225517721335327,
      0.216858781920901,
      0.201578461260093,
      0.177733559461419,
      0.15763309129733,
      0.168476022357236,
      0.203596264878072,
      0.239230554252949,
      0.250357019073298,
      0.256749079183189,
      0.268603004511822,
      0.286508993110779,
      0.3175284629534,
      0.325591975875217,
      0.25208014555919,
      0.176323110963495,
      0.148809536073893,
      0.177983061033634,
      0.220759940765968,
      0.26701132547127,
      0.290511360808847,
      0.294134518200818,
      0.272861525251583,
      0.244562161998401,
      0.236395118569214,
      0.256841219395817,
      0.284438137196868,
      0.299149996975854,
      0.288545438546962,
      0.265367389243312,
      0.254729398139767,
      0.261789604034049,
      0.26818903897731,
      0.269322799184302,
      0.251003301721916,
      0.243881735780143,
      0.257553420244911,
      0.273476348364605,
      0.264226764443681,
      0.254569619273314,
      0.219805575455289,
      0.169004925244988,
      0.146407014862368,
      0.182343225989754,
      0.241285062190667,
      0.267803648924281,
      0.265910067296619,
      0.266169644268382,
      0.268424324119557,
      0.240584925187285,
      0.205127281690671,
      0.212456200577698,
      0.268415041088736,
      0.297239242524408,
      0.290368748109022,
      0.27830894996215,
      0.288580621230228,
      0.291493418771184,
      0.27529589324055,
      0.247191792221221,
      0.227623538790026,
      0.217712820096225,
      0.208928864548859,
      0.19259777101591,
      0.178141740697463,
      0.18519464300269,
      0.209036972407789,
      0.226169374573474,
      0.225474154011597,
      0.21713427411041,
      0.195326199261152,
      0.168159043573197,
      0.146505367118303,
      0.150190001234988,
      0.186075429109388,
      0.212791667093164,
      0.188834779032992,
      0.156765246087997,
      0.150262672044873,
      0.163722876253762,
      0.16950627432667,
      0.190373289710931,
      0.218522199773087,
      0.234307850810705,
      0.217531827521175,
      0.188900344212733,
      0.166664080457268,
      0.161689081541724,
      0.156987341501148,
      0.143827756201503,
      0.139587805569104,
      0.134382547241154,
      0.12848384129535,
      0.119167194274304,
      0.104021576198653,
      0.0808632827180613,
      0.0726036969777528,
      0.0807274631835912,
      0.106820151128846,
      0.127262364862181,
      0.124819504349388,
      0.113010235747832,
      0.116189903731406,
      0.135337629242332,
      0.0500077452423436,
      0.12874387688828,
      0.228305418602728,
      0.293927685462478,
      0.287310482597459,
      0.255781954005996,
      0.234457180358857,
      0.24286221177791,
      0.275033922822795,
      0.33359027061256,
      0.374307713713871,
      0.354423998800371,
      0.298889348415024,
      0.258451464173792,
      0.251112115621701,
      0.276234439217285,
      0.288952748710725,
      0.252948160836303,
      0.189221123280145,
      0.136673132259918,
      0.110877547976712,
      0.112344110969376,
      0.116555111533332,
      0.116316528995464,
      0.116595901858767,
      0.120151016532722,
      0.137855463497238,
      0.175249828686421,
      0.214419211676966,
      0.217078679600285,
      0.204467363928109,
      0.18854964447375,
      0.177610946855103,
      0.174812824045606,
      0.192371498677979,
      0.248310639949101,
      0.298757762529415,
      0.290563103183857,
      0.25320411411419,
      0.245865515954117,
      0.264936010905414,
      0.288298374057605,
      0.283223352219868,
      0.26893101087732,
      0.268632020137794,
      0.28384769083606,
      0.295581903594801,
      0.291620454317623,
      0.262173495607815,
      0.245286784749478,
      0.282806944794148,
      0.309052653531831,
      0.294174433382392,
      0.293491487704739,
      0.305939719999298,
      0.300549873519146,
      0.286703367608236,
      0.267349366000157,
      0.209943202715832,
      0.176359641969787,
      0.190035675934504,
      0.226757426912482,
      0.245254336286955,
      0.232054250818696,
      0.217467881699436,
      0.212606636296766,
      0.222627492529229,
      0.229047543455277,
      0.222689648834677,
      0.182422578302243,
      0.151411973226407,
      0.152628341166322,
      0.180009815365373,
      0.21069847516977,
      0.24337578318898,
      0.276068606359828,
      0.301508077931213,
      0.284177523755921,
      0.227227239494064,
      0.186837717706506,
      0.209608665581455,
      0.247764145650742,
      0.257355716212932,
      0.242074370800416,
      0.223499524210246,
      0.184304026208851,
      0.135242794271367,
      0.107842887872787,
      0.110614871283901,
      0.12338284042316,
      0.122415966147881,
      0.119264134008299,
      0.120905733837839,
      0.131750114927119,
      0.159044006805067,
      0.200961639729085,
      0.219648449339028,
      0.206640192971195,
      0.190937912171995,
      0.172296504255234,
      0.153715812867442,
      0.159840923061395,
      0.185087838982479,
      0.213766447477066,
      0.223854613012158,
      0.229350712441424,
      0.237907813115387,
      0.255659720297488,
      0.271047599165348,
      0.250939082296562,
      0.189463249137177,
      0.145185533994509,
      0.137856645310563,
      0.166574433565186,
      0.210188788323521,
      0.258138116839483,
      0.283810117017466,
      0.306425999742632,
      0.314547051138209,
      0.278361537959008,
      0.245647175287086,
      0.273776495619972,
      0.314153533202114,
      0.322673836517818,
      0.305359764747596,
      0.283148800534325,
      0.246705494092607,
      0.22479570447296,
      0.23139539095563,
      0.253772844630694,
      0.251155190068534,
      0.229692257350483,
      0.224195840936199,
      0.241400578011093,
      0.251343776812609,
      0.24770515849067,
      0.211651021519684,
      0.163252071217205,
      0.143021461818484,
      0.163283420653321,
      0.199220569012641,
      0.233826881268699,
      0.268312225354249,
      0.297510065291607,
      0.302391934950178,
      0.262399521730712,
      0.207083862057125,
      0.194997025629759,
      0.232564253877945,
      0.255655440630992,
      0.252621204554207,
      0.243286295178455,
      0.25202288637637,
      0.263585641767151,
      0.263144067173499,
      0.24337709452779,
      0.221886744345722,
      0.207993800496398,
      0.198483487163978,
      0.184841484719119,
      0.176238560638741,
      0.187751047429484,
      0.209985614081802,
      0.219852954610675,
      0.213945361055412,
      0.204306734394639,
      0.184391227542434,
      0.161226579428707,
      0.144736566684233,
      0.153307628721246,
      0.187977555068458,
      0.218471236533237,
      0.201446744230299,
      0.168987570082559,
      0.152248836690857,
      0.156096672129101,
      0.159040196275203,
      0.186058985703849,
      0.221033340599075,
      0.239051713890735,
      0.225017719474279,
      0.201128780738916,
      0.183234127553024,
      0.180161162775904,
      0.170604866502645,
      0.147252058421178,
      0.131413910949492,
      0.119294326216561,
      0.114033801709055,
      0.106809639362458,
      0.0927706744358782,
      0.0727790170911778,
      0.0677225152566295,
      0.077361434780052,
      0.100635557762281,
      0.116357459894136,
      0.111548200982883,
      0.0995345946294808,
      0.096181506629398,
      0.102101622496084,
      0.0481806996038672,
      0.125449867414735,
      0.236750177467973,
      0.329557981745027,
      0.328197853715398,
      0.27910996945708,
      0.247952654316869,
      0.261161906743428,
      0.295537190261164,
      0.347469985826956,
      0.38498746550468,
      0.382488847540912,
      0.332607469988674,
      0.273517414191089,
      0.242257692543432,
      0.254730735694298,
      0.261059635230065,
      0.220608349607815,
      0.166262918004068,
      0.129557567527681,
      0.115622640509813,
      0.119022564489824,
      0.119306334308332,
      0.116643744765534,
      0.11951036484624,
      0.127090007121996,
      0.14677399321917,
      0.184048551219651,
      0.220923212537315,
      0.218389793687164,
      0.201080264815054,
      0.184371561580129,
      0.181731551559118,
      0.190547419224159,
      0.202284411079694,
      0.238227711699584,
      0.277022793627977,
      0.271708629802918,
      0.235967554505475,
      0.225442836493506,
      0.232195652698796,
      0.229506344839533,
      0.222867865601402,
      0.22825943399897,
      0.235334681997163,
      0.237208802729226,
      0.236126453750732,
      0.243364336237702,
      0.257103914676273,
      0.260093076793126,
      0.286281756991636,
      0.309437411093717,
      0.290330551047513,
      0.270553507749241,
      0.282122021012335,
      0.306959264341224,
      0.329919827119118,
      0.313839836845624,
      0.233707137616027,
      0.172712050077636,
      0.163469624949571,
      0.199580937235012,
      0.245297907437317,
      0.242322552598424,
      0.202518316417739,
      0.179537742851171,
      0.202579657007728,
      0.229710919331664,
      0.227521769010717,
      0.189136284887698,
      0.161353007628476,
      0.162783993378314,
      0.175857828671119,
      0.194857783689005,
      0.229058266922299,
      0.268616569353846,
      0.292301421745981,
      0.281287780962893,
      0.237289618038502,
      0.202461959994753,
      0.200093554167807,
      0.207275487690605,
      0.212806844345684,
      0.212586907703041,
      0.201348001763865,
      0.167499476160237,
      0.132834393254158,
      0.117076101466256,
      0.126277786299349,
      0.138398379991348,
      0.13550612581988,
      0.130640697215896,
      0.131199135602851,
      0.140738381468154,
      0.168628385712677,
      0.21160741826968,
      0.231345564619174,
      0.216335830127657,
      0.199300749870318,
      0.181294355587391,
      0.164985643696781,
      0.166788705987455,
      0.183195308717406,
      0.203061479890136,
      0.208080534171182,
      0.214150182282846,
      0.230391524154945,
      0.25495592439126,
      0.262147359242903,
      0.235804313488687,
      0.188764406838448,
      0.167511478918349,
      0.17685357235254,
      0.197307315592711,
      0.218417776346105,
      0.254467983984768,
      0.282806076104674,
      0.305635899323364,
      0.313951873900547,
      0.280537163758007,
      0.240920542516083,
      0.247898287618591,
      0.270284523798858,
      0.287068573779584,
      0.302941149278034,
      0.294951973137214,
      0.247556513094869,
      0.214975495265388,
      0.225509406872458,
      0.267185974697642,
      0.279280439103042,
      0.23601459310344,
      0.199934460377066,
      0.213862105828042,
      0.248246557906551,
      0.255768141556043,
      0.219465562132567,
      0.171856057666102,
      0.15649184441777,
      0.169246966417433,
      0.187448431796019,
      0.215371033322032,
      0.255443356058853,
      0.285872125615771,
      0.288523742545899,
      0.261199680783177,
      0.222512937890357,
      0.205043383416801,
      0.204699224802583,
      0.206440486405199,
      0.21063621871808,
      0.219003338038431,
      0.234239839105398,
      0.257665659018256,
      0.273256983209885,
      0.264029399224056,
      0.23876793964536,
      0.219201492421376,
      0.207186172511681,
      0.197568840933859,
      0.191699162126952,
      0.199858724906407,
      0.216761495898978,
      0.225478586561435,
      0.217597031896373,
      0.200722095545559,
      0.17635308357914,
      0.160999744282179,
      0.154673417866895,
      0.16059361458924,
      0.181971976437192,
      0.197116430242978,
      0.187120531493257,
      0.177892964061098,
      0.183914153470681,
      0.192902540861197,
      0.190047907275735,
      0.208276797765872,
      0.234724658650503,
      0.236517968419855,
      0.211057241191444,
      0.195142168579495,
      0.198552734443234,
      0.209045970976856,
      0.190124194780314,
      0.154937548230054,
      0.134580169294631,
      0.122818374879566,
      0.116098492531231,
      0.110099352707463,
      0.0993215732223934,
      0.0802067173476986,
      0.0740151173720704,
      0.0832375281750685,
      0.106114521247522,
      0.117916720082388,
      0.112473889282075,
      0.10315288210589,
      0.0986907536191369,
      0.100971930519206,
      0.0494839786374694,
      0.131421183613657,
      0.252568557805255,
      0.346472537411489,
      0.334532497910159,
      0.282623057586021,
      0.260505567554839,
      0.279589657564853,
      0.30961461616726,
      0.360074475129502,
      0.407947198392176,
      0.41368462356456,
      0.35154676033699,
      0.273935919921698,
      0.229878095094789,
      0.247968037922755,
      0.271980174768275,
      0.23169465280632,
      0.167241712609597,
      0.132411846935139,
      0.126129398123216,
      0.127621794846926,
      0.121607941166599,
      0.119888410926615,
      0.126862883829162,
      0.137552905502328,
      0.158324272282703,
      0.192968483991595,
      0.223464164202136,
      0.216523779609901,
      0.198656601933627,
      0.181013121906438,
      0.179782583786145,
      0.195729100444549,
      0.2013604926291,
      0.214606718054514,
      0.239770809728942,
      0.244317684043326,
      0.218704368136168,
      0.202943004024378,
      0.211244078981493,
      0.235952383470295,
      0.244794495906744,
      0.227099152164909,
      0.204480928026518,
      0.190819048894839,
      0.19357664508317,
      0.224676944424224,
      0.266975252936874,
      0.273950419782509,
      0.288433305514114,
      0.301917110417369,
      0.275358981991929,
      0.2455472565042,
      0.262876078447024,
      0.310858411333481,
      0.358450082517865,
      0.362164979510051,
      0.285431264168691,
      0.208636642715937,
      0.184618458812313,
      0.211712780577205,
      0.248872204794204,
      0.240764124833305,
      0.198463916317794,
      0.177061048838092,
      0.210203820341428,
      0.256035032952199,
      0.25854568764103,
      0.210465899714745,
      0.174323375034649,
      0.177591037551486,
      0.194000950430987,
      0.206839142168628,
      0.222902677375901,
      0.239074945898847,
      0.24425028917033,
      0.242230757907706,
      0.232200419265968,
      0.231789666947986,
      0.226227301466133,
      0.203894380578382,
      0.189056844462241,
      0.197094833199992,
      0.203632425013587,
      0.175508076129811,
      0.144674950845538,
      0.137474409438634,
      0.150561652612538,
      0.155051562656623,
      0.146635841151759,
      0.141196555524503,
      0.14214771594888,
      0.15168466684089,
      0.180473658195156,
      0.220634293085854,
      0.238764697391063,
      0.226087708212128,
      0.21232792391671,
      0.192970557308064,
      0.173866981300163,
      0.172001902231989,
      0.19018125527118,
      0.207816177725885,
      0.200087637991662,
      0.197535134512103,
      0.222795878016252,
      0.265058981730705,
      0.279388113332029,
      0.252335531873716,
      0.203498010531891,
      0.186333827565462,
      0.197758301071091,
      0.209505133388797,
      0.223453901819411,
      0.265535183683611,
      0.291411557065084,
      0.284346627526337,
      0.271733113911661,
      0.255384766546012,
      0.232454705388381,
      0.227059149198556,
      0.237398241166641,
      0.25836977064378,
      0.284912310471895,
      0.289053715521095,
      0.266209703257063,
      0.242216119687699,
      0.24091778225558,
      0.265908797993354,
      0.276607626823016,
      0.236818018661261,
      0.198535794094834,
      0.209549593341867,
      0.255862907282164,
      0.276233194466273,
      0.241096550181366,
      0.186634569427054,
      0.170958797357127,
      0.188320696090247,
      0.206429206700917,
      0.221662128129152,
      0.239878205725213,
      0.24881390453002,
      0.247455983449505,
      0.243262615860962,
      0.239876058046314,
      0.237859469593402,
      0.215886578665974,
      0.193425106339285,
      0.193143155680594,
      0.211454642032932,
      0.230340172799891,
      0.256341767109519,
      0.280111739156911,
      0.28282750103434,
      0.258329493997129,
      0.236968808490086,
      0.223946861615223,
      0.219254231265503,
      0.215491214431732,
      0.216940095898756,
      0.222547533642187,
      0.223802725375215,
      0.214250394547226,
      0.197252098659875,
      0.171526056530554,
      0.157861771418036,
      0.160763526240334,
      0.166785795943982,
      0.174782391386337,
      0.175503949110567,
      0.17003835293862,
      0.177475604741851,
      0.199914182255901,
      0.215291438564537,
      0.210685031116489,
      0.218581444816441,
      0.231305990856006,
      0.216649615432277,
      0.184149459804126,
      0.179183528863734,
      0.196522328193741,
      0.2064189646789,
      0.182027464846736,
      0.153254180500648,
      0.139100512782412,
      0.131358697575609,
      0.128215572615652,
      0.124517323239215,
      0.112591520007743,
      0.0888602534754585,
      0.0770723475615195,
      0.0817697577765477,
      0.105256874627992,
      0.119400840330026,
      0.115404337624306,
      0.106934110538893,
      0.0997439064694529,
      0.0952093787197034,
      0.0472759859942507,
      0.131440028443253,
      0.262724030408725,
      0.356358573973276,
      0.332209180091759,
      0.280161548143432,
      0.26460686604443,
      0.276673518899665,
      0.2936449464228,
      0.349679886247767,
      0.416022656826049,
      0.410249553332513,
      0.327771990773361,
      0.251364721835915,
      0.218108985546563,
      0.247997340087705,
      0.278119490146581,
      0.231319477854157,
      0.161171067573397,
      0.132863198637684,
      0.135989007413221,
      0.137728327957911,
      0.126673194407283,
      0.125385871962769,
      0.134259274909314,
      0.144919213123895,
      0.164768929505305,
      0.19856539496662,
      0.228057248308159,
      0.220635639633583,
      0.202251087085152,
      0.183134156510574,
      0.178432024774371,
      0.193389133540416,
      0.198487944288807,
      0.202565225289052,
      0.226427707136225,
      0.243250416615589,
      0.228722389035035,
      0.219016618216719,
      0.23966694588096,
      0.286918653425152,
      0.300214613945082,
      0.257679247010441,
      0.205054129076529,
      0.183340215024965,
      0.194304710587457,
      0.226524076766798,
      0.251175009111079,
      0.249818672906379,
      0.273539091887049,
      0.292238354036069,
      0.257801644553714,
      0.21951703435573,
      0.231814857030695,
      0.275113730820467,
      0.316311198920898,
      0.328417240154825,
      0.279462824491279,
      0.221192799176535,
      0.198996198121028,
      0.209935715891874,
      0.23283440724795,
      0.231516053954583,
      0.209093230656851,
      0.202945045609145,
      0.242522347753727,
      0.287965532795233,
      0.276587977643127,
      0.217223054976514,
      0.185361291868012,
      0.204744327347135,
      0.231785679345934,
      0.240585923430166,
      0.245380933390453,
      0.240711437777732,
      0.221995962878239,
      0.213523749372139,
      0.227644929518231,
      0.251745665415155,
      0.248563460787507,
      0.214586987483623,
      0.189695411153274,
      0.195686846574657,
      0.203957922371095,
      0.171923834630392,
      0.139632494330219,
      0.137967869898174,
      0.155917114705654,
      0.15944253092187,
      0.148975624834567,
      0.141807922502222,
      0.142948855844554,
      0.154685238948815,
      0.187308042346351,
      0.228689468678668,
      0.246010245520395,
      0.229679629592688,
      0.216143600088481,
      0.19945895083635,
      0.183472784955487,
      0.184131393702654,
      0.199696436826097,
      0.206575228614501,
      0.187512086918118,
      0.181487079665853,
      0.21720080944444,
      0.277167599556208,
      0.289081014835611,
      0.243587931374505,
      0.199952573748667,
      0.200315367720363,
      0.207022454417531,
      0.190595045827634,
      0.192513681736986,
      0.251373472512832,
      0.292929853189701,
      0.287657256298018,
      0.269948543328925,
      0.24897767206534,
      0.220415797628573,
      0.209268656265608,
      0.222833536119694,
      0.25075101617882,
      0.27805981458633,
      0.28697732273577,
      0.279771252677851,
      0.259549460577572,
      0.248805327650321,
      0.260090639295928,
      0.266942957829171,
      0.238455863216371,
      0.215317999519922,
      0.235738103514767,
      0.282593375451311,
      0.29275717866607,
      0.242297774529531,
      0.186243119072582,
      0.181962586207478,
      0.213928623459165,
      0.236773742281803,
      0.24849464741336,
      0.250488142441488,
      0.2314948247407,
      0.210999643410872,
      0.217825621320484,
      0.24652965129593,
      0.263763900332166,
      0.235325750855595,
      0.194079240224315,
      0.183369785754904,
      0.202475403296951,
      0.223274084907665,
      0.240703780953926,
      0.261419000542134,
      0.274897991490391,
      0.258593546829912,
      0.237201622691162,
      0.225101320079665,
      0.218667640722655,
      0.212478967557854,
      0.215773457792599,
      0.226338508843522,
      0.229461776558324,
      0.217910514802498,
      0.198657570451987,
      0.171211429818227,
      0.156605120961864,
      0.160547586332035,
      0.165531028775227,
      0.17056937324592,
      0.169105447673101,
      0.163278571408366,
      0.170858913614627,
      0.193303991245609,
      0.209034642006673,
      0.209089821669286,
      0.220214594856534,
      0.223917688008874,
      0.196545712889459,
      0.165999442948944,
      0.169431444691561,
      0.188645591954227,
      0.193241463747288,
      0.167074767898202,
      0.14176646860279,
      0.133302741283507,
      0.133007475774533,
      0.135245210143537,
      0.135065303647371,
      0.132454672617834,
      0.109789304462294,
      0.0894210052993956,
      0.0848625591036234,
      0.109118459915965,
      0.129511469780957,
      0.128397476502567,
      0.117427300892844,
      0.100178454434099,
      0.07830834603034,
      0.0439597374929722,
      0.127626025640518,
      0.26738849060034,
      0.367661387025004,
      0.341828120135204,
      0.296409371595042,
      0.284984987677216,
      0.282082399577907,
      0.279229280328975,
      0.333260656524987,
      0.402592813836163,
      0.380953003660399,
      0.292531348182753,
      0.231298159660044,
      0.216355081719409,
      0.246002598615318,
      0.258430855149249,
      0.209235001022772,
      0.15449320324698,
      0.140175610534597,
      0.148357147410458,
      0.147777968325166,
      0.132573518463901,
      0.132646421338436,
      0.142390698893932,
      0.150414147397204,
      0.167981865730381,
      0.203793681588263,
      0.238014846071731,
      0.232974682736179,
      0.212549753273558,
      0.190932928036753,
      0.18169322468271,
      0.184549162294147,
      0.184177580010126,
      0.193585619685665,
      0.221766431917155,
      0.238305752274605,
      0.232655366645569,
      0.241609901806291,
      0.265125079548159,
      0.289736540127341,
      0.292116728168907,
      0.284676147670001,
      0.26505631319361,
      0.242895522489624,
      0.22555577193468,
      0.23077971126954,
      0.243715986781414,
      0.254383248719632,
      0.292847503492526,
      0.309247208205628,
      0.263054093690257,
      0.223761672694069,
      0.22782081075643,
      0.247480058770416,
      0.263402960589349,
      0.277103035124427,
      0.253294359644525,
      0.217662739738344,
      0.205979226639953,
      0.216375106534571,
      0.234256884849472,
      0.2351657034411,
      0.227533586243807,
      0.234613293658249,
      0.274580514331405,
      0.310777995548212,
      0.284534886158517,
      0.217973902219622,
      0.200682508672068,
      0.234345641186856,
      0.256254902365747,
      0.250402363617971,
      0.254160916074996,
      0.245415149236046,
      0.212572601044506,
      0.188284399443519,
      0.21342168110637,
      0.258319204782544,
      0.262262268070976,
      0.222753295289569,
      0.192017995792387,
      0.187464820882819,
      0.182697120688008,
      0.1495483177526,
      0.122181235455264,
      0.122720434663438,
      0.136621430708904,
      0.138345193673935,
      0.130572016021259,
      0.127879332877029,
      0.129516917007548,
      0.143499428371841,
      0.17899848164092,
      0.222936703100115,
      0.236322068906546,
      0.217910758821097,
      0.197826105418828,
      0.178423442830668,
      0.174483709695117,
      0.189767060421351,
      0.204589179038831,
      0.205119369484503,
      0.190923767599719,
      0.192881202654485,
      0.232502304645866,
      0.292333424408203,
      0.297805889938314,
      0.240643973591319,
      0.196191851000833,
      0.205702105869616,
      0.223734589644751,
      0.218111747200874,
      0.207388419030482,
      0.226810993208759,
      0.242736984150419,
      0.256945208823552,
      0.265918241387115,
      0.264849601229959,
      0.246467366029155,
      0.224027127255162,
      0.213964222560238,
      0.22926909200924,
      0.263994329814772,
      0.285356833984625,
      0.279641632023813,
      0.261002920403546,
      0.245456699195351,
      0.250282057176019,
      0.250053205534142,
      0.227599704124508,
      0.218977015603188,
      0.251380586550604,
      0.286589757303198,
      0.276390741702979,
      0.218836901721548,
      0.183812275005361,
      0.207189991126015,
      0.248901988428846,
      0.257091209476297,
      0.258037105394532,
      0.259858102096187,
      0.233183142236954,
      0.196154068485092,
      0.196020555308254,
      0.243499554370662,
      0.274400433341983,
      0.246821897613365,
      0.200705609751191,
      0.18495568932224,
      0.194364629560259,
      0.210742920499034,
      0.225318714476852,
      0.24628369080737,
      0.263608192781873,
      0.253054630484929,
      0.234627276547135,
      0.228224323698873,
      0.220255265163212,
      0.208136518614919,
      0.211880598259027,
      0.230386750236562,
      0.24094014586447,
      0.231587462803872,
      0.210564542586394,
      0.181073835694111,
      0.163255362276344,
      0.155505484308706,
      0.15239660671839,
      0.160825858220467,
      0.17065975969547,
      0.166915955299455,
      0.166339927371636,
      0.17548806865472,
      0.184186031547373,
      0.181216177011008,
      0.187747750927059,
      0.192534579016012,
      0.178847753831858,
      0.15671281068946,
      0.154492165164684,
      0.167134050051031,
      0.171356683640961,
      0.148478932103172,
      0.126140574577645,
      0.125197438442813,
      0.129817523937684,
      0.13497652467557,
      0.138814021894983,
      0.143138260449918,
      0.122248223716414,
      0.0999446686628681,
      0.0930054740120772,
      0.114691447788152,
      0.132276794777028,
      0.133148563376118,
      0.122815002195343,
      0.102182230865169,
      0.0764892094497583,
      0.0433492300126324,
      0.127515699874943,
      0.266561191247911,
      0.367661029191052,
      0.353135348410473,
      0.325590296455924,
      0.31896317493336,
      0.30418444814059,
      0.286288956462196,
      0.330487710837877,
      0.387034463159258,
      0.35826150579545,
      0.279862839809041,
      0.237907238684173,
      0.239268650528675,
      0.265689269773415,
      0.256747738395262,
      0.198306124370822,
      0.151190218996832,
      0.146790310595967,
      0.160371418440498,
      0.161329164607831,
      0.145958473170473,
      0.148479902617846,
      0.158862857365368,
      0.163573964313057,
      0.175478607103984,
      0.206285985331428,
      0.238003141984175,
      0.234354029505367,
      0.216675365694843,
      0.19806841947222,
      0.195162212723101,
      0.198004499000561,
      0.18658298015452,
      0.188269435199472,
      0.215159097279387,
      0.233966975919502,
      0.236892914385828,
      0.263055082637115,
      0.287717839542395,
      0.285765297717865,
      0.267732476841084,
      0.260636227774792,
      0.250166214120418,
      0.23959287350537,
      0.22648694203328,
      0.231557855422404,
      0.256442729394728,
      0.287067426453586,
      0.33137841261063,
      0.334409443899557,
      0.283605575239266,
      0.257822182902174,
      0.261533475865258,
      0.252093531532453,
      0.231117994239049,
      0.231002329217901,
      0.219839185630811,
      0.203789196949797,
      0.205469618774008,
      0.23221003019811,
      0.26548141763675,
      0.266455637916526,
      0.251200471395915,
      0.251585019391302,
      0.280701682534474,
      0.312358001740585,
      0.290944600453736,
      0.225051375666486,
      0.21478306805989,
      0.248306535955221,
      0.253425946422378,
      0.229632694126158,
      0.229596613529265,
      0.227765200949468,
      0.207799400738613,
      0.185539574837043,
      0.207657430394022,
      0.256850315401118,
      0.262825210578916,
      0.225448340516058,
      0.2022823404136,
      0.196539833345637,
      0.179142223307173,
      0.14454480336291,
      0.122906793986615,
      0.125159413686356,
      0.136017902391463,
      0.136871481612026,
      0.129882966699434,
      0.129181980882295,
      0.13003723134537,
      0.144147785228163,
      0.179632437502624,
      0.224421354422251,
      0.230009375852824,
      0.206115804793272,
      0.187112105652922,
      0.175875448979566,
      0.171488101433531,
      0.17930520603921,
      0.195760572282189,
      0.212535498835389,
      0.21956278631331,
      0.234184038925843,
      0.276443496045986,
      0.330891663885742,
      0.33086318212111,
      0.259973366334949,
      0.190128040633924,
      0.187145461285422,
      0.225293685757072,
      0.262153021405269,
      0.25304449105478,
      0.227761752489953,
      0.210840570820294,
      0.23034429404626,
      0.251269783222176,
      0.270834230724313,
      0.272908739553974,
      0.256579827254475,
      0.240154567213946,
      0.23884286654464,
      0.252598168679914,
      0.268185195472138,
      0.266487524008197,
      0.254018942102219,
      0.245168808607012,
      0.253831199291406,
      0.246434867785223,
      0.22005910801948,
      0.210825851501843,
      0.238177563659011,
      0.265755924981794,
      0.26400268715139,
      0.214527951993155,
      0.192431257336668,
      0.227006392977526,
      0.260265226585412,
      0.245824213226527,
      0.234354211970763,
      0.237297697767711,
      0.219959360055914,
      0.190975315241721,
      0.189209288998119,
      0.239742146188192,
      0.273272775161925,
      0.246821897338358,
      0.20761524093172,
      0.194123504337814,
      0.188130610213247,
      0.190226775713312,
      0.207614979027521,
      0.235320818728716,
      0.253436215414616,
      0.247990592351024,
      0.236589011900959,
      0.238971198707249,
      0.235141477465476,
      0.220253033581749,
      0.218732337700093,
      0.232115458137944,
      0.240667827787626,
      0.234024859988002,
      0.216200502431739,
      0.191367166834941,
      0.183118267791583,
      0.175499822329367,
      0.160646890995529,
      0.161823892003387,
      0.180706188905763,
      0.180472211848128,
      0.168966248259368,
      0.160783444812285,
      0.159136799104251,
      0.156732741131478,
      0.168925710746231,
      0.178527453892334,
      0.168587076166461,
      0.147684280527582,
      0.140041597565726,
      0.15207361067446,
      0.168051174047192,
      0.153004921344021,
      0.126466626786629,
      0.122689064305401,
      0.129013341709535,
      0.136516240734672,
      0.141889598675166,
      0.143470452564417,
      0.122992329448508,
      0.107641187103968,
      0.106595898992852,
      0.125383263501397,
      0.134100488615628,
      0.136159352046233,
      0.131624473997343,
      0.112475713684885,
      0.0851128429581518,
      0.0431141843164701,
      0.127866042567237,
      0.253602147850723,
      0.340598674703107,
      0.343533703553088,
      0.344873263581099,
      0.351749064829486,
      0.335812266670942,
      0.308997370314278,
      0.337443287868989,
      0.3782784416907,
      0.347523708022622,
      0.281412882011791,
      0.26340237371716,
      0.283721741789767,
      0.302268117515277,
      0.263728918281282,
      0.191096263580338,
      0.145502273257237,
      0.14372258217518,
      0.159802809263603,
      0.166781119042303,
      0.15828527970361,
      0.161044489705131,
      0.166719097353181,
      0.168484222614468,
      0.178629991625477,
      0.20634279844376,
      0.235264448894108,
      0.232360527574524,
      0.217012035456627,
      0.20071153779252,
      0.20110646898276,
      0.206793080549165,
      0.195646270415064,
      0.189221417941741,
      0.204141060698079,
      0.225042390159402,
      0.238763335175132,
      0.270181845308964,
      0.292815095238311,
      0.281202315862074,
      0.252454192279621,
      0.224760635957572,
      0.194156239422384,
      0.184203530630784,
      0.194008231723328,
      0.219519079273618,
      0.251285715499187,
      0.27591344010312,
      0.319132857657926,
      0.332920545323025,
      0.291621735579751,
      0.268901375700823,
      0.274512887239204,
      0.268123257026808,
      0.247364767591525,
      0.227703368885751,
      0.194378346289965,
      0.178843075572262,
      0.198223907406309,
      0.240816291055416,
      0.266532868397327,
      0.246916562120222,
      0.228875152374328,
      0.236760462008944,
      0.261500166519442,
      0.273216183893942,
      0.253320024356427,
      0.210721774489597,
      0.221486087627648,
      0.25726651669655,
      0.250958629310942,
      0.220403720482942,
      0.217471658801365,
      0.217439704586533,
      0.212336028457183,
      0.203261531647066,
      0.218576541410212,
      0.255727986114153,
      0.259060762733951,
      0.233616645449905,
      0.223548644109586,
      0.215981006933884,
      0.189939669509074,
      0.157342113989518,
      0.140349861119188,
      0.14580267277272,
      0.16303055929401,
      0.171610399525988,
      0.167265437362581,
      0.168583859995889,
      0.166841992871504,
      0.171304273206603,
      0.193768175783879,
      0.235552263741113,
      0.243832676120812,
      0.224390804939156,
      0.212577273749512,
      0.209990532892671,
      0.19488848813495,
      0.182002357971644,
      0.187196734514602,
      0.202845205453025,
      0.207634599827378,
      0.217989659862756,
      0.251344051088704,
      0.294434821786216,
      0.296587047307908,
      0.249292573262517,
      0.187779440865277,
      0.164139485124321,
      0.181848430780752,
      0.221767391172395,
      0.230020947297693,
      0.219346722245401,
      0.214915043399515,
      0.240366280473442,
      0.260219274661348,
      0.257922591732423,
      0.244774787822303,
      0.241237810362596,
      0.244972528846784,
      0.247472291504495,
      0.245205568040346,
      0.244782758857268,
      0.243492218208623,
      0.245463002802263,
      0.258250659757719,
      0.274719628334268,
      0.254595544080555,
      0.221038814694717,
      0.218211202946861,
      0.244930166756361,
      0.262295122193639,
      0.263045106879829,
      0.225759479116171,
      0.20805518744253,
      0.239172859577504,
      0.261788918297875,
      0.238936262613829,
      0.224732801935435,
      0.225170998939025,
      0.216191889269958,
      0.205641158835706,
      0.206565475675774,
      0.241999913754703,
      0.267030885610257,
      0.245408378854615,
      0.221425728779446,
      0.216523957593526,
      0.203791559667566,
      0.19604284931891,
      0.213177932553322,
      0.238765335768054,
      0.252513131216115,
      0.251007422632296,
      0.245726798605573,
      0.247425076204689,
      0.241085140307194,
      0.23016174019098,
      0.232429157162239,
      0.241367195753582,
      0.241778450006405,
      0.234038552187909,
      0.21838818292073,
      0.194828514525101,
      0.1930476933108,
      0.198616262275325,
      0.19198384168085,
      0.18966859634034,
      0.196938730645327,
      0.18895402757521,
      0.178891412691991,
      0.175266289371107,
      0.170172167307755,
      0.16357125385968,
      0.184207635198315,
      0.205432625411443,
      0.198230130537366,
      0.168770298651068,
      0.1530924913468,
      0.166454929146215,
      0.192926050224615,
      0.178059782165219,
      0.145887029908925,
      0.142453310463936,
      0.149282675618437,
      0.149260708652144,
      0.146463592685318,
      0.14224834997249,
      0.120562594172064,
      0.113008608721788,
      0.120461791474982,
      0.139901448864952,
      0.141299979169211,
      0.144094081198136,
      0.144917518398003,
      0.126072129242749,
      0.0943950151739389,
      0.0407926607928174,
      0.121398952675339,
      0.229306958525233,
      0.296163778398349,
      0.308708437988335,
      0.34070215107586,
      0.3749102547634,
      0.369223928476143,
      0.332686980988305,
      0.340669546282669,
      0.369023377628042,
      0.340514854909004,
      0.282957456761774,
      0.287010647639208,
      0.325808068236516,
      0.340113264477756,
      0.282622371914616,
      0.200716488754595,
      0.148114673064085,
      0.136710335481042,
      0.148033973879804,
      0.160687384891759,
      0.162325756096467,
      0.166153415164519,
      0.167241803971801,
      0.165905537921433,
      0.176246793596193,
      0.207036280308018,
      0.240955050992504,
      0.24238501216747,
      0.227773892454051,
      0.207716742862848,
      0.198622673791268,
      0.200211090948951,
      0.199174674438435,
      0.207731719331292,
      0.225267619281581,
      0.238267272743654,
      0.242557035117274,
      0.260440711734005,
      0.28136560899902,
      0.280744969319892,
      0.258231892774939,
      0.23561281931735,
      0.214113186909975,
      0.199361311113841,
      0.20438156015853,
      0.235639607247274,
      0.266552783630391,
      0.274613899350055,
      0.3149190328676,
      0.344888568243205,
      0.315841140797697,
      0.29041273963651,
      0.29441347412237,
      0.310485324917432,
      0.320378116664193,
      0.295121696433698,
      0.231061836633521,
      0.201262902967706,
      0.222231143737621,
      0.260649047610799,
      0.258299543193034,
      0.213708702073414,
      0.196638508164402,
      0.213268025452532,
      0.238887941731848,
      0.24033886470121,
      0.229979107508542,
      0.224878261687502,
      0.267057699133215,
      0.316151374602433,
      0.313219420717836,
      0.28270789385348,
      0.275749638569914,
      0.274100133574038,
      0.277485033715806,
      0.275176603869794,
      0.273800193372858,
      0.28634857222144,
      0.290418684289237,
      0.281365834797777,
      0.27792985727081,
      0.269214190253985,
      0.248692014481985,
      0.216036772699406,
      0.195856007797917,
      0.209016457611545,
      0.245738503270426,
      0.26406488049705,
      0.256047808514637,
      0.258194938458409,
      0.25150932468555,
      0.240334762368299,
      0.24461102229965,
      0.284329418484306,
      0.30163615563073,
      0.294302172896831,
      0.291486577762025,
      0.293231026502232,
      0.264091791796441,
      0.240788912926878,
      0.241977117032418,
      0.247716681135677,
      0.230642880970096,
      0.221261932079786,
      0.234178933786408,
      0.264286327920498,
      0.282760848013776,
      0.268327177345655,
      0.230963655146933,
      0.210911526672469,
      0.211734965802218,
      0.21690987935255,
      0.215543237572234,
      0.228562232384078,
      0.248639680629464,
      0.283237131805133,
      0.314087636198926,
      0.301013461527417,
      0.262451401024117,
      0.247339402448553,
      0.2496697351372,
      0.258694875329322,
      0.272854109599425,
      0.283113057061839,
      0.275428170930584,
      0.265405886228627,
      0.275547858878264,
      0.294388142710163,
      0.274686616653151,
      0.240796900029348,
      0.244656021776722,
      0.281186163730597,
      0.307661892057609,
      0.318989694968759,
      0.285921915624146,
      0.263304495147135,
      0.291849947999079,
      0.321114339585021,
      0.30292730986446,
      0.285971147553866,
      0.281632343587047,
      0.275820417527761,
      0.275509575603825,
      0.277439720453551,
      0.292253939743299,
      0.302287014765326,
      0.288544050281369,
      0.272650624278584,
      0.265555048823027,
      0.249544242609334,
      0.240912571879292,
      0.252335402496133,
      0.266872243477007,
      0.270235698096304,
      0.265268396408299,
      0.259478812393102,
      0.256948827225096,
      0.241346148367179,
      0.228151798955501,
      0.235873186391582,
      0.250350112525061,
      0.250750002503352,
      0.24377855300987,
      0.228709910609,
      0.199852722999062,
      0.187444160042384,
      0.194359428152311,
      0.211516173409432,
      0.248076629729304,
      0.273636771107137,
      0.25951146805966,
      0.245350359573923,
      0.24834949780089,
      0.244088076444439,
      0.229585542363696,
      0.255052677471806,
      0.295391921305215,
      0.307625525080429,
      0.271825603940673,
      0.237997803963492,
      0.238381371870972,
      0.264870472820641,
      0.244339976280466,
      0.203239359258748,
      0.19357212438552,
      0.185087884206131,
      0.160865941802684,
      0.143382373252813,
      0.136474703441925,
      0.1153311853248,
      0.111086297436961,
      0.123401114625558,
      0.144022705304838,
      0.142396899564803,
      0.145918936515908,
      0.151687536929704,
      0.134761512455283,
      0.101013127852244,
      0.037887923459752,
      0.110359727897537,
      0.201991420054022,
      0.253200602755017,
      0.262255549438823,
      0.299580893280772,
      0.349493340397997,
      0.3646742962774,
      0.339431768937998,
      0.34628793325412,
      0.371369878687776,
      0.331931245599964,
      0.267721947581571,
      0.280732403993967,
      0.332437053771659,
      0.35895274084761,
      0.316361391156453,
      0.233897051770815,
      0.164027881874853,
      0.135582648505274,
      0.139530995457042,
      0.152904886941307,
      0.158817576734389,
      0.163090214604378,
      0.161768695317663,
      0.158752841158845,
      0.17154572994614,
      0.20845535783961,
      0.249053483277543,
      0.255873091245474,
      0.243873077323521,
      0.221477197367573,
      0.203211912741117,
      0.204126623864988,
      0.217431251403881,
      0.245756083809963,
      0.276339857007544,
      0.286891529358314,
      0.273962932121239,
      0.263658014421889,
      0.273668959458445,
      0.294508816459875,
      0.290426809899258,
      0.285190015279791,
      0.293109888862687,
      0.288430360593733,
      0.278178086028808,
      0.297139123909002,
      0.320381987543814,
      0.31180771123744,
      0.340902287410681,
      0.371983861044637,
      0.342823065446275,
      0.310650364663296,
      0.314756447619624,
      0.356654975994725,
      0.405261075257047,
      0.385935453589148,
      0.290356417093639,
      0.251224955756385,
      0.268094637896512,
      0.280827888722791,
      0.247742572385716,
      0.203635853577614,
      0.189149890310458,
      0.203673799902302,
      0.235590405268068,
      0.245204801297555,
      0.245624724968233,
      0.259737122374898,
      0.314940566044834,
      0.373496106594013,
      0.380243802915424,
      0.358810830918604,
      0.354095565403958,
      0.348838906382625,
      0.350721441837539,
      0.362014657816011,
      0.363676495740013,
      0.360609202220162,
      0.352975719055326,
      0.334955513789196,
      0.32078433953456,
      0.317787318625047,
      0.309907259951429,
      0.263130890190485,
      0.22476194704477,
      0.235460302705485,
      0.279289764965202,
      0.301761121376717,
      0.295075043745056,
      0.292606943438065,
      0.280759670441411,
      0.272087599796428,
      0.281332463511385,
      0.315254011430189,
      0.327051054433829,
      0.323656643409804,
      0.318111016345761,
      0.308589872754354,
      0.277029565236057,
      0.278307598981863,
      0.305172521520064,
      0.30611375819017,
      0.280573237072641,
      0.281576958830605,
      0.304952610225818,
      0.333734938916607,
      0.346932964929105,
      0.31541171116404,
      0.282827168236056,
      0.290002285445033,
      0.305050037651441,
      0.294439193983246,
      0.27482051208343,
      0.281896717703768,
      0.290326439705558,
      0.315609207857262,
      0.356355378481611,
      0.365776516180081,
      0.331056023065967,
      0.300599854364721,
      0.291429384512175,
      0.310597322984625,
      0.342488151774443,
      0.349227868409542,
      0.32592335444612,
      0.297779710862556,
      0.2900871917881,
      0.303185397504229,
      0.291407064327931,
      0.258733044816311,
      0.264012651287719,
      0.312229218138381,
      0.348600565305689,
      0.350488554193882,
      0.320523610905473,
      0.30801134886966,
      0.347958280165966,
      0.388403696294071,
      0.376292421918695,
      0.359167810784842,
      0.357778777548869,
      0.352296998734411,
      0.350909497138834,
      0.360100097807168,
      0.370684555152884,
      0.365190131649587,
      0.342876798859164,
      0.321059307832519,
      0.307496826967146,
      0.293820544497757,
      0.287969609072149,
      0.292798252746347,
      0.294692730584641,
      0.288728670205132,
      0.276841538341222,
      0.266650582199888,
      0.260555631146137,
      0.237504535045744,
      0.21932047882059,
      0.229627358478343,
      0.251419770359437,
      0.258853328247226,
      0.258064463952245,
      0.245488366614859,
      0.210676063980402,
      0.187198926191887,
      0.194306500724049,
      0.22827786451743,
      0.289761617306861,
      0.340252897417204,
      0.34316104637062,
      0.334268099266221,
      0.333921262065478,
      0.332758793846723,
      0.326795376136557,
      0.358370312248338,
      0.402900349247605,
      0.407795044646151,
      0.355606317325931,
      0.314777833698802,
      0.303943458747464,
      0.301662535168531,
      0.266112952574966,
      0.231944865999938,
      0.21663133867253,
      0.189510577224127,
      0.157582156705771,
      0.140725752537475,
      0.130823792891316,
      0.108820182031269,
      0.104575376055248,
      0.119148907098061,
      0.146901763367518,
      0.151950843255208,
      0.151378755059634,
      0.151037587556411,
      0.133373139261096,
      0.101184248414494,
      0.0377417746226251,
      0.106805050751215,
      0.188064318224847,
      0.227738055499562,
      0.228404491178959,
      0.248745282607837,
      0.289092571387049,
      0.318812761001606,
      0.318712712193638,
      0.336429947661684,
      0.363413589911187,
      0.321469811901884,
      0.252483581354737,
      0.260478666754327,
      0.317195718175959,
      0.359944324327465,
      0.343837052193964,
      0.272396449378176,
      0.191239881378451,
      0.143851312565523,
      0.136296645341602,
      0.148104151141109,
      0.156030888645453,
      0.159044420636738,
      0.154780435745096,
      0.15287866711612,
      0.169297926557256,
      0.207355172004119,
      0.248651451666766,
      0.266051964938075,
      0.266139947090675,
      0.24275717754105,
      0.20913591520265,
      0.198966288688792,
      0.21773249399032,
      0.246213011604986,
      0.265153176069241,
      0.262696822712153,
      0.248983756181486,
      0.242657670189646,
      0.253029104378589,
      0.275624919176282,
      0.278755068648281,
      0.272742484822617,
      0.27769592914328,
      0.285709924408812,
      0.291415409306397,
      0.308589693780346,
      0.316939354597227,
      0.300596173208522,
      0.315190263834179,
      0.329022995867705,
      0.291758259282824,
      0.257114648310253,
      0.2659396364265,
      0.315157203714475,
      0.367904024406405,
      0.357654300220289,
      0.277552020402884,
      0.233895202123637,
      0.236993699347724,
      0.253282758385201,
      0.254500191190503,
      0.229266834081447,
      0.202927052292288,
      0.202741035379141,
      0.233102004809459,
      0.240696033690072,
      0.232498862983547,
      0.229918817558006,
      0.257490510374684,
      0.296775661790822,
      0.306587317850777,
      0.302995760832128,
      0.318857437688912,
      0.327827453332097,
      0.319717826336205,
      0.317836948562652,
      0.321305379531473,
      0.313587594150269,
      0.298240544754299,
      0.289093521731411,
      0.285587237726557,
      0.288615113577704,
      0.286700874779687,
      0.239570363547657,
      0.18788406507015,
      0.179714568429972,
      0.2076057636354,
      0.226816488651072,
      0.223173535527494,
      0.220099888739964,
      0.216011115968552,
      0.221729292905499,
      0.243771169325485,
      0.279504221185606,
      0.2968434527107,
      0.302165970350949,
      0.295425496718206,
      0.263753874490947,
      0.220868864165231,
      0.220712839953341,
      0.243276369305916,
      0.244894510298339,
      0.239428193214669,
      0.261427544097884,
      0.299047715406142,
      0.329088920110961,
      0.315345853077182,
      0.255277733457659,
      0.229100465800346,
      0.259552549387496,
      0.295604787192957,
      0.297209369703125,
      0.274409543447779,
      0.272199192813897,
      0.269263403435704,
      0.282764484253827,
      0.314940963396097,
      0.326409500451833,
      0.301948536124211,
      0.282762683657044,
      0.280657037137072,
      0.298563710435336,
      0.317172497411451,
      0.306308993998304,
      0.288782842991297,
      0.27874372398999,
      0.273060168862833,
      0.286419595140055,
      0.288056048808687,
      0.254618900185827,
      0.234913882885562,
      0.260245500494546,
      0.289849971973477,
      0.286507407303429,
      0.258445857661802,
      0.246820355351415,
      0.274376126421424,
      0.302503298216209,
      0.30515677387783,
      0.317265799709459,
      0.333025773491207,
      0.324649616876407,
      0.315354983168576,
      0.323111990936934,
      0.327022890713727,
      0.316370206319259,
      0.300629206546298,
      0.286265856788381,
      0.27815371826799,
      0.27688277719653,
      0.280079261386672,
      0.281842751165213,
      0.280424941532805,
      0.281447071567431,
      0.275155720098376,
      0.264550349358152,
      0.251301576380449,
      0.222693012358625,
      0.205327819389853,
      0.218518591683144,
      0.244041126595061,
      0.258852492590767,
      0.268890433285069,
      0.265733573234647,
      0.228158649364348,
      0.187723217953664,
      0.178322853298658,
      0.210322945806948,
      0.257716194250829,
      0.27159881810079,
      0.261508526123931,
      0.275031675913053,
      0.300710372538751,
      0.308288819965711,
      0.305320614172492,
      0.326662687405531,
      0.337930865234195,
      0.313833899010226,
      0.275484463302271,
      0.267804886783439,
      0.275650017301122,
      0.266508775769834,
      0.23067179063,
      0.208547436913832,
      0.198039882188705,
      0.174331240532428,
      0.148884161872647,
      0.13286334758334,
      0.119053179386602,
      0.0986813028324217,
      0.0958917149146828,
      0.111944891654095,
      0.151392819766779,
      0.172191761753397,
      0.163160435152025,
      0.144774229547983,
      0.124073113449679,
      0.0972919438567935,
      0.044859615023025,
      0.120383819098063,
      0.198970963848836,
      0.231979219931509,
      0.225458259695201,
      0.228630999502239,
      0.254403443680589,
      0.284472857817099,
      0.293364618178149,
      0.313138038049696,
      0.34383977817075,
      0.317215346819515,
      0.253882191226507,
      0.246105247143542,
      0.294955610712931,
      0.344141043783399,
      0.340150652630366,
      0.279722549479968,
      0.201844017472526,
      0.146506536165303,
      0.12992961427933,
      0.139244748093516,
      0.145186362498875,
      0.144118209860595,
      0.139198672251812,
      0.143825644997508,
      0.168888276677492,
      0.209550099813224,
      0.246799824329237,
      0.270470981951648,
      0.285213632037311,
      0.26050783705915,
      0.209697979662639,
      0.175430811693041,
      0.1675474372654,
      0.188042141278988,
      0.219107791064052,
      0.22687549667145,
      0.220907541899547,
      0.231947240354292,
      0.245002464051667,
      0.26055913552924,
      0.276653778068973,
      0.264076880736041,
      0.231996247710004,
      0.214247482994601,
      0.22348922235749,
      0.271469347863596,
      0.313336350344989,
      0.292125893186735,
      0.280338479456422,
      0.274762855636823,
      0.225120154329782,
      0.193817819520651,
      0.209397714212549,
      0.243450887791324,
      0.274902547831929,
      0.280451586292236,
      0.237933259870067,
      0.208872382435581,
      0.212795355335428,
      0.236201231463027,
      0.264126336099554,
      0.257298032031457,
      0.219962592301349,
      0.199854759736912,
      0.217239176910411,
      0.211476061610749,
      0.189854825604645,
      0.166970316472356,
      0.161648570226738,
      0.17342147787789,
      0.187648011815519,
      0.204187871378779,
      0.233343656849112,
      0.252152751076475,
      0.248828971304056,
      0.235180735486877,
      0.224718996847263,
      0.211306946944217,
      0.202500408529144,
      0.209336559804229,
      0.222696127242356,
      0.237135713534631,
      0.247750465599161,
      0.21197970285282,
      0.156702209968296,
      0.134330089457892,
      0.148110485520209,
      0.165525369621998,
      0.163871679687116,
      0.157213564608625,
      0.153999633021929,
      0.169740213565872,
      0.203466718934925,
      0.241737632383997,
      0.257624692663859,
      0.269206361713879,
      0.264875449220663,
      0.222355928069273,
      0.177236067266026,
      0.170409196665392,
      0.177718022012268,
      0.175528647924301,
      0.169765889594945,
      0.181331452882692,
      0.209812625021347,
      0.237027098710262,
      0.239078005914442,
      0.226079702319233,
      0.193511287337925,
      0.171135668122321,
      0.18073742110682,
      0.204853110164371,
      0.205609596988825,
      0.221488631890144,
      0.242326521989113,
      0.246542560231078,
      0.239973793308155,
      0.240211172409162,
      0.23336439981122,
      0.224274286579446,
      0.220103289996248,
      0.233888663423514,
      0.24923476900442,
      0.242339859384638,
      0.247794335416542,
      0.265055447537486,
      0.265559603853131,
      0.28374357700778,
      0.29648241479219,
      0.258800103892011,
      0.21153422535077,
      0.213258303454656,
      0.227805070944188,
      0.21513071949013,
      0.186779827541306,
      0.163527108254139,
      0.164402581192329,
      0.180803272841072,
      0.19872200040895,
      0.226099222715899,
      0.253293294935615,
      0.254309800305431,
      0.237585965987503,
      0.227816310688468,
      0.225371093185023,
      0.215141879447899,
      0.209420536233469,
      0.214265964212911,
      0.222892030099146,
      0.233733071727955,
      0.252981611187027,
      0.268336147809608,
      0.269476054952335,
      0.267008831543756,
      0.267196944018438,
      0.26108031317402,
      0.240155030378185,
      0.206620911022072,
      0.194965963353712,
      0.214053539661577,
      0.239825377383867,
      0.253340995312863,
      0.27134709484727,
      0.285450634591448,
      0.252662583328972,
      0.192663801003962,
      0.148188310949063,
      0.139206905965698,
      0.152584755192726,
      0.159676443713021,
      0.152018996337455,
      0.160357834015569,
      0.182861192450489,
      0.20314893217303,
      0.206620780982106,
      0.209756312363915,
      0.206504163515553,
      0.193867567598009,
      0.172298028051629,
      0.17186188661287,
      0.18643765559155,
      0.187158654788626,
      0.167171648777608,
      0.161992748040552,
      0.168047802817473,
      0.158667814338405,
      0.141596473416713,
      0.126692092697194,
      0.109092764008994,
      0.0886259725081109,
      0.0862211918382084,
      0.101014914826414,
      0.143070928248115,
      0.171170678695745,
      0.155423575961928,
      0.125023979637672,
      0.104452289423167,
      0.0851007920039867,
      0.0587866300228044,
      0.149146051745794,
      0.22811865135299,
      0.248367323725892,
      0.23172901809886,
      0.222147430849515,
      0.230621039826463,
      0.251591318467445,
      0.26602261946823,
      0.294145975030776,
      0.331356632558856,
      0.324380261368975,
      0.269873918044521,
      0.238915666389658,
      0.263401823997299,
      0.308630696179278,
      0.306178465160569,
      0.245958443616398,
      0.179965135549202,
      0.139084661481821,
      0.127903024283124,
      0.134118810669695,
      0.133756809326915,
      0.129395302942896,
      0.126305890387955,
      0.134268744637149,
      0.163938278583174,
      0.210080578933578,
      0.248914162819637,
      0.263966460094622,
      0.268478045098598,
      0.241682015990612,
      0.199593268984773,
      0.17150185342463,
      0.15630019444359,
      0.174343247378097,
      0.209613230769582,
      0.219928876680672,
      0.217945318086862,
      0.2459706166894,
      0.267625159331454,
      0.283869253353983,
      0.28982989911918,
      0.253651655492667,
      0.202585518413988,
      0.183227061448306,
      0.204272269962739,
      0.28216275341767,
      0.34828678132338,
      0.31310467092402,
      0.28780940141321,
      0.283586024258374,
      0.237617643059195,
      0.205963579403986,
      0.208858179732317,
      0.212097186222449,
      0.226696726449237,
      0.264790464839591,
      0.246620608803027,
      0.210549151255365,
      0.210499777195955,
      0.242749304682187,
      0.275034355251734,
      0.270540810206273,
      0.236383000486508,
      0.216431865536484,
      0.225847302397691,
      0.214646761312628,
      0.1977439831111,
      0.164177192238281,
      0.13470590743915,
      0.128209134330493,
      0.14213589648827,
      0.162194277633138,
      0.190845987167655,
      0.215897693257338,
      0.226193632646163,
      0.214826179372707,
      0.197196274495514,
      0.178610017807661,
      0.165146306944152,
      0.170530799706831,
      0.190753861534791,
      0.209774838950868,
      0.221152285462643,
      0.19016362074855,
      0.139001694619613,
      0.116846830242762,
      0.127686815067226,
      0.138429530735203,
      0.130765058365689,
      0.123465836267572,
      0.123098031794145,
      0.142509653101709,
      0.181552065536906,
      0.227157108866437,
      0.245227963502473,
      0.248728928167864,
      0.234816405672681,
      0.1910422524192,
      0.156093430876672,
      0.152578418118975,
      0.158431396105538,
      0.171220556995871,
      0.184814111868216,
      0.201819368850543,
      0.225087342030986,
      0.245776315968636,
      0.264375818006705,
      0.28120799760487,
      0.230574902139072,
      0.161130000417696,
      0.135221746516532,
      0.152258434206633,
      0.170378827505168,
      0.218817181410828,
      0.267100306255523,
      0.263881225386912,
      0.225749280745264,
      0.208039255566785,
      0.205417131202786,
      0.204273877924617,
      0.208673071341446,
      0.225880811523482,
      0.239236685887187,
      0.233981511147389,
      0.242470782317704,
      0.263288599954006,
      0.265715013957026,
      0.278267443645894,
      0.28059604491151,
      0.248663502837151,
      0.211688766249686,
      0.213876437682925,
      0.214923037054817,
      0.202611212727603,
      0.178547617850518,
      0.143768334720156,
      0.12623328325476,
      0.134331915628333,
      0.154854021077134,
      0.183197415546791,
      0.213355886023765,
      0.227404947382538,
      0.222848373016895,
      0.207970406960061,
      0.192997814358713,
      0.173512988015366,
      0.165857744519081,
      0.175070416826963,
      0.192708194383438,
      0.208905803911632,
      0.231900651042869,
      0.255303490518196,
      0.269321527101992,
      0.270978648701438,
      0.269218917760106,
      0.259741540700043,
      0.234770228369384,
      0.199756646553022,
      0.186473435457465,
      0.205620515438906,
      0.234661093304265,
      0.250181640031132,
      0.261395789738548,
      0.266464802117133,
      0.234543966890662,
      0.183535597074558,
      0.142291448002576,
      0.133174398585046,
      0.147043122673717,
      0.149231674741082,
      0.12957654507829,
      0.127692883614631,
      0.145864853225795,
      0.162056150785562,
      0.159701710449021,
      0.168520785110495,
      0.183466795926678,
      0.173343005234468,
      0.13941613783733,
      0.130331933095076,
      0.147866000924392,
      0.156541846635515,
      0.137116608832354,
      0.128336309635188,
      0.140254679328583,
      0.142191322959663,
      0.132990730023945,
      0.123098620786702,
      0.108988522926894,
      0.0887977131142767,
      0.0819029820383182,
      0.0901284069703342,
      0.120721739592625,
      0.142443741822625,
      0.131302715804004,
      0.109402993934511,
      0.0932660275116684,
      0.077433808500764,
      0.0616273626640387,
      0.157518265675658,
      0.237449382508233,
      0.250830892279851,
      0.228607042722132,
      0.214307096398658,
      0.211651592408226,
      0.225984361614142,
      0.248962246736631,
      0.295613633592782,
      0.343013233762613,
      0.336527712043461,
      0.277259078523576,
      0.227751199232548,
      0.225757557881953,
      0.261249329328915,
      0.269777579640498,
      0.223033827971503,
      0.168777960550454,
      0.137960865984542,
      0.129737013108837,
      0.133390376853553,
      0.130402182874278,
      0.125249240019431,
      0.122092272027723,
      0.128028030089408,
      0.157312355331326,
      0.208740391913589,
      0.25247301643831,
      0.25506838893548,
      0.242625716267485,
      0.216398475635891,
      0.194263997434053,
      0.18960654609562,
      0.177358588458575,
      0.186878482004882,
      0.214531379349816,
      0.224055176644778,
      0.220802297181634,
      0.250817211724555,
      0.279294440171408,
      0.295222598256728,
      0.271992007709433,
      0.213459005320979,
      0.172066461257996,
      0.180413399935827,
      0.22547990390405,
      0.301910464446502,
      0.343268692640918,
      0.300617092252373,
      0.277640100294606,
      0.268107477945381,
      0.24369025580473,
      0.24269977557132,
      0.24851752400357,
      0.223975633780966,
      0.210286023714192,
      0.253363888113039,
      0.244205187377458,
      0.194140928324961,
      0.178780856133716,
      0.210724689417672,
      0.241149618104305,
      0.234296670595182,
      0.216235115493486,
      0.218438134326211,
      0.230166306130011,
      0.216828655564118,
      0.203832858766786,
      0.168886978992757,
      0.133041869222896,
      0.122028313989318,
      0.133012093141589,
      0.1510587210122,
      0.176851346707808,
      0.204713102987906,
      0.230744323756564,
      0.232653716545483,
      0.205340544321425,
      0.172859340314913,
      0.155308460604303,
      0.156701101538491,
      0.171145202585175,
      0.189175794368889,
      0.208224332204927,
      0.186971720417474,
      0.138136910703732,
      0.114072813664027,
      0.121251156047705,
      0.127791974060951,
      0.119854670645567,
      0.11458731846836,
      0.114599551933689,
      0.131755220683949,
      0.171536203490298,
      0.22403565723141,
      0.240848304588067,
      0.227797374000777,
      0.205668371758655,
      0.171504414188202,
      0.152013650810173,
      0.155880253169017,
      0.167145220619547,
      0.194428729978699,
      0.210595826372586,
      0.219852110944058,
      0.243577912040744,
      0.274899454608904,
      0.289559687309516,
      0.28279806152382,
      0.221269717358371,
      0.161945733822306,
      0.143350525956182,
      0.153958227605296,
      0.175622133524568,
      0.225395939664836,
      0.263612961573448,
      0.260853012364254,
      0.233513859479747,
      0.208382184029319,
      0.201492809246573,
      0.214581790538134,
      0.237259053663181,
      0.253996491465626,
      0.2541592577238,
      0.238469792053599,
      0.227422308302919,
      0.227058172119932,
      0.230630755245404,
      0.247236398997383,
      0.244459547078098,
      0.217450617832616,
      0.201872475812925,
      0.218849742151467,
      0.218809888703953,
      0.210553388959565,
      0.189960685907426,
      0.148211562437986,
      0.123009209590887,
      0.127851049247374,
      0.145924206537737,
      0.169060317311098,
      0.195178942701629,
      0.217791396274592,
      0.232749914577395,
      0.222091689743466,
      0.191996454687239,
      0.162660210368171,
      0.153815698683505,
      0.160401290630021,
      0.173264118503695,
      0.183690681039262,
      0.207445415241194,
      0.244017600022699,
      0.272509441705719,
      0.273483045669015,
      0.258387497945621,
      0.240471907494306,
      0.222831073838107,
      0.19752970781688,
      0.180142494296711,
      0.193114987809427,
      0.226604574040608,
      0.249182002272309,
      0.249147273391488,
      0.237373122661364,
      0.206203683768831,
      0.173772057366715,
      0.151848150360466,
      0.157232228645349,
      0.180735510480027,
      0.176315977735649,
      0.139848146595513,
      0.123420717260203,
      0.13428622964588,
      0.145019516001136,
      0.142333080702656,
      0.166111616005398,
      0.203372544246023,
      0.193027558429376,
      0.143877986823294,
      0.130431776537672,
      0.156797887076857,
      0.172874008626918,
      0.143013541426825,
      0.122333560357726,
      0.135555007453651,
      0.143859730527899,
      0.133177238370656,
      0.118611517507775,
      0.106110857640113,
      0.0886404126762859,
      0.0796347433573314,
      0.0828711157416857,
      0.10450551986425,
      0.121399071626906,
      0.116487922212357,
      0.103014150572766,
      0.0888020696655057,
      0.0728986766220963,
      0.0487814091286438,
      0.134960910726457,
      0.218400422369751,
      0.248879352758434,
      0.234451937629633,
      0.217536893303876,
      0.208595954419519,
      0.220534956379271,
      0.249189768126076,
      0.319331535205563,
      0.383562242938707,
      0.356361029635354,
      0.276165125238134,
      0.217124971970646,
      0.195982535421956,
      0.21814429732099,
      0.237671008207457,
      0.210751626828593,
      0.16330572019264,
      0.133019573802272,
      0.124848731575952,
      0.130182086659841,
      0.128740581252572,
      0.125250616445098,
      0.122559347409787,
      0.126415132289415,
      0.152918338441416,
      0.202012883539181,
      0.240059830406807,
      0.233346644213794,
      0.217033655196371,
      0.195879018542108,
      0.186535721705891,
      0.193227354278758,
      0.185879950593133,
      0.183864878015244,
      0.196925155449684,
      0.204891092081584,
      0.203283265018049,
      0.22661102911763,
      0.254074399306548,
      0.26244717279858,
      0.229986491328089,
      0.18103611887325,
      0.15365620214024,
      0.16586596061401,
      0.205912488044141,
      0.266226206232914,
      0.301029116314537,
      0.281211283047737,
      0.273695333808144,
      0.263445136016336,
      0.240133631859674,
      0.247165983227591,
      0.263527642917569,
      0.248797519613362,
      0.229133597046311,
      0.24233158630383,
      0.216999021020108,
      0.172698120469938,
      0.164136518369959,
      0.192542598642052,
      0.212465350185888,
      0.199616734041797,
      0.187366467682074,
      0.199535795114214,
      0.217324542454327,
      0.209975834318963,
      0.201881993139151,
      0.168130264800898,
      0.131686747600846,
      0.123264662638907,
      0.134706721974852,
      0.14832144259569,
      0.17036624214963,
      0.203028609122083,
      0.242619075363915,
      0.253243573556697,
      0.214201123305034,
      0.168796517284502,
      0.152852302018219,
      0.150940659684429,
      0.158320820153375,
      0.178069603275467,
      0.198384547030162,
      0.17423066940321,
      0.13010863024766,
      0.111369823900352,
      0.12176228851607,
      0.131856472798281,
      0.126309314371025,
      0.121073919056695,
      0.119633520719247,
      0.13348371727922,
      0.17069652750475,
      0.218255551718625,
      0.225676613483744,
      0.20785719107383,
      0.191340505893854,
      0.169704767804366,
      0.145375569461024,
      0.133786085081951,
      0.139845958497475,
      0.165018585629364,
      0.175151748445297,
      0.182798739175112,
      0.210319732403373,
      0.244965660282269,
      0.261190385009356,
      0.252618918054771,
      0.197731031623575,
      0.15006327407754,
      0.138605752402917,
      0.147484491494614,
      0.164694955306403,
      0.198985374492364,
      0.226613597142443,
      0.259957724149804,
      0.282942033247011,
      0.24335047046578,
      0.196216596882104,
      0.20032997215158,
      0.226030666225945,
      0.242259762698236,
      0.250989358199542,
      0.247517181764585,
      0.220854609954053,
      0.20555745900109,
      0.215510114156664,
      0.231405396360898,
      0.216608671886828,
      0.187431016921706,
      0.18282800330662,
      0.208044905103507,
      0.213852071284191,
      0.207537364551756,
      0.187162116022922,
      0.14495069559034,
      0.121241124878537,
      0.128577652633852,
      0.143628417638798,
      0.161445625664164,
      0.190225565786471,
      0.225334217966524,
      0.251242625746146,
      0.237406456664926,
      0.192564534365614,
      0.16032900512014,
      0.151038180332729,
      0.150170706568642,
      0.158121283259945,
      0.169716473583453,
      0.193793660583864,
      0.231879614276989,
      0.261489335993273,
      0.260077541261916,
      0.239436007777539,
      0.216769548356134,
      0.206362866034928,
      0.195191308779006,
      0.181343569860894,
      0.189932600200801,
      0.217472320239395,
      0.23431373678363,
      0.227794898726203,
      0.212361986043131,
      0.184656323547143,
      0.165214484329568,
      0.155615020285844,
      0.15953286547802,
      0.179755141823654,
      0.179234100718432,
      0.146790530171252,
      0.127119449878573,
      0.132442056460329,
      0.14208940832829,
      0.145955962314893,
      0.177181702456424,
      0.214482153838116,
      0.200389269484248,
      0.150849234485853,
      0.132946284365236,
      0.148277343461807,
      0.16489319561667,
      0.148749391184273,
      0.13375252178857,
      0.142728871740313,
      0.146752838387437,
      0.130920800323389,
      0.113163294407538,
      0.102348188530405,
      0.0878499771705211,
      0.0783269521049851,
      0.0799031220271394,
      0.099198120348451,
      0.113785037778286,
      0.110375653638905,
      0.0992082495907847,
      0.0845921630500944,
      0.0681424051636161,
      0.0405606261621122,
      0.118801814738905,
      0.207832992304772,
      0.265908467867229,
      0.263774265585573,
      0.234608799547054,
      0.213825394718578,
      0.22379201334159,
      0.254750086671091,
      0.340076693811317,
      0.415789046234597,
      0.378874720579247,
      0.293528867401986,
      0.229494300209232,
      0.191785922121457,
      0.20523924758984,
      0.230659435444387,
      0.206648816246117,
      0.157565195326836,
      0.131294987479933,
      0.129106692599631,
      0.132473986107047,
      0.123925601988712,
      0.120172430280742,
      0.122443318569552,
      0.127434485298419,
      0.149575670762575,
      0.191659356179757,
      0.223821543422947,
      0.219152780176104,
      0.211691398334554,
      0.19603906721674,
      0.182605298322159,
      0.176328728982541,
      0.167753180929966,
      0.174696420527629,
      0.201000531846608,
      0.211696613235619,
      0.198333896699205,
      0.204347360458839,
      0.223757657063341,
      0.224979536117407,
      0.202004484420071,
      0.17329630785031,
      0.154183436042533,
      0.155733434215591,
      0.177328916520668,
      0.221878920497159,
      0.264421739874983,
      0.271222555745955,
      0.291627449827977,
      0.29585865978895,
      0.25947890733904,
      0.245418238358236,
      0.263466390663406,
      0.281052707136107,
      0.297612188882077,
      0.30604000159663,
      0.251430615668687,
      0.192656018285843,
      0.179882487156556,
      0.198874727810485,
      0.210315345566865,
      0.199768458759765,
      0.190876774655243,
      0.201922242336405,
      0.221476209604671,
      0.215504295137169,
      0.203050021982758,
      0.167879357272044,
      0.136120151016254,
      0.138399632541881,
      0.153858901205982,
      0.163398909014098,
      0.179618856249097,
      0.206406298852305,
      0.236983172590698,
      0.249612500579218,
      0.219345064730649,
      0.182772697928763,
      0.171231467423653,
      0.162528597830157,
      0.159772630532157,
      0.175410237927559,
      0.192906410538556,
      0.168438095454288,
      0.133219829101791,
      0.123247945833934,
      0.139589859047699,
      0.147897573488002,
      0.137651553491571,
      0.130050661893142,
      0.128293971219812,
      0.139569153096794,
      0.172667997292018,
      0.211824387731116,
      0.217124642514385,
      0.208000135310445,
      0.202808324652914,
      0.185223101682843,
      0.155980470468022,
      0.140970428668192,
      0.141805744674897,
      0.148061952546355,
      0.147042466626316,
      0.161935330134875,
      0.199133949664718,
      0.23349649842639,
      0.236731558221651,
      0.2186765187113,
      0.175119369084245,
      0.142672354703481,
      0.140321288350351,
      0.152167917277246,
      0.161182674033054,
      0.185072424939762,
      0.217073880018036,
      0.269098490758495,
      0.304740383527123,
      0.257159318017167,
      0.18658442324206,
      0.169191369579092,
      0.183190339871969,
      0.207926482216945,
      0.245755209896659,
      0.260727784803043,
      0.225805333847064,
      0.197922985646723,
      0.203435082169017,
      0.214508765908851,
      0.204334718509856,
      0.183279783781533,
      0.185968661096565,
      0.214527481689506,
      0.228263853964922,
      0.222700928197544,
      0.195345776459034,
      0.148632270061306,
      0.130438323883224,
      0.145954543105619,
      0.161166428851905,
      0.174152735125628,
      0.196499920897985,
      0.22405274722747,
      0.246613153299669,
      0.239688024243742,
      0.201375360836433,
      0.178216344613974,
      0.168691053738449,
      0.159722912332854,
      0.164029192833837,
      0.178716271211275,
      0.196727585827266,
      0.224301594973792,
      0.247955703307049,
      0.248500171613803,
      0.232631568605294,
      0.213741485027457,
      0.202302916896383,
      0.191249988738799,
      0.178608354084828,
      0.18632252297459,
      0.207050673106677,
      0.217302619289496,
      0.212942192969493,
      0.205218622923147,
      0.179308181452582,
      0.157837185741733,
      0.146706967585468,
      0.139966447664602,
      0.15026108916078,
      0.157581365216381,
      0.144423772283237,
      0.138284816425307,
      0.151923902440649,
      0.167707756443465,
      0.175089134894231,
      0.203096092943892,
      0.23163573462364,
      0.208095045637414,
      0.154491371973342,
      0.136585439022098,
      0.15110168674517,
      0.17459323844766,
      0.176906316514021,
      0.169715325249503,
      0.16246989792774,
      0.145763606402847,
      0.122999796083039,
      0.107971769959483,
      0.0986687720233953,
      0.0833267929085235,
      0.0740961296743413,
      0.0794196321552202,
      0.102674875939911,
      0.118482201807791,
      0.115741097306605,
      0.104574431230513,
      0.0864017864462439,
      0.0653226104595069,
      0.0403417917524828,
      0.117542770742336,
      0.21682687004004,
      0.306054950659078,
      0.311337517405389,
      0.259641878867016,
      0.223449988348183,
      0.23019978492754,
      0.252091619318632,
      0.322236343604497,
      0.389120880402238,
      0.372586410927033,
      0.311545329794766,
      0.246839889782773,
      0.200392393660186,
      0.216632339951537,
      0.247147614765413,
      0.215988250333309,
      0.161658574015352,
      0.137698336894541,
      0.138874156956506,
      0.139960408385582,
      0.127213894373321,
      0.123157072400151,
      0.128062475764853,
      0.129571407580149,
      0.140251557473355,
      0.173463370612321,
      0.212118677900577,
      0.220115451032734,
      0.221450271266215,
      0.211667574700282,
      0.193929905538845,
      0.177088762350367,
      0.162896297162066,
      0.176386884429457,
      0.22051081365678,
      0.239722849078119,
      0.214587888434487,
      0.195366120297615,
      0.197033511446703,
      0.201270779324211,
      0.203016213309484,
      0.19607774877346,
      0.178709818068977,
      0.16430834680138,
      0.169312578794377,
      0.195114431157199,
      0.218732796956154,
      0.228388603199613,
      0.271470081374905,
      0.296208341893221,
      0.266167995053079,
      0.247942776956658,
      0.263606448777827,
      0.28995990960655,
      0.320846729253195,
      0.339440646921776,
      0.283833387213443,
      0.217878993642347,
      0.19838909960727,
      0.210001111138098,
      0.21512582699518,
      0.204196596907562,
      0.200550762366868,
      0.217711195627431,
      0.244256514909898,
      0.241752586552342,
      0.224789076903769,
      0.181878044363363,
      0.150346501082999,
      0.166287779034547,
      0.193683358832353,
      0.201908422500296,
      0.203281413810406,
      0.203221426155017,
      0.205170954421595,
      0.216505962732742,
      0.213332292206491,
      0.20985098138003,
      0.209907569243715,
      0.192167755118386,
      0.176496749729588,
      0.183941445371054,
      0.194365063219913,
      0.16946156212748,
      0.138682463504487,
      0.132320301654936,
      0.148832018715007,
      0.152301240272386,
      0.139709287958317,
      0.133616180843043,
      0.133951369326474,
      0.14094916364711,
      0.167243505194116,
      0.205617217429717,
      0.223957135677049,
      0.220754397856886,
      0.22049716958045,
      0.202775420128375,
      0.169360792125375,
      0.152028553486853,
      0.154397876297186,
      0.161155267617625,
      0.157153911604785,
      0.167767976312794,
      0.200918536590692,
      0.233673780870397,
      0.231182431447197,
      0.201723357211667,
      0.157899753678343,
      0.140242694581255,
      0.151475315431139,
      0.169017568701449,
      0.18218779957004,
      0.211882695542934,
      0.231414261165678,
      0.24070499014584,
      0.247413960162815,
      0.226470633429102,
      0.187825507749914,
      0.174274185531265,
      0.182452715889755,
      0.206755441199373,
      0.244655007167374,
      0.261928575460429,
      0.236111031445894,
      0.211994662343422,
      0.210386339914487,
      0.216368564345213,
      0.212352029604429,
      0.197342424870383,
      0.204852463598503,
      0.239063103902828,
      0.259720978472685,
      0.251855398713887,
      0.214795434765285,
      0.161051402087409,
      0.150966891658059,
      0.182542681343369,
      0.20520178678709,
      0.210517772200512,
      0.211295131110049,
      0.207027463969876,
      0.210406356598485,
      0.218551348337095,
      0.214906523668943,
      0.216701480996004,
      0.203828309724479,
      0.18013867723999,
      0.173098595671629,
      0.183701468032126,
      0.196506147264183,
      0.220022797761414,
      0.242516556579397,
      0.248895807232326,
      0.238637886873188,
      0.224233989950473,
      0.21171100521866,
      0.194573114352104,
      0.172036709746486,
      0.170540774869235,
      0.189247521800069,
      0.207810845415043,
      0.214377971479888,
      0.216126227933065,
      0.195168909263384,
      0.16803470859955,
      0.146524995722829,
      0.130820410131483,
      0.136608447916227,
      0.145717096088504,
      0.139794263666253,
      0.14059995862421,
      0.164413670187557,
      0.191777237289084,
      0.197823927650508,
      0.206674733914783,
      0.220205721654316,
      0.198730404494207,
      0.155433482565131,
      0.142592721976023,
      0.154099724154886,
      0.173228659957575,
      0.184769318529492,
      0.188326077351862,
      0.175632078929005,
      0.145907828935356,
      0.121778949766827,
      0.112684125439709,
      0.10363921332404,
      0.0857084353919964,
      0.076270113596577,
      0.0847927677137657,
      0.111228780608025,
      0.12912009751733,
      0.126231827440286,
      0.114975694050757,
      0.0950021941791064,
      0.0691019706692786,
      0.040278520383527,
      0.118224392425716,
      0.232075432773934,
      0.337964057388883,
      0.332612034922833,
      0.267296334273085,
      0.234899571149015,
      0.241635699710139,
      0.246248232629965,
      0.285455116219731,
      0.333346297712549,
      0.334382374382381,
      0.292404485105805,
      0.234689338412927,
      0.200867236263938,
      0.226874371956852,
      0.254366998824221,
      0.220278473069964,
      0.169442629655404,
      0.144282870546579,
      0.141858119216359,
      0.142067119095297,
      0.13244607067086,
      0.13048754900773,
      0.13675442505561,
      0.135980577720312,
      0.144989845906949,
      0.182288393929723,
      0.227914894207979,
      0.233086493991096,
      0.224060877689243,
      0.20846060551499,
      0.193038531093704,
      0.184193138399332,
      0.173066151623089,
      0.184304198896403,
      0.23838659626092,
      0.271005769068614,
      0.245756266097412,
      0.212440520147024,
      0.201822637518263,
      0.20778335105566,
      0.221641609680933,
      0.217987409695144,
      0.192690837937378,
      0.16396522732201,
      0.153429764659567,
      0.166269312155991,
      0.182361985030082,
      0.190751583333954,
      0.236587258450154,
      0.281256507802494,
      0.260587904875636,
      0.224428691673484,
      0.220466346026469,
      0.244433600960944,
      0.283896859541564,
      0.318578580070017,
      0.282160955540864,
      0.22315586079094,
      0.199002042226416,
      0.204381561084828,
      0.214502883676625,
      0.207544131802549,
      0.200528350119772,
      0.212600806390521,
      0.240301442935946,
      0.252972719713609,
      0.248972044200044,
      0.199748645755685,
      0.166990904895659,
      0.193977523776779,
      0.232002223758009,
      0.243959705959703,
      0.240617965767644,
      0.214376676781604,
      0.182080471282029,
      0.181598179115996,
      0.201851087727859,
      0.230633507479256,
      0.243275676048279,
      0.21974275743641,
      0.191986821850174,
      0.182371998595745,
      0.176305936330951,
      0.150940769688762,
      0.124770751792281,
      0.11903294237329,
      0.132884577214949,
      0.138167793289455,
      0.128445308493469,
      0.124533766826993,
      0.125902261304241,
      0.131070877559886,
      0.157501730004988,
      0.206446139801477,
      0.236144001969505,
      0.225148613327049,
      0.210351916227142,
      0.186387058284664,
      0.161214616467901,
      0.15100682084758,
      0.155083534717089,
      0.170606805684204,
      0.173730174868405,
      0.177073359698805,
      0.198269508748062,
      0.230472799838259,
      0.224786620306722,
      0.182081643447852,
      0.137933535060466,
      0.133757690951105,
      0.150777955901748,
      0.161879685982351,
      0.18800573191545,
      0.243366225700463,
      0.254633365058715,
      0.227816004520315,
      0.223680261961372,
      0.211930186537908,
      0.184086900746865,
      0.17911179184243,
      0.193510949136399,
      0.21939329928831,
      0.255250934093886,
      0.282873491328994,
      0.270969200620764,
      0.238994456775462,
      0.216294447776579,
      0.218759199404591,
      0.222822132418492,
      0.201493582767189,
      0.194293978082283,
      0.225148044100719,
      0.25085109158438,
      0.251282598978741,
      0.217144773420605,
      0.165421676879945,
      0.167512017382835,
      0.215611575231101,
      0.245787402013667,
      0.250156928020806,
      0.233896910878522,
      0.195107199377768,
      0.174859468112847,
      0.191018590406722,
      0.220939878242647,
      0.246940269473868,
      0.232898775017375,
      0.197541687783724,
      0.179275170656602,
      0.179020905365868,
      0.187023575488838,
      0.214440291784742,
      0.245650231578411,
      0.262006720084571,
      0.258518580122849,
      0.243142389121137,
      0.223399861839704,
      0.200545131340214,
      0.174995393792108,
      0.173938568907758,
      0.200434158526512,
      0.225716774358622,
      0.229877275010732,
      0.223362903565907,
      0.197706402774766,
      0.168015151139464,
      0.143845990191844,
      0.127460569734684,
      0.12570092687378,
      0.128661994630378,
      0.124328927298398,
      0.127875771794252,
      0.149660423092188,
      0.17498260947505,
      0.177243367999453,
      0.180885218973208,
      0.190950010580991,
      0.176188622358389,
      0.14842477754175,
      0.141432866663351,
      0.145784257902639,
      0.147989984770344,
      0.147141366257602,
      0.151502122154403,
      0.151699241154241,
      0.136965333939629,
      0.12513283568593,
      0.122592758638585,
      0.115822309933155,
      0.0956477261869989,
      0.0843541903173076,
      0.0936304105926576,
      0.120793458280507,
      0.135533874380551,
      0.132285083780307,
      0.121741935373631,
      0.100333769763771,
      0.0721632280415963,
      0.0355179178448854,
      0.108883854820724,
      0.227735641308876,
      0.329282615597779,
      0.312215978133608,
      0.255696777323237,
      0.240851577244105,
      0.24852862332275,
      0.245296610296915,
      0.270741081013637,
      0.306976247071841,
      0.302878705173687,
      0.255490433630796,
      0.206884999957268,
      0.197431114305719,
      0.231757166930998,
      0.248145970180504,
      0.218412776349066,
      0.182296893284563,
      0.157902344182048,
      0.146601689549364,
      0.140308876808824,
      0.133204102989919,
      0.132937825622263,
      0.138917655635397,
      0.137712557824428,
      0.152730511190915,
      0.200348065198934,
      0.247738782508137,
      0.245929269256415,
      0.236606614486509,
      0.216316923219384,
      0.197849991768605,
      0.196258564598459,
      0.187008468935669,
      0.191661353051076,
      0.237031739355067,
      0.267509908900939,
      0.25690380142253,
      0.245473619521228,
      0.235333808688614,
      0.219295548827836,
      0.224922322795779,
      0.239923100135246,
      0.230792170908502,
      0.197099741474853,
      0.16773132605426,
      0.179749819205812,
      0.216578419759922,
      0.230218275793457,
      0.265044790392642,
      0.309998301053089,
      0.282830236547703,
      0.23420572130669,
      0.21870755698858,
      0.224978401036099,
      0.239351173390227,
      0.271105463599583,
      0.253911186428079,
      0.209886468749714,
      0.194785925659022,
      0.205004851059074,
      0.21239454798108,
      0.203786607621544,
      0.19843591296608,
      0.205561817370216,
      0.225926153063965,
      0.26107628549263,
      0.284451589080024,
      0.226755100227082,
      0.186263224970096,
      0.212503355883864,
      0.240519902078279,
      0.239121134423212,
      0.232547983652114,
      0.203104531498781,
      0.167102195176941,
      0.163107088861783,
      0.197168062093504,
      0.242372038870674,
      0.24936176412801,
      0.219983366207131,
      0.19992730361651,
      0.187669619616174,
      0.169132227878484,
      0.144109968021149,
      0.122913818796615,
      0.11749755855166,
      0.126279402174622,
      0.130165157908134,
      0.122666212985704,
      0.120100998202132,
      0.120127082257483,
      0.127497248841967,
      0.162765932377546,
      0.219351352998203,
      0.238503870248249,
      0.217419962892382,
      0.196743803769394,
      0.168275117302458,
      0.157015148234643,
      0.16341172562648,
      0.166492054399421,
      0.175170491836622,
      0.177838106442198,
      0.180292500855212,
      0.206813955882631,
      0.248547337054205,
      0.237412982158453,
      0.188936024542787,
      0.1572512921347,
      0.174536923671704,
      0.204002052827297,
      0.20571164143558,
      0.206542423709239,
      0.237741402208223,
      0.236471320931313,
      0.216021483505255,
      0.224576916097401,
      0.224554289255367,
      0.207695792029024,
      0.196088661021954,
      0.19702056300085,
      0.219807037968413,
      0.275236384677984,
      0.330624289465696,
      0.327039433466279,
      0.27755627722876,
      0.236928222551388,
      0.232373971393473,
      0.235584170121531,
      0.212961703655842,
      0.193338680739988,
      0.207073988068105,
      0.227666470736558,
      0.239584668367241,
      0.212218417974282,
      0.171796810261173,
      0.184700502099291,
      0.226290238892797,
      0.241028002105993,
      0.244384580081908,
      0.231293113562985,
      0.187551383181569,
      0.160655932294711,
      0.177892055280206,
      0.228787949158173,
      0.262236144924333,
      0.241656289535409,
      0.207008506545633,
      0.189468636473718,
      0.175856917923331,
      0.177658626785274,
      0.219940067069046,
      0.267987783848837,
      0.275546518241649,
      0.25796919375186,
      0.24416351502183,
      0.227725307670111,
      0.20771331547552,
      0.184043800901904,
      0.184645665761525,
      0.2160753076916,
      0.240840643444572,
      0.242648986750475,
      0.238754511252802,
      0.211306697817714,
      0.18047099287761,
      0.158022622190863,
      0.137069516734483,
      0.126016760090383,
      0.128918049755757,
      0.126773245671634,
      0.124868098237315,
      0.13734060331089,
      0.157518183016656,
      0.156400794197264,
      0.158227164755806,
      0.171314191315443,
      0.165170925490748,
      0.144270708197467,
      0.13541661281499,
      0.134363049998397,
      0.130246935661598,
      0.120148133672878,
      0.117843122172311,
      0.123494330461316,
      0.123651529396025,
      0.126831741124699,
      0.130720399009365,
      0.125834473856811,
      0.104007293876975,
      0.0858800482659364,
      0.0869683617116222,
      0.11521228669818,
      0.137461999137464,
      0.136001982138136,
      0.124410441651186,
      0.10378777731894,
      0.0751010122403234,
      0.0272819414601392,
      0.0913346012696665,
      0.201169590819011,
      0.286973860414886,
      0.275689102531162,
      0.256228484866574,
      0.266236306719385,
      0.26782147454991,
      0.255242048869286,
      0.276714634053212,
      0.306207206488987,
      0.289554284689943,
      0.232317792749395,
      0.192909037806854,
      0.202311602135297,
      0.238879020412561,
      0.243079980499635,
      0.215930349563304,
      0.190528143701179,
      0.166996498326189,
      0.148317302203336,
      0.138335864745376,
      0.139173104402147,
      0.143375085755242,
      0.14465149652401,
      0.140354292817576,
      0.161125497835091,
      0.218579304413616,
      0.26732420098358,
      0.248555706849814,
      0.227320383559325,
      0.208066606010782,
      0.19151461189498,
      0.195167314044006,
      0.193659017884833,
      0.200889217609011,
      0.225343432153583,
      0.229904127726413,
      0.228392795163651,
      0.261667812812531,
      0.279487409081685,
      0.253809239846109,
      0.232499320017827,
      0.220370191773458,
      0.204949457209536,
      0.194554803417316,
      0.193635701269055,
      0.225078107697813,
      0.269383846386297,
      0.274074384809151,
      0.295740921858253,
      0.325346940584376,
      0.289475709039946,
      0.249593373110956,
      0.236611205008379,
      0.223034126108741,
      0.206519148314785,
      0.215223197323829,
      0.200336594194228,
      0.177421614177115,
      0.192379227772435,
      0.221657117097554,
      0.217864865430552,
      0.195720346100769,
      0.198321538941625,
      0.210289169115964,
      0.222133339714195,
      0.249272422780339,
      0.271698243250334,
      0.222038186423399,
      0.198952265736105,
      0.223762891170439,
      0.2296695735173,
      0.211179994695969,
      0.204331428062077,
      0.186950579421869,
      0.170326647171412,
      0.167215844850798,
      0.198634205987902,
      0.252584193757383,
      0.253766792153368,
      0.213076376687534,
      0.198376194492889,
      0.190463120607779,
      0.167085627227113,
      0.147059193787838,
      0.133795128032807,
      0.126313592872057,
      0.12555065428619,
      0.127025380577179,
      0.125715757153694,
      0.126971358851814,
      0.128574618371024,
      0.138277311420871,
      0.175155301068452,
      0.229432079116702,
      0.237340819353753,
      0.209684205285143,
      0.194718558373641,
      0.175007814218075,
      0.172028134522077,
      0.189323859018951,
      0.195166556108057,
      0.188028174947946,
      0.176536351614539,
      0.188023725305833,
      0.250269507566406,
      0.31488953007706,
      0.292863224488421,
      0.232664859774732,
      0.19479576808117,
      0.210075443006713,
      0.252497210043242,
      0.262582379135544,
      0.227713862871692,
      0.210442667022516,
      0.202328709840888,
      0.204741153529272,
      0.218852037100056,
      0.238129409915251,
      0.247974326250444,
      0.232571102717159,
      0.207113761677313,
      0.202344143091128,
      0.233507590153609,
      0.264988304797267,
      0.268468622662512,
      0.258426593826217,
      0.253285051349863,
      0.247255962971504,
      0.228549959802197,
      0.206638476868987,
      0.201011228690267,
      0.212219022892238,
      0.22191242786095,
      0.239700781915035,
      0.218529448196758,
      0.185374568419893,
      0.204211523592165,
      0.234067104668794,
      0.225146189983922,
      0.214466879610458,
      0.204879901666104,
      0.180072963917237,
      0.167260949302744,
      0.180115617224054,
      0.236209640647262,
      0.269597089625205,
      0.235230317661046,
      0.199437708375355,
      0.192541767482107,
      0.181266979408788,
      0.183960712947983,
      0.236594547790591,
      0.296193889945953,
      0.292014356208984,
      0.248821780731614,
      0.230634932498046,
      0.224517538462654,
      0.20763412100605,
      0.183856029445454,
      0.189823671164659,
      0.231300128958405,
      0.258014503470631,
      0.246338737507742,
      0.233233762423218,
      0.208133052376916,
      0.181791746803064,
      0.165313513924795,
      0.146694797736831,
      0.136418168156206,
      0.144941658006372,
      0.146699901440365,
      0.140427587576501,
      0.140884621710469,
      0.145888030645138,
      0.138528496404695,
      0.143283614787774,
      0.161068748005031,
      0.158437908858228,
      0.141606121172637,
      0.135370696948057,
      0.134285502527967,
      0.125082803624309,
      0.108734567399045,
      0.105008581791495,
      0.116447843531661,
      0.122258919546407,
      0.125351724110719,
      0.130690084585048,
      0.131349218454837,
      0.112167691694672,
      0.0935123072697892,
      0.0948892024859314,
      0.128324760365965,
      0.151083424110618,
      0.13745415166956,
      0.119898296329973,
      0.105888663152874,
      0.0817915613598467,
      0.0245512759060633,
      0.0849805406406474,
      0.180467302333841,
      0.246049100735744,
      0.250842062654523,
      0.279954591132862,
      0.317601921014036,
      0.310783147387262,
      0.27888720602701,
      0.289706631816036,
      0.311848983996986,
      0.288095076165035,
      0.229305530644311,
      0.203295104940332,
      0.225160119336126,
      0.257518677767501,
      0.247563256882495,
      0.208389327296444,
      0.17280769908363,
      0.150252619357997,
      0.141542797573972,
      0.138582631268116,
      0.137095791341445,
      0.138852746100849,
      0.140068020528731,
      0.138401274909426,
      0.155232313637622,
      0.207539886308482,
      0.263282295181314,
      0.252266187956644,
      0.224121084458049,
      0.20409307206704,
      0.189280529780257,
      0.184474166243949,
      0.185835439141811,
      0.195481700037993,
      0.204907882455278,
      0.196948866368477,
      0.208628798121571,
      0.274627376494626,
      0.320771897198609,
      0.293277884859353,
      0.240634844478261,
      0.194493907785483,
      0.159982616126814,
      0.162241916343608,
      0.187843862640655,
      0.22674284300501,
      0.252710360904376,
      0.245979591265809,
      0.269080782318787,
      0.303384129747555,
      0.278575919644508,
      0.249201742072015,
      0.239260177648797,
      0.222582240649365,
      0.199475495331164,
      0.186155770249957,
      0.158012984199986,
      0.144310651067456,
      0.171079628000624,
      0.204396576967046,
      0.199298151374023,
      0.177997531782571,
      0.181878593122603,
      0.195690618782555,
      0.209485785932251,
      0.219708345252958,
      0.222903768740714,
      0.193901052879993,
      0.205432255011509,
      0.240636283452801,
      0.241256757120658,
      0.218569711189249,
      0.21339377836621,
      0.201794328830447,
      0.19473216397088,
      0.188219693131876,
      0.196567395255007,
      0.228242034935198,
      0.235443032494064,
      0.213414586213326,
      0.204276148299774,
      0.195021355525766,
      0.177074732053315,
      0.156238271278412,
      0.137974803810928,
      0.13366184801637,
      0.145378345019824,
      0.154354691103814,
      0.152425720731507,
      0.152229652300986,
      0.149489787886495,
      0.152182341323496,
      0.182029744848319,
      0.239445970418402,
      0.253055352567106,
      0.227255202406481,
      0.211966618044081,
      0.198814538022202,
      0.178699436050824,
      0.173902046193423,
      0.176416995037223,
      0.173146386083467,
      0.158657999077934,
      0.169500285718374,
      0.235255538791063,
      0.303549616385185,
      0.292941640267205,
      0.239574423412625,
      0.190348060266267,
      0.164699991360795,
      0.177691803019023,
      0.199707214366593,
      0.193501906573724,
      0.190499461835731,
      0.200417547570898,
      0.214169154224806,
      0.222567166802192,
      0.226156096854407,
      0.221030451298675,
      0.207567296221919,
      0.192058404781166,
      0.191733573854747,
      0.210798676623743,
      0.222235225292321,
      0.220769905752345,
      0.223171466488498,
      0.229429367867866,
      0.227730419014932,
      0.211814379161787,
      0.198157465571191,
      0.204369500781942,
      0.223705149375079,
      0.227662007946658,
      0.233379166735575,
      0.212092035931565,
      0.191947869178198,
      0.21835017265525,
      0.24514385703584,
      0.232207811157089,
      0.220296721532616,
      0.213286180007063,
      0.199291504311413,
      0.193188456107974,
      0.192241339203361,
      0.221731226305332,
      0.246807215651003,
      0.22666638300956,
      0.203594771438605,
      0.201176312628937,
      0.194388512737542,
      0.198562074763007,
      0.239891340478199,
      0.291953561543032,
      0.292610124981839,
      0.245643253251945,
      0.218288815610197,
      0.216807674866387,
      0.201437622188686,
      0.176070704554396,
      0.177905649955855,
      0.217659007625874,
      0.254751358772493,
      0.251396981206606,
      0.230298045965652,
      0.201275193924688,
      0.178186026270767,
      0.166495241605771,
      0.158510781523448,
      0.161690532238788,
      0.168453885049761,
      0.162194122720222,
      0.16288367178185,
      0.166475695651935,
      0.152299757930892,
      0.134568083364487,
      0.151112687028222,
      0.178550209398238,
      0.181058201027394,
      0.160471470607234,
      0.150931836865743,
      0.153227625957767,
      0.148158602048712,
      0.124387248741088,
      0.114384215436559,
      0.128636199930065,
      0.133039202588042,
      0.121525727309517,
      0.12009258388785,
      0.1216388800017,
      0.102094706967609,
      0.0895317141511785,
      0.0989115367289796,
      0.135713476583243,
      0.154273919472902,
      0.13343216506517,
      0.111502373241975,
      0.0998203946829225,
      0.0807115683820762,
      0.040358115560883,
      0.121973705356763,
      0.209248768909613,
      0.237401081826207,
      0.234432349818603,
      0.2831949020586,
      0.339483363299527,
      0.340769323310621,
      0.299728590052798,
      0.29720984803149,
      0.313027405904589,
      0.287380849160791,
      0.233420518939694,
      0.225850570568662,
      0.257810569937709,
      0.279371576029371,
      0.249503122209967,
      0.19475567374836,
      0.149280114037549,
      0.132338968611799,
      0.140064522097347,
      0.144721255574879,
      0.137642484564585,
      0.137887646611044,
      0.13990896327642,
      0.136394360304492,
      0.14826274343239,
      0.188775505019068,
      0.234682028177972,
      0.235983161476409,
      0.219908682107258,
      0.207361091664925,
      0.202106780731374,
      0.19343434784986,
      0.195721553357674,
      0.208100772413945,
      0.214875851968912,
      0.201330994333677,
      0.208624002290002,
      0.263354446966173,
      0.318684342247149,
      0.332386707777486,
      0.295395445290575,
      0.229825403989749,
      0.181188114346,
      0.179600871732718,
      0.203578216457993,
      0.247456264685182,
      0.271278203805117,
      0.255091713967312,
      0.273562855693015,
      0.305593901982223,
      0.283954627414514,
      0.259156175922054,
      0.253552132578611,
      0.252216681729901,
      0.249018250470506,
      0.230282536993345,
      0.179687872172816,
      0.158532188077308,
      0.177098942015759,
      0.202039891925699,
      0.204385593341997,
      0.191686364388772,
      0.181179058822777,
      0.186307203948445,
      0.210072716124758,
      0.21958699665299,
      0.214403648482209,
      0.198631493633806,
      0.223315486300829,
      0.264766053127258,
      0.275928320660419,
      0.265309301496377,
      0.270110912203846,
      0.268062212333554,
      0.264181331406939,
      0.252467987093137,
      0.238987114475923,
      0.244175846791001,
      0.254186884713875,
      0.24979750448685,
      0.243222555653228,
      0.232008318101945,
      0.223321538555904,
      0.197755972100524,
      0.168313555265534,
      0.168402811481272,
      0.198643634439033,
      0.213492329725632,
      0.203441540040147,
      0.197328341062928,
      0.186650605321606,
      0.177496473158038,
      0.193944278310825,
      0.245098250825107,
      0.265554405304997,
      0.255910892542491,
      0.250450099735036,
      0.250755478133809,
      0.220213136789934,
      0.207330590970375,
      0.216724305692119,
      0.215391193161093,
      0.194454906519536,
      0.192823915481587,
      0.214318517972292,
      0.243558542355601,
      0.263508558318661,
      0.252183738271773,
      0.217129796855294,
      0.188989011173763,
      0.187279580253986,
      0.192325435005841,
      0.194294748511745,
      0.215541547272508,
      0.24384759189526,
      0.261516898307671,
      0.274572053972223,
      0.265204775070476,
      0.232815506697277,
      0.209343761274671,
      0.19877724701635,
      0.206710341323516,
      0.231861739913563,
      0.24584254726437,
      0.236947875968185,
      0.225707594029936,
      0.222726334639843,
      0.22494749096794,
      0.21345334098414,
      0.198120213710313,
      0.207155372736715,
      0.24276976862651,
      0.264921896827292,
      0.284964071514598,
      0.260889328368101,
      0.228986194468981,
      0.244895189031685,
      0.275305336647694,
      0.272776899486072,
      0.27303390513305,
      0.277287559408629,
      0.266932579078671,
      0.256397615964997,
      0.246631924862093,
      0.24931367344409,
      0.259914994380298,
      0.256711081237413,
      0.243230263475775,
      0.234789015280803,
      0.223505830192588,
      0.22466923560567,
      0.243800888549936,
      0.26608898261681,
      0.264307514979458,
      0.236843052606676,
      0.214997400263472,
      0.216943692460901,
      0.203748504390878,
      0.176628642722079,
      0.173112750399519,
      0.199390320336022,
      0.228116970062539,
      0.233717056113381,
      0.219353009060069,
      0.195250430832516,
      0.186301672513437,
      0.18055200600783,
      0.181412973519022,
      0.214752343698683,
      0.239269561770771,
      0.224675702867415,
      0.224925746346359,
      0.238182769540024,
      0.221479355474873,
      0.195587724898118,
      0.218653599136967,
      0.263889130358594,
      0.277872094272638,
      0.240847415327175,
      0.213589147421119,
      0.214628948801621,
      0.219309709794377,
      0.190564057596951,
      0.169888314589136,
      0.18044574232892,
      0.174078083408136,
      0.13690029857729,
      0.119427909776564,
      0.11870285533481,
      0.101908848049669,
      0.0945975927312731,
      0.106228466982758,
      0.140001293222795,
      0.156274972219869,
      0.135411509323139,
      0.112967955131991,
      0.101519535556182,
      0.0878793655836603,
      0.0651147286903681,
      0.180891183446919,
      0.268192310120541,
      0.253321741595097,
      0.219048345150673,
      0.242945466342965,
      0.287346547584414,
      0.301809360655851,
      0.277259989629184,
      0.283319930458184,
      0.309056415092844,
      0.282460855846526,
      0.22832516799783,
      0.234615775632762,
      0.2818156659884,
      0.302274347598244,
      0.250588414424356,
      0.182168430179396,
      0.14151349011084,
      0.132312201414916,
      0.145940315387029,
      0.153329226559484,
      0.14390266480952,
      0.137816183619622,
      0.136353549008189,
      0.135976398446787,
      0.156075053281259,
      0.196092534797565,
      0.232565087011861,
      0.234489156794627,
      0.224700224595397,
      0.212878331150593,
      0.215453987551833,
      0.214995726508339,
      0.226205071679958,
      0.248088565797098,
      0.271576446493966,
      0.270037278063165,
      0.252631214217694,
      0.243689095355323,
      0.266846729609127,
      0.325588294169608,
      0.338627087900233,
      0.300958177821112,
      0.27470680637677,
      0.273026252967596,
      0.274956855099252,
      0.310010022339894,
      0.333509713980007,
      0.31078707370145,
      0.32179341942348,
      0.3420537658805,
      0.306285881385379,
      0.276454444534773,
      0.27629965905388,
      0.292311909163742,
      0.317071702580404,
      0.307657205120381,
      0.23038319624177,
      0.181967067577301,
      0.181834395861958,
      0.203207919813516,
      0.22725708703565,
      0.226089923579362,
      0.200672109478697,
      0.20112012761318,
      0.241026635971222,
      0.262040745588581,
      0.256171962585987,
      0.236666867953192,
      0.255321690474625,
      0.294223023219983,
      0.305405108062016,
      0.29838584851759,
      0.312122784008067,
      0.31780362160031,
      0.315196861583153,
      0.316192738895191,
      0.309303652970171,
      0.306746250458823,
      0.309460590528702,
      0.300844899277851,
      0.284474397010151,
      0.263773574187178,
      0.244616970320159,
      0.207818557273977,
      0.175606938469141,
      0.179806537708128,
      0.212373685685567,
      0.222969851778342,
      0.210141870419938,
      0.197470200530204,
      0.183133865318697,
      0.181652494519391,
      0.210299993282042,
      0.257338097281248,
      0.276160860147934,
      0.274526846074469,
      0.278794658242306,
      0.288687131095618,
      0.256663370687902,
      0.250338285223539,
      0.287153175177697,
      0.29413781612797,
      0.268497746881887,
      0.267695245486951,
      0.277120571194823,
      0.28315043010814,
      0.302122740023388,
      0.281881112579474,
      0.244848207079613,
      0.237426275669863,
      0.253720913977887,
      0.260988845130787,
      0.262713279052022,
      0.286902195599002,
      0.3072337029391,
      0.313893852605125,
      0.326519358724513,
      0.327026088400528,
      0.294277235287868,
      0.263279582708473,
      0.245148108999206,
      0.253523966155297,
      0.27307164890702,
      0.269692857988466,
      0.251104121736115,
      0.235817577853938,
      0.224936096147883,
      0.235580460878283,
      0.239228263105432,
      0.214868057626416,
      0.211032524850485,
      0.254606155270205,
      0.294959095273966,
      0.315427829103049,
      0.289579404449695,
      0.258955996468535,
      0.278372872874358,
      0.314039269016388,
      0.311109319984184,
      0.309770386613934,
      0.325151130709525,
      0.322530881941902,
      0.314404489099894,
      0.311732198873981,
      0.31184372398359,
      0.309536900248542,
      0.300184423748687,
      0.285494038224797,
      0.274404120654507,
      0.256078773991453,
      0.247508674825917,
      0.255541662951189,
      0.263016651351813,
      0.264080780274918,
      0.251306197214062,
      0.228143446421071,
      0.219834429493918,
      0.203162403759208,
      0.178641547622384,
      0.18451062347272,
      0.210365003072481,
      0.227865813460237,
      0.230620997360359,
      0.219379453259748,
      0.194749315106116,
      0.198375288323734,
      0.207112907910529,
      0.216592610448896,
      0.263354196918196,
      0.30141259072014,
      0.292540150882342,
      0.29998636788219,
      0.326892878487499,
      0.324624774691824,
      0.302669130178611,
      0.32141168264138,
      0.365257671643507,
      0.359221598223541,
      0.295825904064786,
      0.273997345567132,
      0.300770570093466,
      0.306445889976909,
      0.252093651755845,
      0.209519117401183,
      0.20064917050108,
      0.182459605891252,
      0.146079286917032,
      0.13083296496495,
      0.132887259337247,
      0.118302905725343,
      0.107490638335674,
      0.112160255034494,
      0.137481627736123,
      0.151359663953079,
      0.13732953830716,
      0.12092007658484,
      0.112183915066503,
      0.110269633079907,
      0.0663637219692457,
      0.184869978007211,
      0.272826037411046,
      0.255574709435912,
      0.209623191627246,
      0.202491150574501,
      0.218582040828557,
      0.233034191939921,
      0.233702394008738,
      0.267043462241825,
      0.309030946512197,
      0.281392618893249,
      0.22242459855381,
      0.22681479736385,
      0.284797217413395,
      0.318773069341817,
      0.259681877062739,
      0.178664315108094,
      0.140093661305006,
      0.131506789295872,
      0.139756576748046,
      0.146447467429327,
      0.142241190467285,
      0.136292382668973,
      0.132831686099179,
      0.136716208757664,
      0.160794296784109,
      0.199431065389357,
      0.233138066045175,
      0.234194345883783,
      0.222279452072122,
      0.203438628845058,
      0.198398562866714,
      0.205178557959124,
      0.221414812771494,
      0.251450606163387,
      0.291995109362289,
      0.298226060587157,
      0.261818720299777,
      0.220993133918393,
      0.210682571832201,
      0.24713732220524,
      0.277409191251051,
      0.271454018583175,
      0.262305658873762,
      0.264161098619122,
      0.267010432595873,
      0.289566946144083,
      0.305956716380633,
      0.293961314914727,
      0.312908266681291,
      0.320280759062318,
      0.266498109259614,
      0.233086372740103,
      0.244838323115049,
      0.268475530737113,
      0.288332144789568,
      0.27902259158114,
      0.216017388250931,
      0.170055419069029,
      0.166570506527615,
      0.186642064725551,
      0.213695206589692,
      0.214042748068544,
      0.197606633432323,
      0.207327829015226,
      0.245425890112317,
      0.255224018858697,
      0.245543687425966,
      0.219021841975341,
      0.220671947815887,
      0.246970170751317,
      0.257464330906671,
      0.25036548511724,
      0.257351416518287,
      0.261414789432585,
      0.265545543936763,
      0.279810815913426,
      0.281955860344566,
      0.273880643216539,
      0.267564206469287,
      0.264722059394582,
      0.26113977912195,
      0.245714443289296,
      0.227179548946393,
      0.196196471849435,
      0.167495506237375,
      0.167324878178093,
      0.193728746282714,
      0.201280394869043,
      0.189002729426324,
      0.17568915241291,
      0.166006216492039,
      0.174652743598181,
      0.212935012743706,
      0.258382613408102,
      0.269206154653987,
      0.260080176010162,
      0.258789108935113,
      0.256903023092627,
      0.226888755578867,
      0.219549034188464,
      0.242746485944716,
      0.246305641776905,
      0.227991806287869,
      0.23300979774846,
      0.25403394118486,
      0.270961345819297,
      0.26631803233093,
      0.227931043163052,
      0.197786833075277,
      0.212332415155735,
      0.24538462393796,
      0.258609721925046,
      0.254157233795791,
      0.272795416345609,
      0.281072216404022,
      0.282515313464346,
      0.294534394074831,
      0.27965544632075,
      0.236611421852337,
      0.216052364988485,
      0.218356159242998,
      0.243732384867791,
      0.264905903028611,
      0.251376070238025,
      0.23406794173599,
      0.229801337959764,
      0.225991234629236,
      0.242076521763598,
      0.25224780770865,
      0.222541758798174,
      0.205381381253072,
      0.241102850887625,
      0.278820371644885,
      0.281160058431338,
      0.24896283594869,
      0.218318990556112,
      0.227758217089744,
      0.252335543651935,
      0.254928969590369,
      0.261041389973937,
      0.270650903849989,
      0.262598210398612,
      0.267937886599594,
      0.284610276642735,
      0.286979658094563,
      0.280223131039904,
      0.272051572964199,
      0.261659475066704,
      0.248447561665996,
      0.227431539261175,
      0.221332695442406,
      0.238531663935648,
      0.250833006348726,
      0.252963042116323,
      0.240384715749095,
      0.220335912015502,
      0.208685432239501,
      0.190746516077663,
      0.175518562933131,
      0.190229040819255,
      0.217350503982836,
      0.23031342994765,
      0.228399612932389,
      0.213082752825099,
      0.182246991727996,
      0.173600733751276,
      0.181529703445692,
      0.195152765511436,
      0.216058337431756,
      0.221749325081733,
      0.216784656230848,
      0.24551178212152,
      0.287612250700967,
      0.29786247613868,
      0.285821775256461,
      0.296684323542845,
      0.301911644077151,
      0.266902694471594,
      0.223500884789901,
      0.234806456782847,
      0.282282564264188,
      0.287186997283015,
      0.217998023729961,
      0.164205418569758,
      0.154501576810283,
      0.151655476618178,
      0.137921393142055,
      0.129088294532825,
      0.125068057502874,
      0.111163985166542,
      0.105015311084942,
      0.108446924818023,
      0.126375223407218,
      0.139057720445709,
      0.131172268246495,
      0.116862300094361,
      0.111449435134603,
      0.126645477959071,
      0.0420217482812555,
      0.127965053740183,
      0.213801285730666,
      0.237607269053587,
      0.210109106333392,
      0.188472728399493,
      0.188948126500889,
      0.203537646867186,
      0.219113316030978,
      0.261239642091959,
      0.300397486986358,
      0.276739654892352,
      0.220848476653204,
      0.206945474105405,
      0.24590250109008,
      0.285473719831277,
      0.256965905449673,
      0.202596973188614,
      0.15978897196244,
      0.133605863733245,
      0.128580127648591,
      0.133048686449999,
      0.129448752254159,
      0.129477576876633,
      0.137242699323325,
      0.149185218314113,
      0.167576147865819,
      0.196850387133667,
      0.226312977156303,
      0.223130113429547,
      0.206576711376589,
      0.183719047994671,
      0.167107716420835,
      0.171168726074099,
      0.172109519129358,
      0.183731898168076,
      0.222331722845463,
      0.251937557028527,
      0.242202795419054,
      0.217284104338919,
      0.194833564401884,
      0.199608866326486,
      0.219077900083587,
      0.211219062042559,
      0.190131054596779,
      0.179452233816831,
      0.182723823936381,
      0.21580563790557,
      0.253059770758009,
      0.249123702367378,
      0.266096189141471,
      0.270906258008119,
      0.212677531478112,
      0.179748263430186,
      0.196766030221554,
      0.214412809169812,
      0.221033189044468,
      0.230511583902199,
      0.210663947512942,
      0.186421441850786,
      0.185305910979039,
      0.194927851566411,
      0.204325688899886,
      0.199397146946534,
      0.189221574035696,
      0.206018216765777,
      0.234785043776755,
      0.216213188292131,
      0.194906702203379,
      0.1683733824643,
      0.151679557274557,
      0.158654664170333,
      0.174428013823645,
      0.186676225239779,
      0.192813166597232,
      0.184305507735799,
      0.186407825521183,
      0.206971368845924,
      0.208972099475871,
      0.195494069286599,
      0.188016745183498,
      0.196390893031094,
      0.208857592929236,
      0.210129152778745,
      0.209932075005158,
      0.188734832975346,
      0.149934097545517,
      0.135953961801781,
      0.149658213524436,
      0.153545824121736,
      0.145826430541037,
      0.14301352646901,
      0.14524031202814,
      0.15996069710631,
      0.190713572860939,
      0.228249428801332,
      0.237920796081145,
      0.224778092797281,
      0.211517454663521,
      0.18821350872328,
      0.16297798121119,
      0.158671004955325,
      0.16502481888991,
      0.175237902970456,
      0.170927486198031,
      0.168728652547922,
      0.187847344726614,
      0.219249156213258,
      0.216171829656481,
      0.196970939244937,
      0.164152693163541,
      0.145829939452291,
      0.148673906686432,
      0.159191691697987,
      0.165485649600217,
      0.195484063400112,
      0.216997909629341,
      0.221241992397629,
      0.220344460648717,
      0.200985631271344,
      0.171326576382757,
      0.157113684084934,
      0.158452492039487,
      0.187716398847091,
      0.225085813217591,
      0.236176333003905,
      0.23194324019921,
      0.225717618848023,
      0.214349564279969,
      0.227998012850566,
      0.23908651542927,
      0.210175139136923,
      0.188348252800157,
      0.213497289689496,
      0.228652091464955,
      0.211476784390298,
      0.188077718346565,
      0.158610930013372,
      0.151043930338409,
      0.166430658947252,
      0.184184377258058,
      0.196437945149826,
      0.194918869433146,
      0.183902351925154,
      0.196300751172717,
      0.213360667064851,
      0.210127805161177,
      0.197932166571592,
      0.194808049631082,
      0.202069577540322,
      0.208278865707233,
      0.20694430895174,
      0.216720905586415,
      0.235235348086623,
      0.239824190226677,
      0.234705506352558,
      0.220578672806986,
      0.204658112711955,
      0.19680044509307,
      0.186581946750143,
      0.182388491877725,
      0.197178904416821,
      0.220443941583993,
      0.229121331950654,
      0.219364480833894,
      0.200766067720897,
      0.170031989611546,
      0.148609851527196,
      0.144018954514567,
      0.143334084029953,
      0.146602995807841,
      0.146466932429289,
      0.138278629718952,
      0.145215164706946,
      0.173555653362293,
      0.201525473522436,
      0.202553817493018,
      0.196622382120351,
      0.192236748140719,
      0.176454529324267,
      0.150653416710136,
      0.148354302507979,
      0.168887065409896,
      0.178419683974354,
      0.150876048970368,
      0.126631691431575,
      0.126807286088832,
      0.131438718941657,
      0.127006334071213,
      0.118249762089012,
      0.106982058022279,
      0.0942860433323733,
      0.0907681879186839,
      0.0920635737427195,
      0.105947067844427,
      0.124270982440589,
      0.124968287563019,
      0.110631150003945,
      0.0958572707913239,
      0.0913245306898056,
      0.0215709641921519,
      0.0792390962299181,
      0.161546340560701,
      0.226208864101353,
      0.225495981308724,
      0.200734017450801,
      0.193241633036274,
      0.206451574037261,
      0.221613916539156,
      0.254108940354979,
      0.281536530220968,
      0.267831533025602,
      0.225730961044149,
      0.196101840394735,
      0.2022259077134,
      0.242071108322059,
      0.280517547021001,
      0.27550652435562,
      0.206944264345464,
      0.146602745012109,
      0.130532840532162,
      0.137498812430545,
      0.134475445040843,
      0.137781452969599,
      0.156346345517707,
      0.173074257706407,
      0.181680702299955,
      0.19727185028935,
      0.223748429738845,
      0.219647365664747,
      0.204568313253612,
      0.178817577791688,
      0.154678863838669,
      0.154682724648179,
      0.157566194965663,
      0.168896776968423,
      0.200961203950276,
      0.227217533237698,
      0.226615308166947,
      0.221630709012498,
      0.216807082479025,
      0.216902446657141,
      0.211184588586031,
      0.185324255535296,
      0.167444446497332,
      0.169003688358452,
      0.18028544766556,
      0.216361215763773,
      0.250084717212099,
      0.233795479633704,
      0.249558062332055,
      0.264665992583956,
      0.217224525577136,
      0.186295148475615,
      0.191062543815742,
      0.190841385621877,
      0.193898713502654,
      0.221749997217361,
      0.214287240068934,
      0.19420410240396,
      0.201921674143769,
      0.216701467367032,
      0.212626802476124,
      0.19961053751248,
      0.195238112006577,
      0.223841434364681,
      0.250905124079264,
      0.20719850989095,
      0.169724024289332,
      0.145228302313798,
      0.127636429718429,
      0.131030796138125,
      0.149989159384468,
      0.169982795392176,
      0.180241766813062,
      0.171983516468853,
      0.174230611849145,
      0.187647091192036,
      0.180923283882359,
      0.165500695598729,
      0.159245484316724,
      0.175024286187214,
      0.201980425965088,
      0.229722214976954,
      0.250829198281492,
      0.219652473670784,
      0.15042343215046,
      0.119848052381968,
      0.12649214813318,
      0.130625766620808,
      0.12252714215017,
      0.132669389822482,
      0.14793568560341,
      0.159813352197357,
      0.175245152635037,
      0.210516312057112,
      0.219352646380847,
      0.204435345381501,
      0.186594373080118,
      0.153064390697145,
      0.134435652299318,
      0.139620118929962,
      0.1455662758507,
      0.165045072903558,
      0.179747196228953,
      0.182425599630487,
      0.191498860611077,
      0.216513947646517,
      0.231237469021938,
      0.240869856021308,
      0.195577279697031,
      0.141235870617314,
      0.118272379791725,
      0.129303950155787,
      0.152793542298212,
      0.190783321833452,
      0.213414658140408,
      0.2149166860735,
      0.202147153151711,
      0.183391106688491,
      0.172195557623198,
      0.166770648395387,
      0.174150813934718,
      0.208995131521341,
      0.244892793332786,
      0.258676383907109,
      0.250986617333819,
      0.227075727563727,
      0.203301960302261,
      0.215398566976811,
      0.223864061702167,
      0.202978186361062,
      0.196071822446158,
      0.227320518504186,
      0.220103465475024,
      0.179370521234584,
      0.156940461776835,
      0.133437849368508,
      0.126884374602721,
      0.140898264801825,
      0.163290146484033,
      0.180730079518536,
      0.181281004932183,
      0.172226507992846,
      0.184425441267141,
      0.191467487899498,
      0.179992097369473,
      0.165177786677069,
      0.166474548777644,
      0.184506528511221,
      0.214770047680739,
      0.239427733014937,
      0.257043078085682,
      0.256562421791978,
      0.244015860999819,
      0.229038250538405,
      0.215394853533284,
      0.199778057974984,
      0.193798747691603,
      0.197313628988585,
      0.197442985665864,
      0.202266862492252,
      0.219437736175601,
      0.231813390676846,
      0.2231813321517,
      0.20755853777664,
      0.173445303418309,
      0.14106429561582,
      0.127847743895415,
      0.122657623841717,
      0.128909648498187,
      0.136031732740863,
      0.123005753818987,
      0.113406299874146,
      0.138140732519207,
      0.172404086509058,
      0.167601503204024,
      0.155042763110825,
      0.161409811411778,
      0.153418688630507,
      0.126667817760671,
      0.11212958534666,
      0.121422117074197,
      0.14070150652618,
      0.134461948683233,
      0.118862625430404,
      0.123743045702501,
      0.129545908281694,
      0.125095935333481,
      0.11510195816886,
      0.104338627111136,
      0.0938559027642843,
      0.0887991239074465,
      0.0881732309443273,
      0.1026460314061,
      0.122260094750229,
      0.124812810759267,
      0.111414614441785,
      0.0935692146146173,
      0.086180553364915,
      0.014705047358141,
      0.0624012397039204,
      0.141546047093389,
      0.229773590009904,
      0.251833118606538,
      0.225867395726734,
      0.207292680498881,
      0.214058421059553,
      0.22082453213252,
      0.245354635856893,
      0.27330643781156,
      0.270977883568878,
      0.241992959557156,
      0.207319317197202,
      0.192071336907719,
      0.230328898508243,
      0.314277443561024,
      0.320347350781881,
      0.220064716975954,
      0.141768292199402,
      0.126136127684194,
      0.133099829415879,
      0.129350702742795,
      0.138560672311413,
      0.169463917609521,
      0.181629911954182,
      0.177310225783795,
      0.193061769633606,
      0.226480683719464,
      0.216466204824183,
      0.202741864087129,
      0.180376640535776,
      0.158761853751745,
      0.163137448385014,
      0.175043899803767,
      0.186932556402884,
      0.20135080550162,
      0.20276966530264,
      0.19605267123768,
      0.207416002453994,
      0.223439738629813,
      0.236160670384539,
      0.224903254375295,
      0.182439675004298,
      0.157568633854049,
      0.175417653822566,
      0.207410183302466,
      0.238024160570536,
      0.240154741417951,
      0.211014245153895,
      0.227310117818327,
      0.246501485840247,
      0.218427925522109,
      0.206894792333146,
      0.21780217677067,
      0.215178719070781,
      0.208153794226954,
      0.221966540497415,
      0.200570362846756,
      0.170995720414319,
      0.181223050683666,
      0.207068715186574,
      0.208251293176006,
      0.195176110556034,
      0.19244866447942,
      0.22069573086592,
      0.25081991606706,
      0.209147057667982,
      0.163319946684974,
      0.137234518165736,
      0.127848599943369,
      0.137760578225627,
      0.149532986531242,
      0.161710941258853,
      0.186452119670379,
      0.204253162309554,
      0.221057470913001,
      0.223556963702701,
      0.192458422046338,
      0.159857892220677,
      0.152374409814989,
      0.165926371060868,
      0.195495941657316,
      0.244916188030735,
      0.277903000989072,
      0.228168867231847,
      0.146102287377246,
      0.115631489848897,
      0.120903201777546,
      0.125170653813157,
      0.119490487650405,
      0.137368686468255,
      0.157391856548484,
      0.165522958852615,
      0.176387772337464,
      0.210798847906013,
      0.210973132808171,
      0.191586278024301,
      0.177752010620484,
      0.14858053368377,
      0.127967078685575,
      0.13313718506541,
      0.142659921730205,
      0.157989269237268,
      0.169740028654802,
      0.181611787588351,
      0.199325267785528,
      0.217429132680647,
      0.226733729258878,
      0.232594591016286,
      0.187728539409701,
      0.142122708646948,
      0.128558296548203,
      0.139101389666261,
      0.160990504505415,
      0.190591744496502,
      0.200821289231986,
      0.214294322040168,
      0.223918962345282,
      0.199304422110585,
      0.180849723276413,
      0.192495272958597,
      0.225684386510355,
      0.263664486217618,
      0.272141475295892,
      0.246639491093675,
      0.218218116582017,
      0.203656199969894,
      0.201701795532293,
      0.214132236661666,
      0.211641176354378,
      0.193405130179425,
      0.193821966348941,
      0.228754278898402,
      0.222203460189809,
      0.181272142009211,
      0.155107069555049,
      0.131598580158559,
      0.130839754588357,
      0.145582807516269,
      0.158142900920333,
      0.177605374890641,
      0.199952784350402,
      0.212064765192258,
      0.226188493169491,
      0.214799604872828,
      0.180169448686159,
      0.156827591218357,
      0.160014055547473,
      0.180507252319823,
      0.223560794031131,
      0.265457106126925,
      0.285858378379859,
      0.272296370130001,
      0.250143172357329,
      0.224721006016429,
      0.206692479955991,
      0.195012328589781,
      0.19465630096633,
      0.200281683818628,
      0.192003998646648,
      0.192218000003922,
      0.215922631587894,
      0.232886985847469,
      0.220534599324288,
      0.207219927051634,
      0.175605455338409,
      0.14448448546136,
      0.130178717190282,
      0.124824059538975,
      0.135387598196936,
      0.146754102596903,
      0.129559479392459,
      0.108494882825294,
      0.116424221912642,
      0.137460310779285,
      0.136415604757124,
      0.141341585869505,
      0.16078860687888,
      0.153489246433965,
      0.125936349539337,
      0.111640207710171,
      0.126405842285514,
      0.153857380289299,
      0.143287105306434,
      0.119632885929641,
      0.124422539225675,
      0.125523950385357,
      0.115737086106652,
      0.107667928846266,
      0.0966333468821711,
      0.0839572669309607,
      0.0837090731844508,
      0.0945895565882947,
      0.114267982873347,
      0.122004041368529,
      0.117693806388029,
      0.109943883886899,
      0.0968685167788179,
      0.09485436113157,
      0.0142879273065549,
      0.0618259480708186,
      0.138867312425632,
      0.224057062104342,
      0.248672528311108,
      0.225716848630712,
      0.207731233506519,
      0.213550334087574,
      0.21824852788348,
      0.250564333663394,
      0.293530104747933,
      0.2917798966213,
      0.263937697065041,
      0.22883183032115,
      0.202216809512027,
      0.219170257044258,
      0.272647118268462,
      0.264308455157399,
      0.183845491167586,
      0.124011295820805,
      0.112838714604428,
      0.120393418549504,
      0.119334959147672,
      0.127680642904065,
      0.152897641099077,
      0.164640703596951,
      0.170981349017325,
      0.193062556655904,
      0.213859872879816,
      0.196465757382696,
      0.185626336794289,
      0.1691449515124,
      0.160195425078389,
      0.16506628977338,
      0.170559363496188,
      0.179791410273395,
      0.19047069725418,
      0.178809467978036,
      0.168460090803496,
      0.200133827912653,
      0.23440288323213,
      0.236638153778755,
      0.214694810865268,
      0.181034854248532,
      0.161654821522253,
      0.180121338872361,
      0.202932284345016,
      0.208301925498771,
      0.193439204996163,
      0.180208848378415,
      0.206185617313756,
      0.227908218967123,
      0.208498694571715,
      0.207953768112725,
      0.235045242719895,
      0.253154368069111,
      0.248863501629972,
      0.235584278755729,
      0.185857774061775,
      0.14494557806803,
      0.154688381035486,
      0.18917467019692,
      0.206435756447648,
      0.1970436860693,
      0.179822780073439,
      0.186009376411313,
      0.212662889604815,
      0.197643602211309,
      0.169298819634992,
      0.140095008689696,
      0.127859097869861,
      0.140380311388243,
      0.147721726774518,
      0.150612706528681,
      0.184476488739959,
      0.233218930550468,
      0.273420294444803,
      0.267122693807899,
      0.208415638246846,
      0.158871696180101,
      0.150728048394248,
      0.155365107149223,
      0.178455925271217,
      0.223840242666378,
      0.248172486570881,
      0.200202315532495,
      0.135213969197752,
      0.108813668150884,
      0.112841591095672,
      0.119481710847968,
      0.117628715884981,
      0.132969467151325,
      0.150322439829434,
      0.161303217800892,
      0.178733206753479,
      0.207892780813433,
      0.199346551989737,
      0.180467941411465,
      0.170724632841817,
      0.155008131507046,
      0.135539746536571,
      0.133138212841409,
      0.141649295999381,
      0.146751251785955,
      0.142159563822249,
      0.150262471262877,
      0.176502269498196,
      0.195776287305463,
      0.211297166569427,
      0.228384553045712,
      0.188946116169667,
      0.137110936798675,
      0.119043550301002,
      0.124173011014644,
      0.136100356034108,
      0.154375273224567,
      0.168378382795077,
      0.21631909675028,
      0.256966353920881,
      0.217182858037151,
      0.173611378424781,
      0.185317250192648,
      0.209802232246684,
      0.227742127540193,
      0.236285563381473,
      0.221694310807193,
      0.18731269586011,
      0.177269158724977,
      0.189389194441059,
      0.205533986525638,
      0.200082255263925,
      0.179363062013489,
      0.177896966559893,
      0.212494711613696,
      0.216993182403089,
      0.19328076055982,
      0.164148501849916,
      0.13093446236904,
      0.126847555386771,
      0.14249824069462,
      0.147307128672892,
      0.167136860718255,
      0.213920901055912,
      0.25437111257677,
      0.267005306253716,
      0.23352450474615,
      0.179331572589648,
      0.153181640006732,
      0.151787591160738,
      0.159378829777201,
      0.195056745069013,
      0.239570033574569,
      0.265341283874722,
      0.261842757194727,
      0.244997709258943,
      0.215260094761515,
      0.193451521536192,
      0.181623543868248,
      0.18312488756421,
      0.184032163116357,
      0.175863493903928,
      0.185923841672181,
      0.209739015232303,
      0.213386281792363,
      0.196388781020232,
      0.18523439530178,
      0.158856021895366,
      0.141582932137826,
      0.135490445294959,
      0.129622688536877,
      0.132032205486374,
      0.137787152676107,
      0.124575308835166,
      0.109253528206559,
      0.110694668662072,
      0.121507688734787,
      0.127267871510344,
      0.148439873373258,
      0.169276830732861,
      0.151948661804577,
      0.12354965341987,
      0.116470641555884,
      0.13879392111474,
      0.16616576648992,
      0.147638018292474,
      0.117718352020339,
      0.121924973386568,
      0.122651802252278,
      0.108952267785296,
      0.09837892319576,
      0.0896835148916122,
      0.0783905750305233,
      0.0796707462088484,
      0.0937482309588035,
      0.111256377963384,
      0.111348726511946,
      0.106338473551947,
      0.102601208279249,
      0.0890848645922274,
      0.0773625068464514,
      0.0134183237743283,
      0.0604225515887071,
      0.138421422912222,
      0.216623325313331,
      0.232354736108627,
      0.210162218575038,
      0.198095369197688,
      0.208623493615661,
      0.224294498854655,
      0.284558835520981,
      0.346850718873941,
      0.315652784125474,
      0.259533229613148,
      0.223719593646576,
      0.201692157534063,
      0.210014274646786,
      0.232972833714534,
      0.222120232599502,
      0.167203207063338,
      0.118992046923723,
      0.104378750540791,
      0.110273812162322,
      0.109075299723099,
      0.112196338776452,
      0.124402659889468,
      0.132703778163119,
      0.149021788359235,
      0.179517100740604,
      0.198872665830535,
      0.184243210711791,
      0.173582701981133,
      0.160091410890744,
      0.161057604055314,
      0.167169787790533,
      0.161774133522239,
      0.16428648519264,
      0.183041146168816,
      0.180587248543724,
      0.168202163788094,
      0.191837138101098,
      0.220726982976341,
      0.208012337637157,
      0.178293418812279,
      0.159740772800318,
      0.150157811157505,
      0.153223488723269,
      0.160274717743536,
      0.174869455056406,
      0.188292312253964,
      0.184581510063802,
      0.212468521499225,
      0.240353066108333,
      0.220195365356818,
      0.211027008297066,
      0.241690472364311,
      0.285927674546603,
      0.307822692823161,
      0.281318628848439,
      0.20505724129551,
      0.148229586087791,
      0.146314247222689,
      0.179059846993735,
      0.201997198820344,
      0.190211812298142,
      0.167770909139087,
      0.169960432685371,
      0.195148198865763,
      0.196698293342669,
      0.17987778756101,
      0.14393673114378,
      0.121687898348224,
      0.131018494345026,
      0.140211072663519,
      0.142439659345843,
      0.169208699741994,
      0.212166667695912,
      0.243875688437876,
      0.235655371397821,
      0.190323947533052,
      0.156854278875348,
      0.151074833120805,
      0.144216573815675,
      0.151280517545591,
      0.179931506612859,
      0.207052797182869,
      0.182975716475679,
      0.132842495646358,
      0.105545172403836,
      0.112943278420752,
      0.123208742267388,
      0.120508808013365,
      0.122228508894743,
      0.124811107350633,
      0.134417917501637,
      0.161822765518583,
      0.192317171254299,
      0.186925692304882,
      0.174416500781684,
      0.168056482427661,
      0.15970178185788,
      0.143058141076694,
      0.134117380639653,
      0.136733067468214,
      0.143353881993848,
      0.138566768960826,
      0.141074845004611,
      0.164431310138986,
      0.188091733662048,
      0.206725340481926,
      0.220332361889274,
      0.180731008571103,
      0.127942040314154,
      0.112199879772422,
      0.123898208579362,
      0.133496358678501,
      0.148541659560054,
      0.171536522735626,
      0.219313152394848,
      0.248875235697724,
      0.20568543274942,
      0.156434216765595,
      0.156382650131529,
      0.173934768166237,
      0.196657700992603,
      0.220723699647607,
      0.222905043679638,
      0.195307049669768,
      0.176703959852663,
      0.178314062984007,
      0.192679886173581,
      0.193102408450073,
      0.171378221348566,
      0.162741727434141,
      0.192000786523761,
      0.209171959313121,
      0.208579124940181,
      0.177819870299672,
      0.133049225666425,
      0.120513286714996,
      0.13602132834729,
      0.141717212602263,
      0.154041487073424,
      0.192086605541135,
      0.233691024567399,
      0.247071374693335,
      0.2174201607573,
      0.173697462245642,
      0.156935303762522,
      0.149290535507801,
      0.145629448028476,
      0.166317821370681,
      0.195667687385236,
      0.217740017754068,
      0.232101757857158,
      0.228344450705314,
      0.203776002563894,
      0.186634982831557,
      0.171778194278216,
      0.165985531344633,
      0.161897800455373,
      0.156289850592664,
      0.170189560681608,
      0.191360866709319,
      0.193571038699891,
      0.181630676751725,
      0.171046410632842,
      0.146787648533204,
      0.140740376998982,
      0.14574227469948,
      0.136168181017404,
      0.124696894033571,
      0.123344565095931,
      0.119999951662378,
      0.12016189419456,
      0.125034172367407,
      0.129935476812787,
      0.139009993829311,
      0.165486660805538,
      0.181663581586274,
      0.158654719488982,
      0.127554249130948,
      0.128789047650416,
      0.161957019973015,
      0.182564675911053,
      0.147405257980966,
      0.113564288847656,
      0.119542916242884,
      0.12277069574864,
      0.110629641243339,
      0.100230797256442,
      0.0916225798221902,
      0.0773267059211871,
      0.0757046357516485,
      0.0872720325815559,
      0.103565919513637,
      0.106498989053173,
      0.10598350226437,
      0.10509365321969,
      0.0915912338697112,
      0.0779391958140626,
      0.0111397679461188,
      0.054698537751558,
      0.135652225592414,
      0.220193872075975,
      0.2318497724706,
      0.204907582950264,
      0.194560652297056,
      0.209083575482663,
      0.235849021885324,
      0.317917095527838,
      0.388107097381489,
      0.331498124794296,
      0.247597586110937,
      0.203331657044599,
      0.18812852673128,
      0.207649243507884,
      0.220170363717822,
      0.197439097211582,
      0.151594304835166,
      0.114551603111617,
      0.101015550784997,
      0.105557176958663,
      0.104311058109779,
      0.103126094056328,
      0.103815619971715,
      0.106717451381602,
      0.124607639483004,
      0.158982967873386,
      0.185318459521396,
      0.182269583681304,
      0.172084507728555,
      0.156489885905791,
      0.154733128733056,
      0.164470219355254,
      0.159482837733261,
      0.156582742365182,
      0.178888908266366,
      0.189039751625757,
      0.171403662747819,
      0.167025489957788,
      0.178731955180845,
      0.178044865933165,
      0.166189617600899,
      0.156224619894335,
      0.150746292054479,
      0.149298758427509,
      0.158492950963923,
      0.187215977887999,
      0.208993463895284,
      0.197879069753921,
      0.220116585702339,
      0.248373144815375,
      0.225406647056645,
      0.207020531594848,
      0.230972282853854,
      0.276179624912628,
      0.305739192197195,
      0.277662505392751,
      0.201339556979302,
      0.152039456570507,
      0.147815521829622,
      0.170347060721997,
      0.188739227111134,
      0.173698193905201,
      0.146026683590891,
      0.148574722524051,
      0.181671293257456,
      0.198557008668805,
      0.187358392198147,
      0.146572051337096,
      0.119575002417671,
      0.131884616080329,
      0.152697046224509,
      0.158357483759297,
      0.16592790648904,
      0.179706211365174,
      0.193420940920524,
      0.193410806085914,
      0.172530928969205,
      0.163243059120104,
      0.165240895862593,
      0.150943445912893,
      0.143648605209723,
      0.159295113582608,
      0.171685573074004,
      0.146645896969983,
      0.111194737126645,
      0.0982012736100293,
      0.110898563681841,
      0.120226942226133,
      0.114176090116374,
      0.10926958779964,
      0.10649367258046,
      0.112660968079344,
      0.139286551130211,
      0.174678637310262,
      0.185042843743413,
      0.175904949178961,
      0.16499938545415,
      0.15045750850367,
      0.13369551119108,
      0.123696146698489,
      0.12381135598057,
      0.130301912707802,
      0.126096773449091,
      0.132420469655369,
      0.159962490266364,
      0.185565479463727,
      0.194504749626189,
      0.188045446323517,
      0.147998761853007,
      0.116927524483617,
      0.117385646161021,
      0.135779242055545,
      0.153424077547365,
      0.18475269435334,
      0.207126462120823,
      0.210354448861127,
      0.200801685766315,
      0.172244763208383,
      0.141340335258622,
      0.144979745644972,
      0.179150664274478,
      0.217435921733692,
      0.232604817723533,
      0.223720585615781,
      0.207001738192961,
      0.191419465983644,
      0.180961383520942,
      0.183304361160385,
      0.180816390553951,
      0.154760201194719,
      0.142239190337818,
      0.172112471503948,
      0.20181444208929,
      0.209692547304,
      0.17749881647517,
      0.129711298729166,
      0.118191382908226,
      0.142894969606759,
      0.160423192458694,
      0.1672640652843,
      0.178142361508012,
      0.190347631413963,
      0.197024835985789,
      0.188202763162937,
      0.171103242391209,
      0.170892264350379,
      0.160370554647492,
      0.14312887087497,
      0.148056803086414,
      0.1678439674919,
      0.186616522320821,
      0.205173696053185,
      0.21109439130442,
      0.20262172597907,
      0.197217056572782,
      0.184267376207403,
      0.170204552465266,
      0.154598240863747,
      0.142051040314233,
      0.150478695918917,
      0.169706395847737,
      0.179996319826975,
      0.179616412299466,
      0.169975604100375,
      0.143510735250465,
      0.135670352806222,
      0.14109827666197,
      0.128363026797061,
      0.114710548490791,
      0.114975052165725,
      0.117928492767693,
      0.123551271256745,
      0.1310870086665,
      0.138139850984756,
      0.149600251159327,
      0.168286717994571,
      0.177237565961976,
      0.162991240042613,
      0.140294880825163,
      0.140753107491417,
      0.167290245125156,
      0.18023269236222,
      0.142264001378893,
      0.110336359948022,
      0.116357719117067,
      0.119149724702702,
      0.106313100636646,
      0.0992256202200008,
      0.0936855804306414,
      0.0757641404545499,
      0.0672874362331973,
      0.0743209340119042,
      0.0917234435683751,
      0.0974906377975523,
      0.0981306461816775,
      0.0993241921610744,
      0.0875855659332403,
      0.070299104936387,
      0.00925838078135083,
      0.0496345865643671,
      0.13427899612795,
      0.226975109373009,
      0.234973667799948,
      0.203680564822704,
      0.197519323095543,
      0.213451400404647,
      0.23525110165418,
      0.303856306004574,
      0.360461296214212,
      0.309447863412294,
      0.229371282427363,
      0.182688368758457,
      0.172539057148857,
      0.197402780391592,
      0.201310096898636,
      0.165921098267122,
      0.127927551197573,
      0.108675202379184,
      0.103534798538741,
      0.103272910219034,
      0.0968139240380916,
      0.0955228548834577,
      0.0984780064573244,
      0.103581059777381,
      0.118605123220725,
      0.14925601683617,
      0.1809284007669,
      0.191131474790673,
      0.183728735357535,
      0.163420361502983,
      0.152888950067166,
      0.161838657344921,
      0.164664804470412,
      0.164874834917465,
      0.18598505747658,
      0.200627958800606,
      0.185498152865563,
      0.170169883335761,
      0.174182320679692,
      0.187656522988941,
      0.19455299914004,
      0.186353263250272,
      0.173411719219837,
      0.166996577421623,
      0.173883253117446,
      0.192882746442298,
      0.201519661167356,
      0.194602149863813,
      0.224648931920342,
      0.257119334284986,
      0.224190850126615,
      0.184348784732096,
      0.187653374872421,
      0.220488074822775,
      0.256665828342302,
      0.249323513883541,
      0.189831324366546,
      0.154232360712201,
      0.154905051343317,
      0.165495925897304,
      0.170339771850001,
      0.157392274090781,
      0.135494883228248,
      0.138261926231525,
      0.172999318988466,
      0.199575898927674,
      0.195880374715394,
      0.152575435276551,
      0.125691171603545,
      0.146153298452419,
      0.174983429907008,
      0.185530580895888,
      0.186579777607698,
      0.173149836930302,
      0.156947214807698,
      0.155236410056876,
      0.160223132914854,
      0.176323589686696,
      0.188076040396016,
      0.170235339649062,
      0.14910688421351,
      0.143921428249862,
      0.1379104211383,
      0.114417891480802,
      0.0947320389108068,
      0.0927989408895484,
      0.103844004482581,
      0.10774235848764,
      0.100929750641428,
      0.0987303757738614,
      0.0998676881682433,
      0.106067184899224,
      0.127500849639789,
      0.163076917247694,
      0.184944154937048,
      0.181831644701232,
      0.167090706270205,
      0.141866779731835,
      0.122662920591531,
      0.117727409082699,
      0.116194014376756,
      0.11610482751803,
      0.117413483465879,
      0.136690619953438,
      0.174054195304916,
      0.202802704219683,
      0.193861145045208,
      0.158910012921376,
      0.122719127506266,
      0.122679182513535,
      0.139068427899842,
      0.145129563156799,
      0.151811031980654,
      0.190178691666786,
      0.209948302625931,
      0.195352629747127,
      0.186169001519795,
      0.175160211756979,
      0.151970976997813,
      0.148707881305321,
      0.168365062460006,
      0.197493153029419,
      0.222379166897958,
      0.228003913983906,
      0.218931562582327,
      0.202492755806149,
      0.182050956426101,
      0.176635036943095,
      0.177434527437429,
      0.152875954611875,
      0.134199273642115,
      0.1551324193782,
      0.186756696739859,
      0.203160118482235,
      0.174619827700339,
      0.128321056161987,
      0.126005242915155,
      0.16349688419974,
      0.186340664678942,
      0.190713373470921,
      0.184707259493073,
      0.165003693898647,
      0.15296722490963,
      0.157787231884912,
      0.169898172412546,
      0.186298850860163,
      0.1764833701777,
      0.151009728825766,
      0.143496044729998,
      0.152976829759636,
      0.16500542092182,
      0.182943980361974,
      0.202235600120786,
      0.21066647914532,
      0.208130640964062,
      0.19446773096682,
      0.178125657042606,
      0.157508274748022,
      0.140848895426817,
      0.145764633524203,
      0.163881351908777,
      0.180331778757073,
      0.190105552754754,
      0.181698979001399,
      0.150715991627961,
      0.133538059216055,
      0.126753913055469,
      0.108790291284897,
      0.105589132116167,
      0.121917749382088,
      0.126253621384997,
      0.123132198089063,
      0.129398500967987,
      0.142309034657908,
      0.146821941846354,
      0.150215106802035,
      0.154285592012769,
      0.149129994953111,
      0.135093064185894,
      0.129097260291996,
      0.134426214988179,
      0.140421298418209,
      0.123064463473499,
      0.107553782709149,
      0.114865335911698,
      0.114824102161587,
      0.0991549340963738,
      0.0935966246167091,
      0.0916391206549442,
      0.0741353801959068,
      0.0607829933372697,
      0.0635066971382307,
      0.0819888523481315,
      0.0919142561630016,
      0.0921110628179922,
      0.0905435954705789,
      0.0780156432601868,
      0.0567486593324367,
      0.00890913310593315,
      0.0488952233091641,
      0.136037627140361,
      0.227246927300939,
      0.229636950618568,
      0.201219867144816,
      0.201673122104156,
      0.213092684747653,
      0.222320903834888,
      0.267843253405952,
      0.305581879872522,
      0.270700707839536,
      0.209998390223405,
      0.168486118927783,
      0.163282736178624,
      0.183697404188283,
      0.177343210020642,
      0.141088544777433,
      0.113909393055504,
      0.107231271109895,
      0.108630026709902,
      0.105223202931751,
      0.0970011650143047,
      0.097724414167185,
      0.103207208245489,
      0.110716451598596,
      0.124683715221832,
      0.152336656617718,
      0.184893705064737,
      0.196402995825241,
      0.187446477597881,
      0.16933851688154,
      0.164659497911579,
      0.172358014815194,
      0.173535274083904,
      0.172720490319085,
      0.189768755521735,
      0.199264453428289,
      0.187862998945575,
      0.176595011546814,
      0.183662803872429,
      0.193190921315836,
      0.200174153005057,
      0.206032092116177,
      0.198840101980013,
      0.182010729969122,
      0.172105199173776,
      0.18216131041486,
      0.198601217990603,
      0.215935053818378,
      0.25978149216627,
      0.277956278875191,
      0.222272722850749,
      0.183081785109912,
      0.188937998817849,
      0.20442444968074,
      0.213972639425663,
      0.213941027654693,
      0.179976626018853,
      0.158693629097333,
      0.165565799289436,
      0.174432845424401,
      0.17145614141571,
      0.161275609997627,
      0.147063800467576,
      0.153119511675234,
      0.184073134337644,
      0.203353349729315,
      0.197237010486962,
      0.153788836206904,
      0.134117803995158,
      0.158399511511293,
      0.17767802989473,
      0.179024723875046,
      0.178079689967851,
      0.159262782371403,
      0.134837410841216,
      0.131028229891111,
      0.153325866171281,
      0.182114235863025,
      0.187753831076685,
      0.166454543415857,
      0.148874875658567,
      0.134601271792046,
      0.118465896124633,
      0.0978749612789334,
      0.0877155251119856,
      0.0922050427002152,
      0.102616660048306,
      0.104448660106928,
      0.0988283676658068,
      0.098009782860981,
      0.101512668616092,
      0.110551147445806,
      0.130280523631382,
      0.162858641980493,
      0.182122587088843,
      0.176244105253721,
      0.160032583135348,
      0.138082870482739,
      0.129149071934376,
      0.135317046825186,
      0.128121700012649,
      0.122318835629299,
      0.133362470328199,
      0.157356879865827,
      0.192614764597007,
      0.221934549278548,
      0.201736600590673,
      0.160144112055949,
      0.13269580389919,
      0.151786058364119,
      0.188742909641975,
      0.194853079376611,
      0.167942034281951,
      0.161589494087307,
      0.162720435468013,
      0.163000614312091,
      0.182994539894874,
      0.198803366238643,
      0.187018444776689,
      0.170254067954989,
      0.164363150623129,
      0.177005772325486,
      0.212033666629066,
      0.228352936280145,
      0.214147324894605,
      0.196138923266425,
      0.181198418306456,
      0.177372430508235,
      0.180245233526749,
      0.159602994233806,
      0.142307826472244,
      0.161356124028072,
      0.186974123764017,
      0.196975571324927,
      0.169943986438784,
      0.133910276135362,
      0.138884489343952,
      0.169208023731272,
      0.179569693769096,
      0.184295459124196,
      0.177718603756745,
      0.148460068809352,
      0.128029908117758,
      0.140096813438447,
      0.176184312421488,
      0.199422113793665,
      0.18227564249646,
      0.154451536854267,
      0.143052808476049,
      0.144286414186839,
      0.153482415754027,
      0.175706021874431,
      0.205137655063195,
      0.218639488686877,
      0.206814371943316,
      0.190715621770782,
      0.182590048047926,
      0.170194817406129,
      0.156768657732806,
      0.158550332004886,
      0.171291759441034,
      0.185296334359004,
      0.193729043705872,
      0.183581758659297,
      0.156156220024698,
      0.1400249427371,
      0.126979473521916,
      0.105122130619027,
      0.105743721288234,
      0.132524602401711,
      0.141839806604653,
      0.132526068513243,
      0.128282423901076,
      0.136588910244056,
      0.137360008145563,
      0.131187485391461,
      0.129955657389176,
      0.13375445997938,
      0.129244665015238,
      0.121963107826224,
      0.116242911294072,
      0.113509015191492,
      0.104924888197359,
      0.101765059042142,
      0.111266546902026,
      0.109140526843124,
      0.0935738544760687,
      0.0873365685960803,
      0.0853580524315398,
      0.0721206804371795,
      0.0627768582362841,
      0.066944352902822,
      0.0847489670904361,
      0.0936033260162214,
      0.0909628885093619,
      0.0871751722526584,
      0.0756921425831232,
      0.0557277356412746,
      0.00981590320383802,
      0.0518952464683137,
      0.139293195422346,
      0.223923959365632,
      0.222882549957321,
      0.204471856024054,
      0.210883203199973,
      0.213297862367054,
      0.21005631554012,
      0.243781674642222,
      0.273290244334543,
      0.253023498414329,
      0.205939711345883,
      0.167483377606464,
      0.167803726739938,
      0.187912137290644,
      0.171844822239178,
      0.128747141834712,
      0.107278779773587,
      0.108116708824989,
      0.113112098379138,
      0.108601375461804,
      0.102326753052392,
      0.107627985313725,
      0.114140514641302,
      0.117219556982816,
      0.127255031275292,
      0.155833259424536,
      0.18884584294439,
      0.192729584510182,
      0.176707439486124,
      0.164571713392212,
      0.174607637496224,
      0.178999280844015,
      0.160365989738416,
      0.149326849562287,
      0.164606754191402,
      0.168421669339397,
      0.162864025032396,
      0.172935674107525,
      0.187396680102402,
      0.183861963450867,
      0.177689412215413,
      0.174663359323405,
      0.172920551204743,
      0.170861948086632,
      0.171454851251214,
      0.190354477643398,
      0.21596653550535,
      0.235217345200774,
      0.276858494555132,
      0.279646805201223,
      0.216974598687682,
      0.19192550309417,
      0.200340830742866,
      0.196740645849468,
      0.18404971483441,
      0.18130652348243,
      0.154386255463887,
      0.138352050483758,
      0.151920905200988,
      0.167808222202728,
      0.171917281441635,
      0.170980015203522,
      0.166785853004332,
      0.18367310652656,
      0.211814447099037,
      0.206815164194001,
      0.190559220205789,
      0.154828935862865,
      0.146041273023479,
      0.16749941553931,
      0.174828256743268,
      0.16760560469103,
      0.161059541570988,
      0.144028898171012,
      0.12956658141461,
      0.128884959044178,
      0.151443885920289,
      0.179503234921559,
      0.176839423457795,
      0.156081452155292,
      0.148993989672628,
      0.137791393564196,
      0.115210114180641,
      0.0919169678269818,
      0.0839892557025823,
      0.0906317638237603,
      0.100418433022585,
      0.103881542013363,
      0.105021482878983,
      0.109452464830108,
      0.111660111674109,
      0.115987967764827,
      0.133675011511274,
      0.167615205125609,
      0.182947591773419,
      0.168287064326711,
      0.150264963851567,
      0.139966299191891,
      0.14004704200342,
      0.147765863799757,
      0.140497328334026,
      0.13533211339099,
      0.149092189555898,
      0.169977160203921,
      0.198366100822829,
      0.225579223054985,
      0.212670268195452,
      0.180914241249121,
      0.147927425093618,
      0.148166143219169,
      0.195478707232872,
      0.23636124670935,
      0.20720214018276,
      0.160311480303852,
      0.144135055362945,
      0.150134074785837,
      0.168610975064708,
      0.187139844402361,
      0.196386814712921,
      0.193381193299472,
      0.184300259120242,
      0.183813679208822,
      0.198816994196234,
      0.192134844308285,
      0.174900543574177,
      0.169203386478721,
      0.169211527414653,
      0.173606397960723,
      0.17797040359005,
      0.164117978969557,
      0.161671700291782,
      0.187254064809829,
      0.194771130905104,
      0.184657732172841,
      0.160703728300664,
      0.139890786552242,
      0.154250619502145,
      0.176321608403551,
      0.174198547984546,
      0.171137960024764,
      0.161052985319649,
      0.138412674594435,
      0.126908334006335,
      0.138955578794943,
      0.17318058375882,
      0.187701607937373,
      0.166702676416191,
      0.150154749983549,
      0.145206631042831,
      0.140221453318101,
      0.143404709550168,
      0.168791027121027,
      0.203147629089208,
      0.21575263556684,
      0.196835411893144,
      0.183707455061949,
      0.187855794710895,
      0.182666650216792,
      0.166280161873791,
      0.1634825249058,
      0.177304964256142,
      0.190993806502778,
      0.190886402741965,
      0.17375282637859,
      0.152833970303921,
      0.145521093626275,
      0.136668967379431,
      0.117778851950778,
      0.118861578075609,
      0.141926928528095,
      0.15054810602312,
      0.141604031242534,
      0.130739146440969,
      0.123940046892138,
      0.117970282341893,
      0.114522962324579,
      0.116152466023348,
      0.118186781034432,
      0.115491825629348,
      0.112643325312101,
      0.108789554162595,
      0.103169411946294,
      0.097870950898213,
      0.0980098045563471,
      0.10359893750195,
      0.100305377672766,
      0.0914442230045828,
      0.0886274947534149,
      0.0854917220273943,
      0.0743107305843039,
      0.068565780244905,
      0.0721880836856711,
      0.08481837081282,
      0.0915748506096286,
      0.091146002687253,
      0.08760746588966,
      0.0757734557330316,
      0.0572345074724011,
      0.0102715316884284,
      0.0537516891219389,
      0.140195424626427,
      0.22153010423862,
      0.220534357204702,
      0.20955685612628,
      0.221242736906973,
      0.22002553522279,
      0.206288869403628,
      0.230418455932987,
      0.25857128882175,
      0.250389939110763,
      0.210336781631277,
      0.172024092025129,
      0.174001943907825,
      0.196130377638514,
      0.176500912842709,
      0.126309858726205,
      0.106726386526523,
      0.109936903452469,
      0.113528117454244,
      0.10881415491199,
      0.105725473423062,
      0.11376897565389,
      0.118785617389129,
      0.116440010530787,
      0.124603524676002,
      0.158185518916199,
      0.193095914108351,
      0.190641792657854,
      0.167965079860111,
      0.156438486433247,
      0.17219048163666,
      0.176823841496049,
      0.154233195295004,
      0.144641283657982,
      0.159682165316168,
      0.161259828950229,
      0.162332073017391,
      0.187103744775566,
      0.204372256880312,
      0.201615964091188,
      0.189197602503843,
      0.155192637648317,
      0.12836426115039,
      0.129280068063769,
      0.140846644548536,
      0.164706714875433,
      0.193413554440918,
      0.204191092610379,
      0.239768045767025,
      0.260210187665126,
      0.216902835337163,
      0.190543522980157,
      0.193422183289903,
      0.186307783208166,
      0.17370904562961,
      0.168363552964799,
      0.136419747761256,
      0.114118771689121,
      0.125078475609696,
      0.143343673686808,
      0.15130731280972,
      0.15127324114124,
      0.156223256535466,
      0.19057490525166,
      0.2217130903616,
      0.199480526627395,
      0.175455703869414,
      0.149666265130872,
      0.151057675099746,
      0.171502099140594,
      0.171005014851365,
      0.157867428742418,
      0.151664634671537,
      0.14430676727073,
      0.142434176961728,
      0.143262547077904,
      0.152724273438049,
      0.167731606514822,
      0.164099618354695,
      0.153930129451646,
      0.154425529862424,
      0.148319765271711,
      0.128978429647394,
      0.103698180584498,
      0.0913396652031606,
      0.0978335930780409,
      0.109843531056495,
      0.115483232451553,
      0.118815560232635,
      0.121210794981524,
      0.116142460793461,
      0.115225704358248,
      0.136338269621185,
      0.175131618112598,
      0.191658638607164,
      0.174854933256847,
      0.156204725241921,
      0.153426058236889,
      0.149819358039701,
      0.140483893504655,
      0.135489773990331,
      0.138688400533768,
      0.138991526375163,
      0.145553810051796,
      0.175460772472013,
      0.20901019261119,
      0.204473034514796,
      0.175052285745288,
      0.139242222273182,
      0.116114892248486,
      0.137960720383991,
      0.183864986875701,
      0.190772308630488,
      0.172574531032044,
      0.165520511221906,
      0.162379197068246,
      0.163150257165267,
      0.16466994953023,
      0.176842178704055,
      0.183615521241746,
      0.177138809861225,
      0.177424540871049,
      0.190072286891788,
      0.176987461440619,
      0.156494669732108,
      0.149984832477267,
      0.149503447509957,
      0.155787236510107,
      0.165359565148489,
      0.159429127709757,
      0.167463752373508,
      0.203143196177656,
      0.207904726099759,
      0.184543071582425,
      0.158425003057269,
      0.142518624000902,
      0.158214676920463,
      0.174265453506971,
      0.167048413981258,
      0.159077617172474,
      0.151694832886042,
      0.142553338167175,
      0.141627683348871,
      0.147251547557652,
      0.16687806019934,
      0.174021806217905,
      0.159652103277695,
      0.153029848175203,
      0.149143116281852,
      0.136404136220888,
      0.134354734586637,
      0.160892341507052,
      0.194440639148749,
      0.205855615676894,
      0.188880777712685,
      0.178565532127043,
      0.18773385666139,
      0.182544051717605,
      0.162319848187096,
      0.160451389769015,
      0.182129979161069,
      0.198648258666068,
      0.192372102745804,
      0.169736341333456,
      0.150031812697002,
      0.144886048529599,
      0.14231715015734,
      0.134155172877033,
      0.136766308199147,
      0.14256449399585,
      0.139798933733659,
      0.14251954957188,
      0.143515584378231,
      0.12653945560427,
      0.113054607915634,
      0.123293485430518,
      0.136916866882365,
      0.132888029182306,
      0.117406508175348,
      0.113054639803933,
      0.119498697949961,
      0.122679412786039,
      0.111607440714625,
      0.103109273673928,
      0.104421349789919,
      0.101951412220346,
      0.0956819933841458,
      0.0961783600861935,
      0.0951833781788902,
      0.0837028789767266,
      0.0779129649592817,
      0.081256772868937,
      0.0908099024451781,
      0.0936708557123009,
      0.092472380812594,
      0.0885137381471332,
      0.0755399314210741,
      0.0572705414258512,
      0.0112524590151584,
      0.0572929890053139,
      0.140428908579721,
      0.211947167034895,
      0.210800948707731,
      0.205847570022949,
      0.223526059415489,
      0.22772144047331,
      0.210119564166008,
      0.223744562791818,
      0.253028513125598,
      0.248347874449101,
      0.208025183460359,
      0.17277099774117,
      0.177135858443678,
      0.200329695531204,
      0.179672150150089,
      0.1278293548734,
      0.107152576218836,
      0.108612644738232,
      0.111761814143363,
      0.110138059687924,
      0.107922807737671,
      0.115327540161868,
      0.119773601224944,
      0.118310483571084,
      0.129229412478872,
      0.161340438132437,
      0.187007799852308,
      0.182416031640239,
      0.165312535772271,
      0.157669794165855,
      0.166566418295226,
      0.166439548686369,
      0.155367918392163,
      0.160548942092543,
      0.185196030721152,
      0.194154094389483,
      0.191762284244833,
      0.206998363106586,
      0.225523517125824,
      0.23748800939574,
      0.229891786621329,
      0.188313492236539,
      0.151506616825319,
      0.145228240930604,
      0.154601974041326,
      0.184796596891899,
      0.212225546368189,
      0.206591639077715,
      0.236134107974316,
      0.27170363167557,
      0.242430716083958,
      0.211331342106271,
      0.209114287809886,
      0.21146044228268,
      0.215515547819587,
      0.207346154395719,
      0.157913680199813,
      0.12241228294178,
      0.125618795526639,
      0.13947550463984,
      0.139491418138819,
      0.131511156534299,
      0.137047212894403,
      0.179322973112026,
      0.218303617949498,
      0.209291633346454,
      0.191436364298293,
      0.166900756171416,
      0.17225912828764,
      0.20204802193632,
      0.207797062410188,
      0.189139001113131,
      0.184362933425778,
      0.190999740058085,
      0.200461000208491,
      0.199804139365995,
      0.198790163983675,
      0.208244126744628,
      0.205802497519041,
      0.18646948797848,
      0.17358791433738,
      0.168316481472528,
      0.167635241448772,
      0.149020909738451,
      0.125058071255378,
      0.122366088672126,
      0.138932532267569,
      0.14958722689034,
      0.149373832502155,
      0.143379863778963,
      0.130451634112072,
      0.127517580821537,
      0.155109369208058,
      0.195971716618922,
      0.210211319704308,
      0.198402620105506,
      0.194192542474583,
      0.203207598763281,
      0.18332514884725,
      0.162595919301375,
      0.1742927474358,
      0.18194746680348,
      0.161513337442929,
      0.152372661861268,
      0.170929944761018,
      0.201670763342712,
      0.233196115668795,
      0.230070343149664,
      0.187241668399617,
      0.153678329313915,
      0.155924188569965,
      0.165517676121747,
      0.172104023484713,
      0.196934362645556,
      0.216721932683256,
      0.216717976488726,
      0.223977367481392,
      0.212550247789465,
      0.194506752695956,
      0.185428452890305,
      0.179133709944307,
      0.186413624663204,
      0.209134746367531,
      0.211538922522444,
      0.193148690840616,
      0.177140542935185,
      0.171813437356554,
      0.172072927087453,
      0.16816431187225,
      0.154414032598444,
      0.165564847718794,
      0.209184046848571,
      0.227976907638749,
      0.223057381115072,
      0.196346915330051,
      0.171511312281591,
      0.188154998853976,
      0.212779043360216,
      0.202532864462386,
      0.188579297267297,
      0.190525177376236,
      0.197544532969682,
      0.203817259348779,
      0.203167350805306,
      0.209565734065236,
      0.213051335125598,
      0.196308613677023,
      0.175854428477841,
      0.162704077808973,
      0.149470177942348,
      0.150322471318016,
      0.1729577009943,
      0.197521648678846,
      0.202936320100232,
      0.192356166360049,
      0.186035209861475,
      0.199196734526906,
      0.192412921934915,
      0.170414445465281,
      0.168745129631114,
      0.186161370541921,
      0.190968871562085,
      0.182965073476675,
      0.167500438434888,
      0.156694353881985,
      0.156539377773867,
      0.15503737608981,
      0.151497027470158,
      0.163991514842279,
      0.174067928751874,
      0.172143361966843,
      0.186601574052916,
      0.199726329446424,
      0.17973013635904,
      0.160788883851879,
      0.189112300239097,
      0.225087568922257,
      0.220480660888586,
      0.181639500441311,
      0.163447681040616,
      0.174639003306528,
      0.185320283657048,
      0.156712071558148,
      0.12935581823892,
      0.125131761965266,
      0.121508775433401,
      0.109561435530603,
      0.105338179501726,
      0.102410890481235,
      0.0881689209988763,
      0.0790967068193529,
      0.0810731734096014,
      0.0923668086058475,
      0.0978922090116671,
      0.0971053099102139,
      0.0914740793853109,
      0.0767760177979509,
      0.0590593125958871,
      0.016425162118186,
      0.0741760468306061,
      0.155396038248829,
      0.205669177463417,
      0.199404901282697,
      0.200155402677289,
      0.22459167605457,
      0.239635823370286,
      0.221372378227611,
      0.221132531151711,
      0.248250815209512,
      0.24041783842564,
      0.197186029331131,
      0.175136824978813,
      0.199744757153699,
      0.232690649736659,
      0.204345535450034,
      0.141985983775322,
      0.109907296801401,
      0.104432202642377,
      0.109285588676389,
      0.11084031178116,
      0.107588626003304,
      0.114924614455955,
      0.121722368006005,
      0.120845134647104,
      0.13066034072339,
      0.159014635746723,
      0.178035584969142,
      0.172761905629308,
      0.166428693676517,
      0.166317945963475,
      0.169938602395979,
      0.168820159073535,
      0.169893867930719,
      0.182063180159858,
      0.205266050916935,
      0.221003031035638,
      0.220740084734892,
      0.219931553529557,
      0.228175631660538,
      0.244595114667784,
      0.245626982443436,
      0.225555772728714,
      0.208934453992782,
      0.201109979777037,
      0.201429069195423,
      0.236101388245883,
      0.257753276800308,
      0.230102687338819,
      0.254180739014825,
      0.288788464085839,
      0.25138158633482,
      0.218366079568352,
      0.223926309887957,
      0.245094885073666,
      0.273215629148154,
      0.273022406500925,
      0.208919461077514,
      0.151721935231074,
      0.14049050540487,
      0.152302906142671,
      0.152957614470139,
      0.137146318030989,
      0.131613159358311,
      0.16468152106188,
      0.215023862228554,
      0.242234105523602,
      0.235819833885793,
      0.203970032234812,
      0.217230211206034,
      0.262635130644938,
      0.270016976276244,
      0.244209287613532,
      0.244084601783261,
      0.256573695559046,
      0.272160533543589,
      0.279846256563757,
      0.272280364657813,
      0.267553641514059,
      0.261105830274407,
      0.23193991341384,
      0.204769677814111,
      0.198278957339022,
      0.208877968243189,
      0.190763291109205,
      0.161082340183442,
      0.160536546525102,
      0.184614759325373,
      0.197111457603857,
      0.194197856288176,
      0.182130590242381,
      0.158917116433475,
      0.150868014291603,
      0.182109367003355,
      0.223776805627681,
      0.234175665976231,
      0.230886799546391,
      0.243885049277739,
      0.262220738632862,
      0.2254242387818,
      0.197954342036182,
      0.233219281257014,
      0.243570991878639,
      0.205172384667474,
      0.193474297970006,
      0.21870571392746,
      0.248789526393959,
      0.279904069011674,
      0.264523901649873,
      0.215688317830868,
      0.197692032083,
      0.208250956251407,
      0.199883536538378,
      0.191358547432091,
      0.225882165365201,
      0.252916498870093,
      0.264862470581285,
      0.286161903488167,
      0.274050150591573,
      0.235872304136101,
      0.210975702019999,
      0.204381045663576,
      0.227375693456337,
      0.258900456017501,
      0.265127096375466,
      0.248236011794651,
      0.218611312175186,
      0.198981581298799,
      0.202780179323642,
      0.204057504720608,
      0.181220110601707,
      0.181473519355274,
      0.22451531091067,
      0.26193941882778,
      0.28378337983011,
      0.253441781581448,
      0.21661712760428,
      0.244251955931433,
      0.283440861222929,
      0.266419982378157,
      0.245061364033382,
      0.255008391145763,
      0.266953417076883,
      0.274299389330396,
      0.27646587491268,
      0.278143770174645,
      0.273992687931098,
      0.248793462431971,
      0.214346480981783,
      0.188776360039698,
      0.167223640676537,
      0.16399186646278,
      0.18766042621892,
      0.21264645040719,
      0.21397790212641,
      0.200178888953401,
      0.193022280049382,
      0.214325391659169,
      0.208516002647462,
      0.179413842743607,
      0.17229536584852,
      0.184395738731875,
      0.179449700808909,
      0.173216794093846,
      0.169463317702898,
      0.169246462108329,
      0.175601437106455,
      0.185293739859275,
      0.193694815530312,
      0.209312195771454,
      0.215424580671324,
      0.21444786698036,
      0.232795554409441,
      0.254434403447554,
      0.251563298200956,
      0.245132512369998,
      0.286475953863852,
      0.326394242302867,
      0.291532919509978,
      0.225770356048742,
      0.215028666160986,
      0.241685265729529,
      0.242384804400554,
      0.185206810774522,
      0.141145125281272,
      0.126460876700768,
      0.119311966563992,
      0.110095816935519,
      0.105860495742253,
      0.100897922858298,
      0.084553027862401,
      0.0726980559084939,
      0.0761763764732275,
      0.0964292547501851,
      0.109709291180831,
      0.106818527372482,
      0.0949356099653204,
      0.0762316922149783,
      0.0584445058634941,
      0.0245745234536183,
      0.101385958620105,
      0.184147211255608,
      0.208710081881638,
      0.190812962416444,
      0.192381422915683,
      0.218382393641862,
      0.239444267944391,
      0.225005437020637,
      0.221109851294196,
      0.242476371350903,
      0.225976027727964,
      0.182650194839678,
      0.176856943295932,
      0.22251116878267,
      0.263883444485018,
      0.231590551171335,
      0.16962730627181,
      0.12821551344185,
      0.113402492002202,
      0.116314974557939,
      0.115914370620484,
      0.107179373450185,
      0.112245257340783,
      0.119788919483616,
      0.117985320515752,
      0.12459007410728,
      0.151228301245461,
      0.172601539221957,
      0.169714469770969,
      0.169514424456944,
      0.174839901443964,
      0.177663217949326,
      0.174634195208217,
      0.180454691424483,
      0.194233158544731,
      0.199459777415031,
      0.194947414457628,
      0.192897139288674,
      0.191513984687184,
      0.190550718380262,
      0.195170722135071,
      0.205175447468758,
      0.205442914224456,
      0.197473796620552,
      0.192684845204445,
      0.19838480096233,
      0.225173923469125,
      0.23501752985289,
      0.211256110920738,
      0.232686884913758,
      0.256561481869147,
      0.211854752436616,
      0.175573296414716,
      0.180936878542504,
      0.205640258779788,
      0.235160856768235,
      0.247873201290359,
      0.212995570661372,
      0.161131873950705,
      0.133057894497126,
      0.139083509528826,
      0.151344827279025,
      0.139649029902087,
      0.125063549445283,
      0.143755036148393,
      0.19146697986085,
      0.228695819426103,
      0.224023056071694,
      0.184773686668503,
      0.188730301843127,
      0.226481561092373,
      0.234561847874369,
      0.220825498251742,
      0.230296504842787,
      0.236233458182456,
      0.234855587212875,
      0.237885699683392,
      0.239950128299704,
      0.233608626600467,
      0.22013128867001,
      0.20453796153717,
      0.195867697398057,
      0.198691751236141,
      0.217133535911765,
      0.202754421933575,
      0.165444939411924,
      0.168131011945873,
      0.200998048610766,
      0.208128553806644,
      0.193644865935513,
      0.184966437955775,
      0.170337123233088,
      0.166601686308433,
      0.192857928257867,
      0.231841631269234,
      0.238259437066803,
      0.230814492654705,
      0.239462700541133,
      0.23606695608849,
      0.196202675377915,
      0.169715123966026,
      0.18340320876081,
      0.183666588134488,
      0.164573915082835,
      0.168738836537609,
      0.201804222687738,
      0.230447476629378,
      0.238209626553758,
      0.206246375716608,
      0.163887886857596,
      0.159012894124516,
      0.17767672441882,
      0.173830244196538,
      0.162065140248206,
      0.18985147401162,
      0.2134056147651,
      0.230067175567589,
      0.254672544840586,
      0.243651221091623,
      0.205190707208075,
      0.183210491076135,
      0.177827890450234,
      0.19829369900852,
      0.228765063531778,
      0.246330625711781,
      0.239609465361205,
      0.212580258574037,
      0.194128330490166,
      0.206453996651399,
      0.21016180951629,
      0.18252122955273,
      0.179180761820251,
      0.220096760614819,
      0.250747455249539,
      0.249742946268201,
      0.209188536858965,
      0.176954751750338,
      0.19846851477748,
      0.227496132556805,
      0.224950875950015,
      0.228456778821554,
      0.240482091870438,
      0.233647392621404,
      0.231333146225742,
      0.239427021176341,
      0.243542690697741,
      0.235467691818743,
      0.216003079327174,
      0.197748869571477,
      0.17897759976632,
      0.156166319222493,
      0.153427166518831,
      0.178091939704078,
      0.202267781159801,
      0.207994451025565,
      0.19556918789973,
      0.186872349360295,
      0.203108045331513,
      0.19349119093216,
      0.162888122060726,
      0.157373426574085,
      0.172594149166421,
      0.17294983231344,
      0.170039618786504,
      0.171810470912883,
      0.175856385289451,
      0.18636253883727,
      0.196571006028254,
      0.201039276548623,
      0.203062937931051,
      0.184157012960645,
      0.16172698026239,
      0.173522055426255,
      0.207072971471713,
      0.220737680055953,
      0.218564994099816,
      0.250229173027351,
      0.268181574521371,
      0.22177862708749,
      0.176197411459038,
      0.183029138290369,
      0.212939138163348,
      0.211329643990978,
      0.156711350980823,
      0.117762610153702,
      0.109846640184496,
      0.108918526466491,
      0.103925485912438,
      0.100995999383799,
      0.0967521060826459,
      0.0811533876696506,
      0.0676423240547352,
      0.0718942013530842,
      0.09887703833069,
      0.119389243418338,
      0.115391311921469,
      0.0985094647436074,
      0.0756637455221277,
      0.0565249144849668,
      0.0259219903103967,
      0.106848370139606,
      0.189968580229595,
      0.205417356846086,
      0.180299122656431,
      0.175122850289994,
      0.191017893604071,
      0.206761876344752,
      0.203749319138106,
      0.216372867517214,
      0.238419853343778,
      0.219376145460252,
      0.178711049773451,
      0.17325122842215,
      0.211502028916295,
      0.24815540510566,
      0.239812859099365,
      0.210945994777364,
      0.161320767168981,
      0.125457722657814,
      0.118850327378121,
      0.11854467785376,
      0.108071428204793,
      0.107684621290516,
      0.110944618853662,
      0.10773858443387,
      0.114718167460628,
      0.14313148459247,
      0.169075746035172,
      0.169476427088006,
      0.175343483422513,
      0.17940088283001,
      0.166019654873408,
      0.145832320155129,
      0.144210998772089,
      0.162676004831348,
      0.177132352469497,
      0.170191108223929,
      0.159485964907225,
      0.160689544971549,
      0.16627778574012,
      0.165890388909585,
      0.169067062972189,
      0.173209168151524,
      0.16504717396115,
      0.154754222881601,
      0.157166365638676,
      0.188286221368863,
      0.213286921955059,
      0.193433630186056,
      0.199512274562532,
      0.214840263769545,
      0.173357340750037,
      0.145149666537391,
      0.153581410202105,
      0.165067782104179,
      0.181251995949118,
      0.219191535114555,
      0.21908173838479,
      0.177924772191012,
      0.147978220448481,
      0.147644498864884,
      0.157353041703457,
      0.152069283450938,
      0.138420296796344,
      0.147164235061879,
      0.170794900258221,
      0.175207178458334,
      0.165803914623527,
      0.136515573280391,
      0.125719026912564,
      0.137297527505938,
      0.146690494018177,
      0.159021796992638,
      0.173526865299557,
      0.16835358598407,
      0.161816756717428,
      0.166019909613262,
      0.167449014073356,
      0.159295149714513,
      0.14897898882774,
      0.15688930231841,
      0.169749822873894,
      0.175094129174759,
      0.188658813239167,
      0.171666103886977,
      0.125478213198728,
      0.115412562661833,
      0.134824098364439,
      0.139295938710338,
      0.129105150384552,
      0.128365322140243,
      0.128233655118035,
      0.134851916294784,
      0.156633664427864,
      0.188664287227996,
      0.193181087976018,
      0.187303704819978,
      0.188740225494303,
      0.172929569080935,
      0.149576046890139,
      0.131304639333223,
      0.124481601509247,
      0.121738010101677,
      0.122616967642408,
      0.127183167519692,
      0.148860282018488,
      0.171686631011781,
      0.172863689647921,
      0.154419834283471,
      0.12657076638417,
      0.106843102171611,
      0.10999290102683,
      0.120212250487135,
      0.124489775080377,
      0.148227879288062,
      0.172823943379059,
      0.177567315738912,
      0.177905893055976,
      0.172211025173635,
      0.152305400608415,
      0.136364802741294,
      0.135989598003415,
      0.157472410744273,
      0.18167212221813,
      0.197728963761565,
      0.20370260523406,
      0.193246490113555,
      0.17721905168446,
      0.184350084769108,
      0.187985949554206,
      0.159726183781772,
      0.146903168581893,
      0.172242246006754,
      0.183378514260061,
      0.172000646441314,
      0.147604212981142,
      0.125416506935576,
      0.129187594472074,
      0.141557427519244,
      0.152344257502724,
      0.170100651112502,
      0.175956536207352,
      0.162703903926159,
      0.161063773298471,
      0.167938937331266,
      0.171598820202418,
      0.162400348363464,
      0.15497836367767,
      0.161849169484479,
      0.162030187333174,
      0.150538189223869,
      0.156892743117519,
      0.176800116095442,
      0.189847058194236,
      0.192533243483523,
      0.185011216404361,
      0.179692865586142,
      0.189926527384437,
      0.176771473420159,
      0.14731538850153,
      0.145895101362308,
      0.164923694749502,
      0.170144723911109,
      0.167716836477559,
      0.175488011719229,
      0.176756606355912,
      0.167843959183594,
      0.157488240317312,
      0.143201334909226,
      0.127696424309341,
      0.113821780717673,
      0.100000693111725,
      0.0977335970224215,
      0.115543064072673,
      0.138650164393189,
      0.152115886058157,
      0.166568077587834,
      0.165861596454375,
      0.137647295037202,
      0.113348270242787,
      0.111751518643961,
      0.125057073925888,
      0.128623842409441,
      0.105128761102048,
      0.0921339525009112,
      0.100520917318295,
      0.10459901465784,
      0.09950155164866,
      0.097632219984235,
      0.0931938705759603,
      0.0762542469715814,
      0.0636506198724256,
      0.070534726411922,
      0.0981357673094558,
      0.118013970593876,
      0.115506418270472,
      0.0999997577866952,
      0.0761848711147076,
      0.0560952116291637,
      0.0174663652431659,
      0.0796148219304977,
      0.157931986770419,
      0.191645219747799,
      0.173929272793881,
      0.158763219209108,
      0.162639820300194,
      0.171449620973781,
      0.175577576788707,
      0.204292498922164,
      0.235601283123773,
      0.225719710760872,
      0.187094043623171,
      0.169528066691888,
      0.18847202783313,
      0.224345357324017,
      0.25346068206717,
      0.24177908923007,
      0.174027399510829,
      0.119646972737856,
      0.105565831580893,
      0.109721648514571,
      0.106817793438359,
      0.103994352551877,
      0.1022679331371,
      0.0970660975387607,
      0.105884315901701,
      0.137234703262065,
      0.165363235584273,
      0.16580774675943,
      0.171638938510189,
      0.16875472868466,
      0.146041475599104,
      0.121042958153962,
      0.115216197622667,
      0.141618280828523,
      0.178363283219073,
      0.178681585037451,
      0.156705060489228,
      0.160119685152515,
      0.176342517811035,
      0.176343554473378,
      0.165061591423639,
      0.153969535666379,
      0.146160870207557,
      0.146178647470761,
      0.156675459085582,
      0.201492163917868,
      0.240680339069849,
      0.212277330909113,
      0.204045960661166,
      0.215564613700597,
      0.176609554881502,
      0.148472842347511,
      0.152154606201873,
      0.152976518308224,
      0.166354092932482,
      0.205852316533405,
      0.19817229045809,
      0.16687749939084,
      0.163517952111651,
      0.173280947453285,
      0.177486900969848,
      0.174643989130224,
      0.16741622399496,
      0.173594076506179,
      0.175260188083783,
      0.145122243945978,
      0.134306223363117,
      0.11786058576934,
      0.104152855740387,
      0.104253080041952,
      0.10978089440878,
      0.125335074039316,
      0.141555051807614,
      0.141977316733312,
      0.144110063485809,
      0.151718667931528,
      0.146627568817339,
      0.132943905706796,
      0.122059336586241,
      0.135510081912791,
      0.155913995185415,
      0.168295145665736,
      0.180140320216223,
      0.155845609451905,
      0.102783689250545,
      0.0804600317561913,
      0.0870111504601141,
      0.0929026989211036,
      0.0895905164402485,
      0.0941998645520074,
      0.100023259944555,
      0.105160461881915,
      0.118891242296945,
      0.147117208535915,
      0.158611236349954,
      0.157610459571707,
      0.15380808971709,
      0.135318026035467,
      0.124895652874159,
      0.119225628540266,
      0.113773832142807,
      0.116960059726499,
      0.136365908851223,
      0.155263100131957,
      0.170607863892226,
      0.176286344638103,
      0.172771096984237,
      0.164506257933585,
      0.135803780151944,
      0.105380208409266,
      0.0973832644953946,
      0.114991547377465,
      0.137834409315528,
      0.162089902155768,
      0.176241570614003,
      0.170681698371026,
      0.151829232145316,
      0.139118144915509,
      0.133912277672838,
      0.131104347929165,
      0.137470076443039,
      0.161063188619525,
      0.18056457589133,
      0.179541863117831,
      0.175239826987289,
      0.174551937876557,
      0.167403883077903,
      0.172003073033258,
      0.179657866442713,
      0.160697771186664,
      0.152219964603334,
      0.171086558423586,
      0.158989418752887,
      0.137179558815097,
      0.127715995352394,
      0.109608866594073,
      0.103161666372589,
      0.107023195208711,
      0.118955491363683,
      0.139692624091563,
      0.148935186112724,
      0.143303597560394,
      0.149361139101572,
      0.154522116296728,
      0.148219537937835,
      0.129926750478898,
      0.126672824143681,
      0.143969099784203,
      0.156893186435624,
      0.159374493316233,
      0.171818556665645,
      0.180386334493931,
      0.181521097537202,
      0.183370957945997,
      0.178669916391765,
      0.17201632728541,
      0.172198279724781,
      0.15689234137971,
      0.134246958763731,
      0.140753915754602,
      0.162725695187579,
      0.167725211784017,
      0.162789862807133,
      0.169586735444634,
      0.162928985901762,
      0.14986687885589,
      0.141166388346011,
      0.121823576658314,
      0.102181661743597,
      0.0972359665248032,
      0.0887927299037424,
      0.0793330286110243,
      0.0894764248566161,
      0.1096637374823,
      0.120098059651561,
      0.128861346479685,
      0.133253695471088,
      0.118239190103259,
      0.09748801370419,
      0.0866686272064991,
      0.0889581330217347,
      0.0933073258955399,
      0.083485199900248,
      0.0805364936043637,
      0.0937989029390927,
      0.0988287047649116,
      0.0961082829190896,
      0.0962390005067686,
      0.0881876273368604,
      0.070053646587058,
      0.0599760499733593,
      0.0671063026449635,
      0.0892333457014733,
      0.104145042655814,
      0.103957452020284,
      0.0952899131322887,
      0.0747824357247913,
      0.0532360287248139,
      0.00978695272680931,
      0.0545947029683194,
      0.128012910585681,
      0.181666988841488,
      0.175274253442005,
      0.153093644234933,
      0.149636842325639,
      0.157593101457005,
      0.16431077825999,
      0.200349082818645,
      0.241663991771121,
      0.238383543198693,
      0.195927839458671,
      0.16394597114272,
      0.165953623026751,
      0.199586545303726,
      0.242561924916669,
      0.228322811650464,
      0.162040313560313,
      0.113048165127812,
      0.0958072099862056,
      0.095833174449462,
      0.0966335342446032,
      0.0949363941788169,
      0.0932724364307475,
      0.0894697351512045,
      0.100094189276846,
      0.133111270183121,
      0.16181668914228,
      0.157670887279955,
      0.150521929982257,
      0.139665601214885,
      0.12449756468255,
      0.110998447415079,
      0.1024858019779,
      0.119918208971807,
      0.170203220795312,
      0.193978477450504,
      0.173536028241128,
      0.172814345542722,
      0.192162245415108,
      0.192551780138285,
      0.170160793947554,
      0.139488397308598,
      0.125719437953798,
      0.134534939336199,
      0.154823081574376,
      0.207008510654253,
      0.24648964240224,
      0.21357869431943,
      0.199505256152087,
      0.205995003179379,
      0.172400347588207,
      0.155371628879589,
      0.165553317655132,
      0.167218488585977,
      0.168493008515533,
      0.180533101009511,
      0.155896985184126,
      0.12623442964269,
      0.135196425619934,
      0.16119680695681,
      0.176926925932554,
      0.177352134234814,
      0.177336798922676,
      0.189706620970858,
      0.185770108412028,
      0.143588930448952,
      0.133048819246139,
      0.117084240020781,
      0.099049263483653,
      0.0961001317639069,
      0.100315832308494,
      0.113684157294021,
      0.136805280030193,
      0.155765617013011,
      0.172222296452573,
      0.180038220731741,
      0.157859804158243,
      0.126769599320837,
      0.113324570740519,
      0.124222798552099,
      0.142641138572369,
      0.160196072383693,
      0.167034907596726,
      0.137356637537793,
      0.0935953494808475,
      0.0765244121519752,
      0.0809573413994632,
      0.0872335005252955,
      0.0866577252671552,
      0.0930263830932476,
      0.0982312095381309,
      0.101586642198378,
      0.11871328762449,
      0.149822791576459,
      0.156493508245267,
      0.147458465993312,
      0.135590663309797,
      0.119809867269899,
      0.110883832467024,
      0.108620181778434,
      0.112989531568176,
      0.131215322026681,
      0.15228073547351,
      0.171870301095969,
      0.185870537795118,
      0.186641342375749,
      0.183886388840692,
      0.180836770840082,
      0.145797361497143,
      0.115052391460939,
      0.10791421739904,
      0.122833702857554,
      0.150976516996443,
      0.181129063636933,
      0.188703259451401,
      0.178713846046394,
      0.161755318779704,
      0.146027618622513,
      0.142307432234027,
      0.151713226416094,
      0.168290792205733,
      0.185774381585978,
      0.1898149151597,
      0.17785040986233,
      0.165226144014967,
      0.161893917892966,
      0.161190635583087,
      0.16716538947604,
      0.175157663437422,
      0.168183961384718,
      0.172621565645153,
      0.190713457574496,
      0.164921533603253,
      0.144466436122289,
      0.139306584726331,
      0.111501642768946,
      0.0950717369814681,
      0.0975940723770455,
      0.107840815730184,
      0.127968776272046,
      0.148760537183946,
      0.162002631703309,
      0.179376958468956,
      0.176941587061011,
      0.148110253282778,
      0.119176886113112,
      0.116398697888697,
      0.130009846793363,
      0.147925104920338,
      0.162624070289206,
      0.177948871722374,
      0.183517486467173,
      0.182460159428414,
      0.178075839335944,
      0.167669143991054,
      0.15912419055643,
      0.157894123290039,
      0.144660542816368,
      0.125000514323667,
      0.133660974834953,
      0.158949777702758,
      0.165131555023544,
      0.154340054027252,
      0.148311048533792,
      0.133471932846692,
      0.126668961016842,
      0.126195058900972,
      0.112475020706981,
      0.104891584810533,
      0.108307225818272,
      0.0987805493085182,
      0.086522846753062,
      0.0911715268650805,
      0.101919746950102,
      0.106935523286083,
      0.116474144412641,
      0.129256837169191,
      0.124804841356645,
      0.104233153462139,
      0.0904512302734739,
      0.0931051671493337,
      0.0993909955821686,
      0.087952251710143,
      0.0839079708371853,
      0.100333409706479,
      0.105283388502868,
      0.0963722001507427,
      0.0919844684943321,
      0.0806475463589881,
      0.063626773812553,
      0.0565652754565444,
      0.0636008131291895,
      0.0807142127718131,
      0.0898758628988042,
      0.0879276893578624,
      0.0824664501134245,
      0.06728334243414,
      0.0481085358913733,
      0.00721642045765314,
      0.0466587401843136,
      0.117997703629727,
      0.180596688739653,
      0.184326816262301,
      0.158826744971198,
      0.147354384163513,
      0.157006783106375,
      0.169067183395054,
      0.210312782469009,
      0.256634441117015,
      0.251282569432252,
      0.206842181072948,
      0.165010724608913,
      0.151142786877635,
      0.174519706916967,
      0.205133373731796,
      0.190933713385797,
      0.142797255164951,
      0.102907634238846,
      0.0846957500857552,
      0.0840658862189062,
      0.0869687887546286,
      0.0878006084632537,
      0.0881866632071879,
      0.0861665486376932,
      0.0958180975433005,
      0.125865867325823,
      0.154082699666204,
      0.150672154094788,
      0.138828023110364,
      0.123918054981355,
      0.114665515020889,
      0.115818319535724,
      0.114887631095371,
      0.1223785297469,
      0.152597397833882,
      0.168391595111051,
      0.161215844986144,
      0.169488767750094,
      0.182322744297734,
      0.171312010985829,
      0.150049387032528,
      0.125826828138934,
      0.115078649985686,
      0.121061882382066,
      0.136468221983161,
      0.174627757042708,
      0.208776882060109,
      0.194121230853026,
      0.190351414020063,
      0.191793656615811,
      0.162250921044756,
      0.151935751265112,
      0.166309082285384,
      0.178511933866562,
      0.182089055284306,
      0.179995693456189,
      0.147272509775558,
      0.121934681884544,
      0.132157182115436,
      0.149803135913731,
      0.152602865227529,
      0.149881400202306,
      0.151893877800073,
      0.169064707404625,
      0.175841879033959,
      0.146969036313744,
      0.136208682239813,
      0.116259912706996,
      0.0974378426490312,
      0.100250321048527,
      0.108860648340962,
      0.114477577675688,
      0.134459820282456,
      0.164723617256795,
      0.195545389337415,
      0.206797052542414,
      0.171587521787874,
      0.127812812474226,
      0.116370566105179,
      0.118931317717433,
      0.129233682851659,
      0.147560193473277,
      0.160670552563512,
      0.138853975040587,
      0.104343974801327,
      0.0879193045824259,
      0.0941059753488239,
      0.103024412839237,
      0.103870408854454,
      0.10485595813553,
      0.103720434124833,
      0.105867292678398,
      0.128915739705486,
      0.160857237811943,
      0.161186121804509,
      0.150070029437024,
      0.139188692673361,
      0.125979486561021,
      0.111564756299624,
      0.110839675085972,
      0.120607180481276,
      0.131656428784738,
      0.130682377669975,
      0.140979920849926,
      0.166580582446226,
      0.183037388559439,
      0.185288993857854,
      0.184227874299572,
      0.149563004215723,
      0.115192551251395,
      0.106349997558901,
      0.115009321587679,
      0.131172030149911,
      0.152859712077571,
      0.163180859447078,
      0.177088784423636,
      0.193318831502066,
      0.175179367220813,
      0.14511795033411,
      0.142320354563874,
      0.157144658445067,
      0.170451107790052,
      0.178155258023972,
      0.181374732700994,
      0.169808100698643,
      0.157925236171609,
      0.157203501545843,
      0.162810068856214,
      0.167105892952197,
      0.161140049866861,
      0.168631118933026,
      0.190564078310396,
      0.175135185462743,
      0.163203760965093,
      0.151195007813768,
      0.113617971465039,
      0.0949251933481716,
      0.104315215409161,
      0.111178403924798,
      0.124780716004982,
      0.154066143962138,
      0.184386205089509,
      0.205987119663401,
      0.193186169835028,
      0.148294966305374,
      0.120725622078046,
      0.119325953600105,
      0.121571183942983,
      0.136004231568288,
      0.156232441937187,
      0.172283235714631,
      0.182990849828258,
      0.186330253405084,
      0.173380440821487,
      0.160199324843758,
      0.156805756751792,
      0.155107489252266,
      0.137836472664722,
      0.118770447674353,
      0.12688754161045,
      0.151058497973655,
      0.158875700595575,
      0.148290892785501,
      0.137514586689494,
      0.118223323505774,
      0.107596613351433,
      0.105179980114674,
      0.0991206545466982,
      0.110898989939173,
      0.129350684893774,
      0.118640939956308,
      0.101765794405257,
      0.0997803943406005,
      0.10569883797946,
      0.111631545384936,
      0.124893974084569,
      0.140259081829643,
      0.140835824729,
      0.121907974531552,
      0.110263252762236,
      0.110774158428936,
      0.113259393092556,
      0.101842355701334,
      0.100506407518761,
      0.119172346111458,
      0.119608654380242,
      0.0936669488489324,
      0.0809510183597174,
      0.0711392157464871,
      0.0588452372593432,
      0.0550246018092638,
      0.0621993653280812,
      0.0767426413257663,
      0.0823368335977902,
      0.0769629768860581,
      0.0729181205599438,
      0.0629299949555266,
      0.0459044924012874,
      0.00714745762859633,
      0.0470226837024919,
      0.120048690329847,
      0.193639217058094,
      0.207537767443313,
      0.175716633297697,
      0.152043535472807,
      0.162673844148019,
      0.183153598602379,
      0.227354550149945,
      0.272711632595438,
      0.267241239576163,
      0.225646880546146,
      0.176482594650088,
      0.14949366843974,
      0.165888943562016,
      0.188861687772146,
      0.167796722936904,
      0.124546203135743,
      0.0901315710438861,
      0.0751720698739681,
      0.0776100907511226,
      0.0835297543173625,
      0.0860264318261539,
      0.0858118561276028,
      0.0836020335760141,
      0.0918006432683007,
      0.118012953322873,
      0.145873868132759,
      0.145812858305607,
      0.135657124211501,
      0.122832541706721,
      0.125162669835512,
      0.14306668729873,
      0.143349374224784,
      0.133606285960209,
      0.138025261005048,
      0.143294129561208,
      0.145449789527378,
      0.15570565590639,
      0.162253223193671,
      0.15299254913492,
      0.14035161682092,
      0.12189903093465,
      0.10521975056409,
      0.103446435181995,
      0.116440062561659,
      0.144800732315759,
      0.169903102510308,
      0.16802258999087,
      0.182991035110276,
      0.197011100386387,
      0.172305721179254,
      0.151816724407439,
      0.155541362161527,
      0.178511121128158,
      0.206368246871171,
      0.20492625065538,
      0.154120505305634,
      0.121664485393501,
      0.134148647806595,
      0.148827626966675,
      0.134822550007656,
      0.117606248218573,
      0.118170126282151,
      0.14147478426567,
      0.162152380153318,
      0.149893452782051,
      0.138908204305732,
      0.116128850608891,
      0.0989705351338975,
      0.107061235224313,
      0.11871719934826,
      0.118163510306818,
      0.129795202578294,
      0.15377546717316,
      0.174772021871077,
      0.182348000632682,
      0.161405516224312,
      0.136991746837262,
      0.130225053420521,
      0.11734723979545,
      0.115134101931707,
      0.131020939358086,
      0.136832241759542,
      0.112431562534925,
      0.0902995613598239,
      0.0857681729553236,
      0.0964517481433118,
      0.104061268108403,
      0.100562651096068,
      0.0968094135418543,
      0.0948866896045131,
      0.0994957483429328,
      0.122433278975168,
      0.152809352334128,
      0.155759741428742,
      0.147958766349963,
      0.139998438031845,
      0.127741166883173,
      0.115596991980678,
      0.114947784265108,
      0.11900282742365,
      0.116751086143269,
      0.108467245742288,
      0.11688222586377,
      0.148496036764433,
      0.173822962652845,
      0.180304246348457,
      0.177750696968362,
      0.140999025247208,
      0.101667993536928,
      0.0961573995107348,
      0.109127678527406,
      0.118364324045024,
      0.139413167720971,
      0.16328601448444,
      0.187226357389408,
      0.20601487216689,
      0.177829947259497,
      0.134131825020505,
      0.125602007772108,
      0.136319883683005,
      0.152205281834535,
      0.173949391625937,
      0.185973656399748,
      0.168533262325831,
      0.153375709168111,
      0.154869186338304,
      0.158922855366024,
      0.152728479386448,
      0.135964526281627,
      0.141045602963343,
      0.170904262763195,
      0.17361995920109,
      0.165345463353082,
      0.145047230260136,
      0.109389554102349,
      0.0982193985915887,
      0.116562816016214,
      0.123122189943186,
      0.12483196042856,
      0.144654840154823,
      0.16646594470986,
      0.178550560175199,
      0.17366641392056,
      0.151889824023672,
      0.13686997554346,
      0.124694100128243,
      0.112054250808754,
      0.123233369614557,
      0.145660201337923,
      0.160661643993186,
      0.174913817155031,
      0.181274506760232,
      0.168757862018209,
      0.160997859138229,
      0.161971510062211,
      0.157297600459146,
      0.134145125820951,
      0.11361325900296,
      0.118545519974459,
      0.13779373591953,
      0.148556324481167,
      0.144405148425932,
      0.134685802646149,
      0.116830090987122,
      0.106317349124186,
      0.103695531651891,
      0.0955287351425335,
      0.102885112381904,
      0.119213708740703,
      0.11407224849642,
      0.104812097261869,
      0.110639680994475,
      0.124056462809329,
      0.129360227527933,
      0.138254623053418,
      0.153866153960809,
      0.147252367871341,
      0.119269822259901,
      0.110607610497704,
      0.117416482096732,
      0.115588615514348,
      0.0977712067142014,
      0.0928804272020667,
      0.105713001786595,
      0.102889736155304,
      0.0798894545827032,
      0.0692071240208347,
      0.063013024609888,
      0.055128392450476,
      0.051851976437764,
      0.0560492388875272,
      0.0675503388929281,
      0.073935461896082,
      0.0697654119156051,
      0.0653325129387405,
      0.0561097586124131,
      0.0409578309269873,
      0.00674586648205082,
      0.0453614804755771,
      0.121556108235742,
      0.212703788892027,
      0.2309364807191,
      0.188857573386123,
      0.158695195908106,
      0.169513708420958,
      0.19504111690151,
      0.247781076563937,
      0.293831579877961,
      0.276548748831405,
      0.226056173915166,
      0.1731784955715,
      0.145754583653959,
      0.155974904222342,
      0.166846843166775,
      0.141565542327361,
      0.108388750628318,
      0.0831424217359488,
      0.073098083460527,
      0.0741946078199022,
      0.0757492536090722,
      0.0768945176718312,
      0.0786624319348172,
      0.078558663962597,
      0.0868641354554168,
      0.111228869931189,
      0.138266186107735,
      0.140023260316829,
      0.133432183346242,
      0.126875647724427,
      0.144209587226086,
      0.17447031252874,
      0.171221128542611,
      0.148529891414944,
      0.145959680983986,
      0.151532478231612,
      0.151610486679662,
      0.152894792374421,
      0.158243436575292,
      0.169875377746168,
      0.183661531660439,
      0.167621752610017,
      0.128049031762825,
      0.107908573914353,
      0.117401091408944,
      0.144670768977248,
      0.158021043402537,
      0.151517776948131,
      0.17206707613431,
      0.194734388036632,
      0.174433498550009,
      0.148689701015746,
      0.149342025020861,
      0.172722383320801,
      0.202159950380781,
      0.201819465565848,
      0.151664323363473,
      0.118773965022678,
      0.129824605978505,
      0.145391386765489,
      0.13417785277779,
      0.112273300273905,
      0.107710838036372,
      0.129434716368387,
      0.153789837088855,
      0.151307292165297,
      0.141275852014956,
      0.116247049676794,
      0.104621587605387,
      0.123948122149531,
      0.140954221340684,
      0.133980880269993,
      0.131787906132233,
      0.137807215916361,
      0.141459896380995,
      0.147212152049614,
      0.151302976619936,
      0.157762986218854,
      0.153815717136647,
      0.123731449096035,
      0.105318055560899,
      0.110556855191805,
      0.110524639369507,
      0.0923939832226713,
      0.0763843821592965,
      0.0745667549920179,
      0.0845107238644874,
      0.0905284056626258,
      0.0855749360671941,
      0.082612465773339,
      0.0824473107526915,
      0.0877723406942107,
      0.106347761559697,
      0.134723113409587,
      0.144753354078138,
      0.140254648770295,
      0.136722074501261,
      0.127365019365613,
      0.115286869104706,
      0.113178664866505,
      0.116379345804274,
      0.109933377235986,
      0.0996107233576929,
      0.107943302406603,
      0.143829967135052,
      0.172384965005101,
      0.181701216306736,
      0.171381625100564,
      0.127519976418434,
      0.0981508949158944,
      0.110270010875936,
      0.124897929059151,
      0.131323635902936,
      0.15875155053948,
      0.177949658237611,
      0.180590453254578,
      0.187194841459047,
      0.161174659695674,
      0.124526179125806,
      0.121316316206724,
      0.13283683632858,
      0.150590591387708,
      0.173927705874842,
      0.185513367379966,
      0.170302256982634,
      0.151565583112913,
      0.142728490397414,
      0.142257640897747,
      0.134950866589292,
      0.115147883646436,
      0.117271746627784,
      0.147696051333386,
      0.1646939029992,
      0.161378242660858,
      0.138103311245086,
      0.107965201028605,
      0.108906675360217,
      0.136173917745639,
      0.143185252196361,
      0.135229436165146,
      0.137488609778636,
      0.138986139559595,
      0.141665214876896,
      0.148983178812026,
      0.157187341506526,
      0.162525102486304,
      0.140656177672648,
      0.109982848000104,
      0.11101879344914,
      0.132762102348981,
      0.147317132858368,
      0.159110847158768,
      0.166399182617293,
      0.160743171986347,
      0.155584353503619,
      0.154167409021449,
      0.15169621219066,
      0.132541317954803,
      0.11044439903716,
      0.110819053219062,
      0.127054608364983,
      0.13875321752428,
      0.13833125682795,
      0.131851935894724,
      0.120792213797051,
      0.115810606518351,
      0.112383695763664,
      0.0990684867316318,
      0.0972765553686289,
      0.103056444191273,
      0.100110769458972,
      0.0999781842038417,
      0.116352526374982,
      0.136348949909579,
      0.142913836868791,
      0.156832938093653,
      0.169563405775772,
      0.145405614022486,
      0.113015607540948,
      0.106294802187776,
      0.112292495237058,
      0.11081231820604,
      0.0915630678235669,
      0.0787614693480867,
      0.0838439532981606,
      0.0833242188528441,
      0.0704162446905412,
      0.0636798454322268,
      0.0594416445948164,
      0.0530707316770528,
      0.0492140090057267,
      0.0512777588242025,
      0.0607225329175101,
      0.0680996717739377,
      0.0649673005118143,
      0.0595193286972509,
      0.0504806774570455,
      0.0369496583623025,
      0.00561885022759746,
      0.0404623998071327,
      0.115872243871373,
      0.206865445051362,
      0.216200379274052,
      0.176979165181726,
      0.159518968006274,
      0.169652931805245,
      0.189754171395206,
      0.245666431105195,
      0.292927359753858,
      0.265665941652948,
      0.204878078084898,
      0.154812441461662,
      0.138051590976375,
      0.147261439494332,
      0.146822260421092,
      0.120681914962501,
      0.0944137314933233,
      0.0757265469864008,
      0.0704632475684387,
      0.0703315756917803,
      0.0693067996877762,
      0.0708549724884014,
      0.0735173388599248,
      0.0735634486003398,
      0.0819259098254505,
      0.10570601918021,
      0.130950443151344,
      0.132634521095918,
      0.128834283281469,
      0.126741166798454,
      0.156457457940257,
      0.189929477095058,
      0.166898105701106,
      0.128493452000586,
      0.134334765842518,
      0.149351257474302,
      0.154020767351283,
      0.166515066539507,
      0.179889426619457,
      0.19343043409579,
      0.206791891065825,
      0.189479331434931,
      0.147528524105891,
      0.119867024987307,
      0.121983859781323,
      0.150312430915747,
      0.160361551108025,
      0.146410468793861,
      0.163445211225033,
      0.185799369150654,
      0.161914954214645,
      0.13916178028825,
      0.147988596124338,
      0.163534752944537,
      0.176915751519829,
      0.189676754850084,
      0.162513617730618,
      0.124228706908192,
      0.121908182240516,
      0.140202292230666,
      0.138209335638009,
      0.111893680880989,
      0.102813038710952,
      0.126298623546883,
      0.151398622092877,
      0.152088226337982,
      0.143601286268741,
      0.120183020803655,
      0.114463702870865,
      0.140589461922131,
      0.15975321547302,
      0.156399311337135,
      0.148170444416565,
      0.130309729620512,
      0.113464190612383,
      0.119945140182721,
      0.147829824061595,
      0.174146161411806,
      0.16924957397623,
      0.132662780014061,
      0.107109327251292,
      0.102058302936906,
      0.0981471744586434,
      0.0831917868494129,
      0.0705174385744633,
      0.0712643184426762,
      0.0802831130089028,
      0.0826555939299662,
      0.0764803028483793,
      0.075537598634394,
      0.0777424416090341,
      0.0836257225425189,
      0.100334059668148,
      0.127866702089093,
      0.138284933155767,
      0.132710650534615,
      0.13058360535309,
      0.125832427326647,
      0.114945361337769,
      0.109082745788583,
      0.109574169462778,
      0.105686753660828,
      0.102176571649497,
      0.114298699212149,
      0.15051233166533,
      0.177166186861601,
      0.18192072558159,
      0.16215391468994,
      0.1196844597771,
      0.106427103467355,
      0.1245997790075,
      0.127688887252892,
      0.127593319996901,
      0.152109955409008,
      0.163470261699805,
      0.172252740740438,
      0.197262385333054,
      0.1764334813554,
      0.130999555371648,
      0.126861426145138,
      0.145243964927091,
      0.160513553871576,
      0.173033289740084,
      0.18304770903896,
      0.173815424781408,
      0.152938364637886,
      0.141173425675656,
      0.141165047406143,
      0.132054129226625,
      0.110242450732476,
      0.115888637600848,
      0.148664689969856,
      0.161866239015428,
      0.150254581783254,
      0.130115769748012,
      0.110630234034387,
      0.120994362866186,
      0.151815275608754,
      0.161047156541715,
      0.155352614178134,
      0.143949446117466,
      0.121591038110452,
      0.112193266737801,
      0.132621339779272,
      0.167955533836412,
      0.182909364950541,
      0.15156634464874,
      0.115817439449275,
      0.103134345987917,
      0.105518334171568,
      0.114390648212364,
      0.137126392266237,
      0.15203551178845,
      0.149113024056161,
      0.140703042740481,
      0.133975672388743,
      0.137866799201865,
      0.129334099601828,
      0.107560660823725,
      0.103525711491717,
      0.118773581417387,
      0.131804688727208,
      0.134708196169135,
      0.12985492223249,
      0.121535513832553,
      0.121388032144811,
      0.121144238234484,
      0.105583265503056,
      0.0922620613925078,
      0.0896125950098901,
      0.0871374910117301,
      0.08666824648962,
      0.100165674884388,
      0.118208402219651,
      0.12772805081551,
      0.147465621329839,
      0.156206336149034,
      0.124729009539037,
      0.0941316467633253,
      0.0914780162826915,
      0.098533267862853,
      0.098740757589682,
      0.081013436034613,
      0.0681975622880146,
      0.0707191843004128,
      0.0728669505153234,
      0.0650808597602244,
      0.0600794174390617,
      0.0557612052461119,
      0.0481768543734735,
      0.0452952098705434,
      0.0489132599217585,
      0.0579785822748391,
      0.0654337016599454,
      0.0625715614897974,
      0.0562183929015858,
      0.0469657721307217,
      0.0343246140249079,
      0.00493176947706743,
      0.0375518954880021,
      0.109456800321979,
      0.184692795986862,
      0.185683553773294,
      0.166383477543528,
      0.171206778255033,
      0.175721052974862,
      0.177477403913331,
      0.221300773564938,
      0.261952810511851,
      0.238987736031142,
      0.183116289715651,
      0.140688616177057,
      0.137792250431474,
      0.153113838296849,
      0.142888397481474,
      0.111017970339607,
      0.0860102753525575,
      0.0709017824367629,
      0.0702341579994602,
      0.071349130521316,
      0.067349225668526,
      0.067098318872855,
      0.0700353888006564,
      0.071975334490427,
      0.0823516293394877,
      0.105789107846969,
      0.129249471735079,
      0.131399723783657,
      0.126302520543031,
      0.118790028214812,
      0.148796458145396,
      0.182468505206867,
      0.154343640549369,
      0.122058785527073,
      0.138033267041315,
      0.147294687539245,
      0.14418625493253,
      0.161600074342098,
      0.186907199788228,
      0.200054081965079,
      0.188958268713789,
      0.167359651809959,
      0.153581224041786,
      0.13763477236182,
      0.12250440414514,
      0.145902099837861,
      0.171184564094047,
      0.162003342809451,
      0.182940334282057,
      0.21204221389584,
      0.177104093525224,
      0.152410649506006,
      0.16125570599344,
      0.161726230521904,
      0.155684186439863,
      0.182101152151626,
      0.174370868868573,
      0.134145856184707,
      0.120274259135724,
      0.136062934311984,
      0.140052222325391,
      0.118863161555335,
      0.10593156030402,
      0.127756061527015,
      0.154566747511433,
      0.159063658899706,
      0.152948441047441,
      0.133007666196278,
      0.137957925164814,
      0.166448392196469,
      0.17107837470778,
      0.162964098400543,
      0.155828717539752,
      0.128491578766564,
      0.10362758316648,
      0.110610810356198,
      0.156623010116021,
      0.193858618606459,
      0.178495870154718,
      0.140562711111657,
      0.12432403352445,
      0.113990771093101,
      0.0958466905527139,
      0.0753960188702176,
      0.0656760566016372,
      0.0684438314385709,
      0.077183263605277,
      0.0794481415767791,
      0.0742835971715496,
      0.0736847236459927,
      0.0767392571853924,
      0.0839468669380992,
      0.102953550410513,
      0.131646727004165,
      0.138374234179817,
      0.127473475044256,
      0.121234206135047,
      0.114124441906134,
      0.115187209686205,
      0.114068444126687,
      0.117360252244906,
      0.12126525845142,
      0.124491735008635,
      0.134601536437261,
      0.171702592774717,
      0.194286074005709,
      0.175409872137551,
      0.14112161953172,
      0.120104639763101,
      0.131297436760541,
      0.149665424698651,
      0.143658681752202,
      0.131694720186589,
      0.134086671219816,
      0.137939336343099,
      0.151980655985663,
      0.179116781557472,
      0.183955110271382,
      0.157224835067113,
      0.135731779429762,
      0.130041240453991,
      0.139555718424394,
      0.163566308814799,
      0.175523254654265,
      0.164426815095516,
      0.147693350619929,
      0.140307425320141,
      0.145855341732528,
      0.13966070626444,
      0.11385896401906,
      0.121203818935697,
      0.158877635346812,
      0.169074932190699,
      0.150374442397869,
      0.131205370348048,
      0.124012178577845,
      0.150920648753372,
      0.17614130440712,
      0.170991714397729,
      0.166116268951085,
      0.150641587875053,
      0.114407687645412,
      0.100313840242199,
      0.130998191167385,
      0.184214086620043,
      0.196767523025208,
      0.156454750626204,
      0.127660803352127,
      0.116066832497942,
      0.108164644721155,
      0.10920686284617,
      0.13288410002704,
      0.150370836624672,
      0.150331949125044,
      0.140708480144806,
      0.128860227600659,
      0.128084523345165,
      0.119689975955959,
      0.101365495579656,
      0.0997236018632955,
      0.114460175790779,
      0.12793924024563,
      0.133301225460536,
      0.127994903451482,
      0.113844449017182,
      0.119980788799112,
      0.134569403911599,
      0.120837348087036,
      0.0972032468524996,
      0.0903125738952666,
      0.0868679158151355,
      0.0840341398384099,
      0.095129519230093,
      0.108322643004804,
      0.114215058892589,
      0.134568369686294,
      0.142972724095328,
      0.110691066871514,
      0.0814835826640785,
      0.0804802028154761,
      0.0917923824283808,
      0.0962705767783983,
      0.0790396526994265,
      0.0665909591904682,
      0.0692539840894387,
      0.0707832777493316,
      0.0636949356108792,
      0.0585243005343833,
      0.0532299467138908,
      0.046400868843537,
      0.0446250148194213,
      0.0493949757354365,
      0.0595433123888742,
      0.0666849782747333,
      0.0632641715691071,
      0.0570907630667844,
      0.0474110132708768,
      0.0345923978113309,
      0.00485162486381486,
      0.0379680528529718,
      0.108803878427886,
      0.175916228935354,
      0.176990724948823,
      0.173626292995308,
      0.192471288417575,
      0.190059785785855,
      0.171235359887954,
      0.201737745576627,
      0.237744151341413,
      0.223235710075059,
      0.176455778875568,
      0.137550283872732,
      0.140156771731174,
      0.161504194907338,
      0.148014724659618,
      0.112113000050381,
      0.0865511853190919,
      0.0754939338369078,
      0.0821243172583885,
      0.0892419905114556,
      0.0835250139874065,
      0.0802348199354058,
      0.0808853355001266,
      0.0824417836471233,
      0.0941561486700605,
      0.120338630271946,
      0.144377254775235,
      0.149023300989673,
      0.144715479746324,
      0.131666788066917,
      0.136796402773568,
      0.150334436351251,
      0.137054645135107,
      0.134028486942204,
      0.154644205061627,
      0.147779983545004,
      0.128494704076648,
      0.140811048968869,
      0.168582082813212,
      0.178521547863721,
      0.159274821514256,
      0.135838210180298,
      0.134114712160435,
      0.136743325778617,
      0.129822714097033,
      0.153746424303365,
      0.18575936979835,
      0.174677382545299,
      0.200119228782049,
      0.241003722869319,
      0.203746672175112,
      0.172219391308246,
      0.172784405046669,
      0.160935075131974,
      0.144364524180543,
      0.166392270922824,
      0.161287501611577,
      0.127746035061922,
      0.114052358619097,
      0.129600319860459,
      0.143270952469762,
      0.135627577114454,
      0.120580577819028,
      0.134040417338889,
      0.157048041516747,
      0.166009158841425,
      0.17211631290422,
      0.151803714865988,
      0.149731596308558,
      0.172604582399006,
      0.17014397469169,
      0.158669929839618,
      0.153090325727161,
      0.129281260924462,
      0.111083845124081,
      0.12001757767445,
      0.158148484905832,
      0.188301918101562,
      0.175308720683036,
      0.149147473265622,
      0.1427865592494,
      0.132064709330811,
      0.108753688580873,
      0.087664300295944,
      0.0794311399309388,
      0.0830001783550189,
      0.0901559917010922,
      0.0893243459420154,
      0.0849464190928314,
      0.0850733713287139,
      0.0844709882310822,
      0.0884829457490574,
      0.112379762993269,
      0.147436855607613,
      0.153361529563423,
      0.13935897755994,
      0.130212549775603,
      0.117633874500021,
      0.119703217528569,
      0.120575694038337,
      0.136073246510847,
      0.148950474437923,
      0.141661738502083,
      0.137386309608327,
      0.175842256845426,
      0.206505257420788,
      0.173033460528374,
      0.125854655507927,
      0.119419129967744,
      0.138686898946751,
      0.160100590775716,
      0.166132275958982,
      0.150909014450582,
      0.129888453202968,
      0.12500460234669,
      0.134095977590454,
      0.150353595276748,
      0.179420154063907,
      0.187580113986558,
      0.158052644816424,
      0.123160937851087,
      0.120116424081286,
      0.145258211663912,
      0.15875892092322,
      0.15775967956127,
      0.153510883987473,
      0.150164844742887,
      0.157010028268295,
      0.158414913871458,
      0.134519609208015,
      0.132437110273088,
      0.160175525898044,
      0.164907357223219,
      0.153984348251933,
      0.142186778444442,
      0.133876529167043,
      0.155397679840267,
      0.173745726033698,
      0.165651658706404,
      0.161092052280407,
      0.147314545392832,
      0.118399617742449,
      0.111552326712408,
      0.137888272446917,
      0.183353831926468,
      0.194031505584803,
      0.161110085507176,
      0.143672539373592,
      0.136692143102371,
      0.12482163893873,
      0.120260877824787,
      0.142025804913586,
      0.163806117043556,
      0.166657755791193,
      0.15580373841569,
      0.139867641909835,
      0.133073908715646,
      0.121204850885078,
      0.106873641170439,
      0.110033001734152,
      0.126616679273753,
      0.140416349789449,
      0.148854129074769,
      0.145013322244082,
      0.125152997885636,
      0.121721286197756,
      0.135202333891573,
      0.127372106942488,
      0.108930021379466,
      0.101216565615472,
      0.0978252533882825,
      0.0973487525706586,
      0.102823960369428,
      0.105392879462751,
      0.10654370638219,
      0.115886839527804,
      0.121909897638113,
      0.104423753385413,
      0.0836854371431055,
      0.0828099968296511,
      0.0976876671285539,
      0.106467745800735,
      0.0915131708914151,
      0.080297857487582,
      0.0856640065691985,
      0.0886615965036912,
      0.0813528834414934,
      0.0752565957114078,
      0.0680450694960206,
      0.0577391284094465,
      0.0542890846901323,
      0.0603717350883172,
      0.073916058173688,
      0.081498282323268,
      0.078764934583118,
      0.0747015351373718,
      0.062489524511382,
      0.0434547862456254,
      0.00493196022918135,
      0.0390689699401801,
      0.108994682534556,
      0.172098660478783,
      0.176594400336472,
      0.181035008179442,
      0.207046478125519,
      0.205035231344597,
      0.175898247590585,
      0.195544269243607,
      0.229039714005493,
      0.216197396275813,
      0.17645605849978,
      0.139521796738809,
      0.141017876552604,
      0.166026661884016,
      0.155608914927438,
      0.11656639570426,
      0.0930989477470843,
      0.0980478915338557,
      0.120103641292704,
      0.135548480493952,
      0.129308535880042,
      0.122691298822814,
      0.116214272328148,
      0.110660559687866,
      0.119332275621724,
      0.154436242774075,
      0.190700011405909,
      0.201254274005666,
      0.195820518273408,
      0.181580511666179,
      0.167071064535104,
      0.154623393595103,
      0.143103223295979,
      0.15058260238083,
      0.174243092129176,
      0.172299852725573,
      0.150455176176034,
      0.147526730741939,
      0.164523236810701,
      0.17338487535209,
      0.162089714183311,
      0.13690897150759,
      0.123301222868067,
      0.128600616685753,
      0.137552528597135,
      0.158628439091562,
      0.180092779389448,
      0.17193885910685,
      0.206663677258773,
      0.252188905118225,
      0.211276241943178,
      0.174693558812522,
      0.177837527858812,
      0.172636813830229,
      0.160943153405559,
      0.163741925292006,
      0.1431084899436,
      0.11907529123527,
      0.119233085627907,
      0.138953440778223,
      0.152671241665634,
      0.153430181863108,
      0.148775422618827,
      0.163530315556809,
      0.178156166120746,
      0.180022215991492,
      0.188260103828349,
      0.163883427602675,
      0.148332367133871,
      0.164689325780782,
      0.167665504736601,
      0.15986559056441,
      0.157886598407674,
      0.148118377886066,
      0.14260929399467,
      0.148955511912802,
      0.164278199913908,
      0.180158514181743,
      0.178651510074077,
      0.163857122033742,
      0.157072626230893,
      0.150763613448124,
      0.142997771410475,
      0.124474530811764,
      0.10963242070193,
      0.113488576420219,
      0.126486165364709,
      0.127802551575472,
      0.122352823480059,
      0.116974174170293,
      0.109436399018044,
      0.109463490154522,
      0.138169572223613,
      0.182516798369752,
      0.196862515606666,
      0.185237475898967,
      0.175038877758682,
      0.159615206199259,
      0.140580276329868,
      0.128762422195389,
      0.140899495608461,
      0.145959949591608,
      0.126829370576427,
      0.118875043090657,
      0.153359739277203,
      0.192989533603701,
      0.179074611869673,
      0.139487706172162,
      0.120445301214779,
      0.112129999069778,
      0.122304033644216,
      0.142428835732323,
      0.155226097327544,
      0.161007606407541,
      0.159420347759374,
      0.147828122867102,
      0.152138152299415,
      0.165435732309082,
      0.172863979720853,
      0.157717662275939,
      0.1352076891198,
      0.134931531524885,
      0.15597516998021,
      0.173690580313037,
      0.17874740528759,
      0.172403203217652,
      0.167572396155393,
      0.1720769785598,
      0.174077758700768,
      0.156471360106559,
      0.153121706999248,
      0.173970223477313,
      0.179015914563921,
      0.185709125890862,
      0.174442563732868,
      0.146529591769513,
      0.151068979669583,
      0.166880348278923,
      0.162626494371768,
      0.161479198121712,
      0.158167552015215,
      0.145135380062621,
      0.145376178437272,
      0.157236248872509,
      0.177419942708959,
      0.187225193814001,
      0.171900776234485,
      0.159090721840489,
      0.15286120531769,
      0.143752929002474,
      0.142048770668533,
      0.166186032053145,
      0.19691065135629,
      0.205978938611081,
      0.195952523721084,
      0.182585711205609,
      0.176899452748265,
      0.159214231732381,
      0.139496665168653,
      0.14176965026943,
      0.16552949781542,
      0.187318008547204,
      0.19957752704612,
      0.196567874711069,
      0.178608403160324,
      0.162994384389897,
      0.15427179937691,
      0.142606792528899,
      0.137644587915413,
      0.128260505090475,
      0.116680239124575,
      0.121705922954749,
      0.131417121811132,
      0.125520214647514,
      0.118907320056941,
      0.127887156922536,
      0.144088614470808,
      0.140404355497971,
      0.11546515249474,
      0.104719218071414,
      0.119782301481236,
      0.135380506403027,
      0.122504679686398,
      0.11083104499611,
      0.119831614985498,
      0.128260324378344,
      0.126884822968481,
      0.125569469081486,
      0.119433181739008,
      0.100111771592502,
      0.0859295972947673,
      0.0905304461952276,
      0.114339106254486,
      0.127420044686568,
      0.123652476547199,
      0.115789755268557,
      0.092670656642869,
      0.0596713800614951,
      0.00496189225071278,
      0.0400156160685455,
      0.108523410592331,
      0.164436253397875,
      0.167635683930243,
      0.173634009046803,
      0.20261377027842,
      0.207420869565349,
      0.178745021877675,
      0.18947231823662,
      0.220169354726741,
      0.201212703052846,
      0.167832352879281,
      0.143643588410461,
      0.161224056951091,
      0.195138711077296,
      0.17614419614678,
      0.121774579109558,
      0.101607667039317,
      0.137597234106147,
      0.192490216877486,
      0.222187474997871,
      0.213320836687577,
      0.200074601239137,
      0.182610464413818,
      0.164871286021632,
      0.166721970693626,
      0.211627849740432,
      0.26274801414527,
      0.275329538046515,
      0.272764022344738,
      0.271901997155219,
      0.249737312504803,
      0.204810790472115,
      0.173585068332801,
      0.170075416461394,
      0.187131567613736,
      0.194786102610683,
      0.191473671865255,
      0.193370670850576,
      0.198018696130561,
      0.196043375044032,
      0.193750026514846,
      0.171272262870035,
      0.143975535697903,
      0.135784949354073,
      0.150273411495217,
      0.18816242948872,
      0.215361741217044,
      0.204737442106621,
      0.236339237954461,
      0.267457024927582,
      0.224472616323077,
      0.189923893361224,
      0.193388757430947,
      0.206347206282033,
      0.222116726937287,
      0.222993069417385,
      0.177786245273306,
      0.139272424669311,
      0.143543702633376,
      0.176921650501227,
      0.195610075959266,
      0.196298647221077,
      0.198402926194205,
      0.21648810112694,
      0.225032092819134,
      0.229991414228631,
      0.237031686303685,
      0.197014790323442,
      0.174645518760279,
      0.200709550903271,
      0.212830442796387,
      0.200137419008232,
      0.199583941795959,
      0.205213294126519,
      0.209469556756699,
      0.2084664252543,
      0.200156182025593,
      0.20458941816213,
      0.217770047801739,
      0.207181883961489,
      0.194974034926024,
      0.200604404791891,
      0.220616409193935,
      0.198935561236574,
      0.166089529939456,
      0.174504395282534,
      0.206862685721443,
      0.212230526221587,
      0.200781714285842,
      0.188749403133572,
      0.169667221044159,
      0.158767905134546,
      0.189956836194211,
      0.244736973102727,
      0.266920453035655,
      0.261860528911613,
      0.26211151261375,
      0.251576490736149,
      0.204047829390772,
      0.175989005505319,
      0.19242328713934,
      0.189892494318735,
      0.159845631168082,
      0.149691686562242,
      0.169124262905201,
      0.198821770447649,
      0.219927870239166,
      0.211108425049524,
      0.170700595306835,
      0.140549140267183,
      0.1457349238128,
      0.151136117253652,
      0.159036352792914,
      0.187297952333004,
      0.199953777189946,
      0.19757911559559,
      0.216145284180848,
      0.210793956147849,
      0.189625957338745,
      0.172468154994909,
      0.162673406965848,
      0.174168693528211,
      0.207438542408132,
      0.240644518939338,
      0.241708078913116,
      0.212544045142043,
      0.198285945890184,
      0.209880196306922,
      0.214066570592643,
      0.19745401793863,
      0.196108790947783,
      0.216985211377498,
      0.237642209403732,
      0.270461413798239,
      0.244152011592835,
      0.186774936461372,
      0.184231143319728,
      0.212078643582661,
      0.210569040407314,
      0.203527441479488,
      0.207395108208308,
      0.209332432400685,
      0.213086650576154,
      0.209721902392927,
      0.207557326480859,
      0.219166659459011,
      0.215353015854082,
      0.196897829026219,
      0.186777741286599,
      0.179925688343201,
      0.181550888137417,
      0.214743649793252,
      0.258084346260575,
      0.273820999690746,
      0.266225552909853,
      0.256096589874918,
      0.253671668633094,
      0.233131728976364,
      0.20272569141207,
      0.197209459227983,
      0.229586074372402,
      0.26234012568874,
      0.272940008385863,
      0.272834870749974,
      0.272405382070382,
      0.252010817427829,
      0.207132950371162,
      0.180697309615357,
      0.198713417856879,
      0.199521479362886,
      0.176268547056638,
      0.178524929549046,
      0.197811026688374,
      0.195123811287702,
      0.178628628755348,
      0.188214575854549,
      0.22727724773049,
      0.236845023856443,
      0.189249787277628,
      0.158291612840101,
      0.183094248976074,
      0.216284251928877,
      0.192374462879819,
      0.171778489426893,
      0.196692281025963,
      0.216450136953098,
      0.215949540416119,
      0.220656995073655,
      0.217071671495131,
      0.181577576795328,
      0.149358168520349,
      0.152571772189777,
      0.194505099929904,
      0.217547654307272,
      0.208890234856484,
      0.193721661790829,
      0.152098273871385,
      0.0924686928362578,
      0.00483795019771955,
      0.040610694664917,
      0.109017710934736,
      0.157694164982,
      0.153746955948516,
      0.152194007276099,
      0.173062698658139,
      0.183033431360124,
      0.169189420328676,
      0.188325285447991,
      0.219379588992506,
      0.191030409802474,
      0.157800066646105,
      0.148180408932569,
      0.189074625331511,
      0.230720392016677,
      0.19687124444145,
      0.133805716547911,
      0.120460513398362,
      0.193125353979095,
      0.289766694633201,
      0.306790878501797,
      0.284852760377706,
      0.290025357360118,
      0.27391937985264,
      0.236039708780361,
      0.237978110549601,
      0.296035524909119,
      0.341712219648095,
      0.325861963050784,
      0.316402127669166,
      0.312166402917125,
      0.28602629732807,
      0.243344072304382,
      0.211779807229727,
      0.199511181044764,
      0.202197521388886,
      0.203624955593954,
      0.206231569726105,
      0.214370217899024,
      0.215700791799244,
      0.215558669791458,
      0.222680478551582,
      0.208663783916082,
      0.18779742646982,
      0.175569203508131,
      0.183347470109147,
      0.230939636789079,
      0.260083918467526,
      0.23873163656485,
      0.25899277703908,
      0.276198213835013,
      0.236910965475973,
      0.203244662345308,
      0.200432573131708,
      0.230113984185134,
      0.279092808869102,
      0.285367171314633,
      0.218170142718638,
      0.169130008875154,
      0.172851669896653,
      0.207102776512772,
      0.231024043139662,
      0.233390690124377,
      0.23551677529402,
      0.260800722646083,
      0.285681649656277,
      0.292482317433007,
      0.274064377202193,
      0.217258078555991,
      0.206838732659246,
      0.253958560970849,
      0.271685513380404,
      0.24709271355213,
      0.244666724586737,
      0.263542688640098,
      0.278696332741841,
      0.275489232615258,
      0.254677625125266,
      0.255465108078434,
      0.267505635972045,
      0.24335235683337,
      0.228941444482249,
      0.258399752969883,
      0.305827988035644,
      0.278132655325551,
      0.219796294465318,
      0.233599923019114,
      0.296922101436624,
      0.308820886713004,
      0.27918820378565,
      0.264828582366747,
      0.247229685497589,
      0.233554971279476,
      0.262026290244859,
      0.322432718604836,
      0.337692659065347,
      0.315467842098842,
      0.314104227279989,
      0.302788280007977,
      0.245357636304676,
      0.223270600020935,
      0.254311629057243,
      0.238366608223009,
      0.193265904744408,
      0.188139392751035,
      0.208000073484832,
      0.230120169894767,
      0.264495502100708,
      0.258851450446083,
      0.19879199604199,
      0.171531695943895,
      0.203736662824174,
      0.210799447694033,
      0.186055264143167,
      0.199567211546572,
      0.216474893616783,
      0.233730903623076,
      0.264384137171932,
      0.246059196115782,
      0.208321303349375,
      0.194145455402856,
      0.197908669547333,
      0.227999132061217,
      0.267096887322736,
      0.280622490920025,
      0.266512061693352,
      0.238133575853948,
      0.230181415821193,
      0.249901393905914,
      0.250319963706155,
      0.228734200038815,
      0.240542620485639,
      0.277854933006499,
      0.303853109632367,
      0.329686996173748,
      0.283510239891783,
      0.214551716610678,
      0.230020051735002,
      0.277289904700731,
      0.26380269890506,
      0.241520803528869,
      0.255661639525578,
      0.267183061285354,
      0.268003226488387,
      0.261215812131127,
      0.256930860023575,
      0.267300543684355,
      0.258790294268177,
      0.232036356078597,
      0.219571976902207,
      0.218860429923626,
      0.22887320545059,
      0.267592764705716,
      0.308663255383946,
      0.322699478686241,
      0.309350929295088,
      0.300387150112923,
      0.311865274023634,
      0.299425354362142,
      0.258707548424423,
      0.253477626324957,
      0.299620663489605,
      0.332564278537878,
      0.325633738179369,
      0.319565401335976,
      0.312583377437238,
      0.288112347639079,
      0.248484361817038,
      0.232548802573836,
      0.263072330834789,
      0.260702147390497,
      0.228703767140467,
      0.23912845992406,
      0.293157119397758,
      0.31090520942917,
      0.272310971532739,
      0.273293390099902,
      0.317858971383157,
      0.293165477219893,
      0.218975210288809,
      0.207858332713348,
      0.274824730068028,
      0.319411894320658,
      0.268178892224568,
      0.246207548108595,
      0.302636357270096,
      0.326067524484546,
      0.303389657909198,
      0.304519979864554,
      0.312323992437994,
      0.275269113776951,
      0.227924693326257,
      0.24371895921837,
      0.3145933577595,
      0.326808944130408,
      0.294673638389384,
      0.292847754381827,
      0.250038639039097,
      0.152640991703245,
      0.00437798196842162,
      0.0392398365836231,
      0.106983014310923,
      0.1526146331789,
      0.143579448340057,
      0.13322074289203,
      0.143227111567471,
      0.154996759100015,
      0.155625937790727,
      0.183533328617163,
      0.214951199748127,
      0.188480548528541,
      0.151703845406767,
      0.143455818466344,
      0.182442955805553,
      0.21884504177471,
      0.198076407029048,
      0.160273080847763,
      0.129052011319114,
      0.141216725055486,
      0.201270062062494,
      0.223270190426049,
      0.203450853354319,
      0.201641075845678,
      0.209506803046894,
      0.203142813161304,
      0.212555521327484,
      0.252046377401892,
      0.284027736741599,
      0.259280118893271,
      0.239670660299336,
      0.225495790585007,
      0.209936509301199,
      0.189499005632304,
      0.176359458010156,
      0.18005778357142,
      0.186059287681936,
      0.174885047508033,
      0.168308967269025,
      0.179240806164678,
      0.185078782097156,
      0.189434262020759,
      0.203721923411839,
      0.195775098536302,
      0.174138776895764,
      0.160921036277563,
      0.161125941894244,
      0.193993036033477,
      0.221747772391384,
      0.209335621684408,
      0.220703300412027,
      0.231374925013889,
      0.195719255601384,
      0.168653404451704,
      0.169856722510072,
      0.191534721007108,
      0.226690083895825,
      0.234413090004718,
      0.187387067395801,
      0.146165203277035,
      0.142280494340688,
      0.169368846274243,
      0.193531110273443,
      0.190456240932643,
      0.190821117789612,
      0.226756208943726,
      0.260536708370235,
      0.250587414649608,
      0.216144900568494,
      0.163404047564382,
      0.155509118142179,
      0.195710362521757,
      0.209423673710105,
      0.191281863342151,
      0.195158699182182,
      0.205205738713346,
      0.208177106789618,
      0.211908324583969,
      0.208550713479921,
      0.206485522935154,
      0.201935043148105,
      0.186816384882136,
      0.185947076744983,
      0.213590172800406,
      0.250488735655751,
      0.224600901061663,
      0.167690611665671,
      0.171288970066866,
      0.212051314695118,
      0.216318956891142,
      0.202454667352482,
      0.201726471842716,
      0.191868079829834,
      0.192660966335993,
      0.230683845062844,
      0.280168851257635,
      0.269908097185478,
      0.242384872740572,
      0.229071382726606,
      0.208479014571559,
      0.179650331771238,
      0.164288802153899,
      0.176707870601977,
      0.17013684810634,
      0.147395284460845,
      0.150558562750657,
      0.183290258617691,
      0.21000410646845,
      0.214027783993246,
      0.186748879567583,
      0.147242964367458,
      0.137463802368222,
      0.162586256333027,
      0.175123805191686,
      0.159814158012785,
      0.164487065016264,
      0.176661844900633,
      0.195778731727129,
      0.218454214364388,
      0.198267076731934,
      0.164997375758879,
      0.157898213286412,
      0.165120887298193,
      0.19714752367314,
      0.236933547497588,
      0.2341537098375,
      0.207989519462505,
      0.193285418208891,
      0.187610687327998,
      0.194902512202984,
      0.195053127706814,
      0.177452729053583,
      0.189995164032827,
      0.2337181707893,
      0.256357150009401,
      0.247544509785943,
      0.202160510689985,
      0.156864831581949,
      0.170685247006642,
      0.20476323229319,
      0.201181721326117,
      0.194021741545289,
      0.205664081016785,
      0.207891071925072,
      0.209500030381762,
      0.210515588745942,
      0.211640707042388,
      0.215615719656357,
      0.201434445802262,
      0.184345642508605,
      0.185291923422161,
      0.195445574963562,
      0.214280063954752,
      0.245306729108227,
      0.2662299902362,
      0.261927925426225,
      0.240981529763593,
      0.233105836630008,
      0.2372976154608,
      0.230785994288675,
      0.210096765155754,
      0.214525917288658,
      0.24893958075065,
      0.272839747901584,
      0.260002776199018,
      0.241666613820277,
      0.22293671045453,
      0.207742229186389,
      0.192066877305655,
      0.181824179101503,
      0.183547234787559,
      0.166526385276587,
      0.145927745440745,
      0.159264812576295,
      0.19191841875807,
      0.204688740923202,
      0.200532707606089,
      0.212787724043709,
      0.224028519670199,
      0.194044421264835,
      0.15707316428449,
      0.161314318318719,
      0.202892624162106,
      0.219229651052033,
      0.178478558292353,
      0.170372984028078,
      0.219447113599753,
      0.230849771244689,
      0.201858535511337,
      0.204939926244524,
      0.200978677026411,
      0.173804162087434,
      0.157159874638321,
      0.172511511817705,
      0.209493100608844,
      0.22342465854893,
      0.20973403703662,
      0.20466361731982,
      0.175770099470956,
      0.112812011415124,
      0.00384915464632305,
      0.0367114602626511,
      0.102276319877448,
      0.150321607074504,
      0.144784748373503,
      0.12742217163946,
      0.129397506779045,
      0.145406623628101,
      0.154865247640885,
      0.180249999445299,
      0.206188116858866,
      0.187581345056732,
      0.154625511629086,
      0.139093023857437,
      0.158626284991434,
      0.187900276102202,
      0.193829870724059,
      0.181608408672803,
      0.138703470839629,
      0.109788281071887,
      0.11897679124793,
      0.125192198419791,
      0.117083857965084,
      0.119059693309523,
      0.12636610819358,
      0.126618972517531,
      0.138678205331072,
      0.16868155479183,
      0.190260489021771,
      0.178775119151055,
      0.169022550064569,
      0.154742855512013,
      0.144697499632994,
      0.137291765454073,
      0.125090014541672,
      0.126743304384731,
      0.144616092578835,
      0.144054589711836,
      0.136990483688024,
      0.15135241970081,
      0.164044554429053,
      0.162720054269566,
      0.168798943897541,
      0.163906935065411,
      0.146752581789122,
      0.137343175526798,
      0.13478871548541,
      0.158883667312149,
      0.195645153108235,
      0.189783885209707,
      0.19630357090324,
      0.206320170582776,
      0.165751223472732,
      0.14434690713615,
      0.156714455536271,
      0.163819200735691,
      0.170873279405722,
      0.187379830062767,
      0.165367603768847,
      0.135892235351517,
      0.133707823499466,
      0.150074183464207,
      0.157889112488722,
      0.146097573762244,
      0.141822320432426,
      0.174985428464721,
      0.201935143903741,
      0.175812438494411,
      0.145852329428283,
      0.115017381555914,
      0.103026431203382,
      0.117344836562293,
      0.129794960009557,
      0.138591847541095,
      0.149747744417114,
      0.149010123106592,
      0.149221143586346,
      0.154651296630851,
      0.151341031044572,
      0.144736854987042,
      0.138955063275122,
      0.143573567100907,
      0.156015166939788,
      0.168888330187364,
      0.189175702106581,
      0.172774622904025,
      0.121833148170891,
      0.102632006632439,
      0.116098873933359,
      0.122076354787688,
      0.119626274386578,
      0.122870431379347,
      0.123032676431296,
      0.126670479093316,
      0.149748303085481,
      0.182809194851924,
      0.18172355880648,
      0.170204245832905,
      0.161831611459202,
      0.143925964207531,
      0.126783534238437,
      0.115168454029841,
      0.11777431404821,
      0.125275809247349,
      0.122476943713951,
      0.117182327260141,
      0.136866286875163,
      0.165872931098808,
      0.167606260671131,
      0.155352982305483,
      0.136056929822199,
      0.110334764545566,
      0.1026882390195,
      0.114937996943618,
      0.119836561848215,
      0.129724616739835,
      0.149072155161278,
      0.160541365804312,
      0.159736888784917,
      0.139858102753685,
      0.117237830323432,
      0.111133308871139,
      0.118325500291295,
      0.150644449359755,
      0.192030794701129,
      0.192210911979813,
      0.16878642677103,
      0.157092206359333,
      0.151330562452015,
      0.151076493127546,
      0.149100442229885,
      0.133961970504484,
      0.142853392385823,
      0.176273002232058,
      0.181305300134879,
      0.164104909524107,
      0.138599546225559,
      0.1084820547784,
      0.107466201453219,
      0.124177231004498,
      0.135436830646686,
      0.147901306700614,
      0.153647470080787,
      0.146742592352811,
      0.150271981613973,
      0.154248152580063,
      0.151433131303361,
      0.146679326715168,
      0.141570293750533,
      0.147276975682568,
      0.156117706939112,
      0.162114420011944,
      0.179847612931374,
      0.199511954203624,
      0.200388441401803,
      0.186140943225754,
      0.170474083055346,
      0.162295910808474,
      0.16225362370387,
      0.154550033840763,
      0.141218990386474,
      0.149060409725289,
      0.171620538046297,
      0.182351600508013,
      0.177128532712692,
      0.168174706699839,
      0.149619608315045,
      0.136765826489799,
      0.128213856780999,
      0.114038416838478,
      0.106530474535015,
      0.101332008660523,
      0.0904962228522906,
      0.0898398023618892,
      0.108001355334649,
      0.124115917990938,
      0.132707577464234,
      0.14424700088182,
      0.145871030076154,
      0.128995749705335,
      0.11128649840568,
      0.106319763831122,
      0.115637052438816,
      0.119988798425151,
      0.103982486840175,
      0.102412649808935,
      0.126457038611709,
      0.134187386363438,
      0.11896364054104,
      0.11468207287114,
      0.110894748157224,
      0.0957275256557057,
      0.0844838826077331,
      0.0907252552926609,
      0.112787754771951,
      0.129129464216302,
      0.125582256006709,
      0.119608596445715,
      0.104167018946092,
      0.072810462513091,
      0.00325462950534933,
      0.0337009145923245,
      0.0971856271288143,
      0.155298233436381,
      0.161551162259191,
      0.136667257766986,
      0.127116545061973,
      0.144556377112962,
      0.159262568632627,
      0.18034728094925,
      0.199711278904138,
      0.187220413042413,
      0.159003947402995,
      0.135490951858093,
      0.138209198195906,
      0.168153386280648,
      0.196393863296242,
      0.182807708797045,
      0.132628218025575,
      0.0955828336501329,
      0.0819335431984262,
      0.0782889115364946,
      0.0745923605158872,
      0.0776160672003346,
      0.0827062769095504,
      0.0825935772825569,
      0.0889721900499987,
      0.111390315597836,
      0.135117885350905,
      0.138426558500259,
      0.130794021776106,
      0.116285637245924,
      0.108359920835266,
      0.107816098341107,
      0.0988241470695039,
      0.103029418232832,
      0.141468018758682,
      0.155841765386302,
      0.137045816611127,
      0.141723071572914,
      0.160118082559113,
      0.164651797580062,
      0.158769340359771,
      0.146712452912943,
      0.13808593002755,
      0.140254698024661,
      0.146220195182566,
      0.174922234730277,
      0.203619832707031,
      0.179994768485192,
      0.184775725727032,
      0.198430875298804,
      0.157638372761621,
      0.138680268383646,
      0.153057932931481,
      0.156130196486432,
      0.161181272361808,
      0.180371986086089,
      0.153692548846969,
      0.122535133835842,
      0.137026824791844,
      0.154564567700081,
      0.13373768611974,
      0.110111514178625,
      0.115463115119612,
      0.154735209810049,
      0.175433860268126,
      0.138477550719496,
      0.114921422486852,
      0.0992749854826967,
      0.0885398830908066,
      0.0907680430167732,
      0.0989774792568174,
      0.120504471722067,
      0.14022599943675,
      0.139929830629698,
      0.141420494758511,
      0.144597173802936,
      0.133565549299455,
      0.117443819815705,
      0.108739526504284,
      0.125493806882307,
      0.149142195632949,
      0.159113094371914,
      0.158538962084011,
      0.133760040048561,
      0.0938034850545401,
      0.0744304185061866,
      0.0752666585024245,
      0.0797761488947317,
      0.081050767903572,
      0.0860508947857917,
      0.0863976613712743,
      0.0853698674040177,
      0.10021611051809,
      0.128345812889857,
      0.135698428068967,
      0.131399301731793,
      0.123410414039087,
      0.107275231066797,
      0.0961310747038975,
      0.0917539339627707,
      0.0909198426928069,
      0.105445782235939,
      0.126785519632808,
      0.136679747524798,
      0.151229054570701,
      0.168623145826343,
      0.159849546882008,
      0.150343609257657,
      0.132622350989757,
      0.101376904906805,
      0.0816320058748152,
      0.0974152892838346,
      0.127465358247312,
      0.152706915721306,
      0.170502649470395,
      0.166012491171516,
      0.138857187710474,
      0.113912137874738,
      0.101658353789193,
      0.103268633058647,
      0.124782492060646,
      0.162360352010259,
      0.182656727274533,
      0.167254379311903,
      0.149538184369369,
      0.138607253704507,
      0.133645890034164,
      0.132947099027227,
      0.131511338393688,
      0.11946257635113,
      0.131091465054556,
      0.160346535010746,
      0.148763337223751,
      0.124343675756031,
      0.112695556808498,
      0.0947986053460649,
      0.0875286564086499,
      0.0927422819287772,
      0.11019949696515,
      0.135786681175956,
      0.14527704566914,
      0.140231912106875,
      0.144431120737399,
      0.14299546054366,
      0.130743192962854,
      0.116544610994747,
      0.115696467464335,
      0.13657567560967,
      0.150222533681918,
      0.146840427338059,
      0.153064063965087,
      0.166387968191299,
      0.164427163835929,
      0.145464590607566,
      0.13453185532746,
      0.127491236789127,
      0.124216681931478,
      0.113813985777433,
      0.101837601165712,
      0.106654462163944,
      0.122954391547529,
      0.133970780714521,
      0.13667762508243,
      0.128813310960719,
      0.110237588813023,
      0.0995631045024495,
      0.0943247980466419,
      0.0818270625058679,
      0.0802756438054802,
      0.0923223606137516,
      0.0889075496692183,
      0.0762757789599186,
      0.083978021350904,
      0.0983058752791728,
      0.101727456039242,
      0.108777692572483,
      0.119008469433584,
      0.114671248221521,
      0.0977531597435113,
      0.084262261026773,
      0.0820592101238097,
      0.0854612866351983,
      0.0789405914624975,
      0.0761297913894867,
      0.0855504500105498,
      0.0875492482070077,
      0.0788528402567669,
      0.0743158039238363,
      0.0691733548939042,
      0.0569089052400226,
      0.0488445801182253,
      0.0509482143164164,
      0.0649249277640511,
      0.0800147213439017,
      0.0813253758919204,
      0.0757115932058853,
      0.071622993888159,
      0.0616549763255189,
      0.00275381942221884,
      0.0313714970663941,
      0.0939369271385425,
      0.160953003599248,
      0.177041244616458,
      0.149590309575452,
      0.13129924549362,
      0.142971028867508,
      0.158977163238269,
      0.185701949086018,
      0.204958891783837,
      0.189047122838718,
      0.162469036552488,
      0.135229035733906,
      0.126037539170975,
      0.154739199130568,
      0.193267823069621,
      0.170662786442845,
      0.118785715497749,
      0.086325921750063,
      0.0661414345707308,
      0.0597039638664015,
      0.0588819819164999,
      0.0612386688540563,
      0.0633926810354609,
      0.0629267705508773,
      0.0682303576293938,
      0.0891196207039147,
      0.112360611010403,
      0.11813764085028,
      0.112402113326259,
      0.101361016990549,
      0.0949261400198836,
      0.0958794209304513,
      0.0904856592683322,
      0.0989189507866628,
      0.149992031531074,
      0.173336161135933,
      0.14742522583565,
      0.142523845125676,
      0.161973564591118,
      0.165939087766957,
      0.149241181629628,
      0.129834649988269,
      0.12312175019544,
      0.132467393655089,
      0.149382269069479,
      0.179686284523525,
      0.190446359357014,
      0.153967915496088,
      0.151328498841722,
      0.164192101675357,
      0.140370130029502,
      0.13637210263806,
      0.157697605004169,
      0.158461697754838,
      0.148934280692409,
      0.15162516585035,
      0.122953073505811,
      0.0974652543985024,
      0.118930725301167,
      0.141048707659462,
      0.121404542551573,
      0.100233058648101,
      0.10603995815649,
      0.139606543071393,
      0.156418037164913,
      0.125740932003669,
      0.111284506787147,
      0.0981083387738116,
      0.0841825622942855,
      0.0806648229883287,
      0.0861666661433034,
      0.109441747608315,
      0.134378168871221,
      0.143291914378872,
      0.152438592425483,
      0.154868475981872,
      0.131106366688112,
      0.102241159818395,
      0.0919890381295692,
      0.112565800860707,
      0.139404386308428,
      0.149811798662431,
      0.143637943125001,
      0.116149998946924,
      0.0813226326740067,
      0.0639449502591411,
      0.0597650750057307,
      0.0643331105773096,
      0.0665694182224682,
      0.0705955797866248,
      0.0717854608398205,
      0.0710069485228663,
      0.0831593552513782,
      0.109993346548725,
      0.121392008938859,
      0.114357974887782,
      0.104181400852194,
      0.0907925791292915,
      0.0781973646633719,
      0.0734905968062698,
      0.0747736895445676,
      0.0859718557478633,
      0.107640408578244,
      0.127681777332043,
      0.14295261717196,
      0.150818043968495,
      0.145255992909177,
      0.137205426016795,
      0.116290232852719,
      0.0958369282809645,
      0.0844810694702506,
      0.0936322596683884,
      0.127573185545319,
      0.159826807251621,
      0.163575745720418,
      0.149096511825881,
      0.133670609099456,
      0.118660744775723,
      0.110251402962312,
      0.12381286188106,
      0.154913191903164,
      0.174947722079935,
      0.16620001520311,
      0.1474738940864,
      0.137990375071694,
      0.128905751423298,
      0.12276629662455,
      0.124586466117645,
      0.12976396777241,
      0.119025158146346,
      0.127744586692498,
      0.15584573496674,
      0.141067777850254,
      0.117524708256293,
      0.110477226315307,
      0.0931601769966529,
      0.0807092097191089,
      0.0800010809979973,
      0.0952626951533749,
      0.125984178809844,
      0.14583644545648,
      0.148774520323205,
      0.154972658741229,
      0.14714378662918,
      0.119450938869214,
      0.0972430512841219,
      0.0999120933912964,
      0.12550229652658,
      0.142136996880963,
      0.137374852137187,
      0.136472135414062,
      0.148715115552786,
      0.154005021980705,
      0.1334433927439,
      0.119297314626349,
      0.110993414287392,
      0.107527808304326,
      0.0979908033622562,
      0.0872932932792409,
      0.0928657883268533,
      0.109938408446297,
      0.117852037911462,
      0.116524624580492,
      0.110047533149749,
      0.0957087920075191,
      0.0878342512550751,
      0.0826914452681789,
      0.0748440590053037,
      0.0877660620461133,
      0.109140945939441,
      0.103380533244387,
      0.0824598362053676,
      0.079157778113038,
      0.0856778508682576,
      0.0828877402489147,
      0.0865420720650119,
      0.107122941384226,
      0.11159445701236,
      0.0941998468084898,
      0.0804464793714347,
      0.0798804201614437,
      0.0847167360586364,
      0.0794158504673816,
      0.0730677902756612,
      0.0737699933984483,
      0.0679777901269555,
      0.0608695449430065,
      0.056065484134722,
      0.0512871326265787,
      0.0426290276528115,
      0.0374348503184024,
      0.0377386070214893,
      0.0465391015170182,
      0.0574195838409581,
      0.0599585461120115,
      0.0556282113030096,
      0.0518379838363101,
      0.0465865246765442,
      0.00258056446396751,
      0.0310452876033303,
      0.0944613004506099,
      0.160798466782754,
      0.172723318616405,
      0.14705578481325,
      0.132497532041115,
      0.141606647101853,
      0.158331291826786,
      0.199785512705794,
      0.225463781951233,
      0.19718822820333,
      0.167452161616109,
      0.14037387002745,
      0.12785036304841,
      0.148705641891692,
      0.172599519528176,
      0.143248544284704,
      0.0997577677474396,
      0.0763122433627418,
      0.0625712911343904,
      0.0609889117718484,
      0.0611779660326764,
      0.060166479539493,
      0.0612652519750079,
      0.0632912339202951,
      0.0709171163931123,
      0.0929070545804997,
      0.112673486649938,
      0.110741461175331,
      0.103130839212572,
      0.0955898477426989,
      0.0931657152054427,
      0.0959411911369566,
      0.0938843508891758,
      0.102372988581308,
      0.141876494654712,
      0.158985503033805,
      0.14455857112807,
      0.144877080474197,
      0.155785899272335,
      0.148786474064059,
      0.131929916000637,
      0.113841939110111,
      0.109282675679822,
      0.120722610024778,
      0.133370326980626,
      0.151712340899383,
      0.15712515975334,
      0.136126165948065,
      0.144408867980471,
      0.162332008208132,
      0.139715433235722,
      0.128453949972139,
      0.144522501110166,
      0.154979377605569,
      0.151727136015829,
      0.139356900375355,
      0.103332981567526,
      0.0825318900901284,
      0.101844347247121,
      0.123158728323085,
      0.117036368757324,
      0.108171070288068,
      0.106063991761682,
      0.123557356756361,
      0.138886477185684,
      0.120199072529029,
      0.108229788940346,
      0.0919281904398824,
      0.0768266092633457,
      0.075710467340359,
      0.0798308928600248,
      0.0925501304183711,
      0.114416293888741,
      0.137519910968559,
      0.160377533789203,
      0.163963866982099,
      0.13175512528116,
      0.0976425315137805,
      0.0904469622215113,
      0.100766037296658,
      0.115359571760087,
      0.124345119004662,
      0.124178947467567,
      0.101671142417349,
      0.0719976842380757,
      0.0597839708368822,
      0.0613869202148122,
      0.0689079850683902,
      0.0687489149058354,
      0.0675403153853683,
      0.0672414076292266,
      0.0694823627719485,
      0.0856684088290981,
      0.112722041667556,
      0.120193453415502,
      0.108675543665921,
      0.0993370381301143,
      0.0888355198819193,
      0.0781466243317891,
      0.077223643219792,
      0.0851368572123232,
      0.0861048570082349,
      0.0872655441207906,
      0.104412369993977,
      0.133409708533237,
      0.140903171027013,
      0.131849905219205,
      0.131900634823267,
      0.115344825976638,
      0.0973410699581704,
      0.0929952320007799,
      0.0938967029160713,
      0.109916036161083,
      0.133560428407597,
      0.135843780900041,
      0.131729870793236,
      0.142768889633058,
      0.136323032997829,
      0.114559229910662,
      0.117239805980636,
      0.138688397591749,
      0.149646910017696,
      0.150614667698612,
      0.152293484410411,
      0.139625528069419,
      0.123089894120431,
      0.119818610539465,
      0.125128021861388,
      0.132489938196556,
      0.118457965096118,
      0.11561422642271,
      0.139322706955808,
      0.135624029308676,
      0.120147126451886,
      0.109636393029357,
      0.0869437441993118,
      0.0741725063684231,
      0.0764250995953499,
      0.0859817359336729,
      0.104129243023319,
      0.128403393328606,
      0.148752247408617,
      0.162674308815058,
      0.148104707657204,
      0.1139433389637,
      0.0933342027470082,
      0.0936000725044886,
      0.107599096642799,
      0.12131461254346,
      0.123076473253837,
      0.124444113501011,
      0.137362442065076,
      0.149649379378349,
      0.134338179593683,
      0.117863112658973,
      0.108100963448968,
      0.104638357093296,
      0.0965889647519005,
      0.0886812844750087,
      0.0983797165682047,
      0.117138149780479,
      0.11826649472003,
      0.108566028944294,
      0.101640079570611,
      0.0894597766945398,
      0.0848407109364925,
      0.083474726953906,
      0.0771209327484068,
      0.0864167899915986,
      0.0988709389301372,
      0.0950473404638573,
      0.0838817674072239,
      0.0817502769740686,
      0.0850628121479002,
      0.083138235466856,
      0.0884742976340803,
      0.112136801745737,
      0.112057393221292,
      0.090201324477266,
      0.0822208534315399,
      0.0897965411303102,
      0.0950592701450459,
      0.0869392708272018,
      0.0779242570554372,
      0.0767081308428492,
      0.0662594956660373,
      0.0561604905089439,
      0.0528222900256284,
      0.0501058869724429,
      0.0416313773326329,
      0.0371574565242926,
      0.0385576633617592,
      0.0467117696634603,
      0.0554426808412104,
      0.0563342888365174,
      0.0510007568497848,
      0.0457401695092425,
      0.0401944322653993,
      0.00238875795873431,
      0.0308347455757924,
      0.0965489569629735,
      0.163191993263313,
      0.167880907783677,
      0.141405817220966,
      0.132089083473488,
      0.142206859646896,
      0.158840361860948,
      0.213324651039737,
      0.248287087347432,
      0.21074544439105,
      0.172558085567796,
      0.141915762402043,
      0.128728895579413,
      0.139967795887937,
      0.144714474020569,
      0.118201507380676,
      0.0877616770758938,
      0.0698683495830629,
      0.0624901159080369,
      0.0634537571924372,
      0.0610534261852896,
      0.0583737749156261,
      0.061169938405705,
      0.0660372633740901,
      0.0750378568723234,
      0.0976123004515824,
      0.117841431781648,
      0.112661196013429,
      0.101266386806469,
      0.0933335511295936,
      0.095334804030096,
      0.102771657515848,
      0.0980210106401918,
      0.0971013273542051,
      0.118337233052736,
      0.129050728927347,
      0.124160734367007,
      0.127337903558088,
      0.133765021505785,
      0.12618303076738,
      0.117633552023675,
      0.106906023262932,
      0.0969471162702887,
      0.099588546782944,
      0.108434608027106,
      0.128400373846713,
      0.141641618759259,
      0.133306313139854,
      0.152799679702423,
      0.174485588324021,
      0.146773601918137,
      0.123825962151349,
      0.132792493577055,
      0.156473534181309,
      0.17402882977923,
      0.162874034116991,
      0.115752699774224,
      0.0850466843632834,
      0.0906800520098955,
      0.108902295896137,
      0.116880642702335,
      0.114589111305151,
      0.105306636450899,
      0.11167337055619,
      0.126549439047494,
      0.121625094812219,
      0.113795721324059,
      0.0941865880938812,
      0.078297339671052,
      0.0831580794118791,
      0.090861854280536,
      0.0939861669288768,
      0.105193636802864,
      0.123902701908121,
      0.1440410025798,
      0.149801554412271,
      0.126654063832368,
      0.106023099793597,
      0.10477827828632,
      0.0995711604585506,
      0.100269188455373,
      0.106350694654513,
      0.104586018174553,
      0.0876856875613947,
      0.0689884134527171,
      0.0622911129040536,
      0.0680113551304951,
      0.0748044571482936,
      0.0710315836797491,
      0.0673128265169065,
      0.0673567709097124,
      0.0720642690084319,
      0.0905035095915566,
      0.118297231559789,
      0.12452067105492,
      0.111624593576501,
      0.103325674084823,
      0.0926607227547022,
      0.0843028336138462,
      0.0866612095365384,
      0.0947419825036849,
      0.0931880671554501,
      0.0936219796113184,
      0.110830505401399,
      0.143939918846392,
      0.146897561035008,
      0.132217735165158,
      0.144552345918348,
      0.123792958576615,
      0.0910987843271497,
      0.0946402575933047,
      0.106178982872898,
      0.106815541331871,
      0.120030273486637,
      0.133252099801862,
      0.138178639212525,
      0.153941555372195,
      0.146987330031993,
      0.117333525330236,
      0.108403964340969,
      0.11435170296599,
      0.122344709232349,
      0.139997606358181,
      0.154444637966693,
      0.138875441957261,
      0.120504137188241,
      0.118423060309893,
      0.122691409581848,
      0.127833469019558,
      0.11401645528178,
      0.107178782763375,
      0.12506648995625,
      0.13054601206035,
      0.125903356317827,
      0.113449703233249,
      0.0866626158002856,
      0.0773239056448719,
      0.0874649028337453,
      0.0936965354782372,
      0.100220672833399,
      0.118262165910921,
      0.138060136725779,
      0.152617504126118,
      0.141739473143969,
      0.117085090260552,
      0.108428007561644,
      0.104265959925816,
      0.0985745702795724,
      0.10355730825489,
      0.112180396902857,
      0.118806191342999,
      0.135289012131045,
      0.158914348280076,
      0.152945416430744,
      0.130920534043706,
      0.11601347822192,
      0.112294895194074,
      0.104896113944693,
      0.098619599006477,
      0.106825339541876,
      0.120613891753579,
      0.11908211995737,
      0.110228495501238,
      0.100310937657942,
      0.0860427409308825,
      0.0838178192826626,
      0.0908468434395637,
      0.0846161095514192,
      0.0817283440600923,
      0.0854069368527589,
      0.0837414346170584,
      0.0814324716640517,
      0.0874449908187268,
      0.0952361081253683,
      0.0979693446076523,
      0.10655773341685,
      0.126235256872224,
      0.117611708133114,
      0.0920807489321748,
      0.0897210124481046,
      0.106096192878066,
      0.110675185793923,
      0.0927849893925349,
      0.0789979419864777,
      0.0792704368944754,
      0.0714421426687255,
      0.059680774117826,
      0.0568410885253458,
      0.0523139850475844,
      0.0424958385590712,
      0.0376394305644469,
      0.0395600633701492,
      0.0497484916776972,
      0.0584546804694583,
      0.0568224187158953,
      0.0511200700283557,
      0.0455857839802844,
      0.0388437885175806,
      0.00209393052885373,
      0.0297725165043202,
      0.0978259057044912,
      0.175766274300535,
      0.1844367881692,
      0.150055638738247,
      0.133667156050902,
      0.140789732977844,
      0.153935199467562,
      0.207734391008948,
      0.246710628500549,
      0.213803400014492,
      0.169707104467165,
      0.133403800586829,
      0.119674736208064,
      0.130579263436099,
      0.132051993346184,
      0.109177713741153,
      0.0852557241279018,
      0.0703842871656398,
      0.066877701120152,
      0.0679627444684775,
      0.0624217899293051,
      0.0596183661638265,
      0.0635553243575847,
      0.0690540807034355,
      0.0781602350754777,
      0.100546633015894,
      0.120497947538774,
      0.113551568348793,
      0.101794390531395,
      0.0943024798619224,
      0.0976554209508692,
      0.108819858572369,
      0.101654581914852,
      0.0938881630768644,
      0.107808246154912,
      0.11687842147064,
      0.108415704384516,
      0.10596412063127,
      0.113983218338284,
      0.119986915582823,
      0.128189830704706,
      0.118049544227022,
      0.0965105658637894,
      0.0910412348847686,
      0.0975364136014374,
      0.115408904332939,
      0.128901030186416,
      0.122268590099497,
      0.14334657386056,
      0.16744666110534,
      0.142404377055499,
      0.117422387420489,
      0.122621560294527,
      0.146917564399133,
      0.171767191372431,
      0.173353662198538,
      0.134113661009753,
      0.0961272008199694,
      0.0864441936522647,
      0.103715638036382,
      0.118852726178995,
      0.115821956790615,
      0.106828922834445,
      0.112611075935876,
      0.128496434512415,
      0.142643296650895,
      0.141597014945362,
      0.110242626214681,
      0.0870353539685049,
      0.102024144721745,
      0.118490762614038,
      0.112711419582631,
      0.110442281889367,
      0.113290725508232,
      0.118761207035264,
      0.128086935791743,
      0.124374884306369,
      0.123071468366638,
      0.12472409407486,
      0.10439816743408,
      0.090477749259325,
      0.0988544100257656,
      0.101845420516846,
      0.0864238930908695,
      0.0713728222386857,
      0.0700866880431298,
      0.0801965842662776,
      0.0838432549978113,
      0.0766736018954405,
      0.0734303866684994,
      0.07179514065481,
      0.0757789452489771,
      0.0944998035190468,
      0.123952231067424,
      0.131850906502842,
      0.121062776296034,
      0.116830294170413,
      0.107495748805593,
      0.0953896945657384,
      0.089217728949471,
      0.0920282046806429,
      0.0919349160896873,
      0.0907800132180986,
      0.0993215013653359,
      0.126281314073949,
      0.138781563813772,
      0.14253981423722,
      0.151120454966376,
      0.116349121896727,
      0.0806689832571822,
      0.0929747180500983,
      0.111169625953743,
      0.107814368745147,
      0.116764255401869,
      0.134501390420361,
      0.145118433394475,
      0.155732644665318,
      0.142342267618022,
      0.114457572545066,
      0.10552236960421,
      0.106641763636937,
      0.115613426395564,
      0.137063695215837,
      0.153669280688965,
      0.144746634335638,
      0.126861322673768,
      0.120574926112262,
      0.126595691082349,
      0.128493080158177,
      0.115002266491798,
      0.11192045205948,
      0.125564764753831,
      0.138340462467367,
      0.145714347094155,
      0.129514800817886,
      0.0948072968882347,
      0.0912127470028502,
      0.115625590594745,
      0.120820597417691,
      0.112946989714979,
      0.116628612220991,
      0.118866831546911,
      0.123698813363067,
      0.125885731563265,
      0.124411996986514,
      0.12714750835235,
      0.114988484444173,
      0.094245995409467,
      0.0932211629158729,
      0.100937081917122,
      0.10712316945643,
      0.126002732392922,
      0.154271282814505,
      0.153288927908559,
      0.133642018861146,
      0.121600922809069,
      0.11893585227513,
      0.109860186004746,
      0.101543525964204,
      0.106114055980194,
      0.117550917413928,
      0.117625256297043,
      0.110082219471478,
      0.100092440286009,
      0.0866405785870168,
      0.0856568595960791,
      0.0952778065878901,
      0.0864777215428162,
      0.0773235707664512,
      0.0751060414807481,
      0.0744719305875359,
      0.0774097122645536,
      0.093644616908699,
      0.108018623324451,
      0.107938432234154,
      0.11163040138868,
      0.119168365697245,
      0.103977429327419,
      0.0844688751064323,
      0.0861895550848768,
      0.107197004185493,
      0.113028745177846,
      0.0865808971742826,
      0.0679423450261232,
      0.0713263031494515,
      0.0701733331619222,
      0.0643389773471296,
      0.0634349644542661,
      0.0581119726907073,
      0.0466015433566815,
      0.0394216981398862,
      0.0401971376806504,
      0.0502254085818026,
      0.0591935104875207,
      0.0576221465408467,
      0.0522608618704509,
      0.0439607901235058,
      0.0330232672834979,
      0.00185930411229945,
      0.0289678137835509,
      0.0973549746131241,
      0.178879315419852,
      0.191278857119775,
      0.156526010840692,
      0.138044150218995,
      0.139768110624742,
      0.143240786447663,
      0.187673618243731,
      0.228011172199589,
      0.205418585275265,
      0.161533495006674,
      0.125081961491948,
      0.115250932182663,
      0.134243312639344,
      0.137265703430788,
      0.104470004840287,
      0.0786726159695444,
      0.0683915628140647,
      0.0697503192234021,
      0.0733310655922243,
      0.067505738841513,
      0.0655546363624082,
      0.0693863402093122,
      0.07241224002665,
      0.0794408709084257,
      0.101794925458572,
      0.121796744355996,
      0.114069063066073,
      0.104143288528311,
      0.097664039510449,
      0.0991435922029686,
      0.108413568977278,
      0.10057079195743,
      0.0946235771087681,
      0.110772124116438,
      0.120161999632462,
      0.113643540104081,
      0.111402907461469,
      0.119637513415873,
      0.137618174894198,
      0.151914321880635,
      0.134012611049588,
      0.104393946592524,
      0.0925339094611258,
      0.0998115547342301,
      0.117347883020741,
      0.126394514264884,
      0.121738088828151,
      0.146290528388743,
      0.173689001272053,
      0.143778468465433,
      0.112708052129859,
      0.117508770111159,
      0.133113547789398,
      0.150576586101667,
      0.178398276208797,
      0.162517514887963,
      0.116068497444969,
      0.0920593647280289,
      0.108662634282287,
      0.125199586737023,
      0.118759370489819,
      0.109829793747415,
      0.120399676725612,
      0.1426203058871,
      0.167539921155566,
      0.165795403441961,
      0.124557024748947,
      0.100611464603419,
      0.128337104261493,
      0.147772426016381,
      0.134248787839768,
      0.125727672221535,
      0.114903685042494,
      0.102609494925544,
      0.108268268379515,
      0.123400621564213,
      0.137281647258818,
      0.139511910218706,
      0.11403848104941,
      0.0925671017396384,
      0.0993270594782716,
      0.100269665163559,
      0.080677591351804,
      0.0675503134185694,
      0.0725852142110449,
      0.0907325596524562,
      0.0927564677373448,
      0.07931785031343,
      0.075006873817172,
      0.0731683566203648,
      0.0775650340975202,
      0.096428396666897,
      0.125442052122778,
      0.131008643465711,
      0.122208911095099,
      0.121530639652666,
      0.113662815317912,
      0.100143526211724,
      0.0862848179676865,
      0.0883140588191556,
      0.0929976525181852,
      0.0926711981378777,
      0.0962151978296652,
      0.120418309442261,
      0.145417532351455,
      0.156129542107891,
      0.139753376183729,
      0.101952066853915,
      0.0832856760415747,
      0.0924892193856942,
      0.0989997517917895,
      0.0991886565568817,
      0.111787684410394,
      0.130268612334407,
      0.150492778798479,
      0.165283858173472,
      0.142209722617187,
      0.108761793364283,
      0.0974164100431415,
      0.100210727263959,
      0.11738666411305,
      0.145643877580086,
      0.161511732350499,
      0.151461953572887,
      0.128811341915178,
      0.118324468616008,
      0.127549873909345,
      0.126245326675536,
      0.106990107741207,
      0.109110690661808,
      0.133163309055805,
      0.154256706968075,
      0.156854722830311,
      0.132238835521043,
      0.0981977705003475,
      0.104411983926937,
      0.140085961509158,
      0.145172053460789,
      0.130739334028403,
      0.122350529621491,
      0.106009891731857,
      0.101646346429342,
      0.116125323679434,
      0.133636909272526,
      0.145499569986834,
      0.129460242218261,
      0.0988172049043691,
      0.0917369312939689,
      0.0994934078977917,
      0.103121345290781,
      0.11697761157331,
      0.14263200780123,
      0.144111650438449,
      0.12965457281002,
      0.122547732980276,
      0.122881869515355,
      0.113117059850531,
      0.100469747652975,
      0.101103575575471,
      0.114221336311218,
      0.11843503880544,
      0.1122858027076,
      0.104457084471299,
      0.0907849592461668,
      0.0870408794199172,
      0.0921367158318815,
      0.0822640601140679,
      0.0801253720123928,
      0.0795589470123505,
      0.0726883024784288,
      0.0729897123144578,
      0.0947489812325957,
      0.112013008960431,
      0.107973626308522,
      0.109432174053454,
      0.110043735020384,
      0.0952340937959202,
      0.0812097546016011,
      0.0779940825311867,
      0.0941393071907225,
      0.108805314152417,
      0.0860262498204074,
      0.0618893916682159,
      0.0665267493267225,
      0.0693174004154277,
      0.0658067185850395,
      0.0662397577575613,
      0.0652178048693262,
      0.0550310169994504,
      0.0449176750636192,
      0.0437794570684715,
      0.0527547646324816,
      0.0620133023593372,
      0.0616255837486948,
      0.0565132169864555,
      0.0457554626506453,
      0.0309798000387472,
      0.00168086290421844,
      0.027831181029638,
      0.0927668220316746,
      0.158001025397822,
      0.164029767922866,
      0.146306709022487,
      0.144093287731911,
      0.142791126380225,
      0.135144690662838,
      0.169827847482547,
      0.208198612316101,
      0.191560026501253,
      0.152277941011597,
      0.121562851813534,
      0.118131825246476,
      0.139718649815087,
      0.138325206281163,
      0.0996685865697619,
      0.0745857632382205,
      0.0685442511149571,
      0.0735732806824435,
      0.0783870800562697,
      0.0721408554709672,
      0.0705877170885914,
      0.0748333768698767,
      0.0761747236665557,
      0.0812115362639173,
      0.101955629599816,
      0.121050304482904,
      0.116102257910124,
      0.108276731761064,
      0.10169441024146,
      0.100132955928871,
      0.103144308854248,
      0.0930966532198241,
      0.083344950497208,
      0.0943273483405748,
      0.106471880908632,
      0.115880806717481,
      0.126431078283241,
      0.136137768867637,
      0.148329887277781,
      0.15424564224565,
      0.140819370415069,
      0.124620073034136,
      0.112530456963597,
      0.108947588998815,
      0.126998956309813,
      0.147220980807336,
      0.143996604056495,
      0.168559379598223,
      0.191564495412006,
      0.145709018317856,
      0.112719469392308,
      0.129193899873589,
      0.141174197126409,
      0.132316348605331,
      0.147473430445955,
      0.14285642464874,
      0.11223399439033,
      0.0933975585636738,
      0.097863730737597,
      0.106967147306401,
      0.110537024296464,
      0.111034088395181,
      0.128585121144702,
      0.153279547432929,
      0.171575726026634,
      0.171100965320612,
      0.13235337104376,
      0.109206236870984,
      0.132159296316402,
      0.14286324154065,
      0.12869856808271,
      0.121370144005087,
      0.10503988309204,
      0.0874075430106163,
      0.0934515986113936,
      0.12081926734846,
      0.142537281276196,
      0.145034381039287,
      0.124711211509112,
      0.103181234016123,
      0.0935290332066061,
      0.0823835924838587,
      0.0663506100998318,
      0.0596637602143198,
      0.0623909537062998,
      0.0716706691603377,
      0.0737966158778175,
      0.0690300184504195,
      0.0673807409561692,
      0.0659219535279665,
      0.0693577479521589,
      0.0875188164584634,
      0.114953096389983,
      0.120353646134655,
      0.110191851860478,
      0.104529066512091,
      0.0967757256007481,
      0.092643365504234,
      0.0869904107906467,
      0.100336988424695,
      0.113179941593608,
      0.116065839681475,
      0.111710938237308,
      0.123510401295975,
      0.144854371353576,
      0.148783710484463,
      0.123439827837227,
      0.0966882387422388,
      0.0985790513308575,
      0.110070714943098,
      0.106102046675785,
      0.0973785893356563,
      0.0976368982193415,
      0.108856414413016,
      0.129415237936412,
      0.149453723172833,
      0.14680340432799,
      0.126349245180508,
      0.107141842089385,
      0.100820942817383,
      0.112680320678026,
      0.146741938946917,
      0.169485619039052,
      0.158815692970671,
      0.131180501099965,
      0.116479418182025,
      0.122045713272903,
      0.118870620368322,
      0.0974840178740475,
      0.101703443470046,
      0.130560194459676,
      0.147187893159885,
      0.146855083645096,
      0.127877250880242,
      0.103163849854777,
      0.114402172954282,
      0.140226476675689,
      0.135406092349793,
      0.127209435065507,
      0.12090298358326,
      0.0975345441264846,
      0.0866100403739253,
      0.105864443156194,
      0.136952993092891,
      0.151557710291023,
      0.134867270879671,
      0.109576790968073,
      0.0979403905161291,
      0.0998731772704781,
      0.100944995626329,
      0.112631205459993,
      0.131560241830082,
      0.132437936988862,
      0.125549703683412,
      0.121974097813706,
      0.125361050758536,
      0.117188976597065,
      0.10078318670522,
      0.0994639327162744,
      0.113927739887007,
      0.119404178606946,
      0.115078521049389,
      0.108678332673166,
      0.0955832766998671,
      0.0898891515243978,
      0.0899193139172109,
      0.0771300693233132,
      0.0739570921247883,
      0.0835056154260018,
      0.0823314785003579,
      0.0755910002476755,
      0.0811208987706913,
      0.0886238656146014,
      0.0908173830666167,
      0.0948142434646342,
      0.0965854726816862,
      0.0961163072647016,
      0.0850691560500734,
      0.073228204493139,
      0.0748257533729602,
      0.0809761213972433,
      0.0697969442758328,
      0.0602628624474647,
      0.0672940821159349,
      0.0691116654991223,
      0.0643186128114615,
      0.0656669264138059,
      0.0664008345366918,
      0.0581515756907443,
      0.0488095622058038,
      0.048323192558245,
      0.0568622256384527,
      0.0639042990554461,
      0.0625268376554377,
      0.0579451069734969,
      0.046876798405738,
      0.0308890232970935,
      0.0014527561193588,
      0.0256951028849604,
      0.0860111754841877,
      0.13515858888221,
      0.133014205113214,
      0.134150560655124,
      0.153028758313458,
      0.152407474630555,
      0.139074799043536,
      0.168055835335667,
      0.197048312258586,
      0.176907722012326,
      0.142450842181573,
      0.116941595359805,
      0.119510134412485,
      0.136767271461366,
      0.124493082881009,
      0.0903730540332068,
      0.0714473191353656,
      0.066965653611906,
      0.075104260683827,
      0.0829676451748269,
      0.0774877459395345,
      0.075128663893834,
      0.0791121801752239,
      0.0783558352530127,
      0.0818984504273369,
      0.103179380327239,
      0.12100541279841,
      0.115782459888405,
      0.107966337156176,
      0.100483886107976,
      0.10477214184443,
      0.116089096395824,
      0.10571755700109,
      0.0894283126060672,
      0.0920558180488022,
      0.101608896374116,
      0.116573874817356,
      0.138824345659327,
      0.155316382789065,
      0.148855631317737,
      0.134857082198549,
      0.126441738543337,
      0.118833279274525,
      0.11190846131449,
      0.109151200722034,
      0.130761125847254,
      0.153210002136352,
      0.142458664792278,
      0.16505882424286,
      0.192121634722434,
      0.146736535325389,
      0.115732450769642,
      0.137951064430348,
      0.150808617244507,
      0.127387290195806,
      0.118165933356899,
      0.108285470621069,
      0.0943215160121335,
      0.0921696016877617,
      0.100277123316445,
      0.111077649901242,
      0.116652390728382,
      0.113042786418436,
      0.124166967270941,
      0.144805027921415,
      0.152056397398065,
      0.15247019343696,
      0.126855820358914,
      0.109819946587202,
      0.121094863049653,
      0.120625749974472,
      0.112641272186394,
      0.110189692898522,
      0.0984243852552428,
      0.0883740687499824,
      0.0921946184774118,
      0.116024284328822,
      0.136752948812316,
      0.135122627600636,
      0.120991182218379,
      0.108198591908571,
      0.0941209016186663,
      0.0786176992908111,
      0.0661982841370159,
      0.0619876984730124,
      0.063368224352823,
      0.0671260634666878,
      0.0684207390056362,
      0.0673575858080126,
      0.067612724167999,
      0.0662009336169465,
      0.067432390962763,
      0.084470166106104,
      0.110449240092391,
      0.116404624747377,
      0.104035547600414,
      0.0957256907158407,
      0.0914784168235623,
      0.0901917299910419,
      0.0896595011270435,
      0.11005779526588,
      0.123911962660243,
      0.118550101140642,
      0.107790813191977,
      0.122260176725796,
      0.147363726170547,
      0.141056279003632,
      0.113143542214221,
      0.0930447298515349,
      0.0932436553275074,
      0.105133549231424,
      0.110063217516084,
      0.102085255082415,
      0.0922633701101237,
      0.0943643506238155,
      0.103226178492381,
      0.116622351715778,
      0.127304752402297,
      0.131655417206488,
      0.120630781571222,
      0.107936115541725,
      0.112081578820383,
      0.132469557110395,
      0.149381858910004,
      0.150047491127729,
      0.129877136445711,
      0.115271075546667,
      0.112734030939982,
      0.111643831279001,
      0.0970201491886433,
      0.100782099022637,
      0.126262382074165,
      0.135046929747642,
      0.137736473403253,
      0.127533060897193,
      0.10612026815242,
      0.111007405557916,
      0.124244617031895,
      0.118114838320334,
      0.11434865976317,
      0.108484984739895,
      0.0916435666289747,
      0.0864839108531659,
      0.102100094192694,
      0.13216458516034,
      0.14406330582064,
      0.130341263157455,
      0.116352444741541,
      0.10155802305572,
      0.0909346593599752,
      0.0907078231603405,
      0.106747999170756,
      0.123643427762606,
      0.126976444731233,
      0.125753476578773,
      0.122980565256773,
      0.126716754032804,
      0.119641366717993,
      0.101939375343775,
      0.101772776848592,
      0.11787439187551,
      0.121315961818445,
      0.11513457897074,
      0.107540333077212,
      0.0955607837547333,
      0.0979477037129149,
      0.105257937105471,
      0.0926005574674844,
      0.0847862008815977,
      0.0925550756165904,
      0.0938946700117041,
      0.0864877691548208,
      0.0808054690902042,
      0.0761735257178348,
      0.0783744261813926,
      0.0820140424936993,
      0.0864113907050438,
      0.0895755270826028,
      0.0798185927942393,
      0.0695120751506656,
      0.0674073977002952,
      0.0710572383753636,
      0.0699422004182511,
      0.0644266300509681,
      0.0659500323955384,
      0.0675376007084973,
      0.0639250670508364,
      0.0667114628553205,
      0.0657486122998404,
      0.0573886037715714,
      0.0514861651239685,
      0.0550632519756692,
      0.0638005653582369,
      0.065614843387554,
      0.0626416413043128,
      0.0618921737995715,
      0.0524123835364358,
      0.0339019790846509,
      0.00124212727600546,
      0.0240791904712244,
      0.0822461699686873,
      0.125974071076996,
      0.120757881711603,
      0.129312929041662,
      0.159376416059732,
      0.163720530608312,
      0.147155233799743,
      0.165271468549444,
      0.186785852453547,
      0.167070965615289,
      0.133776660878398,
      0.111311209106669,
      0.123879424867639,
      0.144704829340747,
      0.124905235337954,
      0.0900341232349142,
      0.0706065281095368,
      0.0637314139904806,
      0.0726857963122504,
      0.0839636007822178,
      0.0819154394350793,
      0.0802507152007831,
      0.0819396612560912,
      0.0774874900715097,
      0.0802631933256897,
      0.102366237934803,
      0.120176639786454,
      0.116365927527839,
      0.110540831334256,
      0.102136805892871,
      0.103065634814097,
      0.10950654491931,
      0.103437190792589,
      0.0983520101245285,
      0.11022263781559,
      0.119724288725381,
      0.121305803474583,
      0.135589774162357,
      0.159971440883716,
      0.151681926104285,
      0.120060538607524,
      0.104297458724306,
      0.0979805804254187,
      0.0919886479311692,
      0.0898255062991645,
      0.111172704328125,
      0.132791598611303,
      0.123050877461201,
      0.149188881351685,
      0.183214973705716,
      0.149761208799055,
      0.120667274646947,
      0.136336101384796,
      0.151067644195069,
      0.138381571898844,
      0.120099405018819,
      0.0979610815227729,
      0.0834043707735809,
      0.0871813262344687,
      0.116042438359944,
      0.133509311431455,
      0.112439945339752,
      0.0941145386119389,
      0.107685744610704,
      0.13152226180016,
      0.134083969869277,
      0.126594443229334,
      0.109834215834164,
      0.108022179401358,
      0.120227619009166,
      0.115835294158804,
      0.109794542129325,
      0.110052726149008,
      0.106906903266428,
      0.103607233682203,
      0.103492667428812,
      0.117517449959901,
      0.131782508320236,
      0.131044130124145,
      0.123437037870828,
      0.116462048004971,
      0.108250165979785,
      0.101471306940173,
      0.0872487325151599,
      0.0746385982716263,
      0.077357650830997,
      0.0878878504497314,
      0.0923315665575694,
      0.0909612353881123,
      0.0907965076736777,
      0.0864487226420501,
      0.0821331760590087,
      0.0971361006434211,
      0.124730686287904,
      0.135180481950585,
      0.126466214892306,
      0.11957060318843,
      0.111822433682691,
      0.100090913544151,
      0.0948295543947308,
      0.103673594423784,
      0.105070088271662,
      0.0934986548983148,
      0.0878226670713934,
      0.109192630527328,
      0.134542315912348,
      0.131124572380123,
      0.116382751171127,
      0.097725961334636,
      0.0841028353445732,
      0.0897667084428805,
      0.0995882164515226,
      0.102684414180045,
      0.107845157454559,
      0.1053902385948,
      0.099936433400015,
      0.116167969327819,
      0.123819792678536,
      0.122703020085124,
      0.118676321237863,
      0.118408132432899,
      0.129199710601908,
      0.134983531460314,
      0.12959078188652,
      0.130348129600508,
      0.122964251126224,
      0.121813385958727,
      0.12652969791461,
      0.124597224733546,
      0.108615149644699,
      0.11487467509843,
      0.139692216366013,
      0.14689298301734,
      0.149219105319615,
      0.13444520030179,
      0.110797442301106,
      0.112345548361187,
      0.118871402452829,
      0.11375863138355,
      0.113343871431543,
      0.110985128317955,
      0.10401156699701,
      0.103710981936698,
      0.109503916734017,
      0.126849685023349,
      0.134434281990803,
      0.12485028157408,
      0.118582276352329,
      0.107391889203076,
      0.0937535631600757,
      0.0953312963081631,
      0.115014861512206,
      0.12877196253282,
      0.130253100454969,
      0.130351469492407,
      0.127629110609909,
      0.128986381536352,
      0.118793553362069,
      0.100162081838892,
      0.104801677780623,
      0.124019042163113,
      0.124847372163087,
      0.116751570925969,
      0.11148855236816,
      0.0985224519903474,
      0.0992676503280893,
      0.108049497634414,
      0.103333551994767,
      0.103013158205112,
      0.104054973713554,
      0.10214403449212,
      0.101942574311455,
      0.0970299868580956,
      0.0848618009890932,
      0.0818967533737123,
      0.0897971129448477,
      0.10446135720183,
      0.10703909997008,
      0.0899822062788855,
      0.0788857128338013,
      0.0832460500674901,
      0.0896587169883129,
      0.0845621319696905,
      0.0761871665680724,
      0.0797608726084411,
      0.0807260579935482,
      0.068759014718712,
      0.0674818303598876,
      0.0667608311636518,
      0.0579552197648071,
      0.0528435036987093,
      0.057450237442366,
      0.0662480240051316,
      0.0668795059151768,
      0.064839722739872,
      0.0672746486881215,
      0.0577142776777987,
      0.0360590640105535,
      0.00112337982384271,
      0.0236865478952915,
      0.080655736866274,
      0.121984562652652,
      0.116805562811998,
      0.12254398793905,
      0.155968973995887,
      0.171891911067417,
      0.152742503528116,
      0.154369869717025,
      0.177473812031417,
      0.165026524541936,
      0.127529454074578,
      0.106057211913972,
      0.131017263651549,
      0.157671158968255,
      0.136002315843154,
      0.103848560763555,
      0.0787087421139034,
      0.065025172731056,
      0.0709298187015054,
      0.0803711751670208,
      0.0816822773195217,
      0.0826084734126229,
      0.0814010226062744,
      0.0734042713633227,
      0.0777476313043824,
      0.102967155023748,
      0.124110227985059,
      0.123129182160685,
      0.11779102875613,
      0.10550522901256,
      0.100878786445099,
      0.105532161826638,
      0.104783404300675,
      0.110017251953419,
      0.129060428320836,
      0.137161263610027,
      0.131181013672495,
      0.130620517771951,
      0.148149996877258,
      0.158689673477414,
      0.140754595421411,
      0.117488814932457,
      0.106221485819288,
      0.105114354184236,
      0.108278293522719,
      0.12942962892724,
      0.148941617318061,
      0.135240451977829,
      0.155015070558744,
      0.185676099479574,
      0.159588416932037,
      0.13051029588966,
      0.132960426232352,
      0.153672320287815,
      0.173253971723003,
      0.162147083945716,
      0.117089037633538,
      0.092714828559051,
      0.099006263113965,
      0.12159980547071,
      0.121721951468053,
      0.0935311419896275,
      0.0789695044358316,
      0.0969795597272318,
      0.123195288507452,
      0.131320591746709,
      0.12257677824221,
      0.106928802201809,
      0.119029973414452,
      0.148463707670612,
      0.152643620577525,
      0.142092891057392,
      0.14630052122037,
      0.154079488277009,
      0.150052183977121,
      0.144480486578145,
      0.146458891038298,
      0.153554069410135,
      0.159331883754159,
      0.150082121987509,
      0.139279825463802,
      0.139140884535619,
      0.148324200468686,
      0.13029787011758,
      0.100463207374565,
      0.103901850742987,
      0.129929178412153,
      0.140209920561892,
      0.133267837259113,
      0.129039794370506,
      0.119139565471757,
      0.109812339375801,
      0.12631345624962,
      0.156858117790157,
      0.165734887144671,
      0.159640390105999,
      0.154192265682171,
      0.14267780191041,
      0.122031672377725,
      0.116533279740788,
      0.133806240231601,
      0.129436813601259,
      0.11236249992346,
      0.111342019824456,
      0.128387014616807,
      0.148655154739847,
      0.166816680213229,
      0.163417539317747,
      0.129301033559456,
      0.109105104452084,
      0.123542454219022,
      0.127481587676528,
      0.118478506631536,
      0.13008165642678,
      0.130569064799278,
      0.131999512385158,
      0.155581914950618,
      0.156488221451587,
      0.136151310930024,
      0.122661859463194,
      0.126432126588705,
      0.143368519361608,
      0.154872151690285,
      0.145278204665131,
      0.135271928304678,
      0.12906111989214,
      0.133028299232645,
      0.143883119210233,
      0.139451700666498,
      0.117240592652349,
      0.124146661400361,
      0.156634291659125,
      0.178496464861609,
      0.192491776252196,
      0.166751688609791,
      0.130806201689891,
      0.137110949463594,
      0.154925926436071,
      0.147881062682042,
      0.144891181336519,
      0.153819363743091,
      0.152734037059848,
      0.146378601873664,
      0.145290452954576,
      0.152934248623291,
      0.160785839472387,
      0.154983991853415,
      0.14035451168265,
      0.126588128920807,
      0.118919491532346,
      0.123089188249272,
      0.141829127299888,
      0.148038795242503,
      0.141066225931964,
      0.135955204209802,
      0.130554767573795,
      0.130899980040137,
      0.117625476698805,
      0.0965505307742004,
      0.104890720617858,
      0.127850155657953,
      0.130152735903082,
      0.122600816021252,
      0.117343787820193,
      0.100267591011871,
      0.0975234588770046,
      0.108163888130315,
      0.110133148212285,
      0.123245593217991,
      0.13504851400695,
      0.135204689924628,
      0.138814114212999,
      0.14061187354725,
      0.127758550136759,
      0.119431040197102,
      0.136994626114458,
      0.168062051118705,
      0.164428787344961,
      0.130324277304811,
      0.114986704747217,
      0.123286874112244,
      0.127905659215871,
      0.116782357588747,
      0.107634271315906,
      0.11174504359993,
      0.106055237954111,
      0.0796208842444208,
      0.0683172699584818,
      0.0647834183520706,
      0.055624590677567,
      0.0506963726110687,
      0.055993037236313,
      0.0664068608874528,
      0.0672857967854536,
      0.0646384203272266,
      0.068222425575354,
      0.0592796127297453,
      0.0375685048247032,
      0.00103856283742032,
      0.0242040880751132,
      0.0821563280674902,
      0.122213943999555,
      0.115506026133747,
      0.11110400083431,
      0.134156659057608,
      0.155164122337792,
      0.144660709249371,
      0.147602753699317,
      0.177860564706058,
      0.171115400588702,
      0.127428892647898,
      0.103115276354357,
      0.13525047542198,
      0.165813058146995,
      0.147600868620328,
      0.123612907831509,
      0.0904778379004647,
      0.0651647573425337,
      0.0669193718356638,
      0.0747398097619959,
      0.0783326605631728,
      0.0815547045057138,
      0.078637658057602,
      0.0692622895945595,
      0.075831898849473,
      0.10334665423652,
      0.127400378185363,
      0.130917048976166,
      0.127808492047744,
      0.114378382026604,
      0.105652854420087,
      0.110690305164633,
      0.114306795052472,
      0.120099012486752,
      0.137011225172138,
      0.141342492191639,
      0.135265615857248,
      0.133420773930077,
      0.145797958778429,
      0.163701929197872,
      0.160444844581157,
      0.141070316607061,
      0.13329660946219,
      0.134243077483039,
      0.136295935758724,
      0.163739527272019,
      0.182913081450649,
      0.154748683779521,
      0.168933246336053,
      0.195682849793575,
      0.165048506891249,
      0.135312518178814,
      0.134532026390644,
      0.158954604672753,
      0.199999100446225,
      0.202532026082691,
      0.139753277371985,
      0.100209847742359,
      0.107507793348217,
      0.126985999575925,
      0.112296324166834,
      0.0814350349653454,
      0.0748160829912719,
      0.101924106688859,
      0.13239062954685,
      0.144274477906768,
      0.133842562121941,
      0.111798494371406,
      0.126955424283692,
      0.168096783156642,
      0.176734130442657,
      0.160560491390431,
      0.169239037575082,
      0.182834164676682,
      0.177807286476018,
      0.173009342081774,
      0.170501306413539,
      0.172641550668109,
      0.176197625542724,
      0.157100710323822,
      0.144309440606697,
      0.151207339026796,
      0.163915826601598,
      0.141924345323525,
      0.103261215096484,
      0.100824212013483,
      0.124180458271147,
      0.133267156860742,
      0.129035728718182,
      0.1257996828953,
      0.116891901121103,
      0.115203242917123,
      0.137995142259018,
      0.1651052948789,
      0.163351710226871,
      0.159809592707387,
      0.153747283247477,
      0.138553603459584,
      0.120536009025835,
      0.115966517770159,
      0.143675697951042,
      0.149384917973269,
      0.13780344842252,
      0.144273451367726,
      0.162108463152249,
      0.17848559810937,
      0.191913702062022,
      0.172746924532559,
      0.133069801571116,
      0.12575564940932,
      0.157331344214479,
      0.160734166361531,
      0.140434053782994,
      0.149642594738605,
      0.152054377570777,
      0.159782508238719,
      0.187572955682875,
      0.182635898430254,
      0.149655308488571,
      0.128979556743243,
      0.135633129870528,
      0.165864371254583,
      0.182738323562887,
      0.164633372536231,
      0.14213599101364,
      0.132004035856926,
      0.136436266757253,
      0.145942423647732,
      0.134509710094275,
      0.104870992824766,
      0.109997180911668,
      0.153627410944617,
      0.186331321177583,
      0.190267546157922,
      0.15921169942842,
      0.128543074722159,
      0.15030733481375,
      0.185521117692385,
      0.175330975859291,
      0.166547457470619,
      0.185741599040405,
      0.187265026966324,
      0.171641028527534,
      0.167632696512015,
      0.175769502180499,
      0.18301686966015,
      0.170333830665926,
      0.147574408216874,
      0.137396515295028,
      0.137962984584246,
      0.14258855882428,
      0.157990203142496,
      0.159655465531902,
      0.150793301123612,
      0.141642350143879,
      0.131414742667242,
      0.13025371637828,
      0.114758062725526,
      0.0920312392415204,
      0.10295059864952,
      0.128860831625145,
      0.134360349341888,
      0.131853705534353,
      0.126532230625613,
      0.103725885764431,
      0.0984105083072254,
      0.114393288817264,
      0.122586968342892,
      0.136725442004459,
      0.140220198855106,
      0.142248394671813,
      0.155463002658475,
      0.165672232847372,
      0.161561556394859,
      0.159514836716972,
      0.182997173703965,
      0.2085598967191,
      0.183785548122597,
      0.142622073137614,
      0.138013623879738,
      0.152293289386053,
      0.143998457183205,
      0.116597244119719,
      0.107686718867964,
      0.113457307521868,
      0.10333626930263,
      0.0771353690899987,
      0.0660566093663273,
      0.0603198813309426,
      0.0506161287700113,
      0.0465293057442804,
      0.0539356995498735,
      0.0660607347795871,
      0.0689609090061979,
      0.0677649061241355,
      0.0687448488640362,
      0.057175564645886,
      0.0358693007604121,
      0.000971810469987474,
      0.0257460028623545,
      0.0873442929883944,
      0.125966140188398,
      0.112997808495561,
      0.100002709238578,
      0.107280043138673,
      0.121886410768557,
      0.126109379489004,
      0.146199694465222,
      0.182467653397752,
      0.177834248847063,
      0.130499946841017,
      0.101601196922713,
      0.129865565206334,
      0.159320183097277,
      0.152503598086241,
      0.138502785767469,
      0.100410494665573,
      0.06776517649848,
      0.0648822507041515,
      0.0702745176320763,
      0.0741014534891427,
      0.0765871900175512,
      0.073479909215322,
      0.0676960654727909,
      0.0758380598434537,
      0.0992415644898633,
      0.123356471108194,
      0.134048636853444,
      0.136319093287265,
      0.125681876208215,
      0.109425988168806,
      0.102795541307682,
      0.0978746389757121,
      0.0957014879467871,
      0.106983590638335,
      0.111418365324873,
      0.117383364742894,
      0.134590456573168,
      0.140469269227699,
      0.139651089458852,
      0.153864156080413,
      0.146290121003012,
      0.123068539109177,
      0.113365830188847,
      0.11852279587513,
      0.145361976248122,
      0.162679180421229,
      0.140411894079128,
      0.151241318504769,
      0.170145486196325,
      0.135570113464853,
      0.107203191334935,
      0.11139955347151,
      0.133093931463359,
      0.161808572463156,
      0.168773664229888,
      0.128216736830198,
      0.0939922624794233,
      0.0908081914667465,
      0.108721154984523,
      0.109891198699596,
      0.0892042769584135,
      0.0807572507168821,
      0.10957791926946,
      0.133780576673182,
      0.12356618978645,
      0.107906869739514,
      0.0904856022345048,
      0.0959375424828999,
      0.123128150993374,
      0.12908636223396,
      0.117149173839396,
      0.12634824264523,
      0.14009502850593,
      0.141015382228211,
      0.136177805126058,
      0.134069415836957,
      0.136707017739152,
      0.129010751494194,
      0.112580474106798,
      0.113846946391293,
      0.12343286937794,
      0.136198587280613,
      0.124023478519339,
      0.0883961322697351,
      0.0763998864466488,
      0.0895605193311896,
      0.0970235326391022,
      0.0958587117422148,
      0.0943293675739841,
      0.089680717705198,
      0.0931579916500307,
      0.115248423859189,
      0.13977057024868,
      0.142158660684042,
      0.142919373143574,
      0.141542777792268,
      0.124499747003742,
      0.102688079138254,
      0.0920510990705707,
      0.104518379834964,
      0.109498343997842,
      0.104732559421735,
      0.113924019356051,
      0.136162332366597,
      0.150363594148145,
      0.148252421093232,
      0.128284954522342,
      0.101314720094227,
      0.0985196017010027,
      0.126595424605544,
      0.133956551435356,
      0.116720573349451,
      0.122026223699296,
      0.131963177236045,
      0.147158274748524,
      0.167915039496575,
      0.153504658836738,
      0.11992683377107,
      0.104395494014265,
      0.107605609999388,
      0.136226112317863,
      0.161980862216195,
      0.152119024028781,
      0.130418082012277,
      0.12135880259098,
      0.123977692208443,
      0.131893474350613,
      0.122638148176684,
      0.0945442076873101,
      0.0938336200786375,
      0.124695947742666,
      0.144159043059266,
      0.135711671747791,
      0.112270589656334,
      0.093353838201468,
      0.107625760272734,
      0.128986600246801,
      0.123050094217565,
      0.122420078263618,
      0.138919298273124,
      0.142861672141616,
      0.137436639280146,
      0.134516502835468,
      0.139569255853042,
      0.141018814498864,
      0.124209324691441,
      0.111519169830687,
      0.112897252028791,
      0.11890171573825,
      0.129046076812174,
      0.143681326790072,
      0.145385878066868,
      0.14254639769293,
      0.1352622617987,
      0.128169414829304,
      0.125061318001434,
      0.107179186707394,
      0.0885074696716988,
      0.0976902098469988,
      0.11980438540272,
      0.130464013422698,
      0.136096891160733,
      0.135431659227372,
      0.115844787779327,
      0.100156342573947,
      0.0976629902820361,
      0.0980105119204201,
      0.110085198535043,
      0.107162708867426,
      0.0937663957476362,
      0.100534940843574,
      0.123365157375232,
      0.128694576003986,
      0.12651051603185,
      0.143754173796982,
      0.149401434997958,
      0.121785102730824,
      0.100690841661598,
      0.102820955358503,
      0.116025785438464,
      0.116413245700702,
      0.0971934587013871,
      0.0895694061411171,
      0.0966706009808023,
      0.0894293134825185,
      0.0711717374490845,
      0.0623004893838279,
      0.056591393060369,
      0.046844130922048,
      0.0425630471532593,
      0.0513944945916905,
      0.0656940277616016,
      0.0740441434500924,
      0.0736740833588984,
      0.0670123527163883,
      0.0516723966179554,
      0.0316335411345018,
      0.000894897513613304,
      0.0272538814433605,
      0.0940319476441513,
      0.132514494242325,
      0.111010136752116,
      0.0930996545076523,
      0.09364770843999,
      0.103374383721364,
      0.116659015396351,
      0.146868320258906,
      0.183626876629358,
      0.18196511185053,
      0.134427312135248,
      0.100769550789525,
      0.114872363259462,
      0.140862431213108,
      0.151324773334655,
      0.139029928583476,
      0.0998869556523094,
      0.0710345824226579,
      0.064145746240888,
      0.0660616884306882,
      0.0674402474600623,
      0.0672871715037784,
      0.0657589550342069,
      0.0661347105650252,
      0.076928442224365,
      0.0978300823722339,
      0.120638309038048,
      0.133186864317875,
      0.136278494842994,
      0.127216222871168,
      0.105917049084832,
      0.0892919385605537,
      0.076925036611212,
      0.0716349534542804,
      0.0818952091497976,
      0.0893472362779282,
      0.0991652886911358,
      0.123063764779435,
      0.131249428543123,
      0.122293395573784,
      0.132100040178972,
      0.124763621372955,
      0.0940377200440383,
      0.0789674758711998,
      0.0915529789283424,
      0.131004308542564,
      0.152892310080234,
      0.131622713277545,
      0.141034531207438,
      0.15505869749708,
      0.114422586314917,
      0.0903512291018193,
      0.0992698345466089,
      0.110205922599696,
      0.121580948378248,
      0.139537193285593,
      0.122564502504652,
      0.0992967015287707,
      0.0937995392931537,
      0.103391727307894,
      0.112962337675795,
      0.100466164572838,
      0.0852570185008303,
      0.106549681962532,
      0.123685630174172,
      0.100833689113478,
      0.0845183617628787,
      0.0747989798833126,
      0.0722435492237731,
      0.0754938391616552,
      0.0750283660380345,
      0.0820247426169046,
      0.0963126354677036,
      0.10392490865505,
      0.109865452248503,
      0.108889853645707,
      0.104484893456225,
      0.103644228802862,
      0.0901447814912425,
      0.079002986423002,
      0.0869054794310024,
      0.0996075492107597,
      0.110051248036799,
      0.0982213198671631,
      0.0713544829134572,
      0.0613447518104586,
      0.0679030897480477,
      0.0724645843735164,
      0.0724752450501554,
      0.0706874269533027,
      0.0673744245760366,
      0.0739305184470796,
      0.0950323496963017,
      0.118848688597557,
      0.12764757452229,
      0.128111819878271,
      0.127119809178173,
      0.110131929918795,
      0.0890704011845294,
      0.0745751093482241,
      0.0717969844853799,
      0.0750034593325006,
      0.0768309084901408,
      0.0796004657730595,
      0.101263791683206,
      0.123393188815118,
      0.122443100430798,
      0.115488768570848,
      0.0995391832293724,
      0.079033993546744,
      0.0792218272935686,
      0.0863314421487575,
      0.0804091051612061,
      0.0898217071901093,
      0.118577142240615,
      0.143017616101193,
      0.144247698952797,
      0.121498483781829,
      0.0954091393886779,
      0.0824885623749231,
      0.0781335609081486,
      0.100820218331184,
      0.135787949799865,
      0.141961206156015,
      0.132764327611538,
      0.126600687036087,
      0.117062876181366,
      0.119088093901083,
      0.118930617966347,
      0.092203352953709,
      0.0877353483020173,
      0.11002342900084,
      0.111405951199789,
      0.0923334568936749,
      0.0830333812514565,
      0.0745884417910618,
      0.0742612670395811,
      0.0771069521953295,
      0.0789885120247689,
      0.0915097150935921,
      0.103793330843005,
      0.108058004761031,
      0.110623723337572,
      0.106922065928507,
      0.108726666632054,
      0.102826407683784,
      0.082778222019758,
      0.0806858722219211,
      0.0894577674649988,
      0.0971309506465059,
      0.111904103361614,
      0.129252456269358,
      0.134362414313886,
      0.133860545252889,
      0.128226840219417,
      0.126252539904096,
      0.123295906031103,
      0.103417422639948,
      0.0873800330652779,
      0.0953431007145208,
      0.113875586105637,
      0.1253724244585,
      0.133020569886358,
      0.135139430804916,
      0.12233014954912,
      0.0996213141501465,
      0.0812686291898933,
      0.073096170933847,
      0.0690864849120484,
      0.065246841639186,
      0.0605412848962688,
      0.0617707360949572,
      0.0807577610377745,
      0.0923546213141206,
      0.0917734994871531,
      0.101505358114863,
      0.102886938660709,
      0.0831032369505642,
      0.0676149769290923,
      0.0676220617511126,
      0.077509255062394,
      0.0816616069680841,
      0.0718863658361559,
      0.0707799824452623,
      0.0796714483818435,
      0.0765406230109674,
      0.0658630854177829,
      0.0592976274283836,
      0.0547561646599123,
      0.0455233464582463,
      0.0399171625134667,
      0.0469208421714129,
      0.0612236500608225,
      0.0726570075054685,
      0.0719780616682117,
      0.0605328527374098,
      0.0443766156422725,
      0.0282020261413271,
      0.000681933526237587,
      0.0260609255730865,
      0.0966172607641209,
      0.139754614193925,
      0.117205445594764,
      0.0953330831572935,
      0.0925568789534842,
      0.102889308552007,
      0.11809793541845,
      0.14297718872694,
      0.174545942435424,
      0.181079009408242,
      0.139871840500457,
      0.101867041509899,
      0.0986631352466157,
      0.116722696652685,
      0.129880741086186,
      0.11668947579446,
      0.0871472551953896,
      0.0680683523888188,
      0.0625864799795295,
      0.0648174936560018,
      0.0639439146595279,
      0.0611573426700378,
      0.0599905039474638,
      0.0629445281531304,
      0.0754619278577453,
      0.0981283642529541,
      0.123125084956426,
      0.132574919300997,
      0.127392433621037,
      0.115651367944035,
      0.100988655003526,
      0.0932304826448136,
      0.079826383849526,
      0.0764694934798548,
      0.0901491057135661,
      0.0962336862826615,
      0.0927827303851449,
      0.0990782814069391,
      0.108822901514475,
      0.110091481502241,
      0.114235824683636,
      0.107622592819128,
      0.08467347065288,
      0.0766997464192463,
      0.105609773015227,
      0.163555119365552,
      0.176642898224032,
      0.140301574756687,
      0.150148751616331,
      0.160269864228663,
      0.117501191118943,
      0.096783679340981,
      0.100945783734827,
      0.0997110275358634,
      0.109404990622702,
      0.136703932141958,
      0.119156701935777,
      0.0974394408909082,
      0.0959963094304235,
      0.0979984906630746,
      0.104064222859956,
      0.100032467815865,
      0.0903593497169963,
      0.110018795084121,
      0.122731024001736,
      0.0986657016477089,
      0.0874905736212069,
      0.0799830062359244,
      0.0709004933174164,
      0.0631610650569758,
      0.0592395182402258,
      0.0727831897081222,
      0.0904662862905819,
      0.0988806270673501,
      0.106600702145854,
      0.107899895815091,
      0.10212731222231,
      0.0929390706987731,
      0.0756337907683502,
      0.0687615281449122,
      0.0796983575351586,
      0.0937248818811469,
      0.10354392174708,
      0.091180433953026,
      0.0647667900708028,
      0.0552033461212066,
      0.0617868004346313,
      0.0660297555458907,
      0.0623320116319188,
      0.058528997636562,
      0.0571664213521462,
      0.0651612488646247,
      0.084235139202229,
      0.110044023450027,
      0.124598543749231,
      0.119609005958113,
      0.113179792922872,
      0.0958827652480283,
      0.0834221764975348,
      0.0774722098703563,
      0.0709031328273403,
      0.0712298982087964,
      0.0842983810503471,
      0.0896598705736334,
      0.101550082776261,
      0.119739183078935,
      0.128526078870697,
      0.125772877820456,
      0.105715165091875,
      0.0762113831560752,
      0.0620452077485654,
      0.0700691224903078,
      0.081263566654443,
      0.107097724221276,
      0.149464766233645,
      0.158664745258346,
      0.127983613338347,
      0.101744000719634,
      0.0887448140679263,
      0.0869027992337852,
      0.0895099231823316,
      0.105472216482156,
      0.130228922957793,
      0.136436061636141,
      0.131467403839469,
      0.127081270595909,
      0.110998357734993,
      0.104494685990455,
      0.109587460582063,
      0.0928058517578082,
      0.0980670662277687,
      0.118746359122009,
      0.108057590468559,
      0.0884267504447266,
      0.0833818648501756,
      0.0751749233209166,
      0.0665946623599907,
      0.060712878090821,
      0.0648626936119342,
      0.0842801939435182,
      0.0990367390441574,
      0.102596906528584,
      0.10627782106183,
      0.105511642765891,
      0.102164062943195,
      0.0877599302768507,
      0.0691427536872703,
      0.0719480296463833,
      0.0828226850375829,
      0.0902920094351759,
      0.102848765250409,
      0.118889277886577,
      0.130703070662851,
      0.135621027648631,
      0.12890956905283,
      0.123504019920435,
      0.11912832469388,
      0.101218154682848,
      0.0873812060700348,
      0.0930873444098023,
      0.108788552376163,
      0.123105039271672,
      0.130327466239195,
      0.123547443400868,
      0.108848729830549,
      0.0912099459463659,
      0.0805532052579055,
      0.0781079523399016,
      0.0700556400016003,
      0.062687478334371,
      0.0590849914687607,
      0.0562547068082364,
      0.0709487791210993,
      0.0840425416436772,
      0.0803719594472311,
      0.0902026839800879,
      0.106474431953579,
      0.0892457027005895,
      0.061105992394069,
      0.0564038331834271,
      0.0735474303552777,
      0.0877777169980475,
      0.07185835069026,
      0.0579282994341143,
      0.0646732463853317,
      0.0668639704354934,
      0.0617216687854219,
      0.0571845822761013,
      0.0538303607363512,
      0.0451940707775022,
      0.0383177154384068,
      0.0422563771181922,
      0.0545390117399266,
      0.0635710667796812,
      0.0617322080843046,
      0.0522189526251614,
      0.0387224403554183,
      0.0255864864855645,
      0.00046360864917435,
      0.0241309326200122,
      0.0980741501154785,
      0.150354270957804,
      0.138093805422743,
      0.111661574141346,
      0.0961116664886361,
      0.104117861142983,
      0.121171774193465,
      0.143789570865825,
      0.168080628082084,
      0.17048666615577,
      0.140499976729637,
      0.105372663415626,
      0.0919766073414392,
      0.103070041514366,
      0.110734242663684,
      0.0984196572543215,
      0.0774743437570932,
      0.061800399889958,
      0.0584880737490634,
      0.0618291270474953,
      0.0615550240609415,
      0.0597371967356601,
      0.0574127928867316,
      0.0597813883404699,
      0.0729850804179388,
      0.0951818885830912,
      0.118928759362683,
      0.124663420253531,
      0.114884430614387,
      0.102011940163519,
      0.0975878739275209,
      0.10632409043363,
      0.09254707035063,
      0.0870753023379106,
      0.105570818539116,
      0.116665866403456,
      0.107774051161345,
      0.0987843574165368,
      0.10865275717535,
      0.118203822925012,
      0.116217060663501,
      0.101303320084263,
      0.0785289828428099,
      0.0790718075552063,
      0.116796285709412,
      0.168372010867728,
      0.172811787686922,
      0.138039668883479,
      0.132560390271015,
      0.131451979259299,
      0.108235659825498,
      0.103452947249339,
      0.114142074081977,
      0.109462370963233,
      0.108360791771062,
      0.12874100395429,
      0.107101830684744,
      0.0827622059566426,
      0.0832079256895214,
      0.0880608760038459,
      0.0952989993523482,
      0.0938852063674734,
      0.089200713502898,
      0.109596562379034,
      0.121705281921013,
      0.100262066181047,
      0.0921646324585496,
      0.0821396163003621,
      0.0700283710686123,
      0.0636000010947958,
      0.0594710841858928,
      0.0679080468274459,
      0.0840726645305753,
      0.0966479878224477,
      0.109185817445676,
      0.118527215055467,
      0.111313055033482,
      0.0895510823227719,
      0.0699016859704199,
      0.0650231110646368,
      0.0750670580331478,
      0.0888541668134584,
      0.105174913764981,
      0.0962987968291824,
      0.0654345791613221,
      0.0519583727620089,
      0.0557793386541693,
      0.0603719224812511,
      0.0585878194096862,
      0.0556280690331597,
      0.0539549794020078,
      0.0615513814396546,
      0.0799024544804691,
      0.104415879933904,
      0.117523186767337,
      0.109532679906036,
      0.0996272648664481,
      0.0841792558834184,
      0.0755015478121836,
      0.0721022991636592,
      0.0747036681531599,
      0.0854045207297905,
      0.0972162381617235,
      0.0947149098011588,
      0.0936483144938946,
      0.104030570569497,
      0.118603285545654,
      0.111309661860097,
      0.0887402486105325,
      0.068254401887327,
      0.0577009691467995,
      0.0659440562670348,
      0.0866857342058342,
      0.120789165996498,
      0.151680566628406,
      0.141325489833272,
      0.119778860726213,
      0.107871489120899,
      0.0971958058058599,
      0.105366954147359,
      0.117928192607173,
      0.123224659932059,
      0.129231824793801,
      0.124421363575898,
      0.11727321097958,
      0.114813975755711,
      0.105129007813585,
      0.0981807772789596,
      0.103329857427002,
      0.0910277663937233,
      0.0978386479242151,
      0.120310012293705,
      0.108955200357035,
      0.0914722508534677,
      0.0864767010329724,
      0.0749841568968087,
      0.0644327640298404,
      0.0603570383875922,
      0.0627970168230504,
      0.076827781335562,
      0.0929561253893495,
      0.102461863687121,
      0.114812695224766,
      0.118894141372009,
      0.103760474105312,
      0.0799577210060104,
      0.0644808778085472,
      0.0693942494989249,
      0.0805630988059204,
      0.0876398862705039,
      0.0996296514241992,
      0.116303380308528,
      0.128902879794323,
      0.13316733268078,
      0.12376025881735,
      0.112143771341013,
      0.108337772485867,
      0.0973142605738507,
      0.0872022439924111,
      0.0917203359252405,
      0.104766595839956,
      0.117852484603822,
      0.12183822710267,
      0.110348111306469,
      0.0931513176149797,
      0.0826720720737154,
      0.0846161681321148,
      0.0834675488798027,
      0.076218259631124,
      0.0705229574269401,
      0.0648274873214856,
      0.0570513281700584,
      0.0599751261855195,
      0.0684213546125854,
      0.0708299393901826,
      0.0844134388818274,
      0.110438757299702,
      0.100446509947559,
      0.0672978501991523,
      0.0572939041651106,
      0.0700891174065578,
      0.0842608765187012,
      0.0716816987472092,
      0.057198150369486,
      0.0644086270421752,
      0.0696398677008721,
      0.0619628063149402,
      0.0536229164524344,
      0.0516141946215438,
      0.0443984638454632,
      0.0372241584939318,
      0.0382313935427537,
      0.047366596092875,
      0.0552418969549312,
      0.0544459101554345,
      0.047506959331804,
      0.0361519302842164,
      0.0244516072945618,
      0.000345821661703138,
      0.0222996358795945,
      0.0948691929107711,
      0.158888763491377,
      0.167750671845493,
      0.137227808901413,
      0.103769362523013,
      0.104996853758682,
      0.121882330171088,
      0.154624828813713,
      0.178299724508676,
      0.161490483379499,
      0.137198280894968,
      0.110659808815386,
      0.0943130281357308,
      0.101046066982761,
      0.10620522320252,
      0.093608892918376,
      0.0748156206136623,
      0.058975850751813,
      0.0572322468294138,
      0.0602503702470607,
      0.0587827802140647,
      0.0578104668062793,
      0.0557921542303274,
      0.0571952164217019,
      0.0692647231518326,
      0.0890395493321829,
      0.107746348665769,
      0.112141332826877,
      0.1061663129387,
      0.0943130949526742,
      0.090673815851081,
      0.0988782647361215,
      0.0860077776544988,
      0.0749893103556066,
      0.09474036477633,
      0.112383482741063,
      0.105559765919776,
      0.102241882365209,
      0.11934652334774,
      0.123423658692668,
      0.107273119412092,
      0.0909254373995463,
      0.0764509953935257,
      0.0772627587184297,
      0.0941786270605968,
      0.120288553445188,
      0.137628531801588,
      0.130093576725723,
      0.127521371112637,
      0.123653333103403,
      0.107616855554509,
      0.106652833661823,
      0.118108298366999,
      0.121123477561185,
      0.119980582022048,
      0.126276051239719,
      0.102078608768721,
      0.0781982271025804,
      0.0776845296255725,
      0.0883550170254548,
      0.0949725347637891,
      0.0907614548939287,
      0.0893524599206057,
      0.107527211453635,
      0.118691274011464,
      0.100847071009751,
      0.0928346607732406,
      0.0795295697308243,
      0.0674641250868468,
      0.0693823567332344,
      0.0715984544691174,
      0.0711436227862112,
      0.078399488934698,
      0.0957409985194197,
      0.11992838875839,
      0.1347576356752,
      0.118407162780166,
      0.0899211987240944,
      0.074233778019596,
      0.0670563145225211,
      0.0700158342215842,
      0.0810713201403261,
      0.0956872526585136,
      0.0869305702608353,
      0.0618004737803363,
      0.0519445177208712,
      0.0583469304519204,
      0.0623792586053896,
      0.0582778647516945,
      0.0548160062384486,
      0.0533103711615627,
      0.0614763231338405,
      0.0792993068679579,
      0.100402455793879,
      0.108037144604697,
      0.102131169970821,
      0.0955890053890789,
      0.0815761201356344,
      0.0690099048100044,
      0.0648913413726362,
      0.0762042097705663,
      0.0859193941116681,
      0.0865739330043434,
      0.0877830150792372,
      0.0952430815679911,
      0.101559038592024,
      0.110006494810681,
      0.105691755757807,
      0.0839872371709959,
      0.0662748475006699,
      0.0600297255197709,
      0.06563596045956,
      0.0822409926999083,
      0.103563690738365,
      0.115156420009077,
      0.115635343059809,
      0.130928890156524,
      0.129145389065257,
      0.101631352907811,
      0.0965514144902992,
      0.105803531997045,
      0.107431459008129,
      0.116934299457756,
      0.121154689939277,
      0.109326750684086,
      0.101716116103079,
      0.101342130707742,
      0.104466390097129,
      0.104811207900982,
      0.0909638410418851,
      0.0973814487560161,
      0.118087684281015,
      0.111800406180473,
      0.0998387684742735,
      0.0914314769553333,
      0.073993606634448,
      0.0661317220240346,
      0.0711045311091824,
      0.0721481886361845,
      0.0742208835806565,
      0.0890226410610498,
      0.108275171795132,
      0.127771495200096,
      0.127896959045579,
      0.10447571163741,
      0.0828705479710138,
      0.0697081088056154,
      0.0667165005101516,
      0.0707715250761147,
      0.0776459110984289,
      0.0946778286353539,
      0.11556143548204,
      0.124710133337411,
      0.122521545783597,
      0.11586047068211,
      0.103732459851192,
      0.0982004446849644,
      0.0914669539023687,
      0.0855107913370281,
      0.0902190034516333,
      0.0996588279744065,
      0.107007476609967,
      0.109512968165369,
      0.101353236274602,
      0.0832940488154588,
      0.0763713253913989,
      0.084666294423873,
      0.0793365483200234,
      0.0730439932365885,
      0.0729359146759045,
      0.0683934439079544,
      0.0621612950787066,
      0.0648997866084255,
      0.0716057790987597,
      0.0756157748593608,
      0.0843924477479419,
      0.101184313933757,
      0.0953398014085959,
      0.070267922770435,
      0.0620930993030364,
      0.0721066192902174,
      0.0830157583660853,
      0.07246169237497,
      0.0649166176705614,
      0.0768359364297745,
      0.0774302637294965,
      0.0614617623695616,
      0.0500134811364254,
      0.0467080744530126,
      0.0403038357640012,
      0.0353025542402597,
      0.0376224770134402,
      0.0458754665962857,
      0.0511993437237576,
      0.0502952151894407,
      0.046097257688365,
      0.0356548870067457,
      0.023132593868311,
      0.000295186795213955,
      0.0200653412040016,
      0.0829934809602473,
      0.152250064783052,
      0.175300047105612,
      0.144659876374746,
      0.107933024879864,
      0.104177665753106,
      0.118430097386976,
      0.170519702065243,
      0.201660204444151,
      0.165043346277217,
      0.139113146984721,
      0.119396444166278,
      0.102371410960088,
      0.108563653831608,
      0.117764744463449,
      0.0983664983777471,
      0.0743311333134678,
      0.0615371009885403,
      0.0629948157429195,
      0.0651768770437782,
      0.0600122452992012,
      0.056272637554173,
      0.0549128644833135,
      0.0553677739114443,
      0.0636892983287181,
      0.0798815795903282,
      0.0965138493383456,
      0.105792381557026,
      0.107914325088156,
      0.0985331841775807,
      0.0903212474612068,
      0.0875525986678761,
      0.0768381989349704,
      0.0706732863775189,
      0.0865342367729628,
      0.0976533397304727,
      0.0910425020603703,
      0.095321244203289,
      0.11425304348292,
      0.11886332406593,
      0.100218285197867,
      0.0827200046161895,
      0.0726998442823741,
      0.0685459430446164,
      0.0770537085727513,
      0.108086231099997,
      0.131936336039448,
      0.123189059795132,
      0.123260437471165,
      0.125642351115827,
      0.115515081316322,
      0.108984947251752,
      0.11662808413594,
      0.133772870036402,
      0.150806845531249,
      0.153321970125792,
      0.121365710560501,
      0.0915789012982358,
      0.0799558298033042,
      0.091471702769993,
      0.100084474849758,
      0.0954134406698772,
      0.0978359371486049,
      0.115182906939903,
      0.123361234194899,
      0.104880959115213,
      0.0948968900652416,
      0.077350527467107,
      0.0654455491660735,
      0.0753672352180954,
      0.0860924562491567,
      0.0832727921460922,
      0.0802890284692582,
      0.0880577929329774,
      0.105936719816002,
      0.117083296645028,
      0.104481171123027,
      0.0911573582612707,
      0.0880731392804272,
      0.0780136950111752,
      0.0711124824451023,
      0.0753542648732086,
      0.0831579276240023,
      0.0760852952588089,
      0.0612227057287915,
      0.0574006266590717,
      0.0668532922328631,
      0.0694938316239841,
      0.061932204806255,
      0.057035814801218,
      0.0549044322401911,
      0.0604353623626413,
      0.0739771913700168,
      0.0916373620675043,
      0.100722787069456,
      0.104608774853892,
      0.103403530140351,
      0.0875384884575121,
      0.071333526002148,
      0.0641023778597958,
      0.0700014611986614,
      0.074845024445823,
      0.0816464897856141,
      0.0980466354788659,
      0.124883637962867,
      0.126518182985952,
      0.101928532377762,
      0.0945833434016147,
      0.082088564715857,
      0.0675681692233743,
      0.0672259944317696,
      0.074573689957299,
      0.0829793409357353,
      0.0913126878712848,
      0.0944260939569321,
      0.10200734627142,
      0.122703120672877,
      0.119529942172389,
      0.092296045181719,
      0.0794762900907724,
      0.0830632451240402,
      0.0899357499320664,
      0.106394619057187,
      0.117195301659223,
      0.104457653612226,
      0.0934705761564155,
      0.0971216564301723,
      0.105031256516286,
      0.100974140134026,
      0.0916099445990897,
      0.102353386850134,
      0.12059216818612,
      0.119642759566775,
      0.11084202741389,
      0.0971948573383384,
      0.0729670199463228,
      0.0675354628993351,
      0.0824783913287782,
      0.0887862971510553,
      0.082680003907973,
      0.0849978215762775,
      0.0974326209749581,
      0.11517121977121,
      0.114483895424246,
      0.0991370229264635,
      0.0928374415506441,
      0.0839136911052067,
      0.0731583263682871,
      0.0692682182436167,
      0.0712586063713912,
      0.0874708218045393,
      0.109550467566468,
      0.117846277427397,
      0.114382823037063,
      0.114526584044024,
      0.105950169468342,
      0.0963488755200561,
      0.0858648885290488,
      0.0780122766009708,
      0.081698778720665,
      0.0901702532373705,
      0.0963947196821417,
      0.10338913609955,
      0.103411777417742,
      0.0858083759350513,
      0.0763524932783266,
      0.0813519503428179,
      0.0719964076603148,
      0.0618133504322683,
      0.0644593534086974,
      0.0666144915477022,
      0.0654686746134016,
      0.0734491758906155,
      0.0829196273313987,
      0.0864089885970042,
      0.0914417411907208,
      0.0972718578638855,
      0.0903884782042806,
      0.0733882502769479,
      0.0667701623480599,
      0.0778297392721092,
      0.087885840850961,
      0.0773129505284041,
      0.0805166759404434,
      0.0989111366602783,
      0.0867331590630523,
      0.0615351574632026,
      0.0527859836941344,
      0.0477544663215107,
      0.0396123123646258,
      0.0352492734134058,
      0.0403459012166962,
      0.0511418945731949,
      0.0561899997385579,
      0.0560912389576715,
      0.0529910981206835,
      0.038534941171854,
      0.0221265076804846,
      0.00027457055652848,
      0.0189941140442012,
      0.0740948456930686,
      0.137846380298601,
      0.155143044438748,
      0.129886226553167,
      0.109415932092785,
      0.10597770158617,
      0.112282479155057,
      0.170330280812851,
      0.209630424773798,
      0.171712227765082,
      0.141615545992944,
      0.122145614209077,
      0.106333329818652,
      0.112704096873229,
      0.124134441045697,
      0.10145498572059,
      0.0738691616445208,
      0.0629221472229225,
      0.066832191468063,
      0.072232812719925,
      0.0660787895739936,
      0.0601324969065525,
      0.0592568662576585,
      0.0558597018595675,
      0.0589138056653544,
      0.0784359444642054,
      0.101388488791587,
      0.109881637810741,
      0.111906317998261,
      0.102576801132475,
      0.0946622430986369,
      0.0899592791988219,
      0.078671251928909,
      0.0749233751207046,
      0.0912871284223625,
      0.0962211803140414,
      0.087478417227505,
      0.0924824946992856,
      0.101946024393223,
      0.109727144733991,
      0.110031669192016,
      0.0959890970050605,
      0.075452836322832,
      0.0609815643310611,
      0.0667563681379294,
      0.0982593173773378,
      0.119194369165845,
      0.10984184941248,
      0.112248209925162,
      0.122543957558319,
      0.115504854137703,
      0.104467377473107,
      0.107979399210378,
      0.121814784024845,
      0.145056507589996,
      0.168214204523338,
      0.142867439996725,
      0.101192926339715,
      0.0793565805630209,
      0.0914786956563578,
      0.101921897193898,
      0.0948826224988486,
      0.0968927837439784,
      0.120772925883466,
      0.134998168242978,
      0.112553973961702,
      0.10032282777951,
      0.0816195854954414,
      0.0700493990877636,
      0.090286583574211,
      0.110588753857553,
      0.105431811339255,
      0.092247596873278,
      0.0816898591886111,
      0.08552977935588,
      0.0971867971165906,
      0.0958030473122006,
      0.100554628180562,
      0.109419207414954,
      0.0934563892719663,
      0.076290448371898,
      0.0757579359318527,
      0.0804626661369138,
      0.0733015109973433,
      0.0616621756018911,
      0.061262443785186,
      0.073174995084224,
      0.0759677895162175,
      0.0666094752369926,
      0.0611996475804433,
      0.0583670168508327,
      0.0598032310842273,
      0.0724347435028282,
      0.095770508077402,
      0.106704263872754,
      0.108949998612583,
      0.104847452912284,
      0.0908132546499999,
      0.076599756939582,
      0.0662385246585773,
      0.0694629466914382,
      0.0731151545894476,
      0.0736666941609845,
      0.0852596593307221,
      0.116043215609849,
      0.125701733677092,
      0.102063496369236,
      0.0890254927070269,
      0.0747426937782082,
      0.0681875900892569,
      0.0807020333022903,
      0.087339049820247,
      0.0898846571090183,
      0.0965002816542674,
      0.0899119505124294,
      0.0887750226486134,
      0.102585874026581,
      0.0989130627530411,
      0.0829293771089631,
      0.0718966704653997,
      0.072780556510555,
      0.0895079393959288,
      0.117879739254069,
      0.131230329107984,
      0.115594994404348,
      0.0980255788723845,
      0.0984772094758534,
      0.103062304877426,
      0.095739874887639,
      0.0874713258077333,
      0.101049834813553,
      0.123826860888583,
      0.123980156987519,
      0.112822455700584,
      0.0995921305805506,
      0.0737893203104785,
      0.0738371146659667,
      0.101794553219968,
      0.114052029004261,
      0.102301805266962,
      0.0887314492777147,
      0.0825660149926612,
      0.0933701776812919,
      0.0988777367888831,
      0.0995853547699564,
      0.112319477001584,
      0.10568370095175,
      0.0826902524663223,
      0.0707768220069297,
      0.0686366211758995,
      0.0794621761480482,
      0.0997275628108976,
      0.114174444214926,
      0.117017893802639,
      0.119632054552071,
      0.111846000842295,
      0.102735184094275,
      0.0899584016827961,
      0.0734099780492403,
      0.0724377269531701,
      0.0862427642008818,
      0.0976447199592364,
      0.106009526177462,
      0.109215460890565,
      0.0925839827005169,
      0.0815518450628751,
      0.0792738546903121,
      0.0649198187749576,
      0.0535320439628577,
      0.0578795305457562,
      0.0644767668290212,
      0.0644431766675214,
      0.0752258204431205,
      0.0874963798597871,
      0.0855404871655154,
      0.0874501538582854,
      0.0885961761209907,
      0.0810983223037719,
      0.0734994069239078,
      0.0682758704633566,
      0.0733835083610141,
      0.078531657766863,
      0.0711225495612458,
      0.0790439517054283,
      0.0961136826786139,
      0.0816584900180248,
      0.0611805492175391,
      0.05764972186321,
      0.0525560988194,
      0.0420512924834236,
      0.0367626822459949,
      0.0416109983207693,
      0.0527249935477635,
      0.0596939476460292,
      0.061352570877385,
      0.0575638909555378,
      0.0409248583572211,
      0.0233447755072484,
      0.000229185780038956,
      0.0185555918684331,
      0.0708010895129658,
      0.121942206718763,
      0.124973323110915,
      0.109850295064515,
      0.112448984000851,
      0.11531845663196,
      0.111040506859366,
      0.153924086773946,
      0.191641751859906,
      0.162500838853989,
      0.13046600779203,
      0.109834501325825,
      0.100899362607875,
      0.11073181360598,
      0.119982145140323,
      0.100417413807823,
      0.0754821688108858,
      0.0679579260085866,
      0.0706871842243124,
      0.0733667226390872,
      0.0686126493292665,
      0.0655074554932175,
      0.0653560880649318,
      0.0594179595506509,
      0.0620084461915688,
      0.0904750227379362,
      0.120937246328545,
      0.116764983942334,
      0.110355671641824,
      0.102906912764713,
      0.0954945266336996,
      0.093080513229265,
      0.0820922144626419,
      0.0785826139746068,
      0.100889784195984,
      0.108201821713373,
      0.102531881399197,
      0.106945187762297,
      0.105387919593142,
      0.110775191257301,
      0.114997703658988,
      0.100786718935049,
      0.0805647872480604,
      0.0673587844332575,
      0.0737106800693192,
      0.0916341036706718,
      0.101706011328392,
      0.103458522205816,
      0.1182070940104,
      0.135494793913932,
      0.116740007962291,
      0.0933995374918219,
      0.0923046043563029,
      0.0986846906795364,
      0.120447258573271,
      0.163093292675186,
      0.145814369622455,
      0.100914489646091,
      0.0793356675357651,
      0.0841596227691868,
      0.0917995562170616,
      0.088960940100478,
      0.0883431478057257,
      0.110287251621062,
      0.13259844575089,
      0.113980168796792,
      0.103702604682562,
      0.0894547976859299,
      0.08018159300432,
      0.106036706924911,
      0.12882218893148,
      0.12436571009004,
      0.111593309295475,
      0.0859814775340491,
      0.073246330557794,
      0.0846283863130165,
      0.0983396951205874,
      0.119492154733381,
      0.133681102826896,
      0.111638407999778,
      0.0851765975982205,
      0.0785936163460739,
      0.0778636650716613,
      0.0680864414438151,
      0.0604039712974008,
      0.0631560054360884,
      0.0704894569289424,
      0.0717602078326925,
      0.0663112051337434,
      0.0635612043861804,
      0.0598466613135545,
      0.0573972480587751,
      0.074174505444786,
      0.110972009054374,
      0.1224238076954,
      0.110491805382034,
      0.103222076478757,
      0.0904051393995492,
      0.0811636261903941,
      0.0730297862018741,
      0.0801312819814151,
      0.0819174479470322,
      0.0674367506081595,
      0.0686803418394398,
      0.100818876236136,
      0.119192790568188,
      0.106767122862931,
      0.0908296513441949,
      0.0719556097654486,
      0.0699215669436023,
      0.0821683547422483,
      0.0801759166656346,
      0.0801603129285258,
      0.0914132168626996,
      0.0888353336406953,
      0.0956223879502947,
      0.111141621107752,
      0.0983292592977407,
      0.0801685499458877,
      0.0692935780050056,
      0.0691884384146973,
      0.0874403999400565,
      0.129884519126906,
      0.167658778236933,
      0.155435692758789,
      0.117999699447388,
      0.100494247324689,
      0.0973776214540572,
      0.0933207917199511,
      0.0828602928215939,
      0.08814234003176,
      0.111693970662442,
      0.117911970641985,
      0.107125516770208,
      0.0988521059527435,
      0.0785062981088428,
      0.0881560854410037,
      0.124669396989654,
      0.131960943325698,
      0.118397112855176,
      0.0995100936216381,
      0.0758383456360713,
      0.0772364062422263,
      0.0915866632189004,
      0.109063314050246,
      0.131064683134834,
      0.123387991202808,
      0.0939171459521243,
      0.0774798043453799,
      0.0735002578209674,
      0.0783977897942411,
      0.0984893015271043,
      0.1280290116414,
      0.135493215339864,
      0.125013213898084,
      0.117644103084771,
      0.111622054215241,
      0.0962635268858741,
      0.0763187143168853,
      0.075330238882286,
      0.0965146406860346,
      0.1109313748056,
      0.110325572368292,
      0.109096072523906,
      0.0958790918565231,
      0.0837335784003095,
      0.0781721575048623,
      0.063055801805374,
      0.0505335261110698,
      0.0553347852308288,
      0.0612895016170663,
      0.059978335011529,
      0.0679055125809667,
      0.0783494421607592,
      0.076743996005464,
      0.0801873494966015,
      0.0819889332207998,
      0.0721640767132724,
      0.066096288220392,
      0.0629518386781852,
      0.0616624616318962,
      0.0607816058349153,
      0.0559177155575786,
      0.0605114470333452,
      0.0731441843381535,
      0.0672797243399657,
      0.0577334362212763,
      0.0595935565759572,
      0.0552905311627473,
      0.0440772539329133,
      0.0374918318623313,
      0.0398287514313888,
      0.050566321346363,
      0.0592042564931689,
      0.0619051474692267,
      0.0583071007833065,
      0.0411677082600695,
      0.0221192601966008,
      0.000169194739877775,
      0.018763681266522,
      0.0717317160314931,
      0.112432276565147,
      0.105921851232727,
      0.0996548668193808,
      0.116245624184487,
      0.123626193960883,
      0.114094970454679,
      0.141264986515287,
      0.170876401996011,
      0.149954583748896,
      0.116552712485524,
      0.0939005169689,
      0.0954305687913034,
      0.114308393555329,
      0.11811263632738,
      0.0966094162954384,
      0.0794356235639348,
      0.0872616653363252,
      0.086813710828993,
      0.0719356330202519,
      0.0647994009416534,
      0.0645520110010468,
      0.0651284066110208,
      0.0603683262330689,
      0.0647571958337654,
      0.0975083893192954,
      0.132221261662852,
      0.119568249349614,
      0.108802979525374,
      0.103206618536963,
      0.0951423901636129,
      0.100974932318026,
      0.0910944455159943,
      0.0817824685089078,
      0.0935084493094644,
      0.10290653190019,
      0.110508904246139,
      0.117114729787827,
      0.110535241632569,
      0.107656933985205,
      0.105536709828252,
      0.0972947177311379,
      0.0896239448992122,
      0.0811927960912684,
      0.0814210818964065,
      0.0977877229821474,
      0.113519508498951,
      0.116080439933746,
      0.141999038941672,
      0.162041113866855,
      0.122766601068619,
      0.0894400019574348,
      0.0893250638188559,
      0.0928693260309314,
      0.0991617400513613,
      0.128663332989455,
      0.119231040134607,
      0.0919992538530271,
      0.0819244277317993,
      0.09492971659824,
      0.103141673625338,
      0.0888866230348836,
      0.0816317362296279,
      0.0976116530149538,
      0.121027637534223,
      0.113758440705972,
      0.114797413259882,
      0.105053218540737,
      0.0934394396518219,
      0.109145876705771,
      0.118404336986585,
      0.111505743943341,
      0.107456619801501,
      0.0866056201911485,
      0.0694971412791979,
      0.0780681434075958,
      0.104521705240555,
      0.125762060264697,
      0.1274334691982,
      0.113419703517007,
      0.0962795535411316,
      0.0842530111526272,
      0.0765294828658028,
      0.0655796091920594,
      0.0635305176180461,
      0.0705954708602518,
      0.0700633130188389,
      0.0647888357160889,
      0.0630308452827559,
      0.0649643495723051,
      0.0620122640086354,
      0.0575160944453156,
      0.0758653705860387,
      0.117114357967803,
      0.124467037423253,
      0.103535342274044,
      0.0972803683547667,
      0.0835732333983986,
      0.0845376768616342,
      0.0887358262143783,
      0.100890164884784,
      0.0978652260983879,
      0.08041423541123,
      0.079828102424568,
      0.111885367116083,
      0.126437093672123,
      0.111033184692985,
      0.100422459809299,
      0.0827575527824199,
      0.0802230911785939,
      0.0850283100976298,
      0.0802354577016634,
      0.0788000107922436,
      0.0845359421787955,
      0.0882795724782932,
      0.102575374753282,
      0.118892360117185,
      0.11684293667658,
      0.10081798738531,
      0.0794210332198729,
      0.0717745943935313,
      0.0839334610606202,
      0.122352050918159,
      0.169193278033615,
      0.171117744246611,
      0.13237610822234,
      0.110171082962771,
      0.109582408967948,
      0.102100185272106,
      0.0830710674226804,
      0.0840168579024714,
      0.104604564364102,
      0.112124245368723,
      0.10390367867181,
      0.099107070714013,
      0.0856174821799831,
      0.0923600863811985,
      0.113599943836142,
      0.11410707445497,
      0.113363052803036,
      0.103987665337052,
      0.0762580703008643,
      0.0710590285262063,
      0.0915922297153468,
      0.124551612285563,
      0.13721379817786,
      0.121247753167072,
      0.103312094035409,
      0.088361533908198,
      0.0780416372704631,
      0.0777843239285976,
      0.100886656369433,
      0.144059431389726,
      0.148817842630398,
      0.118965036693761,
      0.112628522546854,
      0.110321309400575,
      0.0967022211348979,
      0.0803465865869149,
      0.0784949211496283,
      0.101828696533624,
      0.119711532610241,
      0.112418566552364,
      0.108856240924319,
      0.0994373598495538,
      0.0863557271747126,
      0.0831733201239102,
      0.070668705768228,
      0.054232644241603,
      0.0558223996618448,
      0.0609874235200719,
      0.059748102059162,
      0.065090898754895,
      0.0727255928857815,
      0.070672333159648,
      0.0710229325517636,
      0.0757834855959374,
      0.0689567193375616,
      0.0591389240977165,
      0.0569141525848209,
      0.0563053957005448,
      0.0539788864120259,
      0.049682523371886,
      0.0512301217115895,
      0.0604860073408458,
      0.05801959906957,
      0.0534639347896995,
      0.0596565960123772,
      0.059541623862773,
      0.04895047132574,
      0.040380492659182,
      0.0402014206476966,
      0.0524803150051549,
      0.0630360761760994,
      0.0613536543518858,
      0.0568056222106659,
      0.0424689450605051,
      0.0232696181021754,
      0.000121857227047519,
      0.0196554417529166,
      0.0760564167916171,
      0.112713230775883,
      0.101742350633839,
      0.100121527165461,
      0.122909668168745,
      0.129720524438813,
      0.116861348910926,
      0.13915098503594,
      0.164864668983141,
      0.148142530306829,
      0.112412635425511,
      0.086989555326463,
      0.0937140961555039,
      0.119465484443139,
      0.122127914224885,
      0.0968766701180969,
      0.0775368049948728,
      0.0798238489962598,
      0.0765344043088085,
      0.0652434474856324,
      0.0607955462449914,
      0.0646809047495431,
      0.0667019153888574,
      0.0631068590702792,
      0.0676668877001274,
      0.095476431643992,
      0.131531148618911,
      0.122720600903706,
      0.106375927975255,
      0.096487857706038,
      0.090464466859225,
      0.1001090505536,
      0.096613728251656,
      0.09333833591784,
      0.0928596525981661,
      0.0880671966950283,
      0.0980721615983028,
      0.11342043183781,
      0.115715172269636,
      0.111600192769386,
      0.107260227235681,
      0.0993326634354821,
      0.0916358937806624,
      0.0853816762516486,
      0.0830595717047257,
      0.107704295736563,
      0.130972320669429,
      0.116590751244603,
      0.137957529318413,
      0.163858498737135,
      0.123158243374879,
      0.092941516368456,
      0.0981633662525987,
      0.097312346341486,
      0.0913296621566278,
      0.101754094157149,
      0.0874037690539291,
      0.0727618356260482,
      0.07606159207137,
      0.098356185316761,
      0.104809666564204,
      0.0799422659568338,
      0.0732367470583075,
      0.0950852289533125,
      0.119511493496265,
      0.110386855120459,
      0.107937194579256,
      0.103509103108293,
      0.094337486570868,
      0.0962539388893112,
      0.0974510193510364,
      0.096896571102325,
      0.0963314376240814,
      0.0850715910209691,
      0.0756675769544568,
      0.0818845087375434,
      0.107139720312443,
      0.120275911381444,
      0.109607527958749,
      0.100437401386229,
      0.0948504733928351,
      0.0852075694000137,
      0.0756364845010755,
      0.0652273439701582,
      0.0616950540269245,
      0.0665173858883745,
      0.0648451845828463,
      0.0604123950202215,
      0.060769278119351,
      0.064242294053213,
      0.0626518751800592,
      0.0608205816658791,
      0.0768635954401606,
      0.111767162077211,
      0.120754973065165,
      0.100734526363665,
      0.0942742391651674,
      0.0824934786967439,
      0.0838676833309342,
      0.0897732834091595,
      0.0968258888600645,
      0.0894216095514144,
      0.0818676334102813,
      0.0860575518968212,
      0.11248494108541,
      0.123105936930571,
      0.104365842309657,
      0.0973186615273578,
      0.0817789508286206,
      0.0730300949391643,
      0.0775520082827406,
      0.0864065312748245,
      0.0893658227322676,
      0.0873443612413572,
      0.0870286385416961,
      0.093840467540547,
      0.105916617585454,
      0.111048343459577,
      0.102591196720279,
      0.0871273383568605,
      0.0798737257819608,
      0.0897671326994286,
      0.113993468030704,
      0.125450964425481,
      0.124563563090634,
      0.113783525126103,
      0.111351015328067,
      0.121842378982228,
      0.107655908093197,
      0.0793161682367258,
      0.0840662683104616,
      0.107742682467114,
      0.112454612345608,
      0.10057556748002,
      0.0985683493636701,
      0.0913058372022537,
      0.0899163669831,
      0.0960799625906397,
      0.0960304158974631,
      0.100316054010803,
      0.0972600674828417,
      0.0797686990883279,
      0.0768819066604104,
      0.0935848227203093,
      0.120273283449384,
      0.120659716630433,
      0.105541438890744,
      0.100798478986018,
      0.090207379827543,
      0.0783113646026495,
      0.079410834595337,
      0.103223492847431,
      0.145796208361905,
      0.15389007418589,
      0.11817362486373,
      0.103571333696399,
      0.103431553203312,
      0.0923056311527805,
      0.0786502104040648,
      0.0772654345005094,
      0.097593193187432,
      0.120508635030024,
      0.11878817748505,
      0.109878818724146,
      0.0953766888088095,
      0.084357552498153,
      0.0844598456849065,
      0.0771323843498555,
      0.0639238016810603,
      0.0610375905257231,
      0.0641750421275009,
      0.0647012596383871,
      0.0665738745676602,
      0.0691025004124161,
      0.0672062790289698,
      0.0680072313356572,
      0.0786510239949847,
      0.0728090927806816,
      0.0560243566264372,
      0.0548148390059547,
      0.0600050137376021,
      0.0577710873050865,
      0.0495537736542354,
      0.0468102405132062,
      0.0541450805186323,
      0.0555443545252064,
      0.0511426412468661,
      0.0550912682887482,
      0.0593419485129901,
      0.0516341223153466,
      0.0429928227112019,
      0.0416983910884421,
      0.053976191207286,
      0.066090698758297,
      0.0587500551092425,
      0.049252715933989,
      0.0406481655999048,
      0.026879200876515,
      0.000074998676976026,
      0.0188608798951127,
      0.0765798563721997,
      0.113681124575837,
      0.103196543948095,
      0.104523555278537,
      0.130413638263472,
      0.135214397219685,
      0.116492918725071,
      0.134470485302755,
      0.160242991806145,
      0.147507468748126,
      0.112073920416083,
      0.0871175534004191,
      0.0967890442443698,
      0.124259538304614,
      0.129007966836869,
      0.102036421992722,
      0.0735854411650506,
      0.0652333039718781,
      0.0650472254020633,
      0.0654586163773381,
      0.0612169565752961,
      0.0607081065590981,
      0.0618385916243953,
      0.0611112427320381,
      0.0657515970547159,
      0.0844509278378326,
      0.11574807675183,
      0.11821887838993,
      0.105038101480859,
      0.0947901459486841,
      0.0911015142692301,
      0.0914371733271638,
      0.0918652274651848,
      0.0910524799679733,
      0.09425518954298,
      0.0937896949346184,
      0.0979684988592837,
      0.113509296924308,
      0.124127302227949,
      0.124949074731292,
      0.122307676101081,
      0.103777091197064,
      0.0853069181021871,
      0.0788575429800958,
      0.0764023040504706,
      0.100188632784126,
      0.120265115345161,
      0.102629597074825,
      0.124861982008646,
      0.160991365226925,
      0.128083959979596,
      0.0977228499362869,
      0.103437462450538,
      0.101204430014752,
      0.0944605330152686,
      0.098264850019136,
      0.0793118504745896,
      0.0658164673772747,
      0.0722056113667787,
      0.0871513974074198,
      0.0867337789298195,
      0.0707221550271877,
      0.0688424859629406,
      0.0891801509821263,
      0.115897932282151,
      0.110912100942402,
      0.0969062710265909,
      0.0898710645338572,
      0.0877235439797401,
      0.0912697792106797,
      0.0924889993718216,
      0.0974020877531056,
      0.0991463887714407,
      0.0939846435352361,
      0.0901206801323722,
      0.092125549092327,
      0.101704074808027,
      0.103818766932202,
      0.102819148967351,
      0.102233986334456,
      0.096480225801209,
      0.0897138161090593,
      0.0875508756913532,
      0.0765175081112199,
      0.0607735463160925,
      0.0607341732928926,
      0.0700733300834363,
      0.0726974844756395,
      0.0699676030591178,
      0.0690280189860631,
      0.0652494336843476,
      0.0646370787299273,
      0.0768822018964833,
      0.104383368122931,
      0.120332816988846,
      0.110959756158804,
      0.106385954108396,
      0.0963891497756256,
      0.0838681694136338,
      0.0802766495258123,
      0.0827417683439946,
      0.07607289241612,
      0.0735262210291423,
      0.0777382384220007,
      0.0914244863830265,
      0.102714676098735,
      0.0981624494501392,
      0.0921754979009976,
      0.078247742805028,
      0.0648046724076043,
      0.0673576252344906,
      0.0812909063364111,
      0.097886465519876,
      0.108620979349774,
      0.0986684322500526,
      0.0912706769645729,
      0.105278618210837,
      0.11135359806474,
      0.0996096653850645,
      0.0876996007120079,
      0.0814531110645182,
      0.0871457645972752,
      0.101106343310765,
      0.0954874112949314,
      0.0980640952485985,
      0.107215529898694,
      0.101005071955248,
      0.0975314867750521,
      0.0932317345361077,
      0.0791721933871357,
      0.08645336223691,
      0.114396689190854,
      0.1236500791308,
      0.108104748231472,
      0.0981203217952625,
      0.0911016390746506,
      0.0883033294606441,
      0.0930578726135247,
      0.0967450635345074,
      0.101357784128912,
      0.100604097862073,
      0.0919223789023222,
      0.0916888333651846,
      0.0978289052671678,
      0.107141349655494,
      0.105680756930321,
      0.101372414812812,
      0.10005468954702,
      0.0922492846797473,
      0.0859761030522129,
      0.0897566640717891,
      0.106023937311849,
      0.13185535453894,
      0.141015666622581,
      0.116935441365572,
      0.0985741595815211,
      0.100398204301153,
      0.0904147307216218,
      0.0763768650606958,
      0.0756200971852781,
      0.0879759984748636,
      0.108137732353268,
      0.116452943105639,
      0.107255028872276,
      0.0895994136346007,
      0.0846905195012875,
      0.0868299295525501,
      0.081456348620732,
      0.0802732839095115,
      0.0763749955474377,
      0.0725480627891612,
      0.0755345080047671,
      0.0782346157153951,
      0.0756356444593515,
      0.0728527851647429,
      0.0779817583185143,
      0.0984620441909413,
      0.0999836202304374,
      0.0720734264616204,
      0.06134867894862,
      0.0743449479652736,
      0.0785942815995568,
      0.0619499082581655,
      0.0536047064857697,
      0.0636164014244891,
      0.0655566681946142,
      0.0526134452795479,
      0.0500140861702632,
      0.0546074976533692,
      0.0482777285529439,
      0.0421236800908531,
      0.0422981226320198,
      0.0524778166268226,
      0.0647696018556633,
      0.0588115551872379,
      0.0467471192627793,
      0.0386399675370399,
      0.0289251161776492,
      0.0000338666795092899,
      0.0158736150588778,
      0.0693415947586014,
      0.108513781095796,
      0.101686266990337,
      0.100157625811459,
      0.119492546334656,
      0.124366723811239,
      0.110619998997011,
      0.128120990483086,
      0.153044245762179,
      0.143087144367453,
      0.111621073916027,
      0.0896764072215098,
      0.106299127649475,
      0.132960310457635,
      0.125450443575636,
      0.0937912875339485,
      0.0665796679891751,
      0.0625681465569567,
      0.067012491945395,
      0.0702630837985334,
      0.0677656186571226,
      0.065166305485458,
      0.0637660661524965,
      0.0620307981862816,
      0.0677657123551526,
      0.0826641582028717,
      0.105416535577174,
      0.111246065250965,
      0.104846178966096,
      0.098318666522814,
      0.101294411819019,
      0.0986791035972261,
      0.0984147053142969,
      0.0980210840260276,
      0.117945588772361,
      0.128551813681656,
      0.115928746043501,
      0.11960714428089,
      0.140102141417932,
      0.150394961982183,
      0.144460649483774,
      0.117098710936302,
      0.0890663352539514,
      0.0838528641185135,
      0.0910557845249726,
      0.117152345160826,
      0.135994382146547,
      0.124676468201465,
      0.138502308059883,
      0.165365681763298,
      0.140624162980969,
      0.111297523718893,
      0.111768599243214,
      0.116878457779791,
      0.128183619277229,
      0.12822252061585,
      0.0916016930605273,
      0.070944694149696,
      0.0769119042029675,
      0.0875390972510012,
      0.08489930097249,
      0.0775901349330131,
      0.075902822318181,
      0.0884398648036985,
      0.113077786409021,
      0.121872562184626,
      0.110270728731606,
      0.0901716170436402,
      0.0906179098935322,
      0.112034549000478,
      0.120218292242552,
      0.117967734276264,
      0.117885393834604,
      0.120779839592006,
      0.125909437559856,
      0.123768530215206,
      0.118929651513172,
      0.120655895300693,
      0.127183744675477,
      0.121074888337938,
      0.112829982910865,
      0.109354974585973,
      0.114750123159322,
      0.102504445630404,
      0.073121374297826,
      0.0680992250191081,
      0.0850931556357556,
      0.0931945469763198,
      0.0895347811499003,
      0.0834054784951057,
      0.0758026999882296,
      0.0761499485140907,
      0.0891303868730909,
      0.114176485356953,
      0.125080031232093,
      0.122125719473847,
      0.126637626487291,
      0.123294654868313,
      0.101155944896473,
      0.0906967778376137,
      0.10282051224662,
      0.103448837852451,
      0.0952445355240887,
      0.0932816340471234,
      0.101156730115187,
      0.12109135845402,
      0.140347788006345,
      0.124994166417025,
      0.0919353100800272,
      0.0826495931255755,
      0.102201173853192,
      0.109999046383818,
      0.112783024649855,
      0.132328399438828,
      0.128071470870365,
      0.124993120602723,
      0.14073653143049,
      0.13889402886866,
      0.114402892221605,
      0.0969803280034846,
      0.0929916296541705,
      0.10154080327581,
      0.117015075733382,
      0.111988228816177,
      0.10694282198515,
      0.112063397819792,
      0.103493437871047,
      0.0944771649490861,
      0.0936962663561276,
      0.0861462308120364,
      0.0914658758021507,
      0.11925259863755,
      0.139082800605345,
      0.139647921488639,
      0.121698336913351,
      0.101113633531377,
      0.105547386438451,
      0.121835735365316,
      0.11987343946407,
      0.117542369618679,
      0.121357703594512,
      0.122286443821415,
      0.126733571808462,
      0.12335282707012,
      0.122043459258909,
      0.127566433769361,
      0.125941017990252,
      0.11734956624898,
      0.108497445229859,
      0.103728875608262,
      0.106585467509661,
      0.119981674586986,
      0.129736396865554,
      0.124933468932053,
      0.113002989260796,
      0.101455013213438,
      0.101768572755614,
      0.091805637132591,
      0.0765236101710863,
      0.0784654708666204,
      0.0893145083533656,
      0.100849129253757,
      0.108959598924156,
      0.102529240634031,
      0.0882221403094701,
      0.0958154919312709,
      0.100008459771287,
      0.0893615517815495,
      0.106900744775589,
      0.116222335661988,
      0.103020454888537,
      0.102029131294532,
      0.116981776189111,
      0.118870912628769,
      0.108392575907031,
      0.117316628431675,
      0.149772952105848,
      0.165972745438239,
      0.123101933063557,
      0.0911677661173376,
      0.110601825108287,
      0.124286253663982,
      0.0950259453052389,
      0.0788094224525504,
      0.0936203788249131,
      0.0925129923235615,
      0.0655750202543682,
      0.0553282701966184,
      0.0609420247016741,
      0.0531188314834108,
      0.0450536310193795,
      0.0457428017314335,
      0.0579504612537995,
      0.0712111799246386,
      0.0649907736935611,
      0.0512215197374089,
      0.041924511694161,
      0.0358051130082805,
      0.0000125861634448174,
      0.0132849333870962,
      0.0620940907792107,
      0.102543210797335,
      0.097498074667314,
      0.0880169844789964,
      0.0949000206800473,
      0.102502376587294,
      0.101702904723483,
      0.121070614732964,
      0.144265486092862,
      0.136582777449174,
      0.108965822503129,
      0.0879685834875684,
      0.109040291238279,
      0.13374072720891,
      0.111726186150434,
      0.0780818873555096,
      0.0599259333272316,
      0.0641793314283683,
      0.0702350556456606,
      0.069208006714572,
      0.066252736518944,
      0.0639571420136192,
      0.0624567074770941,
      0.0606723584589006,
      0.069139249429739,
      0.0858676050562245,
      0.104020755787098,
      0.109502805974505,
      0.105158582757146,
      0.0975023899751376,
      0.0993145407046779,
      0.103251290461437,
      0.106820632197033,
      0.107950346402164,
      0.127586469625786,
      0.13246145544662,
      0.115325458998414,
      0.116415932161742,
      0.137183329395123,
      0.148210650105139,
      0.134587378294393,
      0.114414925107884,
      0.102204780539781,
      0.0996320702992444,
      0.109385643607289,
      0.143837468750243,
      0.162132902689734,
      0.143907950714637,
      0.152506144869677,
      0.167194937101833,
      0.13846293822312,
      0.109866799767955,
      0.108864119565885,
      0.125272531971329,
      0.157083786110084,
      0.157653371307984,
      0.104190388043029,
      0.0722626192094622,
      0.0758177007385672,
      0.0988849237286116,
      0.10680247064094,
      0.0944904114703075,
      0.0857379754942964,
      0.0935890065780686,
      0.117225005805439,
      0.133907025475545,
      0.125136337577954,
      0.0966590637326799,
      0.0970751367738995,
      0.127980778999153,
      0.134446876131406,
      0.121269834368269,
      0.122374532617042,
      0.129177239867721,
      0.139406378924801,
      0.143870319259116,
      0.135856562274447,
      0.135306058312685,
      0.140637436875993,
      0.127931683663078,
      0.120120651316848,
      0.117158137131153,
      0.117132873195618,
      0.102018440619294,
      0.0751844141804642,
      0.0710530175589791,
      0.0901611929075149,
      0.100127086894755,
      0.0958168035392315,
      0.0877768095644359,
      0.0752327781520844,
      0.0782900786479515,
      0.0998217537005327,
      0.125298143947819,
      0.126705287296777,
      0.122722937788716,
      0.134739232179325,
      0.138907521050648,
      0.111961393489622,
      0.10182674550423,
      0.127165450930793,
      0.129375779521256,
      0.106937876477268,
      0.107919001725994,
      0.137961656284882,
      0.165436223627408,
      0.171279147426936,
      0.136839180968015,
      0.0952399600224181,
      0.0979671089649054,
      0.14144741801136,
      0.148297020897454,
      0.124209849038146,
      0.129408196124638,
      0.134349586652485,
      0.14264810670688,
      0.159423521043433,
      0.155613954582134,
      0.120140300096758,
      0.0990526704999465,
      0.10872526798379,
      0.134207726067696,
      0.147692235276604,
      0.134987079237686,
      0.117038489980275,
      0.107959795934356,
      0.105184049582649,
      0.107641607402273,
      0.104625979261405,
      0.0916293478124365,
      0.095043600502378,
      0.119953262255436,
      0.139132815297862,
      0.147596652078236,
      0.128250926055452,
      0.099978702719437,
      0.110518830812292,
      0.139923664090806,
      0.134992981425275,
      0.123687848387169,
      0.131928772288166,
      0.137639128241571,
      0.140624558729895,
      0.13572366735786,
      0.136841328234382,
      0.145030990375508,
      0.133532282164256,
      0.120398273908397,
      0.113219076077371,
      0.101449868812872,
      0.100643277186476,
      0.12013028676526,
      0.130526791551164,
      0.121520243587581,
      0.114446622938733,
      0.105108646185165,
      0.101382674348232,
      0.0907738926577571,
      0.075585391759363,
      0.0805028537065566,
      0.0947074760895736,
      0.10368094359108,
      0.108074870067584,
      0.101369129296961,
      0.0841071645209376,
      0.0926517847189756,
      0.107152993323982,
      0.100726684398715,
      0.123417088819867,
      0.137856907933446,
      0.121314749128482,
      0.120916852784625,
      0.153993450903591,
      0.167327677715405,
      0.149515402424394,
      0.151993958685359,
      0.169186308907573,
      0.164327303542334,
      0.121367802471869,
      0.105649651932475,
      0.139861715972026,
      0.158453997141778,
      0.115466459334323,
      0.0829581002375907,
      0.0889377338651705,
      0.088110798447041,
      0.0687761468377449,
      0.0594218957604014,
      0.0625160929252454,
      0.0561810897988555,
      0.0473812660193478,
      0.046203931127454,
      0.0579265543039345,
      0.0687905394458068,
      0.0626974911472338,
      0.0519492162317654,
      0.0467907945566725,
      0.0465733413199852,
      0.00000379319751307642,
      0.0119791860070678,
      0.0599100827946795,
      0.100593268148908,
      0.0947114052795041,
      0.0791936499802816,
      0.077710381678065,
      0.0893432654968175,
      0.0975874815141392,
      0.115272579742366,
      0.136406054093216,
      0.132685970367163,
      0.105304401538277,
      0.0811053383622544,
      0.097472872828224,
      0.119164166207365,
      0.0973419792971931,
      0.0703079807408416,
      0.0580765221486508,
      0.0594318001758839,
      0.0644973826140289,
      0.0639774679900496,
      0.0596288895540835,
      0.0592001652599591,
      0.0613698728713095,
      0.0610915371811941,
      0.0677250715814267,
      0.0851970579554536,
      0.102013581944949,
      0.103077140656911,
      0.0973027019136894,
      0.0870753930101012,
      0.0832445057509946,
      0.0902326776200628,
      0.0895818830215762,
      0.092884055359256,
      0.112793221693575,
      0.113556544283777,
      0.09828941335817,
      0.0997397580350143,
      0.107027684964127,
      0.104671577522987,
      0.100597488204174,
      0.102260879874576,
      0.0956950771205919,
      0.0839330176360782,
      0.0888956787376032,
      0.120394494681136,
      0.139007098335264,
      0.121456164025121,
      0.130033002786903,
      0.139086799367274,
      0.105342695608697,
      0.0793176573404063,
      0.0834397875422348,
      0.103561630465773,
      0.12765100120021,
      0.13498158700365,
      0.101243084765244,
      0.0684939384718666,
      0.0652266091544231,
      0.0947316345828254,
      0.111842992895602,
      0.0963668101841684,
      0.083732445905019,
      0.0891922481945851,
      0.10476508024907,
      0.115949494204183,
      0.11380851689615,
      0.0869386116356709,
      0.0761325359578645,
      0.0970848437586398,
      0.105552682065994,
      0.0971723602956789,
      0.100787901424593,
      0.104808960452939,
      0.109551237509554,
      0.113172127740279,
      0.107778502465656,
      0.110725673704888,
      0.111314118466578,
      0.0966259926965696,
      0.0953998726963192,
      0.0979307765673958,
      0.0987345193510657,
      0.0879821246279737,
      0.0686564476929953,
      0.0674003661368414,
      0.0920342685514973,
      0.0987648858198467,
      0.0852808175552767,
      0.0810740090253068,
      0.0740025612211199,
      0.07615812298922,
      0.0964116238460848,
      0.124996441661065,
      0.124303259300476,
      0.114339052580935,
      0.118886030921538,
      0.11449378212017,
      0.0901226172818288,
      0.0794847257959386,
      0.087636803108711,
      0.0891603906681018,
      0.0787610664892287,
      0.0813293907346385,
      0.111456480434257,
      0.136008290909363,
      0.128034288179373,
      0.104074849812399,
      0.0820992632098362,
      0.079123101326904,
      0.0993913109883808,
      0.104458077756947,
      0.0957270956791812,
      0.102419152108857,
      0.110035192948492,
      0.113930576533653,
      0.118495704131128,
      0.113490424234758,
      0.089917610346867,
      0.0746570429778344,
      0.0816819882123654,
      0.105568566157396,
      0.125887500956521,
      0.12972761117859,
      0.113798907358721,
      0.0969255244650738,
      0.100612038235456,
      0.114698096901351,
      0.111248851537882,
      0.0930712946599009,
      0.093506380578094,
      0.108816390720876,
      0.117038537709301,
      0.120958626137858,
      0.104533179597564,
      0.0794476758762725,
      0.0842482874987791,
      0.105289223965822,
      0.10193679037691,
      0.098454794100838,
      0.106076658553932,
      0.106107727504942,
      0.111574998364003,
      0.111487522504772,
      0.109507510351703,
      0.115242810398857,
      0.104075773075,
      0.0949598859751404,
      0.0956439274506821,
      0.0883243518123452,
      0.0875370679582208,
      0.102514659509473,
      0.114532944886773,
      0.112613002190158,
      0.105490383067751,
      0.0964621294199627,
      0.0928976668518373,
      0.084674077375854,
      0.0748882431639122,
      0.0796293479064461,
      0.0936010642501668,
      0.101899637385821,
      0.101139808348945,
      0.0926255203735251,
      0.0745377958691551,
      0.0745494138647187,
      0.0861846327702344,
      0.0828320457547303,
      0.0855533201599608,
      0.0858227942645275,
      0.0758450236290773,
      0.0811563632990767,
      0.112896853912214,
      0.126103838540352,
      0.113140484956316,
      0.116440166721159,
      0.115526101890064,
      0.0983669068871295,
      0.0789081406866669,
      0.0761232851730987,
      0.100165755874035,
      0.121949141413659,
      0.0942578532883102,
      0.0654855742871304,
      0.0712538489636359,
      0.0710907525736735,
      0.0598330631736958,
      0.0546598206919596,
      0.0545372912738052,
      0.0521400436859627,
      0.0465412053792001,
      0.0421644010857602,
      0.0486185175296134,
      0.0586468570935405,
      0.0581072128949987,
      0.0499743487561759,
      0.0417413243067631,
      0.0371835406104649,
      7.74109989097714e-7,
      0.0118931318364936,
      0.061154831943856,
      0.101812933457722,
      0.0969916653137512,
      0.0798279972676683,
      0.0734389195369304,
      0.0854592664494211,
      0.0958565131738661,
      0.110590580604886,
      0.130949983461165,
      0.133556361338597,
      0.105529385195042,
      0.077926864798462,
      0.083085795301957,
      0.100628307950563,
      0.0938279509864501,
      0.0840761502487811,
      0.0724391201749194,
      0.0612310200422495,
      0.0601442393205298,
      0.0605858294360289,
      0.0569285774270035,
      0.0581297010180128,
      0.0672034300158845,
      0.072050644511054,
      0.0715964756983136,
      0.0847145504747208,
      0.101892783850366,
      0.0987458042132905,
      0.0923255565775922,
      0.0791981746277966,
      0.0696698133513885,
      0.0728358031164989,
      0.0689436431985373,
      0.0667785976811107,
      0.0837820325082092,
      0.0960992732580573,
      0.0923017425751076,
      0.0920149405132533,
      0.0895562583191333,
      0.0864324749135133,
      0.0912102000665306,
      0.0948940057629336,
      0.0846340080415403,
      0.0715401292950108,
      0.075322810595707,
      0.10014295272769,
      0.119890862093044,
      0.108274812105508,
      0.114429431497838,
      0.122571135071191,
      0.0917223146910428,
      0.0666160467163889,
      0.0712382995183365,
      0.0866273565244917,
      0.0980094809801381,
      0.113252964172158,
      0.0955404146614184,
      0.0700469697016119,
      0.0700700408486731,
      0.0836763985301885,
      0.0880150458359656,
      0.0804260905549395,
      0.0782971678947487,
      0.0935630525577445,
      0.102739435162574,
      0.0904117179598637,
      0.088431804927798,
      0.0725855556316651,
      0.0604254487272753,
      0.0684033614036436,
      0.0741273883886828,
      0.0766234208331155,
      0.0861795861187174,
      0.0828836881152735,
      0.0801424324765146,
      0.0877130213097834,
      0.084030432177463,
      0.081940365097619,
      0.0800835587151095,
      0.0723541931942683,
      0.0810066600080677,
      0.0891167399920956,
      0.0867501206910139,
      0.0783324786361397,
      0.0597264721879613,
      0.0535598896041328,
      0.0653918340136262,
      0.0682174302656272,
      0.0615776893724493,
      0.0643660320681145,
      0.0687176162465515,
      0.0711163753895136,
      0.0835360180907746,
      0.106665744949404,
      0.108775488061316,
      0.0987426104783505,
      0.0931242368010566,
      0.0807107038006872,
      0.0698504510931885,
      0.0645244083775923,
      0.0627295666284209,
      0.068323717341171,
      0.070807441204686,
      0.068853954239207,
      0.086300551621931,
      0.1065651024492,
      0.104051215254766,
      0.104091311137475,
      0.0992654899733728,
      0.0769099935782149,
      0.0654482887925744,
      0.0682644739145737,
      0.0669142498586767,
      0.0798023290152934,
      0.100858626446529,
      0.109977595196471,
      0.100103671937166,
      0.0839126600384122,
      0.0691470765574792,
      0.0569191207339781,
      0.0602326823079906,
      0.0831351041267864,
      0.109708713884833,
      0.120255641030392,
      0.10637370026748,
      0.089652612724412,
      0.0873723840144628,
      0.0981333317637783,
      0.0976465562571176,
      0.0796681924529334,
      0.0804424510084048,
      0.0948310042571611,
      0.0938227702131217,
      0.0885854566167585,
      0.0812973332953906,
      0.064220495663069,
      0.061418171601037,
      0.0726543839925863,
      0.0752005984660158,
      0.0834929444722533,
      0.0893062503547926,
      0.0796681167975227,
      0.0830843736137236,
      0.0860605464449946,
      0.0852995162960598,
      0.0868831096334983,
      0.0757598261231748,
      0.0749791628450803,
      0.0908798830531237,
      0.0979074485334621,
      0.098207418309759,
      0.106032466295722,
      0.108823924883298,
      0.103957183213643,
      0.0970575756021343,
      0.0892336218318396,
      0.0895620953006929,
      0.0889973585304017,
      0.0833562124215614,
      0.0827220920064987,
      0.0938751317735578,
      0.101500890252517,
      0.0979067572009701,
      0.0908149510563868,
      0.0715271826702689,
      0.0631752949068572,
      0.0670749506523309,
      0.061041079631298,
      0.051485032943793,
      0.0501349880495485,
      0.0499787805947839,
      0.0504852555086361,
      0.0660830137683159,
      0.0811215231680754,
      0.0782922396639787,
      0.0804043107599075,
      0.0791409894904187,
      0.0650368466722075,
      0.0549402283961141,
      0.0528295145384939,
      0.0600457147889013,
      0.0711908676510578,
      0.0646028254123971,
      0.0570924072039084,
      0.0648036677536145,
      0.0635690019715108,
      0.0538563823276854,
      0.0479121269915679,
      0.0460337305200753,
      0.0466496304768434,
      0.0436660241967217,
      0.0388945679974086,
      0.0450538933315428,
      0.0553207055873695,
      0.0564783250948892,
      0.0488401623576168,
      0.0391119671659185,
      0.0331103496425221,
      2.91907439170566e-7,
      0.0123022423521978,
      0.062775126223465,
      0.102876337062514,
      0.100833733074548,
      0.0861266530657078,
      0.0784820233202552,
      0.0862865280521085,
      0.0937807783345272,
      0.109515532231233,
      0.129770871261323,
      0.131785809445802,
      0.103823456820454,
      0.0773333073058145,
      0.074111012481764,
      0.0909049289068941,
      0.11114187623615,
      0.123903902226152,
      0.0994703413752834,
      0.0684300505753871,
      0.0613095500406656,
      0.0597384145613137,
      0.0543347518413316,
      0.0593728082656661,
      0.0753778286586615,
      0.0787671949086606,
      0.0726185046339259,
      0.0857023905385541,
      0.101696578155675,
      0.0980800260917714,
      0.0933631446186148,
      0.0792587192922052,
      0.069800695933846,
      0.07655505184327,
      0.0734155458145223,
      0.0654278741723944,
      0.0749573112580148,
      0.0904625596256046,
      0.0899761621472233,
      0.0877597497987404,
      0.0874578827789223,
      0.088174352341527,
      0.102199591252803,
      0.0956463611013658,
      0.0754326831283852,
      0.076786797014351,
      0.0878517379476297,
      0.105570814480672,
      0.119106543771071,
      0.102536966384552,
      0.108884166409002,
      0.122800402832523,
      0.0978926527835481,
      0.0773163836707718,
      0.0836853715550861,
      0.0972358471748289,
      0.101491953922271,
      0.110164728686976,
      0.089631001973932,
      0.0696574418718226,
      0.0741105474704825,
      0.085065222173888,
      0.0866735969225683,
      0.072005328620759,
      0.0737736109975185,
      0.107497526062416,
      0.118657272156457,
      0.0834440299618304,
      0.0735615929897703,
      0.0657551071883348,
      0.0570600997346299,
      0.058672019787566,
      0.0619262751708725,
      0.0691935059752604,
      0.0824420171279754,
      0.0822644093452747,
      0.0789120559789484,
      0.0832632926232983,
      0.0801764234281432,
      0.0739099572954461,
      0.0680803545604804,
      0.0652210241835873,
      0.0854444851721258,
      0.105641208819227,
      0.111883046479527,
      0.100277774430612,
      0.0664034707910783,
      0.0488194876650135,
      0.0492417923843327,
      0.0506294673136191,
      0.0493284739431341,
      0.0575600583634866,
      0.0626886577646353,
      0.0598095315072973,
      0.0700377978705439,
      0.0902243239101926,
      0.0977629779886752,
      0.0903520336489906,
      0.0826913819714214,
      0.0690948002716626,
      0.0660015629174858,
      0.0669475800072692,
      0.0661724740491661,
      0.0725287251088816,
      0.0810416842962793,
      0.0818950880331079,
      0.0916785090336415,
      0.103706220267794,
      0.103695118231934,
      0.109848109388648,
      0.106153647291666,
      0.0770338105993572,
      0.0534245212782247,
      0.0580508471243964,
      0.0659602272194066,
      0.089398066970906,
      0.111804350364097,
      0.113578881168547,
      0.104132527847616,
      0.0822023986699962,
      0.0696069129564618,
      0.0672043617104873,
      0.0737623327727109,
      0.0960308131399452,
      0.118271833774075,
      0.117560016736785,
      0.0989069672302018,
      0.0809292432300275,
      0.0783578491963092,
      0.0881917009918278,
      0.0849614093588963,
      0.067881473218867,
      0.0800673757737202,
      0.10310206153659,
      0.0922713639385761,
      0.0736815215013,
      0.0695848104697207,
      0.0598523664423038,
      0.0560482748808276,
      0.0611049794684033,
      0.0648049611852444,
      0.0783517566221504,
      0.0877595173240432,
      0.0804662765505432,
      0.0825766065910398,
      0.0848125688516972,
      0.0806256696364598,
      0.0744629185660565,
      0.0659110939121883,
      0.0728711223549277,
      0.0969295566246981,
      0.106096671484826,
      0.103951749624005,
      0.115338342049311,
      0.112189063164765,
      0.100042940209267,
      0.0938975470101951,
      0.0873373181691872,
      0.0908599897011409,
      0.0949705159925268,
      0.0855810862827252,
      0.0811348704932688,
      0.0944201275430916,
      0.101783723153549,
      0.0986109526143303,
      0.0941137114688382,
      0.0741940411068448,
      0.062576351260812,
      0.0618242763357491,
      0.054056717698212,
      0.0447593829659299,
      0.0456501173474092,
      0.0487291530029323,
      0.045973557320065,
      0.0536352394981744,
      0.072019794206132,
      0.0706022159146769,
      0.0667554799125824,
      0.0758665318410712,
      0.0671707951329968,
      0.0510848293739637,
      0.0483519874742647,
      0.0507235073183469,
      0.0549072757009567,
      0.0560032991370252,
      0.0555647280347826,
      0.0618540641200446,
      0.0622973610688347,
      0.0540877660472832,
      0.0471108805072998,
      0.0454876132838568,
      0.0447606198143292,
      0.0411248610487931,
      0.038478535398743,
      0.0466517916265728,
      0.0561959953277342,
      0.0554885838851546,
      0.0471429130375404,
      0.038391107578539,
      0.0360271672641249,
      1.7491581603748e-7,
      0.012599998503181,
      0.0642919460590662,
      0.104658786372708,
      0.107226364138787,
      0.0970912924017408,
      0.0876132239319215,
      0.089180838077607,
      0.0920471415156127,
      0.110337750614385,
      0.129807491120531,
      0.123723220713409,
      0.097474619187252,
      0.0778473488945785,
      0.0738068522919118,
      0.0955090606918446,
      0.137182286947565,
      0.144960259759054,
      0.101888245768505,
      0.063376579515771,
      0.0539460121379126,
      0.0544560831158052,
      0.0515525299226016,
      0.0578253441238756,
      0.0694952687452569,
      0.0647836496893734,
      0.064032482746513,
      0.0907486479864835,
      0.106539687269309,
      0.0945778598831423,
      0.0874391127935639,
      0.0773742490212558,
      0.0754407229156422,
      0.0873468267257699,
      0.0817234343733061,
      0.0711908198451791,
      0.0774648380086644,
      0.0834451058848553,
      0.077888367302343,
      0.0820348211831921,
      0.105084507540289,
      0.119240628816421,
      0.115689251519257,
      0.0892051681092367,
      0.0666094523374644,
      0.0771354445323297,
      0.0932572403720067,
      0.111565879270064,
      0.115952275843994,
      0.0919698094434388,
      0.0930573961954923,
      0.1020781636721,
      0.0922041178397087,
      0.088097887276667,
      0.104384150394206,
      0.116328518694204,
      0.105688977396839,
      0.101375467884614,
      0.0772212885694308,
      0.0586794735484364,
      0.0671407904313613,
      0.0829052615108967,
      0.0883760739817133,
      0.0718745259260765,
      0.0687841220973954,
      0.0998094012913112,
      0.116023653955763,
      0.0838876270374028,
      0.068919940562867,
      0.0632360359261136,
      0.056972916211632,
      0.0562276689105308,
      0.0560007648178404,
      0.0618773508390461,
      0.0776974329172651,
      0.0913180952959341,
      0.10116865268478,
      0.103081663381785,
      0.0887278673885516,
      0.0701695936320781,
      0.0611350168175058,
      0.061308398168317,
      0.0764783142961129,
      0.100374830620143,
      0.123173393715469,
      0.108399344587312,
      0.0666384033490232,
      0.0466377493054083,
      0.0449978934611148,
      0.046004287245934,
      0.0456251438574434,
      0.0559163640087523,
      0.0596934684401,
      0.0565684909573192,
      0.0691031218286677,
      0.0883530364932092,
      0.0917189781357239,
      0.0805999826930567,
      0.0753878352900244,
      0.0659529413346079,
      0.061522101157616,
      0.0621357935589423,
      0.0653774530144264,
      0.0691395346468044,
      0.0717426747405667,
      0.0735845959915689,
      0.0799919669309809,
      0.0868783508960739,
      0.0865784162057093,
      0.0880278656410381,
      0.0810277519711486,
      0.0636179485544467,
      0.0483375118870429,
      0.0524204302297774,
      0.0688481291490674,
      0.0892694190683663,
      0.0936768146323091,
      0.0893183599146019,
      0.103674350592838,
      0.0967194495130135,
      0.0807435045715178,
      0.0898169564092944,
      0.101981783820247,
      0.108461476946249,
      0.112261708809131,
      0.100507644619405,
      0.0843446869834318,
      0.0774221365483399,
      0.0794488532529801,
      0.0873664700701828,
      0.0826850407288299,
      0.0652088017209384,
      0.0771930041582681,
      0.101005929293815,
      0.094506398271625,
      0.0762132144940718,
      0.0694893083477692,
      0.059678966195697,
      0.0544492423865023,
      0.056123723341155,
      0.0582488422756808,
      0.0707348211394688,
      0.086552806752026,
      0.0951408243023747,
      0.104429364657689,
      0.100757228904645,
      0.0826201199326641,
      0.0665926194645685,
      0.0600288741940354,
      0.0678045043685442,
      0.0877558792482676,
      0.097749263983274,
      0.103795525998724,
      0.121782920436057,
      0.118701282718592,
      0.100300319043629,
      0.0892759701062637,
      0.0832761600270915,
      0.0873956132056897,
      0.0872490978699339,
      0.074269755177151,
      0.0743019690648681,
      0.0947720091078685,
      0.101985790879108,
      0.093319268494717,
      0.0866493068687662,
      0.0718707961579805,
      0.0663880047135757,
      0.0646639001954346,
      0.0544957025044582,
      0.0509918595891096,
      0.0539769264777934,
      0.0532523105833192,
      0.0474501592981286,
      0.0472834384864806,
      0.0589447914621885,
      0.0608925481113932,
      0.0594054052346411,
      0.0739424636698509,
      0.072398221734539,
      0.054018084636604,
      0.0533471847234653,
      0.0571040704246129,
      0.0578959376647553,
      0.0585092235628556,
      0.0539431051064965,
      0.0552694228818159,
      0.057003566767234,
      0.050499822919895,
      0.0425310303216523,
      0.0397587116926787,
      0.0370503804783567,
      0.0358274203659942,
      0.0403498476212498,
      0.0507585190158149,
      0.053035472390296,
      0.0503853816474568,
      0.0453688438848169,
      0.035631377203912,
      0.0304284777778415,
      6.21365242160082e-8,
      0.0125736962170658,
      0.0657524047881352,
      0.10701129367169,
      0.113484851105848,
      0.105432518639363,
      0.0899629392918686,
      0.0866633714927879,
      0.0913261553399845,
      0.119237136085471,
      0.139960012235205,
      0.123232935257793,
      0.0986285215768348,
      0.0858422088855756,
      0.0819412242024529,
      0.10177411104686,
      0.141800075977224,
      0.125959908589185,
      0.0791525059920567,
      0.0541669487780233,
      0.048081015678008,
      0.0502163729883035,
      0.0491811667254166,
      0.0519683129111594,
      0.0590277235181896,
      0.0576545121961329,
      0.0609232255332809,
      0.0799401555755815,
      0.0942564288730388,
      0.0866334004997574,
      0.0778671730401842,
      0.0724647655995256,
      0.0750777769995265,
      0.080461375021153,
      0.072647103746139,
      0.0662528996368221,
      0.0726162222717218,
      0.0736030260940518,
      0.0677811565142142,
      0.0793441062226879,
      0.109792075732561,
      0.117832867321673,
      0.0941825684423305,
      0.0693544079901509,
      0.0581700016891676,
      0.0660919924411378,
      0.0741619577687579,
      0.0868420572320391,
      0.0954927364277138,
      0.0827874472227905,
      0.0867830292718076,
      0.0967771089957207,
      0.0901659250729349,
      0.087126983356653,
      0.102788403288588,
      0.118052089381803,
      0.110809774295644,
      0.103429081552913,
      0.0810374824759319,
      0.0606653237715632,
      0.0639562556435773,
      0.0806878819408952,
      0.0899715749061096,
      0.0732586592279964,
      0.0634929508116432,
      0.0829662035317426,
      0.100089036427113,
      0.0824813604579377,
      0.0714128258165996,
      0.0615156805520761,
      0.053816233594994,
      0.0564380959591367,
      0.0580500497279935,
      0.0599454433019848,
      0.0702341967305009,
      0.090229056519763,
      0.11396006978026,
      0.120832427183133,
      0.0986740810434786,
      0.0725287839149953,
      0.061737928913173,
      0.0601062333233738,
      0.0678678274661966,
      0.0906868630176444,
      0.10731708106999,
      0.0872987763047372,
      0.0583094189215138,
      0.0450326936046873,
      0.0454359629274285,
      0.0487351439117117,
      0.0474730624183466,
      0.051369225611893,
      0.0551639072210631,
      0.0574912887268292,
      0.0694023415907866,
      0.085575029484455,
      0.0893460908623049,
      0.0788593404108998,
      0.0738558236257467,
      0.0649222621829946,
      0.0577791566609371,
      0.0596708872130536,
      0.0654395268289835,
      0.0606340452351721,
      0.0531593721096631,
      0.0558698484008128,
      0.0706534562514117,
      0.0804476651476198,
      0.0768091822154265,
      0.078422743380737,
      0.0697314689555007,
      0.0575895041330192,
      0.0471039690468502,
      0.0474070496547175,
      0.0619208614652386,
      0.0751535254281464,
      0.0736371460145674,
      0.0760511688211534,
      0.103702646022476,
      0.107656513890956,
      0.0833255049268942,
      0.0842118454854283,
      0.093708475109816,
      0.0932558840880248,
      0.0983661332413134,
      0.0928559545962769,
      0.0786441852013235,
      0.0794630626789867,
      0.0787076281523237,
      0.0833384148973502,
      0.0842059092617001,
      0.0667799135007601,
      0.0742717570477906,
      0.097162204196897,
      0.0941410408643319,
      0.0795850430656043,
      0.0720832135714482,
      0.0582988235322631,
      0.0538849910147988,
      0.0581521544456202,
      0.0585956677238793,
      0.0638352102061186,
      0.0810148748706702,
      0.103402713726727,
      0.119328035392085,
      0.109994356339208,
      0.084448415808771,
      0.0675546876791298,
      0.0604030108727569,
      0.0624384129905231,
      0.0727481622976389,
      0.0858938859835596,
      0.100746595430877,
      0.115331593418836,
      0.113185454768497,
      0.0960562978941854,
      0.0836632018691235,
      0.0780417808913596,
      0.079380904987354,
      0.0765296426150477,
      0.0677275533661339,
      0.0699959332659904,
      0.0831393742519729,
      0.089378972072064,
      0.084301891869248,
      0.076436589382424,
      0.064903060681585,
      0.0641093446243597,
      0.0666134623250005,
      0.0560460242235332,
      0.0497776293229722,
      0.0519013498980889,
      0.0528320100000386,
      0.0503301720119617,
      0.0482731922600424,
      0.052108524221801,
      0.0575583408729544,
      0.0611450066903285,
      0.0764891211169512,
      0.0763396488477941,
      0.0551714591851903,
      0.0567009280274453,
      0.0668627105436337,
      0.0680756923762443,
      0.0618413233219245,
      0.0500821695591788,
      0.048640450514896,
      0.0536039004972996,
      0.0499905162097243,
      0.0437235922878774,
      0.0408079757029581,
      0.0358124998943538,
      0.0338307324111059,
      0.0384727785785078,
      0.0464703263457586,
      0.047780006824134,
      0.0489720519966238,
      0.046167576123231,
      0.0348964713171213,
      0.0277221009845826,
      2.42099628405939e-8,
      0.0122399182752487,
      0.0663735121972932,
      0.108719639627033,
      0.114195085022755,
      0.103418360504513,
      0.0835487181161367,
      0.081220098066065,
      0.0950159755242316,
      0.133467650949719,
      0.153977757217726,
      0.126895552240599,
      0.102318908025585,
      0.0963890494762668,
      0.0918956288098081,
      0.0987655997051244,
      0.115626780289833,
      0.0966033388862452,
      0.0662230074887057,
      0.0483704814464794,
      0.0432006075416384,
      0.047911193937721,
      0.0468081204411998,
      0.0459531239522691,
      0.0494776926285284,
      0.0500444889088673,
      0.0550291424338798,
      0.0690475805435223,
      0.0827223622172376,
      0.0819649317561617,
      0.0761455686185082,
      0.0694705731579622,
      0.0725530978464821,
      0.0775749171152337,
      0.0692737441775274,
      0.0626552471594929,
      0.0737716223320199,
      0.0772844944009544,
      0.0694098099788755,
      0.0811208402121951,
      0.0978414510177086,
      0.0934699449015987,
      0.0775416223543358,
      0.0670834165433344,
      0.0578407356506667,
      0.057253634571797,
      0.0662239478268176,
      0.0874530187838788,
      0.0998082253285521,
      0.0828286999723738,
      0.0902943095783164,
      0.110466039336792,
      0.0986720097522169,
      0.0861942479761161,
      0.0993117820788171,
      0.117518751544571,
      0.121105097751086,
      0.114197943870423,
      0.0892345282613832,
      0.0657270525748518,
      0.0603430437697585,
      0.0737782847431721,
      0.0845859857196168,
      0.0714513851668588,
      0.062051945192766,
      0.0810990664120709,
      0.097029855256415,
      0.0824127982241056,
      0.0763097902843416,
      0.0627404664322756,
      0.05338450112641,
      0.0599264751563516,
      0.0652556993323271,
      0.0623395769475933,
      0.0637984014749303,
      0.0800302964637271,
      0.0986683317597942,
      0.103422314650049,
      0.0893892725390264,
      0.0743541899341588,
      0.0697432453792346,
      0.0639733596759078,
      0.0625476618147214,
      0.0760602369013102,
      0.0863687264438939,
      0.0734883070293599,
      0.0548455956964608,
      0.0458175134960949,
      0.0499142625272557,
      0.0532714196543956,
      0.0507455480349389,
      0.0493179268484241,
      0.0495058365684449,
      0.0525909877365958,
      0.0632506277700039,
      0.078131042728708,
      0.0856931196304763,
      0.0823985571300925,
      0.0777193801046178,
      0.0660938343810609,
      0.0570716770260828,
      0.0581512021946317,
      0.0650065105601948,
      0.0609022807124366,
      0.0533405823732236,
      0.0563538257036502,
      0.0769223201213567,
      0.090854511847527,
      0.0814024330928699,
      0.0805434686933251,
      0.0694265888575124,
      0.0538601896749659,
      0.0453423067477175,
      0.0487183960231125,
      0.0599626235964548,
      0.0694978979548544,
      0.0700360323352171,
      0.0745640654514575,
      0.0913359799483642,
      0.0981352732769721,
      0.0761823470197961,
      0.0661682074221219,
      0.0718143175818821,
      0.0785454434205892,
      0.0946680598745467,
      0.0966517516448902,
      0.0860903259655602,
      0.0843779893858954,
      0.0810126476948827,
      0.083547827373703,
      0.0841024846374706,
      0.066232251990419,
      0.0695892799102365,
      0.0907861004811055,
      0.0935241772332887,
      0.0887044206486893,
      0.0805972677938813,
      0.059894854950312,
      0.0541539589195147,
      0.0633503521822897,
      0.0662786383706379,
      0.0632868232305258,
      0.0721266300197396,
      0.090093161240666,
      0.102646195759209,
      0.0988556897807979,
      0.0834197695420354,
      0.074790161082417,
      0.0671611925874497,
      0.0611159921971914,
      0.0646320615741111,
      0.0760245219050887,
      0.0895808077666308,
      0.101633441518934,
      0.102704353914603,
      0.0921467557232874,
      0.0862326742996246,
      0.0802535197721544,
      0.0738693622173426,
      0.0675884553608626,
      0.0621447080276938,
      0.0659746853247194,
      0.0755046927258537,
      0.080101155888186,
      0.0798409918126827,
      0.0742646032069885,
      0.0601280418315142,
      0.0611184321459086,
      0.0686519172994329,
      0.0587448010826149,
      0.0452380560232275,
      0.0466378204232225,
      0.052901460040203,
      0.0539651584541016,
      0.0549525435531047,
      0.0565794734699129,
      0.0629874284607804,
      0.0688336741936759,
      0.078211783429453,
      0.075750609318941,
      0.0571439411953319,
      0.0588097976411293,
      0.0736733494950916,
      0.072657618641963,
      0.0536370942691498,
      0.0420458502102952,
      0.0460654082015034,
      0.0528639888274664,
      0.0480825597985459,
      0.0428680526003418,
      0.040832391989012,
      0.0345981545853264,
      0.0312907565590993,
      0.0345560866728395,
      0.0411584551976777,
      0.0424161975628778,
      0.0430562662187453,
      0.0428000988955225,
      0.0343736901315921,
      0.0254583154818431,
      4.27338141144552e-9,
      0.0119722444337615,
      0.0638880644920083,
      0.106122701700921,
      0.108293567233021,
      0.0936748478048873,
      0.0766796725578655,
      0.0788659988922959,
      0.0976147336009722,
      0.137365396754496,
      0.156383055615362,
      0.126515198914012,
      0.101759113987362,
      0.0979700263425939,
      0.091288131736743,
      0.0931404222490415,
      0.0968484817095725,
      0.0769693794635148,
      0.0580380035609965,
      0.0442442988240526,
      0.0400826072715986,
      0.0459978441330181,
      0.0451624076030371,
      0.0443405076188719,
      0.0461985676699943,
      0.0447983727305552,
      0.0485727483676752,
      0.0624832651571324,
      0.0762341465931261,
      0.0824483927845886,
      0.0820955567770001,
      0.0712299593948324,
      0.0714601534190478,
      0.0754561359185175,
      0.0655849760171933,
      0.057219303009229,
      0.073790646104731,
      0.084914142036322,
      0.0804123585165873,
      0.0878798320959726,
      0.0883666774474987,
      0.077255056754167,
      0.0762488467980353,
      0.078169038346442,
      0.0634210607910897,
      0.0562739513779633,
      0.0681918904713781,
      0.0922456373629689,
      0.100519401280666,
      0.0783380432963124,
      0.0925324868929016,
      0.11875229211948,
      0.0987062870672232,
      0.0792349458197081,
      0.0898036448957849,
      0.104700589607037,
      0.112258214906332,
      0.117408564933989,
      0.09530023361622,
      0.0673520096720996,
      0.0568430606242655,
      0.0657401554939196,
      0.0727542303745727,
      0.0640904909570561,
      0.0612441950268014,
      0.0793785232539618,
      0.0933952812345877,
      0.0781721778043234,
      0.0729882191500501,
      0.0622793573579336,
      0.0531389032432284,
      0.0659102801148327,
      0.0804792458109584,
      0.073744712864676,
      0.0635919934962527,
      0.065149149544768,
      0.0735528872970404,
      0.0811861683493482,
      0.0781790998698992,
      0.073484713673784,
      0.0770947944144914,
      0.0684949669553385,
      0.0569623744153799,
      0.0597259379188306,
      0.0635288016753745,
      0.0561200617948623,
      0.0464264460915862,
      0.0420416645513404,
      0.048927163509021,
      0.0523831139419225,
      0.0486013735043377,
      0.0471460194015749,
      0.045582968791549,
      0.0460942445933504,
      0.0573672102224932,
      0.0751267083040965,
      0.080652224761188,
      0.0819388266885238,
      0.0778712096319782,
      0.0656662884689522,
      0.0568686132543784,
      0.0514855948899082,
      0.057878374376544,
      0.0639352333310064,
      0.0573100072282402,
      0.0570586390547891,
      0.0738593781664313,
      0.0875003697816157,
      0.0815482184446264,
      0.0764707275429847,
      0.0623104818357895,
      0.0506690763828913,
      0.0525140675302046,
      0.0597226116644127,
      0.0730071738889506,
      0.0857169938823604,
      0.0772499206799019,
      0.0714745994421394,
      0.0807812578813868,
      0.0790030591877233,
      0.0607347126951701,
      0.0552533385298816,
      0.0611167113321511,
      0.0736812412930697,
      0.0964837021444722,
      0.108821549696108,
      0.101279385407545,
      0.0869990331348001,
      0.0783152810312872,
      0.074885079011435,
      0.0719295433444328,
      0.0602319365274358,
      0.062245932241177,
      0.0799590951310084,
      0.0838763569246353,
      0.078939918681181,
      0.0743972792579231,
      0.0573935508926133,
      0.0539545717033635,
      0.0735576160185084,
      0.0813893899813774,
      0.0696334779891059,
      0.064648733292045,
      0.0690964200101213,
      0.0773642900620239,
      0.0818655627940177,
      0.0778556402588728,
      0.0803554782462599,
      0.0766233520570161,
      0.0606350606022419,
      0.0562128492902453,
      0.0634467267907248,
      0.0745357427667903,
      0.0902865013589371,
      0.0970842132592086,
      0.0900507528066245,
      0.0893580528285582,
      0.0845524405263608,
      0.0759537388182429,
      0.0676037125584377,
      0.0585857843083303,
      0.0606012702501905,
      0.0711467651126717,
      0.0755260883845808,
      0.0813342207326557,
      0.0805046441760929,
      0.062844597854008,
      0.0626962445296699,
      0.0646961933154145,
      0.0509330346273853,
      0.0390929601941186,
      0.0426967779030192,
      0.0505894822618438,
      0.053000594541706,
      0.0562046793191719,
      0.0595537340819852,
      0.0628722669013691,
      0.0677345292519345,
      0.0685027032370381,
      0.062766897598801,
      0.0525151034782822,
      0.0532172708347748,
      0.0648879876519102,
      0.0663517738099462,
      0.0486849022667233,
      0.0390419726623144,
      0.0455004330541857,
      0.0503309586931445,
      0.043241204707168,
      0.0389888768549043,
      0.038837989554957,
      0.0328313329151616,
      0.0282761202254654,
      0.0302194426457878,
      0.0385903827135439,
      0.0398169230765988,
      0.0384687363833222,
      0.0395174826319404,
      0.0322188523409411,
      0.020874295889956,
      5.89562224269474e-18,
      0.0112483982645269,
      0.058039082809339,
      0.0986758254452035,
      0.0997557697112275,
      0.0839143403936259,
      0.0744177619715247,
      0.0798050074853676,
      0.093238336155233,
      0.124942761905426,
      0.142005932124252,
      0.121728598736294,
      0.0980480811854368,
      0.0876456678892373,
      0.0798793995341582,
      0.0836404732011031,
      0.0826105038866596,
      0.0623000706200402,
      0.0485343142533052,
      0.0415852119886689,
      0.0417497000793682,
      0.0458287551154373,
      0.0434866792818237,
      0.0427427593986245,
      0.0456129200955975,
      0.0459908915199394,
      0.048778936326098,
      0.0612051387960149,
      0.0751737910363295,
      0.0828416674966054,
      0.0842752406254768,
      0.0721173874188421,
      0.0723443637010065,
      0.0808468303178813,
      0.0722046895340276,
      0.06064866374192,
      0.0722613070518903,
      0.0870457458388277,
      0.0883761743235664,
      0.0882200944888085,
      0.0784212435102714,
      0.0734004832624894,
      0.0817930790830165,
      0.0847330811302384,
      0.0683989496618671,
      0.0564103744553582,
      0.0636088813485774,
      0.0789195538795575,
      0.0844717641111389,
      0.076975666908834,
      0.10642931438106,
      0.126785613940731,
      0.089770914361404,
      0.0667954340990956,
      0.078763519332517,
      0.0903058498834383,
      0.0912468361054529,
      0.10276216838509,
      0.0870808429674083,
      0.0627843281738556,
      0.0553031510941429,
      0.0643428147832072,
      0.0692944364541431,
      0.0642082533804213,
      0.0658648193103383,
      0.0761409319705325,
      0.0893808656171875,
      0.0773468816470074,
      0.0718935431537371,
      0.0635753477101377,
      0.0541009208702045,
      0.0687325473468089,
      0.0866992861903579,
      0.080428545877901,
      0.0677135205730289,
      0.0570379664517887,
      0.0543837925721239,
      0.0615451350626865,
      0.0707242475347776,
      0.0770381492450442,
      0.0824785710999802,
      0.0728423530622965,
      0.0562224354151298,
      0.0501484349122425,
      0.0474610569825973,
      0.0426064448312935,
      0.0377863682685883,
      0.0371469048323325,
      0.0447350977172067,
      0.0476256840679247,
      0.0430629159025716,
      0.043215177839903,
      0.043331494813103,
      0.0435278256703021,
      0.0534317197457773,
      0.0710345789059297,
      0.076785704056651,
      0.0794950876352523,
      0.0741949955908438,
      0.0621987747149118,
      0.0602839339036054,
      0.0557300412567043,
      0.0554805474428042,
      0.0618298277453189,
      0.0568452875219557,
      0.0583145636255617,
      0.0767068041773699,
      0.0877768078743619,
      0.0833781073604132,
      0.07924082798202,
      0.0608569873607054,
      0.0526904244782028,
      0.0617619647053336,
      0.0655226668055621,
      0.0726891574284912,
      0.0852635931089469,
      0.077847805335552,
      0.0752534431217128,
      0.0839886360242521,
      0.0764451227124273,
      0.0610494385556522,
      0.0557886748570795,
      0.0613957155704509,
      0.0733170550976348,
      0.100718179092643,
      0.126677225281901,
      0.114327344667262,
      0.0851608923954953,
      0.0728794894908824,
      0.0713865815384776,
      0.0668879234379549,
      0.0617784336758714,
      0.0633678428049544,
      0.0744687196747409,
      0.0777403756827811,
      0.0721471903813868,
      0.0692106416971315,
      0.0557092124910131,
      0.0569524015858286,
      0.0810354876456452,
      0.0877265225314669,
      0.0750902109701073,
      0.0637282634623364,
      0.0553057587237067,
      0.0572779607730094,
      0.0666756792129253,
      0.0755600083891069,
      0.0816941772090787,
      0.078362559976378,
      0.0620056046585553,
      0.0539967009739363,
      0.056264055041737,
      0.0617860134374024,
      0.0768169224430998,
      0.0893575334836068,
      0.0901163500934725,
      0.0919614442793357,
      0.0857191599845626,
      0.0785705228484383,
      0.0716725948640661,
      0.0602190760595355,
      0.0587950561879129,
      0.0695051811456095,
      0.0760408840635737,
      0.0820763214012791,
      0.0814077192627508,
      0.0633725896092074,
      0.0621869154863841,
      0.0597834867404645,
      0.0447428386590199,
      0.0390067581879404,
      0.0440870649297903,
      0.0487750624979604,
      0.0523593507535785,
      0.0608039071301886,
      0.0663272073336395,
      0.0599150866390543,
      0.0597676267759537,
      0.0598376953419279,
      0.0553248278331464,
      0.0469385464017422,
      0.0457787294634264,
      0.0543384924908939,
      0.0603464099016771,
      0.0510412690650642,
      0.0422247711344168,
      0.0473521820939551,
      0.0472712218480227,
      0.0388387913705592,
      0.0357438330692416,
      0.0365865461242825,
      0.0322258807839659,
      0.0275500631003932,
      0.0273269309766825,
      0.0372705621039162,
      0.0415344472274989,
      0.0379038398580518,
      0.0368562218681177,
      0.0294582301689036,
      0.0178414988123195,
      -5.89562224269474e-18,
      0.0102461153750452,
      0.0534392483331025,
      0.0919251735069357,
      0.0924713183384628,
      0.0789412196784818,
      0.078720139764171,
      0.0872827687656619,
      0.0905753914127918,
      0.109342620934388,
      0.121658297045312,
      0.113599494932191,
      0.0925356017216813,
      0.0731472151322772,
      0.0683421296033505,
      0.0776716407029574,
      0.0746855565222907,
      0.0546336820347185,
      0.042271195072709,
      0.039800953780678,
      0.0437683900108207,
      0.0472478948185631,
      0.0440479302500253,
      0.0442993028874525,
      0.0478550415731149,
      0.0491407654351379,
      0.0520888559102012,
      0.0646997825960673,
      0.077990875216878,
      0.0811855702170535,
      0.081044824754161,
      0.0709082878539847,
      0.0757814839286913,
      0.0831331801942749,
      0.0711803074727634,
      0.0592206649991707,
      0.0683369171207369,
      0.0822343368299469,
      0.0814652573440309,
      0.07776047752312,
      0.072609851869767,
      0.0793627123391145,
      0.0847982297334497,
      0.080128819113402,
      0.0709837993302866,
      0.0630570813872274,
      0.0628069612811653,
      0.0746467181651452,
      0.0873009385435304,
      0.0865544480957679,
      0.117739240470585,
      0.133465544818898,
      0.0941087557613958,
      0.0660904312092502,
      0.0727399580159496,
      0.0815305751917158,
      0.0776107076693323,
      0.0851927984526198,
      0.0744083400610257,
      0.0617225611178535,
      0.0625034091957175,
      0.0702404585113395,
      0.0675080196108812,
      0.06519704003938,
      0.070049566320918,
      0.076363780650471,
      0.0928484154152132,
      0.0817505488618832,
      0.0750044303731567,
      0.0662279932538561,
      0.0567478390773408,
      0.0664818331281303,
      0.0768952884954761,
      0.0730251952809585,
      0.0669782511301699,
      0.0557788300538903,
      0.048663369135194,
      0.0522258363058309,
      0.0670872775314556,
      0.0779576330734255,
      0.0794744560332609,
      0.073135674811863,
      0.0598735931252167,
      0.0516682629616972,
      0.045047576069107,
      0.0384453221447989,
      0.0340722303085195,
      0.0347442812091818,
      0.0419562120079019,
      0.0449717528420068,
      0.0422757255380835,
      0.0437922723431271,
      0.0454150025301303,
      0.0466908148741097,
      0.0550830235558489,
      0.0707110043308326,
      0.0741112795763377,
      0.0738819784623851,
      0.0673545991205403,
      0.0579790493452622,
      0.0636263968077345,
      0.064609217737249,
      0.0571370290715562,
      0.055823889707129,
      0.0624979459073817,
      0.0697024046828432,
      0.0875379297266699,
      0.0975908355482172,
      0.0837600186100511,
      0.0827421945284705,
      0.0695865056199455,
      0.0633223752058382,
      0.0766081357485021,
      0.0811276644269168,
      0.0677654349427022,
      0.0638901471439925,
      0.0657925739100837,
      0.0766821308029957,
      0.0875845205353451,
      0.0867565430157574,
      0.0739323148860331,
      0.0613549811049994,
      0.0657266851120625,
      0.0742758561915175,
      0.0922350807737181,
      0.106828479666603,
      0.0957150543445955,
      0.076730095106074,
      0.0693807147320661,
      0.0700652675758292,
      0.0653185254722333,
      0.0629081517187185,
      0.0662182689022234,
      0.078331519455137,
      0.0794252413371043,
      0.0696994979521927,
      0.0670843316483466,
      0.0569642995181116,
      0.0585358923350926,
      0.0735058972642099,
      0.0754954166599872,
      0.0714778597878291,
      0.0643145889176018,
      0.0513181943026596,
      0.048610620414807,
      0.0590924994640319,
      0.0771310804021703,
      0.0823781202913608,
      0.0777426624610551,
      0.0653635662662636,
      0.0560630323346906,
      0.0557139747885329,
      0.0575825852715791,
      0.0691237928095123,
      0.0847344672561879,
      0.0895507908443879,
      0.0896863119491079,
      0.0830507714925466,
      0.0808296466391663,
      0.0782395941540629,
      0.0668450752933406,
      0.0635413556395403,
      0.0729116996950282,
      0.0779962322841477,
      0.0799697690232019,
      0.0773364040654285,
      0.0603548815787355,
      0.0605484652898631,
      0.0611001562611929,
      0.0497201822397784,
      0.0482867710956519,
      0.0520408939229817,
      0.051572537214739,
      0.0545598802271727,
      0.0600070154186076,
      0.0627472368923631,
      0.0562641170796137,
      0.0529267537166768,
      0.0544889042414859,
      0.0579357774836903,
      0.0476021524360339,
      0.0459766092601373,
      0.0533001117209886,
      0.053359109950048,
      0.0479716355001691,
      0.0422040648390651,
      0.0469718338970476,
      0.0454059459094892,
      0.0374530380145913,
      0.0351412001953023,
      0.0358914117460409,
      0.0321416776180646,
      0.0287517146984553,
      0.0273335252995062,
      0.0340395147979551,
      0.0396907268084276,
      0.037246946275021,
      0.034902582396346,
      0.0280248977062589,
      0.0167682718797547,
      2.3582488970779e-17,
      0.0101187260973356,
      0.0532023455209703,
      0.0890103687189516,
      0.0867782216469058,
      0.0759161296634848,
      0.0844344725417868,
      0.0974675656531439,
      0.0924484651793344,
      0.101787405950399,
      0.111429499444733,
      0.107727555153541,
      0.0892015295080233,
      0.0676364727229906,
      0.0653740755843965,
      0.0768077397174469,
      0.0711703162555565,
      0.0511701669391384,
      0.0410687037479905,
      0.0427073910533672,
      0.0468818682218194,
      0.0476148580126203,
      0.0449746573219638,
      0.0478139999433473,
      0.0497093629588458,
      0.0478562713633856,
      0.0518714127175368,
      0.0672112906984077,
      0.0808988513313497,
      0.0784152906614728,
      0.0747729066314516,
      0.0662067784253159,
      0.0749841891661581,
      0.0770465719028932,
      0.061820379982252,
      0.0575090396114153,
      0.066114183758639,
      0.0672860621059465,
      0.0627169977288905,
      0.0701491589082239,
      0.0767783475150195,
      0.0850042994556836,
      0.0815639420745274,
      0.072106601621159,
      0.0678468666619627,
      0.0624920681610262,
      0.0598077171186969,
      0.0767379947657504,
      0.094834841099999,
      0.085795205542822,
      0.105895206562629,
      0.127048985318443,
      0.0991456663039383,
      0.0708180902344474,
      0.0783560303540825,
      0.0834340123506405,
      0.0724142655614113,
      0.0762562702146173,
      0.0641190075876416,
      0.0560459292773754,
      0.06254078270073,
      0.0678944118012705,
      0.0627453613178854,
      0.0629390152078451,
      0.0678473459116934,
      0.0807027815128317,
      0.105356973185478,
      0.0895439414541129,
      0.0756981234612883,
      0.0663464661506792,
      0.0584554665960449,
      0.0659328905913231,
      0.0721393152570249,
      0.066329213246765,
      0.0633703179890842,
      0.0578769113829796,
      0.0520492130687727,
      0.0518087480798146,
      0.0637604628976207,
      0.0731290719907177,
      0.0723316529629008,
      0.0680961559157606,
      0.0596226475508521,
      0.052264577853484,
      0.0458309177101143,
      0.0392648175013716,
      0.0362546551571278,
      0.0370588552661255,
      0.0427674489523985,
      0.0454006616600792,
      0.0448685996520911,
      0.0475965742037575,
      0.0463079794336762,
      0.0463610330456838,
      0.0573424353328966,
      0.0759320980310695,
      0.0760246262727402,
      0.0705442016383245,
      0.0631874528258541,
      0.0577144766927826,
      0.0624227035782088,
      0.0619843370183322,
      0.05403559280293,
      0.0493073828694671,
      0.0602013607628982,
      0.0693250638718014,
      0.0852339839868861,
      0.0957650861468786,
      0.0793793196697759,
      0.074829003062871,
      0.061774119879471,
      0.0521416694010315,
      0.0691041840930443,
      0.0863835181214721,
      0.0656751723021855,
      0.0524533450179754,
      0.0602888512330866,
      0.0752634088351935,
      0.0851807233799041,
      0.0864605760191776,
      0.0759201355703728,
      0.0615942693230374,
      0.0611234253556793,
      0.0711424084541449,
      0.0846586693076495,
      0.0806198263090019,
      0.0689964682207939,
      0.0643907870266267,
      0.0641588350544978,
      0.0658732592093006,
      0.0642129426786362,
      0.0638639625465893,
      0.0680254008635641,
      0.0857432218802508,
      0.0883039160995489,
      0.0704861751762202,
      0.0652921446807105,
      0.0584838730659768,
      0.0596418684081458,
      0.0709140448794518,
      0.0705383291260482,
      0.0656035769745313,
      0.0622775419853154,
      0.054404486900706,
      0.0505726376724098,
      0.0568892726436695,
      0.0722394741012137,
      0.074788392882963,
      0.070312931113298,
      0.0635585648108364,
      0.0565090202366215,
      0.05435383829947,
      0.0559809961911534,
      0.0669594530333147,
      0.0852326937812196,
      0.0886694420399073,
      0.0833482133411037,
      0.078439115542844,
      0.0807850934315414,
      0.0783973571264105,
      0.0669293731725871,
      0.066080833772584,
      0.0769203386142418,
      0.0804237485130362,
      0.0775914351269646,
      0.0722991266270629,
      0.0570714289180709,
      0.0581742109889923,
      0.0627547552546918,
      0.0573390543699278,
      0.063646306416416,
      0.0636010818213812,
      0.0543264770321053,
      0.0565140164291568,
      0.0563745605203475,
      0.0525868168752538,
      0.0496544268214476,
      0.0504204648862984,
      0.0536808215500204,
      0.0556172349736956,
      0.044993665559438,
      0.0468552419036738,
      0.0521764195914788,
      0.0451592364360305,
      0.0414748118196602,
      0.0405655008220768,
      0.0444057103084228,
      0.0418368627641634,
      0.0367919729919764,
      0.0371843419867862,
      0.0367164206080642,
      0.0337499494849019,
      0.0328865221468072,
      0.0294151875044818,
      0.0315430367627892,
      0.0367752129257375,
      0.0367625484334716,
      0.0349749844751085,
      0.0289113493888222,
      0.0177287719464098,
      0,
      0.0116240299036252,
      0.0585843250923188,
      0.090377144410721,
      0.0841554517341088,
      0.0745110784813606,
      0.0872785686183959,
      0.103325580319515,
      0.0925059004579557,
      0.0973945536341125,
      0.11556926677309,
      0.113496540565241,
      0.0880968738213287,
      0.068016081152169,
      0.0692263712491588,
      0.0817746857959821,
      0.0705837580599869,
      0.0481491869061219,
      0.0408824649933839,
      0.0461728140583423,
      0.0492043172864279,
      0.0467860609025591,
      0.0457599736157004,
      0.0506570975222725,
      0.0495470464915888,
      0.0454158463064601,
      0.0523537968171009,
      0.0724798375627467,
      0.0875289032178938,
      0.0778347634050149,
      0.069879525884347,
      0.0639910222028022,
      0.0720012404647594,
      0.071189043452944,
      0.0579110375768784,
      0.0606506867646805,
      0.0706205657297246,
      0.0642834094302093,
      0.0597902561158708,
      0.0754946500419852,
      0.0837766893767235,
      0.0854005744986922,
      0.0781624248715759,
      0.0664806189331714,
      0.0619104842148672,
      0.0590564578767704,
      0.0561271143084963,
      0.0664933936883179,
      0.0806394247525862,
      0.0744603218562399,
      0.0965695409000874,
      0.124821759829088,
      0.102250763023429,
      0.0754585798849394,
      0.0798848600112564,
      0.0827597271611371,
      0.0750165027410311,
      0.0740500455071554,
      0.0566070580291459,
      0.0497282657163276,
      0.055162762091447,
      0.0643156961748009,
      0.0681942480764397,
      0.0571920612194352,
      0.0534563356550184,
      0.0717833270536204,
      0.10260655060622,
      0.0964783417546685,
      0.0776377344274808,
      0.0634471601337501,
      0.0615860877924105,
      0.0712083757631508,
      0.0727217282824747,
      0.0653354296601131,
      0.06695877433798,
      0.0685928860631433,
      0.0653535718200603,
      0.0653748914765558,
      0.0747067117441893,
      0.0794959265685418,
      0.0760543562934117,
      0.0714565864113596,
      0.0630824855685794,
      0.0568279572244569,
      0.0551641779065619,
      0.0470320398590966,
      0.0426837966334318,
      0.0443141675486539,
      0.0491629219199267,
      0.0515594472202396,
      0.0529292699540081,
      0.0524653789836469,
      0.0457618130428136,
      0.0469896254048295,
      0.0618215976475151,
      0.0848242915180139,
      0.0850012393822798,
      0.0751143983096572,
      0.0719189679153882,
      0.069760641237239,
      0.0637492386412214,
      0.0579015849909527,
      0.0571358146218126,
      0.0532098182093563,
      0.053702782053708,
      0.0548262735720886,
      0.0614130889008727,
      0.0757320391936662,
      0.0776013489788941,
      0.072272402883307,
      0.0578143230355787,
      0.0462434068058161,
      0.0546715926394079,
      0.0672775387991653,
      0.0584229464239304,
      0.0619406494079325,
      0.0729769222052982,
      0.0797541746440692,
      0.0847844461495367,
      0.0851486536921188,
      0.0708777726970417,
      0.0610502451519471,
      0.061311727298649,
      0.0734548421781949,
      0.0905225889806419,
      0.0804922221256087,
      0.0679439413182436,
      0.0672954971216735,
      0.0641823965338202,
      0.0695281276801007,
      0.0705997664282701,
      0.0604803167275601,
      0.0641660864476918,
      0.0897144438738692,
      0.10486463341876,
      0.0875514086302656,
      0.0702599323206802,
      0.0617521299341225,
      0.0647161435858884,
      0.0721094299167548,
      0.0683576868016434,
      0.0656112154622932,
      0.0694106495188229,
      0.0678283384622371,
      0.0644845455180361,
      0.0691132419881795,
      0.08029705402212,
      0.0793056995919558,
      0.072931390715998,
      0.0671322840557245,
      0.0598136075535226,
      0.0556531818910128,
      0.057887544364254,
      0.0690872249792766,
      0.0881379445465535,
      0.0903176268201062,
      0.0796440921053515,
      0.0760502016218083,
      0.0820770023753626,
      0.0761621554172752,
      0.0645107273280772,
      0.0675984430496436,
      0.0810414776027041,
      0.0842455046466687,
      0.07658208417177,
      0.0691820535478422,
      0.0588709071876171,
      0.0601769536795249,
      0.0649242298002859,
      0.0618088237451593,
      0.0670573317999811,
      0.0649287101471796,
      0.0583609360364377,
      0.0635009499936355,
      0.0627885575374729,
      0.0551307311952399,
      0.0518461541691623,
      0.0601111761572078,
      0.0713445979193656,
      0.0698605398125202,
      0.0520325559064256,
      0.0529971784032738,
      0.0607046832903585,
      0.05365995817676,
      0.0445354592142213,
      0.0436116107061963,
      0.047648606516461,
      0.0432855934003803,
      0.0392985961931936,
      0.0421164429998284,
      0.0420586544083046,
      0.0396671427267651,
      0.0390706559004916,
      0.0323408596535511,
      0.0326588648079287,
      0.0369589293910641,
      0.0375186442928474,
      0.0358343148097638,
      0.028340133412841,
      0.0172125428194271,
      -4.12693556988632e-17,
      0.012355842536733,
      0.0635341839329517,
      0.0937066986739411,
      0.0828443323763664,
      0.0730255756219533,
      0.082812621662216,
      0.0932282093659768,
      0.0811858143706086,
      0.0891932492003478,
      0.128917683783045,
      0.133240560615832,
      0.0881351512698047,
      0.0654369303350515,
      0.0713708067079655,
      0.0901051017724566,
      0.0754406329943095,
      0.0487760968000432,
      0.0409695370393204,
      0.0445994755534379,
      0.0476290732957994,
      0.045854594826585,
      0.0459285256118072,
      0.0516156868992493,
      0.0502670865307171,
      0.0479081194103019,
      0.0550244546724785,
      0.0688545066924161,
      0.0821200315107782,
      0.0747637835705861,
      0.0676144458308773,
      0.0673319490177953,
      0.0709161489368545,
      0.0696695892641942,
      0.0621586326482094,
      0.0623592448777558,
      0.0714682216233345,
      0.0732324006510919,
      0.0732308215577352,
      0.0811727569284006,
      0.0899860957346998,
      0.0997214004052645,
      0.0905277593566361,
      0.0719391548969655,
      0.0636300967142552,
      0.0663356840571796,
      0.0691620185878745,
      0.0780683738004899,
      0.085843672588044,
      0.0826461115910808,
      0.1034490429664,
      0.120149952774052,
      0.101673860669789,
      0.0821279998695679,
      0.0832993800359734,
      0.0940351497534642,
      0.106871850689958,
      0.104408998435901,
      0.0687078798507202,
      0.0523180159962187,
      0.0576266484244584,
      0.0835433158184773,
      0.0917674132191197,
      0.0584208421316967,
      0.0487369732600996,
      0.068363072406771,
      0.0984659819040506,
      0.109992519801815,
      0.0953767591268699,
      0.0700862358780287,
      0.071599396362991,
      0.0901379478072927,
      0.0906058525718239,
      0.0806441275270547,
      0.0869506435617652,
      0.0965001932344562,
      0.0956040913418351,
      0.0936983278043499,
      0.103360837170828,
      0.108251499520111,
      0.0969140112908808,
      0.0841363410425033,
      0.0741501045533955,
      0.0724045460775263,
      0.0809159964859863,
      0.0688966674509709,
      0.0558305161408625,
      0.0566286902910078,
      0.0656192003812105,
      0.0692983976089091,
      0.069457002341172,
      0.0641648173735031,
      0.0518952995278082,
      0.0555549193329825,
      0.0719157071428791,
      0.0952194822833125,
      0.0981342748461541,
      0.0872100068524839,
      0.0938749291926161,
      0.0972838706245986,
      0.0748341268564625,
      0.0651659345926482,
      0.0765500996557355,
      0.0738215871709657,
      0.0632026517919681,
      0.0609061648390934,
      0.0647670571010853,
      0.0865877130734788,
      0.118034680055945,
      0.105134053478293,
      0.0716098674851148,
      0.0622526834756123,
      0.074974154958526,
      0.0795723564159496,
      0.0691720381963239,
      0.0825908475488219,
      0.0948082506800803,
      0.0988383078592642,
      0.102199405092846,
      0.0992854127664718,
      0.0780297847349713,
      0.0705867302607905,
      0.0740868592079295,
      0.0840559393941235,
      0.105751919145776,
      0.104705644933609,
      0.0885103240103974,
      0.079815820454465,
      0.0809323776581825,
      0.0987948732869416,
      0.0902997727311789,
      0.0632004938427028,
      0.0669840759560346,
      0.0941851499785695,
      0.122398447650968,
      0.122110511087672,
      0.0940421584862203,
      0.0745311965981222,
      0.0834183855267656,
      0.0940801414030691,
      0.0843864421964596,
      0.083349350965901,
      0.0947639340261346,
      0.0973481816127225,
      0.0945513465061309,
      0.100027738716574,
      0.111094690602847,
      0.107661438027509,
      0.0928583140177949,
      0.0783668150596764,
      0.0667239134007627,
      0.0616484688459767,
      0.0659239971332123,
      0.077908718013991,
      0.0948665471716624,
      0.0969716630825801,
      0.0805125455134019,
      0.0787630150551933,
      0.0884679024277124,
      0.0794144867607065,
      0.0668884482682607,
      0.0689663119720301,
      0.0778874457740667,
      0.0793610362191563,
      0.073486689250615,
      0.0679890230508669,
      0.0663445234029656,
      0.0699257685076662,
      0.075984721933127,
      0.0732118866533002,
      0.0668797405909104,
      0.0634692288160081,
      0.0702717414529452,
      0.0842923980789986,
      0.0964235358556563,
      0.0887179339093118,
      0.0761143791627865,
      0.0954369196220381,
      0.113590278404585,
      0.0993836868167085,
      0.0718127291657204,
      0.0733304669463296,
      0.0914500506656119,
      0.0882002066021097,
      0.0623094927230828,
      0.053110264698852,
      0.0576518847591609,
      0.0538980063399776,
      0.0478044117215398,
      0.0468534606891316,
      0.0453433064290724,
      0.0398871294387945,
      0.0372594255238122,
      0.0332710174278038,
      0.037976737971688,
      0.0407819062888504,
      0.0409876127861559,
      0.0377991096850825,
      0.027012025874317,
      0.0163358608938325,
      -1.76868667280842e-17,
      0.010372263298963,
      0.0595414483254133,
      0.0904141435020281,
      0.077290215416239,
      0.0668751545138318,
      0.0709121621747203,
      0.0753990564058288,
      0.0699820994111961,
      0.0838046385499233,
      0.140605360515202,
      0.151181406333138,
      0.0887509542896648,
      0.0618166572054817,
      0.0677626675861798,
      0.0852162778327964,
      0.0733296417430398,
      0.0525205717817493,
      0.0429948751347631,
      0.0408450174617871,
      0.0438068591037294,
      0.0456542040713211,
      0.0455446536733037,
      0.0509294854335924,
      0.0496919861866798,
      0.0466609624378572,
      0.0533225682209223,
      0.0665150628023893,
      0.0806072112305225,
      0.0747092759346265,
      0.0704276282247162,
      0.0739113497487862,
      0.0742683158218701,
      0.0740274250147929,
      0.0735151680433596,
      0.0675592088756981,
      0.0702384086674325,
      0.0830502717247662,
      0.0883639416979352,
      0.0883361325270751,
      0.0910800256876351,
      0.100138276461267,
      0.0940819518612982,
      0.078068818016831,
      0.0728710721906982,
      0.0789205634505582,
      0.0873807725507096,
      0.106473039780476,
      0.109147247225331,
      0.0912695765611101,
      0.10682369140126,
      0.117028826012272,
      0.0946691882432717,
      0.07826906424856,
      0.0795135370035292,
      0.0971718139808569,
      0.130145646413153,
      0.133593898905504,
      0.0832086284855166,
      0.0574909102772926,
      0.0575131549378306,
      0.0809758906113393,
      0.0878490326656153,
      0.0554659743077041,
      0.0483893875553657,
      0.0675872114367743,
      0.0966681376574926,
      0.12209267404553,
      0.110625132473342,
      0.0768525751397037,
      0.076797230016137,
      0.0998533578468237,
      0.101161233204845,
      0.090662596117862,
      0.0982825498660593,
      0.107102623235142,
      0.111698692357028,
      0.113218492543193,
      0.118439333282802,
      0.120184609569139,
      0.109087712307213,
      0.0901336024731467,
      0.0770424299981358,
      0.080320970658012,
      0.0987680152853333,
      0.0859947878444152,
      0.0664098092643656,
      0.0683377369796947,
      0.0872143592897365,
      0.091774741421433,
      0.0864093115390585,
      0.0793780160031406,
      0.0614059617345233,
      0.0634174107505433,
      0.0803053240657806,
      0.105478461543038,
      0.111829347272291,
      0.103616926047935,
      0.113303213205389,
      0.117104821216271,
      0.085023346801939,
      0.0700668933559725,
      0.0857426247673495,
      0.0891685109284749,
      0.0757174103808883,
      0.073849836041394,
      0.0890144213500852,
      0.113547678010261,
      0.134264482961366,
      0.110040353748237,
      0.0695678886742408,
      0.0678997658446358,
      0.0886111082355796,
      0.0900023008924997,
      0.0781967977773945,
      0.0887313373545531,
      0.0969478587827832,
      0.10035065186438,
      0.107189245887137,
      0.10983616118185,
      0.0860124153845019,
      0.0736400057398259,
      0.081194221882618,
      0.100155438722724,
      0.120294323539817,
      0.117276852985507,
      0.103409309266553,
      0.0910971933675164,
      0.090402192026021,
      0.109384186364596,
      0.100082188606302,
      0.070558638938782,
      0.0724394313288381,
      0.0953809364967614,
      0.126108527612473,
      0.140969546062296,
      0.109535823208925,
      0.0788617722951733,
      0.0865690704373114,
      0.107479165612586,
      0.0996587325405578,
      0.094501946788233,
      0.106314834130192,
      0.111006597332651,
      0.108074915739979,
      0.111545674796942,
      0.123827131573232,
      0.119728872963338,
      0.098060058723877,
      0.0810029458889823,
      0.0695124869640086,
      0.0597600851895711,
      0.0645019418298449,
      0.0784967534259845,
      0.0925699987284456,
      0.0983488963951647,
      0.0830963830220115,
      0.081387966423356,
      0.0926045792233316,
      0.0795755796120022,
      0.0641233996991625,
      0.066714063722695,
      0.0771093104970424,
      0.0789216222320466,
      0.0732197024900937,
      0.0707108536165384,
      0.0760404713104404,
      0.0819369354505586,
      0.0925131607078743,
      0.0913567035269583,
      0.0734509918875952,
      0.0630352579198432,
      0.0724962896012243,
      0.0879551499807883,
      0.105584985866859,
      0.107926212254112,
      0.100323929069743,
      0.123444033582292,
      0.135398873467788,
      0.106021105541197,
      0.0764433033606014,
      0.080139662550898,
      0.101182892965628,
      0.0992187710858387,
      0.06473459955888,
      0.0504938766092392,
      0.0545624579058374,
      0.0514456390794347,
      0.0457630474036339,
      0.0442999548122715,
      0.0432793353410468,
      0.0348624969757966,
      0.0306666893171887,
      0.032249343366875,
      0.04388767953028,
      0.0463591028100279,
      0.0460428499037721,
      0.0399487300274845,
      0.0259637855308762,
      0.016184445701705,
      -2.3582488970779e-17,
      0.00723006247204603,
      0.0487337044840662,
      0.0804556802551362,
      0.0701497103229187,
      0.0598595018715496,
      0.0594468619427664,
      0.0631036769436259,
      0.0672329473460558,
      0.0846680506006388,
      0.138172451858405,
      0.15138066578356,
      0.0901806696678563,
      0.0606715114953104,
      0.0651239863619515,
      0.0779314793602737,
      0.0703450581893669,
      0.0596868197680404,
      0.0500896903185733,
      0.0429215472763341,
      0.0449334031416616,
      0.0489749425398747,
      0.0459203639480511,
      0.0481407058794839,
      0.0458720321670407,
      0.0423126013364,
      0.0491869986733632,
      0.0634187887701429,
      0.0792581193472342,
      0.0753456833612866,
      0.0737315781663326,
      0.0790671160921905,
      0.0754036175504693,
      0.0702992253573554,
      0.0708341013203486,
      0.0662918581890061,
      0.0676018564581103,
      0.0755459256047721,
      0.0742511339397431,
      0.0750711699596408,
      0.0738493507694126,
      0.0766871970247431,
      0.0842946253571407,
      0.0841671403560279,
      0.0703934924927116,
      0.0608555284474275,
      0.0714237095667091,
      0.100315080623972,
      0.106978204704712,
      0.0829068249964752,
      0.0889390691590284,
      0.0986618862750301,
      0.079300056700287,
      0.0601476465966906,
      0.0590427639605347,
      0.0742674763249558,
      0.100027655148245,
      0.111925226792447,
      0.0834649277362494,
      0.0577109342991988,
      0.0490827965503904,
      0.0605669621489495,
      0.068943034952152,
      0.0524721624640076,
      0.0484448415664353,
      0.0599717645680088,
      0.0772383038337989,
      0.0951056043388591,
      0.0884073437368922,
      0.0623945649867612,
      0.055893638192051,
      0.0726311795202208,
      0.0782014964670804,
      0.0716004093968685,
      0.077817671412989,
      0.0806657998494398,
      0.0839137197595412,
      0.0860214263258414,
      0.089314290605004,
      0.0910521497618689,
      0.0809928948871034,
      0.0655020030869461,
      0.0639262112041571,
      0.0702401603398333,
      0.0851696323131665,
      0.0802692629261678,
      0.0608171280146379,
      0.0578987059253518,
      0.0793979843863016,
      0.0859035319192026,
      0.074577261819337,
      0.0706906683370145,
      0.0605005705314154,
      0.0623489382871832,
      0.0770889687583575,
      0.104245916263414,
      0.107572792544762,
      0.0961794988323773,
      0.0972110863988963,
      0.0946377474595504,
      0.07468219764068,
      0.0603004688072218,
      0.0625443049854644,
      0.0666726269400041,
      0.0618042729651673,
      0.06252971569082,
      0.0762796005338921,
      0.0921752475930297,
      0.0966875656998143,
      0.0825428723657299,
      0.0595179462882333,
      0.0572351779974964,
      0.0684285334711581,
      0.0704835780805396,
      0.0660178618487241,
      0.0728626480042136,
      0.0780625213751067,
      0.0826855488846249,
      0.0867327596043823,
      0.0894459884348265,
      0.0723019682676165,
      0.057836768086993,
      0.0614637424449386,
      0.0779392253600775,
      0.097749738917199,
      0.101178898625531,
      0.0938544190724338,
      0.083089468700172,
      0.0755567630315909,
      0.0796166138383444,
      0.0755023534853489,
      0.0634149946758973,
      0.0665367544829595,
      0.0791986778125163,
      0.0913455662842036,
      0.0996810558543018,
      0.0800843897110749,
      0.0578923535924485,
      0.062794196386689,
      0.0780915896007804,
      0.0732960488397388,
      0.0754593368968138,
      0.0827521486410793,
      0.0823407852663977,
      0.0845997850648824,
      0.0872945140696797,
      0.0927477247929685,
      0.090694560978868,
      0.0749001373633043,
      0.0636995512611889,
      0.0609116125595331,
      0.0548305191413536,
      0.0607765851200031,
      0.0747753174849625,
      0.0868646602930605,
      0.0928442936243757,
      0.0824201669931759,
      0.0801328505366159,
      0.0874946338659495,
      0.0725777665709589,
      0.0570892261136495,
      0.0607359618190466,
      0.0732282465632248,
      0.0782358781491281,
      0.0739034322280307,
      0.073780214222294,
      0.0796031440779316,
      0.0820124149122004,
      0.0820306841370307,
      0.0742432571020701,
      0.0597497531974763,
      0.0520359377026868,
      0.0499470785273858,
      0.0551350762109348,
      0.0710790315689671,
      0.0799011911522712,
      0.0793292036419826,
      0.0980226459412282,
      0.0973692498936098,
      0.0725472148400058,
      0.0571040194738173,
      0.0552304915078937,
      0.0637087158436394,
      0.0726128212576737,
      0.0564503068347803,
      0.0436220938203194,
      0.0478250610837506,
      0.0469055659922016,
      0.0434830674219927,
      0.0420303345141344,
      0.0423707878501341,
      0.032088875109444,
      0.0268365388609064,
      0.0310428608130105,
      0.0465592132957252,
      0.0499037052884165,
      0.0496195746576822,
      0.041224523007938,
      0.0247000121565714,
      0.0154880167251811,
      -1.76868667280842e-17,
      0.00481498589174135,
      0.0406196764860896,
      0.0734863627227802,
      0.0676629650994542,
      0.0575538229522044,
      0.0535803391025746,
      0.0576928500362785,
      0.0679509557846149,
      0.0889632562429873,
      0.122765347097597,
      0.131193837303272,
      0.0884638667604745,
      0.0608477207104892,
      0.0626855741468026,
      0.0756840718870525,
      0.0827735939462399,
      0.0827564106942069,
      0.0652048490538154,
      0.0485375458642717,
      0.0469364562680364,
      0.0516591489454069,
      0.0463504028784432,
      0.0453582655373014,
      0.0421749720061545,
      0.0375222675318829,
      0.0440011767746048,
      0.0577758187242831,
      0.0730668964102663,
      0.0730882646261231,
      0.0737660050701742,
      0.0750584052833336,
      0.0656440433432102,
      0.0545177264756872,
      0.0543521157297434,
      0.0548072948543663,
      0.0620235128227429,
      0.0690869362210203,
      0.0602775324537514,
      0.061391510429539,
      0.0639364275555328,
      0.0633818704673136,
      0.0740865183236528,
      0.0810896291463599,
      0.0626049704088604,
      0.0454718066149134,
      0.0574570627002807,
      0.0932472989053339,
      0.104874059807727,
      0.0768645375554568,
      0.0748320987675138,
      0.0896219240107755,
      0.0744998046188996,
      0.049953753974584,
      0.0485075118695063,
      0.0597613256566903,
      0.072712384220627,
      0.0859596660865571,
      0.0736470810187361,
      0.0613829161077116,
      0.0556368613908403,
      0.0605291852298246,
      0.0676656340484622,
      0.0582998632416298,
      0.056320784647126,
      0.0596352174679431,
      0.0634589642724228,
      0.06428127588854,
      0.0598477679683163,
      0.0474243338602114,
      0.0427726214484958,
      0.046537310364254,
      0.0470102458837213,
      0.0488656368257541,
      0.0578499531226768,
      0.0596990536601112,
      0.0641971487505899,
      0.0670752125254243,
      0.0637763663140193,
      0.062256675157815,
      0.0543795311725751,
      0.0475374087714492,
      0.0588651258535146,
      0.0666753576104072,
      0.0721485074222395,
      0.0681349813365908,
      0.0489042661330862,
      0.0409740955733343,
      0.0479574845010741,
      0.0512097686743805,
      0.0468214935476739,
      0.0488088766550216,
      0.0459542342199737,
      0.0457542019788611,
      0.0558359159771189,
      0.0753292891255064,
      0.0803694103018748,
      0.0755898632283342,
      0.075834348659917,
      0.0727215375195489,
      0.065462180583212,
      0.0533994491948034,
      0.052900213722899,
      0.0587844914528128,
      0.0558704788900996,
      0.0535859823544452,
      0.0609033491092749,
      0.0734455438577069,
      0.0782654774375358,
      0.0753611988979075,
      0.0669158414926504,
      0.0580523607983571,
      0.0504329340239716,
      0.0521762070973902,
      0.0509546490139152,
      0.0591602119711341,
      0.0732823729734551,
      0.0860192019095803,
      0.0790621753868265,
      0.0728705143931037,
      0.0590415738751046,
      0.0425501973214041,
      0.0449435484180392,
      0.0604893814259869,
      0.0807503260182534,
      0.0872537959016491,
      0.0826639417858948,
      0.0736269362675438,
      0.0631977512913505,
      0.0646844406125944,
      0.0620350116824542,
      0.055765667121182,
      0.0578204649103914,
      0.0622327828914125,
      0.0634237093131036,
      0.0649969811079175,
      0.0568314886022425,
      0.0444882365322513,
      0.0438333274931557,
      0.0481572659710347,
      0.0476568446911336,
      0.0552720941053975,
      0.0606493796853934,
      0.0606153451320223,
      0.0670061203035429,
      0.064941357544279,
      0.0629535959155254,
      0.0612640302258961,
      0.0502163390822232,
      0.0506208331423463,
      0.0606218434906183,
      0.0589164784335959,
      0.0622496225689612,
      0.0756956371025854,
      0.0832000474755422,
      0.0834324071491404,
      0.077620633441033,
      0.0751065288170572,
      0.0792488382277507,
      0.0658361273201916,
      0.0510421868248443,
      0.0551164607309519,
      0.0693373497196623,
      0.075598835661727,
      0.0718690965377768,
      0.0731982183772573,
      0.0727222466126511,
      0.0705911833632348,
      0.0671478392032781,
      0.0549574597144766,
      0.0397832687498642,
      0.0377317544143183,
      0.0374160896028986,
      0.0347295621403505,
      0.0393725367791366,
      0.0502057654913208,
      0.0571578259660578,
      0.069724003350572,
      0.0663849589030389,
      0.0544286578396599,
      0.0461529414090715,
      0.0385638130665167,
      0.036924769821515,
      0.0432546535365712,
      0.0411827705358476,
      0.0388246271738409,
      0.0439229860334824,
      0.0441304921432516,
      0.0423058512724173,
      0.0408603059722082,
      0.0419247005789083,
      0.030851821858359,
      0.0258149948601082,
      0.030017449627113,
      0.0451136302638551,
      0.047838829742765,
      0.0479275317587671,
      0.0402494964169665,
      0.0234023550468304,
      0.0142995066800327,
      -1.17912444853895e-17,
      0.00367428293834763,
      0.0384221195064322,
      0.0727274130024561,
      0.0701988597686554,
      0.059917808379255,
      0.0527119671644484,
      0.0576313344765793,
      0.0679975826027027,
      0.0910333451885967,
      0.108421167976761,
      0.105025422948815,
      0.079945013667608,
      0.0599533482396648,
      0.0588255080010722,
      0.0766643747018766,
      0.104199395703048,
      0.10718452678037,
      0.0769416665672304,
      0.0560896027295598,
      0.0484282722929682,
      0.0480792982834172,
      0.0440883078144205,
      0.0422700552402809,
      0.0397099240979673,
      0.0339950920919498,
      0.0396173722670309,
      0.0534890855595612,
      0.0666751356874189,
      0.0681463102697299,
      0.0669402211673848,
      0.0642788174483217,
      0.0563745738218542,
      0.0460701593375767,
      0.0424403688484917,
      0.0438128775617567,
      0.0568463131690408,
      0.0674852806276759,
      0.0606461479952099,
      0.0606021764526914,
      0.065211953409582,
      0.0666921829196845,
      0.0707366096955014,
      0.0724853442472117,
      0.0552319382666234,
      0.0435243671488819,
      0.0608213243991103,
      0.0981638415922956,
      0.107616603274871,
      0.0817212885112708,
      0.0740721995575271,
      0.0803001138745952,
      0.0697065099248815,
      0.0516261052794013,
      0.0543904456238539,
      0.0626815589637902,
      0.0708788316978802,
      0.0868685680590101,
      0.0728474357249601,
      0.0619546028481779,
      0.0611192708041097,
      0.0689939803939083,
      0.0783242670248031,
      0.0682333247100752,
      0.0647632350839769,
      0.0653822219469075,
      0.0659780455620895,
      0.0585661986893695,
      0.0510055202258528,
      0.0440493274164201,
      0.040201267415759,
      0.0370786447686153,
      0.0368000400882984,
      0.0423939739712302,
      0.0520474366934753,
      0.058115901873339,
      0.0654471702428761,
      0.0668055928952182,
      0.0600579177981619,
      0.0532962909494651,
      0.0445469605110582,
      0.0424161394155144,
      0.0566765218203626,
      0.0709210198882609,
      0.0805079957300597,
      0.0695103397695554,
      0.0446465899673512,
      0.0342417117116972,
      0.0326685399665052,
      0.0343807879049764,
      0.0355420717605855,
      0.0398407929139651,
      0.0371591474283194,
      0.0355115734767272,
      0.045264004098825,
      0.05895443383428,
      0.0645156005333557,
      0.0634768668066223,
      0.0626442062609919,
      0.0584043006776228,
      0.0539456252762929,
      0.0465447531601811,
      0.0488123555301943,
      0.0570310710933312,
      0.0580773422066067,
      0.0609236182179151,
      0.0758997270576695,
      0.0866514469097793,
      0.0832129384790445,
      0.077422850202067,
      0.0678522453039776,
      0.0548272810577429,
      0.0404552941690579,
      0.043687267746698,
      0.0494028524768604,
      0.068215603053493,
      0.0872588464331514,
      0.0963962769491231,
      0.0786289957491971,
      0.0618292256348254,
      0.0541828274394582,
      0.0469027697350727,
      0.0525234901485188,
      0.065680297592639,
      0.0800365707887497,
      0.0794196782697434,
      0.0723773748387558,
      0.0659298050299762,
      0.0591024690794249,
      0.0664635700281786,
      0.0648773838832901,
      0.0568578825636098,
      0.0587067504385333,
      0.0633641956401389,
      0.0604554460412772,
      0.0545475156020642,
      0.0497719662724297,
      0.0432528368628082,
      0.0386522943856699,
      0.0375995099707436,
      0.0395466869029198,
      0.0484530849321749,
      0.0575977388593439,
      0.0624216277860272,
      0.0680223589473171,
      0.0639673329353902,
      0.0583481739592575,
      0.049724764225225,
      0.040729734956253,
      0.0472121032448481,
      0.0627987074599763,
      0.0648399428033389,
      0.0661030275411886,
      0.0773783747990309,
      0.0811274886060783,
      0.0764782415737914,
      0.0721887809392786,
      0.0680683434301342,
      0.0698909469061524,
      0.0600017151140641,
      0.0466364883026562,
      0.050806818575878,
      0.0648447127108621,
      0.0698544241953911,
      0.0664322818845686,
      0.0649888378235546,
      0.0597360025636687,
      0.0608830444219469,
      0.0594254285012843,
      0.0477368142575869,
      0.0346611400309275,
      0.0350441204766171,
      0.0368086939979803,
      0.0314863500816738,
      0.031899925655956,
      0.0442382444219605,
      0.0487779555329656,
      0.0534510046468161,
      0.0555411866316825,
      0.0538321520278007,
      0.0437081501755795,
      0.034384389928587,
      0.0317207327037301,
      0.0351427111470419,
      0.0358566966280306,
      0.0357431041519944,
      0.040529600699761,
      0.0419009502104299,
      0.04043265882412,
      0.0383035670860046,
      0.0388634220962361,
      0.0279666817770111,
      0.0239982593185133,
      0.0272822516243555,
      0.0399251330674898,
      0.0420492474677595,
      0.0412446432389546,
      0.0356298682572514,
      0.0217478301978605,
      0.0132958385813661,
      5.89562224269474e-18,
      0.0035737828312496,
      0.0403581956348068,
      0.0767061153444132,
      0.0752613158575165,
      0.0654269152663487,
      0.0558018897515363,
      0.0611785769601637,
      0.0701954875350974,
      0.0934115497730169,
      0.105547227520928,
      0.0942172461548843,
      0.0742340036657604,
      0.0583592680878691,
      0.0553921795446466,
      0.0779731288184645,
      0.10860634462903,
      0.0986897524746886,
      0.0681154896756552,
      0.0548808491660358,
      0.0463085420447253,
      0.040999047119744,
      0.0386898448531238,
      0.0367328678244799,
      0.0357154514397885,
      0.0314834999766556,
      0.0360237779741232,
      0.0492961789605226,
      0.0614793775839788,
      0.0634458109970301,
      0.0596543334131371,
      0.0551306628069943,
      0.05134137552781,
      0.0468731307773105,
      0.0407126884259344,
      0.039550542702142,
      0.0515827232110829,
      0.0598787855451964,
      0.0616717582861899,
      0.0677357997309478,
      0.0749483804115623,
      0.0767311785495615,
      0.065842631029263,
      0.0575133265858292,
      0.0456079061252007,
      0.0439692211392166,
      0.0592719947275487,
      0.0864694222023416,
      0.0941410813566999,
      0.0786729392418465,
      0.0717851602958084,
      0.0669370003557531,
      0.0610196692523015,
      0.053451258819742,
      0.0642149404649543,
      0.0714575687219859,
      0.0670079052561755,
      0.0794720852964774,
      0.0718434226499367,
      0.0565287101012113,
      0.0540910582272296,
      0.0597226847052873,
      0.0704563223560382,
      0.0627717445170841,
      0.0577584341307649,
      0.0646138370636479,
      0.0714381002677658,
      0.0620250925904298,
      0.0510223858055046,
      0.0440414514861736,
      0.0400028545856893,
      0.0373065379192281,
      0.0379201941077245,
      0.0421740119676865,
      0.0512924990846657,
      0.0633763874810642,
      0.0743460651447434,
      0.0758725902047596,
      0.0670503524596966,
      0.0532266776283529,
      0.0415898329177763,
      0.041133456224753,
      0.0517549230222751,
      0.066567933522407,
      0.0728475253104024,
      0.0567999171988878,
      0.0386543857392549,
      0.033060701778008,
      0.0327532678886894,
      0.0337397525392218,
      0.0340866513474288,
      0.036793637051076,
      0.034959016982829,
      0.034075781923764,
      0.0445058052325227,
      0.0568319072235925,
      0.0618077492075784,
      0.0593136914619674,
      0.0573308981596811,
      0.0508488218636428,
      0.0439777210935753,
      0.0404177213239006,
      0.0438160808170866,
      0.051773197118293,
      0.0541000701292218,
      0.0571415244043447,
      0.0672309030464814,
      0.0782068449365059,
      0.0730629287591549,
      0.0635415746428915,
      0.0518806641060759,
      0.0418728883202447,
      0.0334401565884423,
      0.0387596027836888,
      0.0515566558750319,
      0.0676332420933702,
      0.0731596186257225,
      0.0785067308033837,
      0.0779105754020569,
      0.068277900843277,
      0.0591259783695884,
      0.0597639517476739,
      0.0652357470466433,
      0.072235940971951,
      0.0790702526017253,
      0.0753267374398863,
      0.0663501661152127,
      0.0612229676878774,
      0.0565671339717857,
      0.0638813428899876,
      0.0662651031461587,
      0.0553704239942872,
      0.0599707656423933,
      0.0722826688711043,
      0.0677006368642849,
      0.0554150351620863,
      0.0505386958677535,
      0.0435775465892886,
      0.0374771604853514,
      0.0369524842327623,
      0.0404767751511134,
      0.0473052080035405,
      0.0585765998597665,
      0.0687305821966938,
      0.0757225157605065,
      0.0739042269563876,
      0.0634302582731431,
      0.0483368027802481,
      0.0405467741161367,
      0.0451827501330753,
      0.0579460876507795,
      0.0645970074581175,
      0.0668514313857371,
      0.0751540274432878,
      0.0782853652168301,
      0.0726927722488977,
      0.0674936122202181,
      0.0639615599792828,
      0.0636720756369994,
      0.054734775599189,
      0.0435527142029356,
      0.0472828284818868,
      0.0600678960670784,
      0.0647425188171427,
      0.0619488426547424,
      0.057759612693251,
      0.0500260069046953,
      0.0513255703313554,
      0.0511649438824566,
      0.0419228277987295,
      0.0356462109429686,
      0.0403227408576048,
      0.0413925402423245,
      0.0357394432370955,
      0.0350341063222093,
      0.041897282438982,
      0.0421687091431928,
      0.0451953714276994,
      0.0543667798534739,
      0.0577874591498261,
      0.0441728648094448,
      0.0379379356108012,
      0.0406195968492815,
      0.0445587979290801,
      0.0395703275331606,
      0.0353523926931457,
      0.0408810441070824,
      0.0449765249602849,
      0.0404884215103619,
      0.0335526224776606,
      0.0333117578995467,
      0.0259827308259784,
      0.0239383856807529,
      0.0254369197215492,
      0.0349368424967358,
      0.036394544924793,
      0.0341542673092088,
      0.0298798307225676,
      0.0196587046423117,
      0.012338083099634,
      5.89562224269474e-18,
      0.00520534304818828,
      0.047430675811623,
      0.0843293661232864,
      0.0871410101119797,
      0.0782189782732617,
      0.058815728321011,
      0.0622057677436189,
      0.0728802657694402,
      0.0949370762054761,
      0.105618671884027,
      0.0923314386597382,
      0.0748436157573219,
      0.0618704634995506,
      0.0552204652383797,
      0.0704731933303232,
      0.0902879677310151,
      0.0743087005196431,
      0.0520140682632197,
      0.0425703439304111,
      0.0366986008709958,
      0.0346586680176343,
      0.034229210344854,
      0.0328631880424726,
      0.0327942111348339,
      0.030518336408355,
      0.0339758872488484,
      0.0459011472353143,
      0.0583733696705521,
      0.0597835792617872,
      0.0562182136683191,
      0.0507486053167766,
      0.0512988738863098,
      0.0555123342221427,
      0.0485895592179716,
      0.0411374407761698,
      0.0486319670294278,
      0.0586150197890023,
      0.0640563126987029,
      0.0696939552766974,
      0.072974068602695,
      0.0713488475785852,
      0.0552414469357044,
      0.0451012229133602,
      0.0415494884072215,
      0.0447712647486418,
      0.0526257465771554,
      0.0664492342025959,
      0.0759340310335726,
      0.0737093809466884,
      0.0717698002899974,
      0.0637145758739837,
      0.0589270942041447,
      0.0536787129331086,
      0.0656437760652739,
      0.0733575038865595,
      0.0680158535370538,
      0.0718035059525062,
      0.0647935103952845,
      0.053281104026996,
      0.0523676794694919,
      0.0536017060777933,
      0.0563603933614229,
      0.0489402942936486,
      0.046964730405033,
      0.0598830400885751,
      0.0717207311574787,
      0.0610822932676674,
      0.0493752562189136,
      0.0419471345839147,
      0.0392477426889981,
      0.0410797496045561,
      0.0439613315412648,
      0.0450627922296387,
      0.0485501500640245,
      0.0635208135503757,
      0.0763107147276282,
      0.0792897999734826,
      0.0697449655084003,
      0.0571103178019628,
      0.0463529977558268,
      0.0426324507444965,
      0.0461478318257132,
      0.0565511101660678,
      0.062632507203813,
      0.050178343070873,
      0.0369482902337082,
      0.0342021677947054,
      0.0368344953449021,
      0.0372783798572877,
      0.0378266285910121,
      0.0366697033506785,
      0.0360311237929913,
      0.0368078252318861,
      0.0458195832908146,
      0.0565872941500915,
      0.0635883036902539,
      0.0597729611738732,
      0.0584689361043016,
      0.0509969329381184,
      0.0440132340536566,
      0.0408370561054301,
      0.0418216617825018,
      0.0486123594036754,
      0.0469800219175045,
      0.0487034669200632,
      0.0571789644062468,
      0.0663012397936764,
      0.0667590494332426,
      0.0609803711565629,
      0.0469538024057864,
      0.0378184691340025,
      0.0332733028669568,
      0.0393965007241613,
      0.0521577462372644,
      0.0609536699599955,
      0.0576999747895851,
      0.0640634344842902,
      0.0785515533409742,
      0.0766917706452539,
      0.0588319045349793,
      0.0558076285445607,
      0.0604967584506103,
      0.0629171613917997,
      0.0685585876833467,
      0.0754533301740803,
      0.0704290769252205,
      0.063236032281281,
      0.0568970721618864,
      0.0595591411667765,
      0.0627683038162854,
      0.0509639379649331,
      0.0571015790119548,
      0.0718459879906211,
      0.0711170136380295,
      0.0573890341414034,
      0.0517955719370641,
      0.0437275243324886,
      0.0402380850980875,
      0.0427153806768783,
      0.0452980295017202,
      0.0459923402982441,
      0.0551817663853963,
      0.0693579033050671,
      0.0776691253657758,
      0.0744712782508463,
      0.0628406969871204,
      0.0517503908867973,
      0.0429010829700639,
      0.0430689457101678,
      0.0491269907204201,
      0.0576646704369397,
      0.0635019431578206,
      0.073009131520644,
      0.0754000144418328,
      0.0694153467407288,
      0.0655552782550007,
      0.0644434335815626,
      0.0603805754854214,
      0.0503958205272379,
      0.0418322457401096,
      0.0442941380431241,
      0.0549634799410218,
      0.0607233163768827,
      0.05902838328182,
      0.0545924293454189,
      0.0452315835021029,
      0.0436192363674944,
      0.0442642276477649,
      0.0383048397773415,
      0.0391089872310266,
      0.0471789846089443,
      0.0464801511391639,
      0.0418741771652824,
      0.0450503025312216,
      0.0473076471918073,
      0.0421618055760481,
      0.0465568078098652,
      0.05763430365478,
      0.0565719893119538,
      0.0422547001012351,
      0.0430211540570256,
      0.0498648745012432,
      0.0508376650352483,
      0.0417083842193186,
      0.0384153646172152,
      0.0446395187004823,
      0.0486657637414039,
      0.0391320443615342,
      0.0285553573590328,
      0.0268973706749675,
      0.0237300944705059,
      0.023574241366189,
      0.0239253166986774,
      0.0319472744272829,
      0.0331703064395995,
      0.0294410146874227,
      0.0264760709028332,
      0.0190566011555295,
      0.0114752337818473
    ],
    "downbeat_timestamps": [
      0.232199546485261,
      2.62385487528345,
      4.92263038548753,
      7.26784580498866,
      9.68272108843537,
      12.2369160997732,
      14.5124716553288,
      16.8809070294785,
      19.3190022675737,
      21.7803174603175,
      24.1719727891156,
      26.5868480725624,
      28.9785034013605,
      31.3933786848073,
      33.7850340136054,
      36.1766893424036,
      38.5683446712018,
      40.9832199546485,
      43.3516553287982,
      45.7897505668934,
      48.1814058956916,
      50.5730612244898,
      52.9879365079365,
      55.3795918367347,
      57.7944671201814,
      60.1861224489796,
      62.5777777777778,
      64.9926530612245,
      67.3843083900227,
      69.7759637188209,
      72.1908390022676,
      74.5824943310658,
      76.9973696145125,
      79.3890249433107,
      81.7806802721088,
      84.172335600907,
      86.5872108843537,
      88.9788662131519,
      91.3008616780045,
      93.7853968253968,
      96.2002721088435,
      98.5687074829932,
      100.98358276644,
      103.375238095238,
      105.790113378685,
      108.181768707483,
      110.59664399093,
      112.988299319728,
      115.379954648526,
      117.771609977324,
      120.186485260771,
      122.578140589569,
      124.993015873016,
      127.384671201814,
      129.776326530612,
      132.191201814059,
      134.582857142857,
      136.997732426304,
      139.389387755102,
      141.7810430839,
      144.195918367347,
      146.587573696145,
      148.979229024943,
      151.39410430839,
      153.785759637188,
      156.177414965986,
      158.592290249433,
      160.983945578231,
      163.375600907029,
      165.790476190476,
      168.182131519274,
      170.573786848073,
      172.988662131519,
      175.380317460317,
      177.795192743764,
      180.186848072562,
      182.578503401361,
      184.993378684807,
      187.385034013605,
      189.776689342404,
      192.19156462585,
      194.583219954649,
      196.974875283447,
      199.366530612245,
      201.781405895692,
      204.17306122449,
      206.564716553288,
      208.979591836735,
      211.371247165533,
      213.78612244898,
      216.177777777778,
      218.569433106576,
      220.984308390023,
      223.375963718821,
      225.767619047619
    ],
    "per_beat_energy": [
      0,
      0.4851,
      0.8351,
      0.2803,
      0.6262,
      0.5052,
      0.7771,
      0.858,
      0.0597,
      0.7434,
      0.441,
      0.9088,
      0.3574,
      0.8103,
      0.8647,
      0.8479,
      0.7728,
      0.8994,
      0.4986,
      0.7441,
      0.8074,
      0.7248,
      0.6248,
      0.7845,
      0.248,
      0.6613,
      0.698,
      0.6006,
      0.8178,
      0.5655,
      0.7936,
      0.7651,
      0.7929,
      0.7035,
      1,
      0.9254,
      0.7092,
      0.6868,
      0.9653,
      0.9055,
      0.6304,
      0.7278,
      0.9695,
      0.8761,
      0.5729,
      0.6546,
      0.9302,
      0.9715,
      0.7815,
      0.7887,
      1,
      1,
      0.9608,
      0.8891,
      1,
      1,
      0.9808,
      0.8904,
      1,
      1,
      0.9264,
      0.8782,
      1,
      1,
      0.862,
      0.8205,
      1,
      1,
      1,
      1,
      0.9132,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.9069,
      1,
      1,
      1,
      0.9198,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.863,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.9896,
      1,
      1,
      1,
      0.9782,
      1,
      0.9987,
      1,
      0.9721,
      1,
      1,
      1,
      1,
      1,
      0.9312,
      0.8365,
      1,
      0.8342,
      0.7203,
      0.8943,
      1,
      1,
      1,
      1,
      0.9865,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.9753,
      1,
      1,
      1,
      0.8068,
      1,
      1,
      0.9685,
      0.9452,
      0.4522,
      0.997,
      0.9124,
      0.8936,
      0.3824,
      1,
      0.7787,
      0.7699,
      0.2946,
      1,
      0.9537,
      0.6536,
      0.2966,
      1,
      1,
      0.9821,
      1,
      1,
      1,
      1,
      0.9229,
      1,
      1,
      0.9906,
      0.9648,
      0.9534,
      1,
      1,
      0.7892,
      0.9759,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.9315,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.9519,
      1,
      1,
      0.9316,
      0.9108,
      0.8002,
      1,
      1,
      1,
      0.8249,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.9491,
      1,
      0.9468,
      0.9644,
      0.8773,
      1,
      1,
      0.9002,
      0.9968,
      1,
      0.9963,
      0.9264,
      0.9807,
      0.9546,
      0.7472,
      0.8224,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.898,
      0.9045,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.9546,
      0.8888,
      1,
      1,
      1,
      0.8918,
      1,
      1,
      1,
      0.8732,
      1,
      1,
      1,
      0.5431,
      0.4307,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.9137,
      0.9795,
      1,
      1,
      0.9823,
      1,
      1,
      1,
      0.9391,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.5969,
      0.5145,
      0.8863,
      0.891,
      0.9082,
      0.4518,
      0.8201,
      0.9259,
      0.9357,
      0.7504,
      0.9149,
      0.8588,
      0.9016,
      0.7399,
      0.785,
      0.8666,
      0.7653,
      0.419,
      0.4206,
      0.9867
    ],
    "per_beat_centroid": [
      0.1305,
      0.2064,
      0.0814,
      0.1179,
      0.0927,
      0.1904,
      0.092,
      0.107,
      0.2014,
      0.0843,
      0.1276,
      0.0938,
      0.1143,
      0.089,
      0.0946,
      0.1849,
      0.093,
      0.106,
      0.1482,
      0.0906,
      0.0697,
      0.1648,
      0.0914,
      0.1595,
      0.1812,
      0.108,
      0.0979,
      0.1459,
      0.1062,
      0.0787,
      0.1042,
      0.1299,
      0.2097,
      0.0951,
      0.039,
      0.1105,
      0.0595,
      0.1078,
      0.0543,
      0.1188,
      0.0671,
      0.1303,
      0.0645,
      0.0608,
      0.0579,
      0.1431,
      0.071,
      0.0688,
      0.1169,
      0.1383,
      0.064,
      0.124,
      0.117,
      0.1536,
      0.0784,
      0.1263,
      0.0971,
      0.109,
      0.1278,
      0.1125,
      0.0739,
      0.0919,
      0.0956,
      0.0551,
      0.0671,
      0.0795,
      0.1271,
      0.0345,
      0.0123,
      0.1196,
      0.1134,
      0.0168,
      0.0181,
      0.0097,
      0.0758,
      0.0191,
      0.0268,
      0.0338,
      0.1262,
      0.1517,
      0.0258,
      0.0187,
      0.1155,
      0.0393,
      0.0164,
      0.0137,
      0.1087,
      0.0695,
      0.0118,
      0.0127,
      0.0928,
      0.0972,
      0.0218,
      0.0439,
      0.1211,
      0.0144,
      0.1271,
      0.2036,
      0.1773,
      0.0956,
      0.0134,
      0.0128,
      0.0487,
      0.0835,
      0.0185,
      0.0103,
      0.0213,
      0.1194,
      0.0546,
      0.0211,
      0.0986,
      0.1321,
      0.0835,
      0.0155,
      0.0207,
      0.0918,
      0.0537,
      0.1105,
      0.0954,
      0.134,
      0.0674,
      0.1239,
      0.1138,
      0.0884,
      0.0392,
      0.132,
      0.1288,
      0.1656,
      0.0838,
      0.141,
      0.1177,
      0.1805,
      0.132,
      0.014,
      0.0146,
      0.0745,
      0.1115,
      0.01,
      0.0159,
      0.0629,
      0.052,
      0.0104,
      0.0195,
      0.0906,
      0.0748,
      0.0736,
      0.023,
      0.0311,
      0.084,
      0.011,
      0.0151,
      0.0232,
      0.083,
      0.077,
      0.0123,
      0.0202,
      0.087,
      0.0477,
      0.0267,
      0.0997,
      0.0284,
      0.0255,
      0.1298,
      0.1866,
      0.1361,
      0.0563,
      0.1373,
      0.0951,
      0.1514,
      0.0515,
      0.1564,
      0.0957,
      0.1472,
      0.1144,
      0.1565,
      0.0936,
      0.1704,
      0.1028,
      0.078,
      0.1108,
      0.2213,
      0.0844,
      0.079,
      0.1624,
      0.1829,
      0.0944,
      0.0816,
      0.1505,
      0.1114,
      0.095,
      0.0661,
      0.1309,
      0.0875,
      0.1514,
      0.0651,
      0.1274,
      0.1153,
      0.1315,
      0.013,
      0.0136,
      0.0427,
      0.1606,
      0.0423,
      0.0158,
      0.0213,
      0.1075,
      0.0284,
      0.0215,
      0.0164,
      0.1178,
      0.0843,
      0.0822,
      0.0114,
      0.0399,
      0.0994,
      0.0185,
      0.0134,
      0.0665,
      0.0146,
      0.0146,
      0.0116,
      0.0611,
      0.0963,
      0.0357,
      0.0632,
      0.1873,
      0.0171,
      0.0595,
      0.1887,
      0.232,
      0.2566,
      0.022,
      0.0125,
      0.0259,
      0.0619,
      0.0148,
      0.0168,
      0.0085,
      0.066,
      0.0157,
      0.0253,
      0.0299,
      0.1454,
      0.0926,
      0.0241,
      0.0204,
      0.099,
      0.0613,
      0.0828,
      0.1219,
      0.1953,
      0.0989,
      0.0997,
      0.1518,
      0.1266,
      0.0512,
      0.0915,
      0.1463,
      0.171,
      0.0617,
      0.1187,
      0.134,
      0.1957,
      0.1535,
      0.0146,
      0.0126,
      0.0312,
      0.0941,
      0.0731,
      0.0092,
      0.0124,
      0.0889,
      0.0196,
      0.0197,
      0.0338,
      0.0995,
      0.0888,
      0.0468,
      0.0173,
      0.1138,
      0.0243,
      0.0162,
      0.011,
      0.0501,
      0.0176,
      0.015,
      0.0113,
      0.0638,
      0.0771,
      0.0326,
      0.0549,
      0.0787,
      0.0144,
      0.0622,
      0.1609,
      0.1685,
      0.0759,
      0.0096,
      0.0115,
      0.1064,
      0.0846,
      0.0091,
      0.0148,
      0.0101,
      0.0626,
      0.0085,
      0.0168,
      0.018,
      0.1131,
      0.0466,
      0.0146,
      0.0074,
      0.1171,
      0.0727,
      0.1185,
      0.1539,
      0.132,
      0.0786,
      0.1263,
      0.1086,
      0.1271,
      0.0676,
      0.1073,
      0.093,
      0.0963,
      0.052,
      0.1011,
      0.0417,
      0.0461,
      0.0355,
      0.0123,
      0.0111,
      0.0456,
      0.1224,
      0.0146,
      0.0082,
      0.0411,
      0.0772,
      0.0205,
      0.0112,
      0.0925,
      0.0617,
      0.0896,
      0.0191,
      0.0917,
      0.0583,
      0.01,
      0.015,
      0.009,
      0.0851,
      0.0087,
      0.0138,
      0.0128,
      0.0784,
      0.0105,
      0.0332,
      0.085,
      0.0452,
      0.012,
      0.3067,
      0.2415,
      0.1535,
      0.0907,
      0.0751,
      0.0674,
      0.1118,
      0.0553,
      0.0907,
      0.0585,
      0.1049,
      0.0488,
      0.1014,
      0.0409,
      0.1184,
      0.0623,
      0.1162,
      0.0813,
      0.1932,
      0.1145
    ],
    "per_beat_dominant_band": [
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "high",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "low_mid",
      "high",
      "mid",
      "high",
      "low_mid",
      "high",
      "low_mid",
      "high",
      "low_mid",
      "low_mid",
      "mid",
      "high",
      "low_mid",
      "high",
      "high",
      "high",
      "low_mid",
      "mid",
      "mid",
      "high",
      "mid",
      "high",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "mid",
      "high",
      "mid",
      "mid",
      "mid",
      "high",
      "sub_bass",
      "sub_bass",
      "high",
      "high",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "high",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "high",
      "high",
      "sub_bass",
      "sub_bass",
      "high",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "high",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "high",
      "low_mid",
      "sub_bass",
      "high",
      "high",
      "sub_bass",
      "high",
      "high",
      "high",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "high",
      "high",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "high",
      "sub_bass",
      "sub_bass",
      "high",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "high",
      "low_mid",
      "high",
      "mid",
      "high",
      "mid",
      "high",
      "mid",
      "mid",
      "low_mid",
      "high",
      "mid",
      "high",
      "high",
      "mid",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "high",
      "mid",
      "sub_bass",
      "sub_bass",
      "high",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "high",
      "mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "high",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "sub_bass",
      "sub_bass",
      "high",
      "sub_bass",
      "mid",
      "high",
      "mid",
      "mid",
      "mid",
      "high",
      "high",
      "high",
      "low_mid",
      "high",
      "high",
      "high",
      "high",
      "high",
      "high",
      "high",
      "high",
      "mid",
      "high",
      "high",
      "mid",
      "mid",
      "high",
      "high",
      "mid",
      "mid",
      "high",
      "mid",
      "mid",
      "mid",
      "high",
      "mid",
      "high",
      "mid",
      "high",
      "mid",
      "high",
      "sub_bass",
      "sub_bass",
      "high",
      "high",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "high",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "high",
      "mid",
      "high",
      "sub_bass",
      "high",
      "high",
      "sub_bass",
      "sub_bass",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "high",
      "high",
      "high",
      "high",
      "high",
      "sub_bass",
      "mid",
      "high",
      "mid",
      "high",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "high",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "high",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "high",
      "mid",
      "sub_bass",
      "sub_bass",
      "high",
      "mid",
      "low_mid",
      "high",
      "high",
      "mid",
      "mid",
      "high",
      "high",
      "mid",
      "high",
      "high",
      "high",
      "low_mid",
      "high",
      "mid",
      "mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "high",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "high",
      "sub_bass",
      "sub_bass",
      "high",
      "high",
      "mid",
      "sub_bass",
      "sub_bass",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "high",
      "mid",
      "high",
      "mid",
      "high",
      "sub_bass",
      "mid",
      "mid",
      "high",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "high",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "high",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "high",
      "mid",
      "mid",
      "high",
      "high",
      "mid",
      "high",
      "mid",
      "high",
      "low_mid",
      "high",
      "mid",
      "high",
      "low_mid",
      "high",
      "low_mid",
      "mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "high",
      "mid",
      "sub_bass",
      "sub_bass",
      "high",
      "mid",
      "sub_bass",
      "sub_bass",
      "high",
      "low_mid",
      "low_mid",
      "sub_bass",
      "high",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "low_mid",
      "sub_bass",
      "sub_bass",
      "sub_bass",
      "high",
      "sub_bass",
      "high",
      "high",
      "sub_bass",
      "sub_bass",
      "high",
      "high",
      "high",
      "mid",
      "high",
      "low_mid",
      "mid",
      "low_mid",
      "high",
      "mid",
      "high",
      "low_mid",
      "high",
      "low_mid",
      "high",
      "low_mid",
      "high",
      "low_mid",
      "high",
      "high"
    ],
    "tempo_marking": "allegretto",
    "energy_shape": "steady"
  },
  "harmonic": {
    "key": "F",
    "mode": "minor",
    "camelot_position": "4A",
    "non_western_scale": false,
    "chord_progression_complexity": 0.00221149979895456,
    "harmonic_tension_curve": [
      0.499999046325684,
      0.49999937415123,
      0.499997735023499,
      0.499999165534973,
      0.49999925494194,
      0.499999642372131,
      0.499999284744263,
      0.499999284744263,
      0.499999195337296,
      0.499997586011887,
      0.499997437000275,
      0.499997496604919,
      0.499998301267624,
      0.499999195337296,
      0.499999195337296,
      0.499999195337296,
      0.49999988079071,
      0.499999612569809,
      0.499999642372131,
      0.499999493360519,
      0.499999016523361,
      0.499998599290848,
      0.499999403953552,
      0.499998182058334,
      0.49999925494194,
      0.499998658895493,
      0.499999195337296,
      0.499998778104782,
      0.49999937415123,
      0.499999225139618,
      0.4999980032444,
      0.499998927116394,
      0.499996662139893,
      0.499999523162842,
      0.499999731779099,
      0.499999105930328,
      0.499999612569809,
      0.49999812245369,
      0.499997973442078,
      0.499999016523361,
      0.499998837709427,
      0.499997168779373,
      0.499997794628143,
      0.499996691942215,
      0.499996989965439,
      0.499999344348907,
      0.499998897314072,
      0.49999925494194,
      0.499996840953827,
      0.499993652105331,
      0.499997586011887,
      0.499998033046722,
      0.499998331069946,
      0.499997526407242,
      0.499993681907654,
      0.499994248151779,
      0.499999284744263,
      0.499996602535248,
      0.499997287988663,
      0.499999403953552,
      0.499996781349182,
      0.499997228384018,
      0.499997973442078,
      0.499997615814209,
      0.499998480081558,
      0.499999046325684,
      0.499998331069946,
      0.499996870756149,
      0.499997168779373,
      0.499998360872269,
      0.499999076128006,
      0.49999925494194,
      0.499996662139893,
      0.49999588727951,
      0.499996095895767,
      0.499996513128281,
      0.499998509883881,
      0.499997973442078,
      0.49991163611412,
      0.499925494194031,
      0.499935775995255,
      0.499977439641953,
      0.499994456768036,
      0.499068230390549,
      0.498961925506592,
      0.497856497764587,
      0.499548316001892,
      0.499857991933823,
      0.499147683382034,
      0.498624086380005,
      0.499541997909546,
      0.49986320734024,
      0.499959379434586,
      0.499481618404388,
      0.498527526855469,
      0.499606192111969,
      0.499844402074814,
      0.499931067228317,
      0.499866813421249,
      0.499968409538269,
      0.499997317790985,
      0.499994218349457,
      0.499867081642151,
      0.499962776899338,
      0.499913215637207,
      0.499998182058334,
      0.49999612569809,
      0.499855607748032,
      0.499917536973953,
      0.499984622001648,
      0.499627947807312,
      0.49867171049118,
      0.499807775020599,
      0.499950885772705,
      0.499980956315994,
      0.499994546175003,
      0.499959677457809,
      0.499891608953476,
      0.499930799007416,
      0.499987125396729,
      0.499991834163666,
      0.499850004911423,
      0.498088747262955,
      0.498738348484039,
      0.499225467443466,
      0.499881118535995,
      0.499423921108246,
      0.498796820640564,
      0.499311566352844,
      0.499779164791107,
      0.499965965747833,
      0.499990105628967,
      0.499155193567276,
      0.497560888528824,
      0.499796241521835,
      0.499947279691696,
      0.499995797872543,
      0.499998807907104,
      0.499998599290848,
      0.49999538064003,
      0.499996542930603,
      0.499999195337296,
      0.499998956918716,
      0.499999552965164,
      0.499996900558472,
      0.499994486570358,
      0.499998331069946,
      0.499997586011887,
      0.499995946884155,
      0.499998152256012,
      0.499995231628418,
      0.499997437000275,
      0.499998956918716,
      0.499999821186066,
      0.499998927116394,
      0.499987214803696,
      0.49996629357338,
      0.499946773052216,
      0.499990671873093,
      0.49999988079071,
      0.499273806810379,
      0.498567074537277,
      0.497732907533646,
      0.499678134918213,
      0.499592423439026,
      0.498472839593887,
      0.498235791921616,
      0.499615758657455,
      0.499885946512222,
      0.499963998794556,
      0.498746067285538,
      0.49771785736084,
      0.499323457479477,
      0.499923020601273,
      0.499898463487625,
      0.49990838766098,
      0.499981552362442,
      0.499988466501236,
      0.499997764825821,
      0.499951481819153,
      0.499927550554276,
      0.499916851520538,
      0.499984472990036,
      0.5,
      0.499762326478958,
      0.499938726425171,
      0.499994665384293,
      0.499182134866714,
      0.4995476603508,
      0.499870091676712,
      0.499959826469421,
      0.499989211559296,
      0.499995499849319,
      0.499998897314072,
      0.499997705221176,
      0.499998390674591,
      0.499999195337296,
      0.499998837709427,
      0.499998033046722,
      0.499996185302734,
      0.499999046325684,
      0.499999672174454,
      0.499998390674591,
      0.499992996454239,
      0.499997705221176,
      0.499998509883881,
      0.499998867511749,
      0.499995678663254,
      0.499997913837433,
      0.49999737739563,
      0.499998569488525,
      0.499989330768585,
      0.499997913837433,
      0.499998033046722,
      0.499996542930603,
      0.499998152256012,
      0.49999788403511,
      0.499996662139893,
      0.499998390674591,
      0.499999344348907,
      0.499997735023499,
      0.49999788403511,
      0.499997109174728,
      0.4999960064888,
      0.499998450279236,
      0.49999737739563,
      0.499997407197952,
      0.499994039535522,
      0.49999526143074,
      0.499997317790985,
      0.499996811151505,
      0.499999761581421,
      0.499932706356049,
      0.499898850917816,
      0.499971717596054,
      0.49998214840889,
      0.49995231628418,
      0.498434901237488,
      0.497383177280426,
      0.499026477336884,
      0.499670654535294,
      0.499273121356964,
      0.498826712369919,
      0.498820096254349,
      0.499722987413406,
      0.499926000833511,
      0.499977380037308,
      0.499247431755066,
      0.499202460050583,
      0.499746382236481,
      0.499902725219727,
      0.499856382608414,
      0.499880492687225,
      0.499934554100037,
      0.4999940097332,
      0.499999940395355,
      0.499937146902084,
      0.499952495098114,
      0.499985724687576,
      0.499970376491547,
      0.499943464994431,
      0.499879121780396,
      0.499983251094818,
      0.499995559453964,
      0.499199837446213,
      0.499588936567307,
      0.499889880418777,
      0.499962121248245,
      0.499988973140717,
      0.499998092651367,
      0.499943017959595,
      0.499943822622299,
      0.499935895204544,
      0.49998527765274,
      0.499996334314346,
      0.498649269342422,
      0.498816072940826,
      0.49811589717865,
      0.499740958213806,
      0.499875873327255,
      0.499115139245987,
      0.49846076965332,
      0.499125480651855,
      0.499877631664276,
      0.499973654747009,
      0.499418318271637,
      0.498414874076843,
      0.499315947294235,
      0.499895066022873,
      0.499958336353302,
      0.499997198581696,
      0.499997824430466,
      0.49999812245369,
      0.499998241662979,
      0.499997109174728,
      0.4999980032444,
      0.499999433755875,
      0.499997496604919,
      0.499997824430466,
      0.499996781349182,
      0.499995827674866,
      0.499998271465302,
      0.499994903802872,
      0.499998271465302,
      0.499995857477188,
      0.499999433755875,
      0.499999493360519,
      0.499997437000275,
      0.4999660551548,
      0.499917417764664,
      0.49992761015892,
      0.499949246644974,
      0.499994874000549,
      0.499887943267822,
      0.498427957296371,
      0.498498797416687,
      0.498473972082138,
      0.499846577644348,
      0.499255746603012,
      0.498933166265488,
      0.499548852443695,
      0.499733656644821,
      0.499940514564514,
      0.499989718198776,
      0.499322831630707,
      0.498792588710785,
      0.499779880046844,
      0.499951779842377,
      0.499932825565338,
      0.49992436170578,
      0.499962270259857,
      0.499987781047821,
      0.499943256378174,
      0.499899178743362,
      0.499816477298737,
      0.499938607215881,
      0.499990403652191,
      0.49979755282402,
      0.499261558055878,
      0.499996602535248,
      0.499989300966263,
      0.499224096536636,
      0.499719351530075,
      0.499863922595978,
      0.499932616949081,
      0.499993592500687,
      0.499998986721039,
      0.499972373247147,
      0.499952018260956,
      0.499955952167511,
      0.49998813867569,
      0.499999910593033,
      0.499218225479126,
      0.498936504125595,
      0.498974323272705,
      0.49966636300087,
      0.499645113945007,
      0.498910695314407,
      0.499146819114685,
      0.499648302793503,
      0.499883741140366,
      0.499967247247696,
      0.498870402574539,
      0.498703300952911,
      0.499417066574097,
      0.499909967184067,
      0.499989598989487,
      0.499998241662979,
      0.499996781349182,
      0.499999016523361,
      0.499999701976776,
      0.499998956918716,
      0.499997109174728,
      0.49999862909317,
      0.499996900558472,
      0.499997079372406,
      0.499996393918991,
      0.499997109174728,
      0.499998152256012,
      0.499996185302734,
      0.49999538064003,
      0.499997526407242,
      0.499998301267624,
      0.49999925494194,
      0.499996393918991,
      0.499919325113297,
      0.499838680028915,
      0.499971717596054,
      0.499982357025146,
      0.499996930360794,
      0.498875349760056,
      0.498812019824982,
      0.497909277677536,
      0.499394863843918,
      0.499867081642151,
      0.499223917722702,
      0.49883958697319,
      0.498406916856766,
      0.499827086925507,
      0.499923408031464,
      0.499626368284225,
      0.497996181249619,
      0.49817556142807,
      0.499773502349854,
      0.499890238046646,
      0.499834299087524,
      0.499860972166061,
      0.499923527240753,
      0.499988466501236,
      0.499851733446121,
      0.499849438667297,
      0.499825567007065,
      0.499982357025146,
      0.499996066093445,
      0.499696850776672,
      0.499716520309448,
      0.499993503093719,
      0.499997526407242,
      0.498556017875671,
      0.499765604734421,
      0.499874979257584,
      0.499923408031464,
      0.499990731477737,
      0.499997317790985,
      0.499997973442078,
      0.499997735023499,
      0.499998927116394,
      0.499996900558472,
      0.499996870756149,
      0.499996900558472,
      0.49999612569809,
      0.499997228384018,
      0.499996870756149,
      0.499992698431015,
      0.499997228384018,
      0.499997228384018,
      0.49999812245369,
      0.49999812245369,
      0.499991565942764,
      0.499996155500412,
      0.499996036291122,
      0.499999642372131,
      0.499998807907104,
      0.499997317790985,
      0.499993950128555,
      0.499999493360519,
      0.499998718500137,
      0.499996364116669,
      0.499997854232788,
      0.499997109174728,
      0.499998331069946,
      0.49999663233757,
      0.49999663233757,
      0.499995410442352,
      0.499996334314346,
      0.499999195337296,
      0.499989330768585,
      0.499992370605469,
      0.499996930360794,
      0.499996960163116,
      0.499996215105057,
      0.499960064888
    ],
    "modulation_events": 7,
    "resolution_frequency": 0.204664254121431,
    "tonal_brightness": 1,
    "hpcp_vector": [
      0.169613050614698,
      0.502041459937025,
      0.135809677412777,
      0.949608258422748,
      0.158340192436414,
      0.54941991726302,
      0.878383760848685,
      0.243256068318171,
      1,
      0.225243416848894,
      0.555745067153095,
      0.272764337894284
    ],
    "key_confidence": 0.861078858375549,
    "analyzed_at": "2026-03-22T16:23:19.024787+00:00",
    "key_map": [
      {
        "key": "Eb",
        "mode": "major",
        "start_seconds": 0
      },
      {
        "key": "F",
        "mode": "minor",
        "start_seconds": 20
      },
      {
        "key": "C",
        "mode": "minor",
        "start_seconds": 30
      },
      {
        "key": "F",
        "mode": "minor",
        "start_seconds": 40
      },
      {
        "key": "C",
        "mode": "minor",
        "start_seconds": 110
      },
      {
        "key": "F",
        "mode": "minor",
        "start_seconds": 120
      },
      {
        "key": "C",
        "mode": "minor",
        "start_seconds": 150
      },
      {
        "key": "F",
        "mode": "minor",
        "start_seconds": 160
      }
    ],
    "chromagram": [
      0.68118301616716,
      0.352746782480303,
      0.481680355980579,
      0.518360768600403,
      0.750718354804716,
      0.459916286587361,
      0.643233597273811,
      0.369295731126371,
      0.0963811142708672,
      0.306804932247265,
      0.137423699165109,
      0.080320405812427,
      0.166220976961778,
      0.144177351287545,
      0.171174812864189,
      0.0463469336475643,
      0.127022919466066,
      0.18084420935681,
      0.11711129966715,
      0.0477796180053785,
      0.136686746625061,
      0.136005169665632,
      0.0976863646308281,
      0.466972438268796,
      0.0840242324593934,
      0.107928556016581,
      0.349991577558207,
      0.159934195367958,
      0.124630904004861,
      0.400432163988654,
      0.186659045857487,
      0.120142507715724,
      0.157657496964126,
      0.114234538446012,
      0.0630689455532823,
      0.105320869239802,
      0.18791737971201,
      0.172092262625549,
      0.118572147168637,
      0.0641306669630262,
      0.225449118746781,
      0.6858353172077,
      0.4231990589226,
      0.213422127395449,
      0.542425062548608,
      0.552378364430096,
      0.182020255534125,
      0.252043463408434,
      0.232406268535211,
      0.22992701070651,
      0.220416240834735,
      0.911627675079457,
      0.757267048972956,
      0.877211490001532,
      0.742922275358072,
      0.609233112130944,
      0.69477885501451,
      0.38995246940276,
      0.172616161618335,
      0.590262645018208,
      0.72954611630284,
      0.92094917952922,
      0.302194676294188,
      0.329781085778837,
      0.732534124135447,
      0.618935633471225,
      0.406395750904567,
      0.97790400970907,
      0.599514666140165,
      0.622853923095683,
      0.469243647608703,
      0.654458768865091,
      0.572648834090565,
      0.929928649645713,
      0.83577314092474,
      0.677617779925733,
      0.724745340553181,
      0.716067631723209,
      0.772254169846387,
      0.80920029717386,
      1,
      1,
      0.998096883592706,
      1,
      0.824019532797545,
      0.196603388967059,
      0.157180471858674,
      0.0784649871301556,
      0.0273840886791082,
      0.155542412192288,
      0.234743184889596,
      0.191805689644618,
      0.176359039056994,
      0.136323923780713,
      0.455124662638622,
      0.466145712980737,
      0.220310307439938,
      0.112472504547622,
      0.147006280640926,
      0.750955619731996,
      1,
      1,
      1,
      1,
      0.779514849233092,
      0.260611274489641,
      0.233957829897212,
      0.0875100141416088,
      0.0684292746533153,
      0.258035683276964,
      0.259571787700102,
      0.122487412351041,
      0.157056139142797,
      0.269709100281113,
      0.106969853583538,
      0.238084717278283,
      0.306701916141326,
      0.436507201258647,
      0.757986223229033,
      1,
      1,
      0.998796067514089,
      1,
      1,
      0.354664431773494,
      0.15178614771671,
      0.112402650379999,
      0.0212322471382119,
      0.116348292537504,
      0.268134518986888,
      0.192017933118841,
      0.221776116548839,
      0.127591406476886,
      0.466466847148069,
      0.484943171086111,
      0.284479117711634,
      0.169260280320933,
      0.0493605829487946,
      0.327090112110116,
      0.776959978220142,
      0.458616762880137,
      0.177827528125177,
      0.181271304326268,
      0.844763266884369,
      0.333151613629547,
      0.287789097577501,
      0.251602456888097,
      0.256552421796581,
      0.187878190719962,
      0.617738836867865,
      0.547573548479612,
      0.67595573666515,
      0.714885008140769,
      0.79207927379415,
      0.789575379605842,
      0.634560872728193,
      0.505327946741691,
      0.502086749001252,
      0.97697667851845,
      1,
      1,
      1,
      1,
      0.633579314063814,
      0.189463331877275,
      0.141259594583476,
      0.0435004097992838,
      0.0435208166942985,
      0.238530968087229,
      0.215298719287397,
      0.189451744062225,
      0.108725060606437,
      0.18006971755057,
      0.399450306346079,
      0.407853730727873,
      0.189147149536506,
      0.0727203467764366,
      0.19181667657733,
      0.888832939589488,
      1,
      1,
      1,
      1,
      0.567405531795589,
      0.250897009858578,
      0.238321463324886,
      0.0347489196079653,
      0.0949681554296869,
      0.319321075420037,
      0.242878951859517,
      0.0749840670922385,
      0.161316125032771,
      0.223099008843764,
      0.134018019683313,
      0.231408090967535,
      0.290291860251599,
      0.502052268726976,
      0.672095794772925,
      0.778093177164515,
      0.496946391788538,
      0.272226923840166,
      0.139534258531608,
      0.774233674188954,
      0.347305695495003,
      0.25258954748008,
      0.210314053958076,
      0.194638709989898,
      0.287939151005832,
      0.594859934481849,
      0.800363416389304,
      0.846944195609212,
      0.743233651727137,
      0.756350887316495,
      0.738849319229408,
      0.468806417555759,
      0.256531858502555,
      0.234246692075694,
      0.824866185147044,
      0.941853875442127,
      0.629643267277884,
      0.246765252171813,
      0.568731956622734,
      0.800533009057961,
      0.372102144645399,
      0.695279311374067,
      0.960744456257507,
      0.374233059530809,
      0.458789212316481,
      0.682809438437778,
      0.756502545463155,
      0.591277431368732,
      0.966274284683416,
      0.608582925396311,
      0.811498847111763,
      0.683499676819869,
      0.756260558732214,
      0.758021031550541,
      0.975256742542126,
      1,
      0.998621792149646,
      1,
      1,
      0.446542677593752,
      0.156848827267095,
      0.122540277440365,
      0.0266317177082809,
      0.0528845618791779,
      0.239312148503869,
      0.201505626964366,
      0.206762738967691,
      0.108606292936931,
      0.297467134105747,
      0.435823565719634,
      0.308994727477036,
      0.17102861433484,
      0.0840206025279398,
      0.346328731592396,
      0.997892762263676,
      1,
      1,
      1,
      0.998129165405094,
      0.393320516157325,
      0.236922185776781,
      0.220389552363172,
      0.0275767790319922,
      0.153334614245639,
      0.26129682183931,
      0.234946183107398,
      0.0877463686622357,
      0.275265249652431,
      0.183362661832165,
      0.192157114551927,
      0.295100670813736,
      0.406345645838037,
      0.571871810187054,
      0.711520775882657,
      1,
      1,
      0.999858866753845,
      1,
      0.738741575470396,
      0.173537092800298,
      0.141686823015614,
      0.054840637029525,
      0.0506106644110028,
      0.23763022460437,
      0.230812592581323,
      0.201760183059332,
      0.154619511283468,
      0.159897784404789,
      0.602812862230457,
      0.417805155662456,
      0.207928895515707,
      0.096055227050261,
      0.177788673237391,
      0.475165561888806,
      0.759612643303038,
      0.327746758145436,
      0.146445748608749,
      0.55063558829274,
      0.612394179968744,
      0.281976678320927,
      0.211689408952396,
      0.256981783162032,
      0.262435162003621,
      0.251291875329076,
      0.688410482968106,
      0.6324906998942,
      0.837193841194196,
      0.710376979375429,
      0.667893152427599,
      0.808859700123053,
      0.534606936180332,
      0.536954445215197,
      0.691376563343863,
      1,
      1,
      1,
      1,
      0.957858924683218,
      0.265933004409413,
      0.163665840101016,
      0.113865558507204,
      0.0140302453197076,
      0.139386191713675,
      0.246223541840937,
      0.177629178230888,
      0.178981773096106,
      0.0639274432050599,
      0.376272255810147,
      0.420635015148811,
      0.237130189568272,
      0.145098840686581,
      0.0483902676945741,
      0.562231360982173,
      1,
      1,
      1,
      1,
      0.88162820395585,
      0.303701350726845,
      0.237493366669995,
      0.166251347940179,
      0.0530924678577742,
      0.236167256844211,
      0.240567334313607,
      0.174808039356571,
      0.0835932088354064,
      0.248786968968857,
      0.131453494123565,
      0.200200601014302,
      0.237699434050075,
      0.281611274943568,
      0.650786309351795,
      0.991215087903314,
      1,
      0.998609363805438,
      0.999198320556373,
      1,
      0.511863524844972,
      0.163501824926582,
      0.174602915263623,
      0.0796245967375743,
      0.13408288097587,
      0.336475451161514,
      0.202771391024929,
      0.219076014184394,
      0.178359007561518,
      0.274612992120159,
      0.337104866404458,
      0.333830972096716,
      0.194028428455893,
      0.0665409798435134,
      0.119379444412767,
      0.531891350659076,
      0.889185368463693,
      0.299907610684246,
      0.330451606055582,
      0.74062099395404,
      0.621718843587263,
      0.27958315852098,
      0.976956834970529,
      0.595794788721351,
      0.644750601952054,
      0.475033245304943,
      0.648954651980757,
      0.575549657621855,
      0.929795433393495,
      0.832706560407274,
      0.678951952122073,
      0.72917354941579,
      0.860537767328307,
      0.749049428564657,
      0.425072185319407,
      0.99956859956521,
      1,
      0.998950503248627,
      1,
      0.824539525228473,
      0.195045364348738,
      0.154355199743114,
      0.0712098539934047,
      0.0261635392835604,
      0.197960803176697,
      0.227849415474761,
      0.188495945644412,
      0.158934375158625,
      0.0953129651518846,
      0.442941882072677,
      0.411458764134118,
      0.207686247971546,
      0.104512324548428,
      0.0946167540006717,
      0.781322268056121,
      1,
      1,
      1,
      1,
      0.781138656360306,
      0.256347875049982,
      0.239230579645475,
      0.084250046903398,
      0.0573687585354425,
      0.234764097535322,
      0.243687910731089,
      0.115332714197542,
      0.106940134931375,
      0.25011561884643,
      0.105145314441521,
      0.222990743775642,
      0.285363999530542,
      0.344047454767394,
      0.531628884948716,
      0.942507231389416,
      0.872808655955026,
      0.586713263319832,
      0.824852335300021,
      0.943105365470979,
      0.377425805790039,
      0.165017957245884,
      0.134085428416459,
      0.0956331461644628,
      0.215795376596954,
      0.518988979305539,
      0.961214787159684,
      0.924958125739998,
      0.748155852108715,
      0.723730663920774,
      0.828399797743003,
      0.900160741772509,
      0.501589467041444,
      0.1330456374554,
      0.740979946186135,
      0.944498883431144,
      0.894066534601762,
      0.655111295428588,
      0.982871334008941,
      0.86415830030914,
      0.327570833168802,
      0.184163984799642,
      0.0956110475006849,
      0.146121090865197,
      0.28778303427872,
      0.588663769850559,
      0.760858826442165,
      0.962266067376333,
      0.728435435222211,
      0.959633741711284,
      0.869613364888318,
      1,
      1,
      0.897266957096068,
      0.646489824176524,
      0.704144966018012,
      0.300965082937441,
      0.147634989390189,
      0.182255975710296,
      0.309899573617748,
      0.223186214379561,
      0.354987754842078,
      0.410560496434688,
      0.0687001650310091,
      0.366330954162075,
      0.106679631298402,
      0.100934068862234,
      0.237281406686582,
      0.0943218401042359,
      0.129979379997114,
      0.0651148503259072,
      0.0907415378439528,
      0.27979608959462,
      0.104324889692548,
      0.0958167338468933,
      0.0653845293503383,
      0.0756654720029285,
      0.0703346045687682,
      0.19265317424369,
      0.0813516351869855,
      0.10568465558297,
      0.241929003062097,
      0.17235948297345,
      0.11816946778886,
      0.320622010504496,
      0.100190775205171,
      0.180630405413679,
      0.167894606088261,
      0.0720868099256739,
      0.0996115063655799,
      0.105571253733689,
      0.180961080504496,
      0.170542050690381,
      0.101175687664001,
      0.0763307012911012,
      0.100494252599726,
      0.0674262437396968,
      0.138669920268747,
      0.0600144162528427,
      0.252414838127878,
      0.11515058552778,
      0.131376606500132,
      0.163940923487297,
      0.202122127267855,
      0.210449912363719,
      0.115935277160219,
      0.187659033247066,
      0.214665024270026,
      0.560585565123492,
      0.329105575389927,
      0.128384547527011,
      0.12716706919255,
      0.104692259473027,
      0.136689517184498,
      0.196638330954601,
      0.162855081799749,
      0.174237636625201,
      0.128839258770569,
      0.175780158514933,
      0.221101432403345,
      0.312238341246648,
      0.206106891011271,
      0.115744514456488,
      0.220236710507605,
      0.283859506954907,
      0.177995937867277,
      0.173991633021177,
      0.36254593901052,
      0.25837411098482,
      0.224462438640405,
      0.225115972265622,
      0.152710680236114,
      0.24947411728293,
      0.169312784646687,
      0.400796213899054,
      0.615705060680714,
      0.381195189119353,
      0.569874100610124,
      0.0830093274227991,
      0.167788479427534,
      0.164989084848274,
      0.146633213275755,
      0.0774160821779192,
      0.0264156800580757,
      0.170547780354822,
      0.191165708974838,
      0.154224672106111,
      0.148145169281386,
      0.0949331757056521,
      0.0951871734763063,
      0.265446493349721,
      0.190337084527186,
      0.111435027006295,
      0.0841931483680021,
      0.49235468494315,
      0.532424978516492,
      0.48495010636731,
      0.282825420651484,
      0.091163801948716,
      0.282607517657809,
      0.196663150376289,
      0.17901893666772,
      0.0593771835706924,
      0.0691179669606797,
      0.215190705402696,
      0.170287424818776,
      0.0699319076380376,
      0.122225002972296,
      0.256197941068553,
      0.0555221911114919,
      0.0764606973798367,
      0.120145952867347,
      0.271357447947651,
      0.302212696157002,
      0.687045841710267,
      0.422871323015629,
      0.564761021395674,
      0.129027285369834,
      0.119412251362468,
      0.216826110154792,
      0.146585392366518,
      0.107698341740445,
      0.016008814521835,
      0.107961705950814,
      0.243865794714442,
      0.145235717421046,
      0.187729080582301,
      0.0746359895275105,
      0.126801322794917,
      0.1934577964826,
      0.211578091395143,
      0.147060623041758,
      0.0379232052678096,
      0.102423738198758,
      0.164174577842973,
      0.139975749003823,
      0.0669818586710502,
      0.196628237076886,
      0.245590218709717,
      0.185804069921665,
      0.189369451359527,
      0.131576118165663,
      0.19733933917217,
      0.211316878774727,
      0.151271053518693,
      0.179887047377336,
      0.208620438144154,
      0.134484009288547,
      0.135639134486892,
      0.14390932435429,
      0.230547680162403,
      0.251451122502006,
      0.324730442197579,
      0.646285136723362,
      0.515045443949715,
      0.402327605547466,
      0.423476266562133,
      0.0988726058444449,
      0.203206487741039,
      0.164391342721195,
      0.12834409251757,
      0.0418550906507701,
      0.0455374272993729,
      0.214465648588127,
      0.164173487550207,
      0.169385112448331,
      0.0800054968181305,
      0.0710120716643036,
      0.113313772569043,
      0.263897984533278,
      0.166255852812889,
      0.0643895691040325,
      0.0715067359498912,
      0.603332162046941,
      0.514020415680409,
      0.482983092744449,
      0.139970312774745,
      0.105663688202572,
      0.310551371765844,
      0.178862622883947,
      0.182791107870933,
      0.0319675293301415,
      0.0943266957271714,
      0.248487399576645,
      0.174253511245457,
      0.032720862417965,
      0.15220974704437,
      0.208371227248716,
      0.0602335603599351,
      0.0871198803934366,
      0.101957917068955,
      0.0778696340451421,
      0.22725112323819,
      0.185414647602535,
      0.145561799779006,
      0.0499770203565395,
      0.0962864380703137,
      0.237144512009647,
      0.153628734889296,
      0.166963408016368,
      0.0879389633351005,
      0.244839994873776,
      0.194213879207209,
      0.193467203874818,
      0.255988556153936,
      0.315149854255659,
      0.540779242176824,
      0.188831908086813,
      0.15107332504599,
      0.136496271278888,
      0.0640640981968962,
      0.207723820916694,
      0.108101481414503,
      0.202907708696637,
      0.175032459234295,
      0.180798506041272,
      0.195425266562992,
      0.233069033515528,
      0.249079736941738,
      0.185920991019509,
      0.200237561623863,
      0.225452309248457,
      0.181875946441179,
      0.183889432062429,
      0.274209741369036,
      0.393277798835439,
      0.231011024284939,
      0.172351616981213,
      0.176972868102321,
      0.183685554591265,
      0.203775115895411,
      0.254520182945072,
      0.653133559073654,
      0.454134012360282,
      0.525366408036079,
      0.208059938646097,
      0.104870386634159,
      0.210563264354737,
      0.144530602354563,
      0.117576578555217,
      0.0208939398392948,
      0.0637639805023762,
      0.240303095407693,
      0.152931056488008,
      0.180926404470868,
      0.0707133887994483,
      0.0895356272649943,
      0.23929082636634,
      0.254601832585828,
      0.156099341554781,
      0.0625274255320386,
      0.096174009380558,
      0.70037398566167,
      0.500174368510802,
      0.491057164879111,
      0.0742115667717473,
      0.158513512149107,
      0.284961205386917,
      0.175788462565568,
      0.168202941458432,
      0.019268278128096,
      0.15054130075308,
      0.196534215735132,
      0.167448119141088,
      0.0342772207370923,
      0.265048683220097,
      0.137696505314953,
      0.0496592563787131,
      0.0813406817362376,
      0.132211086027511,
      0.292579909783905,
      0.689690782680282,
      0.571281062591425,
      0.381189995228203,
      0.501047854347978,
      0.0884002606840685,
      0.176823089673851,
      0.17089366902371,
      0.142029903891239,
      0.0546512660512392,
      0.0389462450079588,
      0.22581263323458,
      0.174062699406034,
      0.166486127516547,
      0.122948170222213,
      0.0795786381502168,
      0.10572247051833,
      0.253771501036153,
      0.175219754116488,
      0.0772759705850342,
      0.0743969850347099,
      0.101606227490826,
      0.142708470786531,
      0.116579282351433,
      0.146574691408519,
      0.253901020439472,
      0.206897960950906,
      0.191929589851814,
      0.120836333841222,
      0.152378802417675,
      0.272712647446038,
      0.163167133671383,
      0.172118988462046,
      0.182255073253055,
      0.135271951832557,
      0.178694793645618,
      0.114418434771722,
      0.189175901318633,
      0.18612654797357,
      0.263022981864721,
      0.4409677216463,
      0.741367395898539,
      0.398731115886623,
      0.569839489861616,
      0.0887592174204641,
      0.142528780411095,
      0.198404764670473,
      0.156201287802311,
      0.105614362973738,
      0.0188131199764015,
      0.115150707913037,
      0.221225636295252,
      0.142191465903984,
      0.164557726053354,
      0.0425995103693661,
      0.105225859555887,
      0.189767204765594,
      0.2090509704746,
      0.13716146804213,
      0.0420934252211413,
      0.262350283722879,
      0.583903440066775,
      0.486684294440088,
      0.426495468132345,
      0.0820936258623191,
      0.225469444490288,
      0.228565885086767,
      0.17866348144815,
      0.129486681808695,
      0.0495125676096101,
      0.195080870565175,
      0.168039087187326,
      0.121700915175011,
      0.0410455109025537,
      0.260468791591183,
      0.084356592102031,
      0.0533618109260197,
      0.0925119041021811,
      0.110009440379837,
      0.202898993175059,
      0.616713723992207,
      0.488191506177859,
      0.46635504956952,
      0.321952022713118,
      0.148263953818159,
      0.235465835522121,
      0.161354026108499,
      0.126425977722027,
      0.0371330215263698,
      0.0673760036939241,
      0.243501152795729,
      0.159861899802001,
      0.190721511975057,
      0.102272203265045,
      0.0992982392972843,
      0.1952165896075,
      0.279496588321632,
      0.169929815460874,
      0.0550417627259852,
      0.073590991374897,
      0.1463809017431,
      0.154915045560325,
      0.129660055306908,
      0.182085097604471,
      0.224331002360278,
      0.317249889381681,
      0.204906433473462,
      0.114531614266552,
      0.220936650444863,
      0.283365098760169,
      0.165774778774718,
      0.166807232517817,
      0.364053186391063,
      0.256327412778004,
      0.191821785675898,
      0.198227898381871,
      0.149784140237636,
      0.176090256467946,
      0.207599275420384,
      0.439197801524973,
      0.627175974274397,
      0.377980277103879,
      0.556073189257139,
      0.0895844280656524,
      0.164606132073345,
      0.162985103917944,
      0.150405283584821,
      0.0690190165468092,
      0.0235046482924335,
      0.182928401115291,
      0.189212987936312,
      0.157087554996563,
      0.137183069878118,
      0.0579273500056405,
      0.0844605994383724,
      0.22971239241646,
      0.182827065286892,
      0.0982757793982809,
      0.0561561765249665,
      0.473540952289765,
      0.532029844443262,
      0.480251498675544,
      0.278434432800934,
      0.105028697457051,
      0.280024650687318,
      0.198333496093759,
      0.185446304322169,
      0.0567391940632642,
      0.0818756349860824,
      0.212589957549579,
      0.175970779677658,
      0.0751696461786583,
      0.076205362542212,
      0.238393805361335,
      0.0540847949302205,
      0.0372812269695384,
      0.0657623757853988,
      0.073014685240803,
      0.179861697237398,
      0.203793871265621,
      0.112775385250039,
      0.216409998001652,
      0.469239931860557,
      0.547957984452265,
      0.169001064349105,
      0.141102469202,
      0.130907793319483,
      0.156548461976211,
      0.237355228406544,
      0.279429384837103,
      0.155244258423531,
      0.244342411228332,
      0.325345060761077,
      0.208513578706974,
      0.186768813308588,
      0.188304820202993,
      0.0859300590018051,
      0.0939573099779284,
      0.172212543674502,
      0.159812862892699,
      0.171540185887061,
      0.196633650192459,
      0.555663918647989,
      0.281549565128124,
      0.147923399308187,
      0.173661664517703,
      0.108020549892161,
      0.159253265431784,
      0.303944577758462,
      0.156062300439994,
      0.14982481296295,
      0.207528374056987,
      0.4112846789661,
      0.11167263103783,
      0.0989593554343339,
      0.0260625616287556,
      0.0210893058062138,
      0.147612881404838,
      0.540799914548929,
      0.551112487059312,
      0.57350393156104,
      0.2037816352244,
      0.203897388616866,
      0.283978836881229,
      0.235597907646072,
      0.245221508032522,
      0.328763776881925,
      0.54624723421607,
      0.625453527780958,
      0.183492213713137,
      0.229204114572479,
      0.433879437939248,
      0.0486468626864314,
      0.381796013191658,
      0.0936916087632556,
      0.269378833113227,
      0.227241964491699,
      0.102144653883672,
      0.143743257977934,
      0.0711299456982027,
      0.160548850863662,
      0.114800493246578,
      0.263138586347749,
      0.485237360797501,
      0.371500840222551,
      0.219191505983071,
      0.474476982970096,
      0.832718263137073,
      0.561549988359769,
      0.127790069157415,
      0.545909038693351,
      0.151714500282823,
      0.083977121628199,
      0.439024192152492,
      0.192185039521265,
      0.492955338810395,
      0.210312538210916,
      0.124755559856278,
      0.253665439068923,
      0.0909576510025411,
      0.205737192819385,
      0.204468273311184,
      0.123356356575119,
      0.257798064472578,
      0.168874876201043,
      0.903222437630086,
      0.773530601703407,
      0.671971248406252,
      0.64054842870159,
      0.540221507528711,
      0.245322525550364,
      0.270787409237519,
      0.259418825776888,
      0.284665524376602,
      0.119411112688058,
      0.235259085921799,
      0.169196772931407,
      0.308598929982485,
      0.239466320730948,
      0.116225371449482,
      0.37239303419996,
      0.984772790432075,
      0.573306468014786,
      0.546012451348414,
      0.529572875419556,
      0.710203199594182,
      0.434930179392882,
      0.705552970925397,
      0.844420367607217,
      0.438997178139128,
      0.189274236135356,
      0.455764167332953,
      0.154950427871374,
      0.265848513991135,
      0.132133922497637,
      0.14846118801705,
      0.410996373935353,
      0.506175777206213,
      0.653983466467074,
      0.3307532346663,
      0.206271077399155,
      0.245281376962597,
      0.0467224918460824,
      0.172286422930063,
      0.244933193646387,
      0.195625992072566,
      0.110854562462498,
      0.0426430073718738,
      0.321437312755932,
      0.172883201827838,
      0.153868771353325,
      0.12430260504434,
      0.0746953952559929,
      0.0864462101744682,
      0.240745041334486,
      0.1758641858645,
      0.0836233751108252,
      0.072703176796831,
      0.320928341665698,
      0.26709696890173,
      0.254306897816805,
      0.106722402464715,
      0.0610037891660808,
      0.239824968542504,
      0.221198955809711,
      0.16702027107654,
      0.0600501019570164,
      0.14198386868352,
      0.38689740121563,
      0.176696095343111,
      0.0900905412815657,
      0.172226342978768,
      0.23087505286645,
      0.0339626112409892,
      0.0744931133612995,
      0.199338483675889,
      0.304790307865727,
      0.261389385361169,
      0.444072053410457,
      0.209406473037679,
      0.268002939638232,
      0.044649385159281,
      0.114657129072853,
      0.266594502703487,
      0.214733765386383,
      0.142365210369257,
      0.0427322859830434,
      0.218222610897134,
      0.252941865883783,
      0.140424626927218,
      0.165538316294309,
      0.0410080432954269,
      0.120756062221189,
      0.324220158063271,
      0.185905547403583,
      0.125748261299644,
      0.0222426823169473,
      0.104800800536366,
      0.196761733082022,
      0.192952649929889,
      0.0857613470388257,
      0.405383229780128,
      0.289912654785313,
      0.680663662652092,
      0.522367632216706,
      0.508189066996,
      0.445479720753741,
      0.825239961466452,
      0.24591498760231,
      0.205767092636333,
      0.616018783695558,
      0.282282994336542,
      0.217354859180598,
      0.17747860326459,
      0.615938456797907,
      0.338242409652914,
      0.480779903202923,
      0.509308583423063,
      0.2637395692374,
      0.217562261969498,
      0.167456452710617,
      0.0645640694488345,
      0.22537579144617,
      0.226163080491674,
      0.1795493722119,
      0.0838792207377004,
      0.101961046937416,
      0.315807893765554,
      0.155326860817392,
      0.157205363383014,
      0.0641525853985995,
      0.0661995072672432,
      0.154441239727761,
      0.2568646748738,
      0.143153035105483,
      0.0417922244723803,
      0.0638716113622994,
      0.370164982567794,
      0.269795540552949,
      0.245123197824587,
      0.0680564608720119,
      0.141933582878141,
      0.296183196987537,
      0.182801044599838,
      0.184428323827664,
      0.040892037448065,
      0.262322891100242,
      0.308953158492026,
      0.178428633747771,
      0.0244644783183219,
      0.162716793980465,
      0.18301538578989,
      0.049900011488497,
      0.136480991994924,
      0.112224709980734,
      0.324006984683651,
      0.24668303947633,
      0.304462272485495,
      0.399621795402271,
      0.0756125457488865,
      0.186119568922108,
      0.253108699275023,
      0.595659773814409,
      0.815781159652494,
      0.610834326783705,
      0.652446964755112,
      0.697887313910253,
      0.353137003347045,
      0.283994575962672,
      0.27050909245434,
      0.311727444973201,
      0.186446554494125,
      0.218039631120172,
      0.232751195561152,
      0.116641822086959,
      0.414140309328227,
      0.0935670972933507,
      0.259530904509112,
      0.707649964477649,
      0.964592649583412,
      0.262059354925018,
      0.591726964828827,
      0.710478536192261,
      0.511542198713827,
      0.46350506656912,
      0.916404138277479,
      0.706258033128192,
      0.197940078356277,
      0.225334630355805,
      0.468809761422212,
      0.206208156821116,
      0.16236553767148,
      0.133691043813967,
      0.220835195191747,
      0.57357435227913,
      0.57067038683698,
      0.534103861067328,
      0.225057453445148,
      0.249866300550546,
      0.0649115959690553,
      0.106323353077883,
      0.253217307668986,
      0.219306376597867,
      0.155825016613643,
      0.0509299370286603,
      0.193116342670803,
      0.280551186091738,
      0.143189380735012,
      0.174869913588526,
      0.0566540484535078,
      0.0988257211900274,
      0.206236941253498,
      0.230493917275875,
      0.148209909374898,
      0.0480135734312434,
      0.0937053023630098,
      0.390944639167991,
      0.258377067715422,
      0.23257833034634,
      0.0377117865795705,
      0.133431069405964,
      0.275743618444403,
      0.179093260707207,
      0.154415358432069,
      0.0393170459123315,
      0.373203770919739,
      0.205649173623835,
      0.170885487316847,
      0.0627890897260655,
      0.240491027102458,
      0.113260436258733,
      0.0529751369510007,
      0.118116859469902,
      0.222479511836685,
      0.214958795110024,
      0.729072341684444,
      0.291029156142747,
      0.206924922313276,
      0.20295187535046,
      0.0559008216256766,
      0.193717141317295,
      0.246433998373963,
      0.186207393982007,
      0.0919771221745904,
      0.0667620519857278,
      0.341704352045917,
      0.163698973269975,
      0.159072949490613,
      0.0924729401585053,
      0.078316810443226,
      0.160377089633578,
      0.220943979356081,
      0.150599678253178,
      0.0615804608421135,
      0.0673104823949392,
      0.112835423843033,
      0.193575052719008,
      0.154213491183889,
      0.28468800176603,
      0.352390442825788,
      0.296814110052758,
      0.758373967606154,
      0.432709320271991,
      0.588289639735743,
      0.607370836192628,
      0.553842352110489,
      0.197808605890898,
      0.252022041585514,
      0.552010677408245,
      0.298105202628968,
      0.187890272291758,
      0.440671737812023,
      0.467888905712774,
      0.378826872672881,
      0.552278181043001,
      0.450856328836941,
      0.215097966143382,
      0.262018211877127,
      0.0334227025816332,
      0.13268770752268,
      0.248499666339615,
      0.20131168563405,
      0.144412812799778,
      0.0395717550339716,
      0.264573302566564,
      0.21941431879539,
      0.138707321462783,
      0.143748854365112,
      0.0422785612524832,
      0.111940444277563,
      0.229184628942419,
      0.18558069867884,
      0.110377431148098,
      0.031985616646476,
      0.197342180601057,
      0.308435463035305,
      0.267138386638209,
      0.190469474463305,
      0.0832834562063556,
      0.254792738411626,
      0.238017324846615,
      0.173361775597595,
      0.140076236422319,
      0.0721678439034028,
      0.411659178942628,
      0.176877828279658,
      0.118292588987233,
      0.0383226670464638,
      0.262845803657939,
      0.0632957094454038,
      0.0917028162267135,
      0.104947185604045,
      0.220361564473684,
      0.325560430382219,
      0.474093931067097,
      0.255181017187402,
      0.282193175838041,
      0.205351314486684,
      0.1776058893394,
      0.43876974874264,
      0.223076146992458,
      0.168049357602015,
      0.0751091638690825,
      0.181784476484623,
      0.309694814841382,
      0.140517759745647,
      0.179521075603949,
      0.0754836338088059,
      0.121963848616776,
      0.180537600674748,
      0.258175059154858,
      0.152167973212981,
      0.0369709905591293,
      0.271111900324115,
      0.143478212890919,
      0.220755381238625,
      0.98798461283107,
      0.571375554112285,
      0.558795162832534,
      0.528193519932884,
      0.713997952847075,
      0.440296313480627,
      0.710709761103823,
      0.867891187914089,
      0.435357483127246,
      0.184293075341513,
      0.458122015436431,
      0.15975586488322,
      0.23345759450997,
      0.0991206800271112,
      0.144921377320456,
      0.175596147546179,
      0.291273341648115,
      0.784812251225495,
      0.336342074949836,
      0.212252961982332,
      0.226585565950729,
      0.0448715714434783,
      0.199550247066221,
      0.228431273208972,
      0.193674556338332,
      0.111802509552894,
      0.0580640118805976,
      0.352007779883941,
      0.173500372358803,
      0.14881228878116,
      0.109034791707749,
      0.0632710692303665,
      0.118301462155678,
      0.209018042069985,
      0.160752115658914,
      0.0718310091327643,
      0.0571295045881157,
      0.322506871154579,
      0.282225082513391,
      0.249617058107694,
      0.0972231632306052,
      0.0918106830177105,
      0.247322196359462,
      0.216991262810034,
      0.168300995519528,
      0.0614141422338828,
      0.147217507938345,
      0.411766677045755,
      0.175603345013085,
      0.0811612345289211,
      0.0649706570417105,
      0.210673466061382,
      0.0292743598876534,
      0.0406462850768377,
      0.0807809189864069,
      0.080474894852205,
      0.19097759264595,
      0.245586996611254,
      0.138505509469722,
      0.184867197784515,
      0.174224416399467,
      0.358997781945839,
      0.574982202794139,
      0.680231046770094,
      0.913160052350634,
      0.613463258155343,
      0.680887123794627,
      0.622214136350648,
      0.19363171038627,
      0.0950029246361835,
      0.246031020217139,
      0.199752861982853,
      0.168806666393293,
      0.215340628661403,
      0.146311938241884,
      0.0844154522412192,
      0.158333079282056,
      0.151573122098805,
      0.194341403242324,
      0.166647998673831,
      0.214691433023949,
      0.487922486876826,
      0.799742132909636,
      0.840706161605841,
      0.647702188300856,
      0.420952114089379,
      0.898927496243416,
      0.251374344001903,
      0.256137615613961,
      0.0704885017066402,
      0.162296230217354,
      0.0839952803665652,
      0.0858261519396701,
      0.0202246687122487,
      0.016878334741046,
      0.0949814847498533,
      0.528343366986178,
      0.537969341202419,
      0.429229098486173,
      1,
      1,
      0.883631499098812,
      0.961453449916775,
      0.506568168563085,
      0.304753951682066,
      0.441306174691221,
      0.967276905443978,
      0.666673240242025,
      0.279532268310196,
      0.959430560917275,
      0.077844995440307,
      0.759868696873626,
      1,
      0.840671420925863,
      0.934849107337997,
      0.170897169720603,
      0.804796011465337,
      0.806519738915895,
      0.808076788703934,
      0.999026829760121,
      0.984570630784188,
      0.296422423815409,
      0.654606570998066,
      0.201019781612017,
      0.30738388821633,
      0.59643643148742,
      0.801233044829315,
      0.401875009435883,
      0.36512515628041,
      0.678568793115291,
      0.134859765524147,
      0.953581773236943,
      0.923820678944413,
      0.863508130833201,
      0.721726269200964,
      0.178327887232345,
      0.988863528796043,
      0.614158342831383,
      0.897011757177073,
      1,
      0.992198751361588,
      0.836591741544709,
      0.727410914406309,
      0.143881114286131,
      0.248173674383865,
      0.448270181876884,
      0.222889670293938,
      0.204573300075772,
      0.817561432460794,
      0.872461252854274,
      0.881789123347277,
      0.767806651336754,
      0.328277891481032,
      0.915672753821903,
      0.99819103938873,
      0.911344984126661,
      0.673485305643484,
      0.402492922664039,
      0.900604410635986,
      0.611630200661939,
      0.816036422582751,
      0.67202288888047,
      0.549073727447101,
      0.218763681255206,
      0.434064983804458,
      0.228758498900189,
      0.320866908645261,
      0.383135261326784,
      0.686751643160578,
      0.417757491407066,
      0.11599421971307,
      0.768551899170501,
      0.606470504794694,
      0.993424249859857,
      0.749366119146424,
      0.483472346376089,
      0.624930547229612,
      0.313574114904939,
      0.182074193741229,
      0.24027033934217,
      0.0595583060910602,
      0.297796715298557,
      0.228408578922895,
      0.216665668545577,
      0.120718282441208,
      0.0436101325574768,
      0.182688693369655,
      0.244039681041945,
      0.205964713985003,
      0.195211766816183,
      0.139079079022217,
      0.267489687623005,
      0.356226978373816,
      0.228677638315641,
      0.133639220004096,
      0.11736937262034,
      0.372397170300393,
      0.237487961518337,
      0.239662367333685,
      0.117763926109771,
      0.109198178782999,
      0.288213962072116,
      0.193374169127838,
      0.16794482972188,
      0.0835076205605506,
      0.0673599421614096,
      0.242915918322338,
      0.230436445525109,
      0.119016306968978,
      0.198024847129252,
      0.337384863522741,
      0.0831303527506064,
      0.166844765041165,
      0.247752426918297,
      0.351126581248511,
      0.742696453318767,
      0.413551935785765,
      0.198550155475394,
      0.236543556073046,
      0.0624068096406441,
      0.195326951727875,
      0.299399217468089,
      0.216249826814022,
      0.180052566492573,
      0.0469187717081527,
      0.186563354510982,
      0.278025184391535,
      0.192812622530972,
      0.231437459634519,
      0.101186221094651,
      0.272433003200148,
      0.34037940968841,
      0.276987685665392,
      0.176740410734577,
      0.0384965948181104,
      0.22869542787695,
      0.475332551739996,
      0.976524039211717,
      1,
      0.970864848659831,
      0.762430766665518,
      0.392917129712273,
      0.206638347691285,
      0.241046986161802,
      0.590959275122991,
      0.574509122369615,
      0.50405886852889,
      1,
      0.775270694779913,
      0.378637470559959,
      0.430049973321624,
      0.526770906226432,
      0.486682008526945,
      0.282417094108634,
      0.339392478685573,
      0.529689518093647,
      0.257427710744034,
      0.212073223719285,
      0.17866892611778,
      0.123905913125669,
      0.441928872898018,
      0.210303217132598,
      0.17852595329247,
      0.0767833174054148,
      0.101904324665924,
      0.258741818269958,
      0.220064175842665,
      0.215184455686053,
      0.122239150587388,
      0.205976497424471,
      0.596170351404855,
      0.410618072701977,
      0.222205664111967,
      0.094558733546047,
      0.257977351448642,
      0.398326711253,
      0.260598810941748,
      0.234421297786518,
      0.0653427896875292,
      0.25668750850463,
      0.356485328116287,
      0.144820761616829,
      0.145093997342035,
      0.0452023272324054,
      0.148895784448995,
      0.292566176186778,
      0.256288474573773,
      0.0792059810953228,
      0.275229368245741,
      0.286621206147084,
      0.136427790457735,
      0.283220563339803,
      0.192113725945243,
      0.637340259257692,
      0.843003299492649,
      0.595769751478237,
      1,
      0.992156268766912,
      1,
      0.648961344485887,
      0.557766655560287,
      0.186536961230896,
      0.330456981122297,
      0.308882245323378,
      0.298723363901826,
      0.533813167306266,
      0.891831079363068,
      0.89307122599636,
      0.868003421519285,
      0.495473407785715,
      0.620157194251889,
      0.999040439499545,
      0.914627834069262,
      0.908814090197475,
      0.41584153541416,
      0.673234394585079,
      0.76926864665135,
      0.638223734016485,
      0.917013456898161,
      0.573335344309122,
      0.287172392178027,
      0.346602091770169,
      0.409536396943382,
      0.19010497975989,
      0.313162201001773,
      0.603696760130086,
      0.656547818145322,
      0.166746143656118,
      0.303923737446697,
      0.698124001438033,
      0.900878571698593,
      0.908712991718585,
      0.728502681301385,
      0.307194805852032,
      0.667462765552063,
      0.207480940072685,
      0.222753939338292,
      0.0850530530751522,
      0.164273398881727,
      0.316037267144977,
      0.195242246013122,
      0.168350823078208,
      0.0483941823524477,
      0.0607422904182354,
      0.282743666098316,
      0.201468767775007,
      0.223705752307362,
      0.0960760043689738,
      0.280227400053537,
      0.308524098830545,
      0.313217935636661,
      0.187087486042789,
      0.083407114338048,
      0.252944352875429,
      0.348735932089397,
      0.227685151668089,
      0.20483859859408,
      0.0569324460712709,
      0.216946697975819,
      0.235896439984945,
      0.150288820455258,
      0.156719981409758,
      0.0529176030625167,
      0.1616571959621,
      0.234041378682571,
      0.223113736096874,
      0.0885682209517026,
      0.359503401166672,
      0.185178228247707,
      0.121399934286807,
      0.198302721265299,
      0.369016741894845,
      0.686011947486692,
      0.731322378618568,
      0.253577482473119,
      0.179211091224992,
      0.208234663269975,
      0.0734781168243748,
      0.322961961459425,
      0.221770462390256,
      0.201319108288232,
      0.103208258852092,
      0.0456394595143423,
      0.296183456173071,
      0.228535365968398,
      0.208745000885386,
      0.155144263602743,
      0.111320986501659,
      0.347364539047055,
      0.40501204019398,
      0.212279370581955,
      0.0903386481733975,
      0.0905243297843971,
      0.299287326160243,
      0.796411952876093,
      0.999848918799355,
      0.97743331639923,
      0.879650721235051,
      0.623374719706397,
      0.212296675912023,
      0.194906489200283,
      0.432313048139547,
      0.591791132952864,
      0.491776585283351,
      0.854454899042979,
      1,
      0.312382093822618,
      0.50781434832241,
      0.447355072146471,
      0.60385695925231,
      0.340173922342643,
      0.329076757203235,
      0.456884599098094,
      0.371171576317629,
      0.209595359417354,
      0.264498196944146,
      0.060518926780512,
      0.36616906392112,
      0.277781194879155,
      0.189247752222344,
      0.139965972556612,
      0.0390181727261437,
      0.192629041915744,
      0.267271355641961,
      0.199609029311837,
      0.20725159254613,
      0.0923551825135501,
      0.511687055436846,
      0.487711824961943,
      0.276583458218248,
      0.164410657751176,
      0.121577425192233,
      0.375602820136036,
      0.280906707792064,
      0.260827324934931,
      0.191404109699614,
      0.0541880536351552,
      0.448291477775045,
      0.196328095253372,
      0.146593508026228,
      0.114297782500991,
      0.0842755418274971,
      0.243330222322638,
      0.2324361209413,
      0.190878127195524,
      0.0827283036035279,
      0.406372568346395,
      0.158284172225764,
      0.166588381286559,
      0.287605029952889,
      0.268633404351414,
      0.882243954986992,
      0.666438253204449,
      0.229941108746977,
      0.23579933321867,
      0.178438603982903,
      0.328900983177505,
      0.35292601986427,
      0.203532963268694,
      0.175479712274772,
      0.0558729766518846,
      0.0979143093852322,
      0.320969557593421,
      0.222296260537108,
      0.259757614913009,
      0.124632506071901,
      0.27507876619215,
      0.461516909834763,
      0.515664289359346,
      0.269148524658544,
      0.0867775948605184,
      0.211239660652017,
      0.628835517042668,
      0.939058221785115,
      0.614620203088748,
      0.820534990786502,
      0.667446025495304,
      0.510062041078284,
      0.197878876370906,
      0.432982613962234,
      0.225532272843721,
      0.32517733447396,
      0.383183362048901,
      0.599925555786803,
      0.416773828366241,
      0.114501914966892,
      0.766564198050596,
      0.569583152592962,
      0.975846109249879,
      0.82432845362126,
      0.59073187277713,
      0.690689023366451,
      0.312038965472838,
      0.175117634074584,
      0.190037374798732,
      0.0718623116117459,
      0.324897840018056,
      0.223977604587767,
      0.196776993653334,
      0.10368224622708,
      0.0523809152733883,
      0.208863109875627,
      0.240304432164892,
      0.196498721951812,
      0.170790507158827,
      0.076524809983072,
      0.244114790446087,
      0.369910313713568,
      0.223884370834292,
      0.117551665987629,
      0.0960377719136583,
      0.368925804136907,
      0.249444958804552,
      0.210951646950085,
      0.0758724318182757,
      0.141677980341553,
      0.299706694308188,
      0.159568336659018,
      0.140299461163794,
      0.0421985988172646,
      0.0972240131857897,
      0.270157854397705,
      0.239791592426758,
      0.134622901444071,
      0.146356100693428,
      0.310658140028967,
      0.0903304567662756,
      0.147590937710308,
      0.203023618953431,
      0.226651970753812,
      0.354376146993569,
      0.510176243962245,
      0.743135908256209,
      0.670205963563491,
      0.464807068224868,
      0.554454490722415,
      0.415147852474815,
      0.141492111157066,
      0.202403320383451,
      0.653919686814852,
      0.3903557330358,
      0.463063594563731,
      0.45411083665705,
      0.71302307364662,
      0.764327796063029,
      0.478026143010313,
      0.598603371477729,
      0.900628598616847,
      0.978117626558381,
      0.0872074259180485,
      0.442574544919627,
      0.6034449420269,
      0.619168701225238,
      0.710539622506529,
      0.290584416261959,
      0.807366395515723,
      0.27319940218615,
      0.198245471545951,
      0.270047445224093,
      0.770678823628477,
      0.347408292500415,
      0.461458413157119,
      0.574326825075902,
      0.622745398844231,
      0.59865623930167,
      0.529587497233683,
      0.513912420468174,
      0.540826119974417,
      0.535133082587681,
      0.539654684112026,
      0.628433461729939,
      0.508805010247889,
      0.335257474850812,
      0.245111555122556,
      0.329200020504546,
      0.509634171301152,
      0.499684231355079,
      0.317632602761386,
      0.114563840551828,
      0.125823121336196,
      0.438373793203886,
      0.439833504370523,
      0.216298587300837,
      0.417330110654201,
      0.0981923116078484,
      0.513695093167137,
      0.190726882842225,
      0.294588206639837,
      0.340761617617186,
      0.226464539664238,
      0.456757137601364,
      0.402147546963746,
      0.267910586778238,
      0.13194638696789,
      0.425146148039854,
      0.175066128711507,
      0.218428319278122,
      0.292442875793476,
      0.162065189855484,
      0.24016777393285,
      0.604963818239142,
      0.468832394957836,
      0.186741434790923,
      0.47525100472029,
      0.195396240201652,
      0.259727017514106,
      0.167056968715677,
      0.229819977405859,
      0.370401007153174,
      0.374991677013553,
      0.179986102096147,
      0.231899108936109,
      0.114716162981541,
      0.19494754775032,
      0.536301822636474,
      0.2624472108788,
      0.268393604588233,
      0.301078271620758,
      0.255367318850461,
      0.321061883359064,
      0.398735201269387,
      0.220984069786884,
      0.132046270739942,
      0.302573302630081,
      0.308215998134861,
      0.391708149403622,
      0.246374215227335,
      0.138229673107498,
      0.356948991887875,
      0.654395927234072,
      0.426615513996393,
      0.227781519416238,
      0.149350128248594,
      0.261388742372982,
      0.220840357718262,
      0.23102611285437,
      0.325500377075585,
      0.273122251497171,
      0.393471640478285,
      0.292229952795111,
      0.390833030938083,
      0.175687431648183,
      0.236319698017561,
      0.298301736597808,
      0.203988294660173,
      0.267530588366299,
      0.195881137244395,
      0.229391918447433,
      0.139756277146664,
      0.261643102682256,
      0.312468758956659,
      0.228507427104739,
      0.151901430816447,
      0.173760154185438,
      0.0421407039053199,
      0.168269742025878,
      0.202035304028935,
      0.179975562188898,
      0.0993678989232642,
      0.028800846698657,
      0.274725840620443,
      0.277665398507299,
      0.224769569321253,
      0.206849664033474,
      0.127999131469988,
      0.161637294545877,
      0.416400662973263,
      0.265872263028976,
      0.134102707729785,
      0.121040536143906,
      0.239503411815907,
      0.185489166350462,
      0.1869812977688,
      0.0744749657246687,
      0.0805795653350728,
      0.196046714797529,
      0.16572448819342,
      0.154097888884249,
      0.0486721741016173,
      0.0638426616679561,
      0.255659245178854,
      0.221569258450339,
      0.101619885593534,
      0.158803518047735,
      0.393409687001567,
      0.09273575096933,
      0.097870616457757,
      0.173168050729342,
      0.184879457306737,
      0.328741356119103,
      0.305313423615639,
      0.147442652853284,
      0.192825244430078,
      0.0401659589017503,
      0.103441450810877,
      0.238643487207897,
      0.181300538335932,
      0.13515793482857,
      0.0233964085956723,
      0.130472821187768,
      0.363384727266189,
      0.205128078920868,
      0.264559262968571,
      0.111233697760955,
      0.216924841081649,
      0.333619361857263,
      0.322449862718446,
      0.193231852146084,
      0.0688820080570967,
      0.193327697914553,
      0.250540828546953,
      0.196492843025217,
      0.0523122200338091,
      0.284339096574297,
      0.463543555954572,
      0.186469809082205,
      0.185823354124524,
      0.118569738026191,
      0.314745125105551,
      0.258959465070771,
      0.214711901778282,
      0.169895049750922,
      0.233774477563792,
      0.252705123294546,
      0.216294855267164,
      0.249734803764645,
      0.306716423715322,
      0.166365942988907,
      0.347580898372888,
      0.35273018410951,
      0.190897870645571,
      0.162029513578141,
      0.133253077538032,
      0.0765193894851181,
      0.269051660156295,
      0.188801212197078,
      0.15125055300994,
      0.0440050503841875,
      0.0588183534932296,
      0.395623538556733,
      0.233183228367924,
      0.250544300651512,
      0.141984553155537,
      0.144858797451855,
      0.194666683731673,
      0.447497320712973,
      0.23680166317483,
      0.102057277341331,
      0.167920659193508,
      0.331602011103797,
      0.17815438882575,
      0.176270994144675,
      0.0440881205125212,
      0.12196405777002,
      0.233014175663727,
      0.148752818130407,
      0.146047232187483,
      0.0273171788811304,
      0.176683660407061,
      0.310736934672061,
      0.238575499898934,
      0.0628109254737455,
      0.274103179241294,
      0.311195708994091,
      0.095578757014921,
      0.152063084645096,
      0.22988670741796,
      0.255818846298223,
      0.370780933747784,
      0.17109919494934,
      0.167152606971874,
      0.336561693714716,
      0.382470874406231,
      0.341031802911139,
      0.275335585693098,
      0.365514907072909,
      0.194503367753537,
      0.428611382288967,
      0.301556306998295,
      0.201067623516986,
      0.233395520734496,
      0.32369044534489,
      0.364887647415902,
      0.276044430110335,
      0.254280283353984,
      0.196051779739474,
      0.619225953341336,
      0.473118917004191,
      0.348512277778009,
      0.178450011482289,
      0.224638167766472,
      0.316676409234038,
      0.164980918659821,
      0.265724146175224,
      0.285385608651063,
      0.355032927780588,
      0.397115273519073,
      0.245859944264887,
      0.306977453040246,
      0.131461107544548,
      0.433103742982697,
      0.197132594358529,
      0.254822054121736,
      0.169294559502381,
      0.221648133781111,
      0.159274109373463,
      0.303574228873845,
      0.249538262765001,
      0.301521602356204,
      0.166510454265748,
      0.183603325781978,
      0.0552389123681188,
      0.0918259674956489,
      0.240829042883779,
      0.17959371125456,
      0.148809721583746,
      0.0249567074946914,
      0.0803825316832114,
      0.391236584443161,
      0.216780490630164,
      0.255017529416661,
      0.115011769526441,
      0.146488454906602,
      0.349907992862022,
      0.364173626585721,
      0.207266685701223,
      0.103279031922261,
      0.121651098206206,
      0.270178651938988,
      0.18448612258121,
      0.163935105522837,
      0.0311685898944634,
      0.104204684387262,
      0.211347344879871,
      0.141250176134174,
      0.144949579945123,
      0.0250385202569449,
      0.148990875841796,
      0.24559202926109,
      0.224287100599875,
      0.0478163734476032,
      0.401693451459713,
      0.207834027091046,
      0.101683569597562,
      0.169158843851883,
      0.209593361281682,
      0.296611072698527,
      0.496499164895131,
      0.206195128654807,
      0.148314431875627,
      0.140827988956159,
      0.0621122164307498,
      0.192612806215263,
      0.200645887134756,
      0.172302519837176,
      0.0694550040630237,
      0.0391683565787155,
      0.327382983887134,
      0.251469675268582,
      0.239608776120844,
      0.170809072511237,
      0.118423861679552,
      0.203827511956615,
      0.446091965312866,
      0.237290111630883,
      0.109099438566971,
      0.129423387200709,
      0.197387140041281,
      0.226358306064777,
      0.126491285568443,
      0.135108209548992,
      0.41565900231786,
      0.339805080565702,
      0.171219542317295,
      0.144655042077793,
      0.216822123886286,
      0.334390699493699,
      0.22714682069179,
      0.183646293350242,
      0.18270689892363,
      0.200476093308515,
      0.30192849668801,
      0.225917414192297,
      0.304336000068817,
      0.188934664871143,
      0.219866303499013,
      0.401263898838438,
      0.286657835379435,
      0.15314985125278,
      0.195426184992423,
      0.0415462853993452,
      0.183524126067175,
      0.229398256727723,
      0.171371613549559,
      0.121604029776023,
      0.0193504194581729,
      0.230694688404459,
      0.333118074169849,
      0.208744213777109,
      0.238116817530059,
      0.109523529282254,
      0.159301910988593,
      0.3686670982966,
      0.312346288283287,
      0.183255617733787,
      0.115712229001803,
      0.262749636914897,
      0.215772606078818,
      0.19055892092581,
      0.143294212763367,
      0.0417077720707468,
      0.2074140504137,
      0.188837887872413,
      0.144624280100927,
      0.105471348800821,
      0.0838803253300542,
      0.281001081463984,
      0.220863242549644,
      0.184003100969368,
      0.0676693200951151,
      0.454833267839021,
      0.132067489337658,
      0.0968431941452931,
      0.19953110331075,
      0.256124522247428,
      0.33302393973159,
      0.376769035493234,
      0.169341876596914,
      0.172383267219728,
      0.0979679312434612,
      0.122472586311335,
      0.308241538720698,
      0.195220350881235,
      0.165390468386367,
      0.0508387904975674,
      0.117756346210645,
      0.414900685695108,
      0.216859002383487,
      0.265993810324951,
      0.135525323306223,
      0.172727868814777,
      0.252454957989361,
      0.427236910424423,
      0.230408627267828,
      0.103133770194806,
      0.207637569216636,
      0.233076331249105,
      0.167832012084619,
      0.268236925327481,
      0.223909176524973,
      0.209029943138966,
      0.294030888633479,
      0.261746376039295,
      0.391732848329456,
      0.29523379972972,
      0.387478417475992,
      0.187506163375369,
      0.237117219978184,
      0.297305230519355,
      0.202624643553294,
      0.260939198758401,
      0.203521591294827,
      0.224151919664688,
      0.0629971061425759,
      0.140983325285611,
      0.312040611101244,
      0.221803206015142,
      0.146188058751995,
      0.159761099641977,
      0.0546718976358306,
      0.199553287970436,
      0.202453695077448,
      0.180808029450518,
      0.0894350593693148,
      0.0426597794409886,
      0.28935721293941,
      0.276656173649819,
      0.225946645171773,
      0.20141122762755,
      0.132477042000307,
      0.121249549256841,
      0.424299938575318,
      0.264525354628727,
      0.138794398485781,
      0.118250412809396,
      0.246190330422417,
      0.192332703956622,
      0.178367985519087,
      0.058375948569894,
      0.0855241492032014,
      0.214626979653567,
      0.158024203325007,
      0.146340916375649,
      0.0424544122597919,
      0.0756603833081384,
      0.267195718122854,
      0.230258071110846,
      0.101864041082091,
      0.201896366507308,
      0.386629455395323,
      0.0963059529576974,
      0.110512181038911,
      0.125428180897166,
      0.126987301755115,
      0.354341643761921,
      0.262542617011622,
      0.16869577746289,
      0.290838338551751,
      0.350186155399279,
      0.329075600993891,
      0.122526529512225,
      0.145602416032076,
      0.145621152117726,
      0.185624097737292,
      0.290570288876146,
      0.328410906827585,
      0.217033666271887,
      0.185668630952449,
      0.513826489223731,
      0.379614676659675,
      0.31320172141011,
      0.314723463354643,
      0.590207521922876,
      0.105255746983178,
      0.313430516520719,
      0.191278876890095,
      0.199277159128401,
      0.264807259211104,
      0.331181068502819,
      0.319798185062829,
      0.105850280339938,
      0.177107549405517,
      0.111997124347623,
      0.241226425509796,
      0.302753830771648,
      0.199334314228069,
      0.258071178737959,
      0.321593675227063,
      0.367210446332779,
      0.149600201597242,
      0.195754832354495,
      0.0334429710863628,
      0.0297938190203953,
      0.117632720126816,
      0.632274609839462,
      0.696983943621314,
      0.818016655447488,
      0.0872185318210957,
      0.148135602850098,
      0.194053570988826,
      0.243773199019086,
      0.511900070100258,
      0.791384521200101,
      0.956210943956914,
      0.40577549561526,
      0.454529737557131,
      0.480181599529508,
      0.182572110585006,
      0.850284339725083,
      0.316001923271085,
      0.0673757200126218,
      0.436909118369672,
      0.275396928656393,
      0.76356855385531,
      0.302344363625598,
      0.382067749219699,
      0.534271196713144,
      0.134647030207826,
      0.118368097402863,
      0.673707537999476,
      0.451685493673604,
      0.543198730930029,
      0.991591292846923,
      0.731078492236241,
      0.350247276911927,
      0.786648903935317,
      0.296267989598855,
      0.448351687102333,
      0.695967079490608,
      0.105516405787322,
      0.287640586383827,
      0.303526081494181,
      0.486068240959849,
      0.764462649440755,
      0.148036083398845,
      0.629450265946601,
      0.0847542245290342,
      0.176625359996752,
      0.307649700146189,
      0.238734674888343,
      0.286947030829092,
      0.882029855114043,
      0.972218765733153,
      0.980353086742267,
      0.755810976424154,
      0.990629508489233,
      0.775818477231861,
      0.6707453348721,
      0.490777183411949,
      0.752761080799495,
      0.978801133330589,
      0.567884575500256,
      0.546195647623892,
      0.354356917548694,
      0.729274589154832,
      0.718255032972384,
      0.133219715512344,
      0.411709596955105,
      0.303119940461807,
      0.357209495022312,
      0.422290568180513,
      0.953939188222775,
      0.712535636184717,
      0.509032730414035,
      0.865848047574467,
      0.749642953918082,
      0.375622287407988,
      0.378421985454154,
      0.413114606769142,
      0.696529189592221,
      0.840503258074011,
      0.438127591883424,
      0.473429324538334,
      0.361115309264411,
      0.696772262816447,
      0.204158305301975,
      0.130342514014704,
      0.148068344708715,
      0.0825155244039179,
      0.205783350889926,
      0.270312547191259,
      0.243849886963115,
      0.128019848962062,
      0.0604110308992123,
      0.611731452933839,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.796589404155463,
      0.194986308306923,
      0.167391828539377,
      0.0686408564888596,
      0.146566069565389,
      0.238864440850591,
      0.216639391587631,
      0.180894584323779,
      0.0965763247279346,
      0.177693544086211,
      0.335330414996092,
      0.236256852478592,
      0.16709617523218,
      0.404152098104137,
      1,
      1,
      1,
      1,
      0.999715674292362,
      0.80057744837424,
      0.368393419499476,
      0.137702224626055,
      0.165302020477505,
      0.0891566281872632,
      0.127330516103353,
      0.317537916118465,
      0.236233303483444,
      0.179678561516404,
      0.0609602327705812,
      0.255594327725967,
      0.999332111025814,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.648278053746185,
      0.217834260322683,
      0.107378151525269,
      0.222826631628506,
      0.526407864281031,
      0.554819651302124,
      0.956501565727085,
      0.999905724957409,
      0.832705916268506,
      0.551555947300745,
      0.849432574192891,
      0.46640997747683,
      0.363551070622036,
      0.476148256942097,
      0.716237450970558,
      0.842723595903268,
      0.725583223724802,
      0.688947017000404,
      0.563909137520414,
      0.743298082536996,
      0.174409139962377,
      0.137149877700748,
      0.0935098736697129,
      0.0726519884666272,
      0.332476776422021,
      0.275225726796233,
      0.238274166783836,
      0.0876057973869416,
      0.0622850490619829,
      0.862573537444938,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.664263422633837,
      0.177376540664333,
      0.154416892026944,
      0.0522511474069725,
      0.20150900326672,
      0.325773834355866,
      0.210183573742176,
      0.206153938882295,
      0.0611669746970158,
      0.268588661247399,
      0.385433636789156,
      0.233977178650201,
      0.154410298087617,
      0.503459406305707,
      1,
      1,
      1,
      1,
      0.730902224682607,
      0.850362335320678,
      0.538877482987097,
      0.1816689324828,
      0.301774575442529,
      0.143942693341259,
      0.441190837016304,
      0.519635173369634,
      0.990673662134555,
      0.978944464983265,
      0.969319654295269,
      0.744347547353729,
      0.878562216892419,
      0.669317016521593,
      0.697184913077957,
      0.460072016798373,
      0.959330614958261,
      0.875111312407435,
      0.441083800668715,
      0.578808948764892,
      0.451219315755847,
      0.930107063449347,
      0.271567209126422,
      0.294508594791676,
      0.485677574269957,
      0.175145231532933,
      0.414170643574156,
      0.715364325900774,
      0.881421218891437,
      0.589748350061701,
      0.654548504730002,
      0.820691612804039,
      0.55442396506132,
      0.424042511409346,
      0.388070291474287,
      0.584664203837414,
      0.767860372507199,
      0.58885265533392,
      0.423188845717885,
      0.524963301529071,
      0.565934805964272,
      0.427317948464452,
      0.144507716258248,
      0.160271312745616,
      0.0886794491672039,
      0.125519169233476,
      0.318653047898068,
      0.252026953743544,
      0.191353787140476,
      0.0757814084037767,
      0.156086437542352,
      0.973475794498544,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.395361848376558,
      0.174604789220879,
      0.143384391879201,
      0.0903983018121881,
      0.124752166419162,
      0.26402039432681,
      0.179465523698089,
      0.176661622752497,
      0.107738033722606,
      0.279267126937541,
      0.263259235096445,
      0.226493044479124,
      0.131499047336884,
      0.778494862758365,
      1,
      1,
      1,
      0.972919128046618,
      0.794108417742531,
      0.483246620905738,
      0.18342096222698,
      0.13451012791791,
      0.131855369450596,
      0.154989785999662,
      0.243694513845727,
      0.272671854778903,
      0.227349034096812,
      0.109846084355117,
      0.0910932789900626,
      0.721565556113349,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.947083814351329,
      0.307465886096775,
      0.185118015263242,
      0.159908255672483,
      0.301574504804572,
      0.585454296811958,
      0.754064148924048,
      1,
      0.980839354536005,
      0.668716806091902,
      0.745397592145365,
      0.597678420270966,
      0.435826339903756,
      0.319903591217555,
      0.689178686525464,
      0.717807252450485,
      0.728794374896318,
      0.721294444155665,
      0.487865537617623,
      0.859090985569823,
      0.394257937320692,
      0.130975915153851,
      0.155627105076435,
      0.0210112613456522,
      0.201543253838427,
      0.308308453154373,
      0.259583099907321,
      0.191726636096975,
      0.0333349351938219,
      0.418541064267264,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.966953262448821,
      0.258851157637741,
      0.175071228240335,
      0.114177789615,
      0.109413795641588,
      0.282534730861206,
      0.247139018862222,
      0.207653952703971,
      0.163080118083186,
      0.0806200185385711,
      0.45103771530075,
      0.238743098194486,
      0.197680605053563,
      0.166473627975814,
      0.925468874606618,
      1,
      1,
      1,
      0.890554125232376,
      0.763554830130844,
      0.654156266186812,
      0.152365957810255,
      0.162645882325727,
      0.101307285315214,
      0.123822879321135,
      0.444791053605804,
      0.283844796667337,
      0.234414116490805,
      0.0915333604056924,
      0.164374135439545,
      0.959866932947406,
      1,
      1,
      1,
      1,
      0.996739989834738,
      1,
      1,
      1,
      1,
      0.799621175081685,
      0.146939578117785,
      0.416553461775089,
      0.298939962049189,
      0.347505725853367,
      0.405637295369115,
      0.940149702581571,
      0.717688582104105,
      0.514045098067555,
      0.82243334157989,
      0.752511939124018,
      0.370485244872537,
      0.373597360625674,
      0.415624078837829,
      0.681708227361361,
      0.841651307513898,
      0.433276087630189,
      0.601677507333813,
      0.381590995314172,
      0.247894607582487,
      0.198921488843396,
      0.132719028551805,
      0.144099084408174,
      0.0718470962745201,
      0.3075819773434,
      0.284924158532078,
      0.243822153654513,
      0.133564481936884,
      0.0483582225860079,
      0.624290143129543,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.778894725004476,
      0.197141460132763,
      0.170768238876862,
      0.055060229229818,
      0.10963546925053,
      0.258733952851195,
      0.219506799193336,
      0.181943040098818,
      0.0930390708441748,
      0.125563145483421,
      0.3485849286458,
      0.254008866066944,
      0.126179499003001,
      0.28554706768993,
      1,
      1,
      1,
      1,
      0.808848939794903,
      0.790135687171079,
      0.548558781652852,
      0.166623841320837,
      0.180027244401519,
      0.150124937913071,
      0.278254592855046,
      0.181195132267285,
      0.421936503076247,
      0.692355637691086,
      0.710004328899055,
      0.481059784393607,
      0.822956429370417,
      0.807284019096397,
      0.826400437366663,
      0.492151862519387,
      0.934437573812739,
      0.913662735349134,
      0.830120951560792,
      0.464279962556582,
      0.145391120272026,
      0.904249564124542,
      0.36099403013261,
      0.177916939397714,
      0.145733369671262,
      0.263420714465605,
      0.299247598592848,
      0.301158422850664,
      0.512398319010433,
      0.759750996116711,
      0.364970416850972,
      0.674614092929324,
      0.84328832793316,
      0.909186300790604,
      0.667107699508935,
      0.530984860725592,
      0.797440184091475,
      0.840121491681268,
      0.927192779735988,
      0.886001128303834,
      0.628607014296715,
      0.646741822499509,
      0.50462461970328,
      0.347271351664785,
      0.0591771249043843,
      0.0827746459603414,
      0.157607602025553,
      0.288897140558223,
      0.40735337571132,
      0.530864109791582,
      0.574736116061331,
      0.448399092758802,
      0.186675697600593,
      0.542269149128827,
      0.162982396091948,
      0.543642100061891,
      0.272568547024076,
      0.0435950241578607,
      0.398295496315963,
      0.129925207018546,
      0.545919247695013,
      0.164997414702151,
      0.103666082525685,
      0.15507341732952,
      0.134860899117789,
      0.142407771563825,
      0.287656311600746,
      0.31650920841502,
      0.401826946868999,
      0.35792667865009,
      0.492373948503455,
      0.298566015541462,
      0.304567348222325,
      0.561728941106881,
      0.239234812738877,
      0.464931916938042,
      0.101988712400635,
      0.247340012925672,
      0.467549941629917,
      0.150087529335646,
      0.54806481759738,
      0.0994585231983989,
      0.163247472543206,
      0.0750502512764396,
      0.146891788192468,
      0.102787546174559,
      0.216420156895909,
      0.226183972204006,
      0.208876137592579,
      0.220262883101993,
      0.418198151438427,
      0.322696337346274,
      0.190485177165755,
      0.0859461092334084,
      0.165115269762755,
      0.115152933656887,
      0.328243339560096,
      0.187286159831417,
      0.098401895264405,
      0.117752193012056,
      0.153786483474317,
      0.30230623329132,
      0.132881032784563,
      0.114709185598679,
      0.271112304938583,
      0.351198575896835,
      0.264954949352307,
      0.279333895004027,
      0.203527583164706,
      0.230931329872577,
      0.223943130598257,
      0.328540529510957,
      0.257440403321278,
      0.123858772556404,
      0.15107262929114,
      0.112778226653598,
      0.247526420571955,
      0.144983085605852,
      0.128342299130337,
      0.163975113843448,
      0.185227419988576,
      0.270650282434757,
      0.181621214637178,
      0.111046177107152,
      0.127292618748014,
      0.0403741266908378,
      0.284611713794426,
      0.296710745674161,
      0.255959073066138,
      0.140520955515316,
      0.0749115389264053,
      0.507904450163147,
      0.578517405257102,
      0.539663622699838,
      0.600405768800832,
      0.131031040048365,
      0.151076068726584,
      0.652565668637381,
      0.589513097833454,
      0.438830849851,
      0.131203053638902,
      0.171296272468222,
      0.148345755539996,
      0.139869698403686,
      0.0498180072453339,
      0.0727165492918848,
      0.227176583773737,
      0.189822162561161,
      0.167480822445047,
      0.0553932396132616,
      0.0891324525415507,
      0.277024795390975,
      0.23197471778103,
      0.133719401127586,
      0.203237223421311,
      0.733714201807827,
      0.243015280284255,
      0.110996030503511,
      0.202644903652739,
      0.162303749256292,
      0.275892401441043,
      0.249235635258581,
      0.112933361648609,
      0.137699988183219,
      0.0282656129029712,
      0.134916797307702,
      0.390057854298774,
      0.25955226418274,
      0.186412225262149,
      0.0627134021151089,
      0.222689338404744,
      0.722989687373522,
      0.485577733454609,
      0.686020261519303,
      0.225909354219013,
      0.146488965895629,
      0.374331061061438,
      0.667100501290735,
      0.533521942524624,
      0.155522333515945,
      0.164959970603182,
      0.230374203979924,
      0.195607319309734,
      0.0476183045015615,
      0.171309420212377,
      0.247920296135522,
      0.276735174244791,
      0.191455984863102,
      0.110331801165717,
      0.31364064468003,
      0.220185589322272,
      0.275305561607473,
      0.173266649503067,
      0.301896680369861,
      0.204841286488869,
      0.129085889979936,
      0.258667382023137,
      0.39963630005259,
      0.196112689556025,
      0.371110842648899,
      0.32898763311602,
      0.153543251669878,
      0.119290197899108,
      0.0764143545391485,
      0.0720176902791309,
      0.364698489699487,
      0.28696739095107,
      0.238578573183195,
      0.104560248938527,
      0.0851847195305601,
      0.686597186631161,
      0.51864821427107,
      0.60330538243995,
      0.456106167167319,
      0.135698472220173,
      0.216285133655852,
      0.735307088845752,
      0.555741341498956,
      0.334779559817252,
      0.118553868138621,
      0.214170411868303,
      0.137724393923741,
      0.134244798121296,
      0.0326524720922942,
      0.112425471201341,
      0.266732067055185,
      0.16236754850087,
      0.175374943198721,
      0.037570767319639,
      0.134094240976992,
      0.338821781506064,
      0.249683159941832,
      0.0927692563062511,
      0.48939641248666,
      0.638883081247311,
      0.194117746066807,
      0.112767809189359,
      0.224331831480448,
      0.34531757224954,
      0.283387267206463,
      0.207484036823674,
      0.160257453993487,
      0.0937293560245844,
      0.114086029867966,
      0.237584524404797,
      0.301059547390206,
      0.204245157386538,
      0.210831192659125,
      0.434095511636258,
      0.228894453326047,
      0.215249503755849,
      0.198927829550777,
      0.0968257820291701,
      0.287304215520808,
      0.209610182560201,
      0.156024818937161,
      0.138889667842214,
      0.104783111982254,
      0.312841677039736,
      0.147042186123435,
      0.137117415679828,
      0.258923659276527,
      0.39175569197639,
      0.178611018296115,
      0.292129284217288,
      0.220793453030589,
      0.22521176712974,
      0.293705831160946,
      0.260108053291153,
      0.287852821062602,
      0.140199604630544,
      0.188167893061025,
      0.149520762860233,
      0.24777454167495,
      0.130172008931775,
      0.115234076028848,
      0.136489927245937,
      0.196395172754954,
      0.303254436906841,
      0.234830346894673,
      0.124794427197541,
      0.134511773366242,
      0.034551994301083,
      0.0914063010949856,
      0.414881461045743,
      0.2694670787368,
      0.198665044749894,
      0.0602371694973775,
      0.133680267687325,
      0.746196648767494,
      0.487121774079123,
      0.65341945735899,
      0.280177447988629,
      0.135115431457456,
      0.356217997743775,
      0.72826380771754,
      0.540006994547173,
      0.204738826562201,
      0.117819854392777,
      0.205658615774244,
      0.140125018063339,
      0.124377396399716,
      0.0257669061994134,
      0.0945167388298412,
      0.240588678270236,
      0.160356393592789,
      0.154795953176573,
      0.0273162915766904,
      0.181629293316545,
      0.25108589390816,
      0.241167628977152,
      0.0604282067217297,
      0.622584678255274,
      0.49782428087745,
      0.109594456883612,
      0.147137989338113,
      0.177884597473655,
      0.293724784374714,
      0.384156761659055,
      0.160844690567608,
      0.114020233776398,
      0.10705977106691,
      0.06817528589776,
      0.324764590116471,
      0.291335192376967,
      0.243707802754245,
      0.121571478197079,
      0.0810222396234557,
      0.585437676209339,
      0.535994755849029,
      0.569691824930674,
      0.535807853940324,
      0.138308651156402,
      0.196703094313423,
      0.677591865387342,
      0.551748829383946,
      0.375606869091883,
      0.131358018477166,
      0.165543399564603,
      0.242260514080442,
      0.118446561243023,
      0.12461369755044,
      0.220663715216179,
      0.279003398365227,
      0.19574185125527,
      0.154194250387167,
      0.150016486553163,
      0.391399491346965,
      0.214767453373065,
      0.211391594171567,
      0.239994568492293,
      0.201865202351612,
      0.208417937944862,
      0.115206380727331,
      0.424401213075603,
      0.30219601500215,
      0.232774998582937,
      0.427129805582959,
      0.242101336489277,
      0.10949065557382,
      0.130729085379676,
      0.0238772543395753,
      0.206766001705989,
      0.348971381375667,
      0.270729444223238,
      0.19391781999189,
      0.0632014006325026,
      0.331962105292943,
      0.701770655111082,
      0.490186754624539,
      0.68067878221708,
      0.165944257009049,
      0.134399274627019,
      0.538408699525141,
      0.645843826851281,
      0.536970027294586,
      0.12664438276219,
      0.162186800064835,
      0.174525882550104,
      0.148866847277992,
      0.102373957188308,
      0.0588208217731736,
      0.193719455810266,
      0.224081247045901,
      0.173602071529564,
      0.137717637234324,
      0.0626367477294297,
      0.267382373363555,
      0.253691325712225,
      0.200476777339311,
      0.119779833008355,
      0.789508722628881,
      0.37531719156684,
      0.120853511020172,
      0.140242495299305,
      0.399526335713002,
      0.291816858611463,
      0.266499547316737,
      0.134028182172081,
      0.136964640367059,
      0.0903962759747113,
      0.146495813544732,
      0.468170989692766,
      0.279523854899974,
      0.211387365673097,
      0.0823465934282161,
      0.121389499109134,
      0.70882321664739,
      0.503346636937524,
      0.645985417647636,
      0.364174850996471,
      0.137326697988402,
      0.226986050014593,
      0.797867629058248,
      0.560048714610232,
      0.261291304486688,
      0.117123819578382,
      0.164650920215934,
      0.118370461985793,
      0.276182301889789,
      0.347578136922705,
      0.263755469766565,
      0.274653798435231,
      0.202673636411599,
      0.227185002082166,
      0.220833003052813,
      0.336903517559203,
      0.240523364850391,
      0.120810517810679,
      0.153911885257812,
      0.110681073476068,
      0.210859229000059,
      0.119330265546704,
      0.124366325976494,
      0.0435882398170814,
      0.198101117093355,
      0.221086695713409,
      0.184242721103474,
      0.116657232999444,
      0.122430513000877,
      0.0475544671650339,
      0.310978818326222,
      0.299678565364039,
      0.259108803449728,
      0.147150810989557,
      0.0797906431051534,
      0.527185739532232,
      0.570572254373491,
      0.544897004319155,
      0.606300072068137,
      0.134381456014626,
      0.109583973733934,
      0.61560196517262,
      0.592113251990213,
      0.434825567132505,
      0.120858163621409,
      0.169097843121656,
      0.149444747873851,
      0.146934426731133,
      0.0435556702830469,
      0.0994764480175526,
      0.24892310666539,
      0.191188774670235,
      0.169601532076199,
      0.0611676943351728,
      0.118074866420147,
      0.303799877006784,
      0.243439377400099,
      0.126386643010552,
      0.182342518284367,
      0.73570261525056,
      0.238301235077317,
      0.0751284878390368,
      0.102141422208814,
      0.115843662728146,
      0.262868968468335,
      0.257705395878038,
      0.180716930042332,
      0.290395838617874,
      0.269040881720998,
      0.344618836218738,
      0.204191521046942,
      0.222849419876467,
      0.381646850746957,
      0.336700469646622,
      0.410750043505358,
      0.30356324319402,
      0.369478068950803,
      0.432045784036692,
      0.47043133134637,
      0.31245013642118,
      0.179378448289692,
      0.183720092176176,
      0.153128904630958,
      0.104130531266993,
      0.283752622023244,
      0.193987974849116,
      0.166607421867535,
      0.330128594882197,
      0.24192546934327,
      0.321859686020485,
      0.210735565176236,
      0.336287509059916,
      0.242071567265026,
      0.351029641319555,
      0.394674433304209,
      0.236860598311203,
      0.258182197937754,
      0.231655363112412,
      0.267971453490189,
      0.0924768864575737,
      0.127409126412197,
      0.0220619125849721,
      0.0245356263051401,
      0.1188874702845,
      0.690058739498121,
      0.417151504234458,
      0.316012265261166,
      0.50799552470978,
      0.466624614863218,
      0.494982087267869,
      0.534751578063679,
      0.539920533696221,
      0.15333117554938,
      0.10639445950494,
      0.312938874589997,
      0.127031130798457,
      0.451448771514928,
      0.163843989267367,
      0.164165074298064,
      0.563039556365615,
      0.0679917494343542,
      0.461681714510458,
      0.148760331014729,
      0.304679102098883,
      0.252708866087238,
      0.139531947411319,
      0.122472547500853,
      0.184916805503532,
      0.355337920327595,
      0.45560244857636,
      0.412051030635903,
      0.432380103964502,
      0.0706211015382659,
      0.105838087988596,
      0.293280406507006,
      0.106666892841033,
      0.524472550113521,
      0.149746300052958,
      0.421276739829077,
      0.173786315770315,
      0.113416280956048,
      0.447406119142758,
      0.128152498977274,
      0.440333936152258,
      0.130159143521978,
      0.0872028374890913,
      0.381577569754467,
      0.287637528683243,
      0.161087523142176,
      0.338381268102618,
      0.607230190952898,
      0.615628617227628,
      0.423281558952289,
      0.558738814017749,
      0.687118580159611,
      0.496542471647671,
      0.195282007712419,
      0.29374038412834,
      0.376814787311034,
      0.312769293830674,
      0.158966578128052,
      0.109492852773632,
      0.101618258037588,
      0.131027416108995,
      0.276059899447714,
      0.17664287423543,
      0.35905248154382,
      0.477148187493764,
      0.35518742825713,
      0.678547708536098,
      0.710130886660241,
      0.552752911133505,
      0.422943405793733,
      0.273596465463952,
      0.706262193693998,
      0.366664890962832,
      0.188021861906546,
      0.430781081168127,
      0.154736251757889,
      0.22826265062256,
      0.16492090228817,
      0.13963729396377,
      0.172404870694961,
      0.205383476441604,
      0.28871241823472,
      0.214014041728944,
      0.132654700473655,
      0.152454190313527,
      0.094052859848552,
      0.59054695893097,
      1,
      1,
      1,
      1,
      0.903332436165439,
      0.340371104184278,
      0.264391023900777,
      0.250305360455955,
      0.128102982224967,
      0.120635112883955,
      0.507795944957758,
      0.299124797677037,
      0.172911961880175,
      0.0909104823924031,
      0.168105521322852,
      0.179430405211044,
      0.161990765537178,
      0.0882315181950526,
      0.13306941806453,
      0.267879905764113,
      0.171062011464811,
      0.130505305450667,
      0.0428829111235001,
      0.203411864823413,
      0.500606275583937,
      0.326631721686419,
      0.157805805977173,
      0.162215282869052,
      0.433754750270359,
      0.080787973774453,
      0.118452513634902,
      0.175355293505005,
      0.12277158623035,
      0.402829919939263,
      0.272604371452584,
      0.146757138829587,
      0.159487253225903,
      0.0655671819363411,
      0.295456324257088,
      1,
      1,
      1,
      1,
      1,
      0.518212319584779,
      0.248008867533943,
      0.319834489455682,
      0.0799503846259216,
      0.187415775340741,
      0.385528235337943,
      0.35834753672724,
      0.264493516084464,
      0.0412927410156927,
      0.129994225538511,
      0.360314662377881,
      0.543890247133595,
      0.346895897118987,
      0.460279251512316,
      0.496267116632774,
      0.842689245765581,
      0.421500608539932,
      0.266796531607824,
      0.324747808920532,
      0.759406300832654,
      0.458825294770851,
      0.195565355222647,
      0.362598401552234,
      0.178467918526347,
      0.15260077735524,
      0.399140530168923,
      0.966627586532139,
      0.300775733277932,
      0.650206157659486,
      0.361688469882644,
      0.203549236102406,
      0.157114548731067,
      0.13431336320107,
      0.103030606967279,
      0.833666045148445,
      1,
      1,
      1,
      1,
      0.769952624713965,
      0.286545761852559,
      0.268462128222029,
      0.177899703870435,
      0.0871873060553081,
      0.207075555482515,
      0.501418264324938,
      0.259099025331144,
      0.124509718286465,
      0.0859339749355859,
      0.211229884577552,
      0.170426019865084,
      0.157387738024668,
      0.0611462734361473,
      0.185481935977552,
      0.264523855986126,
      0.139113023547217,
      0.123308014604237,
      0.0255297915429714,
      0.298871016020651,
      0.453920861541803,
      0.309109962396509,
      0.09811444632123,
      0.386379791950503,
      0.333347646388946,
      0.087615673950893,
      0.0778355979881663,
      0.0850980797759418,
      0.396690425866285,
      0.292101111698185,
      0.357513143568676,
      0.350075038792741,
      0.164684434749143,
      0.152023381288265,
      0.478833845861425,
      0.713717281170093,
      0.506508266467626,
      0.425864765211858,
      0.532978951315182,
      0.75735270439022,
      0.324567779649289,
      0.275167153794715,
      0.2432740429915,
      0.43654131704781,
      0.228006263921817,
      0.197589291316968,
      0.134127208771718,
      0.0655449937011963,
      0.25856930604508,
      0.143425346355381,
      0.329667396114467,
      0.451281630329592,
      0.421601742386392,
      0.398415046759641,
      0.709563064993653,
      0.716401552008369,
      0.485357562099384,
      0.39151194368327,
      0.438526382764853,
      0.532479362111706,
      0.244392351964447,
      0.307132627234388,
      0.339468709048781,
      0.254159779452546,
      0.131221705042473,
      0.150355235632875,
      0.146362463628421,
      0.21037184567357,
      0.287561027163804,
      0.276262985639282,
      0.158184071594525,
      0.149775564424249,
      0.0712808103237286,
      0.210738138242236,
      0.961890304800982,
      1,
      1,
      1,
      1,
      0.624729142078746,
      0.260347888768614,
      0.289952367175018,
      0.082116880517777,
      0.143727941052534,
      0.386140856726909,
      0.442920264716168,
      0.24685847154669,
      0.0719342119044329,
      0.116566962470379,
      0.224483276780782,
      0.163944810973033,
      0.142918196310031,
      0.0718368436326085,
      0.234394609742335,
      0.216157178170483,
      0.136794466696666,
      0.119650923384048,
      0.0517132435600541,
      0.470659834243632,
      0.317240355151889,
      0.32828252414561,
      0.0897069642504808,
      0.419017017799711,
      0.21932898621097,
      0.0891625916130591,
      0.243936215759541,
      0.158232436705978,
      0.406509908951954,
      0.385080613002373,
      0.18875114379962,
      0.133978352227195,
      0.146758684768132,
      0.106001938032572,
      0.698232050035943,
      1,
      1,
      1,
      1,
      0.844673781457696,
      0.321934149354213,
      0.266166587090864,
      0.216655611798101,
      0.110691750391676,
      0.299758062511436,
      0.493262199032147,
      0.263802949040744,
      0.16718569442178,
      0.0825326079065131,
      0.103312097778543,
      0.559448189095628,
      0.501374664966984,
      0.389285325702869,
      0.462252626179808,
      0.66347124918974,
      0.67730471909295,
      0.324626155481616,
      0.236682468529521,
      0.671339996980542,
      0.535557370855534,
      0.337656714575154,
      0.22406963070947,
      0.298900083037013,
      0.195959179922485,
      0.142058711763471,
      0.780496857014777,
      0.679718995627867,
      0.661317888727646,
      0.377716284487674,
      0.269386231665986,
      0.160031832818639,
      0.191871716448877,
      0.0714566312208707,
      0.406018498453821,
      1,
      1,
      1,
      1,
      0.975714880956958,
      0.446443434726143,
      0.227794511612971,
      0.298501067308886,
      0.0740236863238008,
      0.115296777981456,
      0.439968081628211,
      0.325424027516238,
      0.246366750432252,
      0.0448163934568671,
      0.144938600065349,
      0.196860939766719,
      0.1699667831146,
      0.130863351663538,
      0.0769232523342145,
      0.280750229902685,
      0.19060210100612,
      0.130049773134825,
      0.0879414677099027,
      0.106087781341172,
      0.496093690012807,
      0.297363708559511,
      0.23438059203964,
      0.156857767426987,
      0.4965521628463,
      0.136238982367728,
      0.0820606425441717,
      0.0927290416848137,
      0.355526735984939,
      0.261955400555261,
      0.295794187822283,
      0.154836955265894,
      0.142760630099689,
      0.104136393354298,
      0.270596032368121,
      0.928329759321322,
      1,
      1,
      1,
      1,
      0.657212472522925,
      0.268332715884802,
      0.303801094992641,
      0.134476623859663,
      0.0956932173778906,
      0.18736418085937,
      0.475180010256774,
      0.26350944208967,
      0.0753822217171727,
      0.0753044624888803,
      0.187649207090114,
      0.3622505460071,
      0.488444626328047,
      0.359788329283349,
      0.703265797072325,
      0.714055741746955,
      0.555511381848929,
      0.428549329582595,
      0.273281840288252,
      0.723877963901422,
      0.371492578100699,
      0.184594656879541,
      0.433453217277713,
      0.152178446652599,
      0.210783944881055,
      0.142885502567297,
      0.143113380844949,
      0.0769498903856153,
      0.209271033521683,
      0.23479469346825,
      0.205914337621084,
      0.142550022629518,
      0.149938797041377,
      0.0514614742214007,
      0.612512812634276,
      1,
      1,
      1,
      1,
      0.917547846110026,
      0.325490672517034,
      0.250896937882574,
      0.238637119796956,
      0.0626092333086217,
      0.112889873663668,
      0.420381087181758,
      0.282783633276534,
      0.159011007139871,
      0.0549983588854725,
      0.158958351990845,
      0.180399728501573,
      0.16183822066985,
      0.0749723430220617,
      0.107130436001973,
      0.288040315304094,
      0.167611594473045,
      0.126590862410851,
      0.0499688537214644,
      0.200609993728128,
      0.535387690091474,
      0.305875914863931,
      0.155742969977748,
      0.153612017948223,
      0.412184243535599,
      0.0768656772546654,
      0.0320990706251009,
      0.0741560231679189,
      0.0846821261487476,
      0.236939368174769,
      0.281389480677757,
      0.55905868636975,
      0.80190345459164,
      0.67872471869828,
      0.695765903808586,
      0.947964983200866,
      0.996363624184025,
      0.657806652939309,
      0.23549906532739,
      0.764944816696425,
      0.631713300860063,
      0.349198448233775,
      0.200776759933505,
      0.204759778122848,
      0.273975590786655,
      0.201678957630347,
      0.203450355865852,
      0.11383182563923,
      0.111855783577864,
      0.241546969834103,
      0.449424629029461,
      0.720391302100769,
      0.753629413067563,
      0.682092238197424,
      0.7218756252242,
      0.738866731439395,
      0.824588229391001,
      0.534141166647127,
      0.343605271750572,
      0.893127409549707,
      0.534915661208575,
      0.207662711852606,
      0.158713160261604,
      0.275531860393062,
      0.116741426498139,
      0.141335799881238,
      0.0287303975305634,
      0.0257992943064808,
      0.100149821793763,
      0.540976419879605,
      0.47302402271506,
      0.277030182225609,
      0.169754335180379,
      0.274328557044757,
      0.434436253051205,
      0.252752519015015,
      0.388468740590448,
      0.167208547113113,
      0.054426596120823,
      0.26012914294191,
      0.0766085991686283,
      0.138200257676507,
      0.079718226964714,
      0.0481537091075976,
      0.19654967766988,
      0.0263755341579117,
      0.112822165154162,
      0.0730876656919364,
      0.108993890725323,
      0.0827342861562643,
      0.0891962301456467,
      0.0836690697042624,
      0.0744067225190012,
      0.224825705613918,
      0.233329641674588,
      0.264213239236424,
      0.394499380893716,
      0.0576897090332021,
      0.0632805504714977,
      0.250383662951423,
      0.0787511300421803,
      0.113001156445818,
      0.0772633871089771,
      0.0743542961442653,
      0.0447846834833713,
      0.0468115529408941,
      0.130824646398117,
      0.066991687806247,
      0.19506586256923,
      0.0461858836751559,
      0.0455757391183287,
      0.0905554729499868,
      0.108900911841614,
      0.0394541504084203,
      0.344124848960327,
      0.323397762985715,
      0.110266711296016,
      0.217334343961973,
      0.224147440250555,
      0.275796645381643,
      0.274901698190233,
      0.56922763598665,
      0.535556071963227,
      0.71780015119883,
      0.623169964526196,
      0.398495361054415,
      0.416527758751964,
      0.198523988630896,
      0.148768584314249,
      0.465635246348829,
      0.214254097655309,
      0.0983897549884838,
      0.121708263057618,
      0.17341405023904,
      0.221238349866829,
      0.279915293319505,
      0.166110767075813,
      0.139615557260387,
      0.165283344541577,
      0.236587855358701,
      0.460761066291695,
      0.99358466774534,
      0.629772751140463,
      0.200873150055253,
      0.471812309791901,
      0.364935569169913,
      0.236688798668146,
      0.210922337116277,
      0.238704733616925,
      0.469384752171732,
      0.159026288857203,
      0.107373956168082,
      0.131421567371349,
      0.0472034865530488,
      0.44940670533682,
      0.65907361071305,
      0.565214530771496,
      0.351535532969264,
      0.081606373002234,
      0.237007436573094,
      0.279722932560151,
      0.227309009238347,
      0.193720764806998,
      0.0789746492451954,
      0.283372341920085,
      0.521180517638885,
      0.260109329228623,
      0.120019914549338,
      0.0867019837646124,
      0.262275703574052,
      0.139339851639927,
      0.134431146167908,
      0.0570766008428699,
      0.0652070656179345,
      0.199482192828555,
      0.160050707916026,
      0.153525083235387,
      0.0611175007895324,
      0.071342546856475,
      0.796395767868039,
      1,
      1,
      0.973850815802897,
      0.408941012214975,
      0.10420030575749,
      0.142957140572826,
      0.178907639026218,
      0.177259040055897,
      0.451939689932949,
      0.274221422996851,
      0.105034054549227,
      0.134135862582334,
      0.0331601548913416,
      0.157517972506495,
      0.790380158516798,
      0.598221994198055,
      0.451566323077057,
      0.121631302804018,
      0.17882724332087,
      0.332190204913085,
      0.210579436471646,
      0.270055810293903,
      0.0680231249560478,
      0.244614904155711,
      0.375449993055373,
      0.322690471755629,
      0.209086043137262,
      0.0217311895384425,
      0.216447283090444,
      0.165673893611678,
      0.174522226262966,
      0.0545182090159897,
      0.226429470250471,
      0.188772494784484,
      0.347441456922414,
      0.128854873035738,
      0.0684402843224082,
      0.163036137616845,
      0.155223556109816,
      0.426428716993423,
      0.493695468967846,
      0.247655052810171,
      0.154098212478743,
      0.470305814766919,
      0.528257542102339,
      0.416747547244989,
      0.362268319254373,
      0.356078665093502,
      0.549151817428356,
      0.139644805259671,
      0.115516867253553,
      0.0995386780105117,
      0.0667489541234916,
      0.631417617290214,
      0.633666632677232,
      0.512662389512818,
      0.244994300028925,
      0.0851987960344157,
      0.297299790294854,
      0.241882346482563,
      0.235007103327116,
      0.10322435178197,
      0.138489909417942,
      0.235836508595308,
      0.445388641421159,
      0.226610059716243,
      0.06104747004469,
      0.1419360056212,
      0.230840464748398,
      0.129064511955692,
      0.132488771671687,
      0.0382837357504428,
      0.0959847975560961,
      0.237042937162244,
      0.144678916950846,
      0.153300293657963,
      0.0471267480500933,
      0.137103161860433,
      0.981175127418416,
      1,
      1,
      0.886058071796399,
      0.323425610874619,
      0.109061958193561,
      0.136515636010528,
      0.14986618521422,
      0.16164631916255,
      0.471853191844923,
      0.161336730403905,
      0.120622473642991,
      0.0385232931541852,
      0.0991537192280472,
      0.368408418113849,
      0.28972021477427,
      0.213647837218696,
      0.158130619256068,
      0.271043962685456,
      0.231475071944465,
      0.458631599980285,
      0.58374097852649,
      0.576942834503385,
      0.687005429339924,
      0.458781677022573,
      0.51242489008189,
      0.284855932505636,
      0.121080382667487,
      0.267049529068056,
      0.423476005382013,
      0.121502503042578,
      0.166560417460772,
      0.167163041891667,
      0.16152645257866,
      0.283099946135671,
      0.162636286622963,
      0.172029125310789,
      0.207176711923168,
      0.214847157660906,
      0.162995337083468,
      0.864310654366179,
      0.946032273557305,
      0.328895612968576,
      0.313758353963259,
      0.300221024212973,
      0.373560694551113,
      0.219021978992619,
      0.26413452031958,
      0.39302164655955,
      0.31150668909509,
      0.11618557855983,
      0.126837999789752,
      0.0375343718223359,
      0.0846650311964172,
      0.75420808627949,
      0.61049141365377,
      0.474759052799673,
      0.154758327750451,
      0.0975758059441936,
      0.344747296471723,
      0.217852821428293,
      0.24787105101983,
      0.0564996543240099,
      0.211428219735967,
      0.366428880570062,
      0.361991487597617,
      0.203300026723441,
      0.0476089791007769,
      0.200104808055447,
      0.201082879568436,
      0.134211419522935,
      0.126328277609199,
      0.0217835334280459,
      0.0987793163962582,
      0.205249418231217,
      0.144564574846438,
      0.145257704777354,
      0.0310131410753111,
      0.375786500323755,
      1,
      1,
      1,
      0.74512466257414,
      0.227108388745971,
      0.124598429603794,
      0.194131522170002,
      0.253404582623158,
      0.194441769383658,
      0.33189810577736,
      0.144995755564624,
      0.108215277424528,
      0.106712632724024,
      0.0549489680573484,
      0.538009978815697,
      0.646728215116815,
      0.539141426655968,
      0.297688863217568,
      0.0886709799356357,
      0.300995165851585,
      0.25866527268,
      0.24625392663603,
      0.155690454841438,
      0.133326662128825,
      0.272444665507474,
      0.509556772984897,
      0.247675756587733,
      0.104101674341977,
      0.134710680583387,
      0.173644971982216,
      0.154567799336252,
      0.143759071947545,
      0.116988476244449,
      0.275491914138074,
      0.179152029726504,
      0.269418917360559,
      0.107848920314563,
      0.0835298909321574,
      0.247858481250782,
      0.225044741306899,
      0.459853913237523,
      0.424640051238123,
      0.127112984380761,
      0.423377870707136,
      0.407367159312679,
      0.511292466498219,
      0.321187878542963,
      0.377751853622382,
      0.58969330843287,
      0.254757279810479,
      0.104375718086686,
      0.138344508890673,
      0.0402711341249069,
      0.259674388003782,
      0.734951133314473,
      0.592251729962753,
      0.425950918499093,
      0.0929439829673973,
      0.169509451629219,
      0.309182298143962,
      0.203560288671016,
      0.232743812507156,
      0.031186462016576,
      0.232878656629692,
      0.391328945856429,
      0.285793023295019,
      0.175756604391716,
      0.0183996022306509,
      0.249077604098953,
      0.148306197663653,
      0.138536405325122,
      0.109367311475561,
      0.0494885999269758,
      0.185072272639791,
      0.18708855132857,
      0.148149160031977,
      0.123538266015622,
      0.0696725325447305,
      0.568719865196338,
      1,
      1,
      1,
      0.597736743170145,
      0.13797207095326,
      0.126336311409355,
      0.144794333811091,
      0.180914885048176,
      0.291549559966446,
      0.386168617115784,
      0.119279999218729,
      0.126605828115513,
      0.0699939735632235,
      0.168937527150386,
      0.732897366233948,
      0.63504520765598,
      0.499001374330702,
      0.200581817336919,
      0.0893851307905827,
      0.337786885276169,
      0.301926048531594,
      0.280935261723568,
      0.10199690625792,
      0.085113972254786,
      0.124602277287956,
      0.359967050053878,
      0.220089993674042,
      0.0492311368661416,
      0.0565201996126894,
      0.112005804350524,
      0.0983317972956256,
      0.123289492090619,
      0.173293031375258,
      0.222830394186322,
      0.281303439959128,
      0.171195693391615,
      0.137168128261429,
      0.15831138807595,
      0.222929821047261,
      0.462942798101688,
      0.993399503846372,
      0.630984379565221,
      0.202266125757235,
      0.433190167044636,
      0.356871954498346,
      0.236286080247613,
      0.326714085023828,
      0.364549665575363,
      0.210390109817913,
      0.161170753157894,
      0.104042154849928,
      0.12156758466873,
      0.03414619170655,
      0.470281996261464,
      0.657439391953415,
      0.56485653912882,
      0.354211684470184,
      0.0822078153903,
      0.240836781670868,
      0.26660890321918,
      0.224000034069787,
      0.178128820945526,
      0.0625113430898628,
      0.23465946826068,
      0.441592781959016,
      0.25296818344387,
      0.109180586320845,
      0.07131894930193,
      0.250158530004363,
      0.14400676627619,
      0.140253341548732,
      0.055361113356127,
      0.0799233504285387,
      0.213583861153674,
      0.165643041328297,
      0.150520298073985,
      0.0691326761894846,
      0.0768287136003188,
      0.811571640744255,
      1,
      1,
      0.971584759645226,
      0.399244402182262,
      0.0949752752035372,
      0.128811147162348,
      0.177096603316889,
      0.218905179437049,
      0.439168335326883,
      0.339271860188009,
      0.189661185503898,
      0.218291807408401,
      0.466849081428519,
      0.439363176152168,
      0.262161590070835,
      0.35361867597184,
      0.195640212618557,
      0.0860678559499771,
      0.276918158638948,
      0.4322752982353,
      0.565379094721621,
      0.683992028114417,
      0.738721953745847,
      0.547839571014289,
      0.567553641545953,
      0.523631262317136,
      0.289430731603438,
      0.162893735363902,
      0.522984029800794,
      0.281363361078383,
      0.143115274323835,
      0.234725934167155,
      0.409632763835634,
      0.251785002685402,
      0.481227206452796,
      0.290490669597536,
      0.0903876030509402,
      0.159340558120981,
      0.207894023787528,
      0.499572777691791,
      0.523283655313856,
      0.683206010270734,
      0.692388346347389,
      0.581804924563618,
      0.5198745083669,
      0.497177542186475,
      0.510545676027595,
      0.431287712479234,
      0.697996725065489,
      0.300285044429024,
      0.340412849460559,
      0.0551667585058634,
      0.0773030766766196,
      0.176332971072813,
      0.102679936324408,
      0.313942117138259,
      0.254193539336385,
      0.0958197581037475,
      0.314322738279085,
      0.104832417099339,
      0.0762847895302396,
      0.0988358903653226,
      0.104556495264485,
      0.110218253257468,
      0.0293384059519341,
      0.100511744081099,
      0.110884796333058,
      0.135224106650326,
      0.0685419687892683,
      0.082882433961067,
      0.0958334128241556,
      0.0937733411558749,
      0.111589595276669,
      0.18033560528811,
      0.209006292843051,
      0.456318646657784,
      0.119918701580212,
      0.128472903260721,
      0.401375247785409,
      0.100640140726798,
      0.148814756465927,
      0.0988520592295423,
      0.110495659533736,
      0.0665801710605631,
      0.0776284039858187,
      0.14337992971958,
      0.0911994630209205,
      0.197884847301699,
      0.0607201341693288,
      0.0455814068568689,
      0.0568816786555701,
      0.154301780105375,
      0.042522967383402,
      0.248006621645314,
      0.232807660304431,
      0.133180490480664,
      0.267172422899883,
      0.178443126413493,
      0.254187523925994,
      0.147155255887757,
      0.0943215595390625,
      0.158935301555917,
      0.159810143791294,
      0.268785696617916,
      0.120830979339696,
      0.102026433361359,
      0.0959388391454385,
      0.121377005350637,
      0.227724445839325,
      0.119918625790291,
      0.140013774528702,
      0.166684249506419,
      0.181030066937969,
      0.269558483160589,
      0.220473110921058,
      0.249594637101341,
      0.126326898965972,
      0.258561937197733,
      0.264012394561806,
      0.161671623927585,
      0.142370027682764,
      0.191367944457152,
      0.126793253694551,
      0.167075546603514,
      0.0961802760610472,
      0.102093012069531,
      0.108018708980836,
      0.177003480079485,
      0.283053566471169,
      0.122265287574741,
      0.0800598671814049,
      0.0861722901116233,
      0.0377530312938665,
      0.284946470909162,
      0.303170905219102,
      0.287562232135471,
      0.14712595381744,
      0.0297971814627971,
      0.180706014594964,
      0.200659727041124,
      0.18102851499019,
      0.144631050383091,
      0.0646699647919489,
      0.0816270128407907,
      0.265547294152176,
      0.198872556323231,
      0.10003783951195,
      0.0641182556711154,
      0.112013632893573,
      0.100282204109833,
      0.0997784613454445,
      0.0372113021463731,
      0.0645550462035701,
      0.299929755021965,
      0.195578566494928,
      0.19258524402585,
      0.0938393264668559,
      0.0952806334383737,
      0.69859482366223,
      0.651459285778583,
      0.394217327683262,
      0.147291753528379,
      0.263065779285067,
      0.043628641966462,
      0.0608864730726878,
      0.179458811954318,
      0.248891541663502,
      0.234711949232251,
      0.194630626991022,
      0.0798594814304482,
      0.0813065466661159,
      0.0412502263959572,
      0.117006729037406,
      0.429534949388509,
      0.276870565929372,
      0.218742171700784,
      0.0355426994162125,
      0.0996328291680251,
      0.266408164716025,
      0.157677956300273,
      0.196795646564037,
      0.0509226730797983,
      0.106105038080861,
      0.186384299726468,
      0.253838638343702,
      0.161641079557764,
      0.0182082169353627,
      0.0855288837293744,
      0.101741111796779,
      0.177031585433797,
      0.0478529264073207,
      0.19027061868521,
      0.179325797410877,
      0.357479392649195,
      0.266264586294265,
      0.167837704410276,
      0.183253637053063,
      0.200008104147567,
      0.12203665273952,
      0.1509362622997,
      0.112225608273028,
      0.140103580650358,
      0.146665227613747,
      0.202166044669755,
      0.317187217370286,
      0.40434435938652,
      0.338617545759171,
      0.277246698548705,
      0.10273417472016,
      0.0784452793723472,
      0.056553198927184,
      0.0576850281879077,
      0.356818258674366,
      0.289039078567759,
      0.25624007330702,
      0.088664865870339,
      0.0502029583368372,
      0.22278162225655,
      0.166235098838045,
      0.192044148830981,
      0.0696509191008417,
      0.0705922986961329,
      0.0739462069083968,
      0.270036239348301,
      0.176041472732848,
      0.0481248998606695,
      0.0655370953085646,
      0.136443815353903,
      0.0898129239339477,
      0.097837499720161,
      0.0284582916424045,
      0.093582826696714,
      0.315822277995189,
      0.170545567158461,
      0.199851053244368,
      0.0719517217601868,
      0.148173240891943,
      0.785261589478094,
      0.716982180615465,
      0.199104303997038,
      0.172120954936703,
      0.210441562848929,
      0.0333826303410809,
      0.0724457110151504,
      0.103317765397897,
      0.105505571286957,
      0.201250933798997,
      0.0922690406553885,
      0.143020553046265,
      0.0469098269723938,
      0.0994595321370513,
      0.291655115458713,
      0.223798945603866,
      0.238303260237814,
      0.162561078019659,
      0.197015733984437,
      0.208793301854015,
      0.141005014239759,
      0.186893272887439,
      0.117990435764799,
      0.265388818245942,
      0.151394631140415,
      0.129970139536906,
      0.135045328108912,
      0.0671999498379947,
      0.256297512839792,
      0.118452566120999,
      0.135823076310189,
      0.217419117389644,
      0.206210986121412,
      0.166139818790128,
      0.229025135290385,
      0.2071430334251,
      0.269028044188752,
      0.198013435615573,
      0.29011246950762,
      0.1681932827398,
      0.100570428924611,
      0.222353876506267,
      0.167677556387159,
      0.161264163222382,
      0.0756499946412624,
      0.0870174411287401,
      0.124981680582079,
      0.128507353439201,
      0.310504244162954,
      0.18801396066808,
      0.0917531074814184,
      0.087229671123817,
      0.0331115100823187,
      0.071544826585845,
      0.425237139300854,
      0.280156691720222,
      0.232734909551282,
      0.041120973878128,
      0.0624865286881317,
      0.264778749128148,
      0.164149592819457,
      0.195044425339489,
      0.0462798895305243,
      0.0826732751042553,
      0.183955389344773,
      0.261382235745487,
      0.16774892091995,
      0.0332864403204233,
      0.0716175531276433,
      0.12084159006308,
      0.0994572301324323,
      0.0892554307896879,
      0.0326799639917093,
      0.14555718713129,
      0.262678771602369,
      0.173955703732269,
      0.19265458445929,
      0.0596391085044021,
      0.372060211033179,
      0.681645489427199,
      0.704231087822067,
      0.11458242884935,
      0.256424347063145,
      0.130748990759961,
      0.0371871362376119,
      0.102059324231789,
      0.220015484606612,
      0.217798477820869,
      0.318013159971209,
      0.110633575364489,
      0.0796992609082402,
      0.0697054911935745,
      0.0592512269295853,
      0.326616032022143,
      0.302930181575417,
      0.277407293289604,
      0.119796997672296,
      0.0495011443224968,
      0.230743683720653,
      0.187023689196786,
      0.190648574523373,
      0.112036683889287,
      0.0822932723342934,
      0.106328378653203,
      0.303079609524493,
      0.19262112047994,
      0.0719161009179666,
      0.0929121463288465,
      0.0683995381501485,
      0.12826520057542,
      0.140299269549895,
      0.121816354245865,
      0.215231170133999,
      0.202453037572574,
      0.389936591183799,
      0.171276463805328,
      0.169259042103005,
      0.264541068713619,
      0.128419470044262,
      0.124193634156936,
      0.160251179655164,
      0.0838108918184301,
      0.185982569259248,
      0.124401413412277,
      0.327193087624133,
      0.23698709290123,
      0.337104764531434,
      0.443319533876172,
      0.177900377389301,
      0.0782752596310236,
      0.0855102585446289,
      0.0266301526042418,
      0.172486947262582,
      0.361929638401352,
      0.282843881251819,
      0.20270327228666,
      0.0200364469727254,
      0.121926525150252,
      0.22458044240382,
      0.159952380387142,
      0.177836997394848,
      0.0206966996124694,
      0.0786952801101388,
      0.183875813055269,
      0.218167250363512,
      0.138650445309259,
      0.0170291344936198,
      0.104418711374181,
      0.10763214300361,
      0.101396430014822,
      0.076044554788466,
      0.0457342299034671,
      0.242614406362519,
      0.220418873959601,
      0.180081185597895,
      0.160415083724516,
      0.0884531622586142,
      0.544863233705801,
      0.615698524816538,
      0.589530667270008,
      0.0797111568356639,
      0.282515561808509,
      0.0637064207143831,
      0.0447795056500986,
      0.0822843014117982,
      0.107914631518911,
      0.204717006512634,
      0.174383974025003,
      0.0937252676061179,
      0.0887713061242678,
      0.0570258430970762,
      0.135689489349942,
      0.443667836249219,
      0.295931510575894,
      0.254565870392857,
      0.0714464661885145,
      0.0632069160245953,
      0.25834161584777,
      0.16121984434494,
      0.196312491100051,
      0.0585708888903385,
      0.0606707941585908,
      0.0758581136561417,
      0.279033040516272,
      0.175496028336106,
      0.0376668076490302,
      0.0884561841502294,
      0.129436811195381,
      0.13596467316179,
      0.162319387970657,
      0.176737771126699,
      0.261789579064452,
      0.218483732522697,
      0.249454302401617,
      0.127281408502397,
      0.257481824196483,
      0.252134235623665,
      0.157739019957043,
      0.140775443358557,
      0.200889701753409,
      0.118997010374512,
      0.164693303950171,
      0.0947512638877741,
      0.104427881352712,
      0.0795536661365809,
      0.215938541436128,
      0.303074430088331,
      0.126848800275759,
      0.0769044116916487,
      0.080988960655588,
      0.0342666142913474,
      0.303726539683887,
      0.29740111026335,
      0.28756589007421,
      0.149165262481368,
      0.0313899481433611,
      0.18120442764697,
      0.190437218430847,
      0.178314975348136,
      0.13651563208718,
      0.0513141350080939,
      0.112800422712382,
      0.246125682865165,
      0.199188619251579,
      0.0895103747064312,
      0.050762847645743,
      0.122951138001779,
      0.101675831837171,
      0.100072432653221,
      0.0355506565335296,
      0.0662890297417762,
      0.305763873430423,
      0.18941418218362,
      0.188808834106707,
      0.0974543104122535,
      0.102709362568187,
      0.693100849548598,
      0.656417345720406,
      0.385321615456899,
      0.114711020207816,
      0.237796444032175,
      0.0483653573364466,
      0.0437057567428564,
      0.114094840957638,
      0.483259557544808,
      0.444913969400135,
      0.226635931304998,
      0.172871101911379,
      0.192667107558891,
      0.191232164934837,
      0.237423302015616,
      0.20783376242195,
      0.187841332705093,
      0.128707738680944,
      0.348243876279479,
      0.274931371047174,
      0.275149961803547,
      0.210328174225928,
      0.224899989919672,
      0.592530392672733,
      0.306068089928034,
      0.148939290477669,
      0.176296709729558,
      0.150987685661366,
      0.446993143975707,
      0.24334643616916,
      0.124236347899453,
      0.148032571877538,
      0.136660131746311,
      0.144709776736995,
      0.200225274120439,
      0.286696088701088,
      0.199055725065355,
      0.138913592277757,
      0.239615968805888,
      0.325693175739978,
      0.247237402030065,
      0.270146424167187,
      0.310561090916651,
      0.430499597023258,
      0.087305021337955,
      0.106475799148412,
      0.0169340099920193,
      0.0175195458830967,
      0.087232581940852,
      0.658064506398987,
      0.283109339812973,
      0.219990079736651,
      0.327534737794781,
      0.268898045348636,
      0.248155113103299,
      0.497112954717816,
      0.745275551835467,
      0.39741044903993,
      0.440027681720307,
      0.636003989477671,
      0.249380283236299,
      0.079619164065321,
      0.228150662201777,
      0.0697220844452353,
      0.182926926318059,
      0.115226556171403,
      0.198014359840126,
      0.334224920223409,
      0.138744335620951,
      0.150854754439012,
      0.175944124842426,
      0.203780682176712,
      0.483765401695423,
      0.410099072030153,
      0.97908980625183,
      0.919675157960344,
      0.861295873976823,
      0.23938639227058,
      0.456397292070633,
      0.645105968782514,
      0.131457129060047,
      0.13751484251157,
      0.162744196946905,
      0.0965984118767309,
      0.157329897635508,
      0.186979052013396,
      0.208078760562294,
      0.19950287388587,
      0.156591370717123,
      0.131670394499487,
      0.119310424778733,
      0.354587749643288,
      0.323341179618063,
      0.256408924003096,
      0.287731945046006,
      0.834358749136816,
      0.454833517211096,
      0.404700517865818,
      0.342471461013032,
      0.393785996202106,
      0.288023560012014,
      0.160288952258884,
      0.222903107919936,
      0.184291987961576,
      0.277236550812977,
      0.112478128641721,
      0.150737382017026,
      0.20705902558922,
      0.188985526958182,
      0.218826668933636,
      0.222927320952646,
      0.415490656833993,
      0.273327503409207,
      0.316492554968516,
      0.497385980489574,
      0.71884636697668,
      0.881574658180252,
      0.310938908300394,
      0.365635388274511,
      0.558682811618066,
      0.564888879883688,
      0.171740473155476,
      0.680749608959377,
      0.453882817102233,
      0.376704802893973,
      0.133289481897612,
      0.163937672473137,
      0.178617836213303,
      0.334839118729514,
      0.312995521558623,
      0.184936286694745,
      0.113284654954645,
      0.149416770795006,
      0.0418705855713276,
      0.319038849349005,
      0.26808189267624,
      0.226861169907652,
      0.120320259537578,
      0.0254731958357954,
      0.244621964095464,
      0.169055968118993,
      0.14522835299596,
      0.125750544653168,
      0.0923538148088338,
      0.0808807109397737,
      0.225553555691326,
      0.170775613031992,
      0.0897429813364682,
      0.0599218399351449,
      0.133558642649942,
      0.147166209161125,
      0.153693721775279,
      0.0831869547240103,
      0.0625681305011847,
      0.73469574122937,
      1,
      1,
      1,
      1,
      0.736317393056096,
      0.300776553169591,
      0.145041105987778,
      0.138540619945908,
      0.219294641142794,
      0.0300012340825465,
      0.0608209581318143,
      0.186668531836607,
      0.356871602952185,
      0.268541925834615,
      0.235067323990163,
      0.130789164876922,
      0.149072722050998,
      0.055308594905274,
      0.178789044478178,
      0.370446411231533,
      0.233011000799592,
      0.176260955084578,
      0.0287316761829477,
      0.192920769945715,
      0.232038477791838,
      0.139788599376594,
      0.161532013082538,
      0.0392502694930941,
      0.131445044841599,
      0.23554445410775,
      0.189104441630536,
      0.128518820518836,
      0.0110013251431674,
      0.0783592733871619,
      0.295761458463441,
      0.528975603521868,
      0.40609459806092,
      0.586379771176105,
      0.48873296271045,
      0.708161268953005,
      0.503948861936311,
      0.440656692056194,
      0.366397427535881,
      0.588983245548163,
      0.166314082698855,
      0.212397691225879,
      0.144444233977654,
      0.558359351564625,
      0.870697821491827,
      0.674068121423775,
      0.372946459019635,
      0.918996991412553,
      0.31359446892403,
      0.239607097067493,
      0.14391476602292,
      0.122856014860009,
      0.114492530432273,
      0.0912520647712195,
      0.43268249174081,
      0.26453597169913,
      0.198644153184899,
      0.0738538900205813,
      0.102287854604687,
      0.248166488505799,
      0.145294569277313,
      0.152765139956214,
      0.0544681672812905,
      0.0612971169270507,
      0.102275766026778,
      0.24720354378441,
      0.146089863650287,
      0.0390116894749644,
      0.0770177108975603,
      0.18561772858677,
      0.158248490784868,
      0.155652873629563,
      0.0880970163997555,
      0.313134598042236,
      0.963919992561784,
      1,
      1,
      1,
      1,
      0.563437741916408,
      0.312621129202033,
      0.0561055230197289,
      0.130068137527771,
      0.179158981662277,
      0.0319392786439962,
      0.0884863815305172,
      0.081042958208809,
      0.171420560061803,
      0.249935741723371,
      0.277684114775762,
      0.361777038476382,
      0.236033065578962,
      0.237961945010399,
      0.700198264070143,
      0.681089436612419,
      0.369287307018747,
      0.387231556306983,
      0.272516889007403,
      0.529751774077571,
      0.170040488441762,
      0.25416741212911,
      0.185083481471361,
      0.265885380440899,
      0.131953262649841,
      0.166194216972943,
      0.225312158149505,
      0.16850166822934,
      0.299538966059132,
      0.118138628807425,
      0.413835338788949,
      0.371176952808309,
      0.318564811356927,
      0.212901673191013,
      0.783123837297292,
      0.797484386273901,
      0.5924070479938,
      0.341151083744174,
      0.467902402198205,
      0.747098072409031,
      0.153304259330461,
      0.294324056218536,
      0.817510906585592,
      0.356758714639086,
      0.239362142087146,
      0.11531980185624,
      0.162443366758378,
      0.307118733328355,
      0.305807174181649,
      0.296761338811925,
      0.13374734834546,
      0.142867200809339,
      0.0667155602983459,
      0.113912222042531,
      0.376696074876391,
      0.239215522567073,
      0.178676297999567,
      0.0329260334653323,
      0.122864089725815,
      0.240217574098532,
      0.137748512271073,
      0.157820224155116,
      0.0483414123518123,
      0.0823326146083349,
      0.230510200040085,
      0.218496410635427,
      0.141227229504593,
      0.0355686696325995,
      0.0702110282986632,
      0.166459764859177,
      0.148467921508039,
      0.142554279553832,
      0.03319987606758,
      0.284166202413487,
      1,
      1,
      1,
      1,
      0.970221921466905,
      0.379795841393504,
      0.301149509576874,
      0.0630579248593098,
      0.235531658445482,
      0.103856279466992,
      0.0347023911448887,
      0.0992065425852559,
      0.297756283009632,
      0.329745392877523,
      0.42206546521043,
      0.153826438035103,
      0.120004942841338,
      0.141727958193089,
      0.0554427809628107,
      0.342971618084739,
      0.267396761909687,
      0.215057925251107,
      0.0976253941917622,
      0.0516071685899341,
      0.301870491273437,
      0.159019469971298,
      0.153072816725497,
      0.0890668591587942,
      0.110296923887784,
      0.384549719182449,
      0.264042973735824,
      0.148509529257433,
      0.0537799347496407,
      0.0539032049675915,
      0.0642717102282971,
      0.534428005828464,
      0.499986440765849,
      0.550969174608429,
      0.468746411956152,
      0.55540917909008,
      0.687122466362261,
      0.476930735004652,
      0.450293094698624,
      0.472905539066864,
      0.360463222604622,
      0.186298339970318,
      0.188781759664134,
      0.131404513000552,
      0.825364580791736,
      0.900516738166382,
      0.457849573125943,
      0.59686025610878,
      0.672758253692313,
      0.287869584550786,
      0.199815685057373,
      0.125610438184302,
      0.156990458662373,
      0.0413544155728796,
      0.305885327625211,
      0.337444032436052,
      0.22567979787155,
      0.161271493378005,
      0.0238518972372995,
      0.20697335572053,
      0.197889765069654,
      0.130982278234206,
      0.143568365570383,
      0.0208670650536814,
      0.0952211406816319,
      0.183543393439956,
      0.191377518408102,
      0.112330595010737,
      0.0246960610362799,
      0.13976001374711,
      0.159157881297488,
      0.172550162188853,
      0.127780414629256,
      0.14202340600747,
      0.685177920414948,
      1,
      1,
      1,
      1,
      0.882831656907238,
      0.303210839190853,
      0.224681296133738,
      0.0332971984117656,
      0.238731046316969,
      0.0573761674715377,
      0.0521358372845298,
      0.0958702484643468,
      0.142758013876467,
      0.24565214550996,
      0.247588664384342,
      0.127468959182564,
      0.127528350612367,
      0.106769739825478,
      0.112716785275711,
      0.525086827021208,
      0.29039623932026,
      0.202418771518935,
      0.0590865878295435,
      0.0816486693860042,
      0.28692064889282,
      0.140190103736315,
      0.184235961282454,
      0.107267020755042,
      0.142080669219597,
      0.151660123448831,
      0.249108200238564,
      0.15238659378682,
      0.0374026765029086,
      0.0894902742226612,
      0.332520456589593,
      0.400019162264431,
      0.270925677410114,
      0.31600503513736,
      0.462855108948644,
      0.673787431709343,
      0.898363087140237,
      0.307533677632985,
      0.354076363001201,
      0.529169311261036,
      0.567895994124911,
      0.175115464855716,
      0.677603077531915,
      0.455207422337298,
      0.366585459970341,
      0.12921631467615,
      0.164390214380344,
      0.132861259124997,
      0.276603836269174,
      0.365875936101041,
      0.187497798309385,
      0.11590205553255,
      0.14548926213328,
      0.0372161800686095,
      0.368286438348377,
      0.267580473259658,
      0.219517148601698,
      0.117665901516724,
      0.0301493775590236,
      0.253004283504258,
      0.163653695002437,
      0.14132340513014,
      0.125116743787162,
      0.0479122299145525,
      0.287512604536398,
      0.315040262454866,
      0.170269609370964,
      0.0897365888572552,
      0.0443718959305473,
      0.264176848054979,
      0.149874551898725,
      0.146420447796764,
      0.0662572687487779,
      0.0648773364596319,
      0.735110884310364,
      1,
      1,
      1,
      1,
      0.732958505834863,
      0.303745071819723,
      0.134401034644406,
      0.0699972488451999,
      0.211906961932151,
      0.0493919059776137,
      0.0364074184388697,
      0.140533245993706,
      0.795115511665477,
      0.643123873838888,
      0.361168019979945,
      0.783453435318088,
      0.850038444902253,
      0.582165695885163,
      0.422692754167418,
      0.524026585329242,
      0.52695324350864,
      0.818953084656879,
      0.985387063018521,
      0.61453842123126,
      0.347872914337376,
      0.40241433357995,
      0.392397824173129,
      0.172408042934116,
      0.197905039495717,
      0.178532046619022,
      0.248128525161753,
      0.216575318441132,
      0.989518963714666,
      0.380047772778771,
      0.445154364012967,
      0.730739663592606,
      0.716060386279744,
      0.289221254539987,
      0.530044562679014,
      0.546686887035015,
      0.72880667859282,
      0.90645951860679,
      0.832412592996231,
      0.674627581533138,
      0.387311072032107,
      0.620605839328599,
      0.136486507512571,
      0.137725952055924,
      0.0658297385943773,
      0.0891779927811234,
      0.0273433339578286,
      0.0307082968974255,
      0.255000019969809,
      0.982642870157469,
      0.321775027222058,
      0.176869070360193,
      0.0856668811277255,
      0.113026950259335,
      0.284682343215413,
      0.322036708861348,
      0.646610614423023,
      0.345659269056113,
      0.200122316810339,
      0.513333760611172,
      0.147046389260953,
      0.0684407433467555,
      0.173055051539798,
      0.0654636917683255,
      0.192704744053373,
      0.0565272725953194,
      0.0885467814442686,
      0.218555176565121,
      0.105303038675036,
      0.150286029336879,
      0.172667737011258,
      0.104580716522016,
      0.130129244392528,
      0.253431896807595,
      0.413398141369822,
      0.361558634412067,
      0.753656402057585,
      0.220428995424691,
      0.250838901590171,
      0.552539970588394,
      0.110050552639666,
      0.116119558657829,
      0.165040839171985,
      0.0685458342112553,
      0.060347019531157,
      0.0667476939980811,
      0.107830282228528,
      0.111751200974327,
      0.14442903783131,
      0.0620658806474814,
      0.103656122812983,
      0.103207025377633,
      0.157438252193053,
      0.0963309004953505,
      0.268114854620865,
      0.304180886929118,
      0.106572788200363,
      0.194387306202846,
      0.139743463597041,
      0.237862847570497,
      0.105036198157286,
      0.102043377687609,
      0.166057535098739,
      0.158375882377645,
      0.265521320218962,
      0.113393081473969,
      0.0960279576734574,
      0.157295135239229,
      0.165423290170406,
      0.250958998423881,
      0.18729588824709,
      0.208811569398149,
      0.13241019691271,
      0.300678128214398,
      0.269489280467873,
      0.425097231211888,
      0.225331490082179,
      0.18088239694428,
      0.234459913657031,
      0.253651785224121,
      0.180468810410957,
      0.130783412396706,
      0.164684181366468,
      0.258298509004299,
      0.342094893084687,
      0.165772823769355,
      0.127042935592593,
      0.199414382261383,
      0.410310865340567,
      0.322194403276547,
      0.215909036511978,
      0.133620855456564,
      0.199221905093172,
      0.0928412624864669,
      0.198187504270664,
      0.195480917541285,
      0.179145960821928,
      0.0876997949515607,
      0.0296163819987107,
      0.130738684777896,
      0.147956631933235,
      0.135265847275599,
      0.10027677845614,
      0.057083559871629,
      0.0897080133869146,
      0.230344987095479,
      0.152085558589169,
      0.0638730894889779,
      0.0613838419521875,
      0.228996463175812,
      0.17235177915139,
      0.178313763653627,
      0.0927596591241813,
      0.120049878566934,
      0.586180809245707,
      0.529407590136244,
      0.499224161101275,
      0.249342221404818,
      0.108146526891521,
      0.307757500842248,
      0.235112112762629,
      0.0968495949180346,
      0.0606385045903648,
      0.189927465227211,
      0.0251994160382313,
      0.0856647163716394,
      0.177854842430478,
      0.206115774197294,
      0.272165667824277,
      0.32845175388862,
      0.131158655994988,
      0.192091579298991,
      0.0856185264062668,
      0.144227027217566,
      0.264485483701942,
      0.169118943334758,
      0.126679781225867,
      0.0184636781195009,
      0.0806979091572992,
      0.185814217305492,
      0.11469843848178,
      0.140976733378935,
      0.0375619504391604,
      0.130580621267882,
      0.146734376483971,
      0.164252978829399,
      0.10870479722563,
      0.0105021260020312,
      0.0934623752468957,
      0.234598878836535,
      0.164299676219548,
      0.109827129319039,
      0.229042917680615,
      0.235766749678932,
      0.162894783889549,
      0.252372818991216,
      0.120781087365854,
      0.191287194963032,
      0.167197664118045,
      0.158114046256457,
      0.298385975740963,
      0.137704473940456,
      0.192247214969441,
      0.169872056695763,
      0.168886831321452,
      0.455018328989537,
      0.359579306464209,
      0.282532995401996,
      0.361172068659884,
      0.174487789312254,
      0.150412556693383,
      0.146717123901114,
      0.105327082043676,
      0.254326269176436,
      0.204562507979454,
      0.158837169968315,
      0.0500355942682874,
      0.0469757535089475,
      0.177180888313794,
      0.121594775216439,
      0.137149414004265,
      0.0446124421567188,
      0.0655144649152242,
      0.0576689874659857,
      0.219767889391745,
      0.12518065016006,
      0.0320759517005071,
      0.0942809336522677,
      0.269588840529393,
      0.1695133872782,
      0.176311112267106,
      0.0817205783648793,
      0.152902223217002,
      0.706851170216911,
      0.491851823656921,
      0.54176510591716,
      0.126823370389322,
      0.126382829469608,
      0.321054533806433,
      0.240225882118211,
      0.0335346530669383,
      0.0955769178344524,
      0.150275013148136,
      0.0270603329161401,
      0.0706272484965152,
      0.0693255893910659,
      0.188862037920337,
      0.235201711786348,
      0.169094738286372,
      0.150561866521084,
      0.0785811542528392,
      0.124356627729322,
      0.327950592251136,
      0.260549486681504,
      0.188085275878648,
      0.138215510697404,
      0.180010498709601,
      0.240928090402217,
      0.132780977472045,
      0.188507147873872,
      0.134280860184169,
      0.224062176976836,
      0.169843932372021,
      0.171495895421774,
      0.168311465937278,
      0.141985797803434,
      0.236176730572659,
      0.191622398096184,
      0.237085148434225,
      0.209377774062714,
      0.23577407211176,
      0.247073874897737,
      0.401027847204898,
      0.239216501440477,
      0.247472355539751,
      0.259899145755026,
      0.242319369500118,
      0.183925716087812,
      0.123530881086334,
      0.194483076069513,
      0.179447547625754,
      0.353310694944647,
      0.234052196174099,
      0.101686905925918,
      0.176795881094936,
      0.419068862554954,
      0.304559800712617,
      0.324772718956397,
      0.143774611914107,
      0.182816399954752,
      0.0995730392427953,
      0.118278111416941,
      0.243664780121245,
      0.16995477428273,
      0.14039079374861,
      0.0210156047765596,
      0.0536400398866513,
      0.179050265461511,
      0.120879767345329,
      0.139555347026658,
      0.036647314187658,
      0.0814803835552316,
      0.184147211422095,
      0.195443539849795,
      0.114010677469082,
      0.0302464741630707,
      0.100582166802122,
      0.241806467205749,
      0.176777138526571,
      0.167045004400944,
      0.0578590677364469,
      0.235864433963003,
      0.694616895087705,
      0.456141792933042,
      0.518855398654345,
      0.0672955947002997,
      0.204194256068273,
      0.255827591840125,
      0.244630406119752,
      0.0408483846464656,
      0.175362916714,
      0.0969303679263482,
      0.0444257070456712,
      0.146297963538155,
      0.199017203962638,
      0.243383014178669,
      0.56004206578403,
      0.199464481245232,
      0.141948056557414,
      0.182136540398141,
      0.119156449723053,
      0.208180555550563,
      0.187882054144142,
      0.168572275178101,
      0.0653686513508882,
      0.0473275321625306,
      0.160986017936523,
      0.13801305317794,
      0.134527037921583,
      0.0770130543261034,
      0.0898238049315642,
      0.157220183605572,
      0.227940785962207,
      0.127223258678463,
      0.0479923552010819,
      0.0753020683725091,
      0.0834755933523373,
      0.241484126127727,
      0.187362144714407,
      0.159457823837557,
      0.284754449977625,
      0.142402562417075,
      0.243985062997372,
      0.136173630888037,
      0.175286695450158,
      0.206391470892762,
      0.150490125714588,
      0.282020407820169,
      0.148920252418212,
      0.13446332882457,
      0.210375047240761,
      0.143152299895504,
      0.327934762602106,
      0.415608844435954,
      0.287476533295385,
      0.316539566897094,
      0.299870622160361,
      0.13352201969284,
      0.193923629656743,
      0.0760211915772606,
      0.186537501851696,
      0.250600283627321,
      0.178376180816421,
      0.126069136156188,
      0.0158493768956339,
      0.102317879188467,
      0.167406838825942,
      0.117970919717947,
      0.124215771890645,
      0.0174394242456075,
      0.0844257347283535,
      0.143644268379364,
      0.159707942125464,
      0.0929834716274181,
      0.0216481821196018,
      0.225975448575341,
      0.189765173876928,
      0.188075354287427,
      0.147401362704391,
      0.107106283802404,
      0.428300356211621,
      0.59886476534951,
      0.464883359119964,
      0.422055579910287,
      0.0950844048479206,
      0.257382098372718,
      0.218434052060989,
      0.167011091343164,
      0.0219320733396301,
      0.196278832398002,
      0.0446568638456678,
      0.0370574775302852,
      0.0834508447498186,
      0.158848850350006,
      0.257468564886208,
      0.332887765790354,
      0.151894582576405,
      0.172179089238904,
      0.151852259032157,
      0.121795136817159,
      0.297634758428019,
      0.183427088762623,
      0.155627274505451,
      0.0402771131790178,
      0.0779359882076243,
      0.196240899799565,
      0.112398477073099,
      0.145511048404672,
      0.0441244241274683,
      0.11747383837416,
      0.135743301523385,
      0.221220935281288,
      0.129903754326509,
      0.0267462185326472,
      0.0846422987249423,
      0.181920199618201,
      0.194785381897598,
      0.134332544849265,
      0.300046999619644,
      0.278878425976883,
      0.398893951644858,
      0.213774520794511,
      0.180308537299149,
      0.224009061760941,
      0.255077125021716,
      0.184009634694079,
      0.122613818274818,
      0.168499080314916,
      0.264254536704653,
      0.344621602943319,
      0.163797618231972,
      0.126647560933287,
      0.153684479814996,
      0.250352382804286,
      0.337964277845383,
      0.217738093750435,
      0.134362226340704,
      0.189895406298303,
      0.0781367914566807,
      0.201634126064336,
      0.193551025833166,
      0.1792537111811,
      0.0884933876334373,
      0.0297366185958301,
      0.145055473031824,
      0.14137231001975,
      0.129629553564386,
      0.0943075826572008,
      0.0424245813538338,
      0.0590918582824963,
      0.2076687239866,
      0.144251732713426,
      0.062063780618368,
      0.0514826052472196,
      0.295305810033393,
      0.184275236935176,
      0.178055128801993,
      0.0855782716849698,
      0.104244095427418,
      0.583718238088159,
      0.527819345493766,
      0.507532669060037,
      0.252809004878737,
      0.0936985217882893,
      0.31308521278935,
      0.233851287815567,
      0.0961245037594224,
      0.0440394762397331,
      0.191920590551055,
      0.0298996088907908,
      0.0370247300579247,
      0.097728638499402,
      0.239570779964974,
      0.401212970908639,
      0.639687048417199,
      0.315748048680049,
      0.266802843263424,
      0.306374322045889,
      0.302011939019391,
      0.142423803432228,
      0.176578923748913,
      0.153811026145096,
      0.219663838913225,
      0.210549688909214,
      0.193479465809918,
      0.218909674351503,
      0.142309248270938,
      0.154998750889078,
      0.23384286648863,
      0.136612048746145,
      0.203168485173016,
      0.18263265259646,
      0.175083099407892,
      0.47885885245086,
      0.579415088077479,
      0.198024013300521,
      0.279474639917694,
      0.316216420742759,
      0.265322328764505,
      0.158874975675195,
      0.184104355802425,
      0.167941738464228,
      0.21382346676542,
      0.255554490209724,
      0.139609935833433,
      0.199949410905157,
      0.14023490137023,
      0.226350280575999,
      0.0911702030560473,
      0.106562897527336,
      0.0226423585169123,
      0.02949397428071,
      0.310026885138813,
      0.965571800524745
    ],
    "tonnetz_curves": [
      -0.0484720611567589,
      -0.022039009786732,
      -0.245110544995873,
      -0.224177309719377,
      -0.10602728769848,
      -0.166350416518379,
      -0.104222474318414,
      -0.13920497503441,
      -0.161321582280268,
      -0.103897176531526,
      -0.15796945334455,
      -0.00772330410355704,
      -0.170488958122604,
      -0.138100585671379,
      -0.00913951988344769,
      -0.501589109196202,
      -0.171679278068945,
      -0.279636057322626,
      -0.0704760275346764,
      -0.192416721624233,
      -0.275304216570931,
      -0.337814157014142,
      -0.473012915284473,
      -0.182946935022012,
      -0.131337325909058,
      -0.219804626038751,
      -0.0421727409778323,
      -0.105562537300901,
      -0.0543802022798776,
      -0.0181269546630577,
      -0.109034883091153,
      0.0846711409115254,
      -0.181441124149454,
      -0.0243587610018339,
      -0.220101503473474,
      -0.364321995771166,
      -0.0959941382044666,
      -0.219983988095709,
      0.0107836023884842,
      -0.380942178101461,
      -0.306760280425684,
      -0.29508433267389,
      -0.34022312318465,
      -0.256752725659015,
      -0.208468392344996,
      -0.194282242843674,
      0.0969449730804282,
      0.0171580566969624,
      -0.0399352610005274,
      0.0714906125507506,
      -0.0394490059884826,
      -0.318509627989634,
      -0.252916596427709,
      -0.248778529302191,
      -0.184665449703804,
      -0.224726644511669,
      -0.360287003409472,
      -0.32009701670192,
      -0.100218762022177,
      -0.152732764090579,
      -0.201311455088481,
      -0.164845019036044,
      0.0911400569739339,
      -0.0996372602129862,
      -0.061965289908213,
      -0.0464943711860273,
      -0.0508254527470912,
      -0.0213449003150342,
      0.102182382725598,
      0.0430873142450907,
      -0.177351652944366,
      -0.372302732604146,
      -0.167563406032189,
      -0.0965735587762931,
      -0.225716927670625,
      -0.272601026268683,
      -0.336791072306655,
      -0.215271039607582,
      -0.00831551863812949,
      -0.0803183965968173,
      -0.0537361830141564,
      -0.038041121820977,
      -0.0624861513694397,
      -0.0109181513923949,
      -0.0502350086790892,
      0.0138376872171804,
      0.0335358802261418,
      0.120281648233554,
      0.297275677012834,
      0.0862756199704055,
      -0.112362988960488,
      -0.119307529622002,
      -0.153380858420272,
      -0.251685063989371,
      -0.279820915377339,
      -0.0844327484753639,
      -0.107269399445971,
      -0.199445545265615,
      -0.247397546237923,
      -0.178006371463695,
      -0.0570079765859956,
      -0.0504971804233453,
      -0.0590924030652845,
      -0.0150838284274216,
      -0.066083946938416,
      -0.156949846416627,
      -0.195574572933118,
      -0.435990197848277,
      -0.391911142016083,
      -0.0483100188957546,
      -0.0832773531626408,
      -0.265676973208546,
      -0.357914783284204,
      -0.0895564584348112,
      -0.28081874121211,
      -0.264027064008396,
      -0.147708236823909,
      -0.157388720618045,
      -0.171445629215253,
      -0.0537258255579475,
      -0.0566361977738298,
      -0.0555315146713357,
      -0.0332583917891204,
      -0.0265970068994098,
      -0.0119528577728303,
      0.0252492839602095,
      0.056047295691286,
      0.266400873742394,
      0.14221486464848,
      -0.0601460138231269,
      -0.135365164610404,
      -0.108415720968026,
      -0.255224827584189,
      -0.195562395782375,
      -0.10151525704332,
      -0.0956742293148033,
      -0.137338944239361,
      -0.319107106996017,
      -0.216451700245281,
      -0.139719788128156,
      -0.257494440749514,
      -0.439665075600094,
      -0.215606901453729,
      -0.119370275661328,
      -0.0170563905482608,
      -0.0506234016745981,
      -0.11279940995254,
      -0.121616123534198,
      0.00116512055820052,
      -0.163309734587886,
      -0.322828489319803,
      -0.0840736231735246,
      -0.131412508791123,
      -0.31683616641929,
      -0.254602988902431,
      0.0313547969131439,
      -0.161649175606883,
      0.0402322719088331,
      -0.0874793631110508,
      -0.0516213434625463,
      -0.0432749712860082,
      -0.050146059473103,
      -0.0264270426095692,
      -0.0622940542769695,
      0.014071135497278,
      0.0448901810264884,
      0.182452346149194,
      0.257563299982395,
      0.0225481972181213,
      -0.128078993683641,
      -0.113989285506962,
      -0.199024908994212,
      -0.276530029253457,
      -0.290992354421839,
      -0.0776037340981748,
      -0.127271820867879,
      -0.243913037842221,
      -0.283753659472281,
      -0.0986655315499973,
      -0.065715442212758,
      -0.0552783209157229,
      -0.0407407872731446,
      -0.0875040669743891,
      -0.0991502468797828,
      -0.183034045171326,
      -0.178727207374845,
      -0.525252844505248,
      -0.252827561006678,
      -0.0519911203679288,
      -0.0713443688541351,
      -0.412659585018333,
      -0.251500659125324,
      -0.129081927181129,
      -0.294995769126242,
      -0.27031019092732,
      -0.194567523211298,
      -0.114080585057447,
      -0.209899165590088,
      -0.150707322061104,
      -0.241029186923901,
      -0.370580842516296,
      -0.253852882042263,
      -0.160456163139209,
      -0.0443606166883637,
      0.0738855630906171,
      -0.0542157863560191,
      0.0236530448454895,
      0.0225168944414142,
      -0.182447281229342,
      -0.273672851559744,
      -0.26567927174673,
      -0.190748459884018,
      -0.20729860934531,
      -0.237785055131732,
      -0.346208636701059,
      -0.207843076864769,
      -0.115865693187386,
      -0.211965487240236,
      -0.147416776059414,
      -0.0276471534129402,
      0.0736173519436292,
      -0.192447503224348,
      -0.0553639762087715,
      -0.0117579239723349,
      -0.0389631837269826,
      0.0020167662266734,
      0.115034038904601,
      -0.0548089462844745,
      -0.350863878637925,
      -0.239444145281172,
      -0.126156870513353,
      -0.0853046562829635,
      -0.287821421529162,
      -0.334941424994889,
      -0.298343420388671,
      -0.0896613138602382,
      0.0185423339268672,
      -0.101217552325452,
      -0.0490927425907993,
      -0.0502866241317655,
      -0.0517284008330823,
      -0.0129337512120496,
      -0.0208285915757638,
      0.0242437181447839,
      0.0591611467672484,
      0.24053652049329,
      0.254209187846068,
      -0.0350092161041538,
      -0.129206011808303,
      -0.107224670151025,
      -0.243393295897712,
      -0.261101402011784,
      -0.128177283810947,
      -0.0795804463573057,
      -0.128335127013965,
      -0.264301106879049,
      -0.271465923021058,
      -0.0687428400747138,
      -0.0484286249193161,
      -0.0568159108212511,
      -0.0206524160844022,
      -0.0307815426830322,
      -0.118115768731042,
      -0.199781143854019,
      -0.209887847194137,
      -0.557866778978606,
      -0.131600561466492,
      -0.0842835883854138,
      -0.0733393020840166,
      -0.451435404080229,
      -0.167568200107209,
      -0.184932895321318,
      -0.280876511532456,
      -0.174377573446908,
      -0.176098562783606,
      -0.161643416119484,
      -0.0325282056613464,
      -0.0470232820955329,
      -0.0398944294806137,
      -0.071008433466149,
      -0.0180563672987002,
      -0.0507773352320286,
      0.0156488368390454,
      0.0408978099026954,
      0.144003512508858,
      0.277722769332866,
      0.0169973478610156,
      -0.115496358964066,
      -0.118301453803871,
      -0.175328586334679,
      -0.244271640889661,
      -0.21877080190962,
      -0.0870434138951745,
      -0.121775183583249,
      -0.214230877439814,
      -0.232316494433081,
      -0.222536287801743,
      -0.192441203112643,
      -0.329876330987475,
      -0.339165382358555,
      -0.144682194445696,
      -0.113986258484802,
      0.013417093959334,
      -0.122275373555513,
      -0.102316471989956,
      -0.0385890074126221,
      -0.0763018194305583,
      -0.254271298481863,
      -0.297315126825407,
      0.0467749183475894,
      -0.256336150121876,
      -0.33507774894219,
      -0.0843095812821806,
      -0.055767463124164,
      -0.0602831784453664,
      -0.0322127101907139,
      -0.0524066112961251,
      -0.047799539636244,
      -0.0601236959637382,
      -0.011772381197111,
      -0.0679551863470313,
      -0.00789317956531024,
      0.0289822409760603,
      0.0767039935188381,
      0.305889018920075,
      0.117496078359393,
      -0.0833616619085544,
      -0.135000269652391,
      -0.117212977549889,
      -0.279634303202543,
      -0.311479675926771,
      -0.143839154196887,
      -0.108059633644627,
      -0.1484292159384,
      -0.314022910034187,
      -0.188652225611412,
      -0.0621634220245406,
      -0.0559065088555276,
      -0.0582072624780084,
      -0.0368362107212663,
      -0.109731254316077,
      -0.141684502460324,
      -0.198088990524397,
      -0.285486983065228,
      -0.469178584462707,
      -0.0775525105589433,
      -0.0979291752192858,
      -0.166904184448238,
      -0.444791357489963,
      -0.0975999328221299,
      -0.249867349027819,
      -0.282346457019685,
      -0.244435463440813,
      -0.0991335797691519,
      -0.182748953237704,
      -0.116589116639088,
      -0.049006189182033,
      -0.0393378153074869,
      -0.0301825530808164,
      -0.063560879639683,
      -0.0133048598707688,
      0.00622942358850602,
      0.048284891590351,
      0.20967551475709,
      0.249319353769843,
      -0.0305544533186363,
      -0.155018392360394,
      -0.122231063036836,
      -0.229396731699562,
      -0.239544009371137,
      -0.217462736615491,
      -0.0912189149003106,
      -0.137603496547299,
      -0.270245332550049,
      -0.137542100312173,
      -0.274442983071722,
      -0.217268713784909,
      0.0928873045207297,
      -0.100619841911338,
      -0.0548838679007188,
      -0.0393228764973158,
      -0.05225864859404,
      -0.0188303904832885,
      0.107137380040714,
      0.0568121669071695,
      -0.176850270999227,
      -0.365629575830263,
      -0.162896320572658,
      -0.0984063923974743,
      -0.230871715140839,
      -0.275472719020676,
      -0.337375295702971,
      -0.35983065493171,
      -0.129080914399974,
      0.021991974661615,
      -0.0537191615106807,
      -0.0338259249607505,
      -0.0561290871551323,
      -0.01565096350239,
      -0.0541515264561425,
      0.0103050021026618,
      0.0404988694943095,
      0.128789020545679,
      0.306711206909814,
      0.0764639460456699,
      -0.115740872999544,
      -0.121408611682011,
      -0.159249105615593,
      -0.254419623395335,
      -0.28885064736516,
      -0.113068375276946,
      -0.112987863937442,
      -0.203955608115326,
      -0.27741620450757,
      -0.168614591046472,
      -0.0533870862715929,
      -0.0439683987927882,
      -0.040018353927673,
      -0.0175453352921663,
      -0.0605416328143851,
      -0.158399526482789,
      -0.189364618095429,
      -0.415165589403667,
      -0.387682493202259,
      -0.0422940050070593,
      -0.0895163813951806,
      -0.279552257962955,
      -0.399960870307544,
      -0.0939033187889795,
      -0.28413291376817,
      -0.319513048995364,
      -0.282811462304999,
      -0.206045005932522,
      -0.117410819872709,
      -0.0709621439035612,
      -0.213556942688751,
      -0.148078881184724,
      -0.111254176499097,
      -0.0701364813266344,
      0.0189607227428158,
      0.0819335107571459,
      -0.00901852151815199,
      -0.16127292247772,
      0.01736556171622,
      -0.0274009932067154,
      -0.202151129363947,
      -0.306327562854705,
      -0.103023775515399,
      -0.15408497366178,
      -0.243625676818959,
      -0.292660464264006,
      -0.221268261272339,
      -0.203958614828852,
      -0.163816648848769,
      -0.123028890962465,
      -0.151577032835279,
      -0.15332205176245,
      -0.0336393081963187,
      -0.0747427449062118,
      0.0420465592519532,
      0.0483672864354166,
      -0.106649246460442,
      -0.224904822331518,
      0.0646844315341922,
      -0.168283818896429,
      -0.26687726096033,
      -0.215212454979931,
      -0.141180877228655,
      -0.327535080864922,
      -0.292238165151842,
      -0.43716499157434,
      -0.43840074252416,
      -0.314980294233517,
      -0.0365649523115266,
      0.0414392617459381,
      0.168224962316189,
      0.231555108493346,
      0.175616005906628,
      0.0987771587195755,
      0.0936971529649281,
      0.0863111583559408,
      0.0877409596162142,
      0.186826520692626,
      0.00624500537384446,
      0.0669559748765719,
      0.057331526128427,
      0.00541220262552942,
      0.171106530370245,
      0.100342261967777,
      0.00827443623217296,
      0.11564077135175,
      0.0325837448803948,
      0.117869878265694,
      0.00875724081041512,
      0.0648385949803168,
      0.145374269571883,
      0.109412284752689,
      0.0846052626912984,
      0.210554672624259,
      0.131727028814593,
      0.0274897320053678,
      0.195107706934057,
      0.135868704344318,
      0.0141641326740089,
      0.120404477736832,
      0.047925752119693,
      0.0315463589020066,
      0.211326907985053,
      0.0868177180376149,
      0.0582825557252346,
      0.076504355908473,
      0.115790711626804,
      0.105646559510886,
      0.0647514926260134,
      0.20084311623299,
      0.332138428094051,
      0.188452918566211,
      0.0998017538995214,
      0.062248636150288,
      0.212943916566731,
      0.380117434273618,
      0.315724061960317,
      0.249585886025106,
      0.211974708964144,
      0.348978485480953,
      0.303254702637499,
      0.211448655859213,
      0.123568408226653,
      0.118551660322204,
      0.305748817868869,
      0.256657711830556,
      0.158282216791716,
      -0.00218565565399663,
      0.125823211675854,
      0.320302581968777,
      0.326316303707039,
      0.254870288762745,
      0.10570700907402,
      0.251281082802534,
      0.190836502068762,
      0.366280631976013,
      0.355236501465714,
      0.258148560067764,
      0.301740003238763,
      0.244801049005783,
      0.0819195500657803,
      0.169473815076659,
      0.33935272090718,
      0.196142517357969,
      0.252771728136383,
      0.233461203348746,
      0.233717012602179,
      0.211006390651766,
      0.161693330420638,
      0.181199226774612,
      0.281236956984617,
      0.216213769395877,
      0.589640905655882,
      0.249894614419502,
      0.142784117083096,
      0.156460788625074,
      0.312160448612074,
      0.564870806232466,
      0.234082951155455,
      0.118319509243365,
      0.12548840962444,
      0.135260542507818,
      0.414139447490255,
      0.377866495166904,
      0.0937190600927757,
      0.101917242804162,
      0.217852106424848,
      0.422049057419369,
      0.243668133341333,
      0.215808431099435,
      0.216915724005231,
      0.450813939594927,
      0.540224472869724,
      0.189983334898641,
      0.0700963030335922,
      0.069382160232519,
      0.226868137324428,
      0.333128170056349,
      0.0831875067265011,
      -0.0561794999499345,
      -0.132297964705137,
      -0.0651504124326757,
      0.0520169481195436,
      0.365749375166537,
      0.413277514785019,
      0.28929319364564,
      0.277672830317272,
      0.183392100040499,
      0.106701419474663,
      0.262317195850418,
      0.208972793942748,
      0.579724453278287,
      0.416593231312778,
      0.105172916888444,
      0.153020736140727,
      0.214338661459745,
      0.555061765665066,
      0.368667339443376,
      0.0866183545083819,
      0.154041646267784,
      0.0798801050899527,
      0.367267677533841,
      0.327884612502476,
      0.22992036841553,
      0.0858296314639365,
      0.142063820161252,
      0.506430430949534,
      0.323052890408335,
      0.291337710083398,
      0.222493155343597,
      0.222810386098737,
      0.110115901279205,
      0.240257612134128,
      0.283887307532223,
      0.335670212538261,
      0.43426376535302,
      0.20847666178741,
      0.291207022553834,
      0.277497799872773,
      0.104566173562794,
      0.205593744119433,
      0.313255815055839,
      0.319523041900625,
      0.281259856276694,
      0.220764208829499,
      0.217588660233637,
      0.163086018981274,
      0.111980227242401,
      0.20793691494044,
      0.273723709568377,
      0.34353509924073,
      0.536529640972523,
      0.168150071047355,
      0.144093656460751,
      0.177785003359369,
      0.416440507855311,
      0.508873298508244,
      0.139801410378932,
      0.141221382588962,
      0.0991430535270051,
      0.24914743616505,
      0.399145593886681,
      0.307472372791624,
      0.0679805435527139,
      0.112507696742127,
      0.323729688204182,
      0.370652776399007,
      0.165902974715934,
      0.221314170673098,
      0.216648901884186,
      0.550523925165157,
      0.430418854774467,
      0.0706215202323191,
      0.0852717240446494,
      0.062907971725588,
      0.281564222918858,
      0.262792570170776,
      -0.00980245498301144,
      -0.0687979110949514,
      -0.184717756460602,
      -0.0860260975579289,
      0.0938664295446832,
      0.380681072188355,
      0.389821446824415,
      0.313075176536351,
      0.243008627496603,
      0.172320443528509,
      0.305977579316743,
      0.249279424423648,
      0.175638563934695,
      0.0233908321892776,
      0.205201064740913,
      0.236879987082881,
      0.321943539293653,
      0.354862866753219,
      0.184213189409796,
      0.310122169467502,
      0.263065911739755,
      0.203245932502026,
      0.215007278156353,
      0.0602412850112707,
      0.289522560184207,
      0.255585394322553,
      0.173773856050111,
      0.0874283598363959,
      0.0288407952084439,
      0.322429473641831,
      0.299916061692593,
      0.261903486077496,
      0.166431301551832,
      0.167867176904065,
      0.243621637167147,
      0.310844484379881,
      0.342927448368747,
      0.268420989129287,
      0.2851144455998,
      0.309870886949795,
      0.153591626929173,
      0.0761624423031012,
      0.266580839497033,
      0.284804765651561,
      0.237648469690348,
      0.252312914764727,
      0.225369730747023,
      0.184048598337271,
      0.210936652356505,
      0.119969233877798,
      0.236356602254981,
      0.228806430650018,
      0.510192120431796,
      0.491944467022866,
      0.118902993588948,
      0.154167171831161,
      0.19383484518001,
      0.539554441195064,
      0.466875411542173,
      0.0873376201736721,
      0.15015216214653,
      0.0866158092062922,
      0.350746452652883,
      0.359797270356042,
      0.199263771996754,
      0.0682061152353351,
      0.129690786086872,
      0.397309727616168,
      0.383129491336049,
      0.159827832682376,
      0.220793325650749,
      0.230769338863896,
      0.660937243821317,
      0.39693090561442,
      0.048306041812035,
      0.0891397582169911,
      0.0695570163483965,
      0.370529044382312,
      0.2339480241898,
      -0.055373389021922,
      -0.0763405612488537,
      -0.169920611482802,
      -0.0216447545683733,
      0.18152287384821,
      0.4491312278007,
      0.368120243543379,
      0.289990916753494,
      0.215622274606577,
      0.0257229076522989,
      0.193624046354803,
      0.28115518147549,
      0.2904149218601,
      0.563694430328644,
      0.224315196531563,
      0.14009628189292,
      0.16142214446703,
      0.368362315883329,
      0.546666997063706,
      0.180609654419628,
      0.137689075039512,
      0.113611632347844,
      0.185832697649952,
      0.398651568402059,
      0.360372492435575,
      0.0731528471924642,
      0.114599629379187,
      0.294475120163597,
      0.411670226731346,
      0.351752055208433,
      0.258536900647154,
      0.227096234132725,
      0.163534718526763,
      0.12121747954603,
      0.282380247704306,
      0.319663556361261,
      0.41777842302801,
      0.327022287338757,
      0.189604513123343,
      0.294101536112879,
      0.168738342183881,
      0.154488584989552,
      0.365346491713098,
      0.254412410575121,
      0.314840094970414,
      0.231991431652035,
      0.24664186476789,
      0.231560608778836,
      0.102484925170844,
      0.119116792555072,
      0.27678546944869,
      0.200896139452458,
      0.606180967282372,
      0.330267442517267,
      0.115893339151852,
      0.154522960026283,
      0.235705461243345,
      0.579901123724876,
      0.304829573736691,
      0.0908995915783435,
      0.142325587274915,
      0.0855422490332378,
      0.450884006318635,
      0.319061804303295,
      0.166543124020214,
      0.0836282992125849,
      0.151026489203312,
      0.45956573824325,
      0.247943826757846,
      0.20502625417759,
      0.213810179674312,
      0.302026978300586,
      0.567833882440113,
      0.232387154211773,
      0.0581197433005495,
      0.084017150509748,
      0.122685908042637,
      0.290075847690153,
      0.161196273933625,
      -0.0671215615695729,
      -0.118831011816456,
      -0.167355611553376,
      0.00236737773897038,
      0.26672375661022,
      0.435989195339766,
      0.33764736491655,
      0.223174174338041,
      0.188244645092158,
      0.129469319709596,
      0.219028199511585,
      0.247557694096696,
      0.350609822835912,
      0.412283347505278,
      0.127760241159869,
      0.145472638325025,
      0.193500560226491,
      0.46151614378857,
      0.4576718121399,
      0.113853190944071,
      0.130204542841598,
      0.0877484676010951,
      0.30203674193574,
      0.3920966346588,
      0.281084401126429,
      0.0496733264408855,
      0.114221660880308,
      0.364775298916006,
      0.381847416349451,
      0.319715394674775,
      0.314732802548299,
      0.254039995337707,
      0.104782405875085,
      0.253744485874172,
      0.200315609253236,
      0.356781484206793,
      0.358437261189285,
      0.263059502266296,
      0.299444140462569,
      0.249506699157849,
      0.0843391403275489,
      0.168615470271367,
      0.340789583612285,
      0.208861341880938,
      0.267793120125381,
      0.240220188114763,
      0.307220908811823,
      0.236536994049179,
      0.0657645092988048,
      0.177328755332905,
      0.288391142638127,
      0.242689200571341,
      0.584564943699595,
      0.248784154607488,
      0.143719517619168,
      0.153932137080649,
      0.320578992512855,
      0.541736179580293,
      0.225189956702662,
      0.121883660615926,
      0.12122684652764,
      0.143772890814798,
      0.448644357635843,
      0.41213682836672,
      0.107627528533306,
      0.0984419761323115,
      0.231187323002325,
      0.45247562440859,
      0.223008648018868,
      0.20841982146297,
      0.21694305990188,
      0.490938990978901,
      0.490225775263033,
      0.188317107917662,
      0.0699661401112905,
      0.067470111873138,
      0.222996927184305,
      0.277996775259438,
      0.0711227438591328,
      -0.0653471077273073,
      -0.163966505207277,
      -0.169120697757831,
      0.0468286567169001,
      0.366681730129025,
      0.479027844775223,
      0.407528499885993,
      0.281644032621363,
      0.149345249050007,
      0.152139755994486,
      0.312833200758093,
      0.220433555405522,
      0.123291031239957,
      0.134177570399562,
      0.301215370974347,
      0.346779842971773,
      0.306117721372059,
      0.200665529319421,
      0.191027650932782,
      0.225907196038992,
      0.258007124955696,
      0.176549468569129,
      0.0147037986661364,
      0.200352603411702,
      0.247532536860341,
      0.249739334947287,
      0.0968584627769389,
      0.185280052248914,
      0.165607940460355,
      0.206875059600537,
      0.379257103242257,
      0.205282738033018,
      0.151837732227499,
      0.224426049665861,
      0.268438841821466,
      0.29754083823991,
      0.351877733635382,
      0.127625775532953,
      0.246874854653646,
      0.276891997987321,
      0.27300281037199,
      0.173767683281526,
      0.0625472816547973,
      0.342648560274846,
      0.322242290284645,
      0.481291831238838,
      0.471002650467721,
      0.286414054142238,
      -0.029532844592708,
      -0.0831608957552899,
      -0.125566451710109,
      0.395039997630408,
      0.323196933294503,
      0.211922487715787,
      0.28405805230847,
      0.0783498708541098,
      -0.156164995126777,
      -0.129894505414378,
      0.146250340378215,
      0.09139518856433,
      0.0525554108286606,
      0.291591491477132,
      -0.33449866744256,
      0.285875225407776,
      0.562595625123789,
      0.2395665673647,
      0.208009053184585,
      -0.158331461759924,
      0.326455602864862,
      0.2561271364598,
      0.19523187154202,
      0.433925157802131,
      0.309575589670921,
      0.0498523026536509,
      0.167709483278903,
      0.0372273514436953,
      -0.213418192391103,
      -0.00959444891999025,
      0.118173404738627,
      -0.120992022914838,
      0.109865625775102,
      0.0985541652491418,
      -0.127383172419694,
      0.395703590572589,
      0.310273931362797,
      0.211787908585585,
      0.0562107458169536,
      -0.0762037000695655,
      0.450993019804552,
      0.0128063769321506,
      0.413078627238838,
      0.389932973587176,
      0.307364709653148,
      0.228654412525687,
      0.210663526922669,
      -0.0813990650670078,
      -0.12681447515661,
      -0.056453878973984,
      -0.0347923977808523,
      -0.124386218233996,
      0.0140861445596857,
      0.071216485321836,
      0.0400479824285972,
      -0.00117716983430993,
      -0.193958795445731,
      0.110641042479277,
      0.167659958514124,
      0.181632283054465,
      0.0232639944541632,
      -0.10648556473441,
      0.274594318672713,
      0.125551900773934,
      0.253804391856108,
      0.194830633988491,
      0.13610761701606,
      -0.090314979000888,
      0.0168467385655931,
      -0.0746231797458691,
      -0.0435627245389075,
      -0.0332134713513495,
      0.0879028421231478,
      0.0175395429731017,
      -0.0665082022221527,
      0.0614157926106568,
      -0.0780742904409835,
      0.176962364154923,
      0.104247971005479,
      0.0834520413027852,
      -0.0250062942969643,
      -0.0558450436866424,
      -0.0495564507143318,
      -0.0555979943588575,
      0.0184081534542881,
      0.110458037125359,
      0.183953126976795,
      0.208605871199248,
      0.400177462624141,
      0.671521840815197,
      0.120891321285722,
      -0.184205454858149,
      -0.219165546475721,
      -0.255623583954383,
      -0.423016542461143,
      -0.266010862660699,
      -0.0874026754510761,
      -0.195931414032617,
      -0.3579302355655,
      -0.472989030223188,
      -0.186959886212464,
      -0.0707174014029567,
      -0.0479986393161055,
      -0.0234661608520956,
      0.0131965611144302,
      0.0828519089799258,
      0.0829648145188081,
      0.0773949656627332,
      0.0516445155072709,
      -0.00498994607879947,
      -0.0326598167476544,
      -0.0671066906314074,
      -0.0909078078150545,
      -0.0849803565874923,
      -0.128252122720624,
      -0.495533926623093,
      -0.354613556344938,
      -0.232150921751033,
      -0.241846272587889,
      0.0221837604597426,
      -0.0502268189807723,
      -0.058953008552569,
      -0.0589627492313309,
      -0.0273827490082012,
      0.0913017164987851,
      0.128060456664805,
      0.207563612348236,
      0.279864067949053,
      0.650845143213109,
      0.378893617310879,
      -0.124230827450186,
      -0.235026507649706,
      -0.188292397883428,
      -0.47392615752203,
      -0.217987308037877,
      -0.126561316775385,
      -0.172690410090038,
      -0.2488430712864,
      -0.668422970100221,
      -0.278191109243507,
      -0.00644186690936146,
      0.321021900522002,
      0.493134157814615,
      0.287529406966406,
      0.114431516340444,
      0.0673512739727595,
      -0.157229035980912,
      -0.21212554552852,
      -0.0392118112074434,
      0.112817038627641,
      -0.0313852678569856,
      0.185270498272847,
      0.146375554883122,
      -0.00190671604462055,
      -0.0532307669758116,
      -0.0221375783015484,
      0.115119364651456,
      -0.0989654079023629,
      0.0357983244045124,
      -0.0726136378637425,
      -0.0459039281631386,
      -0.0308300132014582,
      -0.0180530639429565,
      0.0504589057212301,
      0.132785819419003,
      0.185056318666773,
      0.217741540687552,
      0.514398007470967,
      0.617011546976031,
      0.00433831335559116,
      -0.207042188261634,
      -0.217577252781226,
      -0.367017238553614,
      -0.416909717074249,
      -0.103622032870612,
      -0.082087170591129,
      -0.216056550742462,
      -0.455488684096439,
      -0.357056367889102,
      -0.120076138889367,
      -0.0547396364277157,
      -0.0490394996053945,
      -0.00287957530148657,
      0.0564920644214161,
      0.0801010998022819,
      0.0706451012068256,
      0.067268609613753,
      0.01718656962764,
      0.0289878879653006,
      -0.0680556970643563,
      -0.0780861555575495,
      -0.0884762398982862,
      -0.00116634976875397,
      -0.1865112589772,
      -0.438703882424009,
      -0.332511063442975,
      -0.341418376066075,
      0.0831919777803662,
      0.0166457444138758,
      0.057699773776977,
      0.351953339457337,
      0.358517972949909,
      0.344338702625924,
      0.0918876227483444,
      0.120614879218013,
      -0.124948914098318,
      -0.0926474584362956,
      -0.0999977378936541,
      0.0102924353347638,
      -0.0521549889978831,
      0.0549341096753358,
      0.0342454197021241,
      0.0512756521927958,
      -0.118605183740268,
      -0.0446618488099402,
      0.193949672503964,
      0.135248687341277,
      0.131445967466576,
      -0.132601659535658,
      0.163569856731575,
      0.182817663519416,
      0.0975580437838378,
      0.345207014037807,
      0.148057134158661,
      0.00796120196489674,
      -0.0574006267429158,
      0.0158180434057608,
      -0.0995266578774209,
      -0.0325053208617725,
      0.0474551374300332,
      0.0528088007545803,
      -0.0583976773900282,
      -0.0214584070399807,
      -0.01064445963301,
      0.0982468204585538,
      0.162183939431417,
      0.110120549035262,
      -0.0446401763100166,
      -0.00145358249470754,
      -0.0616221696776896,
      -0.0576602777664225,
      -0.0289669648462464,
      0.0716176274502833,
      0.116902924732697,
      0.195590532477547,
      0.252566420632617,
      0.611830187540718,
      0.472509193775458,
      -0.0863441329384234,
      -0.225405709996352,
      -0.202134821151249,
      -0.475766486607336,
      -0.26338423017172,
      -0.149334405545792,
      -0.133530706726474,
      -0.243910806739705,
      -0.514425506176324,
      -0.279400970146511,
      -0.092017828511511,
      -0.0617015393660826,
      -0.0670850411220053,
      -0.00839514549463925,
      0.0971989957515294,
      0.082035908142642,
      0.0709111861090476,
      0.084370269608815,
      -0.0120443235222292,
      0.0238727612120938,
      -0.0811964754247384,
      -0.0755152351987356,
      -0.0340483851864167,
      -0.0670981191126985,
      -0.301819816207015,
      -0.431605604237606,
      -0.23235636709523,
      -0.203825111972952,
      0.00434547757726685,
      0.0436338237390986,
      -0.0648949127441361,
      -0.0487705453659019,
      -0.0268757671989844,
      -0.0154071600598486,
      0.119267527130056,
      0.178507484495826,
      0.215843620216907,
      0.460783269251777,
      0.592738115468665,
      0.0635451022082848,
      -0.191151589292195,
      -0.222120158749879,
      -0.319431998915833,
      -0.422455788786796,
      -0.124380534602287,
      -0.0862887504943692,
      -0.221896159620865,
      -0.418995036136162,
      -0.493245247118916,
      -0.237550814539838,
      0.254942625325915,
      0.40460000758334,
      0.380295283893219,
      0.208253768823543,
      0.0973363629429044,
      -0.0730149750022828,
      -0.206847456757434,
      -0.126748507057832,
      0.0461366151654826,
      0.0049829496666164,
      0.147171471863606,
      0.157465892098797,
      0.0307091329236628,
      -0.0161426520857675,
      -0.049015189769838,
      0.0757573421813679,
      0.0442008348494683,
      0.05819941225418,
      -0.107468368002957,
      -0.0766762200360241,
      -0.0379432934659244,
      -0.0402638486839214,
      0.047389947325308,
      0.111412084999684,
      0.157247040316656,
      0.194593129697058,
      0.287576489651412,
      0.71929279886608,
      0.270779085649188,
      -0.145588143156069,
      -0.239938880897646,
      -0.210559502839391,
      -0.536504533610835,
      -0.162722702666453,
      -0.0792893051050898,
      -0.177586531709251,
      -0.27285772113032,
      -0.5459060762348,
      -0.166713823228899,
      -0.0719744881837316,
      -0.0393624519786632,
      -0.039063539691511,
      -0.000166120734728994,
      0.0988970274284998,
      0.078794268068089,
      0.0569887006458598,
      0.0550044871698257,
      0.0218310134693824,
      -0.0257569916067143,
      -0.0703937157916351,
      -0.0964745989963378,
      -0.0194566355991843,
      -0.0715818698198134,
      -0.378009302995499,
      -0.398740946039757,
      -0.304362454588828,
      -0.1295291854861,
      0.0662288521743936,
      -0.0265694610117152,
      -0.0630432174406741,
      -0.0481170364905131,
      0.00566955386594085,
      0.141022343487566,
      0.0819998659444007,
      0.173406289759415,
      0.217008867621197,
      0.506732463357726,
      0.431110482262866,
      -0.0568947922449638,
      -0.21168539655362,
      -0.185193861895894,
      -0.384113392714408,
      -0.302599291701422,
      -0.17894909333637,
      -0.0769613101867232,
      -0.198376582884621,
      -0.513800075183366,
      -0.363821100446831,
      -0.0889659871088789,
      0.298585656150914,
      0.127542855466173,
      0.255726368407235,
      0.203758643246899,
      0.130693951547638,
      -0.0974577348402497,
      0.0168874685978046,
      -0.0785238574116383,
      -0.0280929980507163,
      -0.0282556368467183,
      0.0661501338345558,
      0.0183636265209159,
      -0.0632991345073016,
      0.0696327693728666,
      -0.096125352101625,
      0.178827595480155,
      0.0757831960435931,
      0.0626577832706395,
      0.0636909282835781,
      -0.0615837676828949,
      -0.0472162649371247,
      -0.0676251234680352,
      0.0080336460205467,
      0.0900160286597705,
      0.183004700274171,
      0.203471754873703,
      0.404516072772534,
      0.672209936679882,
      0.116350441195827,
      -0.19304432561122,
      -0.231310137647079,
      -0.287667164218387,
      -0.553997712754755,
      -0.27030090844975,
      -0.104436800238374,
      -0.206136793234375,
      -0.386867174511936,
      -0.54799811884194,
      -0.14716669427201,
      -0.0623971160935732,
      -0.0573904191910807,
      -0.0508328746479932,
      0.0208691263353429,
      0.0851663204172765,
      0.0737163904478606,
      0.0693213861960337,
      0.0367501216210889,
      0.0351114618763916,
      -0.021405480865471,
      -0.0759298467364075,
      -0.0626365884182642,
      -0.0437698202169433,
      -0.130699561377162,
      -0.489898774945025,
      -0.463229626223818,
      -0.355697575608635,
      -0.227891896881324,
      -0.0947431626810484,
      0.096912007117404,
      0.283552443593039,
      0.254361179753072,
      0.132523812085167,
      0.0928074527879908,
      0.232948672291444,
      0.165373505776996,
      0.0151112197110017,
      -0.0197897774949563,
      0.0752399449397296,
      -0.0165403443599006,
      -0.0353578281298579,
      -0.046572056018721,
      -0.0513370564453189,
      -0.104639653631701,
      -0.0756422687182867,
      0.0283356763739387,
      0.181684540099965,
      -0.1180704346486,
      -0.0365580372772638,
      0.219691046509316,
      0.269345478552579,
      0.280382358269875,
      0.0631727081648618,
      0.196729807788403,
      0.084008446272282,
      0.0749315822631876,
      -0.00925027980876958,
      0.145209859794034,
      0.0360890068016512,
      -0.0287699165923418,
      -0.0856660216855751,
      -0.0563165577436976,
      -0.0636190475335548,
      -0.0685903306175637,
      -0.0752377106646533,
      -0.11952320116551,
      -0.105638510621511,
      0.0158428381809889,
      0.0415128435493811,
      0.0416394665962324,
      -0.0430926961675025,
      0.0857073937113074,
      0.154460387300802,
      0.21130439597938,
      0.0496697405811949,
      -0.0237137452984435,
      -0.163809891550678,
      -0.331312863330209,
      -0.148566581215287,
      0.0263428410482862,
      -0.167118717385944,
      -0.0403845048972592,
      -0.147890705420945,
      0.00911912597534432,
      0.00755316758391884,
      -0.102627687780023,
      -0.0314139785247093,
      -0.106778900279742,
      0.0528076343482477,
      0.0981691755733718,
      -0.0369955327935427,
      -0.167527977911771,
      0.0691470615926073,
      -0.302726855646311,
      -0.237043846232365,
      -0.0979288688999675,
      -0.202098500730846,
      -0.326663531360485,
      -0.0380525589786643,
      0.0664152430312641,
      -0.274832454951705,
      0.0519742398480923,
      -0.0819372872649368,
      -0.131179588575458,
      -0.119918305025022,
      -0.168347079668698,
      0.0123162081841238,
      -0.0513822211311887,
      -0.0701814106870165,
      0.040438247985235,
      0.0734928543179117,
      0.026830321762897,
      0.0907618520532883,
      0.0685480382897637,
      -0.0323404920372769,
      -0.231159448962221,
      -0.165441467685147,
      -0.13493603360139,
      -0.0924686689256273,
      -0.0847878156524824,
      0.262294507198944,
      0.216086340739832,
      0.264128890417327,
      0.173682182005902,
      0.234572176751774,
      0.203165917201284,
      0.137033088673151,
      0.119491554506105,
      0.157981850720824,
      0.222014653351546,
      0.0828883194601166,
      -0.211335975047231,
      -0.102752088930563,
      -0.0137236885798067,
      -0.0519848403002205,
      -0.206920244366985,
      0.119134788455343,
      -0.103761496043089,
      -0.0988768524005933,
      -0.0438928807942957,
      0.37365631375395,
      0.0376479124008264,
      0.245387159022378,
      0.155685404145163,
      0.211660405776752,
      0.221273893880449,
      0.105519804002907,
      0.0737133880175022,
      0.0646264545588357,
      0.228088796362604,
      0.327154763390093,
      0.29689472123299,
      0.589075902231688,
      0.197820665431743,
      0.0616579994322323,
      0.0646173969799355,
      0.0651337602465069,
      -0.00232758529596401,
      -0.11529870789141,
      -0.0325029863119236,
      -0.0576783340505453,
      -0.0823629854931283,
      0.0193744716677624,
      0.224749534866109,
      0.0573524794599027,
      -0.0518370473137781,
      -0.0950903773994859,
      0.0367942787706723,
      0.177860567707149,
      0.259761924901543,
      0.264056759334471,
      0.491979235841994,
      0.51965804533232,
      0.0516903836503447,
      -0.247222884912187,
      -0.269042257463611,
      -0.524248458854221,
      -0.527931358141365,
      -0.0538657113202518,
      0.208137599148219,
      0.377218181569891,
      0.337887526404361,
      -0.0242814785255837,
      0.00350826632037998,
      0.110433050798709,
      0.0192972484120968,
      -0.0173968377592952,
      0.150979373926052,
      0.144962428279817,
      0.299282358635195,
      0.273103537254854,
      0.578887939746907,
      0.356382204051139,
      0.0710664273498452,
      0.0635791119638695,
      0.0670711174276974,
      0.0195310492370395,
      -0.0640264282937233,
      -0.0498466848321703,
      -0.0501493650586953,
      -0.0710148443502313,
      0.00955900117273861,
      0.14939765431912,
      0.0509840745717062,
      -0.030235402238516,
      -0.0738842145726142,
      -0.0284401729029407,
      0.141189868192486,
      0.125489946264799,
      -0.02931037640707,
      -0.102683424516377,
      -0.112654390543719,
      0.0886161703767253,
      -0.158486427850415,
      -0.153128342759117,
      -0.184410658280495,
      -0.0998313681843627,
      -0.23859529585791,
      0.114047835291301,
      0.162751841287764,
      0.0314994686701026,
      0.055896831367497,
      0.0461201331796785,
      0.0862775229950649,
      -0.010380962076956,
      -0.108369259607285,
      0.0129126701975775,
      0.135243519785107,
      0.253535913432014,
      0.315653280306903,
      0.425755893501714,
      0.549419805659058,
      0.114604011246795,
      0.060952544533953,
      0.0580154634108119,
      0.0307158238775482,
      -0.0428451704578796,
      -0.0706500213915305,
      -0.0373989876425299,
      -0.0677485804600186,
      -0.0808822174271491,
      0.0724961978413968,
      0.1089986052396,
      0.0073541856841937,
      -0.0566284349167241,
      -0.0779897811525883,
      0.0839256673247993,
      0.162807597809475,
      0.252883830866452,
      0.265068756716607,
      0.534872406893792,
      0.264862816713333,
      -0.107144264402664,
      -0.264614960242222,
      -0.272246834145568,
      -0.640450669518684,
      -0.396265065487862,
      0.0932500161890445,
      0.194083714042071,
      0.52297052613104,
      0.244374340325942,
      -0.0393828579540478,
      0.0264906854985993,
      0.0787959504683584,
      0.109289907142994,
      0.023617845412734,
      0.149227528422911,
      0.0903426354944155,
      -0.0480933444689766,
      0.0737246476294371,
      0.0264848193295629,
      0.0313240207977087,
      -0.144204119932785,
      -0.131050652644245,
      -0.169965436581164,
      -0.090017520062821,
      -0.133477534961577,
      0.110466327329636,
      0.196121806570819,
      0.255407009616137,
      0.172651714249638,
      0.239396278274804,
      0.221149978463103,
      0.110146313117223,
      0.191811550009484,
      -0.0141098914630465,
      0.326937848954452,
      0.123966804619115,
      -0.0646727015801134,
      -0.21805510573546,
      0.0605684622096187,
      -0.0513218675147739,
      -0.185640552653183,
      -0.0200911241522896,
      0.10821778801319,
      -0.234126123253979,
      -0.186897696803981,
      0.317316898641869,
      0.323258794577907,
      -0.0277285583376851,
      0.217367307134609,
      0.144975923627746,
      0.272742604799421,
      0.170365203157814,
      0.0615173566122172,
      0.0551305357916981,
      0.104381896042424,
      0.284576898847131,
      0.289806509486896,
      0.534965671684697,
      0.419440557707401,
      0.0807716039993746,
      0.0603832896297477,
      0.0699822980160586,
      0.0354111073315934,
      -0.0901152811065128,
      -0.0585413877606686,
      -0.0406420749106404,
      -0.0750261125557446,
      -0.0417994881116234,
      0.127954989852636,
      0.0829029063588015,
      -0.0344609542081529,
      -0.0793290801240349,
      -0.0251316573271136,
      0.14779757792759,
      0.197717874993824,
      0.269697768253948,
      0.29540638338758,
      0.62652157554057,
      0.293284956538983,
      -0.198673383178639,
      -0.28050356885351,
      -0.291015755701625,
      -0.654501316337536,
      -0.295736664805485,
      0.18126961752896,
      0.211661636018119,
      0.524548966333798,
      0.116126094574002,
      -0.0336364207437685,
      0.109756369192293,
      0.109363436295164,
      0.0314984551762212,
      0.0526260357814841,
      0.00159595564938045,
      0.252686527887907,
      0.322473188897848,
      0.346851307101397,
      0.534422968322822,
      0.170640456296461,
      0.0555791084060579,
      0.0619795606773797,
      0.0470312891562758,
      -0.00639117358153664,
      -0.0871532975241577,
      -0.0322484929052894,
      -0.0573608508997007,
      -0.0744369352530785,
      0.0297878133081315,
      0.113954510217132,
      0.0362930390520036,
      -0.0457784187062173,
      -0.0690771922251427,
      0.0786560510066915,
      0.176959717532468,
      0.0286324023517037,
      -0.0601669257553757,
      -0.15824487879268,
      0.0346976469816556,
      -0.00152784750709692,
      -0.18252628022096,
      -0.183953555709719,
      -0.163033006154133,
      -0.134726699051857,
      -0.119684721268216,
      0.170052393050024,
      0.149849164628183,
      0.136318860197466,
      0.0111495331684665,
      0.0101765243284449,
      0.0578869721536545,
      -0.0758516194670557,
      -0.0308840639485324,
      0.0602735293533186,
      0.159893683049033,
      0.307140967503078,
      0.267062446734657,
      0.651844556251278,
      0.284062473589814,
      0.0651055131095691,
      0.0649597179859243,
      0.0568160871593505,
      -0.00174369975093736,
      -0.0805680875049715,
      -0.0516601120740612,
      -0.0546826619991973,
      -0.0946402988404335,
      -0.00979566319257984,
      0.139032868961131,
      0.0460530658574025,
      -0.0494183867035286,
      -0.0914978255262974,
      0.000108473484757784,
      0.160404557938973,
      0.23621462847176,
      0.248491936071475,
      0.366609937423674,
      0.45792605047201,
      0.0559997301657049,
      -0.228718707858117,
      -0.276295761011873,
      -0.392928849583786,
      -0.577952061373467,
      -0.154164891195956,
      0.201272196039639,
      0.30487910727603,
      0.519953259608538,
      0.00938545544417156,
      -0.0384247774499649,
      0.0753140987944518,
      0.10070194911716,
      0.00658806254477218,
      0.0944090581503266,
      0.141712018601957,
      0.267310527693521,
      0.282857538419446,
      0.346065129891989,
      0.373578443303282,
      0.0252120538549713,
      0.0542502910791457,
      0.0782159637254429,
      0.0548913564986942,
      -0.0376615203580303,
      -0.0423042466889726,
      -0.0187257529701853,
      -0.0620662328487721,
      -0.0297898423810012,
      0.0669954793274228,
      0.047801015413461,
      -0.0376888802392827,
      -0.0643885081852219,
      -0.0567101105866407,
      -0.0354694280655011,
      0.0593800036287525,
      0.129460518767713,
      -0.210221929481818,
      -0.100051291443624,
      -0.009402474528794,
      -0.0498458516925079,
      -0.251370883777646,
      0.118375001487643,
      -0.105059301798764,
      -0.0988775446540588,
      -0.0294926316506341,
      0.391213225913346,
      0.0363868768622169,
      0.246273055710856,
      0.166980319648175,
      0.238580470406347,
      0.225987616255249,
      0.257753851998176,
      0.136251010062877,
      -0.119735699794356,
      0.222046362233387,
      0.320618363679225,
      0.320324217539049,
      0.61338975085286,
      0.169569221536104,
      0.0659874963001529,
      0.0653856881979801,
      0.0585215001725566,
      -0.0110832614813381,
      -0.106442687567119,
      -0.0355433898723378,
      -0.0596541037665444,
      -0.0959349478199731,
      0.0264593583385365,
      0.103189801107033,
      0.0276564058556166,
      -0.0553264183608043,
      -0.0961194098654706,
      0.0238412937395413,
      0.133183816783943,
      0.250325971272497,
      0.266924043186546,
      0.549839407508192,
      0.49375763082032,
      0.0486127806645353,
      -0.253838100155959,
      -0.27271879553776,
      -0.536080133765071,
      -0.533104802544404,
      -0.0532449467421098,
      0.202455451012249,
      0.402739308258082,
      0.497536051599554,
      -0.0269673226088276,
      -0.00555378388123135,
      0.16352028278563,
      0.124336681903183,
      -0.0914960061293911,
      0.00833357374048097,
      0.147691147560074,
      0.0406141324038468,
      -0.0535649921603053,
      0.126512770955645,
      0.106511627166707,
      -0.128228835661586,
      -0.198054520350482,
      -0.365048064177217,
      -0.340944351592989,
      -0.210735593326939,
      -0.00570448423681656,
      0.169919414289369,
      0.172698463320362,
      0.209260257482322,
      0.217032663219234,
      0.267933265475257,
      0.251619456072726,
      0.237114530667447,
      -0.348140732016162,
      0.151387667105305,
      0.14404015471516,
      0.0467048938863587,
      -0.00272798865451631,
      0.214930855077318,
      0.0153282252897032,
      -0.167213231374874,
      -0.29379770514477,
      -0.367499523755929,
      -0.259069349744981,
      -0.222529965709829,
      0.0949540512447559,
      0.0902171902510957,
      0.334705507660776,
      0.249735319460292,
      0.403851636120276,
      0.353402616476638,
      0.461994815448984,
      0.469691636431338,
      0.308809402798394,
      -0.0333170169520724,
      -0.015695115792803,
      -0.0724336212781006,
      0.0866432310727388,
      0.0592264960657615,
      0.0325200083493595,
      0.0674009876662454,
      0.0142923129738091,
      -0.0713672662822443,
      -0.12722288609366,
      -0.00654803257836933,
      0.00638738087246473,
      -0.00844827739532973,
      0.0304810739409034,
      -0.117818592382636,
      0.0450152495639817,
      0.0467985130426079,
      0.0167952703642643,
      0.0421633648941182,
      -0.0521750097556263,
      0.0506616548605906,
      0.0165424081611746,
      -0.0205776192402649,
      0.0695721983124707,
      0.0566687599006091,
      -0.0110350437900552,
      0.023024098468392,
      -0.00482841782975631,
      -0.145972572201958,
      -0.10191269415279,
      0.01778562689283,
      -0.0449861632616614,
      -0.0014141646597498,
      0.00594333917546458,
      -0.0323648449358179,
      0.0103952479948315,
      0.00603942591606533,
      0.00379305899577422,
      -0.00878808557325009,
      -0.0171732715399917,
      0.0138871215375587,
      -0.0621092672606443,
      0.0630790305738139,
      0.0482611770866908,
      0.0641585882666528,
      0.00415301444429003,
      0.0738598009686191,
      -0.0605996064408762,
      -0.09450490766084,
      -0.0612414138453486,
      -0.0295953806454354,
      -0.0915818329502397,
      -0.101411357512309,
      -0.0577362836354002,
      -0.0178858255701708,
      -0.0521192844745364,
      -0.123344968346783,
      -0.0963823888902932,
      -0.0391011455672443,
      0.0240020118964848,
      -0.0504483958813751,
      -0.0801959833089478,
      0.0303867143416398,
      -0.0588283914505665,
      -0.0272898474836344,
      0.0214319160055502,
      0.0326622740287488,
      -0.0132189502402607,
      -0.022597072332136,
      -0.0608709719449655,
      -0.0373722398174816,
      -0.0522048423435888,
      -0.109695743476112,
      0.0123239798430602,
      -0.00336634153823774,
      -0.0578139901989766,
      -0.0935136685790896,
      -0.0344716684140882,
      -0.0588700320706843,
      -0.0575247867348059,
      -0.0673488380160269,
      0.0426455546051989,
      0.0312437737924931,
      0.0412085411766575,
      -0.00213783368290045,
      0.0266657389674646,
      0.0323233622864778,
      0.0479405619746609,
      0.128632012946929,
      0.265035603338297,
      0.0531860299745491,
      -0.0768634127316812,
      -0.0951356650970858,
      -0.102249566141603,
      -0.167529092496282,
      -0.166447465281443,
      -0.0498184054847742,
      -0.0793701994511405,
      -0.139890673712186,
      -0.196286833533136,
      -0.0920846573506641,
      0.0370555280005752,
      0.0341272927765341,
      0.0377594126154141,
      -0.00866659370415546,
      0.029820121203987,
      0.0529119192334247,
      0.0720514259813153,
      0.179496312626765,
      0.188655283477162,
      -0.00253663146661069,
      -0.0743589348571964,
      -0.170719701385803,
      -0.179359142388548,
      -0.0532120655771902,
      -0.212574136360104,
      -0.190019915869418,
      -0.127521372482275,
      -0.0972440792306257,
      -0.0405209780797077,
      0.00984773225698261,
      0.0419547190006572,
      0.0385269193354626,
      0.00588477568287036,
      0.0222189513377937,
      0.0181316912724623,
      0.0434602027256202,
      0.079275403330162,
      0.245016967151855,
      0.145419268924015,
      -0.0446211788229589,
      -0.0992373456486102,
      -0.0761331423545177,
      -0.191067679883946,
      -0.117402027595831,
      -0.0732895370594327,
      -0.0673063652516273,
      -0.10095428395343,
      -0.268468256795161,
      -0.147534841155537,
      -0.0363948042760095,
      0.0788589022643054,
      0.0886741395709871,
      0.0486920228841204,
      0.0418800033602804,
      0.0195107567018838,
      -0.0667694118974813,
      -0.0944533623212166,
      -0.0531152812448144,
      0.00602766913542604,
      -0.0800727590241697,
      -0.0795881674746137,
      -0.0442217966561673,
      -0.00387169153280801,
      -0.0150065019002317,
      -0.0211075136196023,
      -0.0240064776639084,
      -0.00225850218447106,
      0.00637653510708914,
      -0.0406190039416492,
      0.0410080239433417,
      0.0337789013356425,
      0.0426331534962213,
      0.0145272405082023,
      0.0291136668974856,
      0.0331868913275163,
      0.0516470233911486,
      0.174968727502806,
      0.246159085233619,
      0.00568604146554057,
      -0.0884212122676636,
      -0.0886474609954053,
      -0.150574984523055,
      -0.196192991521403,
      -0.112655348064491,
      -0.0392341306972572,
      -0.0876018473035453,
      -0.185187028313744,
      -0.182003620565457,
      -0.0250163248350527,
      0.0382627102199815,
      0.0363384273973666,
      0.0215818836359727,
      0.0158035727632925,
      0.0196893862256467,
      0.06243201270011,
      0.0573986793383045,
      0.235555048290281,
      0.147338057678483,
      -0.040047621157864,
      -0.0710382822963413,
      -0.226238718571875,
      -0.113462647595319,
      -0.0796998453565508,
      -0.203117009022196,
      -0.180156447114261,
      -0.145564729332943,
      -0.0550364398349501,
      -0.059422133332708,
      -0.032037832810482,
      0.0210276418921231,
      0.047716828103826,
      0.0467604220470472,
      0.0378587306223424,
      0.0088971507300807,
      -0.0819303417043581,
      -0.0894093728919232,
      -0.0612827581707624,
      -0.0242735915026005,
      -0.0961690848970713,
      -0.0665424897302922,
      -0.059077056580235,
      -0.00491812406077909,
      -0.106576749488444,
      -0.104877184184876,
      -0.0584344675498112,
      -0.00202654992407274,
      -0.00980897218538649,
      -0.11500108380954,
      0.0204298199052018,
      -0.0171932221077723,
      -0.0658923638087094,
      0.0149842162620128,
      0.0247471215488345,
      0.0164427046297343,
      -0.0194974355755525,
      -0.0140602335676795,
      -0.0934341917396784,
      -0.0101798105454466,
      -0.11630962411889,
      -0.0511675376627949,
      0.0349253430536314,
      -0.0296316860657441,
      -0.0895776202220003,
      -0.0596834041976608,
      -0.047075694032868,
      -0.0700073364656802,
      -0.0677792189276204,
      -0.00477321450217664,
      0.0428879683417323,
      0.0363102368059698,
      0.0193668074814769,
      0.0133607187245622,
      0.0205502171856437,
      0.0391055915451357,
      0.0687254746292144,
      0.22356071710849,
      0.186454306060812,
      -0.0279377499254114,
      -0.0949819215237067,
      -0.0828368006368071,
      -0.19165859006014,
      -0.156129444998277,
      -0.0644700618997986,
      -0.0520333267599347,
      -0.0974337607154742,
      -0.208976679419981,
      -0.170068132587398,
      0.0206709479332999,
      0.0346175163052271,
      0.0401183935385503,
      0.000145876412359752,
      0.0307733918894046,
      0.0355320760342665,
      0.0761352290344124,
      0.0754665420103423,
      0.245141730860394,
      0.080939249128107,
      -0.0681740962962427,
      -0.0779323204564173,
      -0.239373949673942,
      -0.0718845455365865,
      -0.131311251668438,
      -0.21058645533706,
      -0.144110644494473,
      -0.112366549295679,
      -0.0162834468818837,
      -0.00761289114532864,
      0.0403937306234422,
      0.0303292651313806,
      0.0412557630214365,
      -0.0181558504953049,
      0.0266450273305854,
      0.0342963242969212,
      0.053682530276609,
      0.152054272684876,
      0.235678085339227,
      0.0281503332489828,
      -0.0811740112420497,
      -0.0924079009835997,
      -0.126900491862883,
      -0.183681827596655,
      -0.0777053663234792,
      -0.0421558748285758,
      -0.0883664285200816,
      -0.17235566477892,
      -0.210800108686008,
      -0.13723609560075,
      0.0610679952802177,
      0.0803783409261795,
      0.0723750122558906,
      0.0372661717390832,
      0.0535828239985611,
      -0.0340836469304923,
      -0.0834953329988887,
      -0.0871621965099747,
      -0.00519802176174179,
      -0.0504897799643667,
      -0.0691810937941961,
      -0.0550962948058092,
      -0.05035055900911,
      -0.00272695337518316,
      -0.00316502297406696,
      -0.0200106305988174,
      -0.0207212429042981,
      0.0372828947089498,
      -0.0606248851553843,
      0.0170011895470387,
      0.0398922189961723,
      0.0456137127420489,
      0.0197984358294592,
      0.0294488452768819,
      0.024320509593584,
      0.0417460998951076,
      0.0826939372551421,
      0.280867335836553,
      0.106939373172312,
      -0.0575123567321713,
      -0.103256217532583,
      -0.0843914535347398,
      -0.222912810705621,
      -0.138768310366235,
      -0.0631814724058674,
      -0.0696715257857417,
      -0.1075141965519,
      -0.22950662194031,
      -0.108721685359423,
      0.0339254371528531,
      0.0333504831986787,
      0.0412832343195032,
      -0.0002381571014889,
      0.0276794872767074,
      0.0441325004955161,
      0.069390795128958,
      0.106309623045816,
      0.241165651628311,
      0.0335602727344596,
      -0.076809727693461,
      -0.121367323321459,
      -0.219007328675819,
      -0.0473058992254329,
      -0.168115882092552,
      -0.204613330641995,
      -0.153116227875556,
      -0.0854786558978464,
      -0.054295021660765,
      -0.0250189815691821,
      0.037138142458015,
      0.0230862293806614,
      0.0104254066272886,
      0.0121614876466953,
      0.00667303176010166,
      0.0388040002199347,
      0.0572352378874797,
      0.18472701547632,
      0.157871506700052,
      -0.0171955897561,
      -0.0983440746152533,
      -0.0796727437820878,
      -0.144109129427517,
      -0.149209777582294,
      -0.103293797386101,
      -0.0374614723814956,
      -0.0863820244668318,
      -0.207359501236881,
      -0.186873851483195,
      -0.0722797898026989,
      0.0513175018115987,
      -0.0579951863668088,
      -0.0254638472444624,
      0.0182837797571043,
      0.0323460970448037,
      -0.0106007264243731,
      -0.0231751321261448,
      -0.0617064916349186,
      -0.0352114610484367,
      -0.0526859584259064,
      -0.114514217111535,
      0.0119200472655772,
      -0.00578566060270531,
      -0.0586803017650466,
      -0.0988116390336713,
      -0.0341226172416964,
      -0.0949293858202711,
      -0.0654522394534395,
      -0.0323935528962423,
      0.0409445059348644,
      0.0315820196007577,
      0.0439521599348272,
      0.00287306661247204,
      0.018636445273875,
      0.0331778789006985,
      0.0485632533733331,
      0.125727067888012,
      0.261856886431023,
      0.048258092846999,
      -0.0793960063321145,
      -0.0965816206032083,
      -0.110481661574625,
      -0.222171648139505,
      -0.122638317278804,
      -0.0424104983154541,
      -0.0807745160099338,
      -0.150385683786084,
      -0.232878804645525,
      -0.0703193282910132,
      0.0326938832208839,
      0.0310389934391932,
      0.0344220111104945,
      -0.00367408651626609,
      0.0292589930595235,
      0.0526485163026512,
      0.0708823632389776,
      0.178890564133323,
      0.208277739294091,
      -0.00587072152323795,
      -0.0763310044009649,
      -0.167224707665921,
      -0.191206459277747,
      -0.0563457808249726,
      -0.20482733751796,
      -0.229292032009336,
      -0.182022586092527,
      -0.0277492417833829,
      -0.0261332994175757,
      -0.0537114492245256,
      0.0889540165711596,
      0.129466349435347,
      0.0870873781921916,
      0.0495010708900057,
      0.0645934104780441,
      0.0227991487331238,
      -0.0196621853720656,
      -0.00540431589707972,
      0.0190131240998326,
      -0.0412926806319976,
      -0.0628659124678213,
      -0.0613988728799952,
      -0.0334352841620694,
      -0.0862836641498822,
      -0.0912043329247194,
      -0.0799540976610464,
      -0.00322511226336725,
      0.138863942210464,
      -0.0874193001308334,
      -0.00775979422133573,
      0.12394867177286,
      0.103471554367187,
      0.0620507265797167,
      0.0474153799845126,
      -0.0330073934002338,
      0.000728387510630517,
      0.00195945636586091,
      0.0509640595009183,
      0.00655796335387871,
      -0.0462174921174814,
      -0.0607938236145504,
      -0.0693726081100741,
      -0.0448224000093664,
      -0.134535596301672,
      -0.123459832690563,
      -0.185062601148478,
      -0.184509435484768,
      -0.111040727658281,
      -0.00695474235450665,
      0.00365560102007148,
      -0.0044005947636005,
      0.107106409733091,
      0.0969771274050311,
      0.0650339194564267,
      0.0517868136669946,
      -0.0054329652092417,
      0.00756771915913089,
      -0.0112376796210232,
      0.0280050037110489,
      0.0395095680896511,
      0.018642748824371,
      0.0820476301157266,
      0.0217867738079397,
      0.00326863758220783,
      0.230476078100065,
      0.0794685862365212,
      0.0757833299820366,
      -0.00150484489116371,
      0.0764487801189782,
      0.0954761863840388,
      0.102753962498455,
      0.148159674569948,
      0.0800103975071303,
      -0.107613265503001,
      -0.0269749771877085,
      -0.0466716379870709,
      -0.0385469489185595,
      -0.00980109905668073,
      0.0085084855912227,
      0.00986844745930014,
      0.0280516088274224,
      0.0635919274792488,
      -0.0195710239797838,
      0.118519668890018,
      0.161091681575051,
      0.082626047109835,
      0.0479149437867785,
      -0.0272536033998737,
      0.17980277603738,
      0.0715747007426219,
      0.182469312751611,
      0.183437347362634,
      0.10651078182901,
      0.111135767600121,
      0.0248048815497211,
      -0.134555848621889,
      -0.0868653617900542,
      -0.0522709529339747,
      -0.0875048793418118,
      -0.101396047826265,
      0.0879227745255893,
      0.0763870367110115,
      0.0512865862172284,
      0.0487408774731195,
      0.021231134984036,
      0.130852760893209,
      0.111225657217395,
      0.0466676997409896,
      0.0504687745656231,
      0.0500035707311366,
      0.154270875948049,
      -0.00757468960205922,
      0.0822827844526205,
      0.0615565826989431,
      -0.0160158857767131,
      -0.0989371639515617,
      0.0457772260025195,
      -0.0210869207333532,
      -0.0522915762434498,
      -0.032786481544901,
      0.05159846394031,
      -0.0417981133794191,
      0.063413641918161,
      0.0725226918264574,
      0.0502609263446615,
      0.173778951213164,
      0.115456103386096,
      0.0551895934905885,
      0.0257414547824843,
      0.0915312035317803,
      0.139090170716589,
      0.115184224153546,
      0.269831758317557,
      0.091749961512284,
      -0.0651370722296475,
      -0.0652418063751525,
      -0.115670658661826,
      -0.164807978511793,
      -0.0724473247242191,
      -0.00419149611664197,
      -0.00494866012975565,
      0.00399305815988987,
      -0.0873550259485599,
      0.00205212411265569,
      0.000755463493927661,
      -0.00295115932443793,
      -0.0255931475584581,
      -0.0906667976326323,
      0.00787492011726298,
      0.101181473918556,
      0.108297470097348,
      0.221850446528917,
      0.236116233570256,
      0.055634468096087,
      -0.0737726361320875,
      -0.078671837160013,
      -0.134111128687071,
      -0.148315672528027,
      -0.0402879407046287,
      0.00281487816188451,
      -0.046186021644723,
      -0.0802801102573775,
      0.00407534229868157,
      -0.0681791998432122,
      -0.0567560603656004,
      -0.0260466538486945,
      -0.0201686636329859,
      0.0501805544586715,
      0.0457831146802138,
      0.127008501961448,
      0.104418896133977,
      0.266104620843054,
      0.17437225977688,
      -0.0313217571056098,
      -0.0703043937342418,
      -0.0812616616258219,
      -0.166034300833959,
      -0.102783286572875,
      -0.00224002593504113,
      -0.0109044475255652,
      0.0104993917661421,
      -0.0611085693993108,
      -0.0226283325528241,
      -0.0174095530245124,
      0.0109165304974461,
      -0.00813163368851822,
      -0.122246570454834,
      -0.0284874395977588,
      0.0480023494442187,
      0.099955733469558,
      0.132742192467893,
      0.0412397530816904,
      0.05858460100602,
      -0.0455489900213535,
      -0.0816153235981026,
      -0.0887891760065461,
      -0.0129580011943732,
      -0.0662421091785339,
      0.0117498183839494,
      0.0982474488898942,
      0.0896900225933976,
      0.0603685531812995,
      0.00411408364059187,
      0.0162952367403602,
      -0.0202613393658549,
      -0.0361830853022157,
      -0.00782917296666992,
      0.0198548095633491,
      0.102598686909894,
      0.133301363724138,
      0.1708373085633,
      0.26936583031637,
      0.0295393357632842,
      -0.0685389040524022,
      -0.0713922558244106,
      -0.138451656352162,
      -0.145694072030147,
      -0.0340766424374342,
      -0.00762460729142246,
      0.00136663420759544,
      -0.0288554064040682,
      -0.0707065248186336,
      0.0419380119431749,
      0.0123550068674274,
      -0.000943916342272188,
      -0.0563009622517173,
      -0.0613891591843246,
      0.0227516015560749,
      0.105086979216476,
      0.109893353443128,
      0.253265115460404,
      0.155649564541232,
      -0.018509181295283,
      -0.0856231611757969,
      -0.0841358288692889,
      -0.160984874919936,
      -0.124049992298417,
      -0.0031304869504201,
      0.0131077584161001,
      -0.0827571709224475,
      -0.0486873682324884,
      0.000786971128433914,
      -0.0597079031711961,
      -0.0419302822569341,
      -0.0230051274596846,
      0.0553604230942866,
      0.05530977014321,
      0.0755560975714282,
      0.14722405442945,
      0.166174506214066,
      0.120986451219824,
      0.0302569000960225,
      -0.0387702955422995,
      -0.111607123487846,
      -0.0788683690289158,
      -0.07445265022918,
      -0.0935521604686666,
      0.0140395307250699,
      0.0814195552767533,
      0.0682429268357611,
      0.0479037735970175,
      0.038012275016817,
      0.0462964628847054,
      0.135100713659357,
      0.063381582185768,
      0.0536117484132345,
      0.0484290197791711,
      0.118590455824529,
      0.0739539759272133,
      -0.00858558152277817,
      0.146359052870744,
      0.00740558246659996,
      -0.0890848353296522,
      -0.0197362340084725,
      0.0523106570669947,
      -0.0803942307455402,
      -0.0645103293146516,
      0.0440025770932372,
      0.0319172350219782,
      -0.0381688999477367,
      0.0669478675491286,
      0.050588275721177,
      0.143239502612016,
      0.160261926166005,
      0.0509271578688893,
      0.0340683143443542,
      0.0499214368851992,
      0.11717508032034,
      0.116236890978896,
      0.238801884199368,
      0.19993668620879,
      -0.00805036243722955,
      -0.0721923834466541,
      -0.0793534719449661,
      -0.167612733610294,
      -0.149361372798387,
      -0.010718866317679,
      -0.0102417924714309,
      0.00757229791697289,
      -0.0628507367471069,
      -0.0260148494139477,
      -0.0247799152019512,
      0.0071552411558488,
      -0.0062519413610029,
      -0.0867121383891087,
      -0.0222665344552046,
      0.0610246113737412,
      0.107022417482131,
      0.11706936214874,
      0.297409576155186,
      0.156693999425573,
      -0.0638208873321979,
      -0.0827165939976754,
      -0.0871237310113719,
      -0.167207969747101,
      -0.101652045053712,
      -0.000777855728030297,
      0.00524814052102752,
      -0.106655646182179,
      -0.0219542803859285,
      -0.0157279870770064,
      -0.0746309491327332,
      -0.0539379140316572,
      -0.0111958832110026,
      0.0439818220828244,
      0.0149583149958902,
      0.0979173803550814,
      0.136669223310164,
      0.14705600762875,
      0.243761942178839,
      0.0714396890740604,
      -0.0689235709396968,
      -0.0685982555691886,
      -0.126236207019339,
      -0.156286412720656,
      -0.0402905627973496,
      -0.00721244238563746,
      -0.00222979432389672,
      -0.00901724632548695,
      -0.0907749495533146,
      0.000715624389400815,
      0.00866460313184017,
      -0.00142878984071168,
      -0.0491745982352999,
      -0.086388820877583,
      0.0163888179022984,
      0.093200462101356,
      0.103605642814337,
      0.0826978225989468,
      0.0604627937624886,
      0.024845533191817,
      -0.0847203561641619,
      -0.0999230674586392,
      -0.058799606752386,
      -0.0238553555218188,
      -0.0572229552608416,
      0.0806004354203694,
      0.131911398768818,
      0.0922187897688163,
      0.00969470431982786,
      -0.00691148984373171,
      0.0287131999475468,
      -0.0413267760414962,
      -0.0232604020331724,
      0.00893847411732764,
      0.0478904021348245,
      0.131487127926358,
      0.0989705246411256,
      0.301210746439656,
      0.147757532928415,
      -0.0508109524941592,
      -0.0701642191817057,
      -0.090562918530615,
      -0.177360861041703,
      -0.0832114127313903,
      -0.000805823493636124,
      -0.00852641338846387,
      0.0103069924366673,
      -0.101313344479732,
      0.0228197663604358,
      0.0192746578527801,
      0.00477796789789876,
      -0.00920213774412773,
      -0.105520640819297,
      -0.00587594570277447,
      0.0929464045231572,
      0.105898248966064,
      0.155521540424414,
      0.23000347634417,
      0.0703807767780767,
      -0.0732830446906859,
      -0.0818487365181009,
      -0.107791574329588,
      -0.149253251901702,
      -0.0665227094355754,
      0.00332600027145793,
      -0.0101556708465049,
      -0.107192137708378,
      -0.000146034901206793,
      -0.0290952795966093,
      -0.0582471840709095,
      -0.0352339383162075,
      -0.0151315452312134,
      0.085816053086223,
      0.0383050184488764,
      0.114095631163159,
      0.123218874141983,
      0.176942873875,
      0.218445727156494,
      -0.0157250896923022,
      -0.0726622408093759,
      -0.0696814305630985,
      -0.136378039949754,
      -0.12323420262148,
      -0.00829849727354964,
      -0.0115972556727005,
      0.00543240966926348,
      -0.0343938822738476,
      -0.0363045430914812,
      -0.0137812519565756,
      0.0260663554028074,
      0.00615759097056838,
      -0.0736541840337557,
      -0.0853329757539711,
      0.0382057107606017,
      0.173529164752225,
      -0.00949404319128498,
      0.081024429903852,
      0.0621131103574539,
      -0.0150047298096752,
      -0.120195325381956,
      0.044892553435938,
      -0.0220440906033792,
      -0.0488084798078981,
      -0.0339707666209266,
      0.0402211091463168,
      -0.0404001762583047,
      0.0609146568789733,
      0.0776835031745948,
      0.0477589195514131,
      0.175530777795888,
      0.144615989192522,
      0.100901765205237,
      0.0162731899398528,
      0.0914995360867312,
      0.137376092333197,
      0.121779388418516,
      0.295713924262434,
      0.0774728581328144,
      -0.0664258462536174,
      -0.0680770433706091,
      -0.12086885958311,
      -0.160910588669759,
      -0.0625501925856949,
      -0.00527316128581809,
      -0.00462226906685935,
      -0.00110190510136672,
      -0.11237693557137,
      -0.0156577059963805,
      -0.00197923969182802,
      -0.00100763136556642,
      -0.0325639091706037,
      -0.110404200007095,
      0.00120367982966553,
      0.0973430341090516,
      0.106354581508524,
      0.242161456972675,
      0.253812523719869,
      0.0534978035977431,
      -0.0813270899971294,
      -0.0838414409555001,
      -0.147126271032238,
      -0.130266903202006,
      -0.0386150564802172,
      0.00311346538803097,
      -0.0430731257113216,
      -0.099032809764805,
      0.00111328818635968,
      -0.0671381780811393,
      -0.0593158242492311,
      -0.0377652253048954,
      -0.00838676812261912,
      -0.00689987612828409,
      0.0571515242087834,
      0.0956422383955005,
      0.0221820513016279,
      0.0192110852827105,
      0.037408698022622,
      -0.0300255045717966,
      -0.14146822369098,
      -0.113311239165707,
      -0.0190199578397052,
      -0.0514187538029864,
      -0.0272786137229217,
      0.060068359026324,
      0.0888543241785648,
      0.110416069596663,
      0.0447068713574653,
      0.0480909159652016,
      0.0936359648091423,
      0.109052052697421,
      -0.0411907596480984,
      0.0154971395096676,
      0.0649449805768637,
      0.0697862627239769,
      0.0576531147581255,
      0.0179286925416679,
      0.0576306431155563,
      -0.0747656239634937,
      -0.11340327232556,
      -0.114588371931984,
      0.0190403046444597,
      -0.0718417145638413,
      0.00667356950986648,
      0.0334931863099725,
      0.105997732957099,
      0.0619056262946406,
      0.0996750782113851,
      0.0844630988970872,
      0.124668360530782,
      0.12872717944289,
      0.100171739677789,
      -0.0108931308761879
    ],
    "hpcp_over_time": [
      0.68118301616716,
      0.352746782480303,
      0.481680355980579,
      0.518360768600403,
      0.750718354804716,
      0.459916286587361,
      0.643233597273811,
      0.369295731126371,
      0.0963811142708672,
      0.306804932247265,
      0.137423699165109,
      0.080320405812427,
      0.166220976961778,
      0.144177351287545,
      0.171174812864189,
      0.0463469336475643,
      0.127022919466066,
      0.18084420935681,
      0.11711129966715,
      0.0477796180053785,
      0.136686746625061,
      0.136005169665632,
      0.0976863646308281,
      0.466972438268796,
      0.0840242324593934,
      0.107928556016581,
      0.349991577558207,
      0.159934195367958,
      0.124630904004861,
      0.400432163988654,
      0.186659045857487,
      0.120142507715724,
      0.157657496964126,
      0.114234538446012,
      0.0630689455532823,
      0.105320869239802,
      0.18791737971201,
      0.172092262625549,
      0.118572147168637,
      0.0641306669630262,
      0.225449118746781,
      0.6858353172077,
      0.4231990589226,
      0.213422127395449,
      0.542425062548608,
      0.552378364430096,
      0.182020255534125,
      0.252043463408434,
      0.232406268535211,
      0.22992701070651,
      0.220416240834735,
      0.911627675079457,
      0.757267048972956,
      0.877211490001532,
      0.742922275358072,
      0.609233112130944,
      0.69477885501451,
      0.38995246940276,
      0.172616161618335,
      0.590262645018208,
      0.72954611630284,
      0.92094917952922,
      0.302194676294188,
      0.329781085778837,
      0.732534124135447,
      0.618935633471225,
      0.406395750904567,
      0.97790400970907,
      0.599514666140165,
      0.622853923095683,
      0.469243647608703,
      0.654458768865091,
      0.572648834090565,
      0.929928649645713,
      0.83577314092474,
      0.677617779925733,
      0.724745340553181,
      0.716067631723209,
      0.772254169846387,
      0.80920029717386,
      1,
      1,
      0.998096883592706,
      1,
      0.824019532797545,
      0.196603388967059,
      0.157180471858674,
      0.0784649871301556,
      0.0273840886791082,
      0.155542412192288,
      0.234743184889596,
      0.191805689644618,
      0.176359039056994,
      0.136323923780713,
      0.455124662638622,
      0.466145712980737,
      0.220310307439938,
      0.112472504547622,
      0.147006280640926,
      0.750955619731996,
      1,
      1,
      1,
      1,
      0.779514849233092,
      0.260611274489641,
      0.233957829897212,
      0.0875100141416088,
      0.0684292746533153,
      0.258035683276964,
      0.259571787700102,
      0.122487412351041,
      0.157056139142797,
      0.269709100281113,
      0.106969853583538,
      0.238084717278283,
      0.306701916141326,
      0.436507201258647,
      0.757986223229033,
      1,
      1,
      0.998796067514089,
      1,
      1,
      0.354664431773494,
      0.15178614771671,
      0.112402650379999,
      0.0212322471382119,
      0.116348292537504,
      0.268134518986888,
      0.192017933118841,
      0.221776116548839,
      0.127591406476886,
      0.466466847148069,
      0.484943171086111,
      0.284479117711634,
      0.169260280320933,
      0.0493605829487946,
      0.327090112110116,
      0.776959978220142,
      0.458616762880137,
      0.177827528125177,
      0.181271304326268,
      0.844763266884369,
      0.333151613629547,
      0.287789097577501,
      0.251602456888097,
      0.256552421796581,
      0.187878190719962,
      0.617738836867865,
      0.547573548479612,
      0.67595573666515,
      0.714885008140769,
      0.79207927379415,
      0.789575379605842,
      0.634560872728193,
      0.505327946741691,
      0.502086749001252,
      0.97697667851845,
      1,
      1,
      1,
      1,
      0.633579314063814,
      0.189463331877275,
      0.141259594583476,
      0.0435004097992838,
      0.0435208166942985,
      0.238530968087229,
      0.215298719287397,
      0.189451744062225,
      0.108725060606437,
      0.18006971755057,
      0.399450306346079,
      0.407853730727873,
      0.189147149536506,
      0.0727203467764366,
      0.19181667657733,
      0.888832939589488,
      1,
      1,
      1,
      1,
      0.567405531795589,
      0.250897009858578,
      0.238321463324886,
      0.0347489196079653,
      0.0949681554296869,
      0.319321075420037,
      0.242878951859517,
      0.0749840670922385,
      0.161316125032771,
      0.223099008843764,
      0.134018019683313,
      0.231408090967535,
      0.290291860251599,
      0.502052268726976,
      0.672095794772925,
      0.778093177164515,
      0.496946391788538,
      0.272226923840166,
      0.139534258531608,
      0.774233674188954,
      0.347305695495003,
      0.25258954748008,
      0.210314053958076,
      0.194638709989898,
      0.287939151005832,
      0.594859934481849,
      0.800363416389304,
      0.846944195609212,
      0.743233651727137,
      0.756350887316495,
      0.738849319229408,
      0.468806417555759,
      0.256531858502555,
      0.234246692075694,
      0.824866185147044,
      0.941853875442127,
      0.629643267277884,
      0.246765252171813,
      0.568731956622734,
      0.800533009057961,
      0.372102144645399,
      0.695279311374067,
      0.960744456257507,
      0.374233059530809,
      0.458789212316481,
      0.682809438437778,
      0.756502545463155,
      0.591277431368732,
      0.966274284683416,
      0.608582925396311,
      0.811498847111763,
      0.683499676819869,
      0.756260558732214,
      0.758021031550541,
      0.975256742542126,
      1,
      0.998621792149646,
      1,
      1,
      0.446542677593752,
      0.156848827267095,
      0.122540277440365,
      0.0266317177082809,
      0.0528845618791779,
      0.239312148503869,
      0.201505626964366,
      0.206762738967691,
      0.108606292936931,
      0.297467134105747,
      0.435823565719634,
      0.308994727477036,
      0.17102861433484,
      0.0840206025279398,
      0.346328731592396,
      0.997892762263676,
      1,
      1,
      1,
      0.998129165405094,
      0.393320516157325,
      0.236922185776781,
      0.220389552363172,
      0.0275767790319922,
      0.153334614245639,
      0.26129682183931,
      0.234946183107398,
      0.0877463686622357,
      0.275265249652431,
      0.183362661832165,
      0.192157114551927,
      0.295100670813736,
      0.406345645838037,
      0.571871810187054,
      0.711520775882657,
      1,
      1,
      0.999858866753845,
      1,
      0.738741575470396,
      0.173537092800298,
      0.141686823015614,
      0.054840637029525,
      0.0506106644110028,
      0.23763022460437,
      0.230812592581323,
      0.201760183059332,
      0.154619511283468,
      0.159897784404789,
      0.602812862230457,
      0.417805155662456,
      0.207928895515707,
      0.096055227050261,
      0.177788673237391,
      0.475165561888806,
      0.759612643303038,
      0.327746758145436,
      0.146445748608749,
      0.55063558829274,
      0.612394179968744,
      0.281976678320927,
      0.211689408952396,
      0.256981783162032,
      0.262435162003621,
      0.251291875329076,
      0.688410482968106,
      0.6324906998942,
      0.837193841194196,
      0.710376979375429,
      0.667893152427599,
      0.808859700123053,
      0.534606936180332,
      0.536954445215197,
      0.691376563343863,
      1,
      1,
      1,
      1,
      0.957858924683218,
      0.265933004409413,
      0.163665840101016,
      0.113865558507204,
      0.0140302453197076,
      0.139386191713675,
      0.246223541840937,
      0.177629178230888,
      0.178981773096106,
      0.0639274432050599,
      0.376272255810147,
      0.420635015148811,
      0.237130189568272,
      0.145098840686581,
      0.0483902676945741,
      0.562231360982173,
      1,
      1,
      1,
      1,
      0.88162820395585,
      0.303701350726845,
      0.237493366669995,
      0.166251347940179,
      0.0530924678577742,
      0.236167256844211,
      0.240567334313607,
      0.174808039356571,
      0.0835932088354064,
      0.248786968968857,
      0.131453494123565,
      0.200200601014302,
      0.237699434050075,
      0.281611274943568,
      0.650786309351795,
      0.991215087903314,
      1,
      0.998609363805438,
      0.999198320556373,
      1,
      0.511863524844972,
      0.163501824926582,
      0.174602915263623,
      0.0796245967375743,
      0.13408288097587,
      0.336475451161514,
      0.202771391024929,
      0.219076014184394,
      0.178359007561518,
      0.274612992120159,
      0.337104866404458,
      0.333830972096716,
      0.194028428455893,
      0.0665409798435134,
      0.119379444412767,
      0.531891350659076,
      0.889185368463693,
      0.299907610684246,
      0.330451606055582,
      0.74062099395404,
      0.621718843587263,
      0.27958315852098,
      0.976956834970529,
      0.595794788721351,
      0.644750601952054,
      0.475033245304943,
      0.648954651980757,
      0.575549657621855,
      0.929795433393495,
      0.832706560407274,
      0.678951952122073,
      0.72917354941579,
      0.860537767328307,
      0.749049428564657,
      0.425072185319407,
      0.99956859956521,
      1,
      0.998950503248627,
      1,
      0.824539525228473,
      0.195045364348738,
      0.154355199743114,
      0.0712098539934047,
      0.0261635392835604,
      0.197960803176697,
      0.227849415474761,
      0.188495945644412,
      0.158934375158625,
      0.0953129651518846,
      0.442941882072677,
      0.411458764134118,
      0.207686247971546,
      0.104512324548428,
      0.0946167540006717,
      0.781322268056121,
      1,
      1,
      1,
      1,
      0.781138656360306,
      0.256347875049982,
      0.239230579645475,
      0.084250046903398,
      0.0573687585354425,
      0.234764097535322,
      0.243687910731089,
      0.115332714197542,
      0.106940134931375,
      0.25011561884643,
      0.105145314441521,
      0.222990743775642,
      0.285363999530542,
      0.344047454767394,
      0.531628884948716,
      0.942507231389416,
      0.872808655955026,
      0.586713263319832,
      0.824852335300021,
      0.943105365470979,
      0.377425805790039,
      0.165017957245884,
      0.134085428416459,
      0.0956331461644628,
      0.215795376596954,
      0.518988979305539,
      0.961214787159684,
      0.924958125739998,
      0.748155852108715,
      0.723730663920774,
      0.828399797743003,
      0.900160741772509,
      0.501589467041444,
      0.1330456374554,
      0.740979946186135,
      0.944498883431144,
      0.894066534601762,
      0.655111295428588,
      0.982871334008941,
      0.86415830030914,
      0.327570833168802,
      0.184163984799642,
      0.0956110475006849,
      0.146121090865197,
      0.28778303427872,
      0.588663769850559,
      0.760858826442165,
      0.962266067376333,
      0.728435435222211,
      0.959633741711284,
      0.869613364888318,
      1,
      1,
      0.897266957096068,
      0.646489824176524,
      0.704144966018012,
      0.300965082937441,
      0.147634989390189,
      0.182255975710296,
      0.309899573617748,
      0.223186214379561,
      0.354987754842078,
      0.410560496434688,
      0.0687001650310091,
      0.366330954162075,
      0.106679631298402,
      0.100934068862234,
      0.237281406686582,
      0.0943218401042359,
      0.129979379997114,
      0.0651148503259072,
      0.0907415378439528,
      0.27979608959462,
      0.104324889692548,
      0.0958167338468933,
      0.0653845293503383,
      0.0756654720029285,
      0.0703346045687682,
      0.19265317424369,
      0.0813516351869855,
      0.10568465558297,
      0.241929003062097,
      0.17235948297345,
      0.11816946778886,
      0.320622010504496,
      0.100190775205171,
      0.180630405413679,
      0.167894606088261,
      0.0720868099256739,
      0.0996115063655799,
      0.105571253733689,
      0.180961080504496,
      0.170542050690381,
      0.101175687664001,
      0.0763307012911012,
      0.100494252599726,
      0.0674262437396968,
      0.138669920268747,
      0.0600144162528427,
      0.252414838127878,
      0.11515058552778,
      0.131376606500132,
      0.163940923487297,
      0.202122127267855,
      0.210449912363719,
      0.115935277160219,
      0.187659033247066,
      0.214665024270026,
      0.560585565123492,
      0.329105575389927,
      0.128384547527011,
      0.12716706919255,
      0.104692259473027,
      0.136689517184498,
      0.196638330954601,
      0.162855081799749,
      0.174237636625201,
      0.128839258770569,
      0.175780158514933,
      0.221101432403345,
      0.312238341246648,
      0.206106891011271,
      0.115744514456488,
      0.220236710507605,
      0.283859506954907,
      0.177995937867277,
      0.173991633021177,
      0.36254593901052,
      0.25837411098482,
      0.224462438640405,
      0.225115972265622,
      0.152710680236114,
      0.24947411728293,
      0.169312784646687,
      0.400796213899054,
      0.615705060680714,
      0.381195189119353,
      0.569874100610124,
      0.0830093274227991,
      0.167788479427534,
      0.164989084848274,
      0.146633213275755,
      0.0774160821779192,
      0.0264156800580757,
      0.170547780354822,
      0.191165708974838,
      0.154224672106111,
      0.148145169281386,
      0.0949331757056521,
      0.0951871734763063,
      0.265446493349721,
      0.190337084527186,
      0.111435027006295,
      0.0841931483680021,
      0.49235468494315,
      0.532424978516492,
      0.48495010636731,
      0.282825420651484,
      0.091163801948716,
      0.282607517657809,
      0.196663150376289,
      0.17901893666772,
      0.0593771835706924,
      0.0691179669606797,
      0.215190705402696,
      0.170287424818776,
      0.0699319076380376,
      0.122225002972296,
      0.256197941068553,
      0.0555221911114919,
      0.0764606973798367,
      0.120145952867347,
      0.271357447947651,
      0.302212696157002,
      0.687045841710267,
      0.422871323015629,
      0.564761021395674,
      0.129027285369834,
      0.119412251362468,
      0.216826110154792,
      0.146585392366518,
      0.107698341740445,
      0.016008814521835,
      0.107961705950814,
      0.243865794714442,
      0.145235717421046,
      0.187729080582301,
      0.0746359895275105,
      0.126801322794917,
      0.1934577964826,
      0.211578091395143,
      0.147060623041758,
      0.0379232052678096,
      0.102423738198758,
      0.164174577842973,
      0.139975749003823,
      0.0669818586710502,
      0.196628237076886,
      0.245590218709717,
      0.185804069921665,
      0.189369451359527,
      0.131576118165663,
      0.19733933917217,
      0.211316878774727,
      0.151271053518693,
      0.179887047377336,
      0.208620438144154,
      0.134484009288547,
      0.135639134486892,
      0.14390932435429,
      0.230547680162403,
      0.251451122502006,
      0.324730442197579,
      0.646285136723362,
      0.515045443949715,
      0.402327605547466,
      0.423476266562133,
      0.0988726058444449,
      0.203206487741039,
      0.164391342721195,
      0.12834409251757,
      0.0418550906507701,
      0.0455374272993729,
      0.214465648588127,
      0.164173487550207,
      0.169385112448331,
      0.0800054968181305,
      0.0710120716643036,
      0.113313772569043,
      0.263897984533278,
      0.166255852812889,
      0.0643895691040325,
      0.0715067359498912,
      0.603332162046941,
      0.514020415680409,
      0.482983092744449,
      0.139970312774745,
      0.105663688202572,
      0.310551371765844,
      0.178862622883947,
      0.182791107870933,
      0.0319675293301415,
      0.0943266957271714,
      0.248487399576645,
      0.174253511245457,
      0.032720862417965,
      0.15220974704437,
      0.208371227248716,
      0.0602335603599351,
      0.0871198803934366,
      0.101957917068955,
      0.0778696340451421,
      0.22725112323819,
      0.185414647602535,
      0.145561799779006,
      0.0499770203565395,
      0.0962864380703137,
      0.237144512009647,
      0.153628734889296,
      0.166963408016368,
      0.0879389633351005,
      0.244839994873776,
      0.194213879207209,
      0.193467203874818,
      0.255988556153936,
      0.315149854255659,
      0.540779242176824,
      0.188831908086813,
      0.15107332504599,
      0.136496271278888,
      0.0640640981968962,
      0.207723820916694,
      0.108101481414503,
      0.202907708696637,
      0.175032459234295,
      0.180798506041272,
      0.195425266562992,
      0.233069033515528,
      0.249079736941738,
      0.185920991019509,
      0.200237561623863,
      0.225452309248457,
      0.181875946441179,
      0.183889432062429,
      0.274209741369036,
      0.393277798835439,
      0.231011024284939,
      0.172351616981213,
      0.176972868102321,
      0.183685554591265,
      0.203775115895411,
      0.254520182945072,
      0.653133559073654,
      0.454134012360282,
      0.525366408036079,
      0.208059938646097,
      0.104870386634159,
      0.210563264354737,
      0.144530602354563,
      0.117576578555217,
      0.0208939398392948,
      0.0637639805023762,
      0.240303095407693,
      0.152931056488008,
      0.180926404470868,
      0.0707133887994483,
      0.0895356272649943,
      0.23929082636634,
      0.254601832585828,
      0.156099341554781,
      0.0625274255320386,
      0.096174009380558,
      0.70037398566167,
      0.500174368510802,
      0.491057164879111,
      0.0742115667717473,
      0.158513512149107,
      0.284961205386917,
      0.175788462565568,
      0.168202941458432,
      0.019268278128096,
      0.15054130075308,
      0.196534215735132,
      0.167448119141088,
      0.0342772207370923,
      0.265048683220097,
      0.137696505314953,
      0.0496592563787131,
      0.0813406817362376,
      0.132211086027511,
      0.292579909783905,
      0.689690782680282,
      0.571281062591425,
      0.381189995228203,
      0.501047854347978,
      0.0884002606840685,
      0.176823089673851,
      0.17089366902371,
      0.142029903891239,
      0.0546512660512392,
      0.0389462450079588,
      0.22581263323458,
      0.174062699406034,
      0.166486127516547,
      0.122948170222213,
      0.0795786381502168,
      0.10572247051833,
      0.253771501036153,
      0.175219754116488,
      0.0772759705850342,
      0.0743969850347099,
      0.101606227490826,
      0.142708470786531,
      0.116579282351433,
      0.146574691408519,
      0.253901020439472,
      0.206897960950906,
      0.191929589851814,
      0.120836333841222,
      0.152378802417675,
      0.272712647446038,
      0.163167133671383,
      0.172118988462046,
      0.182255073253055,
      0.135271951832557,
      0.178694793645618,
      0.114418434771722,
      0.189175901318633,
      0.18612654797357,
      0.263022981864721,
      0.4409677216463,
      0.741367395898539,
      0.398731115886623,
      0.569839489861616,
      0.0887592174204641,
      0.142528780411095,
      0.198404764670473,
      0.156201287802311,
      0.105614362973738,
      0.0188131199764015,
      0.115150707913037,
      0.221225636295252,
      0.142191465903984,
      0.164557726053354,
      0.0425995103693661,
      0.105225859555887,
      0.189767204765594,
      0.2090509704746,
      0.13716146804213,
      0.0420934252211413,
      0.262350283722879,
      0.583903440066775,
      0.486684294440088,
      0.426495468132345,
      0.0820936258623191,
      0.225469444490288,
      0.228565885086767,
      0.17866348144815,
      0.129486681808695,
      0.0495125676096101,
      0.195080870565175,
      0.168039087187326,
      0.121700915175011,
      0.0410455109025537,
      0.260468791591183,
      0.084356592102031,
      0.0533618109260197,
      0.0925119041021811,
      0.110009440379837,
      0.202898993175059,
      0.616713723992207,
      0.488191506177859,
      0.46635504956952,
      0.321952022713118,
      0.148263953818159,
      0.235465835522121,
      0.161354026108499,
      0.126425977722027,
      0.0371330215263698,
      0.0673760036939241,
      0.243501152795729,
      0.159861899802001,
      0.190721511975057,
      0.102272203265045,
      0.0992982392972843,
      0.1952165896075,
      0.279496588321632,
      0.169929815460874,
      0.0550417627259852,
      0.073590991374897,
      0.1463809017431,
      0.154915045560325,
      0.129660055306908,
      0.182085097604471,
      0.224331002360278,
      0.317249889381681,
      0.204906433473462,
      0.114531614266552,
      0.220936650444863,
      0.283365098760169,
      0.165774778774718,
      0.166807232517817,
      0.364053186391063,
      0.256327412778004,
      0.191821785675898,
      0.198227898381871,
      0.149784140237636,
      0.176090256467946,
      0.207599275420384,
      0.439197801524973,
      0.627175974274397,
      0.377980277103879,
      0.556073189257139,
      0.0895844280656524,
      0.164606132073345,
      0.162985103917944,
      0.150405283584821,
      0.0690190165468092,
      0.0235046482924335,
      0.182928401115291,
      0.189212987936312,
      0.157087554996563,
      0.137183069878118,
      0.0579273500056405,
      0.0844605994383724,
      0.22971239241646,
      0.182827065286892,
      0.0982757793982809,
      0.0561561765249665,
      0.473540952289765,
      0.532029844443262,
      0.480251498675544,
      0.278434432800934,
      0.105028697457051,
      0.280024650687318,
      0.198333496093759,
      0.185446304322169,
      0.0567391940632642,
      0.0818756349860824,
      0.212589957549579,
      0.175970779677658,
      0.0751696461786583,
      0.076205362542212,
      0.238393805361335,
      0.0540847949302205,
      0.0372812269695384,
      0.0657623757853988,
      0.073014685240803,
      0.179861697237398,
      0.203793871265621,
      0.112775385250039,
      0.216409998001652,
      0.469239931860557,
      0.547957984452265,
      0.169001064349105,
      0.141102469202,
      0.130907793319483,
      0.156548461976211,
      0.237355228406544,
      0.279429384837103,
      0.155244258423531,
      0.244342411228332,
      0.325345060761077,
      0.208513578706974,
      0.186768813308588,
      0.188304820202993,
      0.0859300590018051,
      0.0939573099779284,
      0.172212543674502,
      0.159812862892699,
      0.171540185887061,
      0.196633650192459,
      0.555663918647989,
      0.281549565128124,
      0.147923399308187,
      0.173661664517703,
      0.108020549892161,
      0.159253265431784,
      0.303944577758462,
      0.156062300439994,
      0.14982481296295,
      0.207528374056987,
      0.4112846789661,
      0.11167263103783,
      0.0989593554343339,
      0.0260625616287556,
      0.0210893058062138,
      0.147612881404838,
      0.540799914548929,
      0.551112487059312,
      0.57350393156104,
      0.2037816352244,
      0.203897388616866,
      0.283978836881229,
      0.235597907646072,
      0.245221508032522,
      0.328763776881925,
      0.54624723421607,
      0.625453527780958,
      0.183492213713137,
      0.229204114572479,
      0.433879437939248,
      0.0486468626864314,
      0.381796013191658,
      0.0936916087632556,
      0.269378833113227,
      0.227241964491699,
      0.102144653883672,
      0.143743257977934,
      0.0711299456982027,
      0.160548850863662,
      0.114800493246578,
      0.263138586347749,
      0.485237360797501,
      0.371500840222551,
      0.219191505983071,
      0.474476982970096,
      0.832718263137073,
      0.561549988359769,
      0.127790069157415,
      0.545909038693351,
      0.151714500282823,
      0.083977121628199,
      0.439024192152492,
      0.192185039521265,
      0.492955338810395,
      0.210312538210916,
      0.124755559856278,
      0.253665439068923,
      0.0909576510025411,
      0.205737192819385,
      0.204468273311184,
      0.123356356575119,
      0.257798064472578,
      0.168874876201043,
      0.903222437630086,
      0.773530601703407,
      0.671971248406252,
      0.64054842870159,
      0.540221507528711,
      0.245322525550364,
      0.270787409237519,
      0.259418825776888,
      0.284665524376602,
      0.119411112688058,
      0.235259085921799,
      0.169196772931407,
      0.308598929982485,
      0.239466320730948,
      0.116225371449482,
      0.37239303419996,
      0.984772790432075,
      0.573306468014786,
      0.546012451348414,
      0.529572875419556,
      0.710203199594182,
      0.434930179392882,
      0.705552970925397,
      0.844420367607217,
      0.438997178139128,
      0.189274236135356,
      0.455764167332953,
      0.154950427871374,
      0.265848513991135,
      0.132133922497637,
      0.14846118801705,
      0.410996373935353,
      0.506175777206213,
      0.653983466467074,
      0.3307532346663,
      0.206271077399155,
      0.245281376962597,
      0.0467224918460824,
      0.172286422930063,
      0.244933193646387,
      0.195625992072566,
      0.110854562462498,
      0.0426430073718738,
      0.321437312755932,
      0.172883201827838,
      0.153868771353325,
      0.12430260504434,
      0.0746953952559929,
      0.0864462101744682,
      0.240745041334486,
      0.1758641858645,
      0.0836233751108252,
      0.072703176796831,
      0.320928341665698,
      0.26709696890173,
      0.254306897816805,
      0.106722402464715,
      0.0610037891660808,
      0.239824968542504,
      0.221198955809711,
      0.16702027107654,
      0.0600501019570164,
      0.14198386868352,
      0.38689740121563,
      0.176696095343111,
      0.0900905412815657,
      0.172226342978768,
      0.23087505286645,
      0.0339626112409892,
      0.0744931133612995,
      0.199338483675889,
      0.304790307865727,
      0.261389385361169,
      0.444072053410457,
      0.209406473037679,
      0.268002939638232,
      0.044649385159281,
      0.114657129072853,
      0.266594502703487,
      0.214733765386383,
      0.142365210369257,
      0.0427322859830434,
      0.218222610897134,
      0.252941865883783,
      0.140424626927218,
      0.165538316294309,
      0.0410080432954269,
      0.120756062221189,
      0.324220158063271,
      0.185905547403583,
      0.125748261299644,
      0.0222426823169473,
      0.104800800536366,
      0.196761733082022,
      0.192952649929889,
      0.0857613470388257,
      0.405383229780128,
      0.289912654785313,
      0.680663662652092,
      0.522367632216706,
      0.508189066996,
      0.445479720753741,
      0.825239961466452,
      0.24591498760231,
      0.205767092636333,
      0.616018783695558,
      0.282282994336542,
      0.217354859180598,
      0.17747860326459,
      0.615938456797907,
      0.338242409652914,
      0.480779903202923,
      0.509308583423063,
      0.2637395692374,
      0.217562261969498,
      0.167456452710617,
      0.0645640694488345,
      0.22537579144617,
      0.226163080491674,
      0.1795493722119,
      0.0838792207377004,
      0.101961046937416,
      0.315807893765554,
      0.155326860817392,
      0.157205363383014,
      0.0641525853985995,
      0.0661995072672432,
      0.154441239727761,
      0.2568646748738,
      0.143153035105483,
      0.0417922244723803,
      0.0638716113622994,
      0.370164982567794,
      0.269795540552949,
      0.245123197824587,
      0.0680564608720119,
      0.141933582878141,
      0.296183196987537,
      0.182801044599838,
      0.184428323827664,
      0.040892037448065,
      0.262322891100242,
      0.308953158492026,
      0.178428633747771,
      0.0244644783183219,
      0.162716793980465,
      0.18301538578989,
      0.049900011488497,
      0.136480991994924,
      0.112224709980734,
      0.324006984683651,
      0.24668303947633,
      0.304462272485495,
      0.399621795402271,
      0.0756125457488865,
      0.186119568922108,
      0.253108699275023,
      0.595659773814409,
      0.815781159652494,
      0.610834326783705,
      0.652446964755112,
      0.697887313910253,
      0.353137003347045,
      0.283994575962672,
      0.27050909245434,
      0.311727444973201,
      0.186446554494125,
      0.218039631120172,
      0.232751195561152,
      0.116641822086959,
      0.414140309328227,
      0.0935670972933507,
      0.259530904509112,
      0.707649964477649,
      0.964592649583412,
      0.262059354925018,
      0.591726964828827,
      0.710478536192261,
      0.511542198713827,
      0.46350506656912,
      0.916404138277479,
      0.706258033128192,
      0.197940078356277,
      0.225334630355805,
      0.468809761422212,
      0.206208156821116,
      0.16236553767148,
      0.133691043813967,
      0.220835195191747,
      0.57357435227913,
      0.57067038683698,
      0.534103861067328,
      0.225057453445148,
      0.249866300550546,
      0.0649115959690553,
      0.106323353077883,
      0.253217307668986,
      0.219306376597867,
      0.155825016613643,
      0.0509299370286603,
      0.193116342670803,
      0.280551186091738,
      0.143189380735012,
      0.174869913588526,
      0.0566540484535078,
      0.0988257211900274,
      0.206236941253498,
      0.230493917275875,
      0.148209909374898,
      0.0480135734312434,
      0.0937053023630098,
      0.390944639167991,
      0.258377067715422,
      0.23257833034634,
      0.0377117865795705,
      0.133431069405964,
      0.275743618444403,
      0.179093260707207,
      0.154415358432069,
      0.0393170459123315,
      0.373203770919739,
      0.205649173623835,
      0.170885487316847,
      0.0627890897260655,
      0.240491027102458,
      0.113260436258733,
      0.0529751369510007,
      0.118116859469902,
      0.222479511836685,
      0.214958795110024,
      0.729072341684444,
      0.291029156142747,
      0.206924922313276,
      0.20295187535046,
      0.0559008216256766,
      0.193717141317295,
      0.246433998373963,
      0.186207393982007,
      0.0919771221745904,
      0.0667620519857278,
      0.341704352045917,
      0.163698973269975,
      0.159072949490613,
      0.0924729401585053,
      0.078316810443226,
      0.160377089633578,
      0.220943979356081,
      0.150599678253178,
      0.0615804608421135,
      0.0673104823949392,
      0.112835423843033,
      0.193575052719008,
      0.154213491183889,
      0.28468800176603,
      0.352390442825788,
      0.296814110052758,
      0.758373967606154,
      0.432709320271991,
      0.588289639735743,
      0.607370836192628,
      0.553842352110489,
      0.197808605890898,
      0.252022041585514,
      0.552010677408245,
      0.298105202628968,
      0.187890272291758,
      0.440671737812023,
      0.467888905712774,
      0.378826872672881,
      0.552278181043001,
      0.450856328836941,
      0.215097966143382,
      0.262018211877127,
      0.0334227025816332,
      0.13268770752268,
      0.248499666339615,
      0.20131168563405,
      0.144412812799778,
      0.0395717550339716,
      0.264573302566564,
      0.21941431879539,
      0.138707321462783,
      0.143748854365112,
      0.0422785612524832,
      0.111940444277563,
      0.229184628942419,
      0.18558069867884,
      0.110377431148098,
      0.031985616646476,
      0.197342180601057,
      0.308435463035305,
      0.267138386638209,
      0.190469474463305,
      0.0832834562063556,
      0.254792738411626,
      0.238017324846615,
      0.173361775597595,
      0.140076236422319,
      0.0721678439034028,
      0.411659178942628,
      0.176877828279658,
      0.118292588987233,
      0.0383226670464638,
      0.262845803657939,
      0.0632957094454038,
      0.0917028162267135,
      0.104947185604045,
      0.220361564473684,
      0.325560430382219,
      0.474093931067097,
      0.255181017187402,
      0.282193175838041,
      0.205351314486684,
      0.1776058893394,
      0.43876974874264,
      0.223076146992458,
      0.168049357602015,
      0.0751091638690825,
      0.181784476484623,
      0.309694814841382,
      0.140517759745647,
      0.179521075603949,
      0.0754836338088059,
      0.121963848616776,
      0.180537600674748,
      0.258175059154858,
      0.152167973212981,
      0.0369709905591293,
      0.271111900324115,
      0.143478212890919,
      0.220755381238625,
      0.98798461283107,
      0.571375554112285,
      0.558795162832534,
      0.528193519932884,
      0.713997952847075,
      0.440296313480627,
      0.710709761103823,
      0.867891187914089,
      0.435357483127246,
      0.184293075341513,
      0.458122015436431,
      0.15975586488322,
      0.23345759450997,
      0.0991206800271112,
      0.144921377320456,
      0.175596147546179,
      0.291273341648115,
      0.784812251225495,
      0.336342074949836,
      0.212252961982332,
      0.226585565950729,
      0.0448715714434783,
      0.199550247066221,
      0.228431273208972,
      0.193674556338332,
      0.111802509552894,
      0.0580640118805976,
      0.352007779883941,
      0.173500372358803,
      0.14881228878116,
      0.109034791707749,
      0.0632710692303665,
      0.118301462155678,
      0.209018042069985,
      0.160752115658914,
      0.0718310091327643,
      0.0571295045881157,
      0.322506871154579,
      0.282225082513391,
      0.249617058107694,
      0.0972231632306052,
      0.0918106830177105,
      0.247322196359462,
      0.216991262810034,
      0.168300995519528,
      0.0614141422338828,
      0.147217507938345,
      0.411766677045755,
      0.175603345013085,
      0.0811612345289211,
      0.0649706570417105,
      0.210673466061382,
      0.0292743598876534,
      0.0406462850768377,
      0.0807809189864069,
      0.080474894852205,
      0.19097759264595,
      0.245586996611254,
      0.138505509469722,
      0.184867197784515,
      0.174224416399467,
      0.358997781945839,
      0.574982202794139,
      0.680231046770094,
      0.913160052350634,
      0.613463258155343,
      0.680887123794627,
      0.622214136350648,
      0.19363171038627,
      0.0950029246361835,
      0.246031020217139,
      0.199752861982853,
      0.168806666393293,
      0.215340628661403,
      0.146311938241884,
      0.0844154522412192,
      0.158333079282056,
      0.151573122098805,
      0.194341403242324,
      0.166647998673831,
      0.214691433023949,
      0.487922486876826,
      0.799742132909636,
      0.840706161605841,
      0.647702188300856,
      0.420952114089379,
      0.898927496243416,
      0.251374344001903,
      0.256137615613961,
      0.0704885017066402,
      0.162296230217354,
      0.0839952803665652,
      0.0858261519396701,
      0.0202246687122487,
      0.016878334741046,
      0.0949814847498533,
      0.528343366986178,
      0.537969341202419,
      0.429229098486173,
      1,
      1,
      0.883631499098812,
      0.961453449916775,
      0.506568168563085,
      0.304753951682066,
      0.441306174691221,
      0.967276905443978,
      0.666673240242025,
      0.279532268310196,
      0.959430560917275,
      0.077844995440307,
      0.759868696873626,
      1,
      0.840671420925863,
      0.934849107337997,
      0.170897169720603,
      0.804796011465337,
      0.806519738915895,
      0.808076788703934,
      0.999026829760121,
      0.984570630784188,
      0.296422423815409,
      0.654606570998066,
      0.201019781612017,
      0.30738388821633,
      0.59643643148742,
      0.801233044829315,
      0.401875009435883,
      0.36512515628041,
      0.678568793115291,
      0.134859765524147,
      0.953581773236943,
      0.923820678944413,
      0.863508130833201,
      0.721726269200964,
      0.178327887232345,
      0.988863528796043,
      0.614158342831383,
      0.897011757177073,
      1,
      0.992198751361588,
      0.836591741544709,
      0.727410914406309,
      0.143881114286131,
      0.248173674383865,
      0.448270181876884,
      0.222889670293938,
      0.204573300075772,
      0.817561432460794,
      0.872461252854274,
      0.881789123347277,
      0.767806651336754,
      0.328277891481032,
      0.915672753821903,
      0.99819103938873,
      0.911344984126661,
      0.673485305643484,
      0.402492922664039,
      0.900604410635986,
      0.611630200661939,
      0.816036422582751,
      0.67202288888047,
      0.549073727447101,
      0.218763681255206,
      0.434064983804458,
      0.228758498900189,
      0.320866908645261,
      0.383135261326784,
      0.686751643160578,
      0.417757491407066,
      0.11599421971307,
      0.768551899170501,
      0.606470504794694,
      0.993424249859857,
      0.749366119146424,
      0.483472346376089,
      0.624930547229612,
      0.313574114904939,
      0.182074193741229,
      0.24027033934217,
      0.0595583060910602,
      0.297796715298557,
      0.228408578922895,
      0.216665668545577,
      0.120718282441208,
      0.0436101325574768,
      0.182688693369655,
      0.244039681041945,
      0.205964713985003,
      0.195211766816183,
      0.139079079022217,
      0.267489687623005,
      0.356226978373816,
      0.228677638315641,
      0.133639220004096,
      0.11736937262034,
      0.372397170300393,
      0.237487961518337,
      0.239662367333685,
      0.117763926109771,
      0.109198178782999,
      0.288213962072116,
      0.193374169127838,
      0.16794482972188,
      0.0835076205605506,
      0.0673599421614096,
      0.242915918322338,
      0.230436445525109,
      0.119016306968978,
      0.198024847129252,
      0.337384863522741,
      0.0831303527506064,
      0.166844765041165,
      0.247752426918297,
      0.351126581248511,
      0.742696453318767,
      0.413551935785765,
      0.198550155475394,
      0.236543556073046,
      0.0624068096406441,
      0.195326951727875,
      0.299399217468089,
      0.216249826814022,
      0.180052566492573,
      0.0469187717081527,
      0.186563354510982,
      0.278025184391535,
      0.192812622530972,
      0.231437459634519,
      0.101186221094651,
      0.272433003200148,
      0.34037940968841,
      0.276987685665392,
      0.176740410734577,
      0.0384965948181104,
      0.22869542787695,
      0.475332551739996,
      0.976524039211717,
      1,
      0.970864848659831,
      0.762430766665518,
      0.392917129712273,
      0.206638347691285,
      0.241046986161802,
      0.590959275122991,
      0.574509122369615,
      0.50405886852889,
      1,
      0.775270694779913,
      0.378637470559959,
      0.430049973321624,
      0.526770906226432,
      0.486682008526945,
      0.282417094108634,
      0.339392478685573,
      0.529689518093647,
      0.257427710744034,
      0.212073223719285,
      0.17866892611778,
      0.123905913125669,
      0.441928872898018,
      0.210303217132598,
      0.17852595329247,
      0.0767833174054148,
      0.101904324665924,
      0.258741818269958,
      0.220064175842665,
      0.215184455686053,
      0.122239150587388,
      0.205976497424471,
      0.596170351404855,
      0.410618072701977,
      0.222205664111967,
      0.094558733546047,
      0.257977351448642,
      0.398326711253,
      0.260598810941748,
      0.234421297786518,
      0.0653427896875292,
      0.25668750850463,
      0.356485328116287,
      0.144820761616829,
      0.145093997342035,
      0.0452023272324054,
      0.148895784448995,
      0.292566176186778,
      0.256288474573773,
      0.0792059810953228,
      0.275229368245741,
      0.286621206147084,
      0.136427790457735,
      0.283220563339803,
      0.192113725945243,
      0.637340259257692,
      0.843003299492649,
      0.595769751478237,
      1,
      0.992156268766912,
      1,
      0.648961344485887,
      0.557766655560287,
      0.186536961230896,
      0.330456981122297,
      0.308882245323378,
      0.298723363901826,
      0.533813167306266,
      0.891831079363068,
      0.89307122599636,
      0.868003421519285,
      0.495473407785715,
      0.620157194251889,
      0.999040439499545,
      0.914627834069262,
      0.908814090197475,
      0.41584153541416,
      0.673234394585079,
      0.76926864665135,
      0.638223734016485,
      0.917013456898161,
      0.573335344309122,
      0.287172392178027,
      0.346602091770169,
      0.409536396943382,
      0.19010497975989,
      0.313162201001773,
      0.603696760130086,
      0.656547818145322,
      0.166746143656118,
      0.303923737446697,
      0.698124001438033,
      0.900878571698593,
      0.908712991718585,
      0.728502681301385,
      0.307194805852032,
      0.667462765552063,
      0.207480940072685,
      0.222753939338292,
      0.0850530530751522,
      0.164273398881727,
      0.316037267144977,
      0.195242246013122,
      0.168350823078208,
      0.0483941823524477,
      0.0607422904182354,
      0.282743666098316,
      0.201468767775007,
      0.223705752307362,
      0.0960760043689738,
      0.280227400053537,
      0.308524098830545,
      0.313217935636661,
      0.187087486042789,
      0.083407114338048,
      0.252944352875429,
      0.348735932089397,
      0.227685151668089,
      0.20483859859408,
      0.0569324460712709,
      0.216946697975819,
      0.235896439984945,
      0.150288820455258,
      0.156719981409758,
      0.0529176030625167,
      0.1616571959621,
      0.234041378682571,
      0.223113736096874,
      0.0885682209517026,
      0.359503401166672,
      0.185178228247707,
      0.121399934286807,
      0.198302721265299,
      0.369016741894845,
      0.686011947486692,
      0.731322378618568,
      0.253577482473119,
      0.179211091224992,
      0.208234663269975,
      0.0734781168243748,
      0.322961961459425,
      0.221770462390256,
      0.201319108288232,
      0.103208258852092,
      0.0456394595143423,
      0.296183456173071,
      0.228535365968398,
      0.208745000885386,
      0.155144263602743,
      0.111320986501659,
      0.347364539047055,
      0.40501204019398,
      0.212279370581955,
      0.0903386481733975,
      0.0905243297843971,
      0.299287326160243,
      0.796411952876093,
      0.999848918799355,
      0.97743331639923,
      0.879650721235051,
      0.623374719706397,
      0.212296675912023,
      0.194906489200283,
      0.432313048139547,
      0.591791132952864,
      0.491776585283351,
      0.854454899042979,
      1,
      0.312382093822618,
      0.50781434832241,
      0.447355072146471,
      0.60385695925231,
      0.340173922342643,
      0.329076757203235,
      0.456884599098094,
      0.371171576317629,
      0.209595359417354,
      0.264498196944146,
      0.060518926780512,
      0.36616906392112,
      0.277781194879155,
      0.189247752222344,
      0.139965972556612,
      0.0390181727261437,
      0.192629041915744,
      0.267271355641961,
      0.199609029311837,
      0.20725159254613,
      0.0923551825135501,
      0.511687055436846,
      0.487711824961943,
      0.276583458218248,
      0.164410657751176,
      0.121577425192233,
      0.375602820136036,
      0.280906707792064,
      0.260827324934931,
      0.191404109699614,
      0.0541880536351552,
      0.448291477775045,
      0.196328095253372,
      0.146593508026228,
      0.114297782500991,
      0.0842755418274971,
      0.243330222322638,
      0.2324361209413,
      0.190878127195524,
      0.0827283036035279,
      0.406372568346395,
      0.158284172225764,
      0.166588381286559,
      0.287605029952889,
      0.268633404351414,
      0.882243954986992,
      0.666438253204449,
      0.229941108746977,
      0.23579933321867,
      0.178438603982903,
      0.328900983177505,
      0.35292601986427,
      0.203532963268694,
      0.175479712274772,
      0.0558729766518846,
      0.0979143093852322,
      0.320969557593421,
      0.222296260537108,
      0.259757614913009,
      0.124632506071901,
      0.27507876619215,
      0.461516909834763,
      0.515664289359346,
      0.269148524658544,
      0.0867775948605184,
      0.211239660652017,
      0.628835517042668,
      0.939058221785115,
      0.614620203088748,
      0.820534990786502,
      0.667446025495304,
      0.510062041078284,
      0.197878876370906,
      0.432982613962234,
      0.225532272843721,
      0.32517733447396,
      0.383183362048901,
      0.599925555786803,
      0.416773828366241,
      0.114501914966892,
      0.766564198050596,
      0.569583152592962,
      0.975846109249879,
      0.82432845362126,
      0.59073187277713,
      0.690689023366451,
      0.312038965472838,
      0.175117634074584,
      0.190037374798732,
      0.0718623116117459,
      0.324897840018056,
      0.223977604587767,
      0.196776993653334,
      0.10368224622708,
      0.0523809152733883,
      0.208863109875627,
      0.240304432164892,
      0.196498721951812,
      0.170790507158827,
      0.076524809983072,
      0.244114790446087,
      0.369910313713568,
      0.223884370834292,
      0.117551665987629,
      0.0960377719136583,
      0.368925804136907,
      0.249444958804552,
      0.210951646950085,
      0.0758724318182757,
      0.141677980341553,
      0.299706694308188,
      0.159568336659018,
      0.140299461163794,
      0.0421985988172646,
      0.0972240131857897,
      0.270157854397705,
      0.239791592426758,
      0.134622901444071,
      0.146356100693428,
      0.310658140028967,
      0.0903304567662756,
      0.147590937710308,
      0.203023618953431,
      0.226651970753812,
      0.354376146993569,
      0.510176243962245,
      0.743135908256209,
      0.670205963563491,
      0.464807068224868,
      0.554454490722415,
      0.415147852474815,
      0.141492111157066,
      0.202403320383451,
      0.653919686814852,
      0.3903557330358,
      0.463063594563731,
      0.45411083665705,
      0.71302307364662,
      0.764327796063029,
      0.478026143010313,
      0.598603371477729,
      0.900628598616847,
      0.978117626558381,
      0.0872074259180485,
      0.442574544919627,
      0.6034449420269,
      0.619168701225238,
      0.710539622506529,
      0.290584416261959,
      0.807366395515723,
      0.27319940218615,
      0.198245471545951,
      0.270047445224093,
      0.770678823628477,
      0.347408292500415,
      0.461458413157119,
      0.574326825075902,
      0.622745398844231,
      0.59865623930167,
      0.529587497233683,
      0.513912420468174,
      0.540826119974417,
      0.535133082587681,
      0.539654684112026,
      0.628433461729939,
      0.508805010247889,
      0.335257474850812,
      0.245111555122556,
      0.329200020504546,
      0.509634171301152,
      0.499684231355079,
      0.317632602761386,
      0.114563840551828,
      0.125823121336196,
      0.438373793203886,
      0.439833504370523,
      0.216298587300837,
      0.417330110654201,
      0.0981923116078484,
      0.513695093167137,
      0.190726882842225,
      0.294588206639837,
      0.340761617617186,
      0.226464539664238,
      0.456757137601364,
      0.402147546963746,
      0.267910586778238,
      0.13194638696789,
      0.425146148039854,
      0.175066128711507,
      0.218428319278122,
      0.292442875793476,
      0.162065189855484,
      0.24016777393285,
      0.604963818239142,
      0.468832394957836,
      0.186741434790923,
      0.47525100472029,
      0.195396240201652,
      0.259727017514106,
      0.167056968715677,
      0.229819977405859,
      0.370401007153174,
      0.374991677013553,
      0.179986102096147,
      0.231899108936109,
      0.114716162981541,
      0.19494754775032,
      0.536301822636474,
      0.2624472108788,
      0.268393604588233,
      0.301078271620758,
      0.255367318850461,
      0.321061883359064,
      0.398735201269387,
      0.220984069786884,
      0.132046270739942,
      0.302573302630081,
      0.308215998134861,
      0.391708149403622,
      0.246374215227335,
      0.138229673107498,
      0.356948991887875,
      0.654395927234072,
      0.426615513996393,
      0.227781519416238,
      0.149350128248594,
      0.261388742372982,
      0.220840357718262,
      0.23102611285437,
      0.325500377075585,
      0.273122251497171,
      0.393471640478285,
      0.292229952795111,
      0.390833030938083,
      0.175687431648183,
      0.236319698017561,
      0.298301736597808,
      0.203988294660173,
      0.267530588366299,
      0.195881137244395,
      0.229391918447433,
      0.139756277146664,
      0.261643102682256,
      0.312468758956659,
      0.228507427104739,
      0.151901430816447,
      0.173760154185438,
      0.0421407039053199,
      0.168269742025878,
      0.202035304028935,
      0.179975562188898,
      0.0993678989232642,
      0.028800846698657,
      0.274725840620443,
      0.277665398507299,
      0.224769569321253,
      0.206849664033474,
      0.127999131469988,
      0.161637294545877,
      0.416400662973263,
      0.265872263028976,
      0.134102707729785,
      0.121040536143906,
      0.239503411815907,
      0.185489166350462,
      0.1869812977688,
      0.0744749657246687,
      0.0805795653350728,
      0.196046714797529,
      0.16572448819342,
      0.154097888884249,
      0.0486721741016173,
      0.0638426616679561,
      0.255659245178854,
      0.221569258450339,
      0.101619885593534,
      0.158803518047735,
      0.393409687001567,
      0.09273575096933,
      0.097870616457757,
      0.173168050729342,
      0.184879457306737,
      0.328741356119103,
      0.305313423615639,
      0.147442652853284,
      0.192825244430078,
      0.0401659589017503,
      0.103441450810877,
      0.238643487207897,
      0.181300538335932,
      0.13515793482857,
      0.0233964085956723,
      0.130472821187768,
      0.363384727266189,
      0.205128078920868,
      0.264559262968571,
      0.111233697760955,
      0.216924841081649,
      0.333619361857263,
      0.322449862718446,
      0.193231852146084,
      0.0688820080570967,
      0.193327697914553,
      0.250540828546953,
      0.196492843025217,
      0.0523122200338091,
      0.284339096574297,
      0.463543555954572,
      0.186469809082205,
      0.185823354124524,
      0.118569738026191,
      0.314745125105551,
      0.258959465070771,
      0.214711901778282,
      0.169895049750922,
      0.233774477563792,
      0.252705123294546,
      0.216294855267164,
      0.249734803764645,
      0.306716423715322,
      0.166365942988907,
      0.347580898372888,
      0.35273018410951,
      0.190897870645571,
      0.162029513578141,
      0.133253077538032,
      0.0765193894851181,
      0.269051660156295,
      0.188801212197078,
      0.15125055300994,
      0.0440050503841875,
      0.0588183534932296,
      0.395623538556733,
      0.233183228367924,
      0.250544300651512,
      0.141984553155537,
      0.144858797451855,
      0.194666683731673,
      0.447497320712973,
      0.23680166317483,
      0.102057277341331,
      0.167920659193508,
      0.331602011103797,
      0.17815438882575,
      0.176270994144675,
      0.0440881205125212,
      0.12196405777002,
      0.233014175663727,
      0.148752818130407,
      0.146047232187483,
      0.0273171788811304,
      0.176683660407061,
      0.310736934672061,
      0.238575499898934,
      0.0628109254737455,
      0.274103179241294,
      0.311195708994091,
      0.095578757014921,
      0.152063084645096,
      0.22988670741796,
      0.255818846298223,
      0.370780933747784,
      0.17109919494934,
      0.167152606971874,
      0.336561693714716,
      0.382470874406231,
      0.341031802911139,
      0.275335585693098,
      0.365514907072909,
      0.194503367753537,
      0.428611382288967,
      0.301556306998295,
      0.201067623516986,
      0.233395520734496,
      0.32369044534489,
      0.364887647415902,
      0.276044430110335,
      0.254280283353984,
      0.196051779739474,
      0.619225953341336,
      0.473118917004191,
      0.348512277778009,
      0.178450011482289,
      0.224638167766472,
      0.316676409234038,
      0.164980918659821,
      0.265724146175224,
      0.285385608651063,
      0.355032927780588,
      0.397115273519073,
      0.245859944264887,
      0.306977453040246,
      0.131461107544548,
      0.433103742982697,
      0.197132594358529,
      0.254822054121736,
      0.169294559502381,
      0.221648133781111,
      0.159274109373463,
      0.303574228873845,
      0.249538262765001,
      0.301521602356204,
      0.166510454265748,
      0.183603325781978,
      0.0552389123681188,
      0.0918259674956489,
      0.240829042883779,
      0.17959371125456,
      0.148809721583746,
      0.0249567074946914,
      0.0803825316832114,
      0.391236584443161,
      0.216780490630164,
      0.255017529416661,
      0.115011769526441,
      0.146488454906602,
      0.349907992862022,
      0.364173626585721,
      0.207266685701223,
      0.103279031922261,
      0.121651098206206,
      0.270178651938988,
      0.18448612258121,
      0.163935105522837,
      0.0311685898944634,
      0.104204684387262,
      0.211347344879871,
      0.141250176134174,
      0.144949579945123,
      0.0250385202569449,
      0.148990875841796,
      0.24559202926109,
      0.224287100599875,
      0.0478163734476032,
      0.401693451459713,
      0.207834027091046,
      0.101683569597562,
      0.169158843851883,
      0.209593361281682,
      0.296611072698527,
      0.496499164895131,
      0.206195128654807,
      0.148314431875627,
      0.140827988956159,
      0.0621122164307498,
      0.192612806215263,
      0.200645887134756,
      0.172302519837176,
      0.0694550040630237,
      0.0391683565787155,
      0.327382983887134,
      0.251469675268582,
      0.239608776120844,
      0.170809072511237,
      0.118423861679552,
      0.203827511956615,
      0.446091965312866,
      0.237290111630883,
      0.109099438566971,
      0.129423387200709,
      0.197387140041281,
      0.226358306064777,
      0.126491285568443,
      0.135108209548992,
      0.41565900231786,
      0.339805080565702,
      0.171219542317295,
      0.144655042077793,
      0.216822123886286,
      0.334390699493699,
      0.22714682069179,
      0.183646293350242,
      0.18270689892363,
      0.200476093308515,
      0.30192849668801,
      0.225917414192297,
      0.304336000068817,
      0.188934664871143,
      0.219866303499013,
      0.401263898838438,
      0.286657835379435,
      0.15314985125278,
      0.195426184992423,
      0.0415462853993452,
      0.183524126067175,
      0.229398256727723,
      0.171371613549559,
      0.121604029776023,
      0.0193504194581729,
      0.230694688404459,
      0.333118074169849,
      0.208744213777109,
      0.238116817530059,
      0.109523529282254,
      0.159301910988593,
      0.3686670982966,
      0.312346288283287,
      0.183255617733787,
      0.115712229001803,
      0.262749636914897,
      0.215772606078818,
      0.19055892092581,
      0.143294212763367,
      0.0417077720707468,
      0.2074140504137,
      0.188837887872413,
      0.144624280100927,
      0.105471348800821,
      0.0838803253300542,
      0.281001081463984,
      0.220863242549644,
      0.184003100969368,
      0.0676693200951151,
      0.454833267839021,
      0.132067489337658,
      0.0968431941452931,
      0.19953110331075,
      0.256124522247428,
      0.33302393973159,
      0.376769035493234,
      0.169341876596914,
      0.172383267219728,
      0.0979679312434612,
      0.122472586311335,
      0.308241538720698,
      0.195220350881235,
      0.165390468386367,
      0.0508387904975674,
      0.117756346210645,
      0.414900685695108,
      0.216859002383487,
      0.265993810324951,
      0.135525323306223,
      0.172727868814777,
      0.252454957989361,
      0.427236910424423,
      0.230408627267828,
      0.103133770194806,
      0.207637569216636,
      0.233076331249105,
      0.167832012084619,
      0.268236925327481,
      0.223909176524973,
      0.209029943138966,
      0.294030888633479,
      0.261746376039295,
      0.391732848329456,
      0.29523379972972,
      0.387478417475992,
      0.187506163375369,
      0.237117219978184,
      0.297305230519355,
      0.202624643553294,
      0.260939198758401,
      0.203521591294827,
      0.224151919664688,
      0.0629971061425759,
      0.140983325285611,
      0.312040611101244,
      0.221803206015142,
      0.146188058751995,
      0.159761099641977,
      0.0546718976358306,
      0.199553287970436,
      0.202453695077448,
      0.180808029450518,
      0.0894350593693148,
      0.0426597794409886,
      0.28935721293941,
      0.276656173649819,
      0.225946645171773,
      0.20141122762755,
      0.132477042000307,
      0.121249549256841,
      0.424299938575318,
      0.264525354628727,
      0.138794398485781,
      0.118250412809396,
      0.246190330422417,
      0.192332703956622,
      0.178367985519087,
      0.058375948569894,
      0.0855241492032014,
      0.214626979653567,
      0.158024203325007,
      0.146340916375649,
      0.0424544122597919,
      0.0756603833081384,
      0.267195718122854,
      0.230258071110846,
      0.101864041082091,
      0.201896366507308,
      0.386629455395323,
      0.0963059529576974,
      0.110512181038911,
      0.125428180897166,
      0.126987301755115,
      0.354341643761921,
      0.262542617011622,
      0.16869577746289,
      0.290838338551751,
      0.350186155399279,
      0.329075600993891,
      0.122526529512225,
      0.145602416032076,
      0.145621152117726,
      0.185624097737292,
      0.290570288876146,
      0.328410906827585,
      0.217033666271887,
      0.185668630952449,
      0.513826489223731,
      0.379614676659675,
      0.31320172141011,
      0.314723463354643,
      0.590207521922876,
      0.105255746983178,
      0.313430516520719,
      0.191278876890095,
      0.199277159128401,
      0.264807259211104,
      0.331181068502819,
      0.319798185062829,
      0.105850280339938,
      0.177107549405517,
      0.111997124347623,
      0.241226425509796,
      0.302753830771648,
      0.199334314228069,
      0.258071178737959,
      0.321593675227063,
      0.367210446332779,
      0.149600201597242,
      0.195754832354495,
      0.0334429710863628,
      0.0297938190203953,
      0.117632720126816,
      0.632274609839462,
      0.696983943621314,
      0.818016655447488,
      0.0872185318210957,
      0.148135602850098,
      0.194053570988826,
      0.243773199019086,
      0.511900070100258,
      0.791384521200101,
      0.956210943956914,
      0.40577549561526,
      0.454529737557131,
      0.480181599529508,
      0.182572110585006,
      0.850284339725083,
      0.316001923271085,
      0.0673757200126218,
      0.436909118369672,
      0.275396928656393,
      0.76356855385531,
      0.302344363625598,
      0.382067749219699,
      0.534271196713144,
      0.134647030207826,
      0.118368097402863,
      0.673707537999476,
      0.451685493673604,
      0.543198730930029,
      0.991591292846923,
      0.731078492236241,
      0.350247276911927,
      0.786648903935317,
      0.296267989598855,
      0.448351687102333,
      0.695967079490608,
      0.105516405787322,
      0.287640586383827,
      0.303526081494181,
      0.486068240959849,
      0.764462649440755,
      0.148036083398845,
      0.629450265946601,
      0.0847542245290342,
      0.176625359996752,
      0.307649700146189,
      0.238734674888343,
      0.286947030829092,
      0.882029855114043,
      0.972218765733153,
      0.980353086742267,
      0.755810976424154,
      0.990629508489233,
      0.775818477231861,
      0.6707453348721,
      0.490777183411949,
      0.752761080799495,
      0.978801133330589,
      0.567884575500256,
      0.546195647623892,
      0.354356917548694,
      0.729274589154832,
      0.718255032972384,
      0.133219715512344,
      0.411709596955105,
      0.303119940461807,
      0.357209495022312,
      0.422290568180513,
      0.953939188222775,
      0.712535636184717,
      0.509032730414035,
      0.865848047574467,
      0.749642953918082,
      0.375622287407988,
      0.378421985454154,
      0.413114606769142,
      0.696529189592221,
      0.840503258074011,
      0.438127591883424,
      0.473429324538334,
      0.361115309264411,
      0.696772262816447,
      0.204158305301975,
      0.130342514014704,
      0.148068344708715,
      0.0825155244039179,
      0.205783350889926,
      0.270312547191259,
      0.243849886963115,
      0.128019848962062,
      0.0604110308992123,
      0.611731452933839,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.796589404155463,
      0.194986308306923,
      0.167391828539377,
      0.0686408564888596,
      0.146566069565389,
      0.238864440850591,
      0.216639391587631,
      0.180894584323779,
      0.0965763247279346,
      0.177693544086211,
      0.335330414996092,
      0.236256852478592,
      0.16709617523218,
      0.404152098104137,
      1,
      1,
      1,
      1,
      0.999715674292362,
      0.80057744837424,
      0.368393419499476,
      0.137702224626055,
      0.165302020477505,
      0.0891566281872632,
      0.127330516103353,
      0.317537916118465,
      0.236233303483444,
      0.179678561516404,
      0.0609602327705812,
      0.255594327725967,
      0.999332111025814,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.648278053746185,
      0.217834260322683,
      0.107378151525269,
      0.222826631628506,
      0.526407864281031,
      0.554819651302124,
      0.956501565727085,
      0.999905724957409,
      0.832705916268506,
      0.551555947300745,
      0.849432574192891,
      0.46640997747683,
      0.363551070622036,
      0.476148256942097,
      0.716237450970558,
      0.842723595903268,
      0.725583223724802,
      0.688947017000404,
      0.563909137520414,
      0.743298082536996,
      0.174409139962377,
      0.137149877700748,
      0.0935098736697129,
      0.0726519884666272,
      0.332476776422021,
      0.275225726796233,
      0.238274166783836,
      0.0876057973869416,
      0.0622850490619829,
      0.862573537444938,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.664263422633837,
      0.177376540664333,
      0.154416892026944,
      0.0522511474069725,
      0.20150900326672,
      0.325773834355866,
      0.210183573742176,
      0.206153938882295,
      0.0611669746970158,
      0.268588661247399,
      0.385433636789156,
      0.233977178650201,
      0.154410298087617,
      0.503459406305707,
      1,
      1,
      1,
      1,
      0.730902224682607,
      0.850362335320678,
      0.538877482987097,
      0.1816689324828,
      0.301774575442529,
      0.143942693341259,
      0.441190837016304,
      0.519635173369634,
      0.990673662134555,
      0.978944464983265,
      0.969319654295269,
      0.744347547353729,
      0.878562216892419,
      0.669317016521593,
      0.697184913077957,
      0.460072016798373,
      0.959330614958261,
      0.875111312407435,
      0.441083800668715,
      0.578808948764892,
      0.451219315755847,
      0.930107063449347,
      0.271567209126422,
      0.294508594791676,
      0.485677574269957,
      0.175145231532933,
      0.414170643574156,
      0.715364325900774,
      0.881421218891437,
      0.589748350061701,
      0.654548504730002,
      0.820691612804039,
      0.55442396506132,
      0.424042511409346,
      0.388070291474287,
      0.584664203837414,
      0.767860372507199,
      0.58885265533392,
      0.423188845717885,
      0.524963301529071,
      0.565934805964272,
      0.427317948464452,
      0.144507716258248,
      0.160271312745616,
      0.0886794491672039,
      0.125519169233476,
      0.318653047898068,
      0.252026953743544,
      0.191353787140476,
      0.0757814084037767,
      0.156086437542352,
      0.973475794498544,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.395361848376558,
      0.174604789220879,
      0.143384391879201,
      0.0903983018121881,
      0.124752166419162,
      0.26402039432681,
      0.179465523698089,
      0.176661622752497,
      0.107738033722606,
      0.279267126937541,
      0.263259235096445,
      0.226493044479124,
      0.131499047336884,
      0.778494862758365,
      1,
      1,
      1,
      0.972919128046618,
      0.794108417742531,
      0.483246620905738,
      0.18342096222698,
      0.13451012791791,
      0.131855369450596,
      0.154989785999662,
      0.243694513845727,
      0.272671854778903,
      0.227349034096812,
      0.109846084355117,
      0.0910932789900626,
      0.721565556113349,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.947083814351329,
      0.307465886096775,
      0.185118015263242,
      0.159908255672483,
      0.301574504804572,
      0.585454296811958,
      0.754064148924048,
      1,
      0.980839354536005,
      0.668716806091902,
      0.745397592145365,
      0.597678420270966,
      0.435826339903756,
      0.319903591217555,
      0.689178686525464,
      0.717807252450485,
      0.728794374896318,
      0.721294444155665,
      0.487865537617623,
      0.859090985569823,
      0.394257937320692,
      0.130975915153851,
      0.155627105076435,
      0.0210112613456522,
      0.201543253838427,
      0.308308453154373,
      0.259583099907321,
      0.191726636096975,
      0.0333349351938219,
      0.418541064267264,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.966953262448821,
      0.258851157637741,
      0.175071228240335,
      0.114177789615,
      0.109413795641588,
      0.282534730861206,
      0.247139018862222,
      0.207653952703971,
      0.163080118083186,
      0.0806200185385711,
      0.45103771530075,
      0.238743098194486,
      0.197680605053563,
      0.166473627975814,
      0.925468874606618,
      1,
      1,
      1,
      0.890554125232376,
      0.763554830130844,
      0.654156266186812,
      0.152365957810255,
      0.162645882325727,
      0.101307285315214,
      0.123822879321135,
      0.444791053605804,
      0.283844796667337,
      0.234414116490805,
      0.0915333604056924,
      0.164374135439545,
      0.959866932947406,
      1,
      1,
      1,
      1,
      0.996739989834738,
      1,
      1,
      1,
      1,
      0.799621175081685,
      0.146939578117785,
      0.416553461775089,
      0.298939962049189,
      0.347505725853367,
      0.405637295369115,
      0.940149702581571,
      0.717688582104105,
      0.514045098067555,
      0.82243334157989,
      0.752511939124018,
      0.370485244872537,
      0.373597360625674,
      0.415624078837829,
      0.681708227361361,
      0.841651307513898,
      0.433276087630189,
      0.601677507333813,
      0.381590995314172,
      0.247894607582487,
      0.198921488843396,
      0.132719028551805,
      0.144099084408174,
      0.0718470962745201,
      0.3075819773434,
      0.284924158532078,
      0.243822153654513,
      0.133564481936884,
      0.0483582225860079,
      0.624290143129543,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.778894725004476,
      0.197141460132763,
      0.170768238876862,
      0.055060229229818,
      0.10963546925053,
      0.258733952851195,
      0.219506799193336,
      0.181943040098818,
      0.0930390708441748,
      0.125563145483421,
      0.3485849286458,
      0.254008866066944,
      0.126179499003001,
      0.28554706768993,
      1,
      1,
      1,
      1,
      0.808848939794903,
      0.790135687171079,
      0.548558781652852,
      0.166623841320837,
      0.180027244401519,
      0.150124937913071,
      0.278254592855046,
      0.181195132267285,
      0.421936503076247,
      0.692355637691086,
      0.710004328899055,
      0.481059784393607,
      0.822956429370417,
      0.807284019096397,
      0.826400437366663,
      0.492151862519387,
      0.934437573812739,
      0.913662735349134,
      0.830120951560792,
      0.464279962556582,
      0.145391120272026,
      0.904249564124542,
      0.36099403013261,
      0.177916939397714,
      0.145733369671262,
      0.263420714465605,
      0.299247598592848,
      0.301158422850664,
      0.512398319010433,
      0.759750996116711,
      0.364970416850972,
      0.674614092929324,
      0.84328832793316,
      0.909186300790604,
      0.667107699508935,
      0.530984860725592,
      0.797440184091475,
      0.840121491681268,
      0.927192779735988,
      0.886001128303834,
      0.628607014296715,
      0.646741822499509,
      0.50462461970328,
      0.347271351664785,
      0.0591771249043843,
      0.0827746459603414,
      0.157607602025553,
      0.288897140558223,
      0.40735337571132,
      0.530864109791582,
      0.574736116061331,
      0.448399092758802,
      0.186675697600593,
      0.542269149128827,
      0.162982396091948,
      0.543642100061891,
      0.272568547024076,
      0.0435950241578607,
      0.398295496315963,
      0.129925207018546,
      0.545919247695013,
      0.164997414702151,
      0.103666082525685,
      0.15507341732952,
      0.134860899117789,
      0.142407771563825,
      0.287656311600746,
      0.31650920841502,
      0.401826946868999,
      0.35792667865009,
      0.492373948503455,
      0.298566015541462,
      0.304567348222325,
      0.561728941106881,
      0.239234812738877,
      0.464931916938042,
      0.101988712400635,
      0.247340012925672,
      0.467549941629917,
      0.150087529335646,
      0.54806481759738,
      0.0994585231983989,
      0.163247472543206,
      0.0750502512764396,
      0.146891788192468,
      0.102787546174559,
      0.216420156895909,
      0.226183972204006,
      0.208876137592579,
      0.220262883101993,
      0.418198151438427,
      0.322696337346274,
      0.190485177165755,
      0.0859461092334084,
      0.165115269762755,
      0.115152933656887,
      0.328243339560096,
      0.187286159831417,
      0.098401895264405,
      0.117752193012056,
      0.153786483474317,
      0.30230623329132,
      0.132881032784563,
      0.114709185598679,
      0.271112304938583,
      0.351198575896835,
      0.264954949352307,
      0.279333895004027,
      0.203527583164706,
      0.230931329872577,
      0.223943130598257,
      0.328540529510957,
      0.257440403321278,
      0.123858772556404,
      0.15107262929114,
      0.112778226653598,
      0.247526420571955,
      0.144983085605852,
      0.128342299130337,
      0.163975113843448,
      0.185227419988576,
      0.270650282434757,
      0.181621214637178,
      0.111046177107152,
      0.127292618748014,
      0.0403741266908378,
      0.284611713794426,
      0.296710745674161,
      0.255959073066138,
      0.140520955515316,
      0.0749115389264053,
      0.507904450163147,
      0.578517405257102,
      0.539663622699838,
      0.600405768800832,
      0.131031040048365,
      0.151076068726584,
      0.652565668637381,
      0.589513097833454,
      0.438830849851,
      0.131203053638902,
      0.171296272468222,
      0.148345755539996,
      0.139869698403686,
      0.0498180072453339,
      0.0727165492918848,
      0.227176583773737,
      0.189822162561161,
      0.167480822445047,
      0.0553932396132616,
      0.0891324525415507,
      0.277024795390975,
      0.23197471778103,
      0.133719401127586,
      0.203237223421311,
      0.733714201807827,
      0.243015280284255,
      0.110996030503511,
      0.202644903652739,
      0.162303749256292,
      0.275892401441043,
      0.249235635258581,
      0.112933361648609,
      0.137699988183219,
      0.0282656129029712,
      0.134916797307702,
      0.390057854298774,
      0.25955226418274,
      0.186412225262149,
      0.0627134021151089,
      0.222689338404744,
      0.722989687373522,
      0.485577733454609,
      0.686020261519303,
      0.225909354219013,
      0.146488965895629,
      0.374331061061438,
      0.667100501290735,
      0.533521942524624,
      0.155522333515945,
      0.164959970603182,
      0.230374203979924,
      0.195607319309734,
      0.0476183045015615,
      0.171309420212377,
      0.247920296135522,
      0.276735174244791,
      0.191455984863102,
      0.110331801165717,
      0.31364064468003,
      0.220185589322272,
      0.275305561607473,
      0.173266649503067,
      0.301896680369861,
      0.204841286488869,
      0.129085889979936,
      0.258667382023137,
      0.39963630005259,
      0.196112689556025,
      0.371110842648899,
      0.32898763311602,
      0.153543251669878,
      0.119290197899108,
      0.0764143545391485,
      0.0720176902791309,
      0.364698489699487,
      0.28696739095107,
      0.238578573183195,
      0.104560248938527,
      0.0851847195305601,
      0.686597186631161,
      0.51864821427107,
      0.60330538243995,
      0.456106167167319,
      0.135698472220173,
      0.216285133655852,
      0.735307088845752,
      0.555741341498956,
      0.334779559817252,
      0.118553868138621,
      0.214170411868303,
      0.137724393923741,
      0.134244798121296,
      0.0326524720922942,
      0.112425471201341,
      0.266732067055185,
      0.16236754850087,
      0.175374943198721,
      0.037570767319639,
      0.134094240976992,
      0.338821781506064,
      0.249683159941832,
      0.0927692563062511,
      0.48939641248666,
      0.638883081247311,
      0.194117746066807,
      0.112767809189359,
      0.224331831480448,
      0.34531757224954,
      0.283387267206463,
      0.207484036823674,
      0.160257453993487,
      0.0937293560245844,
      0.114086029867966,
      0.237584524404797,
      0.301059547390206,
      0.204245157386538,
      0.210831192659125,
      0.434095511636258,
      0.228894453326047,
      0.215249503755849,
      0.198927829550777,
      0.0968257820291701,
      0.287304215520808,
      0.209610182560201,
      0.156024818937161,
      0.138889667842214,
      0.104783111982254,
      0.312841677039736,
      0.147042186123435,
      0.137117415679828,
      0.258923659276527,
      0.39175569197639,
      0.178611018296115,
      0.292129284217288,
      0.220793453030589,
      0.22521176712974,
      0.293705831160946,
      0.260108053291153,
      0.287852821062602,
      0.140199604630544,
      0.188167893061025,
      0.149520762860233,
      0.24777454167495,
      0.130172008931775,
      0.115234076028848,
      0.136489927245937,
      0.196395172754954,
      0.303254436906841,
      0.234830346894673,
      0.124794427197541,
      0.134511773366242,
      0.034551994301083,
      0.0914063010949856,
      0.414881461045743,
      0.2694670787368,
      0.198665044749894,
      0.0602371694973775,
      0.133680267687325,
      0.746196648767494,
      0.487121774079123,
      0.65341945735899,
      0.280177447988629,
      0.135115431457456,
      0.356217997743775,
      0.72826380771754,
      0.540006994547173,
      0.204738826562201,
      0.117819854392777,
      0.205658615774244,
      0.140125018063339,
      0.124377396399716,
      0.0257669061994134,
      0.0945167388298412,
      0.240588678270236,
      0.160356393592789,
      0.154795953176573,
      0.0273162915766904,
      0.181629293316545,
      0.25108589390816,
      0.241167628977152,
      0.0604282067217297,
      0.622584678255274,
      0.49782428087745,
      0.109594456883612,
      0.147137989338113,
      0.177884597473655,
      0.293724784374714,
      0.384156761659055,
      0.160844690567608,
      0.114020233776398,
      0.10705977106691,
      0.06817528589776,
      0.324764590116471,
      0.291335192376967,
      0.243707802754245,
      0.121571478197079,
      0.0810222396234557,
      0.585437676209339,
      0.535994755849029,
      0.569691824930674,
      0.535807853940324,
      0.138308651156402,
      0.196703094313423,
      0.677591865387342,
      0.551748829383946,
      0.375606869091883,
      0.131358018477166,
      0.165543399564603,
      0.242260514080442,
      0.118446561243023,
      0.12461369755044,
      0.220663715216179,
      0.279003398365227,
      0.19574185125527,
      0.154194250387167,
      0.150016486553163,
      0.391399491346965,
      0.214767453373065,
      0.211391594171567,
      0.239994568492293,
      0.201865202351612,
      0.208417937944862,
      0.115206380727331,
      0.424401213075603,
      0.30219601500215,
      0.232774998582937,
      0.427129805582959,
      0.242101336489277,
      0.10949065557382,
      0.130729085379676,
      0.0238772543395753,
      0.206766001705989,
      0.348971381375667,
      0.270729444223238,
      0.19391781999189,
      0.0632014006325026,
      0.331962105292943,
      0.701770655111082,
      0.490186754624539,
      0.68067878221708,
      0.165944257009049,
      0.134399274627019,
      0.538408699525141,
      0.645843826851281,
      0.536970027294586,
      0.12664438276219,
      0.162186800064835,
      0.174525882550104,
      0.148866847277992,
      0.102373957188308,
      0.0588208217731736,
      0.193719455810266,
      0.224081247045901,
      0.173602071529564,
      0.137717637234324,
      0.0626367477294297,
      0.267382373363555,
      0.253691325712225,
      0.200476777339311,
      0.119779833008355,
      0.789508722628881,
      0.37531719156684,
      0.120853511020172,
      0.140242495299305,
      0.399526335713002,
      0.291816858611463,
      0.266499547316737,
      0.134028182172081,
      0.136964640367059,
      0.0903962759747113,
      0.146495813544732,
      0.468170989692766,
      0.279523854899974,
      0.211387365673097,
      0.0823465934282161,
      0.121389499109134,
      0.70882321664739,
      0.503346636937524,
      0.645985417647636,
      0.364174850996471,
      0.137326697988402,
      0.226986050014593,
      0.797867629058248,
      0.560048714610232,
      0.261291304486688,
      0.117123819578382,
      0.164650920215934,
      0.118370461985793,
      0.276182301889789,
      0.347578136922705,
      0.263755469766565,
      0.274653798435231,
      0.202673636411599,
      0.227185002082166,
      0.220833003052813,
      0.336903517559203,
      0.240523364850391,
      0.120810517810679,
      0.153911885257812,
      0.110681073476068,
      0.210859229000059,
      0.119330265546704,
      0.124366325976494,
      0.0435882398170814,
      0.198101117093355,
      0.221086695713409,
      0.184242721103474,
      0.116657232999444,
      0.122430513000877,
      0.0475544671650339,
      0.310978818326222,
      0.299678565364039,
      0.259108803449728,
      0.147150810989557,
      0.0797906431051534,
      0.527185739532232,
      0.570572254373491,
      0.544897004319155,
      0.606300072068137,
      0.134381456014626,
      0.109583973733934,
      0.61560196517262,
      0.592113251990213,
      0.434825567132505,
      0.120858163621409,
      0.169097843121656,
      0.149444747873851,
      0.146934426731133,
      0.0435556702830469,
      0.0994764480175526,
      0.24892310666539,
      0.191188774670235,
      0.169601532076199,
      0.0611676943351728,
      0.118074866420147,
      0.303799877006784,
      0.243439377400099,
      0.126386643010552,
      0.182342518284367,
      0.73570261525056,
      0.238301235077317,
      0.0751284878390368,
      0.102141422208814,
      0.115843662728146,
      0.262868968468335,
      0.257705395878038,
      0.180716930042332,
      0.290395838617874,
      0.269040881720998,
      0.344618836218738,
      0.204191521046942,
      0.222849419876467,
      0.381646850746957,
      0.336700469646622,
      0.410750043505358,
      0.30356324319402,
      0.369478068950803,
      0.432045784036692,
      0.47043133134637,
      0.31245013642118,
      0.179378448289692,
      0.183720092176176,
      0.153128904630958,
      0.104130531266993,
      0.283752622023244,
      0.193987974849116,
      0.166607421867535,
      0.330128594882197,
      0.24192546934327,
      0.321859686020485,
      0.210735565176236,
      0.336287509059916,
      0.242071567265026,
      0.351029641319555,
      0.394674433304209,
      0.236860598311203,
      0.258182197937754,
      0.231655363112412,
      0.267971453490189,
      0.0924768864575737,
      0.127409126412197,
      0.0220619125849721,
      0.0245356263051401,
      0.1188874702845,
      0.690058739498121,
      0.417151504234458,
      0.316012265261166,
      0.50799552470978,
      0.466624614863218,
      0.494982087267869,
      0.534751578063679,
      0.539920533696221,
      0.15333117554938,
      0.10639445950494,
      0.312938874589997,
      0.127031130798457,
      0.451448771514928,
      0.163843989267367,
      0.164165074298064,
      0.563039556365615,
      0.0679917494343542,
      0.461681714510458,
      0.148760331014729,
      0.304679102098883,
      0.252708866087238,
      0.139531947411319,
      0.122472547500853,
      0.184916805503532,
      0.355337920327595,
      0.45560244857636,
      0.412051030635903,
      0.432380103964502,
      0.0706211015382659,
      0.105838087988596,
      0.293280406507006,
      0.106666892841033,
      0.524472550113521,
      0.149746300052958,
      0.421276739829077,
      0.173786315770315,
      0.113416280956048,
      0.447406119142758,
      0.128152498977274,
      0.440333936152258,
      0.130159143521978,
      0.0872028374890913,
      0.381577569754467,
      0.287637528683243,
      0.161087523142176,
      0.338381268102618,
      0.607230190952898,
      0.615628617227628,
      0.423281558952289,
      0.558738814017749,
      0.687118580159611,
      0.496542471647671,
      0.195282007712419,
      0.29374038412834,
      0.376814787311034,
      0.312769293830674,
      0.158966578128052,
      0.109492852773632,
      0.101618258037588,
      0.131027416108995,
      0.276059899447714,
      0.17664287423543,
      0.35905248154382,
      0.477148187493764,
      0.35518742825713,
      0.678547708536098,
      0.710130886660241,
      0.552752911133505,
      0.422943405793733,
      0.273596465463952,
      0.706262193693998,
      0.366664890962832,
      0.188021861906546,
      0.430781081168127,
      0.154736251757889,
      0.22826265062256,
      0.16492090228817,
      0.13963729396377,
      0.172404870694961,
      0.205383476441604,
      0.28871241823472,
      0.214014041728944,
      0.132654700473655,
      0.152454190313527,
      0.094052859848552,
      0.59054695893097,
      1,
      1,
      1,
      1,
      0.903332436165439,
      0.340371104184278,
      0.264391023900777,
      0.250305360455955,
      0.128102982224967,
      0.120635112883955,
      0.507795944957758,
      0.299124797677037,
      0.172911961880175,
      0.0909104823924031,
      0.168105521322852,
      0.179430405211044,
      0.161990765537178,
      0.0882315181950526,
      0.13306941806453,
      0.267879905764113,
      0.171062011464811,
      0.130505305450667,
      0.0428829111235001,
      0.203411864823413,
      0.500606275583937,
      0.326631721686419,
      0.157805805977173,
      0.162215282869052,
      0.433754750270359,
      0.080787973774453,
      0.118452513634902,
      0.175355293505005,
      0.12277158623035,
      0.402829919939263,
      0.272604371452584,
      0.146757138829587,
      0.159487253225903,
      0.0655671819363411,
      0.295456324257088,
      1,
      1,
      1,
      1,
      1,
      0.518212319584779,
      0.248008867533943,
      0.319834489455682,
      0.0799503846259216,
      0.187415775340741,
      0.385528235337943,
      0.35834753672724,
      0.264493516084464,
      0.0412927410156927,
      0.129994225538511,
      0.360314662377881,
      0.543890247133595,
      0.346895897118987,
      0.460279251512316,
      0.496267116632774,
      0.842689245765581,
      0.421500608539932,
      0.266796531607824,
      0.324747808920532,
      0.759406300832654,
      0.458825294770851,
      0.195565355222647,
      0.362598401552234,
      0.178467918526347,
      0.15260077735524,
      0.399140530168923,
      0.966627586532139,
      0.300775733277932,
      0.650206157659486,
      0.361688469882644,
      0.203549236102406,
      0.157114548731067,
      0.13431336320107,
      0.103030606967279,
      0.833666045148445,
      1,
      1,
      1,
      1,
      0.769952624713965,
      0.286545761852559,
      0.268462128222029,
      0.177899703870435,
      0.0871873060553081,
      0.207075555482515,
      0.501418264324938,
      0.259099025331144,
      0.124509718286465,
      0.0859339749355859,
      0.211229884577552,
      0.170426019865084,
      0.157387738024668,
      0.0611462734361473,
      0.185481935977552,
      0.264523855986126,
      0.139113023547217,
      0.123308014604237,
      0.0255297915429714,
      0.298871016020651,
      0.453920861541803,
      0.309109962396509,
      0.09811444632123,
      0.386379791950503,
      0.333347646388946,
      0.087615673950893,
      0.0778355979881663,
      0.0850980797759418,
      0.396690425866285,
      0.292101111698185,
      0.357513143568676,
      0.350075038792741,
      0.164684434749143,
      0.152023381288265,
      0.478833845861425,
      0.713717281170093,
      0.506508266467626,
      0.425864765211858,
      0.532978951315182,
      0.75735270439022,
      0.324567779649289,
      0.275167153794715,
      0.2432740429915,
      0.43654131704781,
      0.228006263921817,
      0.197589291316968,
      0.134127208771718,
      0.0655449937011963,
      0.25856930604508,
      0.143425346355381,
      0.329667396114467,
      0.451281630329592,
      0.421601742386392,
      0.398415046759641,
      0.709563064993653,
      0.716401552008369,
      0.485357562099384,
      0.39151194368327,
      0.438526382764853,
      0.532479362111706,
      0.244392351964447,
      0.307132627234388,
      0.339468709048781,
      0.254159779452546,
      0.131221705042473,
      0.150355235632875,
      0.146362463628421,
      0.21037184567357,
      0.287561027163804,
      0.276262985639282,
      0.158184071594525,
      0.149775564424249,
      0.0712808103237286,
      0.210738138242236,
      0.961890304800982,
      1,
      1,
      1,
      1,
      0.624729142078746,
      0.260347888768614,
      0.289952367175018,
      0.082116880517777,
      0.143727941052534,
      0.386140856726909,
      0.442920264716168,
      0.24685847154669,
      0.0719342119044329,
      0.116566962470379,
      0.224483276780782,
      0.163944810973033,
      0.142918196310031,
      0.0718368436326085,
      0.234394609742335,
      0.216157178170483,
      0.136794466696666,
      0.119650923384048,
      0.0517132435600541,
      0.470659834243632,
      0.317240355151889,
      0.32828252414561,
      0.0897069642504808,
      0.419017017799711,
      0.21932898621097,
      0.0891625916130591,
      0.243936215759541,
      0.158232436705978,
      0.406509908951954,
      0.385080613002373,
      0.18875114379962,
      0.133978352227195,
      0.146758684768132,
      0.106001938032572,
      0.698232050035943,
      1,
      1,
      1,
      1,
      0.844673781457696,
      0.321934149354213,
      0.266166587090864,
      0.216655611798101,
      0.110691750391676,
      0.299758062511436,
      0.493262199032147,
      0.263802949040744,
      0.16718569442178,
      0.0825326079065131,
      0.103312097778543,
      0.559448189095628,
      0.501374664966984,
      0.389285325702869,
      0.462252626179808,
      0.66347124918974,
      0.67730471909295,
      0.324626155481616,
      0.236682468529521,
      0.671339996980542,
      0.535557370855534,
      0.337656714575154,
      0.22406963070947,
      0.298900083037013,
      0.195959179922485,
      0.142058711763471,
      0.780496857014777,
      0.679718995627867,
      0.661317888727646,
      0.377716284487674,
      0.269386231665986,
      0.160031832818639,
      0.191871716448877,
      0.0714566312208707,
      0.406018498453821,
      1,
      1,
      1,
      1,
      0.975714880956958,
      0.446443434726143,
      0.227794511612971,
      0.298501067308886,
      0.0740236863238008,
      0.115296777981456,
      0.439968081628211,
      0.325424027516238,
      0.246366750432252,
      0.0448163934568671,
      0.144938600065349,
      0.196860939766719,
      0.1699667831146,
      0.130863351663538,
      0.0769232523342145,
      0.280750229902685,
      0.19060210100612,
      0.130049773134825,
      0.0879414677099027,
      0.106087781341172,
      0.496093690012807,
      0.297363708559511,
      0.23438059203964,
      0.156857767426987,
      0.4965521628463,
      0.136238982367728,
      0.0820606425441717,
      0.0927290416848137,
      0.355526735984939,
      0.261955400555261,
      0.295794187822283,
      0.154836955265894,
      0.142760630099689,
      0.104136393354298,
      0.270596032368121,
      0.928329759321322,
      1,
      1,
      1,
      1,
      0.657212472522925,
      0.268332715884802,
      0.303801094992641,
      0.134476623859663,
      0.0956932173778906,
      0.18736418085937,
      0.475180010256774,
      0.26350944208967,
      0.0753822217171727,
      0.0753044624888803,
      0.187649207090114,
      0.3622505460071,
      0.488444626328047,
      0.359788329283349,
      0.703265797072325,
      0.714055741746955,
      0.555511381848929,
      0.428549329582595,
      0.273281840288252,
      0.723877963901422,
      0.371492578100699,
      0.184594656879541,
      0.433453217277713,
      0.152178446652599,
      0.210783944881055,
      0.142885502567297,
      0.143113380844949,
      0.0769498903856153,
      0.209271033521683,
      0.23479469346825,
      0.205914337621084,
      0.142550022629518,
      0.149938797041377,
      0.0514614742214007,
      0.612512812634276,
      1,
      1,
      1,
      1,
      0.917547846110026,
      0.325490672517034,
      0.250896937882574,
      0.238637119796956,
      0.0626092333086217,
      0.112889873663668,
      0.420381087181758,
      0.282783633276534,
      0.159011007139871,
      0.0549983588854725,
      0.158958351990845,
      0.180399728501573,
      0.16183822066985,
      0.0749723430220617,
      0.107130436001973,
      0.288040315304094,
      0.167611594473045,
      0.126590862410851,
      0.0499688537214644,
      0.200609993728128,
      0.535387690091474,
      0.305875914863931,
      0.155742969977748,
      0.153612017948223,
      0.412184243535599,
      0.0768656772546654,
      0.0320990706251009,
      0.0741560231679189,
      0.0846821261487476,
      0.236939368174769,
      0.281389480677757,
      0.55905868636975,
      0.80190345459164,
      0.67872471869828,
      0.695765903808586,
      0.947964983200866,
      0.996363624184025,
      0.657806652939309,
      0.23549906532739,
      0.764944816696425,
      0.631713300860063,
      0.349198448233775,
      0.200776759933505,
      0.204759778122848,
      0.273975590786655,
      0.201678957630347,
      0.203450355865852,
      0.11383182563923,
      0.111855783577864,
      0.241546969834103,
      0.449424629029461,
      0.720391302100769,
      0.753629413067563,
      0.682092238197424,
      0.7218756252242,
      0.738866731439395,
      0.824588229391001,
      0.534141166647127,
      0.343605271750572,
      0.893127409549707,
      0.534915661208575,
      0.207662711852606,
      0.158713160261604,
      0.275531860393062,
      0.116741426498139,
      0.141335799881238,
      0.0287303975305634,
      0.0257992943064808,
      0.100149821793763,
      0.540976419879605,
      0.47302402271506,
      0.277030182225609,
      0.169754335180379,
      0.274328557044757,
      0.434436253051205,
      0.252752519015015,
      0.388468740590448,
      0.167208547113113,
      0.054426596120823,
      0.26012914294191,
      0.0766085991686283,
      0.138200257676507,
      0.079718226964714,
      0.0481537091075976,
      0.19654967766988,
      0.0263755341579117,
      0.112822165154162,
      0.0730876656919364,
      0.108993890725323,
      0.0827342861562643,
      0.0891962301456467,
      0.0836690697042624,
      0.0744067225190012,
      0.224825705613918,
      0.233329641674588,
      0.264213239236424,
      0.394499380893716,
      0.0576897090332021,
      0.0632805504714977,
      0.250383662951423,
      0.0787511300421803,
      0.113001156445818,
      0.0772633871089771,
      0.0743542961442653,
      0.0447846834833713,
      0.0468115529408941,
      0.130824646398117,
      0.066991687806247,
      0.19506586256923,
      0.0461858836751559,
      0.0455757391183287,
      0.0905554729499868,
      0.108900911841614,
      0.0394541504084203,
      0.344124848960327,
      0.323397762985715,
      0.110266711296016,
      0.217334343961973,
      0.224147440250555,
      0.275796645381643,
      0.274901698190233,
      0.56922763598665,
      0.535556071963227,
      0.71780015119883,
      0.623169964526196,
      0.398495361054415,
      0.416527758751964,
      0.198523988630896,
      0.148768584314249,
      0.465635246348829,
      0.214254097655309,
      0.0983897549884838,
      0.121708263057618,
      0.17341405023904,
      0.221238349866829,
      0.279915293319505,
      0.166110767075813,
      0.139615557260387,
      0.165283344541577,
      0.236587855358701,
      0.460761066291695,
      0.99358466774534,
      0.629772751140463,
      0.200873150055253,
      0.471812309791901,
      0.364935569169913,
      0.236688798668146,
      0.210922337116277,
      0.238704733616925,
      0.469384752171732,
      0.159026288857203,
      0.107373956168082,
      0.131421567371349,
      0.0472034865530488,
      0.44940670533682,
      0.65907361071305,
      0.565214530771496,
      0.351535532969264,
      0.081606373002234,
      0.237007436573094,
      0.279722932560151,
      0.227309009238347,
      0.193720764806998,
      0.0789746492451954,
      0.283372341920085,
      0.521180517638885,
      0.260109329228623,
      0.120019914549338,
      0.0867019837646124,
      0.262275703574052,
      0.139339851639927,
      0.134431146167908,
      0.0570766008428699,
      0.0652070656179345,
      0.199482192828555,
      0.160050707916026,
      0.153525083235387,
      0.0611175007895324,
      0.071342546856475,
      0.796395767868039,
      1,
      1,
      0.973850815802897,
      0.408941012214975,
      0.10420030575749,
      0.142957140572826,
      0.178907639026218,
      0.177259040055897,
      0.451939689932949,
      0.274221422996851,
      0.105034054549227,
      0.134135862582334,
      0.0331601548913416,
      0.157517972506495,
      0.790380158516798,
      0.598221994198055,
      0.451566323077057,
      0.121631302804018,
      0.17882724332087,
      0.332190204913085,
      0.210579436471646,
      0.270055810293903,
      0.0680231249560478,
      0.244614904155711,
      0.375449993055373,
      0.322690471755629,
      0.209086043137262,
      0.0217311895384425,
      0.216447283090444,
      0.165673893611678,
      0.174522226262966,
      0.0545182090159897,
      0.226429470250471,
      0.188772494784484,
      0.347441456922414,
      0.128854873035738,
      0.0684402843224082,
      0.163036137616845,
      0.155223556109816,
      0.426428716993423,
      0.493695468967846,
      0.247655052810171,
      0.154098212478743,
      0.470305814766919,
      0.528257542102339,
      0.416747547244989,
      0.362268319254373,
      0.356078665093502,
      0.549151817428356,
      0.139644805259671,
      0.115516867253553,
      0.0995386780105117,
      0.0667489541234916,
      0.631417617290214,
      0.633666632677232,
      0.512662389512818,
      0.244994300028925,
      0.0851987960344157,
      0.297299790294854,
      0.241882346482563,
      0.235007103327116,
      0.10322435178197,
      0.138489909417942,
      0.235836508595308,
      0.445388641421159,
      0.226610059716243,
      0.06104747004469,
      0.1419360056212,
      0.230840464748398,
      0.129064511955692,
      0.132488771671687,
      0.0382837357504428,
      0.0959847975560961,
      0.237042937162244,
      0.144678916950846,
      0.153300293657963,
      0.0471267480500933,
      0.137103161860433,
      0.981175127418416,
      1,
      1,
      0.886058071796399,
      0.323425610874619,
      0.109061958193561,
      0.136515636010528,
      0.14986618521422,
      0.16164631916255,
      0.471853191844923,
      0.161336730403905,
      0.120622473642991,
      0.0385232931541852,
      0.0991537192280472,
      0.368408418113849,
      0.28972021477427,
      0.213647837218696,
      0.158130619256068,
      0.271043962685456,
      0.231475071944465,
      0.458631599980285,
      0.58374097852649,
      0.576942834503385,
      0.687005429339924,
      0.458781677022573,
      0.51242489008189,
      0.284855932505636,
      0.121080382667487,
      0.267049529068056,
      0.423476005382013,
      0.121502503042578,
      0.166560417460772,
      0.167163041891667,
      0.16152645257866,
      0.283099946135671,
      0.162636286622963,
      0.172029125310789,
      0.207176711923168,
      0.214847157660906,
      0.162995337083468,
      0.864310654366179,
      0.946032273557305,
      0.328895612968576,
      0.313758353963259,
      0.300221024212973,
      0.373560694551113,
      0.219021978992619,
      0.26413452031958,
      0.39302164655955,
      0.31150668909509,
      0.11618557855983,
      0.126837999789752,
      0.0375343718223359,
      0.0846650311964172,
      0.75420808627949,
      0.61049141365377,
      0.474759052799673,
      0.154758327750451,
      0.0975758059441936,
      0.344747296471723,
      0.217852821428293,
      0.24787105101983,
      0.0564996543240099,
      0.211428219735967,
      0.366428880570062,
      0.361991487597617,
      0.203300026723441,
      0.0476089791007769,
      0.200104808055447,
      0.201082879568436,
      0.134211419522935,
      0.126328277609199,
      0.0217835334280459,
      0.0987793163962582,
      0.205249418231217,
      0.144564574846438,
      0.145257704777354,
      0.0310131410753111,
      0.375786500323755,
      1,
      1,
      1,
      0.74512466257414,
      0.227108388745971,
      0.124598429603794,
      0.194131522170002,
      0.253404582623158,
      0.194441769383658,
      0.33189810577736,
      0.144995755564624,
      0.108215277424528,
      0.106712632724024,
      0.0549489680573484,
      0.538009978815697,
      0.646728215116815,
      0.539141426655968,
      0.297688863217568,
      0.0886709799356357,
      0.300995165851585,
      0.25866527268,
      0.24625392663603,
      0.155690454841438,
      0.133326662128825,
      0.272444665507474,
      0.509556772984897,
      0.247675756587733,
      0.104101674341977,
      0.134710680583387,
      0.173644971982216,
      0.154567799336252,
      0.143759071947545,
      0.116988476244449,
      0.275491914138074,
      0.179152029726504,
      0.269418917360559,
      0.107848920314563,
      0.0835298909321574,
      0.247858481250782,
      0.225044741306899,
      0.459853913237523,
      0.424640051238123,
      0.127112984380761,
      0.423377870707136,
      0.407367159312679,
      0.511292466498219,
      0.321187878542963,
      0.377751853622382,
      0.58969330843287,
      0.254757279810479,
      0.104375718086686,
      0.138344508890673,
      0.0402711341249069,
      0.259674388003782,
      0.734951133314473,
      0.592251729962753,
      0.425950918499093,
      0.0929439829673973,
      0.169509451629219,
      0.309182298143962,
      0.203560288671016,
      0.232743812507156,
      0.031186462016576,
      0.232878656629692,
      0.391328945856429,
      0.285793023295019,
      0.175756604391716,
      0.0183996022306509,
      0.249077604098953,
      0.148306197663653,
      0.138536405325122,
      0.109367311475561,
      0.0494885999269758,
      0.185072272639791,
      0.18708855132857,
      0.148149160031977,
      0.123538266015622,
      0.0696725325447305,
      0.568719865196338,
      1,
      1,
      1,
      0.597736743170145,
      0.13797207095326,
      0.126336311409355,
      0.144794333811091,
      0.180914885048176,
      0.291549559966446,
      0.386168617115784,
      0.119279999218729,
      0.126605828115513,
      0.0699939735632235,
      0.168937527150386,
      0.732897366233948,
      0.63504520765598,
      0.499001374330702,
      0.200581817336919,
      0.0893851307905827,
      0.337786885276169,
      0.301926048531594,
      0.280935261723568,
      0.10199690625792,
      0.085113972254786,
      0.124602277287956,
      0.359967050053878,
      0.220089993674042,
      0.0492311368661416,
      0.0565201996126894,
      0.112005804350524,
      0.0983317972956256,
      0.123289492090619,
      0.173293031375258,
      0.222830394186322,
      0.281303439959128,
      0.171195693391615,
      0.137168128261429,
      0.15831138807595,
      0.222929821047261,
      0.462942798101688,
      0.993399503846372,
      0.630984379565221,
      0.202266125757235,
      0.433190167044636,
      0.356871954498346,
      0.236286080247613,
      0.326714085023828,
      0.364549665575363,
      0.210390109817913,
      0.161170753157894,
      0.104042154849928,
      0.12156758466873,
      0.03414619170655,
      0.470281996261464,
      0.657439391953415,
      0.56485653912882,
      0.354211684470184,
      0.0822078153903,
      0.240836781670868,
      0.26660890321918,
      0.224000034069787,
      0.178128820945526,
      0.0625113430898628,
      0.23465946826068,
      0.441592781959016,
      0.25296818344387,
      0.109180586320845,
      0.07131894930193,
      0.250158530004363,
      0.14400676627619,
      0.140253341548732,
      0.055361113356127,
      0.0799233504285387,
      0.213583861153674,
      0.165643041328297,
      0.150520298073985,
      0.0691326761894846,
      0.0768287136003188,
      0.811571640744255,
      1,
      1,
      0.971584759645226,
      0.399244402182262,
      0.0949752752035372,
      0.128811147162348,
      0.177096603316889,
      0.218905179437049,
      0.439168335326883,
      0.339271860188009,
      0.189661185503898,
      0.218291807408401,
      0.466849081428519,
      0.439363176152168,
      0.262161590070835,
      0.35361867597184,
      0.195640212618557,
      0.0860678559499771,
      0.276918158638948,
      0.4322752982353,
      0.565379094721621,
      0.683992028114417,
      0.738721953745847,
      0.547839571014289,
      0.567553641545953,
      0.523631262317136,
      0.289430731603438,
      0.162893735363902,
      0.522984029800794,
      0.281363361078383,
      0.143115274323835,
      0.234725934167155,
      0.409632763835634,
      0.251785002685402,
      0.481227206452796,
      0.290490669597536,
      0.0903876030509402,
      0.159340558120981,
      0.207894023787528,
      0.499572777691791,
      0.523283655313856,
      0.683206010270734,
      0.692388346347389,
      0.581804924563618,
      0.5198745083669,
      0.497177542186475,
      0.510545676027595,
      0.431287712479234,
      0.697996725065489,
      0.300285044429024,
      0.340412849460559,
      0.0551667585058634,
      0.0773030766766196,
      0.176332971072813,
      0.102679936324408,
      0.313942117138259,
      0.254193539336385,
      0.0958197581037475,
      0.314322738279085,
      0.104832417099339,
      0.0762847895302396,
      0.0988358903653226,
      0.104556495264485,
      0.110218253257468,
      0.0293384059519341,
      0.100511744081099,
      0.110884796333058,
      0.135224106650326,
      0.0685419687892683,
      0.082882433961067,
      0.0958334128241556,
      0.0937733411558749,
      0.111589595276669,
      0.18033560528811,
      0.209006292843051,
      0.456318646657784,
      0.119918701580212,
      0.128472903260721,
      0.401375247785409,
      0.100640140726798,
      0.148814756465927,
      0.0988520592295423,
      0.110495659533736,
      0.0665801710605631,
      0.0776284039858187,
      0.14337992971958,
      0.0911994630209205,
      0.197884847301699,
      0.0607201341693288,
      0.0455814068568689,
      0.0568816786555701,
      0.154301780105375,
      0.042522967383402,
      0.248006621645314,
      0.232807660304431,
      0.133180490480664,
      0.267172422899883,
      0.178443126413493,
      0.254187523925994,
      0.147155255887757,
      0.0943215595390625,
      0.158935301555917,
      0.159810143791294,
      0.268785696617916,
      0.120830979339696,
      0.102026433361359,
      0.0959388391454385,
      0.121377005350637,
      0.227724445839325,
      0.119918625790291,
      0.140013774528702,
      0.166684249506419,
      0.181030066937969,
      0.269558483160589,
      0.220473110921058,
      0.249594637101341,
      0.126326898965972,
      0.258561937197733,
      0.264012394561806,
      0.161671623927585,
      0.142370027682764,
      0.191367944457152,
      0.126793253694551,
      0.167075546603514,
      0.0961802760610472,
      0.102093012069531,
      0.108018708980836,
      0.177003480079485,
      0.283053566471169,
      0.122265287574741,
      0.0800598671814049,
      0.0861722901116233,
      0.0377530312938665,
      0.284946470909162,
      0.303170905219102,
      0.287562232135471,
      0.14712595381744,
      0.0297971814627971,
      0.180706014594964,
      0.200659727041124,
      0.18102851499019,
      0.144631050383091,
      0.0646699647919489,
      0.0816270128407907,
      0.265547294152176,
      0.198872556323231,
      0.10003783951195,
      0.0641182556711154,
      0.112013632893573,
      0.100282204109833,
      0.0997784613454445,
      0.0372113021463731,
      0.0645550462035701,
      0.299929755021965,
      0.195578566494928,
      0.19258524402585,
      0.0938393264668559,
      0.0952806334383737,
      0.69859482366223,
      0.651459285778583,
      0.394217327683262,
      0.147291753528379,
      0.263065779285067,
      0.043628641966462,
      0.0608864730726878,
      0.179458811954318,
      0.248891541663502,
      0.234711949232251,
      0.194630626991022,
      0.0798594814304482,
      0.0813065466661159,
      0.0412502263959572,
      0.117006729037406,
      0.429534949388509,
      0.276870565929372,
      0.218742171700784,
      0.0355426994162125,
      0.0996328291680251,
      0.266408164716025,
      0.157677956300273,
      0.196795646564037,
      0.0509226730797983,
      0.106105038080861,
      0.186384299726468,
      0.253838638343702,
      0.161641079557764,
      0.0182082169353627,
      0.0855288837293744,
      0.101741111796779,
      0.177031585433797,
      0.0478529264073207,
      0.19027061868521,
      0.179325797410877,
      0.357479392649195,
      0.266264586294265,
      0.167837704410276,
      0.183253637053063,
      0.200008104147567,
      0.12203665273952,
      0.1509362622997,
      0.112225608273028,
      0.140103580650358,
      0.146665227613747,
      0.202166044669755,
      0.317187217370286,
      0.40434435938652,
      0.338617545759171,
      0.277246698548705,
      0.10273417472016,
      0.0784452793723472,
      0.056553198927184,
      0.0576850281879077,
      0.356818258674366,
      0.289039078567759,
      0.25624007330702,
      0.088664865870339,
      0.0502029583368372,
      0.22278162225655,
      0.166235098838045,
      0.192044148830981,
      0.0696509191008417,
      0.0705922986961329,
      0.0739462069083968,
      0.270036239348301,
      0.176041472732848,
      0.0481248998606695,
      0.0655370953085646,
      0.136443815353903,
      0.0898129239339477,
      0.097837499720161,
      0.0284582916424045,
      0.093582826696714,
      0.315822277995189,
      0.170545567158461,
      0.199851053244368,
      0.0719517217601868,
      0.148173240891943,
      0.785261589478094,
      0.716982180615465,
      0.199104303997038,
      0.172120954936703,
      0.210441562848929,
      0.0333826303410809,
      0.0724457110151504,
      0.103317765397897,
      0.105505571286957,
      0.201250933798997,
      0.0922690406553885,
      0.143020553046265,
      0.0469098269723938,
      0.0994595321370513,
      0.291655115458713,
      0.223798945603866,
      0.238303260237814,
      0.162561078019659,
      0.197015733984437,
      0.208793301854015,
      0.141005014239759,
      0.186893272887439,
      0.117990435764799,
      0.265388818245942,
      0.151394631140415,
      0.129970139536906,
      0.135045328108912,
      0.0671999498379947,
      0.256297512839792,
      0.118452566120999,
      0.135823076310189,
      0.217419117389644,
      0.206210986121412,
      0.166139818790128,
      0.229025135290385,
      0.2071430334251,
      0.269028044188752,
      0.198013435615573,
      0.29011246950762,
      0.1681932827398,
      0.100570428924611,
      0.222353876506267,
      0.167677556387159,
      0.161264163222382,
      0.0756499946412624,
      0.0870174411287401,
      0.124981680582079,
      0.128507353439201,
      0.310504244162954,
      0.18801396066808,
      0.0917531074814184,
      0.087229671123817,
      0.0331115100823187,
      0.071544826585845,
      0.425237139300854,
      0.280156691720222,
      0.232734909551282,
      0.041120973878128,
      0.0624865286881317,
      0.264778749128148,
      0.164149592819457,
      0.195044425339489,
      0.0462798895305243,
      0.0826732751042553,
      0.183955389344773,
      0.261382235745487,
      0.16774892091995,
      0.0332864403204233,
      0.0716175531276433,
      0.12084159006308,
      0.0994572301324323,
      0.0892554307896879,
      0.0326799639917093,
      0.14555718713129,
      0.262678771602369,
      0.173955703732269,
      0.19265458445929,
      0.0596391085044021,
      0.372060211033179,
      0.681645489427199,
      0.704231087822067,
      0.11458242884935,
      0.256424347063145,
      0.130748990759961,
      0.0371871362376119,
      0.102059324231789,
      0.220015484606612,
      0.217798477820869,
      0.318013159971209,
      0.110633575364489,
      0.0796992609082402,
      0.0697054911935745,
      0.0592512269295853,
      0.326616032022143,
      0.302930181575417,
      0.277407293289604,
      0.119796997672296,
      0.0495011443224968,
      0.230743683720653,
      0.187023689196786,
      0.190648574523373,
      0.112036683889287,
      0.0822932723342934,
      0.106328378653203,
      0.303079609524493,
      0.19262112047994,
      0.0719161009179666,
      0.0929121463288465,
      0.0683995381501485,
      0.12826520057542,
      0.140299269549895,
      0.121816354245865,
      0.215231170133999,
      0.202453037572574,
      0.389936591183799,
      0.171276463805328,
      0.169259042103005,
      0.264541068713619,
      0.128419470044262,
      0.124193634156936,
      0.160251179655164,
      0.0838108918184301,
      0.185982569259248,
      0.124401413412277,
      0.327193087624133,
      0.23698709290123,
      0.337104764531434,
      0.443319533876172,
      0.177900377389301,
      0.0782752596310236,
      0.0855102585446289,
      0.0266301526042418,
      0.172486947262582,
      0.361929638401352,
      0.282843881251819,
      0.20270327228666,
      0.0200364469727254,
      0.121926525150252,
      0.22458044240382,
      0.159952380387142,
      0.177836997394848,
      0.0206966996124694,
      0.0786952801101388,
      0.183875813055269,
      0.218167250363512,
      0.138650445309259,
      0.0170291344936198,
      0.104418711374181,
      0.10763214300361,
      0.101396430014822,
      0.076044554788466,
      0.0457342299034671,
      0.242614406362519,
      0.220418873959601,
      0.180081185597895,
      0.160415083724516,
      0.0884531622586142,
      0.544863233705801,
      0.615698524816538,
      0.589530667270008,
      0.0797111568356639,
      0.282515561808509,
      0.0637064207143831,
      0.0447795056500986,
      0.0822843014117982,
      0.107914631518911,
      0.204717006512634,
      0.174383974025003,
      0.0937252676061179,
      0.0887713061242678,
      0.0570258430970762,
      0.135689489349942,
      0.443667836249219,
      0.295931510575894,
      0.254565870392857,
      0.0714464661885145,
      0.0632069160245953,
      0.25834161584777,
      0.16121984434494,
      0.196312491100051,
      0.0585708888903385,
      0.0606707941585908,
      0.0758581136561417,
      0.279033040516272,
      0.175496028336106,
      0.0376668076490302,
      0.0884561841502294,
      0.129436811195381,
      0.13596467316179,
      0.162319387970657,
      0.176737771126699,
      0.261789579064452,
      0.218483732522697,
      0.249454302401617,
      0.127281408502397,
      0.257481824196483,
      0.252134235623665,
      0.157739019957043,
      0.140775443358557,
      0.200889701753409,
      0.118997010374512,
      0.164693303950171,
      0.0947512638877741,
      0.104427881352712,
      0.0795536661365809,
      0.215938541436128,
      0.303074430088331,
      0.126848800275759,
      0.0769044116916487,
      0.080988960655588,
      0.0342666142913474,
      0.303726539683887,
      0.29740111026335,
      0.28756589007421,
      0.149165262481368,
      0.0313899481433611,
      0.18120442764697,
      0.190437218430847,
      0.178314975348136,
      0.13651563208718,
      0.0513141350080939,
      0.112800422712382,
      0.246125682865165,
      0.199188619251579,
      0.0895103747064312,
      0.050762847645743,
      0.122951138001779,
      0.101675831837171,
      0.100072432653221,
      0.0355506565335296,
      0.0662890297417762,
      0.305763873430423,
      0.18941418218362,
      0.188808834106707,
      0.0974543104122535,
      0.102709362568187,
      0.693100849548598,
      0.656417345720406,
      0.385321615456899,
      0.114711020207816,
      0.237796444032175,
      0.0483653573364466,
      0.0437057567428564,
      0.114094840957638,
      0.483259557544808,
      0.444913969400135,
      0.226635931304998,
      0.172871101911379,
      0.192667107558891,
      0.191232164934837,
      0.237423302015616,
      0.20783376242195,
      0.187841332705093,
      0.128707738680944,
      0.348243876279479,
      0.274931371047174,
      0.275149961803547,
      0.210328174225928,
      0.224899989919672,
      0.592530392672733,
      0.306068089928034,
      0.148939290477669,
      0.176296709729558,
      0.150987685661366,
      0.446993143975707,
      0.24334643616916,
      0.124236347899453,
      0.148032571877538,
      0.136660131746311,
      0.144709776736995,
      0.200225274120439,
      0.286696088701088,
      0.199055725065355,
      0.138913592277757,
      0.239615968805888,
      0.325693175739978,
      0.247237402030065,
      0.270146424167187,
      0.310561090916651,
      0.430499597023258,
      0.087305021337955,
      0.106475799148412,
      0.0169340099920193,
      0.0175195458830967,
      0.087232581940852,
      0.658064506398987,
      0.283109339812973,
      0.219990079736651,
      0.327534737794781,
      0.268898045348636,
      0.248155113103299,
      0.497112954717816,
      0.745275551835467,
      0.39741044903993,
      0.440027681720307,
      0.636003989477671,
      0.249380283236299,
      0.079619164065321,
      0.228150662201777,
      0.0697220844452353,
      0.182926926318059,
      0.115226556171403,
      0.198014359840126,
      0.334224920223409,
      0.138744335620951,
      0.150854754439012,
      0.175944124842426,
      0.203780682176712,
      0.483765401695423,
      0.410099072030153,
      0.97908980625183,
      0.919675157960344,
      0.861295873976823,
      0.23938639227058,
      0.456397292070633,
      0.645105968782514,
      0.131457129060047,
      0.13751484251157,
      0.162744196946905,
      0.0965984118767309,
      0.157329897635508,
      0.186979052013396,
      0.208078760562294,
      0.19950287388587,
      0.156591370717123,
      0.131670394499487,
      0.119310424778733,
      0.354587749643288,
      0.323341179618063,
      0.256408924003096,
      0.287731945046006,
      0.834358749136816,
      0.454833517211096,
      0.404700517865818,
      0.342471461013032,
      0.393785996202106,
      0.288023560012014,
      0.160288952258884,
      0.222903107919936,
      0.184291987961576,
      0.277236550812977,
      0.112478128641721,
      0.150737382017026,
      0.20705902558922,
      0.188985526958182,
      0.218826668933636,
      0.222927320952646,
      0.415490656833993,
      0.273327503409207,
      0.316492554968516,
      0.497385980489574,
      0.71884636697668,
      0.881574658180252,
      0.310938908300394,
      0.365635388274511,
      0.558682811618066,
      0.564888879883688,
      0.171740473155476,
      0.680749608959377,
      0.453882817102233,
      0.376704802893973,
      0.133289481897612,
      0.163937672473137,
      0.178617836213303,
      0.334839118729514,
      0.312995521558623,
      0.184936286694745,
      0.113284654954645,
      0.149416770795006,
      0.0418705855713276,
      0.319038849349005,
      0.26808189267624,
      0.226861169907652,
      0.120320259537578,
      0.0254731958357954,
      0.244621964095464,
      0.169055968118993,
      0.14522835299596,
      0.125750544653168,
      0.0923538148088338,
      0.0808807109397737,
      0.225553555691326,
      0.170775613031992,
      0.0897429813364682,
      0.0599218399351449,
      0.133558642649942,
      0.147166209161125,
      0.153693721775279,
      0.0831869547240103,
      0.0625681305011847,
      0.73469574122937,
      1,
      1,
      1,
      1,
      0.736317393056096,
      0.300776553169591,
      0.145041105987778,
      0.138540619945908,
      0.219294641142794,
      0.0300012340825465,
      0.0608209581318143,
      0.186668531836607,
      0.356871602952185,
      0.268541925834615,
      0.235067323990163,
      0.130789164876922,
      0.149072722050998,
      0.055308594905274,
      0.178789044478178,
      0.370446411231533,
      0.233011000799592,
      0.176260955084578,
      0.0287316761829477,
      0.192920769945715,
      0.232038477791838,
      0.139788599376594,
      0.161532013082538,
      0.0392502694930941,
      0.131445044841599,
      0.23554445410775,
      0.189104441630536,
      0.128518820518836,
      0.0110013251431674,
      0.0783592733871619,
      0.295761458463441,
      0.528975603521868,
      0.40609459806092,
      0.586379771176105,
      0.48873296271045,
      0.708161268953005,
      0.503948861936311,
      0.440656692056194,
      0.366397427535881,
      0.588983245548163,
      0.166314082698855,
      0.212397691225879,
      0.144444233977654,
      0.558359351564625,
      0.870697821491827,
      0.674068121423775,
      0.372946459019635,
      0.918996991412553,
      0.31359446892403,
      0.239607097067493,
      0.14391476602292,
      0.122856014860009,
      0.114492530432273,
      0.0912520647712195,
      0.43268249174081,
      0.26453597169913,
      0.198644153184899,
      0.0738538900205813,
      0.102287854604687,
      0.248166488505799,
      0.145294569277313,
      0.152765139956214,
      0.0544681672812905,
      0.0612971169270507,
      0.102275766026778,
      0.24720354378441,
      0.146089863650287,
      0.0390116894749644,
      0.0770177108975603,
      0.18561772858677,
      0.158248490784868,
      0.155652873629563,
      0.0880970163997555,
      0.313134598042236,
      0.963919992561784,
      1,
      1,
      1,
      1,
      0.563437741916408,
      0.312621129202033,
      0.0561055230197289,
      0.130068137527771,
      0.179158981662277,
      0.0319392786439962,
      0.0884863815305172,
      0.081042958208809,
      0.171420560061803,
      0.249935741723371,
      0.277684114775762,
      0.361777038476382,
      0.236033065578962,
      0.237961945010399,
      0.700198264070143,
      0.681089436612419,
      0.369287307018747,
      0.387231556306983,
      0.272516889007403,
      0.529751774077571,
      0.170040488441762,
      0.25416741212911,
      0.185083481471361,
      0.265885380440899,
      0.131953262649841,
      0.166194216972943,
      0.225312158149505,
      0.16850166822934,
      0.299538966059132,
      0.118138628807425,
      0.413835338788949,
      0.371176952808309,
      0.318564811356927,
      0.212901673191013,
      0.783123837297292,
      0.797484386273901,
      0.5924070479938,
      0.341151083744174,
      0.467902402198205,
      0.747098072409031,
      0.153304259330461,
      0.294324056218536,
      0.817510906585592,
      0.356758714639086,
      0.239362142087146,
      0.11531980185624,
      0.162443366758378,
      0.307118733328355,
      0.305807174181649,
      0.296761338811925,
      0.13374734834546,
      0.142867200809339,
      0.0667155602983459,
      0.113912222042531,
      0.376696074876391,
      0.239215522567073,
      0.178676297999567,
      0.0329260334653323,
      0.122864089725815,
      0.240217574098532,
      0.137748512271073,
      0.157820224155116,
      0.0483414123518123,
      0.0823326146083349,
      0.230510200040085,
      0.218496410635427,
      0.141227229504593,
      0.0355686696325995,
      0.0702110282986632,
      0.166459764859177,
      0.148467921508039,
      0.142554279553832,
      0.03319987606758,
      0.284166202413487,
      1,
      1,
      1,
      1,
      0.970221921466905,
      0.379795841393504,
      0.301149509576874,
      0.0630579248593098,
      0.235531658445482,
      0.103856279466992,
      0.0347023911448887,
      0.0992065425852559,
      0.297756283009632,
      0.329745392877523,
      0.42206546521043,
      0.153826438035103,
      0.120004942841338,
      0.141727958193089,
      0.0554427809628107,
      0.342971618084739,
      0.267396761909687,
      0.215057925251107,
      0.0976253941917622,
      0.0516071685899341,
      0.301870491273437,
      0.159019469971298,
      0.153072816725497,
      0.0890668591587942,
      0.110296923887784,
      0.384549719182449,
      0.264042973735824,
      0.148509529257433,
      0.0537799347496407,
      0.0539032049675915,
      0.0642717102282971,
      0.534428005828464,
      0.499986440765849,
      0.550969174608429,
      0.468746411956152,
      0.55540917909008,
      0.687122466362261,
      0.476930735004652,
      0.450293094698624,
      0.472905539066864,
      0.360463222604622,
      0.186298339970318,
      0.188781759664134,
      0.131404513000552,
      0.825364580791736,
      0.900516738166382,
      0.457849573125943,
      0.59686025610878,
      0.672758253692313,
      0.287869584550786,
      0.199815685057373,
      0.125610438184302,
      0.156990458662373,
      0.0413544155728796,
      0.305885327625211,
      0.337444032436052,
      0.22567979787155,
      0.161271493378005,
      0.0238518972372995,
      0.20697335572053,
      0.197889765069654,
      0.130982278234206,
      0.143568365570383,
      0.0208670650536814,
      0.0952211406816319,
      0.183543393439956,
      0.191377518408102,
      0.112330595010737,
      0.0246960610362799,
      0.13976001374711,
      0.159157881297488,
      0.172550162188853,
      0.127780414629256,
      0.14202340600747,
      0.685177920414948,
      1,
      1,
      1,
      1,
      0.882831656907238,
      0.303210839190853,
      0.224681296133738,
      0.0332971984117656,
      0.238731046316969,
      0.0573761674715377,
      0.0521358372845298,
      0.0958702484643468,
      0.142758013876467,
      0.24565214550996,
      0.247588664384342,
      0.127468959182564,
      0.127528350612367,
      0.106769739825478,
      0.112716785275711,
      0.525086827021208,
      0.29039623932026,
      0.202418771518935,
      0.0590865878295435,
      0.0816486693860042,
      0.28692064889282,
      0.140190103736315,
      0.184235961282454,
      0.107267020755042,
      0.142080669219597,
      0.151660123448831,
      0.249108200238564,
      0.15238659378682,
      0.0374026765029086,
      0.0894902742226612,
      0.332520456589593,
      0.400019162264431,
      0.270925677410114,
      0.31600503513736,
      0.462855108948644,
      0.673787431709343,
      0.898363087140237,
      0.307533677632985,
      0.354076363001201,
      0.529169311261036,
      0.567895994124911,
      0.175115464855716,
      0.677603077531915,
      0.455207422337298,
      0.366585459970341,
      0.12921631467615,
      0.164390214380344,
      0.132861259124997,
      0.276603836269174,
      0.365875936101041,
      0.187497798309385,
      0.11590205553255,
      0.14548926213328,
      0.0372161800686095,
      0.368286438348377,
      0.267580473259658,
      0.219517148601698,
      0.117665901516724,
      0.0301493775590236,
      0.253004283504258,
      0.163653695002437,
      0.14132340513014,
      0.125116743787162,
      0.0479122299145525,
      0.287512604536398,
      0.315040262454866,
      0.170269609370964,
      0.0897365888572552,
      0.0443718959305473,
      0.264176848054979,
      0.149874551898725,
      0.146420447796764,
      0.0662572687487779,
      0.0648773364596319,
      0.735110884310364,
      1,
      1,
      1,
      1,
      0.732958505834863,
      0.303745071819723,
      0.134401034644406,
      0.0699972488451999,
      0.211906961932151,
      0.0493919059776137,
      0.0364074184388697,
      0.140533245993706,
      0.795115511665477,
      0.643123873838888,
      0.361168019979945,
      0.783453435318088,
      0.850038444902253,
      0.582165695885163,
      0.422692754167418,
      0.524026585329242,
      0.52695324350864,
      0.818953084656879,
      0.985387063018521,
      0.61453842123126,
      0.347872914337376,
      0.40241433357995,
      0.392397824173129,
      0.172408042934116,
      0.197905039495717,
      0.178532046619022,
      0.248128525161753,
      0.216575318441132,
      0.989518963714666,
      0.380047772778771,
      0.445154364012967,
      0.730739663592606,
      0.716060386279744,
      0.289221254539987,
      0.530044562679014,
      0.546686887035015,
      0.72880667859282,
      0.90645951860679,
      0.832412592996231,
      0.674627581533138,
      0.387311072032107,
      0.620605839328599,
      0.136486507512571,
      0.137725952055924,
      0.0658297385943773,
      0.0891779927811234,
      0.0273433339578286,
      0.0307082968974255,
      0.255000019969809,
      0.982642870157469,
      0.321775027222058,
      0.176869070360193,
      0.0856668811277255,
      0.113026950259335,
      0.284682343215413,
      0.322036708861348,
      0.646610614423023,
      0.345659269056113,
      0.200122316810339,
      0.513333760611172,
      0.147046389260953,
      0.0684407433467555,
      0.173055051539798,
      0.0654636917683255,
      0.192704744053373,
      0.0565272725953194,
      0.0885467814442686,
      0.218555176565121,
      0.105303038675036,
      0.150286029336879,
      0.172667737011258,
      0.104580716522016,
      0.130129244392528,
      0.253431896807595,
      0.413398141369822,
      0.361558634412067,
      0.753656402057585,
      0.220428995424691,
      0.250838901590171,
      0.552539970588394,
      0.110050552639666,
      0.116119558657829,
      0.165040839171985,
      0.0685458342112553,
      0.060347019531157,
      0.0667476939980811,
      0.107830282228528,
      0.111751200974327,
      0.14442903783131,
      0.0620658806474814,
      0.103656122812983,
      0.103207025377633,
      0.157438252193053,
      0.0963309004953505,
      0.268114854620865,
      0.304180886929118,
      0.106572788200363,
      0.194387306202846,
      0.139743463597041,
      0.237862847570497,
      0.105036198157286,
      0.102043377687609,
      0.166057535098739,
      0.158375882377645,
      0.265521320218962,
      0.113393081473969,
      0.0960279576734574,
      0.157295135239229,
      0.165423290170406,
      0.250958998423881,
      0.18729588824709,
      0.208811569398149,
      0.13241019691271,
      0.300678128214398,
      0.269489280467873,
      0.425097231211888,
      0.225331490082179,
      0.18088239694428,
      0.234459913657031,
      0.253651785224121,
      0.180468810410957,
      0.130783412396706,
      0.164684181366468,
      0.258298509004299,
      0.342094893084687,
      0.165772823769355,
      0.127042935592593,
      0.199414382261383,
      0.410310865340567,
      0.322194403276547,
      0.215909036511978,
      0.133620855456564,
      0.199221905093172,
      0.0928412624864669,
      0.198187504270664,
      0.195480917541285,
      0.179145960821928,
      0.0876997949515607,
      0.0296163819987107,
      0.130738684777896,
      0.147956631933235,
      0.135265847275599,
      0.10027677845614,
      0.057083559871629,
      0.0897080133869146,
      0.230344987095479,
      0.152085558589169,
      0.0638730894889779,
      0.0613838419521875,
      0.228996463175812,
      0.17235177915139,
      0.178313763653627,
      0.0927596591241813,
      0.120049878566934,
      0.586180809245707,
      0.529407590136244,
      0.499224161101275,
      0.249342221404818,
      0.108146526891521,
      0.307757500842248,
      0.235112112762629,
      0.0968495949180346,
      0.0606385045903648,
      0.189927465227211,
      0.0251994160382313,
      0.0856647163716394,
      0.177854842430478,
      0.206115774197294,
      0.272165667824277,
      0.32845175388862,
      0.131158655994988,
      0.192091579298991,
      0.0856185264062668,
      0.144227027217566,
      0.264485483701942,
      0.169118943334758,
      0.126679781225867,
      0.0184636781195009,
      0.0806979091572992,
      0.185814217305492,
      0.11469843848178,
      0.140976733378935,
      0.0375619504391604,
      0.130580621267882,
      0.146734376483971,
      0.164252978829399,
      0.10870479722563,
      0.0105021260020312,
      0.0934623752468957,
      0.234598878836535,
      0.164299676219548,
      0.109827129319039,
      0.229042917680615,
      0.235766749678932,
      0.162894783889549,
      0.252372818991216,
      0.120781087365854,
      0.191287194963032,
      0.167197664118045,
      0.158114046256457,
      0.298385975740963,
      0.137704473940456,
      0.192247214969441,
      0.169872056695763,
      0.168886831321452,
      0.455018328989537,
      0.359579306464209,
      0.282532995401996,
      0.361172068659884,
      0.174487789312254,
      0.150412556693383,
      0.146717123901114,
      0.105327082043676,
      0.254326269176436,
      0.204562507979454,
      0.158837169968315,
      0.0500355942682874,
      0.0469757535089475,
      0.177180888313794,
      0.121594775216439,
      0.137149414004265,
      0.0446124421567188,
      0.0655144649152242,
      0.0576689874659857,
      0.219767889391745,
      0.12518065016006,
      0.0320759517005071,
      0.0942809336522677,
      0.269588840529393,
      0.1695133872782,
      0.176311112267106,
      0.0817205783648793,
      0.152902223217002,
      0.706851170216911,
      0.491851823656921,
      0.54176510591716,
      0.126823370389322,
      0.126382829469608,
      0.321054533806433,
      0.240225882118211,
      0.0335346530669383,
      0.0955769178344524,
      0.150275013148136,
      0.0270603329161401,
      0.0706272484965152,
      0.0693255893910659,
      0.188862037920337,
      0.235201711786348,
      0.169094738286372,
      0.150561866521084,
      0.0785811542528392,
      0.124356627729322,
      0.327950592251136,
      0.260549486681504,
      0.188085275878648,
      0.138215510697404,
      0.180010498709601,
      0.240928090402217,
      0.132780977472045,
      0.188507147873872,
      0.134280860184169,
      0.224062176976836,
      0.169843932372021,
      0.171495895421774,
      0.168311465937278,
      0.141985797803434,
      0.236176730572659,
      0.191622398096184,
      0.237085148434225,
      0.209377774062714,
      0.23577407211176,
      0.247073874897737,
      0.401027847204898,
      0.239216501440477,
      0.247472355539751,
      0.259899145755026,
      0.242319369500118,
      0.183925716087812,
      0.123530881086334,
      0.194483076069513,
      0.179447547625754,
      0.353310694944647,
      0.234052196174099,
      0.101686905925918,
      0.176795881094936,
      0.419068862554954,
      0.304559800712617,
      0.324772718956397,
      0.143774611914107,
      0.182816399954752,
      0.0995730392427953,
      0.118278111416941,
      0.243664780121245,
      0.16995477428273,
      0.14039079374861,
      0.0210156047765596,
      0.0536400398866513,
      0.179050265461511,
      0.120879767345329,
      0.139555347026658,
      0.036647314187658,
      0.0814803835552316,
      0.184147211422095,
      0.195443539849795,
      0.114010677469082,
      0.0302464741630707,
      0.100582166802122,
      0.241806467205749,
      0.176777138526571,
      0.167045004400944,
      0.0578590677364469,
      0.235864433963003,
      0.694616895087705,
      0.456141792933042,
      0.518855398654345,
      0.0672955947002997,
      0.204194256068273,
      0.255827591840125,
      0.244630406119752,
      0.0408483846464656,
      0.175362916714,
      0.0969303679263482,
      0.0444257070456712,
      0.146297963538155,
      0.199017203962638,
      0.243383014178669,
      0.56004206578403,
      0.199464481245232,
      0.141948056557414,
      0.182136540398141,
      0.119156449723053,
      0.208180555550563,
      0.187882054144142,
      0.168572275178101,
      0.0653686513508882,
      0.0473275321625306,
      0.160986017936523,
      0.13801305317794,
      0.134527037921583,
      0.0770130543261034,
      0.0898238049315642,
      0.157220183605572,
      0.227940785962207,
      0.127223258678463,
      0.0479923552010819,
      0.0753020683725091,
      0.0834755933523373,
      0.241484126127727,
      0.187362144714407,
      0.159457823837557,
      0.284754449977625,
      0.142402562417075,
      0.243985062997372,
      0.136173630888037,
      0.175286695450158,
      0.206391470892762,
      0.150490125714588,
      0.282020407820169,
      0.148920252418212,
      0.13446332882457,
      0.210375047240761,
      0.143152299895504,
      0.327934762602106,
      0.415608844435954,
      0.287476533295385,
      0.316539566897094,
      0.299870622160361,
      0.13352201969284,
      0.193923629656743,
      0.0760211915772606,
      0.186537501851696,
      0.250600283627321,
      0.178376180816421,
      0.126069136156188,
      0.0158493768956339,
      0.102317879188467,
      0.167406838825942,
      0.117970919717947,
      0.124215771890645,
      0.0174394242456075,
      0.0844257347283535,
      0.143644268379364,
      0.159707942125464,
      0.0929834716274181,
      0.0216481821196018,
      0.225975448575341,
      0.189765173876928,
      0.188075354287427,
      0.147401362704391,
      0.107106283802404,
      0.428300356211621,
      0.59886476534951,
      0.464883359119964,
      0.422055579910287,
      0.0950844048479206,
      0.257382098372718,
      0.218434052060989,
      0.167011091343164,
      0.0219320733396301,
      0.196278832398002,
      0.0446568638456678,
      0.0370574775302852,
      0.0834508447498186,
      0.158848850350006,
      0.257468564886208,
      0.332887765790354,
      0.151894582576405,
      0.172179089238904,
      0.151852259032157,
      0.121795136817159,
      0.297634758428019,
      0.183427088762623,
      0.155627274505451,
      0.0402771131790178,
      0.0779359882076243,
      0.196240899799565,
      0.112398477073099,
      0.145511048404672,
      0.0441244241274683,
      0.11747383837416,
      0.135743301523385,
      0.221220935281288,
      0.129903754326509,
      0.0267462185326472,
      0.0846422987249423,
      0.181920199618201,
      0.194785381897598,
      0.134332544849265,
      0.300046999619644,
      0.278878425976883,
      0.398893951644858,
      0.213774520794511,
      0.180308537299149,
      0.224009061760941,
      0.255077125021716,
      0.184009634694079,
      0.122613818274818,
      0.168499080314916,
      0.264254536704653,
      0.344621602943319,
      0.163797618231972,
      0.126647560933287,
      0.153684479814996,
      0.250352382804286,
      0.337964277845383,
      0.217738093750435,
      0.134362226340704,
      0.189895406298303,
      0.0781367914566807,
      0.201634126064336,
      0.193551025833166,
      0.1792537111811,
      0.0884933876334373,
      0.0297366185958301,
      0.145055473031824,
      0.14137231001975,
      0.129629553564386,
      0.0943075826572008,
      0.0424245813538338,
      0.0590918582824963,
      0.2076687239866,
      0.144251732713426,
      0.062063780618368,
      0.0514826052472196,
      0.295305810033393,
      0.184275236935176,
      0.178055128801993,
      0.0855782716849698,
      0.104244095427418,
      0.583718238088159,
      0.527819345493766,
      0.507532669060037,
      0.252809004878737,
      0.0936985217882893,
      0.31308521278935,
      0.233851287815567,
      0.0961245037594224,
      0.0440394762397331,
      0.191920590551055,
      0.0298996088907908,
      0.0370247300579247,
      0.097728638499402,
      0.239570779964974,
      0.401212970908639,
      0.639687048417199,
      0.315748048680049,
      0.266802843263424,
      0.306374322045889,
      0.302011939019391,
      0.142423803432228,
      0.176578923748913,
      0.153811026145096,
      0.219663838913225,
      0.210549688909214,
      0.193479465809918,
      0.218909674351503,
      0.142309248270938,
      0.154998750889078,
      0.23384286648863,
      0.136612048746145,
      0.203168485173016,
      0.18263265259646,
      0.175083099407892,
      0.47885885245086,
      0.579415088077479,
      0.198024013300521,
      0.279474639917694,
      0.316216420742759,
      0.265322328764505,
      0.158874975675195,
      0.184104355802425,
      0.167941738464228,
      0.21382346676542,
      0.255554490209724,
      0.139609935833433,
      0.199949410905157,
      0.14023490137023,
      0.226350280575999,
      0.0911702030560473,
      0.106562897527336,
      0.0226423585169123,
      0.02949397428071,
      0.310026885138813,
      0.965571800524745
    ],
    "chord_labels": [
      "C#",
      "Dm",
      "Cm",
      "Cm",
      "Cm",
      "D#",
      "D#",
      "A#m",
      "A#",
      "D#m",
      "D#m",
      "D#m",
      "D#",
      "F",
      "D#",
      "D#",
      "D#",
      "D#",
      "F",
      "D#",
      "D#",
      "D#m",
      "D#",
      "Cm",
      "A#",
      "D#",
      "A#m",
      "A#",
      "A#",
      "D#m",
      "F",
      "D",
      "B",
      "F",
      "D#",
      "D#m",
      "D#m",
      "D#m",
      "Dm",
      "D#",
      "Cm",
      "Cm",
      "Cm",
      "D#",
      "G#",
      "D#",
      "A#",
      "A#",
      "A#",
      "A#",
      "A#",
      "G#",
      "G#",
      "G#",
      "G#",
      "Fm",
      "G#",
      "G#",
      "D#m",
      "Fm",
      "Fm",
      "Cm",
      "Gm",
      "Cm",
      "Cm",
      "D#",
      "A#",
      "Cm",
      "A#",
      "A#",
      "A#",
      "G#",
      "G#",
      "Fm",
      "G#",
      "Fm",
      "G#",
      "G#",
      "G#",
      "Fm",
      "Cm",
      "Cm",
      "Cm",
      "Cm",
      "Cm",
      "Gm",
      "D#",
      "D#",
      "G",
      "Gm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Cm",
      "Cm",
      "Cm",
      "Cm",
      "Cm",
      "A#",
      "A#m",
      "A#",
      "Gm",
      "Gm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "F",
      "F",
      "Fm",
      "G#",
      "Cm",
      "Cm",
      "F",
      "Cm",
      "D#",
      "D#",
      "D#",
      "D#",
      "Gm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Cm",
      "D#",
      "D#",
      "D#",
      "Cm",
      "Gm",
      "A#",
      "A#",
      "A#",
      "Gm",
      "Fm",
      "G#",
      "Cm",
      "Fm",
      "Fm",
      "Fm",
      "Cm",
      "A#",
      "C",
      "Fm",
      "Cm",
      "Cm",
      "Cm",
      "Cm",
      "Cm",
      "Gm",
      "Gm",
      "Gm",
      "Gm",
      "A#",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Cm",
      "Cm",
      "Cm",
      "Cm",
      "A#m",
      "A#",
      "A#",
      "A#",
      "Gm",
      "Fm",
      "G#",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Cm",
      "Fm",
      "Cm",
      "Cm",
      "Cm",
      "D#",
      "Cm",
      "Gm",
      "A#",
      "A#",
      "A#",
      "Gm",
      "Fm",
      "G#",
      "G#",
      "G#",
      "Fm",
      "Fm",
      "G#",
      "G#",
      "D#m",
      "Fm",
      "Cm",
      "Cm",
      "A#",
      "Cm",
      "Gm",
      "Gm",
      "A#",
      "Cm",
      "A#",
      "A#",
      "G#",
      "G#",
      "A#",
      "Fm",
      "Fm",
      "G#",
      "G#",
      "G#",
      "Fm",
      "G#",
      "Cm",
      "Cm",
      "Cm",
      "Cm",
      "Cm",
      "Gm",
      "D#",
      "Gm",
      "Gm",
      "C#",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Cm",
      "Cm",
      "Cm",
      "Cm",
      "A#m",
      "A#",
      "A#m",
      "A#",
      "Gm",
      "Fm",
      "E",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Cm",
      "Cm",
      "Cm",
      "Cm",
      "Cm",
      "F",
      "Cm",
      "Gm",
      "D#",
      "D#",
      "Gm",
      "Gm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Cm",
      "D#",
      "D#",
      "Cm",
      "Cm",
      "A#",
      "A#",
      "A#",
      "Gm",
      "A#",
      "G#",
      "G#",
      "Cm",
      "Fm",
      "A#",
      "Cm",
      "A#",
      "Gm",
      "Fm",
      "Fm",
      "Cm",
      "Cm",
      "Cm",
      "Cm",
      "D#",
      "Gm",
      "Gm",
      "Gm",
      "Gm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Cm",
      "Cm",
      "Cm",
      "Fm",
      "Cm",
      "A#",
      "A#m",
      "A#",
      "D#",
      "Gm",
      "Fm",
      "Fm",
      "Fm",
      "C#",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "G#",
      "G#",
      "Cm",
      "Cm",
      "Cm",
      "Cm",
      "Gm",
      "Gm",
      "D#",
      "Cm",
      "Gm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "A#",
      "F",
      "Cm",
      "Gm",
      "Cm",
      "Cm",
      "Gm",
      "A#",
      "Cm",
      "A#",
      "A#",
      "A#",
      "G#",
      "G#",
      "Fm",
      "G#",
      "Fm",
      "G#",
      "G#",
      "G#",
      "A#",
      "Cm",
      "Cm",
      "Cm",
      "Cm",
      "Cm",
      "Gm",
      "D#",
      "Gm",
      "Gm",
      "Gm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Cm",
      "Cm",
      "Cm",
      "Cm",
      "Cm",
      "A#",
      "A#m",
      "A#",
      "Gm",
      "Gm",
      "Fm",
      "G#",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "A#",
      "F",
      "Fm",
      "Cm",
      "D#",
      "Cm",
      "Cm",
      "Gm",
      "Gm",
      "A#",
      "A#",
      "Gm",
      "A#",
      "Fm",
      "Fm",
      "G#",
      "Fm",
      "Fm",
      "G#",
      "G#",
      "A#m",
      "Fm",
      "Cm",
      "Cm",
      "D#",
      "C",
      "Cm",
      "Gm",
      "Gm",
      "A#",
      "D#m",
      "Gm",
      "Fm",
      "Fm",
      "Fm",
      "G#",
      "Fm",
      "Fm",
      "Fm",
      "Fm",
      "Fm"
    ],
    "chord_timestamps": [
      0,
      0.5,
      1,
      1.5,
      2,
      2.5,
      3,
      3.5,
      4,
      4.5,
      5,
      5.5,
      6,
      6.5,
      7,
      7.5,
      8,
      8.5,
      9,
      9.5,
      10,
      10.5,
      11,
      11.5,
      12,
      12.5,
      13,
      13.5,
      14,
      14.5,
      15,
      15.5,
      16,
      16.5,
      17,
      17.5,
      18,
      18.5,
      19,
      19.5,
      20,
      20.5,
      21,
      21.5,
      22,
      22.5,
      23,
      23.5,
      24,
      24.5,
      25,
      25.5,
      26,
      26.5,
      27,
      27.5,
      28,
      28.5,
      29,
      29.5,
      30,
      30.5,
      31,
      31.5,
      32,
      32.5,
      33,
      33.5,
      34,
      34.5,
      35,
      35.5,
      36,
      36.5,
      37,
      37.5,
      38,
      38.5,
      39,
      39.5,
      40,
      40.5,
      41,
      41.5,
      42,
      42.5,
      43,
      43.5,
      44,
      44.5,
      45,
      45.5,
      46,
      46.5,
      47,
      47.5,
      48,
      48.5,
      49,
      49.5,
      50,
      50.5,
      51,
      51.5,
      52,
      52.5,
      53,
      53.5,
      54,
      54.5,
      55,
      55.5,
      56,
      56.5,
      57,
      57.5,
      58,
      58.5,
      59,
      59.5,
      60,
      60.5,
      61,
      61.5,
      62,
      62.5,
      63,
      63.5,
      64,
      64.5,
      65,
      65.5,
      66,
      66.5,
      67,
      67.5,
      68,
      68.5,
      69,
      69.5,
      70,
      70.5,
      71,
      71.5,
      72,
      72.5,
      73,
      73.5,
      74,
      74.5,
      75,
      75.5,
      76,
      76.5,
      77,
      77.5,
      78,
      78.5,
      79,
      79.5,
      80,
      80.5,
      81,
      81.5,
      82,
      82.5,
      83,
      83.5,
      84,
      84.5,
      85,
      85.5,
      86,
      86.5,
      87,
      87.5,
      88,
      88.5,
      89,
      89.5,
      90,
      90.5,
      91,
      91.5,
      92,
      92.5,
      93,
      93.5,
      94,
      94.5,
      95,
      95.5,
      96,
      96.5,
      97,
      97.5,
      98,
      98.5,
      99,
      99.5,
      100,
      100.5,
      101,
      101.5,
      102,
      102.5,
      103,
      103.5,
      104,
      104.5,
      105,
      105.5,
      106,
      106.5,
      107,
      107.5,
      108,
      108.5,
      109,
      109.5,
      110,
      110.5,
      111,
      111.5,
      112,
      112.5,
      113,
      113.5,
      114,
      114.5,
      115,
      115.5,
      116,
      116.5,
      117,
      117.5,
      118,
      118.5,
      119,
      119.5,
      120,
      120.5,
      121,
      121.5,
      122,
      122.5,
      123,
      123.5,
      124,
      124.5,
      125,
      125.5,
      126,
      126.5,
      127,
      127.5,
      128,
      128.5,
      129,
      129.5,
      130,
      130.5,
      131,
      131.5,
      132,
      132.5,
      133,
      133.5,
      134,
      134.5,
      135,
      135.5,
      136,
      136.5,
      137,
      137.5,
      138,
      138.5,
      139,
      139.5,
      140,
      140.5,
      141,
      141.5,
      142,
      142.5,
      143,
      143.5,
      144,
      144.5,
      145,
      145.5,
      146,
      146.5,
      147,
      147.5,
      148,
      148.5,
      149,
      149.5,
      150,
      150.5,
      151,
      151.5,
      152,
      152.5,
      153,
      153.5,
      154,
      154.5,
      155,
      155.5,
      156,
      156.5,
      157,
      157.5,
      158,
      158.5,
      159,
      159.5,
      160,
      160.5,
      161,
      161.5,
      162,
      162.5,
      163,
      163.5,
      164,
      164.5,
      165,
      165.5,
      166,
      166.5,
      167,
      167.5,
      168,
      168.5,
      169,
      169.5,
      170,
      170.5,
      171,
      171.5,
      172,
      172.5,
      173,
      173.5,
      174,
      174.5,
      175,
      175.5,
      176,
      176.5,
      177,
      177.5,
      178,
      178.5,
      179,
      179.5,
      180,
      180.5,
      181,
      181.5,
      182,
      182.5,
      183,
      183.5,
      184,
      184.5,
      185,
      185.5,
      186,
      186.5,
      187,
      187.5,
      188,
      188.5,
      189,
      189.5,
      190,
      190.5,
      191,
      191.5,
      192,
      192.5,
      193,
      193.5,
      194,
      194.5,
      195,
      195.5,
      196,
      196.5,
      197,
      197.5,
      198,
      198.5,
      199,
      199.5,
      200,
      200.5,
      201,
      201.5,
      202,
      202.5,
      203,
      203.5,
      204,
      204.5,
      205,
      205.5,
      206,
      206.5,
      207,
      207.5,
      208,
      208.5,
      209,
      209.5,
      210,
      210.5,
      211,
      211.5,
      212,
      212.5,
      213,
      213.5,
      214,
      214.5,
      215,
      215.5,
      216,
      216.5,
      217,
      217.5,
      218,
      218.5,
      219,
      219.5,
      220,
      220.5,
      221,
      221.5,
      222,
      222.5,
      223,
      223.5,
      224,
      224.5,
      225,
      225.5,
      226,
      226.5,
      227,
      227.5,
      228,
      228.5,
      229,
      229.5,
      230,
      230.5,
      231,
      231.5,
      232,
      232.5,
      233,
      233.5,
      234,
      234.5,
      235,
      235.5,
      236
    ],
    "key_change_timestamps": [
      3.994,
      15.975,
      19.969,
      39.938,
      63.901,
      67.895,
      71.889,
      75.883,
      79.877,
      83.87,
      87.864,
      95.852,
      115.821,
      131.796,
      135.79,
      143.778,
      147.772,
      155.759,
      159.753,
      163.747,
      171.735,
      175.729,
      179.722,
      183.716,
      191.704,
      195.698,
      199.692,
      203.685,
      211.673,
      219.661
    ],
    "key_change_from": [
      "D# major",
      "D# minor",
      "D# major",
      "C minor",
      "F minor",
      "F major",
      "D# major",
      "C minor",
      "C major",
      "F minor",
      "F major",
      "F minor",
      "C minor",
      "F minor",
      "C major",
      "F minor",
      "A# major",
      "C minor",
      "F minor",
      "F major",
      "F minor",
      "C major",
      "F minor",
      "F major",
      "C minor",
      "C major",
      "F minor",
      "F major",
      "F minor",
      "C minor"
    ],
    "key_change_to": [
      "D# minor",
      "D# major",
      "C minor",
      "F minor",
      "F major",
      "D# major",
      "C minor",
      "C major",
      "F minor",
      "F major",
      "F minor",
      "C minor",
      "F minor",
      "C major",
      "F minor",
      "A# major",
      "C minor",
      "F minor",
      "F major",
      "F minor",
      "C major",
      "F minor",
      "F major",
      "C minor",
      "C major",
      "F minor",
      "F major",
      "F minor",
      "C minor",
      "D# major"
    ],
    "mode_family": "minor",
    "mode_detail": null,
    "essentia_harmonic_tension_curve": [
      0.4999990463256836,
      0.49999937415122986,
      0.49999773502349854,
      0.49999916553497314,
      0.4999992549419403,
      0.49999964237213135,
      0.4999992847442627,
      0.4999992847442627,
      0.49999919533729553,
      0.4999975860118866,
      0.49999743700027466,
      0.49999749660491943,
      0.4999983012676239,
      0.49999919533729553,
      0.49999919533729553,
      0.49999919533729553,
      0.49999988079071045,
      0.49999961256980896,
      0.49999964237213135,
      0.4999994933605194,
      0.4999990165233612,
      0.4999985992908478,
      0.49999940395355225,
      0.49999818205833435,
      0.4999992549419403,
      0.49999865889549255,
      0.49999919533729553,
      0.4999987781047821,
      0.49999937415122986,
      0.4999992251396179,
      0.4999980032444,
      0.49999892711639404,
      0.4999966621398926,
      0.4999995231628418,
      0.4999997317790985,
      0.49999910593032837,
      0.49999961256980896,
      0.4999981224536896,
      0.49999797344207764,
      0.4999990165233612,
      0.4999988377094269,
      0.49999716877937317,
      0.4999977946281433,
      0.49999669194221497,
      0.49999698996543884,
      0.49999934434890747,
      0.49999889731407166,
      0.4999992549419403,
      0.4999968409538269,
      0.4999936521053314,
      0.4999975860118866,
      0.4999980330467224,
      0.4999983310699463,
      0.4999975264072418,
      0.4999936819076538,
      0.4999942481517792,
      0.4999992847442627,
      0.4999966025352478,
      0.4999972879886627,
      0.49999940395355225,
      0.49999678134918213,
      0.49999722838401794,
      0.49999797344207764,
      0.499997615814209,
      0.4999984800815582,
      0.4999990463256836,
      0.4999983310699463,
      0.4999968707561493,
      0.49999716877937317,
      0.4999983608722687,
      0.499999076128006,
      0.4999992549419403,
      0.4999966621398926,
      0.4999958872795105,
      0.4999960958957672,
      0.49999651312828064,
      0.4999985098838806,
      0.49999797344207764,
      0.4999116361141205,
      0.49992549419403076,
      0.4999357759952545,
      0.4999774396419525,
      0.4999944567680359,
      0.4990682303905487,
      0.4989619255065918,
      0.4978564977645874,
      0.4995483160018921,
      0.49985799193382263,
      0.4991476833820343,
      0.4986240863800049,
      0.4995419979095459,
      0.4998632073402405,
      0.49995937943458557,
      0.4994816184043884,
      0.49852752685546875,
      0.499606192111969,
      0.49984440207481384,
      0.49993106722831726,
      0.4998668134212494,
      0.49996840953826904,
      0.4999973177909851,
      0.4999942183494568,
      0.4998670816421509,
      0.49996277689933777,
      0.49991321563720703,
      0.49999818205833435,
      0.4999961256980896,
      0.4998556077480316,
      0.49991753697395325,
      0.49998462200164795,
      0.499627947807312,
      0.4986717104911804,
      0.49980777502059937,
      0.4999508857727051,
      0.49998095631599426,
      0.49999454617500305,
      0.49995967745780945,
      0.49989160895347595,
      0.49993079900741577,
      0.4999871253967285,
      0.49999183416366577,
      0.49985000491142273,
      0.4980887472629547,
      0.4987383484840393,
      0.4992254674434662,
      0.4998811185359955,
      0.49942392110824585,
      0.49879682064056396,
      0.49931156635284424,
      0.4997791647911072,
      0.49996596574783325,
      0.4999901056289673,
      0.499155193567276,
      0.49756088852882385,
      0.4997962415218353,
      0.49994727969169617,
      0.49999579787254333,
      0.4999988079071045,
      0.4999985992908478,
      0.4999953806400299,
      0.499996542930603,
      0.49999919533729553,
      0.49999895691871643,
      0.4999995529651642,
      0.4999969005584717,
      0.4999944865703583,
      0.4999983310699463,
      0.4999975860118866,
      0.4999959468841553,
      0.49999815225601196,
      0.49999523162841797,
      0.49999743700027466,
      0.49999895691871643,
      0.4999998211860657,
      0.49999892711639404,
      0.4999872148036957,
      0.4999662935733795,
      0.4999467730522156,
      0.49999067187309265,
      0.49999988079071045,
      0.49927380681037903,
      0.4985670745372772,
      0.49773290753364563,
      0.4996781349182129,
      0.4995924234390259,
      0.49847283959388733,
      0.4982357919216156,
      0.49961575865745544,
      0.4998859465122223,
      0.49996399879455566,
      0.4987460672855377,
      0.49771785736083984,
      0.49932345747947693,
      0.4999230206012726,
      0.4998984634876251,
      0.4999083876609802,
      0.499981552362442,
      0.49998846650123596,
      0.4999977648258209,
      0.49995148181915283,
      0.4999275505542755,
      0.49991685152053833,
      0.499984472990036,
      0.5,
      0.49976232647895813,
      0.4999387264251709,
      0.4999946653842926,
      0.4991821348667145,
      0.49954766035079956,
      0.49987009167671204,
      0.4999598264694214,
      0.49998921155929565,
      0.49999549984931946,
      0.49999889731407166,
      0.49999770522117615,
      0.49999839067459106,
      0.49999919533729553,
      0.4999988377094269,
      0.4999980330467224,
      0.4999961853027344,
      0.4999990463256836,
      0.49999967217445374,
      0.49999839067459106,
      0.4999929964542389,
      0.49999770522117615,
      0.4999985098838806,
      0.49999886751174927,
      0.4999956786632538,
      0.49999791383743286,
      0.4999973773956299,
      0.4999985694885254,
      0.4999893307685852,
      0.49999791383743286,
      0.4999980330467224,
      0.499996542930603,
      0.49999815225601196,
      0.4999978840351105,
      0.4999966621398926,
      0.49999839067459106,
      0.49999934434890747,
      0.49999773502349854,
      0.4999978840351105,
      0.4999971091747284,
      0.49999600648880005,
      0.49999845027923584,
      0.4999973773956299,
      0.49999740719795227,
      0.49999403953552246,
      0.49999526143074036,
      0.4999973177909851,
      0.4999968111515045,
      0.4999997615814209,
      0.4999327063560486,
      0.49989885091781616,
      0.4999717175960541,
      0.49998214840888977,
      0.4999523162841797,
      0.4984349012374878,
      0.497383177280426,
      0.49902647733688354,
      0.4996706545352936,
      0.4992731213569641,
      0.4988267123699188,
      0.49882009625434875,
      0.49972298741340637,
      0.49992600083351135,
      0.49997738003730774,
      0.4992474317550659,
      0.4992024600505829,
      0.4997463822364807,
      0.49990272521972656,
      0.4998563826084137,
      0.49988049268722534,
      0.4999345541000366,
      0.4999940097332001,
      0.4999999403953552,
      0.49993714690208435,
      0.499952495098114,
      0.4999857246875763,
      0.49997037649154663,
      0.49994346499443054,
      0.4998791217803955,
      0.4999832510948181,
      0.49999555945396423,
      0.49919983744621277,
      0.4995889365673065,
      0.49988988041877747,
      0.49996212124824524,
      0.49998897314071655,
      0.4999980926513672,
      0.4999430179595947,
      0.4999438226222992,
      0.49993589520454407,
      0.4999852776527405,
      0.4999963343143463,
      0.4986492693424225,
      0.4988160729408264,
      0.4981158971786499,
      0.49974095821380615,
      0.49987587332725525,
      0.49911513924598694,
      0.4984607696533203,
      0.49912548065185547,
      0.4998776316642761,
      0.4999736547470093,
      0.49941831827163696,
      0.49841487407684326,
      0.49931594729423523,
      0.4998950660228729,
      0.499958336353302,
      0.49999719858169556,
      0.4999978244304657,
      0.4999981224536896,
      0.4999982416629791,
      0.4999971091747284,
      0.4999980032444,
      0.49999943375587463,
      0.49999749660491943,
      0.4999978244304657,
      0.49999678134918213,
      0.4999958276748657,
      0.4999982714653015,
      0.4999949038028717,
      0.4999982714653015,
      0.4999958574771881,
      0.49999943375587463,
      0.4999994933605194,
      0.49999743700027466,
      0.4999660551548004,
      0.4999174177646637,
      0.4999276101589203,
      0.49994924664497375,
      0.4999948740005493,
      0.49988794326782227,
      0.49842795729637146,
      0.498498797416687,
      0.49847397208213806,
      0.49984657764434814,
      0.4992557466030121,
      0.49893316626548767,
      0.49954885244369507,
      0.49973365664482117,
      0.49994051456451416,
      0.49998971819877625,
      0.4993228316307068,
      0.4987925887107849,
      0.4997798800468445,
      0.4999517798423767,
      0.49993282556533813,
      0.49992436170578003,
      0.4999622702598572,
      0.49998778104782104,
      0.49994325637817383,
      0.4998991787433624,
      0.4998164772987366,
      0.49993860721588135,
      0.49999040365219116,
      0.4997975528240204,
      0.4992615580558777,
      0.4999966025352478,
      0.4999893009662628,
      0.49922409653663635,
      0.4997193515300751,
      0.4998639225959778,
      0.4999326169490814,
      0.49999359250068665,
      0.4999989867210388,
      0.4999723732471466,
      0.4999520182609558,
      0.499955952167511,
      0.4999881386756897,
      0.49999991059303284,
      0.499218225479126,
      0.4989365041255951,
      0.4989743232727051,
      0.49966636300086975,
      0.4996451139450073,
      0.49891069531440735,
      0.49914681911468506,
      0.4996483027935028,
      0.4998837411403656,
      0.4999672472476959,
      0.4988704025745392,
      0.4987033009529114,
      0.4994170665740967,
      0.4999099671840668,
      0.4999895989894867,
      0.4999982416629791,
      0.49999678134918213,
      0.4999990165233612,
      0.4999997019767761,
      0.49999895691871643,
      0.4999971091747284,
      0.49999862909317017,
      0.4999969005584717,
      0.499997079372406,
      0.4999963939189911,
      0.4999971091747284,
      0.49999815225601196,
      0.4999961853027344,
      0.4999953806400299,
      0.4999975264072418,
      0.4999983012676239,
      0.4999992549419403,
      0.4999963939189911,
      0.4999193251132965,
      0.4998386800289154,
      0.4999717175960541,
      0.4999823570251465,
      0.49999693036079407,
      0.49887534976005554,
      0.4988120198249817,
      0.497909277677536,
      0.49939486384391785,
      0.4998670816421509,
      0.499223917722702,
      0.4988395869731903,
      0.49840691685676575,
      0.4998270869255066,
      0.4999234080314636,
      0.49962636828422546,
      0.49799618124961853,
      0.49817556142807007,
      0.4997735023498535,
      0.4998902380466461,
      0.4998342990875244,
      0.4998609721660614,
      0.4999235272407532,
      0.49998846650123596,
      0.4998517334461212,
      0.49984943866729736,
      0.4998255670070648,
      0.4999823570251465,
      0.4999960660934448,
      0.49969685077667236,
      0.49971652030944824,
      0.4999935030937195,
      0.4999975264072418,
      0.4985560178756714,
      0.4997656047344208,
      0.4998749792575836,
      0.4999234080314636,
      0.4999907314777374,
      0.4999973177909851,
      0.49999797344207764,
      0.49999773502349854,
      0.49999892711639404,
      0.4999969005584717,
      0.4999968707561493,
      0.4999969005584717,
      0.4999961256980896,
      0.49999722838401794,
      0.4999968707561493,
      0.499992698431015,
      0.49999722838401794,
      0.49999722838401794,
      0.4999981224536896,
      0.4999981224536896,
      0.4999915659427643,
      0.499996155500412,
      0.49999603629112244,
      0.49999964237213135,
      0.4999988079071045,
      0.4999973177909851,
      0.4999939501285553,
      0.4999994933605194,
      0.49999871850013733,
      0.4999963641166687,
      0.4999978542327881,
      0.4999971091747284,
      0.4999983310699463,
      0.4999966323375702,
      0.4999966323375702,
      0.4999954104423523,
      0.4999963343143463,
      0.49999919533729553,
      0.4999893307685852,
      0.49999237060546875,
      0.49999693036079407,
      0.49999696016311646,
      0.49999621510505676,
      0.4999600648880005
    ]
  },
  "pitch": {
    "average_pitch_height": 0.128046175648977,
    "pitch_range": 1,
    "melody_contour_type": "jagged",
    "interval_sharpness": 0.217319778066893,
    "repetition_score": 0.671600951397843,
    "analyzed_at": "2026-03-22T16:23:19.203087+00:00",
    "pitch_contour_hz": [
      0,
      0,
      0,
      0,
      0,
      0,
      68.1875872449923,
      285.142169348749,
      352.876420492295,
      229.42871874601,
      330.947142138529,
      364.430653598266,
      315.935519301477,
      360.057714030747,
      338.45228235263,
      313.315195617068,
      350.521691136352,
      318.712601267718,
      345.463780463618,
      330.512107024678,
      326.814123026753,
      327.448656578414,
      311.073248681376,
      193.548427106812,
      225.185617491061,
      85.3121365590868,
      173.95243793461,
      351.685438229529,
      308.689935768274,
      247.509350392865,
      344.520002888495,
      345.020622496664,
      329.713959765392,
      361.519268341054,
      309.641405337837,
      321.237841015421,
      339.743041930643,
      325.780276673602,
      350.265442101736,
      310.151314905424,
      329.578544377604,
      174.152739119069,
      222.309630653871,
      318.658888254913,
      189.761680337412,
      56.1802818148431,
      334.349808255027,
      283.164547233274,
      347.38151318567,
      145.939655458076,
      265.40248117261,
      140.537498632633,
      0,
      0,
      8.12133588461278,
      107.233684194022,
      272.125757459812,
      255.645610251468,
      259.946815063669,
      0,
      234.704818034659,
      44.1705499858154,
      294.35757910483,
      301.923262884363,
      116.931240086739,
      0,
      83.1735896018094,
      0,
      0,
      0,
      0,
      54.3889465193278,
      55.6631606966982,
      259.269408568224,
      205.951569874486,
      146.330108297713,
      250.636030861223,
      292.73172948204,
      224.653790197002,
      198.775533120385,
      68.177050014695,
      67.4161075412525,
      67.7431034910642,
      67.6144747388413,
      65.5932656096479,
      58.881349807545,
      65.8535042259948,
      65.4602568130861,
      61.9764840322687,
      9.6806141242755,
      27.8750733890195,
      27.8571428571429,
      12.3809523809524,
      0,
      0,
      0,
      9.52708770941836,
      9.28571428571429,
      0,
      0,
      68.8644206864932,
      68.0149910194544,
      66.988614273919,
      67.2869159340549,
      56.2715869913815,
      65.6248947182067,
      65.9999354986573,
      65,
      66.4822027269667,
      71.8929331223292,
      65.5024830298213,
      65,
      15.9564673213973,
      35.2615474202792,
      46.4285714285714,
      0,
      0,
      0,
      0,
      23.7115434683137,
      67.7252380916726,
      67.8422124418402,
      68.538156301398,
      65.6658253375926,
      59.2779037398193,
      66.2139283726601,
      65.6069641863301,
      55.7142857142857,
      24.8515574212882,
      34.4670375185527,
      3.0952380952381,
      9.28571428571429,
      18.5714285714286,
      0,
      0,
      0,
      0,
      24.7619047619048,
      0,
      24.9054528874328,
      61.9027977198457,
      77.7462479129312,
      22.2132136894089,
      0,
      0,
      44.4084206799659,
      147.42857334578,
      323.654755913451,
      273.102638663939,
      64.7521203203315,
      0,
      0,
      63.3156499769987,
      0,
      0,
      0,
      0,
      0,
      0,
      64.3673955958305,
      67.2756369626059,
      66.4425774555487,
      65.9560509802737,
      49.0501078277957,
      65.7994004171056,
      65.5214044351993,
      65,
      37.2152049037995,
      9.70513275664795,
      65.8271085899361,
      27.8571428571429,
      12.3809523809524,
      18.5714285714286,
      0,
      39.7866678100588,
      30.952380952381,
      6.19047619047619,
      15.4761904761905,
      20.3973987863073,
      68.6886822627888,
      67.6801684756271,
      65.6127668701703,
      68.0660735939888,
      68.4009718774732,
      66.6413528530151,
      66.1776327844271,
      65,
      40.8172005220662,
      28.2563183958285,
      65.0358610637534,
      58.9002212086584,
      0,
      46.8888282416575,
      111.084018441237,
      249.554726145855,
      348.600862542872,
      309.899150595028,
      235.917387367224,
      221.559737796388,
      171.509653177321,
      316.133088336248,
      285.904922862277,
      74.3330649038982,
      200.58344825072,
      280.777164372432,
      347.938247857515,
      261.328383842591,
      242.310234500493,
      240.19744305307,
      0,
      0,
      0,
      0,
      15.4198524672997,
      264.601750077683,
      320.202628044532,
      121.26019078828,
      164.981982490523,
      16.6223262248985,
      199.416474130947,
      293.692688707578,
      265.181987780957,
      0,
      44.3443384522915,
      38.7973025737889,
      0,
      0,
      0,
      29.6510829218184,
      64.7902683141403,
      179.692975844395,
      202.02686945578,
      188.674098820109,
      264.271791549003,
      259.030788100601,
      266.151552620365,
      147.770298882833,
      177.71709024907,
      64.0828710372542,
      67.6049029291468,
      68.1877511291876,
      66.2656849455765,
      56.0195202382473,
      65.7185385596687,
      65.7185385596687,
      65,
      37.3762662705133,
      25.1209435367126,
      43.594035550933,
      55.9364416697552,
      0,
      0,
      0,
      18.6805819071281,
      43.3333333333333,
      3.0952380952381,
      0,
      35.9176828639157,
      68.5505723386531,
      67.558928525038,
      68.2641943716855,
      65.6109884004956,
      59.1551587723646,
      66.2579327017488,
      66.0785047112613,
      65.6546754202417,
      70.270896389252,
      64.682809144104,
      65.0537915956301,
      56.0027352906087,
      0,
      58.8274543414005,
      31.0958252073945,
      0,
      0,
      0,
      0,
      54.4112648131442,
      68.3098260886564,
      67.8715559995297,
      68.1967419292396,
      65.6290228028868,
      63.2512592667778,
      66.3525750901767,
      65,
      65.1982805903948,
      0,
      37.4191169072159,
      15.4761904761905,
      0,
      0,
      0,
      9.50787024118377,
      46.4285714285714,
      9.28571428571429,
      0,
      0,
      63.9236085735048,
      72.4509180361565,
      59.2352365050905,
      0,
      0,
      0,
      88.752574056041,
      247.09427609997,
      252.707238006638,
      230.662039008574,
      193.034270260522,
      70.8977753268368,
      219.392504389549,
      130.530939085943,
      88.752574056041,
      0,
      0,
      0,
      0,
      29.2697493538813,
      67.7359169095371,
      66.8792913083755,
      65.919988259181,
      47.1331879780377,
      63.6943921435766,
      65.688579346362,
      65.5430912097295,
      65,
      6.26282395141859,
      40.5182382201544,
      40.2380952380952,
      37.1428571428571,
      0,
      0,
      0,
      18.6255323803178,
      24.7619047619048,
      18.5714285714286,
      0,
      51.6647304753125,
      69.8799961995296,
      67.1400653914471,
      65.6682324807542,
      70.9512058064535,
      67.7993065947039,
      66.2649147688105,
      65.9604750981746,
      65.0899648726426,
      6.64818539164813,
      63.0312906175515,
      65.0179305318767,
      24.8526021610394,
      3.0952380952381,
      40.2380952380952,
      244.659198330861,
      281.24113610529,
      367.633053996271,
      239.150139748671,
      211.506665000635,
      68.1283907793547,
      67.4900153731143,
      65.3607997510999,
      55.22271640266,
      9.30364481759097,
      65.7862771453145,
      65.2954772325933,
      65,
      34.9171360857347,
      15.6039066626077,
      61.9954593038965,
      52.6190476190476,
      65.1434442550135,
      12.4526745084591,
      309.508203656913,
      164.01361651963,
      59.4812013518375,
      65,
      148.577865574053,
      281.441978722858,
      44.1705499858154,
      294.35757910483,
      301.923262884363,
      117.008109959677,
      0,
      83.2057232537548,
      0,
      0,
      0,
      0,
      54.3889465193278,
      55.6631606966982,
      263.13464027418,
      201.6203239675,
      219.050417404551,
      207.152742839148,
      294.498736678357,
      206.538201982238,
      219.638673122356,
      97.0107760467894,
      67.5428885445566,
      67.7909313914143,
      67.6203616819291,
      62.9520259775066,
      49.5238095238095,
      65.9703726831544,
      65.3590387748078,
      58.8095238095238,
      0,
      55.768389523175,
      34.0476190476191,
      40.2380952380952,
      0,
      0,
      3.37538107729723,
      49.5238095238095,
      37.1428571428571,
      0,
      0,
      68.8209646552968,
      67.9790097701986,
      66.0650980070625,
      61.1163026552183,
      46.9687779586039,
      66.5628874737546,
      65.7248976345804,
      65,
      63.246706302969,
      53.5972033026917,
      65.408849701421,
      65.1277161864173,
      52.8744799918821,
      35.0123093150136,
      65,
      0,
      73.7112817704022,
      177.961056438821,
      107.916990343018,
      15.4941210080672,
      38.4110876292275,
      73.7075123831309,
      98.2494171970936,
      75.6296966779155,
      17.4549237013895,
      37.4511225792639,
      0,
      84.4385496702533,
      29.6176182525452,
      0,
      0,
      0,
      0,
      49.5823860157467,
      4.17965459528249,
      14.8945956848262,
      302.038259724444,
      220.103323842218,
      11.0940717570051,
      28.6943977863095,
      37.2505442046318,
      44.9864041512367,
      47.9052328653507,
      21.7385965352024,
      0,
      0,
      0,
      96.8158673037464,
      0,
      21.6845971985434,
      0,
      0,
      0,
      0,
      0,
      78.2871273561231,
      57.6288915177773,
      0,
      0
    ],
    "pitch_contour_midi": [
      0,
      0,
      0,
      0,
      0,
      0,
      16.6882182468298,
      54.8456071207108,
      65.1730495771584,
      47.5606454831074,
      64.0397162439741,
      65.6968591009078,
      63.2540019583645,
      65.5206686247345,
      64.37304957727,
      63.1206686250484,
      64.9873352914763,
      63.4016210059636,
      62.5162830439515,
      63.9825733868428,
      63.8349543392379,
      63.8587638630456,
      62.9968591012562,
      39.0522506454413,
      55.4734259021596,
      17.7739325323681,
      39.8375886075425,
      65.1206686247831,
      60.6115211394416,
      50.7364596352974,
      64.7444781486428,
      64.6778114819967,
      63.9825733868379,
      65.5730495771114,
      62.9159067203155,
      63.5254305297577,
      64.4206686248856,
      63.7682876725819,
      62.7353306629738,
      62.9444781488829,
      63.9444781487524,
      35.790722207551,
      45.0038789498761,
      63.4111448154844,
      38.8379649311864,
      13.8600231422081,
      64.2206686249022,
      52.6412215397999,
      64.9063829105245,
      27.6632797507894,
      49.4892169114154,
      29.5629034269656,
      0,
      0,
      3.86591401933128,
      34.827688476299,
      56.4452307969115,
      51.2078882066565,
      51.4412215399576,
      0,
      45.6229265688458,
      8.98458531378703,
      62.0397162442527,
      62.473049577523,
      23.9065132177259,
      0,
      32.8467360956576,
      0,
      0,
      0,
      0,
      23.0482413912,
      13.82192790412,
      59.8349543398437,
      44.0086408547927,
      29.8962367602502,
      50.9269358257442,
      61.9159067204661,
      47.1749311974667,
      41.4994933691649,
      31.2697929750903,
      36.5016210148962,
      36.5920972053101,
      36.5682876815105,
      36.0492400628017,
      32.4928498528219,
      36.1063829199135,
      36.0063829199781,
      34.2019973388106,
      5.22744245790195,
      15.3870892786578,
      15.3823273738991,
      6.83658994395517,
      0,
      0,
      0,
      5.18934721983077,
      5.12744245796638,
      0,
      0,
      36.8397162527904,
      36.6682876814469,
      36.4111448244679,
      36.4825733958532,
      30.912273795318,
      36.0444781580509,
      36.1444781579835,
      35.8920972057647,
      36.2682876817122,
      37.5968591094503,
      36.0206686342524,
      35.8920972057647,
      8.66954695367234,
      19.0958604409318,
      25.6372122898319,
      0,
      0,
      0,
      0,
      12.4687943063655,
      36.5825733957949,
      36.6206686338609,
      36.8063829194497,
      36.0682876818366,
      32.5976117575134,
      36.1873353008198,
      36.0397162532922,
      30.7646547477983,
      13.6969894117038,
      18.905384250572,
      1.70914748598879,
      5.12744245796638,
      10.2548849159328,
      0,
      0,
      0,
      0,
      13.6731798879103,
      0,
      13.7112751259799,
      31.3126501175537,
      38.9920972038434,
      11.1405992010981,
      0,
      0,
      17.5255608383162,
      41.6364596375473,
      61.4353306631358,
      54.3360833112358,
      12.2889708945316,
      0,
      0,
      30.5654073929463,
      0,
      0,
      0,
      0,
      0,
      0,
      34.7972354336709,
      36.4730495863396,
      36.2682876817057,
      36.1444781579763,
      26.2848313370428,
      36.0920972056373,
      36.0254305390113,
      35.8920972057647,
      20.5288174509004,
      5.23220436266169,
      36.0873353008851,
      15.3823273738991,
      6.83658994395517,
      10.2548849159328,
      0,
      20.1149080593913,
      17.0914748598879,
      3.41829497197759,
      8.54573742994397,
      10.7025039632718,
      36.815906728984,
      36.5778114910324,
      36.0540019675607,
      36.6540019671868,
      35.7591401949909,
      36.2825733960032,
      36.1873353008144,
      35.8920972057647,
      22.3665363653776,
      15.4823273738354,
      35.9016210152821,
      32.4976117575807,
      0,
      25.7514980040454,
      27.5482413904477,
      50.8697929686089,
      64.944478148618,
      56.1979880729,
      47.9130264354396,
      42.685207654722,
      35.6431031599528,
      63.2730495774084,
      57.2404688920326,
      19.0259371610816,
      45.0225502455792,
      52.5221739207673,
      64.9349543390922,
      49.2796931019189,
      46.0610218068768,
      48.1320740544587,
      0,
      0,
      0,
      0,
      3.03295700935228,
      53.883702358916,
      63.4968591011866,
      24.1493703605484,
      30.8867129505925,
      3.09486177124894,
      41.5423505120148,
      62.001621006163,
      53.912273787484,
      0,
      17.516037028796,
      15.3259371621015,
      0,
      0,
      0,
      12.5691706289673,
      27.3236792198673,
      42.351497997917,
      45.8749311976575,
      38.7617744550093,
      53.8646547398712,
      53.545607120873,
      56.0357069874579,
      32.0815747221141,
      41.9415978658793,
      34.7400925765558,
      36.5587638719971,
      36.7159067290329,
      36.2206686341192,
      30.8456071286961,
      36.0730495866011,
      36.0730495866011,
      35.8920972057647,
      20.5716745937286,
      13.7636560783285,
      23.9947314704664,
      30.8217976049038,
      0,
      0,
      0,
      10.2834563444852,
      23.9280648038431,
      1.70914748598879,
      0,
      19.2672890122464,
      36.7778114909152,
      36.5492400624781,
      36.7349543480684,
      36.0540019675604,
      32.5642784242031,
      36.1920972055818,
      36.1635257770194,
      36.0635257770791,
      37.2254305382399,
      34.8734259098148,
      35.9063829200407,
      30.8408452239376,
      0,
      32.4785641385458,
      17.1295700979575,
      0,
      0,
      0,
      0,
      29.5126501186553,
      36.7159067290501,
      36.6254305386214,
      36.7159067290344,
      36.0587638723191,
      34.5067592433868,
      36.2301924436447,
      35.8920972057647,
      35.9444781581104,
      0,
      20.5811984032471,
      8.54573742994397,
      0,
      0,
      0,
      5.18458531507187,
      25.6372122898319,
      5.12744245796638,
      0,
      0,
      33.7214212806303,
      35.6928498508885,
      29.7082645362616,
      0,
      0,
      0,
      35.0415978671122,
      49.7793167785371,
      48.8225502448378,
      45.4419741879129,
      39.0189173121133,
      14.8171659991919,
      49.0459834450804,
      30.9768128175335,
      22.0922275037391,
      0,
      0,
      0,
      0,
      15.739470230812,
      36.5635257767716,
      36.3730495864039,
      36.1349543484588,
      25.8229265754218,
      34.6258068623534,
      36.0682876818405,
      36.0301924437706,
      35.8920972057647,
      3.43734259101246,
      22.2903458892366,
      22.2189173178543,
      20.5097698318655,
      0,
      0,
      0,
      10.2691706302089,
      13.6731798879103,
      10.2548849159328,
      0,
      27.8892169183271,
      37.0968591097672,
      36.439716253027,
      36.0682876818371,
      37.3540019667541,
      36.5492400625124,
      36.2016210150952,
      36.1349543484656,
      35.9159067295582,
      3.53258068619066,
      34.4639021005498,
      35.8968591105234,
      13.696989411704,
      1.70914748598879,
      22.2189173178543,
      50.5888405876975,
      54.7646547397497,
      65.8682876723131,
      45.8848313307113,
      45.1606454839164,
      36.6635257767065,
      36.525430538688,
      35.9873353009389,
      29.6983644042621,
      5.13220436272507,
      36.0920972056352,
      35.9682876819052,
      35.8920972057647,
      19.0244318695398,
      8.57907076325519,
      34.2067592435695,
      29.0555072618095,
      35.9301924438342,
      6.85563756298994,
      58.4738022252019,
      33.0577651981553,
      32.6357069955923,
      35.8920972057647,
      32.4478650659437,
      54.7741785492725,
      8.98458531378703,
      62.0397162442527,
      62.473049577523,
      23.9112751224871,
      0,
      32.8514980004177,
      0,
      0,
      0,
      0,
      23.0482413912,
      13.82192790412,
      60.0968591017032,
      43.7324503786469,
      42.6090171785339,
      41.9852076548075,
      62.0254305299726,
      44.075307521444,
      44.8514979975172,
      32.6749312025149,
      36.5301924434512,
      36.6063829195852,
      36.5682876815114,
      34.4591401957812,
      27.3463597758207,
      36.1349543484671,
      35.9825733961829,
      32.4738022337871,
      0,
      30.7789404620744,
      18.8006223458767,
      22.2189173178543,
      0,
      0,
      1.78057605737105,
      27.3463597758207,
      20.5097698318655,
      0,
      0,
      36.8301924432719,
      36.6587638719294,
      36.1730495865287,
      33.0690403286346,
      25.780069432593,
      36.2682876817241,
      36.077811491358,
      35.8920972057647,
      34.5210449576543,
      28.3796931084873,
      35.9968591104583,
      35.9254305390759,
      29.1221739284319,
      19.0387175838223,
      35.8920972057647,
      0,
      17.0691706277153,
      44.2082645312851,
      27.3771891416265,
      8.55049933470266,
      19.8625271071228,
      37.049616384668,
      38.7741785533152,
      32.1368359639627,
      9.02668981059832,
      16.4017513149692,
      0,
      32.9943551432335,
      9.71278041884656,
      0,
      0,
      0,
      0,
      23.3669126873288,
      1.95676653346305,
      3.0043855807848,
      60.3115211394749,
      55.0972354260399,
      2.76152843796739,
      15.5870892785332,
      20.5383412604177,
      22.4050079259361,
      17.9446084572476,
      11.9830800209564,
      0,
      0,
      0,
      31.6284411231386,
      0,
      11.9687943066802,
      0,
      0,
      0,
      0,
      0,
      36.9547546121015,
      27.2185409923813,
      0,
      0
    ],
    "pitch_confidence_curve": [
      0.0152854694810009,
      0.0124169945947775,
      0.0163865670643073,
      0.0119145263335727,
      0.0102099874743406,
      0.0138727418766304,
      0.0118666046852834,
      0.107356929004756,
      0.0665458949943197,
      0.014026202498793,
      0.37226950786441,
      0.319243364381099,
      0.400046253023281,
      0.481209339795143,
      0.211365521724929,
      0.586222495820092,
      0.0990370922867049,
      0.247508424726185,
      0.322794170113618,
      0.44881825467798,
      0.388573050124579,
      0.415274262133116,
      0.488750816661854,
      0.101595190057519,
      0.0746718479487297,
      0.0227529607463007,
      0.012979734685685,
      0.0197472621973863,
      0.0106338526590082,
      0.032490236823211,
      0.332743772645258,
      0.245250723520569,
      0.264873882874042,
      0.361390720074004,
      0.424082778404914,
      0.279084280160093,
      0.0558673756134555,
      0.227854619616054,
      0.13798278096634,
      0.377053529701848,
      0.36665243757895,
      0.0382459775034562,
      0.163772914341815,
      0.275108331082098,
      0.126499575492089,
      0.0422689444647355,
      0.0174926333537604,
      0.011277286597186,
      0.0323326449758743,
      0.0195753000424965,
      0.0260501575403525,
      0.0108735938633626,
      0.0105125737815847,
      0.0101194621886131,
      0.0100181571349491,
      0.0320272939771214,
      0.0467860868428381,
      0.095814739180256,
      0.228788870514412,
      0.017890709198917,
      0.054997682638998,
      0.0103523154388402,
      0.0145168325883232,
      0.0184454900945585,
      0.0142371496192689,
      0.0101885007492105,
      0.0188853714858743,
      0.010411523048138,
      0.0168406647928521,
      0.0100489754134408,
      0.0100742653394298,
      0.0320861268672016,
      0.0100569613906266,
      0.118334518539659,
      0.0210437219236613,
      0.0192439683124,
      0.0321135619071235,
      0.0880342853379145,
      0.108390581849822,
      0.0127664373594874,
      0.285011701901864,
      0.387733142263648,
      0.278596003067767,
      0.0656501013856559,
      0.0330311404786605,
      0.0135643928310144,
      0.0100000002811737,
      0.010000000350603,
      0.0100000000165868,
      0.0100000860818318,
      0.0085714289565467,
      0.00809523809524899,
      0.00666666666666814,
      0.010166797180198,
      0.0100160701000148,
      0.0100192491718275,
      0.00666666666666781,
      0.00714285714285714,
      0.0100000796970432,
      0.0100171852241683,
      0.361298132099383,
      0.288366393468267,
      0.392218724853099,
      0.0767210927514141,
      0.0399878622400311,
      0.0361170379942459,
      0.0430788964986147,
      0.0397738893119979,
      0.0129992690819161,
      0.00952739304824824,
      0.0100075106234798,
      0.0100001509376598,
      0.0100202929239117,
      0.0108878400211207,
      0.00904761904761905,
      0.0100053880932598,
      0.0101622140526281,
      0.0116334270464137,
      0.0134701454621555,
      0.101581346366391,
      0.354889526184058,
      0.329371995948317,
      0.187673826183259,
      0.0923192666424373,
      0.0256958049975798,
      0.010000000302131,
      0.0100000002700826,
      0.0100001439344796,
      0.0100151859145755,
      0.0100841209170844,
      0.0100000000000036,
      0.00571431039370415,
      0.00809584383621939,
      0.00984751852295493,
      0.0103015651193944,
      0.0110949523735773,
      0.00761904763866543,
      0.00904761904762419,
      0.0107566948858289,
      0.0283305897630336,
      0.0457791590813995,
      0.178035148098178,
      0.0614201284948447,
      0.0137547684945185,
      0.0176690975004493,
      0.020428987993148,
      0.0540928774068153,
      0.0494280664421942,
      0.0479519393017286,
      0.0528306749551023,
      0.0119436814898579,
      0.0138955155842929,
      0.106698139175326,
      0.0125702278161708,
      0.0105348853358254,
      0.0105275199302391,
      0.0155285328596554,
      0.0160531755079472,
      0.0100007739121903,
      0.28814805249736,
      0.314169415735219,
      0.342640853841043,
      0.203349322674229,
      0.0109667695526947,
      0.0100000005869469,
      0.0100000003230089,
      0.0100000001315662,
      0.0100010276605911,
      0.0109830929082885,
      0.01,
      0.0100000000000169,
      0.0100002631800751,
      0.0100028260311114,
      0.0180210831093414,
      0.0100166220778801,
      0.0100000022407478,
      0.00809525418603895,
      0.0100968254269065,
      0.115719639799862,
      0.28581528598515,
      0.343624282808465,
      0.341026774225693,
      0.0189011424667257,
      0.0210412610192662,
      0.0359817203631886,
      0.0427867507259154,
      0.038195238708985,
      0.0164769045359529,
      0.011516766046546,
      0.0100043081619935,
      0.0100006973459349,
      0.0114509282223273,
      0.0119078446622247,
      0.0100000007975379,
      0.0100054104040103,
      0.0245124536155832,
      0.0540308958133069,
      0.011123070147833,
      0.013037293602534,
      0.0295507920383846,
      0.210157603191816,
      0.164393400574914,
      0.051997596760478,
      0.0107855263398277,
      0.0185339429955071,
      0.0215612391523546,
      0.0327630094374469,
      0.0155458777633097,
      0.0186506533124563,
      0.0101467790146281,
      0.0107501663489049,
      0.0100046323256157,
      0.0136213953265321,
      0.0103752051645961,
      0.0547641520403489,
      0.106710582774617,
      0.0422228199965686,
      0.0599598042905351,
      0.0220587962188804,
      0.0103820965310774,
      0.0160260711460832,
      0.0171181286895798,
      0.0102187535218634,
      0.0102449952590908,
      0.019238186032248,
      0.0114341966682371,
      0.0114564700531679,
      0.0100845119325435,
      0.0321922646758905,
      0.0107704376355013,
      0.0556561342055962,
      0.0497966659991241,
      0.0266698429291178,
      0.0265808160148943,
      0.032948930005329,
      0.0418618491980346,
      0.0666969930294473,
      0.0576999266138966,
      0.35149002798325,
      0.344426865061819,
      0.227673497204257,
      0.0682525155369522,
      0.0346120653389293,
      0.0100000005235108,
      0.0100000002851593,
      0.0100000000201827,
      0.0100000327494337,
      0.010000000617765,
      0.0085714285714286,
      0.0100000000000019,
      0.01,
      0.0100037596574727,
      0.0100040439798132,
      0.01000501159533,
      0.00904761904762019,
      0.00904761905247825,
      0.0100046019737409,
      0.210449637522119,
      0.279603448159409,
      0.405872507531478,
      0.194188878547145,
      0.0644859988261674,
      0.0627526561297164,
      0.037848523541841,
      0.0474838834279804,
      0.0237046755612433,
      0.0101279991011292,
      0.0100099239648563,
      0.0100022516301479,
      0.00952383120650114,
      0.0110157149976481,
      0.0100000001367203,
      0.0100000005506092,
      0.0100029500462482,
      0.0109292542288376,
      0.031352361828058,
      0.0324211730936843,
      0.349554531401068,
      0.339545652640215,
      0.271212517210304,
      0.066337675539589,
      0.0339063330432428,
      0.0100001379607525,
      0.0100000003114742,
      0.0100000004741586,
      0.0100000000188447,
      0.0102091493740611,
      0.0100000000048603,
      0.00714285714331734,
      0.00476190479872652,
      0.0100000210842817,
      0.0108430564356783,
      0.0105300142113319,
      0.01,
      0.00761904761904765,
      0.0100004002127222,
      0.0212102364217403,
      0.025591941199177,
      0.0882356798000716,
      0.102144262416077,
      0.0225321632124154,
      0.0221360885732218,
      0.0152228193719427,
      0.0505518646557677,
      0.0161355641754437,
      0.0543431751276423,
      0.0888056183263074,
      0.0119772630820102,
      0.0101009504769118,
      0.0818473793899967,
      0.0163445970667798,
      0.0124961872793764,
      0.0100466687371247,
      0.0120036958451238,
      0.012443853068567,
      0.010701156519082,
      0.145315209930791,
      0.303036197169284,
      0.288930552577142,
      0.340540739022521,
      0.0646554478700199,
      0.0107962978020514,
      0.0100000001747904,
      0.0100000002654711,
      0.0100000000363495,
      0.010271959984929,
      0.0103402207126917,
      0.0100000000000004,
      0.0100000061268212,
      0.0100000777863595,
      0.018361165592248,
      0.0106962388344667,
      0.010000436894451,
      0.01000002750289,
      0.00814159960812607,
      0.0403772229267731,
      0.280144643573318,
      0.284106593226068,
      0.381160927385852,
      0.134840194071005,
      0.0105473173020571,
      0.0300306022903821,
      0.0385261651951752,
      0.0429973290118804,
      0.0303929587981362,
      0.0120780143879788,
      0.0100045992687994,
      0.0100124189545986,
      0.0118315189865117,
      0.0112079205609784,
      0.00952380952381321,
      0.0100003652882333,
      0.0228717596390943,
      0.0184709032551005,
      0.0484667729176561,
      0.011898680951361,
      0.346510827763096,
      0.335389187582794,
      0.118134371435418,
      0.0198487742713581,
      0.0107213823893695,
      0.0100000007463844,
      0.0100000003432104,
      0.0100000000613075,
      0.0100000012514683,
      0.0103469151020667,
      0.01,
      0.0100000000000037,
      0.01,
      0.0100530794274069,
      0.0449480564861339,
      0.0472426682737373,
      0.0100000000000001,
      0.01,
      0.0122557368694446,
      0.0272655468336978,
      0.0101146203533719,
      0.0144025093264438,
      0.0185080075243369,
      0.0142443206116558,
      0.0103705593865261,
      0.0160994953158461,
      0.0102994522563314,
      0.0166126309323076,
      0.0100439134269252,
      0.0100773009672972,
      0.0247118800047838,
      0.0100612762583674,
      0.114771990301046,
      0.0214696482938912,
      0.0358595787631126,
      0.0372714588137897,
      0.0353509524780471,
      0.100324374078099,
      0.0494075702099321,
      0.37890772977652,
      0.378725418652774,
      0.414441739098752,
      0.231105373837676,
      0.0198720614899868,
      0.0102054093042939,
      0.0100000003534481,
      0.010000000356265,
      0.0100000000172798,
      0.0100001794982614,
      0.0100000384760692,
      0.00857142857145476,
      0.00809523809523843,
      0.00571437469375734,
      0.0104147273585539,
      0.0100246799216784,
      0.0100000000000011,
      0.00571428571428571,
      0.00571428572424738,
      0.0108131511293042,
      0.342482921039738,
      0.323749810808399,
      0.601720043047424,
      0.10493888946751,
      0.0181293358694767,
      0.0411421987730838,
      0.0483368515315479,
      0.0462742662155961,
      0.0158677635654232,
      0.010001741686028,
      0.0100086974287743,
      0.0100002432378846,
      0.0100016717227529,
      0.0107425156370309,
      0.01,
      0.010000286818561,
      0.010000458929338,
      0.0165831750926438,
      0.0302776682959684,
      0.0166560770143093,
      0.0135329641271041,
      0.0220112204912778,
      0.0193199732394118,
      0.033370271780165,
      0.0104562186461941,
      0.0201515482321039,
      0.0100270553786173,
      0.0215247306867819,
      0.0896220087986345,
      0.0100449701314453,
      0.0106946155523793,
      0.0100161853454145,
      0.020882228455193,
      0.0103205574847851,
      0.0104326559284083,
      0.0107030105988807,
      0.223107287347786,
      0.126750789690544,
      0.0356730774562968,
      0.0140314697151342,
      0.0253872500796352,
      0.0152751652343042,
      0.0484115927235919,
      0.0103164474254774,
      0.0111929717844621,
      0.0116598999163348,
      0.0103794525729933,
      0.203664169115052,
      0.0100072137419497,
      0.010099737516814,
      0.0101183942780795,
      0.0118542442749488,
      0.0429604126287466,
      0.0107954098338799,
      0.0115998883589979,
      0.0105627988244625,
      0.0109648820359491,
      0.0129060315719417,
      0.0100000000000004
    ],
    "melody_contour": [
      64,
      65,
      63,
      63,
      64,
      0,
      58,
      61,
      0,
      63,
      65,
      66,
      63,
      66,
      63,
      66,
      67,
      65,
      66,
      63,
      65,
      63,
      63,
      63,
      63,
      58,
      58,
      0,
      70,
      65,
      66,
      62,
      65,
      63,
      66,
      66,
      63,
      65,
      63,
      65,
      60,
      0,
      0,
      61,
      70,
      65,
      65,
      65,
      62,
      65,
      63,
      63,
      0,
      60,
      65,
      63,
      64,
      63,
      65,
      60,
      61,
      62,
      63,
      70,
      58,
      60,
      60,
      62,
      58,
      56,
      56,
      60,
      63,
      63,
      63,
      63,
      63,
      62,
      63,
      0,
      0,
      67,
      0,
      62,
      63,
      63,
      65,
      0,
      60,
      67,
      65,
      63,
      68,
      68,
      65,
      65,
      63,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      67,
      67,
      67,
      65,
      65,
      65,
      0,
      0,
      66,
      65,
      63,
      60,
      0,
      0,
      0,
      67,
      62,
      63,
      63,
      63,
      63,
      60,
      71,
      68,
      65,
      60,
      60,
      65,
      65,
      60,
      60,
      60,
      63,
      63,
      63,
      63,
      65,
      65,
      65,
      62,
      63,
      63,
      63,
      60,
      59,
      58,
      67,
      59,
      79,
      79,
      79,
      0,
      0,
      63,
      63,
      62,
      83,
      0,
      63,
      65,
      60,
      65,
      67,
      63,
      63,
      63,
      65,
      63,
      63,
      65,
      0,
      0,
      60,
      63,
      0,
      0,
      0,
      62,
      65,
      60,
      65,
      65,
      62,
      65,
      0,
      65,
      66,
      63,
      65,
      0,
      0,
      0,
      70,
      65,
      65,
      65,
      66,
      65,
      60,
      63,
      65,
      60,
      65,
      60,
      63,
      64,
      63,
      65,
      60,
      62,
      63,
      70,
      65,
      58,
      60,
      62,
      62,
      56,
      56,
      58,
      60,
      63,
      63,
      63,
      63,
      62,
      63,
      0,
      0,
      0,
      67,
      58,
      63,
      63,
      67,
      67,
      0,
      68,
      65,
      65,
      63,
      60,
      77,
      75,
      75,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      60,
      60,
      65,
      65,
      63,
      66,
      67,
      77,
      75,
      75,
      75,
      0,
      0,
      67,
      67,
      62,
      75,
      63,
      75,
      65,
      60,
      68,
      65,
      75,
      60,
      65,
      65,
      65,
      60,
      60,
      63,
      63,
      63,
      63,
      65,
      65,
      65,
      65,
      62,
      63,
      63,
      62,
      60,
      60,
      68,
      74,
      72,
      73,
      65,
      0,
      0,
      0,
      70,
      62,
      62,
      0,
      63,
      64,
      63,
      63,
      66,
      63,
      63,
      60,
      63,
      66,
      63,
      65,
      0,
      0,
      0,
      63,
      70,
      0,
      0,
      0,
      65,
      66,
      60,
      65,
      63,
      60,
      63,
      63,
      65,
      63,
      64,
      0,
      0,
      0,
      63,
      70,
      58,
      60,
      60,
      62,
      65,
      56,
      58,
      60,
      63,
      65,
      63,
      63,
      62,
      64,
      63,
      60,
      62,
      63,
      70,
      58,
      60,
      60,
      62,
      60,
      56,
      56,
      60,
      60,
      63,
      63,
      63,
      60,
      62,
      63,
      0,
      0,
      0,
      70,
      0,
      75,
      0,
      64,
      65,
      60,
      0,
      59,
      65,
      60,
      0,
      0,
      65,
      61,
      60,
      0,
      0,
      0,
      67,
      65,
      0,
      0,
      0,
      66,
      60,
      51,
      52,
      64,
      0,
      63,
      0,
      58,
      58,
      65,
      60,
      67,
      0,
      60,
      70,
      67,
      67,
      65,
      62,
      62,
      0,
      0,
      63,
      0,
      0,
      63,
      63,
      0,
      60,
      60,
      63,
      58,
      60,
      55,
      67,
      67,
      0,
      62,
      62,
      46,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0
    ]
  },
  "timbre": {
    "spectral_centroid": 0.219547515080167,
    "spectral_brightness": 0.141659100840591,
    "spectral_flux": 0.204960709352033,
    "harmonic_richness": 0.870009434905733,
    "noise_content": 0.129990565094267,
    "distortion_level": 0.513915156925183,
    "transient_sharpness": 0.826482631473204,
    "warmth_metallic_index": 0.917523475889426,
    "analog_digital_feel": 0.27094085982045,
    "mfcc_mean": [
      0,
      1,
      0.82646481374738,
      1,
      0.502699384822841,
      0.792253005454699,
      0.481049116279391,
      0.982582259523948,
      0.332861225118766,
      0.774705632326338,
      0.394704949620496,
      0.694903683345488,
      0.273040086908406
    ],
    "mfcc_std": [
      1,
      1,
      1,
      0.780710374012829,
      0.87371700113065,
      0.719973477021789,
      0.769888555430638,
      0.63843479701638,
      0.73162217243053,
      0.652567305023244,
      0.59811397245932,
      0.563467243502467,
      0.474512749036913
    ],
    "analyzed_at": "2026-03-22T16:23:19.757726+00:00",
    "spectral_flatness": 0.02925,
    "zero_crossing_rate_curve": [
      0.15132068452381,
      0.217122395833333,
      0.0915876116071429,
      0.0945870535714286,
      0.14653087797619,
      0.110700334821429,
      0.216820126488095,
      0.123860677083333,
      0.153785342261905,
      0.24418712797619,
      0.123325892857143,
      0.113397507440476,
      0.155784970238095,
      0.123046875,
      0.15580822172619,
      0.118094308035714,
      0.118047805059524,
      0.139555431547619,
      0.188616071428571,
      0.114234561011905,
      0.128487723214286,
      0.170689174107143,
      0.112723214285714,
      0.112723214285714,
      0.0813802083333333,
      0.179129464285714,
      0.127069382440476,
      0.195731026785714,
      0.203543526785714,
      0.220889136904762,
      0.13423084077381,
      0.119791666666667,
      0.174037388392857,
      0.120000930059524,
      0.108235677083333,
      0.144717261904762,
      0.12455822172619,
      0.146786644345238,
      0.226818266369048,
      0.107189360119048,
      0.0958891369047619,
      0.0544084821428571,
      0.117536272321429,
      0.087309337797619,
      0.121861049107143,
      0.0764043898809524,
      0.0818917410714286,
      0.148786272321429,
      0.104189918154762,
      0.148344494047619,
      0.0915178571428571,
      0.0791248139880952,
      0.139043898809524,
      0.0948428199404762,
      0.163295200892857,
      0.111142113095238,
      0.0824032738095238,
      0.150669642857143,
      0.139880952380952,
      0.158389136904762,
      0.101585751488095,
      0.163434709821429,
      0.17387462797619,
      0.211728050595238,
      0.175106956845238,
      0.115373883928571,
      0.156319754464286,
      0.152273995535714,
      0.155505952380952,
      0.170479910714286,
      0.11283947172619,
      0.148902529761905,
      0.120000930059524,
      0.13960193452381,
      0.125209263392857,
      0.0829380580357143,
      0.114350818452381,
      0.0778692336309524,
      0.0898902529761905,
      0.157133556547619,
      0.0525018601190476,
      0.0258556547619048,
      0.029389880952381,
      0.15229724702381,
      0.151250930059524,
      0.035737537202381,
      0.0374348958333333,
      0.0239490327380952,
      0.0937732514880952,
      0.10298084077381,
      0.0417364211309524,
      0.0451776413690476,
      0.0639183407738095,
      0.151715959821429,
      0.0818917410714286,
      0.186755952380952,
      0.0505254836309524,
      0.036528087797619,
      0.144601004464286,
      0.0522925967261905,
      0.0189732142857143,
      0.0282505580357143,
      0.0229724702380952,
      0.141903831845238,
      0.0932849702380952,
      0.0226702008928571,
      0.0294131324404762,
      0.020414806547619,
      0.115536644345238,
      0.126743861607143,
      0.0565941220238095,
      0.074800037202381,
      0.1884765625,
      0.137672061011905,
      0.0350167410714286,
      0.170224144345238,
      0.22021484375,
      0.252697172619048,
      0.20263671875,
      0.11962890625,
      0.0283203125,
      0.0263206845238095,
      0.0774972098214286,
      0.103352864583333,
      0.0584542410714286,
      0.0369233630952381,
      0.0212286086309524,
      0.0396902901785714,
      0.147786458333333,
      0.0702659970238095,
      0.0422479538690476,
      0.0380161830357143,
      0.134626116071429,
      0.161783854166667,
      0.105631510416667,
      0.103864397321429,
      0.0287853422619048,
      0.029296875,
      0.106096540178571,
      0.0763346354166667,
      0.134672619047619,
      0.123604910714286,
      0.176339285714286,
      0.13623046875,
      0.0903552827380952,
      0.139927455357143,
      0.137881324404762,
      0.161039806547619,
      0.102236793154762,
      0.0502697172619048,
      0.155412946428571,
      0.167503720238095,
      0.169759114583333,
      0.117838541666667,
      0.0684756324404762,
      0.163853236607143,
      0.15132068452381,
      0.194219680059524,
      0.164132254464286,
      0.0341564360119048,
      0.0247628348214286,
      0.0285760788690476,
      0.0906110491071429,
      0.150785900297619,
      0.0210193452380952,
      0.0331333705357143,
      0.0163690476190476,
      0.0812174479166667,
      0.0769159226190476,
      0.0210193452380952,
      0.0344587053571429,
      0.0425037202380952,
      0.107933407738095,
      0.101004464285714,
      0.0912853422619048,
      0.0418759300595238,
      0.0500139508928571,
      0.104701450892857,
      0.101097470238095,
      0.0179036458333333,
      0.0233212425595238,
      0.0361793154761905,
      0.100074404761905,
      0.112467447916667,
      0.022065662202381,
      0.0307849702380952,
      0.032133556547619,
      0.106701078869048,
      0.0765206473214286,
      0.0423642113095238,
      0.0522925967261905,
      0.124232700892857,
      0.0529901413690476,
      0.0482003348214286,
      0.152994791666667,
      0.209891183035714,
      0.158528645833333,
      0.167550223214286,
      0.0728004092261905,
      0.15234375,
      0.104143415178571,
      0.166829427083333,
      0.104794456845238,
      0.0760091145833333,
      0.178780691964286,
      0.129952566964286,
      0.169131324404762,
      0.137183779761905,
      0.0818917410714286,
      0.175409226190476,
      0.126534598214286,
      0.18603515625,
      0.142485119047619,
      0.0979120163690476,
      0.159109933035714,
      0.14697265625,
      0.217192150297619,
      0.127743675595238,
      0.117024739583333,
      0.200265066964286,
      0.197405133928571,
      0.230329241071429,
      0.132463727678571,
      0.122093563988095,
      0.188197544642857,
      0.163760230654762,
      0.198660714285714,
      0.149088541666667,
      0.107561383928571,
      0.168759300595238,
      0.135230654761905,
      0.183803013392857,
      0.0909365699404762,
      0.0901692708333333,
      0.132649739583333,
      0.124139694940476,
      0.148856026785714,
      0.105119977678571,
      0.0265299479166667,
      0.027925037202381,
      0.064453125,
      0.199800037202381,
      0.0592447916666667,
      0.0319940476190476,
      0.0261811755952381,
      0.0387834821428571,
      0.149158296130952,
      0.0363420758928571,
      0.035249255952381,
      0.0319940476190476,
      0.0875418526785714,
      0.149274553571429,
      0.112932477678571,
      0.110444568452381,
      0.0268787202380952,
      0.0662667410714286,
      0.111886160714286,
      0.0181129092261905,
      0.028413318452381,
      0.02880859375,
      0.0846819196428571,
      0.124860491071429,
      0.0222284226190476,
      0.02734375,
      0.0214146205357143,
      0.0764276413690476,
      0.12007068452381,
      0.0259486607142857,
      0.0620582217261905,
      0.0955171130952381,
      0.201264880952381,
      0.051664806547619,
      0.0901227678571429,
      0.221772693452381,
      0.236025855654762,
      0.227678571428571,
      0.281552269345238,
      0.035249255952381,
      0.0223214285714286,
      0.0502464657738095,
      0.137881324404762,
      0.084077380952381,
      0.02734375,
      0.0291108630952381,
      0.0186709449404762,
      0.0834495907738095,
      0.14306640625,
      0.0367606026785714,
      0.0456659226190476,
      0.0525483630952381,
      0.176106770833333,
      0.0885649181547619,
      0.124279203869048,
      0.0435035342261905,
      0.0432012648809524,
      0.125790550595238,
      0.0841936383928571,
      0.10698009672619,
      0.160923549107143,
      0.160714285714286,
      0.198637462797619,
      0.108816964285714,
      0.132114955357143,
      0.169015066964286,
      0.180594308035714,
      0.15580822172619,
      0.0622442336309524,
      0.116466703869048,
      0.178385416666667,
      0.186941964285714,
      0.141020275297619,
      0.0885881696428571,
      0.135230654761905,
      0.167596726190476,
      0.218122209821429,
      0.178896949404762,
      0.111467633928571,
      0.0263671875,
      0.0243675595238095,
      0.0463634672619048,
      0.109468005952381,
      0.103376116071429,
      0.0357840401785714,
      0.0192289806547619,
      0.024321056547619,
      0.109281994047619,
      0.039155505952381,
      0.0339006696428571,
      0.0336216517857143,
      0.0540597098214286,
      0.11860584077381,
      0.111095610119048,
      0.0701962425595238,
      0.0327845982142857,
      0.0622907366071429,
      0.135625930059524,
      0.0443638392857143,
      0.0259951636904762,
      0.0192057291666667,
      0.0596865699404762,
      0.152460007440476,
      0.036039806547619,
      0.0302501860119048,
      0.025297619047619,
      0.0768694196428571,
      0.11039806547619,
      0.0326683407738095,
      0.0527808779761905,
      0.0849144345238095,
      0.10639880952381,
      0.032133556547619,
      0.0916573660714286,
      0.19233630952381,
      0.191266741071429,
      0.190848214285714,
      0.105561755952381,
      0.0143229166666667,
      0.0221586681547619,
      0.0622674851190476,
      0.158877418154762,
      0.125348772321429,
      0.0200660342261905,
      0.0315057663690476,
      0.0216471354166667,
      0.109607514880952,
      0.109933035714286,
      0.0216471354166667,
      0.0302269345238095,
      0.0386207217261905,
      0.145345052083333,
      0.111444382440476,
      0.0676850818452381,
      0.0263206845238095,
      0.0174386160714286,
      0.14839099702381,
      0.109979538690476,
      0.162806919642857,
      0.172712053571429,
      0.209798177083333,
      0.177594866071429,
      0.117606026785714,
      0.168108258928571,
      0.152901785714286,
      0.155436197916667,
      0.168387276785714,
      0.113606770833333,
      0.148297991071429,
      0.116117931547619,
      0.138369605654762,
      0.121000744047619,
      0.0798223586309524,
      0.109049479166667,
      0.0502697172619048,
      0.0553617931547619,
      0.208147321428571,
      0.0571056547619048,
      0.024809337797619,
      0.0212983630952381,
      0.057710193452381,
      0.153018043154762,
      0.0505719866071429,
      0.0251581101190476,
      0.017671130952381,
      0.0518740699404762,
      0.10786365327381,
      0.0436662946428571,
      0.0263206845238095,
      0.020112537202381,
      0.108816964285714,
      0.0857282366071429,
      0.107677641369048,
      0.0336449032738095,
      0.0192987351190476,
      0.113397507440476,
      0.0881928943452381,
      0.0187174479166667,
      0.0262044270833333,
      0.0138578869047619,
      0.106654575892857,
      0.120489211309524,
      0.0148809523809524,
      0.0266229538690476,
      0.0216936383928571,
      0.0935407366071429,
      0.124186197916667,
      0.024995349702381,
      0.0602446056547619,
      0.10405040922619,
      0.074311755952381,
      0.0336681547619048,
      0.0994001116071429,
      0.323265438988095,
      0.26176525297619,
      0.190452938988095,
      0.119768415178571,
      0.104631696428571,
      0.120419456845238,
      0.103724888392857,
      0.13188244047619,
      0.0785435267857143,
      0.101143973214286,
      0.0851702008928571,
      0.0666155133928571,
      0.112606956845238,
      0.0705450148809524,
      0.116048177083333,
      0.0750558035714286,
      0.115931919642857,
      0.126069568452381,
      0.0877511160714286,
      0.12885974702381,
      0.111979166666667,
      0.240838913690476,
      0.131533668154762,
      0.0726143973214286,
      0.125837053571429,
      0.0715913318452381,
      0.131696428571429,
      0.116303943452381,
      0.0701497395833333,
      0.141020275297619,
      0.0742652529761905,
      0.0772181919642857,
      0.102655319940476,
      0.0500139508928571,
      0.123232886904762,
      0.0602678571428571,
      0.0521763392857143,
      0.0254371279761905,
      0.0259951636904762,
      0.0268089657738095,
      0.0262044270833333,
      0.119489397321429,
      0.279758029513889
    ],
    "spectral_centroid_curve": [
      0.130511123642278,
      0.206386445815576,
      0.081431754171055,
      0.0776343914978172,
      0.117939209098636,
      0.0927118069593777,
      0.190386971610784,
      0.0920178602170728,
      0.106992683029201,
      0.201448576526459,
      0.104001598629828,
      0.0842904900112335,
      0.127609748790038,
      0.0938312897551851,
      0.114254842499497,
      0.0889743869130486,
      0.0946387801829528,
      0.121439371395919,
      0.184943817094954,
      0.0929817934033651,
      0.106039785825016,
      0.148247459169571,
      0.0986120145880459,
      0.090629703912572,
      0.0696800047473324,
      0.164821903984008,
      0.0914209421688012,
      0.159483045780468,
      0.159246588086718,
      0.181162082912006,
      0.107952383169979,
      0.0978822753104154,
      0.145879244835256,
      0.106210141946007,
      0.0787488020706501,
      0.120767989012102,
      0.10422545516174,
      0.12985547784563,
      0.209717655546312,
      0.0951478336469013,
      0.0771618675917299,
      0.0389743870173091,
      0.110528124695258,
      0.0595232862293055,
      0.107787229744232,
      0.0542775656330195,
      0.0533691874621379,
      0.118752341408469,
      0.067132733086818,
      0.130258871519196,
      0.064477410200929,
      0.0608257348097028,
      0.110452262344051,
      0.0578865218657684,
      0.1430734788122,
      0.0709955279213134,
      0.0688094347568176,
      0.116876380850329,
      0.106261293517587,
      0.138315253085646,
      0.0639892802031511,
      0.124013776211647,
      0.116995607585749,
      0.153579068258474,
      0.132467239428855,
      0.0784264565596902,
      0.126340085099349,
      0.0970759562727921,
      0.108953843799008,
      0.127819778014915,
      0.068348058085389,
      0.11246813026481,
      0.0738600280073503,
      0.0919488962982056,
      0.0955902214791512,
      0.0550737684325241,
      0.102399210176828,
      0.0671046615625712,
      0.0794551421079583,
      0.127108264837451,
      0.0345372811660609,
      0.0122907851521942,
      0.0156910005503253,
      0.119595562502271,
      0.113404435222163,
      0.0167590514756976,
      0.0180978262030078,
      0.00965458303364356,
      0.0760509294085519,
      0.0758247943895228,
      0.019125683095002,
      0.0267778341139652,
      0.0338442270927843,
      0.126189873354665,
      0.0692882802103685,
      0.151664313048619,
      0.0257734725532931,
      0.0187416025547954,
      0.115532698784001,
      0.0393190979191712,
      0.0117306080086435,
      0.0164346533114199,
      0.0137133296227596,
      0.108718250726721,
      0.0694830088437351,
      0.0117582275296704,
      0.0147545158663393,
      0.012672172657522,
      0.0928021377804679,
      0.0971789841896332,
      0.021795040439063,
      0.0439376354464467,
      0.159864328739416,
      0.121135115322456,
      0.0143905038932595,
      0.127122026402049,
      0.203602774585249,
      0.244034801625446,
      0.177274203831563,
      0.0956478256185298,
      0.013364057811775,
      0.0127818670067003,
      0.048695429256111,
      0.0835158842291572,
      0.0443677362551907,
      0.0185393468475361,
      0.0102870145584312,
      0.0213280161607852,
      0.119366661062333,
      0.0546264810401629,
      0.0241704916619906,
      0.0210860017821492,
      0.0986329628106245,
      0.132076262274706,
      0.0835065026905969,
      0.0773819117430559,
      0.0155148088731529,
      0.0206609041616624,
      0.0918092518753236,
      0.053719683379665,
      0.11053722462045,
      0.0953974431997131,
      0.144953433858757,
      0.133963058724755,
      0.0674067830813564,
      0.123891656394167,
      0.11383364264875,
      0.132051030330031,
      0.0884406851047772,
      0.0392013225570899,
      0.132024938528394,
      0.128838724068725,
      0.165594775768866,
      0.0837844904656478,
      0.0475139765075025,
      0.140994845797957,
      0.117659745208086,
      0.180479352045985,
      0.132033552837242,
      0.0139629455854774,
      0.0126579873654892,
      0.0146046436530959,
      0.0745498040621005,
      0.111466796910632,
      0.00999317246907989,
      0.0158720308396762,
      0.0070561423277506,
      0.0628617108976394,
      0.0519756925733196,
      0.0103827611081725,
      0.0194551834015291,
      0.0243008166221821,
      0.0906030350987924,
      0.0747891826100626,
      0.0735936576361176,
      0.0230337148590173,
      0.0311092967358778,
      0.0840436667145005,
      0.0666423340098354,
      0.0110112680785093,
      0.0150671871309657,
      0.0232088148867993,
      0.082971808633783,
      0.0769812951445327,
      0.0133041546445061,
      0.0122670466007821,
      0.0202411865244199,
      0.0870413697571768,
      0.0476508735849843,
      0.0267050843887988,
      0.0248295220871825,
      0.0997164930857486,
      0.0283640259609576,
      0.0254751426083286,
      0.129796264265198,
      0.186641162892175,
      0.139831076824655,
      0.136071926213349,
      0.0563166313244662,
      0.137325571590015,
      0.0951126693621856,
      0.151431324487356,
      0.100569869794144,
      0.0514598910409711,
      0.156384795747767,
      0.0956912762752166,
      0.147160452579617,
      0.114357416673391,
      0.0666500712633433,
      0.15646349125659,
      0.0935739588168173,
      0.170380859793694,
      0.102820472803095,
      0.0780411862549525,
      0.14611057030575,
      0.110787007671016,
      0.22132401970187,
      0.0844303927634509,
      0.0790056805103609,
      0.162353189314579,
      0.140315580048989,
      0.182875080384177,
      0.0943793341660458,
      0.0815767273726122,
      0.150480579989624,
      0.111359300859432,
      0.15792856961262,
      0.0949753872063982,
      0.0661368991358804,
      0.130864963446068,
      0.0875399165908748,
      0.151431350002003,
      0.0587182597055258,
      0.065129433344546,
      0.127415457780905,
      0.115334302247222,
      0.131511152059268,
      0.0736840086715714,
      0.0129820638382596,
      0.0136257803106353,
      0.0427205004816051,
      0.160639276188033,
      0.042349769274435,
      0.0158226496341616,
      0.0150235556206747,
      0.0212851152883339,
      0.107507014546195,
      0.0283619222321507,
      0.0215226585465218,
      0.0163567602345858,
      0.0616038751839275,
      0.117785999822373,
      0.0843385520108553,
      0.0821626933423732,
      0.0114112767374584,
      0.0399277616200135,
      0.09938749372881,
      0.0142064326743828,
      0.0184909661236484,
      0.0134048353705444,
      0.0664761423668784,
      0.110933280171457,
      0.0146296948119837,
      0.0146446738344994,
      0.0115523410982805,
      0.0611232502616481,
      0.0963087814579708,
      0.0150776445028503,
      0.0357187028525786,
      0.0631676747234998,
      0.187284457233214,
      0.0171364762456505,
      0.0594726761199957,
      0.188716216422491,
      0.228677963518061,
      0.232008907335189,
      0.256565880392599,
      0.0220332401757858,
      0.0124834685047943,
      0.0258513700550341,
      0.112287384961433,
      0.0619490397870178,
      0.0148384780404965,
      0.0167705833286596,
      0.00849730989215363,
      0.065983222381144,
      0.118862998527406,
      0.01569795659254,
      0.025281665807356,
      0.0299381656254461,
      0.145446351973473,
      0.0654455570091311,
      0.0925767073948508,
      0.0241012565682705,
      0.0204135140796784,
      0.0990338260634367,
      0.0613364614218324,
      0.0828272595497938,
      0.13707688873619,
      0.121862072475083,
      0.195343193449424,
      0.098898361238318,
      0.0996530418040944,
      0.151844769982979,
      0.150416507005676,
      0.126626421218093,
      0.0511778015404651,
      0.0915022136374432,
      0.146328307861685,
      0.170973893772662,
      0.124174621830379,
      0.0616746269989611,
      0.118692859734735,
      0.133969662858832,
      0.195734943847818,
      0.153499622936391,
      0.0825979741543165,
      0.0145551682665543,
      0.0125975042760369,
      0.0311667392517409,
      0.0941331659321965,
      0.0730589082589166,
      0.016280402513874,
      0.00921637386876355,
      0.0123581620118988,
      0.0888966704590168,
      0.0196378704149437,
      0.0196592601139429,
      0.0181105192252819,
      0.0337820976853873,
      0.0994798404859678,
      0.0888477855742455,
      0.0467955026476388,
      0.017295628407032,
      0.0390115690336025,
      0.113804651226798,
      0.0243290049646249,
      0.0162318356656884,
      0.0109747419653514,
      0.050109707654224,
      0.11447685273562,
      0.0176217121773549,
      0.0150012609246495,
      0.0112786718230857,
      0.0637603986640329,
      0.0771398627322157,
      0.0151715562768706,
      0.0326458101104793,
      0.0549136958056949,
      0.0786559479142082,
      0.0143539912226642,
      0.0622173811197534,
      0.171972849303883,
      0.160852630869367,
      0.168510675606294,
      0.0759115564448222,
      0.00955413729617578,
      0.0115084233278876,
      0.0270392799630146,
      0.106387535051634,
      0.0845695674051541,
      0.00910173585894664,
      0.0148495519782044,
      0.0101044567103663,
      0.0801069820225151,
      0.0625515173266971,
      0.00846658699853509,
      0.0167510612437032,
      0.0180451240488022,
      0.113130767230717,
      0.0816556599044095,
      0.0466167807296797,
      0.0146242221533574,
      0.00740561408426639,
      0.117054872469295,
      0.0726819011137549,
      0.123887411749214,
      0.118523414350406,
      0.153888140431026,
      0.131999052708016,
      0.0785723040397436,
      0.126252704873344,
      0.0973286822415011,
      0.10858637232315,
      0.127075941455994,
      0.0676339000120125,
      0.107298406269083,
      0.0735848182429281,
      0.093001812415692,
      0.0962667236389252,
      0.0520139489846535,
      0.101053374637976,
      0.0416841782685186,
      0.0460875296238079,
      0.183622587599049,
      0.0354531414822824,
      0.0122655333165257,
      0.0110873234283208,
      0.0455691063848923,
      0.122352657858935,
      0.0234380745974374,
      0.0145655018619268,
      0.00821717471587806,
      0.0411450956929878,
      0.0772315023452031,
      0.0205324101738924,
      0.0171939141113076,
      0.0112139010163294,
      0.0924522925277059,
      0.0617314508639944,
      0.0896232647149262,
      0.0190560926778369,
      0.01057737228156,
      0.0916549689402791,
      0.0583472677283209,
      0.0100089829307727,
      0.0150217095624,
      0.00902347096030371,
      0.0883769217567585,
      0.0851208509257903,
      0.00868705826430886,
      0.0138474026555561,
      0.0128326917658538,
      0.0784488961132684,
      0.0819355534139642,
      0.010487483797978,
      0.0331752601928988,
      0.0849872087614796,
      0.0451581494025427,
      0.0120051743464827,
      0.0727405909325445,
      0.306743618545085,
      0.241517460598175,
      0.153543804824331,
      0.0907159990895178,
      0.0751209122703546,
      0.0857011677547396,
      0.0674234162239789,
      0.111837388555377,
      0.0553444605823346,
      0.090654040220272,
      0.0584970437666825,
      0.0443165437495156,
      0.10491572228318,
      0.0488178827958029,
      0.101440006456096,
      0.0409073176821744,
      0.0819145928890946,
      0.11838415630355,
      0.0623464406366806,
      0.116247059773627,
      0.0812936418868911,
      0.193180894675398,
      0.114530669161069,
      0.0510597172195532,
      0.105309480281016,
      0.0464930841064998,
      0.0897053288224725,
      0.109595920650879,
      0.0457459699681839,
      0.116082090460842,
      0.0431028324509335,
      0.0683844192630431,
      0.081443175665142,
      0.0335643258455702,
      0.102329236959269,
      0.0361351632253769,
      0.0329080268015513,
      0.0247592362766486,
      0.025072930608923,
      0.0252544363381486,
      0.0250586760310583,
      0.0779016034190901,
      0.216716134115624
    ],
    "spectral_bandwidth_curve": [
      0.146316739885892,
      0.161563160754902,
      0.0665868129939736,
      0.0676937311989928,
      0.130364605424227,
      0.0849347855291118,
      0.184155862443065,
      0.125534883473996,
      0.153892606983531,
      0.206222934007242,
      0.100373928280058,
      0.105153928070374,
      0.14419879334191,
      0.0972605746178229,
      0.137087543072559,
      0.10896657664634,
      0.0949309264179153,
      0.0979974564913029,
      0.124645579263776,
      0.0919959755007134,
      0.100075627337754,
      0.151516184550729,
      0.0867095714199964,
      0.103440819857598,
      0.0613954517522867,
      0.140934985642716,
      0.115815996795841,
      0.157903814953808,
      0.167669148361256,
      0.176260536271119,
      0.105624288602735,
      0.106222855410143,
      0.157113202046047,
      0.110095929659851,
      0.112833534573164,
      0.120834909020588,
      0.0966799482521063,
      0.104668521313076,
      0.152952837138544,
      0.111848218228063,
      0.0962646447942669,
      0.057695843842199,
      0.125649167806176,
      0.102317904544826,
      0.146352722928294,
      0.0651444244647025,
      0.0804951869244975,
      0.146605096275035,
      0.10562207975486,
      0.15275140230731,
      0.106326434104124,
      0.0839655147436602,
      0.134033888651329,
      0.103955829901942,
      0.167155164853238,
      0.113748808724371,
      0.0960399505701973,
      0.156512972459019,
      0.147299831637287,
      0.165154273717494,
      0.113897318687024,
      0.175415456545702,
      0.17616698724371,
      0.214836607768468,
      0.184469481053164,
      0.135704057701337,
      0.15862869016791,
      0.170618741619193,
      0.185896408529473,
      0.172494921798224,
      0.125999444527132,
      0.154057139385706,
      0.139581272379247,
      0.163345588555815,
      0.134912097998732,
      0.0763794713867979,
      0.129845615577596,
      0.0712548150041189,
      0.059243031968802,
      0.178943377419619,
      0.0714238686689905,
      0.0446018114451401,
      0.0564696185552569,
      0.196688864854298,
      0.164642361592819,
      0.0501810247441198,
      0.0700109646389689,
      0.0462926646585622,
      0.163051144018128,
      0.130404247653125,
      0.0637808300601111,
      0.0890593793714659,
      0.102803612699475,
      0.166308532855138,
      0.0990924624068842,
      0.195064430578896,
      0.0809209157761631,
      0.0736285067623705,
      0.167741914448616,
      0.0639433071942362,
      0.0338057210179314,
      0.0580046997851458,
      0.0437046728464506,
      0.168013320838896,
      0.116708174951571,
      0.0380433167899018,
      0.0548294818678481,
      0.0435790403010442,
      0.152770777703578,
      0.141306142075352,
      0.080876385609153,
      0.112311992107915,
      0.206944801963044,
      0.141126991034956,
      0.0533308996884274,
      0.188039583358843,
      0.191256376428762,
      0.206323411002802,
      0.178499358678153,
      0.126948338417786,
      0.053462552659639,
      0.0469210096285677,
      0.120212088810337,
      0.102040888046495,
      0.0779310663219149,
      0.0693091630108045,
      0.0423122406106544,
      0.0758014830781202,
      0.174686296927616,
      0.0716872611931022,
      0.0750067357329281,
      0.0705599196598873,
      0.160682754293242,
      0.157509758377817,
      0.108938374339359,
      0.112490284540877,
      0.0581720111429967,
      0.0507213835369619,
      0.124433860739787,
      0.073643590472165,
      0.14469268475362,
      0.134910547247786,
      0.156401283027307,
      0.141324902344991,
      0.0919080831876534,
      0.130956523978713,
      0.123200743528262,
      0.161867749148959,
      0.100678657201643,
      0.0439242856699523,
      0.14879037699251,
      0.151500741511038,
      0.179927638976046,
      0.126468531875927,
      0.0844391436560834,
      0.14021830341055,
      0.131092907673023,
      0.147629792524367,
      0.143032336269427,
      0.039464039500769,
      0.0411072731241485,
      0.0424856923365783,
      0.121571098706939,
      0.139059711936595,
      0.0349684753357075,
      0.0579134655067799,
      0.0285192698967728,
      0.104929634063848,
      0.0815209942251515,
      0.0317141352862541,
      0.0644880179591968,
      0.0641013263417496,
      0.128195325784009,
      0.112738191725349,
      0.0797161374990615,
      0.0698306735503246,
      0.0844142858342628,
      0.108607108563081,
      0.0859229043009533,
      0.0308640830152316,
      0.0458324835622411,
      0.0618296359471215,
      0.103574696593726,
      0.122091190988283,
      0.042872386384207,
      0.0475099084092028,
      0.0669825561188018,
      0.111341373390653,
      0.0709067091768223,
      0.0645861611768211,
      0.0741479885377598,
      0.138732424305578,
      0.0742251324793711,
      0.0556446590692598,
      0.146258548850111,
      0.194497553838576,
      0.133666151757969,
      0.158567019160288,
      0.0646583116666524,
      0.143561143842623,
      0.118319180365603,
      0.163749325684354,
      0.104767937747518,
      0.0650039338980163,
      0.177385878970222,
      0.127728842033319,
      0.151806436331465,
      0.139032484045946,
      0.088557224130776,
      0.173892089681151,
      0.121449000205815,
      0.179895297366095,
      0.143213888049005,
      0.0910903374132287,
      0.165014925540246,
      0.163077208399298,
      0.192729256732968,
      0.118035688207911,
      0.12993393112086,
      0.198481850345037,
      0.196972184936956,
      0.226883582695748,
      0.154467619946548,
      0.131156978478956,
      0.191943043013209,
      0.186755903439899,
      0.208078684005071,
      0.159228015614158,
      0.113806834434054,
      0.177281101909381,
      0.14519204875361,
      0.206003323014876,
      0.0915114858601147,
      0.0965469366657392,
      0.156151382372089,
      0.0844772172077314,
      0.164895320895562,
      0.121170561175547,
      0.046970830933133,
      0.0561575058731617,
      0.0985517607408853,
      0.215806191293751,
      0.069654146077895,
      0.0567019812667247,
      0.0543678756043592,
      0.0715649686409045,
      0.182136204214801,
      0.0576078220567579,
      0.0615364143469577,
      0.0572097848793424,
      0.137897838688357,
      0.171835437531909,
      0.130557077067712,
      0.119272806852042,
      0.0429642394626811,
      0.104499601055413,
      0.137369134097818,
      0.0190441742011285,
      0.05529577203196,
      0.0548278402036099,
      0.122695533184954,
      0.139481402330635,
      0.0214740034051728,
      0.0507954248276257,
      0.043431435217855,
      0.124280913337539,
      0.132933097889289,
      0.0348721086164475,
      0.0941267362071099,
      0.129642244464061,
      0.196933868459394,
      0.0679220162325378,
      0.110519008998959,
      0.190182175208966,
      0.210151466648137,
      0.184884515215663,
      0.207351517373127,
      0.0355814619456837,
      0.0407974162972544,
      0.0765263078169214,
      0.15875328916637,
      0.0907736589191464,
      0.0439737130373546,
      0.0555407192361129,
      0.0348018121193393,
      0.107031894728538,
      0.145438654514331,
      0.049427051180132,
      0.0818898904862065,
      0.0839168831260359,
      0.186467250841407,
      0.13097367346139,
      0.118402524452075,
      0.0738264960641958,
      0.063475218064875,
      0.139664650761154,
      0.0953339215107555,
      0.111020204274256,
      0.16558037056697,
      0.162750801473484,
      0.175661863993078,
      0.110382387928462,
      0.131138335331597,
      0.160090923327073,
      0.154603910811986,
      0.14946950213179,
      0.0591152077581399,
      0.121203372849029,
      0.164130443422282,
      0.179926042134529,
      0.157820870892836,
      0.104123042066446,
      0.14236333992613,
      0.145848194409704,
      0.159012270188645,
      0.153883838842169,
      0.0917129879114887,
      0.0447771315820895,
      0.0362965284356773,
      0.080857370201038,
      0.111790985556037,
      0.105314674640738,
      0.0567172864015584,
      0.0383969289739595,
      0.0446473847721133,
      0.1240464760653,
      0.041642639998368,
      0.0642276129311201,
      0.053395139255308,
      0.0771474378989327,
      0.13339080472087,
      0.10706458983703,
      0.0861364275525266,
      0.053338052950912,
      0.0841969088441618,
      0.129194980701504,
      0.047297560448266,
      0.0497160602575051,
      0.0342767000148881,
      0.0852776991303188,
      0.150732790799475,
      0.0477623910382502,
      0.0524284342994876,
      0.0445484660024551,
      0.103699655999721,
      0.101725680846379,
      0.0399176164931928,
      0.0891081911681995,
      0.0928912363967349,
      0.124821633128385,
      0.0452197477250818,
      0.0968228473402853,
      0.169717560560253,
      0.169287791979056,
      0.159776836399723,
      0.106502985607464,
      0.0338458288487643,
      0.0414107894145509,
      0.0875147196146567,
      0.170762810981933,
      0.13411723513147,
      0.035763389675304,
      0.0557139012290795,
      0.0463304493830437,
      0.140640726786512,
      0.121634263201531,
      0.0353304118242075,
      0.0579860198032838,
      0.0665408159362716,
      0.161639846612062,
      0.122551785894027,
      0.0727265843236223,
      0.0438234241424049,
      0.0262974313061586,
      0.170877917133688,
      0.126229398716445,
      0.186425918220889,
      0.177697547281385,
      0.214936435985762,
      0.188559916689963,
      0.140797655212569,
      0.165823784235131,
      0.170686838683187,
      0.184945037894551,
      0.179235175638365,
      0.128651602733495,
      0.159890784631446,
      0.138830990065726,
      0.165247065928242,
      0.136097354228407,
      0.0782930031346157,
      0.130000498513862,
      0.0632493868780405,
      0.0677678511419538,
      0.222274689725735,
      0.0692541604728802,
      0.0407941556297285,
      0.0338068645538129,
      0.08121350328196,
      0.146412226832576,
      0.0545485837167138,
      0.0457923795719992,
      0.0343513788959123,
      0.0826468175944598,
      0.115111364051828,
      0.0602372882183842,
      0.0566515586304053,
      0.03658987501588,
      0.131428931158999,
      0.100274497963242,
      0.121352532258513,
      0.0603109657369088,
      0.0405880287516948,
      0.144832522358765,
      0.099108272151933,
      0.0313889492008322,
      0.051466368560737,
      0.0267222561843516,
      0.145195134070829,
      0.127397625567371,
      0.0232099440938858,
      0.0514533778150019,
      0.0449043377127071,
      0.123435426088727,
      0.128159299296818,
      0.0376239838046468,
      0.0921538807804294,
      0.134314507133804,
      0.0907643933126384,
      0.046260808694809,
      0.110902654590278,
      0.302759379454791,
      0.226157446935209,
      0.188884313680073,
      0.111314478863711,
      0.110755349861707,
      0.120232031570252,
      0.118183934317126,
      0.138259593255013,
      0.0689965721940623,
      0.106504703276681,
      0.0944930462625953,
      0.074668958533624,
      0.120252472058367,
      0.0637955555410332,
      0.12734576827169,
      0.0871301481245079,
      0.117043719968475,
      0.130313483494247,
      0.0757672780755223,
      0.141177745087833,
      0.134909657115878,
      0.222518916212746,
      0.126152066321422,
      0.0697709578914196,
      0.133187029854704,
      0.0940193938480703,
      0.149819190125728,
      0.115279375586299,
      0.0690770123187979,
      0.147623788752116,
      0.0875211872771837,
      0.0827501695195436,
      0.101348256670933,
      0.0504332697551765,
      0.133146909547746,
      0.0741997843450848,
      0.0609757674041413,
      0.00872869189163112,
      0.0104126624929519,
      0.00717640459018945,
      0.00743827028564637,
      0.0851351406346237,
      0.288015067443587
    ],
    "spectral_rolloff_curve": [
      0.176897321428571,
      0.333379836309524,
      0.114862351190476,
      0.105236235119048,
      0.212193080357143,
      0.123511904761905,
      0.325567336309524,
      0.182338169642857,
      0.236653645833333,
      0.392810639880952,
      0.15141369047619,
      0.119605654761905,
      0.227957589285714,
      0.157784598214286,
      0.189313616071429,
      0.13090587797619,
      0.147646949404762,
      0.19428943452381,
      0.281529017857143,
      0.152669270833333,
      0.1318359375,
      0.283528645833333,
      0.118768601190476,
      0.109747023809524,
      0.0903552827380952,
      0.278878348214286,
      0.159598214285714,
      0.257114955357143,
      0.268275669642857,
      0.30366443452381,
      0.164899553571429,
      0.134347098214286,
      0.243768601190476,
      0.165783110119048,
      0.109700520833333,
      0.171084449404762,
      0.156901041666667,
      0.195963541666667,
      0.315057663690476,
      0.151739211309524,
      0.11811755952381,
      0.0401785714285714,
      0.190150669642857,
      0.0668247767857143,
      0.181454613095238,
      0.0796130952380952,
      0.0643136160714286,
      0.197637648809524,
      0.0896112351190476,
      0.24116443452381,
      0.0765438988095238,
      0.0827752976190476,
      0.18852306547619,
      0.0722191220238095,
      0.266973586309524,
      0.0784505208333333,
      0.108723958333333,
      0.197079613095238,
      0.170665922619048,
      0.258277529761905,
      0.064453125,
      0.183175223214286,
      0.16303943452381,
      0.333705357142857,
      0.2451171875,
      0.102446056547619,
      0.213960193452381,
      0.123186383928571,
      0.152483258928571,
      0.208705357142857,
      0.0779854910714286,
      0.203311011904762,
      0.0906343005952381,
      0.131603422619048,
      0.180943080357143,
      0.0872860863095238,
      0.18354724702381,
      0.0871465773809524,
      0.0966331845238095,
      0.205589657738095,
      0.0347377232142857,
      0.00739397321428571,
      0.00767299107142857,
      0.312825520833333,
      0.272739955357143,
      0.0127418154761905,
      0.010649181547619,
      0.00548735119047619,
      0.168712797619048,
      0.15718005952381,
      0.0147879464285714,
      0.01953125,
      0.028227306547619,
      0.246419270833333,
      0.122535342261905,
      0.340913318452381,
      0.0239490327380952,
      0.0129743303571429,
      0.241582961309524,
      0.0583612351190476,
      0.00757998511904762,
      0.00716145833333333,
      0.0114862351190476,
      0.235119047619048,
      0.175455729166667,
      0.00660342261904762,
      0.00646391369047619,
      0.00595238095238095,
      0.163736979166667,
      0.261904761904762,
      0.00655691964285714,
      0.0687779017857143,
      0.324125744047619,
      0.181315104166667,
      0.0087890625,
      0.297061011904762,
      0.390392485119048,
      0.405412946428571,
      0.322591145833333,
      0.186709449404762,
      0.00739397321428571,
      0.00720796130952381,
      0.079985119047619,
      0.170386904761905,
      0.0724051339285714,
      0.00692894345238095,
      0.0056733630952381,
      0.00851004464285714,
      0.256231398809524,
      0.0777064732142857,
      0.0196707589285714,
      0.00864955357142857,
      0.190894717261905,
      0.271716889880952,
      0.176571800595238,
      0.136114211309524,
      0.00576636904761905,
      0.0505022321428571,
      0.192568824404762,
      0.08203125,
      0.198753720238095,
      0.229678199404762,
      0.229073660714286,
      0.248186383928571,
      0.108816964285714,
      0.246372767857143,
      0.235863095238095,
      0.257347470238095,
      0.169270833333333,
      0.0531994047619048,
      0.290690104166667,
      0.247907366071429,
      0.29292224702381,
      0.192801339285714,
      0.0622209821428571,
      0.261160714285714,
      0.218191964285714,
      0.294828869047619,
      0.211449032738095,
      0.0108816964285714,
      0.00739397321428571,
      0.00832403273809524,
      0.153971354166667,
      0.221772693452381,
      0.00590587797619048,
      0.0109281994047619,
      0.0048828125,
      0.116489955357143,
      0.0893787202380952,
      0.00623139880952381,
      0.0178571428571429,
      0.0377604166666667,
      0.196521577380952,
      0.114769345238095,
      0.149879092261905,
      0.0292503720238095,
      0.0628255208333333,
      0.181640625,
      0.0837983630952381,
      0.00744047619047619,
      0.00832403273809524,
      0.0298549107142857,
      0.176292782738095,
      0.13569568452381,
      0.00688244047619048,
      0.00646391369047619,
      0.0206938244047619,
      0.178617931547619,
      0.0793340773809524,
      0.0407366071428571,
      0.021484375,
      0.21284412202381,
      0.0322730654761905,
      0.0390159970238095,
      0.273018973214286,
      0.352818080357143,
      0.240141369047619,
      0.257672991071429,
      0.083100818452381,
      0.266369047619048,
      0.157784598214286,
      0.240420386904762,
      0.184151785714286,
      0.079985119047619,
      0.315011160714286,
      0.158900669642857,
      0.245675223214286,
      0.199730282738095,
      0.119791666666667,
      0.301571800595238,
      0.14936755952381,
      0.287899925595238,
      0.167364211309524,
      0.143694196428571,
      0.280738467261905,
      0.190987723214286,
      0.385463169642857,
      0.131417410714286,
      0.126116071428571,
      0.286783854166667,
      0.267159598214286,
      0.418805803571429,
      0.129557291666667,
      0.125837053571429,
      0.281622023809524,
      0.164760044642857,
      0.304268973214286,
      0.119698660714286,
      0.104120163690476,
      0.243350074404762,
      0.139415922619048,
      0.294921875,
      0.086821056547619,
      0.117373511904762,
      0.249302455357143,
      0.18559337797619,
      0.233072916666667,
      0.0856119791666667,
      0.00753348214285714,
      0.00716145833333333,
      0.0737537202380952,
      0.370907738095238,
      0.0914713541666667,
      0.00558035714285714,
      0.0144624255952381,
      0.010649181547619,
      0.246605282738095,
      0.0498511904761905,
      0.0308314732142857,
      0.01171875,
      0.122535342261905,
      0.247721354166667,
      0.150716145833333,
      0.145275297619048,
      0.00562686011904762,
      0.0812406994047619,
      0.220935639880952,
      0.0168805803571429,
      0.00846354166666667,
      0.00730096726190476,
      0.16792224702381,
      0.237165178571429,
      0.0191592261904762,
      0.0066499255952381,
      0.00632440476190476,
      0.135044642857143,
      0.197498139880952,
      0.0139508928571429,
      0.0446428571428571,
      0.128022693452381,
      0.338030133928571,
      0.00999813988095238,
      0.120814732142857,
      0.38969494047619,
      0.386532738095238,
      0.353934151785714,
      0.448660714285714,
      0.023344494047619,
      0.00776599702380952,
      0.0169735863095238,
      0.263299851190476,
      0.125325520833333,
      0.00920758928571429,
      0.0121837797619048,
      0.00502232142857143,
      0.121326264880952,
      0.219308035714286,
      0.0078125,
      0.0173456101190476,
      0.0417131696428571,
      0.325753348214286,
      0.100027901785714,
      0.1669921875,
      0.0246465773809524,
      0.0123697916666667,
      0.227957589285714,
      0.124674479166667,
      0.138299851190476,
      0.313848586309524,
      0.251302083333333,
      0.347144717261905,
      0.184291294642857,
      0.192289806547619,
      0.320591517857143,
      0.3115234375,
      0.243024553571429,
      0.07421875,
      0.198660714285714,
      0.312313988095238,
      0.339425223214286,
      0.2392578125,
      0.134579613095238,
      0.228794642857143,
      0.250372023809524,
      0.35444568452381,
      0.261579241071429,
      0.128115699404762,
      0.00767299107142857,
      0.00837053571428571,
      0.0574311755952381,
      0.166899181547619,
      0.164481026785714,
      0.0107421875,
      0.00562686011904762,
      0.00492931547619048,
      0.179547991071429,
      0.0242280505952381,
      0.0182291666666667,
      0.0185081845238095,
      0.0730561755952381,
      0.188569568452381,
      0.154389880952381,
      0.0805896577380952,
      0.0255301339285714,
      0.0795665922619048,
      0.197916666666667,
      0.0244605654761905,
      0.00744047619047619,
      0.00730096726190476,
      0.105840773809524,
      0.231770833333333,
      0.0146949404761905,
      0.0070219494047619,
      0.00623139880952381,
      0.119373139880952,
      0.138997395833333,
      0.0146949404761905,
      0.0405970982142857,
      0.103934151785714,
      0.15034412202381,
      0.0101841517857143,
      0.137183779761905,
      0.319010416666667,
      0.317708333333333,
      0.316080729166667,
      0.139880952380952,
      0.00757998511904762,
      0.00716145833333333,
      0.0160900297619048,
      0.18754650297619,
      0.106073288690476,
      0.00595238095238095,
      0.00953311011904762,
      0.0048828125,
      0.144996279761905,
      0.0785900297619048,
      0.0070219494047619,
      0.0176246279761905,
      0.0208798363095238,
      0.200288318452381,
      0.1142578125,
      0.0642671130952381,
      0.0179501488095238,
      0.00744047619047619,
      0.203404017857143,
      0.0712890625,
      0.176525297619048,
      0.167829241071429,
      0.339936755952381,
      0.243722098214286,
      0.0939360119047619,
      0.213402157738095,
      0.124534970238095,
      0.150251116071429,
      0.209542410714286,
      0.0762183779761905,
      0.171270461309524,
      0.0902622767857143,
      0.135091145833333,
      0.174014136904762,
      0.0772879464285714,
      0.177827380952381,
      0.0505952380952381,
      0.048828125,
      0.378627232142857,
      0.0364583333333333,
      0.00744047619047619,
      0.00716145833333333,
      0.10546875,
      0.224097842261905,
      0.0259951636904762,
      0.010835193452381,
      0.00544084821428571,
      0.0686848958333333,
      0.14448474702381,
      0.0280877976190476,
      0.0172526041666667,
      0.00548735119047619,
      0.2158203125,
      0.132626488095238,
      0.190848214285714,
      0.0228794642857143,
      0.0048828125,
      0.188941592261905,
      0.0990978422619048,
      0.00767299107142857,
      0.00716145833333333,
      0.0068359375,
      0.160528273809524,
      0.174200148809524,
      0.00655691964285714,
      0.00655691964285714,
      0.005859375,
      0.155784970238095,
      0.186755952380952,
      0.00651041666666667,
      0.0416666666666667,
      0.184384300595238,
      0.0797061011904762,
      0.00846354166666667,
      0.157691592261905,
      0.643229166666667,
      0.421968005952381,
      0.327287946428571,
      0.166434151785714,
      0.104352678571429,
      0.120907738095238,
      0.0807756696428571,
      0.205543154761905,
      0.0766369047619048,
      0.144066220238095,
      0.0838448660714286,
      0.0398995535714286,
      0.196521577380952,
      0.0756603422619048,
      0.183175223214286,
      0.0399925595238095,
      0.16303943452381,
      0.240373883928571,
      0.120024181547619,
      0.216982886904762,
      0.102678571428571,
      0.374581473214286,
      0.225725446428571,
      0.0734747023809524,
      0.180989583333333,
      0.0412016369047619,
      0.137090773809524,
      0.212146577380952,
      0.0553385416666667,
      0.197358630952381,
      0.0400855654761905,
      0.0994698660714286,
      0.140020461309524,
      0.0388764880952381,
      0.186430431547619,
      0.0344587053571429,
      0.0339471726190476,
      0.0281808035714286,
      0.030180431547619,
      0.0310174851190476,
      0.0302269345238095,
      0.16010974702381,
      0.572536892361111
    ],
    "spectral_flatness_curve": [
      0.00389695753186879,
      0.00179565524396992,
      7.58317363686989e-7,
      0.00000140824917312042,
      0.000816985634618523,
      0.0000160664371028619,
      0.00160253021888631,
      0.00000824144466125924,
      0.00000862199039658172,
      0.00422528626942882,
      0.00000975843721858747,
      0.00000452511423281866,
      0.000145389007319237,
      0.00000403585459835601,
      0.0000861434757266008,
      0.0000120451170148081,
      0.00000421488899467863,
      0.00000312151445268542,
      0.000290155277630903,
      0.0000105041797114201,
      0.00000685846407520261,
      0.000372144242048215,
      7.82476429811725e-7,
      0.0000123165458160985,
      0.00000129046607131765,
      0.00121469500900979,
      0.0000340891590238709,
      0.0000242617229362544,
      0.0000576340553067294,
      0.000799461689546564,
      0.0000221477538259176,
      0.00000791326845765206,
      0.000103514521541526,
      0.00000765355795650163,
      0.00000453054835503845,
      0.0000142550357846532,
      0.00000740823785656514,
      0.00000603887466493261,
      0.000479241233820439,
      0.00000394194072935981,
      0.00000457131632270185,
      8.26200279773175e-8,
      0.00205554015286686,
      0.00000140831352622895,
      0.000629904952571444,
      8.09074005739025e-7,
      0.00000137623780014852,
      0.00118959827387831,
      0.000018949367489995,
      0.00211432458731852,
      0.00000266010891113993,
      0.000126628548278927,
      0.00150176191052011,
      0.00000669624425638957,
      0.00264526125096665,
      0.00000298027871018147,
      0.000719149966688791,
      0.000820368253180682,
      0.000268290886194287,
      0.00218374728070784,
      0.0000030554776100042,
      0.000864362033660438,
      0.000341658123697335,
      0.0000408076299959869,
      0.000399516698679044,
      0.00000659486451261895,
      0.00167447314973213,
      0.0000378152866812657,
      0.0000215763641958421,
      0.0014473350814889,
      0.00000909162121518481,
      0.00111394454942042,
      0.00000877649479778558,
      0.00000381368332950888,
      0.000842724608041232,
      4.44246429885283e-7,
      0.000929847382492089,
      3.14996839428562e-7,
      9.07113404693011e-8,
      0.00118235902852014,
      0.00000103633935088354,
      1.1922346298572e-7,
      1.24613911934853e-7,
      0.0000462564095763598,
      0.000514940805935131,
      2.94830556420484e-7,
      7.83923478157237e-7,
      3.03069631269001e-8,
      0.000170796402628835,
      0.000175583454900507,
      8.10167629117003e-7,
      0.0000016490245991383,
      0.00000132207086605881,
      0.000940809139156977,
      0.0000517797345911757,
      0.000311069876690964,
      0.0000025790142858889,
      2.69521742828494e-7,
      0.00121622532821315,
      7.25828692329636e-7,
      3.14912139479182e-8,
      4.40818709729148e-7,
      6.81466469543465e-8,
      0.000442844170842577,
      0.0000164009828498526,
      7.90060782222312e-8,
      4.1547555669686e-7,
      3.96770000377146e-8,
      0.000555933901408572,
      0.0000044273954971272,
      1.17416319852965e-7,
      0.00000804865699656116,
      0.000062314747171469,
      0.0000261757252812528,
      4.16842208446993e-7,
      0.000472388846688775,
      0.0019359991206083,
      0.000222185744420704,
      0.00129415504587049,
      0.0000634059536181319,
      8.14163460748163e-8,
      6.17720162684291e-8,
      0.00000146233475292167,
      0.000404693669444678,
      0.00000712553877096224,
      6.57588711886976e-7,
      4.10624903239792e-8,
      4.53761930287301e-7,
      0.000503276757957992,
      0.00000389251341142935,
      0.00000143809691667915,
      1.97262107455461e-7,
      0.000009752416067616,
      0.00168459310423685,
      0.0000259032362214426,
      0.000105008657880941,
      8.07211469328134e-8,
      4.15844750170987e-7,
      0.00108031262520311,
      0.00000244844746104055,
      0.000749478511990758,
      0.0000025171252288273,
      0.000272082117192293,
      0.00069592943671688,
      0.00000563297742537726,
      0.00105249758995768,
      0.00000713438947571546,
      0.000453145087340222,
      0.000895491613176888,
      4.07025690587421e-7,
      0.00111461814419812,
      0.0000075688074057232,
      0.000887850701379853,
      0.000286811895398335,
      5.75283776159015e-7,
      0.00185768422315241,
      0.0000940308449078395,
      0.00115665204611483,
      0.000155626680647112,
      0.00000107806532100031,
      1.25653269301426e-7,
      1.66363891119275e-7,
      0.000374961696898714,
      0.000104351621224401,
      4.09084707626477e-8,
      7.26898518542657e-7,
      1.32564260192997e-8,
      0.000375732634495985,
      0.00000602523541484832,
      9.52038845551829e-8,
      0.00000117712320532888,
      0.00000138895298442213,
      0.00150171564726198,
      0.0000162949685490796,
      0.00017005653625581,
      0.00000231540508499581,
      0.00000108054532911763,
      0.000978584124784968,
      0.00000957086585274212,
      5.05595423692586e-8,
      4.28267084256682e-7,
      0.00000102265037875681,
      0.000465300463350578,
      0.0000422367127979107,
      2.97686534734195e-7,
      1.48104089794486e-7,
      5.11764647152648e-7,
      0.000585904836333956,
      0.00000660307744669065,
      0.00000608027401335173,
      2.85902860071775e-7,
      0.0000881353514083257,
      0.00000332232821110017,
      4.47871314634909e-7,
      0.00163509785886822,
      0.000385506770206351,
      0.0000862512271502422,
      0.00146319363440626,
      0.00000247897261817263,
      0.00208813763840336,
      0.0000630662905200814,
      0.000295797178680375,
      0.000570422310505775,
      0.00000263391258453842,
      0.00110646472782813,
      0.000112200575731032,
      0.000745954939640822,
      0.00189043834011211,
      0.0000237165721979578,
      0.00171332246688668,
      0.000274621811668715,
      0.00208346697933795,
      0.00110613392345239,
      0.0000494027442920444,
      0.00172245187875173,
      0.0000223477291965943,
      0.00314368473191751,
      0.000284453497128473,
      0.0000218162001636784,
      0.00122690950746211,
      0.000269923629100907,
      0.000452233769681687,
      0.0000139572469661572,
      0.0000193050279705509,
      0.00177878877054934,
      0.0000802535647305265,
      0.00154165911280303,
      0.0000197857272029743,
      0.0000122918204433644,
      0.00108761623307371,
      0.000129786533275504,
      0.00089395690211819,
      6.93870698809685e-7,
      0.0000120218577057583,
      0.000921507913586426,
      0.0000171539308029727,
      0.00117077505096963,
      0.00000606759798504874,
      4.57165212929271e-8,
      1.26753406903281e-7,
      0.00000133029097445779,
      0.000418401356155885,
      0.0000029035493810091,
      1.60242587407303e-7,
      7.5041244964034e-7,
      1.69217931273226e-7,
      0.000429997506705173,
      5.12644498302858e-7,
      0.00000109742346024138,
      5.46255287338284e-7,
      0.00000657761285724091,
      0.00122348776438607,
      0.000106822258446124,
      0.000143385210173032,
      6.9793730844847e-8,
      0.00000308265647971241,
      0.00110483818830474,
      3.89286011644945e-9,
      5.32257628153831e-7,
      2.66902895273048e-8,
      6.61686680206174e-7,
      0.000435623955051308,
      5.5897008827345e-9,
      3.90473080485705e-7,
      3.06023162065058e-8,
      4.15032261887556e-7,
      0.000571759096112357,
      1.02241345020787e-7,
      0.00000747597618014487,
      0.00000805425873669548,
      0.000232734969307569,
      0.00000159713982229533,
      0.0000242365659588195,
      0.00263442631715968,
      0.001657366513157,
      0.00136450213689935,
      0.00344852323938644,
      5.65403711824214e-7,
      1.1551325078386e-7,
      8.68588439462375e-8,
      0.000360572440436648,
      0.0000643752233959592,
      1.69806089406212e-7,
      7.75510327873992e-7,
      1.67540856688098e-8,
      0.000414917610987782,
      0.0000347466822960219,
      1.28265081197552e-7,
      0.00000113196099036474,
      3.1458967079832e-7,
      0.00155450683787749,
      0.00000688147020989236,
      0.00011761867285916,
      0.00000241610248802518,
      1.11953058926676e-7,
      0.000971101036664074,
      0.0000045476290324962,
      0.0000840734146876526,
      0.000810476853343653,
      0.00007506017315081,
      0.00109155318642834,
      0.0000625662552952097,
      0.0000356828410390111,
      0.00107616144748427,
      0.000103831372637581,
      0.00129556029544535,
      0.00000116193360117959,
      0.000362949517286331,
      0.000755807107557889,
      0.0000537565008344045,
      0.00122136036689056,
      5.43058766285108e-7,
      0.00134717531241791,
      0.000500579697960608,
      0.000442811253847246,
      0.00112584339391429,
      0.0000671487461480981,
      1.54022235513618e-7,
      1.01376383916018e-8,
      0.00000191468444958224,
      0.000401063541261036,
      0.000100422973430304,
      7.75095307693754e-7,
      2.45959083186955e-8,
      1.78792401717939e-7,
      0.000371599881124283,
      4.52256764811973e-7,
      0.00000124339872149069,
      4.34843894889266e-7,
      0.00000427001281715238,
      0.00142291832082072,
      0.000127757182795079,
      0.0000585289964789491,
      1.77450126350062e-7,
      0.0000088194688869173,
      0.0010242830440285,
      0.00000211326273263826,
      4.68856715336036e-7,
      4.11519837631473e-8,
      0.000222945219312702,
      0.000276730441810966,
      0.0000044169620816916,
      4.42592375137663e-7,
      3.27285310282157e-8,
      0.000555772285104755,
      0.0000516446118587264,
      2.61912417185101e-7,
      0.00000608653380755831,
      0.0000114091937664366,
      0.0000791692452757183,
      6.93486945099354e-8,
      0.0000428678217600698,
      0.00192652075693044,
      0.000140322107603647,
      0.00160637408892347,
      0.0000269266232557376,
      2.57632008119283e-9,
      1.13286005703038e-7,
      1.68647171087011e-7,
      0.000831592982635214,
      0.000011437912454672,
      6.26016695497239e-9,
      6.46477609357247e-7,
      1.52993428888961e-8,
      0.000364301930847131,
      0.0000122434553255,
      8.66632314271138e-9,
      0.00000126711345597333,
      7.87462105524561e-8,
      0.00149819900066179,
      0.0000108099418055538,
      0.00000105231822061594,
      0.00000163717215816818,
      3.62652482043462e-8,
      0.00100781526508814,
      0.00000223552874244871,
      0.000846871823765014,
      0.000324439771213531,
      0.0000405687713377989,
      0.000396687796262764,
      0.00000745490454552484,
      0.00176712176889535,
      0.0000342786042064928,
      0.0000219359919276819,
      0.00140722067354831,
      0.00000965478906042381,
      0.00110387189865424,
      0.00000874776393675416,
      0.00000391966177008403,
      0.000908866446708215,
      3.91930271714276e-7,
      0.000939844945569812,
      3.29175138827972e-7,
      1.9481060670806e-7,
      0.00128268106613752,
      0.00000137912247875716,
      1.21255695633091e-7,
      4.23771819810877e-8,
      0.0000354100305827639,
      0.000389045131344399,
      0.00000234948649414599,
      7.61290205729956e-7,
      2.56212407106543e-8,
      0.000198638873607395,
      0.000231693459718687,
      0.00000444244879396527,
      0.00000114150297390159,
      1.33696727880006e-7,
      0.00153048244971168,
      0.0000305461383017923,
      0.0000941636902174543,
      0.00000202496688804826,
      2.97181136161467e-8,
      0.00119846651476732,
      0.00000325312351415963,
      1.96030303992781e-8,
      4.55350841497368e-7,
      2.00789813291351e-8,
      0.000457433866518649,
      0.0000196796066040898,
      1.70470001478324e-8,
      3.89222408060291e-7,
      8.20251308403181e-8,
      0.000508317715200304,
      0.0000392471943998866,
      7.57636724139514e-8,
      0.00000652078619687879,
      0.0000795966605006799,
      0.00000996475654829005,
      3.6847271068101e-8,
      0.000458623547360501,
      0.00221024914697587,
      0.00137551413518241,
      0.00162964603233774,
      0.0000918092159179177,
      0.00128070437475846,
      0.00101921378539587,
      0.000037056013125059,
      0.000630245346238681,
      0.00000184847152801809,
      0.0020120289348176,
      0.000099935841265075,
      0.0000016122219216528,
      0.00202722937866363,
      0.00000288863442741392,
      0.00182199113190403,
      0.0000024282627555771,
      0.000149653095146499,
      0.00265152987474112,
      0.00000105510518320064,
      0.00270013556708348,
      0.000172081298009131,
      0.000605357785205684,
      0.00182999649815046,
      0.00000168262202994579,
      0.00156883819985091,
      0.00000118651308057326,
      0.000123693797952788,
      0.00110066713575189,
      0.00000122343170553679,
      0.0022427553784731,
      4.46967287519244e-7,
      0.00090847518855778,
      0.000883371133104385,
      6.10945487389734e-7,
      0.00182827511821755,
      1.87563803401942e-7,
      3.51490894110225e-7,
      4.2978917757723e-10,
      1.07989781894763e-9,
      1.0000164691417e-10,
      1.68881300985e-9,
      0.228114566978507,
      0.997639058926652
    ],
    "spectral_contrast_curves": [
      35.282456758288,
      33.3991917772984,
      32.1053087238037,
      27.3578510831683,
      33.4496695128979,
      34.3167033126952,
      39.0441066675363,
      27.2737395608701,
      25.38230196808,
      30.0026547311154,
      26.2532797000733,
      26.9379503290409,
      26.7191036989411,
      27.0360903665587,
      27.3863141686031,
      26.951875251222,
      24.8517273651493,
      25.1107369078216,
      26.6895824473461,
      21.9809839397154,
      28.7466420674725,
      27.6923838570171,
      35.4105470036126,
      33.9687388508529,
      34.9857466651265,
      32.7486554146133,
      34.7258135009621,
      24.8139075100035,
      24.5378917336082,
      24.4329264401627,
      28.2170997433433,
      24.0459889503242,
      27.6264766807447,
      26.4668864792157,
      29.7927970306893,
      28.3081496555886,
      22.2722966918289,
      26.6153068151606,
      27.6713173804236,
      27.7427548253214,
      28.9451069653347,
      25.1317391462015,
      29.0164009233669,
      28.9228365965843,
      31.5828916758083,
      31.7458019161341,
      43.0755581580669,
      33.3637833629045,
      36.8465738002028,
      43.1015478393889,
      42.3611824099027,
      50.8508295001624,
      45.6517726088673,
      41.7852922640899,
      42.3264200891101,
      45.755886481623,
      49.9204560621394,
      42.6435884270891,
      32.3857191951665,
      45.7811187818493,
      42.0764390281184,
      31.8963755598758,
      39.0811171070186,
      31.7197873694648,
      36.0828623095961,
      35.0113447783309,
      39.6282928509527,
      40.9136905350975,
      36.7014159581474,
      38.6359460066455,
      42.9574109428542,
      47.0757242388808,
      45.6303088057787,
      39.9277350478296,
      49.9103782046825,
      45.8081331310665,
      42.0741020592085,
      45.9286362996771,
      42.241925840122,
      48.2546071604731,
      50.8863682316097,
      54.7326532290575,
      53.1875567983427,
      56.328622724157,
      54.6366565697753,
      50.0663330794521,
      52.2651951616871,
      51.0608520158414,
      59.0399478749094,
      55.4756995294475,
      51.4792831182693,
      52.2157501165857,
      53.7974378079462,
      50.9072980637989,
      47.406050349983,
      46.9446536593598,
      54.8442205044962,
      56.4595468283672,
      48.7854745943821,
      44.7908086771461,
      55.1871556495046,
      56.9359986325761,
      63.3813053063927,
      55.3936809007788,
      53.151405347307,
      52.4847725671398,
      53.4610863070872,
      56.8222287140514,
      53.0041791850877,
      55.0890826950488,
      53.7832891272255,
      53.5475516434816,
      54.2323621391346,
      51.5342581081468,
      51.25045061947,
      48.7394743750571,
      47.2452973296965,
      43.4059463699376,
      45.4177273868686,
      49.5125433993834,
      60.0388629417486,
      58.3978169831218,
      57.5078603637656,
      54.7322740867214,
      52.0643549582961,
      50.7236303458841,
      53.3192336829026,
      54.2977090862635,
      49.7692569129666,
      52.2764112808114,
      52.9859916349904,
      50.3868141217803,
      51.9136001715372,
      46.2007505969694,
      48.1206804791629,
      52.2870230058331,
      53.7262982327678,
      56.2234432284147,
      50.3222916714759,
      37.1168305201153,
      28.0384248569212,
      28.0378634543145,
      25.8694084441621,
      26.2000172180695,
      38.5664252815905,
      39.6600099621035,
      44.0201024188285,
      33.5497826805198,
      45.6115361211529,
      48.5049990620839,
      45.1510133028019,
      45.3252661997535,
      33.9159418589589,
      47.6313484986723,
      49.1581552720724,
      50.7726821479535,
      49.7066803643756,
      41.337213506243,
      47.9324661102726,
      58.0188799076559,
      62.1455820230416,
      55.168645273072,
      57.7179175890557,
      46.463208265305,
      50.9545196883651,
      50.3322063191118,
      52.5352058343581,
      51.957627382213,
      50.0201883518415,
      54.0171265354104,
      50.7025683710338,
      50.1740419466065,
      50.2034971449017,
      43.9707493939408,
      48.1968564849655,
      56.7005414176104,
      55.493384977338,
      49.4494575528357,
      44.8179931769405,
      55.3712343251321,
      58.9093681804564,
      55.4438542013118,
      52.1322345186912,
      50.5662115396632,
      54.134685349249,
      54.5087081393277,
      51.531831425626,
      50.9203703282991,
      50.1491181709595,
      50.3378447366858,
      50.3347020953543,
      51.3387580778141,
      45.2690704331657,
      50.3630245513401,
      49.2509943113796,
      49.4874038615067,
      40.9480670700579,
      47.4001957919832,
      32.633211112449,
      27.9320568794918,
      28.4308018915583,
      27.4735066020962,
      31.285878400319,
      39.0447612139105,
      34.1313317121546,
      34.3232270728556,
      35.5426305810851,
      43.5834283287147,
      47.404018315912,
      48.0379682146444,
      42.6936092744803,
      35.9591811161076,
      48.7137015388737,
      49.9940973665777,
      45.1888311612605,
      38.8258305473176,
      35.0729137774108,
      51.5010104257726,
      33.3738320523344,
      32.375622968191,
      37.3660625794462,
      29.3815474020203,
      39.0909587799752,
      41.9509290186456,
      38.7971131769751,
      41.2725047709459,
      31.8628704249357,
      40.6364935650204,
      45.2870163005507,
      44.2008920571698,
      42.2974122679014,
      41.5783318826556,
      47.4441213751704,
      47.4666501209163,
      40.9233940344631,
      47.1877945096813,
      40.7204104293904,
      46.3914328456794,
      57.9345200439486,
      60.7207369353514,
      56.787319732821,
      54.2808282808373,
      53.3255648392888,
      52.5053806871891,
      53.5131599103022,
      57.0658330516974,
      51.198360009206,
      50.9021924985939,
      59.6054281825526,
      54.4369282329729,
      53.0983986850985,
      46.1794001157786,
      45.3946206233694,
      52.1924508830676,
      52.1124059418069,
      59.2180329512454,
      48.6822753791732,
      51.3284800062895,
      57.783997065197,
      57.4894255813206,
      57.7489483417164,
      52.9688091769771,
      51.9598542693781,
      53.3332011876109,
      54.3825682517168,
      58.7042855774349,
      49.9726681551916,
      48.9270343532816,
      51.665063422502,
      55.4535695657843,
      49.9167785927306,
      50.7037639265424,
      54.1182689336123,
      52.6815268261717,
      46.267394142958,
      41.9342651125742,
      34.7363591673019,
      55.3062550727847,
      58.2206518095295,
      55.254818125884,
      55.6535893809557,
      55.6462024729123,
      49.4830348412466,
      54.216557722837,
      58.0286571094453,
      51.7200704583046,
      51.1044424457829,
      49.6460491568997,
      50.5735732535739,
      55.5655208064493,
      49.4471698865244,
      45.3007630100392,
      47.409380660746,
      52.2207260765381,
      53.1680719927334,
      45.7242591333149,
      44.0154782144783,
      33.2927835116632,
      26.6405428255792,
      26.2485141169153,
      23.5724003673542,
      30.6328077444189,
      41.989274445536,
      39.3342374608867,
      39.479778170664,
      39.6029005324716,
      43.6859843630953,
      50.0348047067355,
      46.4279925591157,
      43.8806200351683,
      43.9426515695269,
      46.4913149182671,
      50.2581219186503,
      50.0399892958664,
      45.9817113879884,
      49.350647465727,
      50.1195978876182,
      58.6373177137162,
      59.0141203899845,
      55.7337743408932,
      52.1776385974824,
      45.946891945625,
      52.5370777105712,
      48.3580728321493,
      53.1334979855201,
      50.4468523419935,
      48.084753022286,
      53.7541904934232,
      49.7710387309394,
      50.9049575334444,
      44.8500847108564,
      48.4900328601968,
      51.002501127388,
      54.1043395397481,
      56.8303570952077,
      47.148906483527,
      55.9801005935421,
      59.1182466903547,
      54.7126974616567,
      57.3202084151084,
      49.2767982044278,
      52.2196446732978,
      55.8981037719141,
      48.3587905381486,
      52.463026958655,
      51.8346296993321,
      52.4976483640313,
      49.6311969613608,
      48.8137439454505,
      50.5613648016174,
      55.6618439355162,
      52.2758826320312,
      51.5310260792717,
      43.6811190469552,
      43.8955333340842,
      48.3224533670614,
      60.8951586050265,
      56.6628126050233,
      55.5507177411218,
      52.5887468794557,
      45.8772512426112,
      49.3562592891981,
      51.784866946858,
      55.0899910904778,
      51.0487163600535,
      46.0418255707689,
      52.3350019583305,
      52.7871422554926,
      47.6679995335916,
      45.7972165342487,
      43.9137902928529,
      41.9734414716507,
      52.4329321584257,
      51.9198315171064,
      53.5492810597841,
      41.6027770309889,
      26.4840298503783,
      40.9574948563502,
      33.7045144993857,
      34.1637084593381,
      35.9984733444868,
      41.8539201751488,
      42.3435865125459,
      36.451722498744,
      38.1854670454675,
      41.9925920551106,
      43.4174574545509,
      45.1583579282721,
      41.2784643861145,
      46.5094319914951,
      47.3451039375554,
      40.7526033164728,
      49.604552922929,
      43.0022410107551,
      33.7772740315252,
      50.153207691143,
      57.2320766130393,
      59.4818318462568,
      54.1079388533926,
      53.1833322096385,
      47.313473505737,
      53.3995507568839,
      54.8607662418588,
      54.6311830904808,
      49.7538948683617,
      51.5399819179715,
      49.8665638962154,
      49.2855677467556,
      52.5353194768147,
      47.8139081961033,
      46.6045546475155,
      50.1219335891511,
      56.3697023800956,
      51.4513820125986,
      42.8913873592588,
      51.5480756216262,
      54.1115610334583,
      58.7177092692417,
      52.443980356431,
      50.6512729365871,
      52.2695723341177,
      53.8667570042978,
      58.8421164579578,
      50.2394895143563,
      49.623905181995,
      47.837493516723,
      52.2628052818469,
      47.1028795231599,
      47.3897669174587,
      48.3942796901485,
      49.0442229916359,
      48.5246168982631,
      39.2925107908392,
      45.4553255060949,
      36.5604337474058,
      21.0499397458374,
      31.6736482048616,
      39.7050652833778,
      37.5078770156675,
      40.2573322387951,
      44.3573426048954,
      37.6102317355237,
      48.1895112871228,
      43.0028201027885,
      45.9112555845758,
      45.5305294361861,
      45.7093712746026,
      41.466933464599,
      46.1170415391265,
      48.2653776533942,
      49.7236188473681,
      41.0827268923885,
      23.3618036194504,
      44.23620617015,
      37.0387858474159,
      24.2530931738628,
      32.2879868237453,
      42.9164120123089,
      39.1614507551963,
      39.1271686115222,
      34.4310316814791,
      43.0453548058444,
      43.9960595783056,
      43.1390699621816,
      51.1522204182479,
      48.3581678878239,
      47.1871067558093,
      42.0139466034366,
      56.9027882922195,
      56.4428121951948,
      60.3139719166982,
      56.4977185509223,
      41.8233414178593,
      32.3354817339644,
      38.9976331633035,
      37.0934978223316,
      45.1429201058617,
      42.1893813221468,
      38.4344927288385,
      36.4055708145362,
      29.6608981617971,
      44.3081207634329,
      52.7303640925042,
      39.7854906736771,
      56.1466270491542,
      58.9145109094518,
      56.1693668511769,
      63.4812098962863,
      50.1477961280629,
      64.1180830887322,
      61.4758381596824,
      52.2966607474223,
      57.9212752303725,
      65.416331035569,
      59.1654334461155,
      55.3291680244723,
      48.7938837342026,
      43.0598653907634,
      41.4412659496171,
      39.8066343752004,
      36.4520115905146,
      52.6935487546676,
      52.0434052559276,
      43.6601661196918,
      57.0275498384084,
      61.4155734044772,
      54.9835159081098,
      60.0092665224292,
      56.5919627465983,
      54.755372295163,
      60.9938817819304,
      56.834703789829,
      58.9806495167191,
      59.8613082479922,
      59.420189125122,
      55.2571593638256,
      53.2823443659189,
      59.6554245125572,
      46.1668148647923,
      38.4891789330009,
      33.8846871114273,
      36.4862845064143,
      37.4301757855355,
      38.2356672469074,
      35.0933158243455,
      35.0828748714595,
      38.0853111251619,
      35.8729430519415,
      33.5141729209291,
      34.7022541946155,
      42.8308684966662,
      46.3288673914562,
      48.5787783486412,
      39.351960077562,
      37.4591916372554,
      45.8241697789926,
      38.0972634524764,
      45.8012598717632,
      38.3914554264558,
      32.2460401095234,
      29.4759974398372,
      32.1803428634795,
      30.2889465195697,
      29.5354726914125,
      31.0060942618295,
      35.8819883646868,
      32.2737711002124,
      39.550997212144,
      34.7510577502844,
      34.7986552804524,
      40.2101207082384,
      37.2358204126505,
      39.6149506425993,
      32.9191738602965,
      36.4667269792275,
      33.5219504748519,
      34.3873319237299,
      38.420018192216,
      45.5025540540727,
      32.9045598465593,
      29.7446729750615,
      28.0217617967434,
      40.0027800900942,
      36.6270811656807,
      29.1649900670025,
      26.6824400957245,
      29.9160925133076,
      37.5306445258017,
      39.4600852254485,
      29.8649945315231,
      27.3565321916716,
      30.3031673238513,
      35.1692322059789,
      42.1416696816911,
      35.1293128876583,
      31.9778040804682,
      36.2284549930755,
      41.9058258819681,
      42.6670064625645,
      30.324761719378,
      29.5706166903706,
      29.7513259723986,
      39.7492835619294,
      37.5705833259039,
      30.7776238955895,
      32.6810573994176,
      38.7119640663993,
      36.7041758576495,
      37.6631518529444,
      32.8088988682115,
      31.3246285973726,
      39.9785233908017,
      39.5228090443122,
      34.2823835208524,
      34.998605473746,
      32.6165034635391,
      32.790903798023,
      39.3619418480128,
      35.7571270277075,
      31.3624503785239,
      34.5971455726567,
      35.1573305457414,
      30.5007855883005,
      32.7766995587829,
      31.7423967805439,
      34.2403548935627,
      34.8456479276132,
      36.6723232338194,
      29.2232744875631,
      33.2798950010999,
      32.2563355522949,
      32.6200123576456,
      34.6709167146898,
      37.1402943098432,
      41.5480859173333,
      53.3022645389382,
      40.3510068801657,
      45.2942813482851,
      34.443542591356,
      39.2368302600306,
      45.8203151522132,
      42.5251682148323,
      35.5193652553639,
      36.0406323574397,
      38.5561550694178,
      39.7565897485599,
      40.6455377056932,
      35.6118183154849,
      37.1171304278676,
      31.8143665203618,
      32.7256405713838,
      28.8807953582673,
      35.5366819571463,
      35.9175376685622,
      34.3389674829413,
      33.1610358110521,
      34.4234030895707,
      36.8710483978298,
      28.8089303056631,
      31.2600482504809,
      30.9462425001277,
      29.8764980505267,
      34.6956012247964,
      31.3892242188221,
      31.9604427691218,
      34.0150048327634,
      34.3946160160281,
      37.2874926806597,
      32.3488077850082,
      30.5449322958197,
      41.1705089475589,
      41.5945229338149,
      35.4639928107451,
      34.7670237422359,
      31.903663722974,
      32.9927319263893,
      38.813486014756,
      32.4994258358246,
      30.6914214709719,
      31.8939720432643,
      28.0495950695497,
      32.9335868937011,
      31.3223443704202,
      31.8265604403109,
      36.3211649645339,
      40.2703630433709,
      34.8482717867066,
      32.3728549907151,
      34.6159548924798,
      34.0343512966532,
      43.8260436198519,
      35.9668982042231,
      45.5430322637323,
      53.85213249197,
      58.8438367665737,
      55.1609252703988,
      39.2566660117484,
      32.0353803100407,
      36.7913327588979,
      43.0590879348428,
      40.3711415152616,
      34.4392743306284,
      35.4227260817694,
      35.5046721376471,
      37.7592061579009,
      35.2140599218261,
      35.3801537327526,
      36.6342948856013,
      43.4156508003976,
      50.0477821149064,
      39.6589719034691,
      40.5497348922693,
      42.2387061649241,
      42.6833240585335,
      38.2306067417997,
      47.4637274354776,
      36.7945651107644,
      28.6529645382481,
      34.2118220595855,
      30.1021367628729,
      31.2783846508007,
      29.4343092736725,
      34.1793334345779,
      32.5464173560298,
      36.0479280601831,
      36.1515345155222,
      38.5829582985111,
      37.6518758265056,
      40.9181602211982,
      32.8251748761006,
      37.0798614048262,
      38.7538019260211,
      33.0117771997584,
      32.0930307292168,
      33.3149309299461,
      37.4662744871303,
      43.2436806611649,
      31.012412545335,
      28.6680985334376,
      30.3227174629675,
      38.8006997150418,
      35.9844672229502,
      28.495739857366,
      30.2492869697154,
      32.0884098671392,
      35.5617904054907,
      26.5190727539297,
      29.3967909075782,
      27.5672270082488,
      40.0818314432372,
      38.0181113745903,
      37.1222084616788,
      33.1570322343682,
      34.8051743230717,
      40.5655634220859,
      41.5676139887094,
      35.1271233429971,
      29.2416095647842,
      28.8350169707708,
      43.0368439043168,
      37.6478385386004,
      34.8478358234042,
      30.6823988793326,
      33.3669559315149,
      39.4367545961966,
      39.1476472381986,
      34.1421989181562,
      33.7194094357009,
      30.5696066431539,
      37.0633367774661,
      25.4856821614438,
      35.1346755355968,
      30.3344412505019,
      32.2028246308504,
      38.2688887569912,
      45.7791222066029,
      29.6568232770937,
      31.5132217740337,
      34.2853750030134,
      32.6960083734778,
      33.3421060196725,
      30.4342607851716,
      29.8820743746589,
      33.1007372770862,
      31.4158218317941,
      36.7693630963202,
      34.9351402913747,
      30.4885918700295,
      41.1794187770002,
      36.1979122224221,
      36.4285674186943,
      38.4476713397614,
      48.1741848160833,
      46.2924138019918,
      40.5193650786193,
      43.3968470214527,
      32.6097483816581,
      44.9949862214111,
      41.9793795656047,
      35.3864367283531,
      37.2977068746724,
      36.2256568812247,
      39.773609666719,
      44.7726862099023,
      38.0577166904104,
      37.0185134788132,
      31.3315741664355,
      29.0243558984024,
      31.6176718167407,
      33.4631180634537,
      34.0884197828678,
      36.2291352617704,
      36.1180971565458,
      33.9331848194914,
      36.3017337389629,
      31.3352708091591,
      33.2394536897417,
      33.6910603832179,
      31.4031474794675,
      33.8293959357388,
      31.7345783800226,
      33.8770031756043,
      34.7755353499428,
      32.0336008980718,
      34.6783918712469,
      33.886372224934,
      34.6468043765357,
      32.8264035396121,
      43.7255370144344,
      38.4112893928523,
      35.3494606928708,
      31.7860989266297,
      32.0877315779647,
      37.8606137559614,
      36.3847579713722,
      27.5545115454639,
      31.5755923581797,
      32.7092933925378,
      30.2507771338622,
      36.7008076504889,
      31.492595085409,
      32.5764481444768,
      36.2832012407943,
      39.7298598697647,
      37.9387710033161,
      33.1533564997143,
      34.8089588602363,
      39.7116527749082,
      41.8927430985549,
      38.3977029063944,
      34.4973882176092,
      30.5723433174126,
      31.881895458996,
      37.1435345035678,
      33.2886275093682,
      30.7963313456091,
      30.0485706961557,
      31.2202452543191,
      35.36991987895,
      31.4384908619764,
      35.0100400913587,
      30.2366450266234,
      29.2349106244859,
      36.5897734999004,
      40.884072304432,
      41.5816723739718,
      38.1328511729744,
      38.5393682228269,
      44.1585047499354,
      45.4301430106869,
      46.4590233471125,
      38.3825842907497,
      43.8337073267631,
      41.1002616567859,
      32.1713525625767,
      31.0196973003587,
      32.7013271028722,
      30.7731777591517,
      30.7677295297613,
      32.4677666488124,
      37.2960429051408,
      33.2181147506258,
      38.0044914067641,
      38.695138321097,
      36.7687695963264,
      41.6966071048791,
      40.4492982429552,
      41.3391569609867,
      50.5932738942151,
      41.1057623381195,
      32.4705201433733,
      35.3939498719829,
      31.6056030833078,
      42.1564230346096,
      31.6321507356382,
      28.5179520600109,
      29.5637816248411,
      32.473353594568,
      34.7917972825497,
      31.8926429505433,
      30.5813930876009,
      32.4161208485971,
      37.0908194361322,
      34.9554458080702,
      33.3032290250579,
      32.4158791680664,
      34.6230148027198,
      39.9787664408856,
      38.5770812572356,
      32.5132258641284,
      29.6384414643922,
      36.5303904182192,
      34.9957581375031,
      41.200259640614,
      31.0102563079806,
      29.2399608223265,
      35.7642530105854,
      28.9018053492698,
      35.6766226546406,
      30.4307138906485,
      33.4943962210615,
      38.5557128256372,
      37.6852834197059,
      35.4071771914484,
      42.8903698590913,
      39.0569965062582,
      39.601239679676,
      39.0040514045151,
      36.5721984841939,
      50.3250857539067,
      38.3958006682085,
      45.4678507437106,
      39.4148906228006,
      36.5326974785515,
      33.0501368916696,
      39.3881051617829,
      33.2427195685483,
      35.9832756535261,
      28.7105319873995,
      30.4643913379616,
      36.5177077558745,
      34.0981041145579,
      35.4491681093531,
      40.1629915747284,
      36.681984250428,
      43.0157586782148,
      43.4795778326041,
      37.3628674006151,
      39.7978949450884,
      47.9290374843497,
      39.5103979284228,
      40.7264326336024,
      40.5462492473936,
      34.5611588091051,
      34.5777024134388,
      36.097719738209,
      36.2700760707653,
      33.072698272705,
      28.7316901599506,
      33.5606937630949,
      38.8012290418152,
      39.0947596762529,
      42.0876762869939,
      41.3554183897377,
      44.274775261969,
      45.0208572410776,
      42.0608344800961,
      32.3354817339644,
      39.121542479921,
      45.1772385811059,
      49.4834244319341,
      48.6077257782812,
      42.585485058799,
      44.4409505520437,
      36.0736324590674,
      37.2894227249892,
      43.083992378472,
      31.0373200487027,
      43.0663722783904,
      45.198143761997,
      43.3693858047827,
      58.4065031478487,
      39.7533238535719,
      49.0828851146885,
      52.8697988107392,
      49.4947998474772,
      52.4573391618257,
      41.5046432772447,
      51.7215358261289,
      54.5850689331833,
      50.2853314323822,
      43.3043134830134,
      47.3982533387408,
      42.1656581660323,
      41.4529679291688,
      44.3932089530607,
      41.9257790569055,
      41.565100189721,
      41.0669094663261,
      50.2277565115801,
      50.2082176191111,
      57.3597943681946,
      42.9452063291129,
      46.7199338875115,
      46.936664328415,
      53.4824607594465,
      45.2275267466169,
      47.7206580809477,
      48.0827269032165,
      49.3872374720556,
      42.3571003777175,
      47.1155940306761,
      37.6180295059867,
      49.5041190022479,
      42.5550446844894,
      37.446040500046,
      40.204004383137,
      35.8228920855527,
      41.1826281013429,
      46.8422900937754,
      39.6612479197651,
      42.3626236487764,
      38.5826011240599,
      45.0233136303287,
      46.0664054132873,
      41.8088161080978,
      38.1219285864796,
      39.1931923247562,
      41.7844253577174,
      43.9231529004014,
      40.6489107271795,
      46.7117845714946,
      44.212276497511,
      41.1195193159068,
      41.7031441556127,
      40.0722630092886,
      39.9598444194591,
      36.9071254898527,
      44.0205235206502,
      45.6080733326793,
      47.987349564045,
      47.5505560690735,
      40.0311306321328,
      43.1100153790159,
      41.13729135845,
      43.7161628528669,
      46.8596485345176,
      40.1193590951239,
      47.1880091461618,
      37.0684775546873,
      40.7154275850568,
      44.9962726744948,
      47.7839712382192,
      42.9006100094564,
      40.7984109337931,
      37.3250531200979,
      44.0774759807648,
      43.4419226712236,
      35.8598535925673,
      37.0680279050172,
      39.4005275525079,
      42.4184428939316,
      41.3537594268382,
      44.1450335876533,
      33.824444083382,
      37.7278627174023,
      40.4489525436168,
      48.2746573942258,
      51.6384010505821,
      37.208126125753,
      45.8027359069627,
      42.3713972616147,
      49.3823803791758,
      39.712806766064,
      33.4338255006056,
      48.2399762343012,
      43.8357907658261,
      45.7355014231672,
      41.1455127123703,
      34.6813832678854,
      42.4755892242208,
      41.9051234022226,
      42.3562937132197,
      38.4677087134536,
      32.7708982146495,
      42.2193368315859,
      39.8011160833383,
      38.7778789804849,
      39.1335079128195,
      35.2961070196159,
      53.6275047004787,
      40.4713590920205,
      40.0559111875788,
      39.6744207951723,
      46.1088378631385,
      41.3399350393257,
      35.2323434330355,
      38.6967879681714,
      36.202008446162,
      39.6200043413747,
      40.2243500442398,
      36.6021834253755,
      38.7922492993049,
      40.9578332367422,
      42.1230079222899,
      46.1553542963097,
      36.2313472296327,
      41.0476818762101,
      44.5510147781521,
      45.4735494502948,
      44.003965747926,
      39.2282923788499,
      41.4984544532476,
      41.3512002976179,
      42.1093884981116,
      42.0373553919253,
      41.5240046777215,
      39.6743933656557,
      42.9535790313381,
      44.5316139131875,
      44.3334140226056,
      45.4569786578121,
      47.1293125980067,
      38.1866345533939,
      41.1639062776398,
      42.4288634321283,
      41.2797463813189,
      39.0547522697409,
      42.4604058874067,
      41.6617918438482,
      36.5235390219329,
      39.6694547263498,
      35.2545797892039,
      32.783499488806,
      37.9609557645352,
      32.8294177049916,
      40.9055532495147,
      39.1009625294881,
      39.9670659398326,
      49.1550169643023,
      36.1765999585359,
      39.1072112797133,
      40.3110646071565,
      38.7737924504432,
      46.4647687008117,
      38.229108141079,
      45.8909603649243,
      46.7648108418138,
      34.1472194818939,
      42.8665959680035,
      38.8784751836109,
      43.3127488094514,
      34.7916588110297,
      40.4957535791157,
      37.3103100981424,
      36.5422083872867,
      40.5821086648357,
      38.7023916792152,
      45.0547462165056,
      50.2499348349537,
      37.3634111309645,
      43.221492039337,
      40.836485529293,
      43.8681576238477,
      47.6396019648114,
      36.6661166815289,
      42.6990614700341,
      40.8574404004183,
      47.5655930140865,
      43.67146821586,
      44.0647916143096,
      43.6983198946202,
      37.6019941677548,
      42.3138123622675,
      37.6672252656831,
      37.7110565022779,
      39.4547616222743,
      40.4138919166108,
      42.7372831578637,
      43.624405493336,
      42.4777302670525,
      42.2282453838521,
      39.8717250479108,
      44.2872310751699,
      36.9448786766329,
      42.9894464423864,
      43.9346677072806,
      41.0136027898084,
      43.9686319717755,
      42.9306966328627,
      47.8995367658489,
      40.727254596023,
      36.5872989519599,
      36.6361753406527,
      40.7084325308588,
      43.1716780037754,
      48.2115876568359,
      44.4779622551198,
      49.0895428417269,
      42.7980758757118,
      41.5461564432412,
      43.7034829846912,
      39.6218197723142,
      48.4046603860346,
      40.317863464776,
      43.3155992697461,
      49.2568287203599,
      36.2198021705666,
      48.8559676524363,
      43.2294398105311,
      49.4290942517677,
      44.2773363156,
      35.0014861400055,
      51.2010352498872,
      43.9913485274714,
      48.4408584863996,
      35.3976526010548,
      40.6127933992207,
      39.7479237694965,
      42.1087492237604,
      36.1795066166118,
      36.610831191964,
      36.0224706973043,
      39.6531303999202,
      43.4681133295043,
      47.2017873247921,
      40.0134537737168,
      41.1213066572436,
      45.7085766769426,
      48.8177166936471,
      52.4693926004869,
      37.4212671586074,
      39.5297310771328,
      50.3451366140388,
      38.6084844459513,
      40.2667058799355,
      33.3712881219129,
      38.404002074132,
      42.6701393237734,
      45.1480571529858,
      36.1691955673712,
      36.7973207412899,
      37.4950056979921,
      46.4278516101852,
      43.1127969879822,
      49.0861354153094,
      36.3209671881345,
      41.1924711408102,
      43.7851037515375,
      50.5565459925925,
      40.1025915884033,
      38.864503223287,
      41.0793626926676,
      48.3446550808319,
      38.1296761816003,
      39.1004630761064,
      36.8543060925346,
      44.1464971542687,
      40.1812765999583,
      36.5282261349589,
      44.7650732571195,
      43.5696078880659,
      47.2724715091585,
      42.7381389101043,
      38.2501523047409,
      42.9124459274265,
      45.5333070148864,
      42.4428007246117,
      39.7105369610927,
      44.3250140363669,
      39.5961250273364,
      44.4582721142082,
      40.2461729013154,
      37.035069055986,
      45.5679198149854,
      40.6001448338488,
      44.5628499627105,
      46.1244352979821,
      43.0629562195259,
      47.2148649109848,
      39.4382151411177,
      39.8791953445286,
      43.7599971663308,
      35.8164694266845,
      41.2599306575952,
      38.6839122022866,
      45.3662233545049,
      41.3103386240194,
      36.4339080852018,
      38.9026228305999,
      33.7446424444014,
      40.6830613908172,
      32.4359163475498,
      39.399831502945,
      40.4790051093422,
      34.6597646254167,
      51.6539977008741,
      38.7834379403846,
      37.1343311278622,
      45.1592464540666,
      41.329816670404,
      45.7939952121385,
      40.8946428405073,
      41.9455467854495,
      44.1376195912177,
      40.4449888618783,
      39.3524785016672,
      43.7353705653091,
      41.7280368107894,
      39.0874962812632,
      32.3088894417357,
      38.2102178320329,
      35.665451020807,
      40.1531305147421,
      37.3490817797288,
      39.4084887937759,
      55.1322713037367,
      36.4862658156048,
      45.8914684632787,
      41.868751569811,
      42.701283066691,
      46.1726692403006,
      40.6892639654526,
      37.5273544087642,
      41.2859467130026,
      38.3798116768497,
      41.5865519146831,
      43.3090968277475,
      43.4090759592525,
      45.4291452853639,
      37.8782894106065,
      37.8631797367344,
      40.5370554137785,
      44.7070155208099,
      51.8470055737006,
      41.2156933552723,
      45.4018792522284,
      38.6828330301701,
      43.1276046406563,
      42.6628929990664,
      40.38108065346,
      38.2090233623669,
      42.0450224491912,
      44.9548503957109,
      44.4184431671942,
      41.9288076993925,
      44.8565252895555,
      45.292298859685,
      43.8577055803204,
      45.7227488431784,
      39.9471965695997,
      40.7018181338011,
      37.9515531596741,
      46.3535478265593,
      47.1557782113802,
      49.0798904346412,
      48.9975167181672,
      40.5152963082014,
      45.59168623353,
      42.7936870380842,
      47.5980317932453,
      48.3400468320793,
      42.9596459955446,
      44.8591733841906,
      37.5598470155949,
      41.4343502787097,
      43.5169180561378,
      46.6318409537783,
      41.4759315865262,
      36.5725910673139,
      42.6618393916451,
      38.6838350403983,
      40.6588338826658,
      42.6502521139417,
      32.5383834723339,
      42.2412833185829,
      39.5216372945993,
      45.1636521824962,
      41.8492680320307,
      33.6817971352515,
      50.0632557456496,
      40.5423172195998,
      40.814973431876,
      41.9066167876181,
      36.374659544039,
      36.5781816146361,
      35.8697886370667,
      49.13961771157,
      42.3040704039614,
      35.9451898952445,
      42.8237759822762,
      36.7245435887988,
      41.7241942795568,
      38.4604457796835,
      33.5494272822671,
      43.2476520980047,
      39.1447345802983,
      46.4588506215573,
      43.2591530390181,
      41.141637316234,
      50.7017234147687,
      41.8225855519219,
      39.9792150977486,
      48.6479789086651,
      43.7739500173202,
      47.2382766836588,
      40.8060823969025,
      45.3272226483208,
      50.3454406328935,
      43.3338234902199,
      49.4376902111948,
      41.9202449586567,
      40.6848150332263,
      40.4924141269529,
      45.9835034594532,
      42.855154736151,
      38.8920945594799,
      44.210581262572,
      36.8807735722308,
      40.3059106717506,
      52.2521410888011,
      40.1778921558271,
      46.9951828287221,
      46.0798334409174,
      44.7604357686768,
      45.4405627448384,
      37.2391522769513,
      47.5732428273961,
      42.3745691928974,
      44.0064974305279,
      51.6615352103692,
      34.3522847674743,
      46.9511402712827,
      38.5363223224131,
      45.4766725350291,
      47.2159401056316,
      60.0673051733688,
      53.9348613497184,
      62.2370685138031,
      58.6573325677154,
      40.5098737219888,
      32.3354817339644,
      34.1448309584929,
      37.2340101878926,
      46.2814645214654,
      42.9718941333376,
      38.1889489961939,
      43.4775236877158,
      37.1015574832772,
      36.775594369171,
      40.4640700602952,
      35.9952001924597,
      43.3940071320136,
      41.741350114955,
      41.8627000359896,
      49.0685623513781,
      43.2573792593943,
      53.2466993086482,
      44.6287416994297,
      44.9130225334444,
      45.2592954384885,
      42.7421785711986,
      47.5629319180453,
      42.5550073066786,
      50.5611061048471,
      42.3405900971686,
      42.7006068454089,
      40.3556861699524,
      35.6584543161198,
      44.6384318703226,
      44.9877456768297,
      36.5631159610027,
      39.6120274006664,
      45.8262822791713,
      44.5743716004528,
      46.7906490870576,
      44.848052714273,
      52.2060747552939,
      41.8399902680646,
      43.8899508406703,
      41.624209124113,
      42.8733112781054,
      48.2183780909749,
      47.0397107240817,
      41.7307769557666,
      44.9290857807972,
      36.339774569284,
      45.5814516718397,
      44.3686636849391,
      37.6262731508972,
      39.9167531978514,
      35.0087265100959,
      42.1062423453332,
      41.7070505895619,
      40.0194678253937,
      39.6464619407136,
      34.170036716149,
      45.5784894026657,
      43.3023368704433,
      44.0411720456333,
      40.4203826024526,
      34.7213364933142,
      46.273643023857,
      43.1150610289978,
      42.3504240801207,
      42.4982244709543,
      39.3806093581996,
      40.3296981433097,
      42.9869206370673,
      39.9531768512931,
      41.5014922428541,
      38.4478345828109,
      39.2984224958068,
      44.3192304400288,
      41.1843548775612,
      47.4965974253507,
      38.6256124861003,
      49.9233525061044,
      41.0234810710685,
      49.1814380320846,
      59.2359790613326,
      33.2780531858924,
      44.7289353385712,
      32.551670569696,
      40.6055674537089,
      43.0669407489255,
      35.2200119226913,
      38.9618736950511,
      33.4411077897898,
      32.2042802245786,
      38.1311438976322,
      35.1372548105632,
      33.7842974382034,
      33.5864505657661,
      37.9830846361971,
      40.9706716140345,
      31.9395310440923,
      38.3945147948467,
      33.040721813349,
      38.5391983560959,
      39.335425292809,
      41.2533930620049,
      36.9969952859716,
      36.4275152449287,
      44.1889564047974,
      41.2509326694666,
      33.6217810789802,
      35.4659978309767,
      34.1837642792128,
      45.6455069355096,
      38.2390424924116,
      40.0575448775326,
      40.8285029713633,
      37.3988414375404,
      44.2844632054111,
      34.3762506799818,
      33.9333917760573,
      37.7282195791189,
      33.9672135194438,
      42.8753585301058,
      32.4478663077622,
      36.1960568939436,
      37.6250766903002,
      36.8971109145455,
      49.3926262617497,
      32.4711477986626,
      34.5482459659741,
      39.2773535953544,
      49.6072593087561,
      42.3249602428794,
      38.0037482902825,
      38.6069474117974,
      37.1685333992736,
      41.188479215747,
      41.7544090319201,
      34.7075585316455,
      39.8185013263468,
      39.9004977420046,
      46.2897544188551,
      47.0217894097559,
      33.9530499598512,
      35.9544906431069,
      33.1757367360747,
      42.014582559497,
      40.970042082377,
      34.7672979655027,
      39.6732922971773,
      34.3779910907288,
      42.9201466297352,
      38.4498570053929,
      37.9780873404232,
      39.8996735109415,
      38.18116373113,
      43.4740353724633,
      40.6890435499271,
      37.7368587190235,
      37.9042096255705,
      33.2749454790727,
      39.2992345696272,
      37.9885237315933,
      31.2613611581819,
      36.951987775076,
      38.4141459584386,
      39.1339446276024,
      34.4761911166804,
      42.6079718274913,
      41.5277461765728,
      32.4590809263342,
      39.6034322913944,
      33.8209884080673,
      48.7647744033032,
      45.5342718700017,
      35.4607355471796,
      45.9695887099482,
      36.5702168397331,
      45.6983027450182,
      41.6364033201266,
      37.0801363948298,
      43.6062147436513,
      38.331138606651,
      44.1736544822505,
      43.668375988999,
      38.2800597858783,
      42.3143841836344,
      37.4010840192317,
      41.2241055644783,
      47.4856560390232,
      36.4261169587128,
      37.1691999487326,
      37.6802318974128,
      45.5690391780929,
      42.8612297059033,
      41.1071128496376,
      43.9954964311204,
      40.3893501165413,
      49.5750646137416,
      35.6122644994071,
      45.1380720622937,
      51.6732870596577,
      33.3406209993892,
      42.0870344164895,
      46.875489167487,
      45.3267301456347,
      41.8594295447369,
      41.5136913445729,
      45.4944124142727,
      37.3888804254794,
      44.0908255726416,
      38.5445986089514,
      41.7997774708336,
      42.6980924139409,
      40.5410559110212,
      43.1698632789377,
      35.5039642347411,
      41.0995203163686,
      44.5936956534488,
      40.0687259443166,
      46.0401273584688,
      33.8089119973628,
      50.5425040971222,
      43.8891481638529,
      41.1375854723367,
      43.436618746142,
      41.5287523000541,
      41.7110669408544,
      45.2168773012741,
      38.8779029158464,
      38.2615008563943,
      38.7880280699399,
      40.512079380159,
      45.4115596454754,
      36.7291705095226,
      41.6720593148836,
      43.9455562248375,
      47.8841737596188,
      50.856245488122,
      39.1155799731406,
      57.2411051840594,
      43.8765759471606,
      41.1401245822714,
      42.8265401069245,
      32.5933588041458,
      39.2018923439975,
      37.0397697367769,
      39.9065801059888,
      35.0103011991366,
      34.5839673110832,
      42.697896246952,
      33.9601057682939,
      41.1560528252735,
      32.8508822085203,
      39.8997421307982,
      43.1045944576823,
      34.2337068046503,
      37.7798641294823,
      38.9032482362675,
      39.1378077183444,
      40.1985267382751,
      38.6170823052471,
      46.2386985199218,
      35.1158351866542,
      35.0971361761834,
      40.8502909914855,
      35.766840870821,
      43.9870400721462,
      32.5808885946237,
      39.9340115418476,
      42.6679952005979,
      30.7893527190881,
      34.2458879632408,
      36.1304900233262,
      41.752475704537,
      42.080934558626,
      29.4017363441924,
      39.9801672286682,
      39.5669246906653,
      36.2252288533105,
      39.0581846562487,
      33.8752080203071,
      43.5661501547826,
      35.171681328414,
      48.5650534235062,
      45.8807756835562,
      39.7723839098413,
      36.7536899984078,
      36.900480274336,
      40.3321143023493,
      42.9000882518402,
      42.0641778626539,
      41.1063053662681,
      35.6686371602038,
      39.3366147015882,
      36.7631408113074,
      43.5706288036288,
      43.2100107577619,
      40.6220617460942,
      53.5096286299858,
      39.0978617397452,
      37.2289744354684,
      38.8788015200135,
      36.4673115242415,
      38.057762846737,
      34.301285081378,
      39.246394995032,
      37.5104942959598,
      37.4869697411775,
      39.9232016708487,
      32.7544206718277,
      42.595304328473,
      40.1586645515318,
      39.2370503063905,
      42.5286312974124,
      37.1334490453498,
      42.0560569355658,
      32.6449442999333,
      38.7631610366747,
      42.5712696466449,
      31.0609993744606,
      34.1546847168131,
      38.9767455335819,
      41.888856903736,
      36.4326318941259,
      36.6975585693183,
      41.0689200357156,
      36.8209883168759,
      37.9859497624941,
      35.7206289182973,
      42.9499462926314,
      45.7937058962747,
      36.4488041873408,
      45.3846485751867,
      44.5161370761421,
      39.1914081517389,
      43.648748280784,
      36.0084504621477,
      44.1283218400391,
      42.084578873502,
      42.022793228596,
      42.7966045151861,
      41.7234610133277,
      41.1548564704841,
      40.2202820230971,
      42.6353929016601,
      44.2797238561853,
      36.6292270298454,
      43.0733020163638,
      31.9758139645134,
      46.5202917949224,
      45.9348362322897,
      38.9683246665018,
      45.5721108295378,
      36.9886218166647,
      49.8918462915432,
      42.9136641886828,
      35.3368284363564,
      49.6388029442006,
      42.675918089947,
      37.8368610122579,
      45.0761591665046,
      38.4423845605268,
      41.248245380519,
      40.0375805289244,
      44.4329433162529,
      43.5371962214855,
      37.0555706987911,
      40.9008806269186,
      40.5456250895094,
      42.2712642647482,
      42.6789964434033,
      36.5822013387868,
      38.9698699447594,
      39.280777369343,
      45.9523372461362,
      44.7955193047107,
      42.8312039617633,
      39.8138916137326,
      38.8385406520608,
      50.5337299845331,
      41.634518604892,
      41.8641457473163,
      43.2717491202813,
      41.8090055002324,
      38.4398764468402,
      39.3057168907438,
      39.4956212148531,
      41.1264787109027,
      38.3618743344366,
      37.8342279012557,
      40.651284103294,
      41.9245847567446,
      46.5210096071812,
      41.3945109638486,
      51.7414113956625,
      40.8650082259866,
      45.8152093793272,
      51.6480772565616,
      33.0233259211827,
      48.2883509048219,
      38.994159316078,
      31.477920960843,
      37.1815558352325,
      46.4218518997288,
      45.8515790113435,
      34.4224144126475,
      37.2725313606082,
      34.6451608648823,
      45.3150436577828,
      46.0661778239216,
      32.036253200567,
      36.8917232181229,
      36.9957289034502,
      50.4609141330385,
      52.6264911644945,
      33.7860614848515,
      46.8339765124419,
      44.3522356554159,
      54.2760144673289,
      38.7766602032989,
      31.3589884689954,
      32.3558698241531,
      34.4193379152118,
      42.8904623296522,
      37.6395619649059,
      28.4686661325402,
      41.2337285747565,
      36.9403125812957,
      44.5124291248977,
      38.8546031660705,
      36.1623722818132,
      45.3779940871769,
      35.1709249496214,
      37.5340431874634,
      41.7128375615416,
      31.0910425247298,
      33.6497652358554,
      31.8041175062314,
      33.2145363210023,
      39.1302560554576,
      37.6829721451121,
      34.7162347503584,
      32.1688947149319,
      41.672804121219,
      39.4630039838327,
      44.3618030426898,
      37.1003291423832,
      35.5120491665288,
      40.0215920864381,
      33.8233067523319,
      37.748502644639,
      37.1415425252962,
      31.0182198552844,
      40.536686526793,
      39.2165734852665,
      39.5106269367924,
      41.6184204852753,
      35.6125934225285,
      40.6032816575189,
      36.6755628813372,
      40.0199676575734,
      33.8611410408576,
      35.741991910169,
      42.5947702062424,
      38.1526204995095,
      42.7946715321921,
      34.5408292315057,
      33.759650681524,
      37.7883815377473,
      33.8051041550374,
      45.1388444674855,
      43.4730187205994,
      50.1043490071313,
      49.1069448731749,
      49.6438691173635,
      42.8777095162527,
      32.3993874766002,
      32.3354817339644,
      37.4229688164609,
      37.8079929729578,
      41.732404058627,
      37.3070925738782,
      31.6475223301975,
      38.9906804958325,
      33.0019863221576,
      44.0195839665936,
      50.9170109982205,
      34.3161293373922,
      41.1302616656273,
      40.1262836035971,
      43.1578958355136,
      45.6960022841115,
      41.2407121293437,
      39.0968832352068,
      40.4810274952777,
      45.3969442403452,
      41.6812901575631,
      40.9156131359785,
      43.6936751128659,
      40.809527308351,
      44.7914831716972,
      38.8654832366681,
      35.1233059248532,
      35.6353504467242,
      36.8065354926578,
      48.7840468535938,
      48.8437412671786,
      32.9971602416348,
      42.3602185738984,
      41.6484210234394,
      44.2912416286289,
      42.5890979747611,
      39.0803309159851,
      41.9227397031032,
      39.2176961020481,
      44.1639771960237,
      37.9193565314398,
      38.4537451631456,
      38.6391206760981,
      42.363401848423,
      35.1354221037902,
      37.8497088985786,
      29.5989348399913,
      35.1195436600372,
      37.7421328056886,
      32.8207173451546,
      35.5733209382301,
      29.7618013369333,
      39.9106146664617,
      32.1239533388646,
      34.5241243237793,
      33.7837977347891,
      30.9854838980973,
      40.874148402929,
      37.5332557476788,
      36.8608962708255,
      36.1603059423485,
      32.7411938944942,
      40.8513375340742,
      34.7505020546908,
      37.5867821894458,
      37.7681029923735,
      37.6045824042445,
      38.120932982016,
      37.15347065549,
      44.2181230503339,
      38.1495500421883,
      37.2837526015191,
      34.4699521930785,
      35.0457685254549,
      35.8458058177715,
      43.747324014421,
      37.1076958789125,
      42.0263375034626,
      37.5824087995727,
      45.748082417332,
      46.1683892606374,
      31.8216889990438,
      39.9915097093609,
      34.5420844873428,
      41.4182289822459,
      45.8042654345531,
      34.8799330920627,
      40.1329177703183,
      36.3019902788227,
      35.8083664190424,
      46.1571039094523,
      40.2490592819282,
      36.5885209760559,
      36.3077737638179,
      39.965940813188,
      45.8432766390055,
      32.1122485702919,
      39.1696657022586,
      38.3446169248919,
      38.1316007306057,
      38.4098681518865,
      38.1121587311807,
      40.4142624497985,
      36.5679576444699,
      39.7893280727184,
      41.1852494441044,
      41.1282896216964,
      42.9715802140911,
      33.0062391825931,
      41.370937948413,
      40.6658008424254,
      37.1436627915554,
      44.0703471252526,
      39.3489605464581,
      45.5192652216087,
      42.3730372622194,
      36.2298302551422,
      35.3278902808892,
      40.0199715628201,
      44.4474489487651,
      38.4784440639411,
      44.0931257170781,
      41.5229222234347,
      40.5962663310819,
      44.4540377253033,
      38.2929730567413,
      34.8129747240557,
      40.5749268296815,
      46.6683959719329,
      42.4163516068764,
      41.63929378431,
      40.5753383019832,
      37.2319746047446,
      46.6362098539036,
      43.2931565913024,
      36.2584006637475,
      37.4796249140984,
      48.0803625672301,
      50.7886936615796,
      50.5458262118301,
      34.313057532949,
      37.5471282870517,
      38.5642852350059,
      47.3292592052318,
      38.6359385992035,
      34.4873677567185,
      39.6040565263115,
      38.0689773183309,
      47.4156759082754,
      41.9455308199145,
      43.40510432466,
      39.60816437265,
      39.7730001413013,
      54.3864550079179,
      51.832416482812,
      51.6219435907109,
      48.5482404802047,
      33.6676920103575,
      38.5313178403945,
      37.1826402515963,
      34.6751523841516,
      39.1028822601009,
      34.1899349142999,
      38.5797326480533,
      31.0135237282021,
      36.1730238677693,
      35.4995660495533,
      42.3067405068537,
      42.1165206914094,
      31.6476762416806,
      42.7229761895069,
      38.1453027584715,
      36.8015835964569,
      41.8267381990411,
      35.2809360687522,
      39.067726563378,
      38.7540455816476,
      36.2774293303947,
      42.0574764075972,
      36.7380934817232,
      41.8926513716046,
      40.8237077678293,
      34.2753164609328,
      37.1890866609673,
      32.5138869046424,
      33.9644903523863,
      39.0520546585627,
      44.8453370048864,
      38.478925166722,
      33.6404739761423,
      41.6511694958139,
      35.6681654327457,
      40.3332675197772,
      37.7544920994066,
      34.9949750442439,
      38.3663422845597,
      38.7901331859839,
      38.8597865412364,
      37.2586887440432,
      32.4273044555118,
      34.3089089031936,
      35.1224014728972,
      38.7366660381796,
      34.6736070547249,
      32.8303055200765,
      38.3402697892346,
      32.9322390971742,
      36.6092365183907,
      33.1625729412106,
      35.5137405388445,
      36.6951428676915,
      30.9528956475742,
      37.7241511279423,
      31.7017171521589,
      36.7994582160766,
      39.1545048022259,
      32.199204126838,
      38.2519790130931,
      30.6842071101517,
      40.2860280612191,
      36.1571011861249,
      34.0220913103546,
      37.5298836188371,
      34.9888816244863,
      41.8241883827003,
      35.7701422065282,
      39.0239915883852,
      42.2486273821423,
      35.6076914557584,
      38.6531641806036,
      34.2259412795006,
      33.1749477636394,
      37.9051556667973,
      38.3830442101678,
      42.0006074605024,
      43.141408304174,
      36.1666460806996,
      45.9244450435009,
      34.3403812068696,
      33.9556188014799,
      38.4768694559475,
      37.2887302739273,
      45.1873475934295,
      42.4779060469164,
      44.5640512364596,
      38.1412610057223,
      36.7941654977154,
      46.2464098294141,
      42.6253579688925,
      46.6753696849252,
      32.2350174298578,
      40.4495632956033,
      37.645676601057,
      33.7857435501909,
      39.4747650858332,
      39.7081241358055,
      41.0213550801259,
      39.4403264374837,
      36.4589778662973,
      47.6718928852154,
      35.3849147057004,
      36.2926086342252,
      52.2891560759821,
      42.1908211158447,
      46.0697881995089,
      33.1680740323569,
      41.9252204487808,
      55.1201158727482,
      36.9822810717863,
      36.7560188365389,
      35.534794404775,
      40.7212981420214,
      45.2036796798512,
      34.0789949916727,
      39.4757801143113,
      37.9213401076738,
      42.2212931231286,
      43.2179836682975,
      30.6605367530364,
      38.9037346975142,
      35.0355708672909,
      46.0391996472087,
      43.6297757942671,
      37.5013806601114,
      36.6127543728922,
      36.1328564206171,
      39.9779455580429,
      41.1636005075097,
      43.8642077693648,
      39.369913980329,
      42.2452887077699,
      43.720862219617,
      39.1834080041901,
      40.0499408122016,
      43.3604159920038,
      42.1959971583697,
      52.8100139884403,
      46.3047526564457,
      41.4121856118091,
      36.1603741809469,
      44.6783929109059,
      41.1343695136095,
      32.3616099041784,
      38.7265339344384,
      38.5808247953334,
      42.9297456601709,
      44.909548928838,
      38.8107700133207,
      44.32361854184,
      39.8856535684026,
      45.2508858557556,
      53.0342784132184,
      46.8788013218256,
      54.2591446145216,
      36.4890734085446,
      35.2023274018307,
      36.5179196483335,
      34.9317841710899,
      37.9074370402399,
      36.9341419980024,
      39.3619346660779,
      31.6415525743438,
      36.8818665392161,
      32.0526409746029,
      36.8556739502257,
      48.2824900959105,
      33.6380860430794,
      36.5404361091459,
      38.5932847560439,
      34.4028643267942,
      42.816303095421,
      39.8654439359308,
      34.2857134852207,
      38.4755173878514,
      36.1854872746079,
      40.7003939907726,
      39.9548374305179,
      38.8106749316778,
      39.3068400194377,
      37.1821815705523,
      37.7751539050098,
      32.8599504543352,
      32.9468402313451,
      35.5331609986798,
      40.1319935351357,
      46.2126131462209,
      30.7647098647213,
      39.5689152873945,
      38.1915357761245,
      36.2684905243305,
      41.9562892049716,
      35.8206035636888,
      40.0241292443624,
      37.5007705618996,
      36.9639428656713,
      39.5071315562421,
      33.5346322769526,
      31.5774824673083,
      34.869325910737,
      33.2908843876546,
      39.841736157132,
      35.1333182570965,
      40.2639875411033,
      36.4652814142282,
      37.8567341681457,
      41.323102161139,
      36.8578622869595,
      36.5544872393092,
      36.0094499454744,
      33.6322690705566,
      37.2719490288346,
      34.2918455395285,
      41.8089781258258,
      40.9653103739355,
      34.666316508201,
      35.6583872974164,
      32.5817421832892,
      42.4335347332747,
      35.5837579975447,
      37.1780752453896,
      36.8377451154873,
      36.6801131258256,
      37.9116102277784,
      36.0752802528285,
      44.0405406605263,
      38.2322163680208,
      37.6511194645789,
      34.6975020735628,
      35.4732131998965,
      38.0997024288895,
      43.0741046026264,
      36.4668598679886,
      45.1829375511499,
      38.6991791660726,
      40.1221303810974,
      37.3305850120178,
      30.5940869118519,
      38.1801944568769,
      35.9874556626929,
      35.5087158673761,
      38.0171166402096,
      37.116171270288,
      37.3546772781336,
      32.1714179306624,
      38.9793316269916,
      36.4950169508122,
      38.1356693739039,
      39.5509153491672,
      31.1909511877847,
      37.1289548890549,
      40.7664925751713,
      42.7557488279063,
      40.2755670680757,
      32.1750582776239,
      45.3420427025158,
      38.2701045851507,
      38.6709488700154,
      42.1679543321215,
      35.9711409924988,
      33.0152685438292,
      33.549920486223,
      39.9140511209056,
      34.8688361582342,
      34.1375868307318,
      41.923581654145,
      36.6292185122181,
      43.9386898732166,
      39.5818539201389,
      38.3824632710897,
      41.0151423047415,
      33.7339353622829,
      40.0285649746538,
      43.038252701251,
      31.2314974782825,
      36.9875747188246,
      33.6011700833784,
      35.7298036308233,
      39.7175643715516,
      35.2775898428037,
      33.4275819585927,
      32.6177191769015,
      42.2242671472661,
      36.9825605919365,
      35.3471448156518,
      33.3633603146579,
      34.7501174598312,
      41.558137592836,
      35.124761238628,
      35.8263102123407,
      31.7898013788358,
      37.5376531743559,
      45.2272540872099,
      39.0175951637931,
      32.9492243435816,
      37.6258157524996,
      39.7701525847161,
      39.88498297173,
      37.5949788199629,
      36.999196580501,
      29.9677202273414,
      38.5546295071166,
      43.4223156403287,
      34.1492719817209,
      35.7119839483411,
      30.5683291748796,
      35.6813576746057,
      37.1334754076146,
      33.3356137495524,
      38.0449093521565,
      37.0758359008623,
      42.1345772047379,
      43.0539828429289,
      34.9180979175046,
      32.3354817339644,
      32.3354817339644,
      32.3354817339644,
      33.4895154986474,
      34.4310982783361,
      38.486655785725,
      36.4123926385249,
      31.9973858341955,
      34.68764701785,
      30.2442419977852,
      37.7995604416113,
      37.4508362417174,
      30.1289710659246,
      35.7900252619838,
      34.9900393019833,
      35.5676235223644,
      36.6220970257635,
      36.7800781537116,
      39.6899131204392,
      37.9422745717293,
      37.4884907807679,
      34.9059979241639,
      36.5073304591689,
      36.2618321797798,
      36.2304749614921,
      44.6915121022271,
      35.3359656841286,
      33.4785472694153,
      35.0782798236818,
      31.3209678490344,
      39.1953861245964,
      35.4884351377111,
      31.39777199951,
      35.469233996334,
      35.2064494259589,
      36.3716528121083,
      37.2547836751991,
      38.6235927507441,
      38.4028607156481,
      37.1610460369418,
      39.0624109997126,
      35.2462406399428,
      36.1408322377619,
      38.0355801621402,
      39.2376404756854,
      35.4746039148379,
      38.5997073127918,
      31.3437771713828,
      36.3228448369641,
      41.4359055499789,
      38.5663677616978,
      36.2284987087324,
      33.4170458602012,
      40.9220373613237,
      38.6344314883862,
      36.8507009935205,
      37.0608603947951,
      31.1331875592307,
      38.4050530536575,
      40.0679109681439,
      37.3704507101932,
      35.6933773541141,
      31.6873406197604,
      37.7523843279051,
      36.0010169039245,
      40.6876620377901,
      44.6881150653775,
      39.7127787290588,
      38.5694856746867,
      35.7949886309436,
      39.8611482809545,
      41.9762569018869,
      37.0243944982202,
      36.3331664305847,
      35.5803482589603,
      39.2557703499113,
      44.7400660605029,
      43.7514132396788,
      46.9794351860779,
      40.9297297327672,
      41.8848526261746,
      43.0249599851445,
      35.6829190758199,
      39.8862523839499,
      31.5142665954858,
      37.0670141520038,
      39.165930199601,
      33.9876726825864,
      37.4209089429477,
      34.3921009079467,
      34.7386292933828,
      39.0162734845928,
      35.9710038061333,
      37.1146939782565,
      36.5064732332081,
      38.2941885113713,
      38.6751179528876,
      30.049435392765,
      34.1086959837871,
      35.8822583453204,
      37.6043000158043,
      35.0674830005483,
      37.9399629627104,
      36.4960415782114,
      34.8728958844396,
      41.2632675767404,
      35.7829548212889,
      35.7660185370043,
      37.0078324812517,
      33.2462572321205,
      40.8684951355439,
      36.9034795579737,
      34.5894868368544,
      38.3098910294692,
      36.4480389028978,
      39.0953139925944,
      37.7989946810453,
      34.5030898612457,
      34.7591252592375,
      37.0832037716911,
      38.331675558426,
      36.4977847851107,
      41.8702066447822,
      37.5938439370398,
      38.1466426272911,
      38.164086541245,
      32.8394243606842,
      35.9162041693461,
      37.8906593201576,
      42.6135408146436,
      35.9095112428194,
      39.8125815008798,
      40.1280636912263,
      34.7258826194748,
      42.0500331655748,
      36.3243775548818,
      38.4502047655779,
      40.6598352670769,
      35.3210975656388,
      38.597982394515,
      32.9799303402456,
      33.2761002332512,
      38.0157261893529,
      33.226076824522,
      44.7593746225943,
      36.1984247362542,
      31.5045880998709,
      36.7381848904793,
      35.9726864390837,
      39.8478408738167,
      37.1905418120622,
      37.4207884807306,
      38.5359878616847,
      37.151526272547,
      42.3573346926137,
      41.7758703318879,
      42.4681037889918,
      41.1352035359811,
      36.6056153217735,
      37.701241178788,
      33.6670604259298,
      32.9884419481873,
      35.2533622228822,
      36.4667642822959,
      38.2657888868901,
      31.5736797799011,
      32.5990349062264,
      32.3117555603261,
      33.7332676568703,
      32.7527452537182,
      30.3136772956817,
      33.3511467739464,
      32.7712474726537,
      32.761461020168,
      34.4680197404155,
      33.1243987115655,
      36.3779153600736,
      35.8858921436452,
      31.2517741706749,
      34.4295574497464,
      31.1744876268454,
      35.1321479064998,
      38.3108788228192,
      33.9411049987144,
      33.0084735113203,
      31.8468263530079,
      32.8250701433602,
      32.8934257264247,
      34.4279092191549,
      31.006146209477,
      30.5467930277716,
      35.4561894745642,
      31.2574313695753,
      34.7753770134478,
      33.9347115263764,
      34.3187862768134,
      36.7509662820136,
      32.6593122157311,
      33.7996039160814,
      35.0734816969972,
      31.9411636119989,
      35.6663972592758,
      33.9597745387793,
      37.342785003199,
      32.8872268035129,
      33.4503808093251,
      36.0066201799085,
      35.5424281215359,
      36.9602194839784,
      34.3983781617591,
      37.227240381362,
      37.0112027512904,
      34.5983279156413,
      37.3491439214189,
      32.3109352736939,
      36.3046984133709,
      36.4832680874541,
      34.3024115555948,
      35.6178619167071,
      31.5365300919841,
      39.4113017873338,
      33.7136805947902,
      35.2768183194635,
      41.856768113738,
      39.6176980487753,
      38.6859751887806,
      37.196142802176,
      34.9323624065964,
      38.6445504632793,
      38.0411052976735,
      38.1611546834804,
      35.4201773375346,
      34.0127637742394,
      38.6650233229903,
      39.2327673546258,
      50.6548701013132,
      41.5173321842652,
      36.1929632495328,
      35.7278573462156,
      36.5444501397234,
      39.3132738953247,
      37.0737720645834,
      34.1614503102746,
      39.3149586207317,
      39.3084720782094,
      40.1974498594772,
      32.6722503391686,
      37.6802925440814,
      40.2083454538691,
      37.0388051538011,
      38.8994556453539,
      33.760333493692,
      38.1276898380911,
      35.6961398202376,
      33.3512073959546,
      36.0404865786586,
      36.7215519573243,
      38.0049841438129,
      35.6830580232397,
      36.2003665426643,
      40.8668615988606,
      34.5558612297418,
      35.9008412397014,
      43.385218348156,
      38.3139478201749,
      41.3842677059555,
      31.092659367574,
      36.3350647992965,
      46.1768225063394,
      34.0553994694763,
      33.9722286937214,
      33.6301278076226,
      43.4882282892011,
      39.7552465157776,
      31.6340376467887,
      39.0199964840338,
      34.9475360380234,
      37.523722224606,
      39.9891102536231,
      32.2706728122345,
      32.7219894460385,
      36.1893467430568,
      47.3154601202353,
      41.7559164407711,
      39.084098087371,
      33.7421087797805,
      34.927473492112,
      38.9498613545711,
      39.063836921216,
      40.4496848499071,
      36.4546145863905,
      37.4475905298258,
      37.8008888109904,
      37.0895298212386,
      39.9397517444829,
      40.2034931780319,
      40.4483923121626,
      42.0005498473532,
      36.260277471736,
      37.518182365047,
      35.4673377231689,
      36.8361226035522,
      40.0798295554202,
      31.6225832211461,
      33.7338993781755,
      37.8473087003598,
      35.0165786643989,
      38.0451912521875,
      31.6693530260522,
      39.2360141726592,
      36.3144813330966,
      36.9678248836271,
      39.0853455295994,
      39.5129733764378,
      43.6444096372038,
      35.8722170146566,
      35.302763498211,
      33.9846961855044,
      30.9342066971272,
      33.9685285067862,
      36.1534306253366,
      39.0803849034762,
      31.2896744545058,
      32.9414765002842,
      30.6363563415647,
      32.9697669559422,
      34.6017764790907,
      31.3659066450027,
      33.3586409187782,
      34.1436189506105,
      32.1350336504788,
      36.3345421003743,
      33.7057671104415,
      34.990385170515,
      36.2815168308372,
      32.1215408687152,
      32.6573724794858,
      33.8607385809436,
      34.2463952599929,
      35.1680099590013,
      35.7778446563721,
      34.1197158623021,
      31.5426743387987,
      33.7423386727908,
      31.7470028424836,
      33.078210946607,
      33.4556115313211,
      31.1170602412911,
      34.0460153205527,
      34.240376603268,
      31.4151345090701,
      35.8335151178628,
      34.1668968869953,
      36.4140978729993,
      34.027492626183,
      33.1600234663495,
      34.9771134469823,
      32.7846883234531,
      32.1066967809317,
      35.6439417322385,
      39.0182854373565,
      44.4088573067517,
      39.9841853505983,
      39.6531905578594,
      38.2126407324028,
      37.2964016453383,
      39.6433389867667,
      39.2686801648582,
      37.5721883549948,
      36.3305725226133,
      36.407982523253,
      39.400067969124,
      39.7599282242017,
      41.8639497775895,
      39.6166781563168,
      37.391465039477,
      35.6881184475516,
      35.2172108432553,
      38.5352266582261,
      34.7870718012747,
      40.89352453305,
      42.7881962059885,
      39.0800250422916,
      38.1094027757242,
      34.720870994449,
      39.9414331020844,
      41.0907229329281,
      37.0315819334199,
      37.4172429921357,
      36.4530854815952,
      38.9137758300996,
      44.3823064707809,
      43.7398592965736,
      47.0628509115386,
      41.3899672730299,
      41.8503172985568,
      43.1221465512748,
      34.1405430610557,
      36.1968867943923,
      32.8030372671369,
      31.9756502871097,
      34.252243753662,
      36.2082662423302,
      37.6592832792875,
      33.0464038823201,
      33.4708585104578,
      32.5722156311587,
      35.3531519791341,
      34.5818014705167,
      31.2734996146231,
      31.625710640647,
      34.4856762260673,
      34.4013974402321,
      32.2925824069502,
      31.8358098106724,
      37.1910483949309,
      30.5011960725761,
      34.2951210508996,
      31.8886943906283,
      32.7147281610963,
      33.1116488462138,
      31.8339014413391,
      36.5109108293634,
      35.3941553739349,
      31.7718905473476,
      34.404904360504,
      32.1018978936882,
      36.8646746535815,
      34.4651409106506,
      31.592627718899,
      32.6103352103445,
      32.9404853023352,
      33.7646992365988,
      33.7276616843677,
      31.8931696937034,
      30.7785650165043,
      31.1856619782854,
      33.4670010363382,
      34.9415415551677,
      34.1742966897664,
      32.8254819346638,
      32.2504400637749,
      35.2397288954498,
      32.7615887739822,
      32.9452865816623,
      34.3493561780298,
      32.6394297155262,
      33.0166072596029,
      33.4601630075927,
      33.9879495501603,
      34.871335284099,
      34.1994247678053,
      40.9564624089814,
      34.7077820094367,
      33.4997981529682,
      31.5111865003752,
      33.0206202473126,
      35.1912995711057,
      33.3515928542819,
      34.1649952311687,
      34.5385371807113,
      31.7440588748123,
      34.963876641276,
      32.4547939207628,
      34.2976090570285,
      32.4576318573935,
      32.0182281030627,
      32.9263975147678,
      32.7603259846711,
      33.2777012407194,
      35.0603681553493,
      33.5684633194222,
      34.5559517779497,
      32.3354817339644,
      32.3354817339644,
      32.3354817339644,
      32.3354817339644,
      50.5507698354843,
      57.1314010013011,
      55.1737100795473,
      56.1241857275432,
      50.4121507330009,
      53.7224522867703,
      58.6784114411264,
      55.3364023826992,
      59.1419807282213,
      52.402350158201,
      52.7123936930433,
      54.5973803871186,
      51.3512984227895,
      54.8021704497081,
      51.6200258444164,
      55.905367706093,
      56.96260421434,
      53.6637568515011,
      57.8165375771017,
      50.869538446266,
      58.1496857153632,
      54.1538493702072,
      58.776424857463,
      55.755023750964,
      51.0712475325306,
      58.616064737418,
      53.1488432533749,
      60.667378287916,
      59.335069142022,
      53.9876839148132,
      51.2902917268778,
      55.0500243294921,
      55.8995933579198,
      56.0064521140824,
      51.6476858251902,
      58.4607790446492,
      55.9353341354693,
      55.6257446577586,
      61.8296438013314,
      53.8758697860596,
      56.3322118747703,
      55.1645899684951,
      60.4634757460509,
      54.082532016255,
      56.6101989804175,
      54.8369726659294,
      57.3562226610875,
      63.3607577189476,
      52.3723709555711,
      59.3588984658331,
      59.3125434064417,
      54.7951402967488,
      60.0872702415256,
      52.4190879589548,
      59.4916273384725,
      59.1245914101005,
      59.3265404458533,
      61.7154771964278,
      51.5707986987825,
      61.3080978048451,
      61.7648785652556,
      69.8692169709407,
      68.9894312311611,
      71.1327481927042,
      71.9939474625329,
      66.5236921170893,
      67.9727658092025,
      68.5459636845066,
      66.7808337094937,
      69.5492412440153,
      64.8540116833523,
      68.0366995215426,
      64.0822999880306,
      64.5536223583613,
      64.6510087538496,
      59.332571818336,
      64.0588941633497,
      49.8808262675231,
      46.2483170151827,
      69.2274472386378,
      67.0179971049168,
      64.1734532336595,
      65.5807224170395,
      69.6470035318542,
      59.9235356785937,
      60.9957153715928,
      68.7805927551445,
      65.3298755205752,
      70.0491750514235,
      59.6613239600243,
      64.2578360616516,
      69.6400952597587,
      67.0856604571816,
      68.4929878914619,
      53.988502885133,
      67.4701372800121,
      68.1313025579135,
      67.1093063468552,
      69.1641795479609,
      47.8775862702224,
      53.9834093822852,
      67.9561428288717,
      58.6346521713789,
      68.3765626464341,
      54.5338256573738,
      60.8401800430728,
      66.5632786651971,
      60.5315520023353,
      67.8722018684669,
      57.4697712320261,
      70.5042912310881,
      68.5536774106445,
      71.8840407589508,
      66.5627880709754,
      57.4310807499067,
      66.0426376326714,
      68.2263722710034,
      70.7470788774175,
      68.305220963172,
      65.5406357110419,
      68.2385098841688,
      65.0940209980696,
      66.9734680251708,
      55.5207367501081,
      55.9331102837009,
      66.9365944174783,
      67.2733788890477,
      67.0671567506934,
      68.5061492301908,
      61.9656321322136,
      68.0376897017444,
      69.3513866980418,
      69.6878987558588,
      65.4042439848084,
      58.5508744080774,
      70.4748934530098,
      67.0861407168335,
      49.5415589632382,
      59.8901389896391,
      53.1417138528412,
      62.4110688167003,
      59.3651391501614,
      60.8636234388645,
      61.0582269044817,
      57.84505901563,
      60.9615555058158,
      61.7362950804799,
      61.9757477767273,
      56.5983357218899,
      50.4236708762626,
      62.5726345474334,
      64.2690477919065,
      66.8075699667948,
      63.4446432352308,
      58.6848238034084,
      59.8626549316172,
      56.7111506722183,
      62.2302812631356,
      62.9256357718833,
      60.706708064845,
      65.4508839078329,
      57.471167934121,
      59.4794308273417,
      62.0604535597483,
      60.1531006358216,
      66.3530096596649,
      59.0422122478944,
      60.9846074045179,
      54.6416747179364,
      56.7183220628957,
      64.5729658525793,
      58.2251982048362,
      60.3011116275017,
      60.093165515961,
      56.2620363954614,
      65.8838141771175,
      62.8118696118647,
      58.4287383971994,
      61.2978666493192,
      59.3993969343666,
      63.7271305142731,
      59.0330448445202,
      60.5390655815304,
      62.6571291730583,
      60.940949589873,
      65.048396576996,
      60.9152043028836,
      58.4588848347811,
      58.8276138902257,
      60.1250309385318,
      60.3456834060116,
      59.9251872286901,
      62.8694899480994,
      58.3082374686208,
      61.5685431715188,
      64.139982213288,
      61.105825689499,
      64.7942302474739,
      54.8940584025594,
      63.0312350658455,
      59.2604952642465,
      55.4572442842326,
      59.975839214351,
      54.3869641510442,
      66.1754401855128,
      60.0087104728283,
      54.323480512677,
      64.7241869623843,
      56.2958169493459,
      63.7201063726728,
      58.1152415266132,
      56.1488718704793,
      65.2658461549306,
      55.8964140709762,
      65.7738692415489,
      59.0376433028745,
      57.808754194098,
      64.1096432636016,
      63.6115223776308,
      70.3560371475894,
      70.0293614381897,
      73.2746006081273,
      69.7036832084677,
      65.8420460853384,
      69.8314899119973,
      68.2967396241288,
      69.6860859862942,
      68.1753137367215,
      64.6687306335749,
      67.0991548832422,
      65.3887097831253,
      68.1900034512188,
      59.9225407266459,
      62.0031581969187,
      64.6283360011085,
      47.8455081217261,
      66.828272341132,
      66.4518053069287,
      64.8177295590376,
      68.301414079653,
      63.8753264083592,
      69.1994906393399,
      50.9890130933036,
      58.5157720819987,
      66.4115427175666,
      66.1232329383007,
      69.1359184004538,
      50.9475032413736,
      62.4971622395966,
      65.7283196713326,
      66.215862198229,
      65.477425345369,
      62.3350996100185,
      67.4637625792375,
      61.5188055674365,
      65.3830168334464,
      59.4586806082555,
      44.2323969482694,
      62.5280848051721,
      64.1116847443497,
      67.2520760366639,
      60.0045960464914,
      44.7766368874314,
      63.5073697310378,
      61.8408600850271,
      69.3978318378861,
      59.4989657321411,
      52.9357136600614,
      68.0185582246548,
      64.9414835223732,
      68.9563270515263,
      63.5364199876081,
      60.9579891729404,
      67.4093284920903,
      67.8193704962413,
      69.2782881342626,
      64.3145706616816,
      57.2868987609585,
      63.9955342850087,
      66.7056638368967,
      66.6709775040883,
      51.0251464338232,
      54.1875516468301,
      63.2482452971365,
      63.7147494849075,
      64.2011912192757,
      66.0385860602953,
      61.9147495043006,
      71.5568649228314,
      65.1863618079015,
      67.8938425048318,
      63.438007876247,
      64.8608543072723,
      68.6901625829975,
      65.7305885768713,
      65.0231587251073,
      54.8675195622318,
      58.6965151942493,
      65.0321410477985,
      62.7399682603105,
      63.6140667812515,
      57.5240332391069,
      61.8923635320079,
      66.3560149799357,
      65.1022977794465,
      60.0331362488463,
      49.9303110737402,
      60.1160293601734,
      64.908564751037,
      67.5152352257207,
      66.526585495483,
      60.5779369622044,
      62.5609076719331,
      59.5691617279524,
      62.2959046212007,
      64.6380683799822,
      61.1953635089327,
      63.6066433219075,
      61.9918136285943,
      57.4510458881714,
      60.9830170162024,
      60.6826085031619,
      64.2209940331036,
      63.2982642440332,
      56.6653257530782,
      60.3526099703204,
      56.4068282921435,
      62.2530792555614,
      59.7766441431516,
      55.4745543442751,
      62.8748059997371,
      59.6728189235278,
      62.4783734252567,
      62.4293728169596,
      56.6809876319268,
      63.7728572896368,
      58.5890177828261,
      64.6763320480514,
      59.5114580125102,
      57.5291073591347,
      63.5338603823499,
      59.9551562967471,
      65.5756307241385,
      62.5923224271531,
      59.972970708802,
      55.6389474684625,
      60.1114036764908,
      64.3058100711832,
      58.3780935247115,
      59.8255148553134,
      60.5317127320316,
      59.4013256975744,
      64.3106588882872,
      63.4161785770907,
      62.5454953209991,
      59.5986895647494,
      66.0221381528876,
      69.4227335051796,
      70.1248004920482,
      72.0356951052089,
      68.8264482813291,
      65.0388536889586,
      69.3189635859302,
      67.096774712461,
      69.6017354016516,
      67.1425532425475,
      64.5727541453185,
      66.5932426357719,
      63.9531486410357,
      66.8185277116325,
      62.8720932918347,
      63.4493313169066,
      63.0238135033088,
      52.1178168724676,
      68.4985677668312,
      65.8929471386166,
      69.4294631632871,
      68.9778454859441,
      71.1668949235317,
      71.9703023547023,
      66.5200035889591,
      67.962592333746,
      68.5405558969717,
      66.6721746756032,
      69.7333398373982,
      64.9141216978166,
      68.0339688784477,
      64.0359004373199,
      64.5785595609582,
      64.6814888514822,
      59.33095092676,
      63.9419104605833,
      46.8740678888514,
      46.0849824109075,
      69.1371163492834,
      65.4621784595472,
      62.2877829819736,
      56.4651094735681,
      53.8610326400637,
      61.363620803392,
      61.5694496365598,
      59.8071377659219,
      62.0583445742515,
      58.7623983017384,
      59.9856445234403,
      63.2860461605761,
      62.3334969925518,
      54.7361100689666,
      60.2382712357738,
      54.1490308345667,
      58.1763191369516,
      61.2680248873018,
      56.2838276779859,
      61.8146039240367,
      58.2496800266218,
      61.1837147462087,
      66.1151150704938,
      53.5686004568331,
      64.8205438259681,
      59.1154166194458,
      55.7173294984705,
      65.2688651591397,
      57.8753611398529,
      62.0689241590245,
      62.411795699974,
      61.5169289166753,
      64.4243377736563,
      59.7389973996366,
      60.9227822895518,
      57.6391110481752,
      56.6475944667567,
      67.4721370886671,
      62.1302094977589,
      63.3765610169067,
      56.0018116390632,
      58.0568349531447,
      58.2435100259185,
      50.1073008582017,
      58.0240081964832,
      52.5452725565451,
      58.4631369681891,
      54.8806548358537,
      50.1670325672915,
      58.4271942550372,
      51.624948275168,
      60.428748277916,
      54.3699919593357,
      50.2421760220222,
      56.5760543543653,
      52.1331935511935,
      59.8795937745946,
      50.6818781395454,
      57.9449023937792,
      59.6248155971757,
      53.8807968525561,
      61.5770422009734,
      54.2749658059888,
      49.6266442491779,
      58.3554269442687,
      54.2863445058797,
      61.0222108837187,
      53.6578461364702,
      49.1625867051732,
      57.1693003882292,
      52.1703999397736,
      60.0214655270744,
      51.3173648893082,
      39.7346740587396,
      34.9880703330818,
      35.1579761666229,
      32.3354817339644,
      32.3354817339644,
      32.3354817339644,
      32.3354817339644
    ],
    "harmonic_energy_curve": [
      0.0131639409810305,
      0.024463914334774,
      0.0430630072951317,
      0.0475881770253181,
      0.0155760236084461,
      0.0262508392333984,
      0.0143198650330305,
      0.0283615924417973,
      0.0356427356600761,
      0.012278919108212,
      0.0258525051176548,
      0.0281141009181738,
      0.0186271704733372,
      0.0405973754823208,
      0.0165360476821661,
      0.0306257493793964,
      0.0336212888360023,
      0.030326584354043,
      0.0353706404566765,
      0.0294364485889673,
      0.0372458398342133,
      0.0256994646042585,
      0.0465153306722641,
      0.0324620790779591,
      0.0366957411170006,
      0.0315355733036995,
      0.018938172608614,
      0.033072218298912,
      0.0271093361079693,
      0.0111589003354311,
      0.0263524334877729,
      0.0274897441267967,
      0.0250193383544683,
      0.0343760289251804,
      0.019795048981905,
      0.0308061446994543,
      0.0300729162991047,
      0.0300733558833599,
      0.0298409424722195,
      0.0253783687949181,
      0.0372783355414867,
      0.0493147894740105,
      0.0353180356323719,
      0.0271299928426743,
      0.024507462978363,
      0.0477320626378059,
      0.0485328547656536,
      0.038599357008934,
      0.0274547450244427,
      0.0246417038142681,
      0.0429967567324638,
      0.0341506190598011,
      0.0341347120702267,
      0.0230450946837664,
      0.0277007650583982,
      0.040312621742487,
      0.0414259806275368,
      0.030933428555727,
      0.0162285175174475,
      0.0305895693600178,
      0.0518188700079918,
      0.0555166676640511,
      0.0491655431687832,
      0.0442221947014332,
      0.0582420043647289,
      0.0549398548901081,
      0.0554279834032059,
      0.0509608127176762,
      0.0416693389415741,
      0.0509814918041229,
      0.0571611784398556,
      0.0614560656249523,
      0.0421767979860306,
      0.0416662283241749,
      0.0498672723770142,
      0.0558899007737637,
      0.0482233017683029,
      0.0347291193902493,
      0.0297729317098856,
      0.0500059053301811,
      0.243398144841194,
      0.3609818816185,
      0.213372111320496,
      0.0781603679060936,
      0.0437657311558723,
      0.206919848918915,
      0.248693376779556,
      0.290636122226715,
      0.122551657259464,
      0.0493718273937702,
      0.201836034655571,
      0.253672748804092,
      0.183825254440308,
      0.0645725652575493,
      0.0362594872713089,
      0.0465005934238434,
      0.232547208666801,
      0.215603187680244,
      0.0695963501930237,
      0.0467837043106556,
      0.297991842031479,
      0.326433122158051,
      0.203758120536804,
      0.0732773393392563,
      0.0592037029564381,
      0.282376348972321,
      0.306871324777603,
      0.200933858752251,
      0.0754401236772537,
      0.0836275666952133,
      0.247664764523506,
      0.146757915616035,
      0.0653725117444992,
      0.15165801346302,
      0.13741971552372,
      0.0552077107131481,
      0.0345029532909393,
      0.0413773208856583,
      0.0462476946413517,
      0.142849415540695,
      0.334005534648895,
      0.28843292593956,
      0.114399798214436,
      0.052700724452734,
      0.133454173803329,
      0.243688270449638,
      0.29040390253067,
      0.188484326004982,
      0.071109876036644,
      0.151981681585312,
      0.257750689983368,
      0.213810309767723,
      0.0916701257228851,
      0.0522269681096077,
      0.044178944081068,
      0.184406161308289,
      0.241360262036324,
      0.0957824811339378,
      0.0462522804737091,
      0.044359415769577,
      0.0505122803151608,
      0.0461399331688881,
      0.034985139966011,
      0.0457740090787411,
      0.0399447940289974,
      0.0503031760454178,
      0.0549916215240955,
      0.0397464036941528,
      0.0430666953325272,
      0.0481834635138512,
      0.0494319833815098,
      0.0438192598521709,
      0.0380453951656818,
      0.0454993657767773,
      0.0453136749565601,
      0.0327385142445564,
      0.0277954787015915,
      0.0350356772542,
      0.0507958382368088,
      0.29399785399437,
      0.384443432092667,
      0.168149620294571,
      0.0613588839769363,
      0.0558677278459072,
      0.238678276538849,
      0.270580470561981,
      0.271147012710571,
      0.092251755297184,
      0.0688366666436195,
      0.246810048818588,
      0.252734392881393,
      0.134223207831383,
      0.0514839105308056,
      0.0505953952670097,
      0.107530817389488,
      0.251642316579819,
      0.153034836053848,
      0.063716433942318,
      0.146023571491241,
      0.292348742485046,
      0.31927502155304,
      0.149865418672562,
      0.070576012134552,
      0.141597077250481,
      0.294446617364883,
      0.273785531520844,
      0.158151730895042,
      0.0629914626479149,
      0.152384132146835,
      0.219109237194061,
      0.119135938584805,
      0.0437473207712173,
      0.183492243289948,
      0.110687889158726,
      0.044463187456131,
      0.0363094620406628,
      0.0335511714220047,
      0.0471075512468815,
      0.0524643547832966,
      0.0431056991219521,
      0.0386797562241554,
      0.0149443103000522,
      0.0518004707992077,
      0.0472505278885365,
      0.0412969999015331,
      0.0392670556902885,
      0.0152727635577321,
      0.0413658544421196,
      0.0421875678002834,
      0.0316079333424568,
      0.032448410987854,
      0.0138963405042887,
      0.0451848804950714,
      0.0424895584583282,
      0.0382518321275711,
      0.0255059450864792,
      0.0120771639049053,
      0.0521811060607433,
      0.0592701993882656,
      0.0489131957292557,
      0.046389278024435,
      0.0502172149717808,
      0.0607348568737507,
      0.0590478405356407,
      0.0501402504742146,
      0.044407706707716,
      0.0455537214875221,
      0.0543549731373787,
      0.0659085959196091,
      0.0474050156772137,
      0.0451743453741074,
      0.0410802438855171,
      0.0528392158448696,
      0.0541874244809151,
      0.0426626615226269,
      0.028906837105751,
      0.0386001653969288,
      0.116162061691284,
      0.323673874139786,
      0.324977666139603,
      0.130104407668114,
      0.0605400055646896,
      0.10444587469101,
      0.239454671740532,
      0.285916835069656,
      0.217101186513901,
      0.0777568444609642,
      0.120609298348427,
      0.255670338869095,
      0.220413133502007,
      0.0984723195433617,
      0.0469003580510616,
      0.0350790843367577,
      0.159826457500458,
      0.243322640657425,
      0.113400802016258,
      0.050505019724369,
      0.195422857999802,
      0.291873842477798,
      0.285090327262878,
      0.11678770929575,
      0.0531600713729858,
      0.191713199019432,
      0.309448271989822,
      0.246191710233688,
      0.125500559806824,
      0.0525610521435738,
      0.196855381131172,
      0.198972821235657,
      0.0911415964365005,
      0.0470386333763599,
      0.214053705334663,
      0.086658850312233,
      0.0397716648876667,
      0.0315206609666348,
      0.0413405410945415,
      0.0275632310658693,
      0.265210002660751,
      0.369257748126984,
      0.195362702012062,
      0.0720538124442101,
      0.0384703576564789,
      0.222639352083206,
      0.253406494855881,
      0.294874429702759,
      0.107035622000694,
      0.0578164309263229,
      0.224537774920464,
      0.264099389314651,
      0.159093633294106,
      0.0574653819203377,
      0.0465143248438835,
      0.0776543319225311,
      0.249635353684425,
      0.185472220182419,
      0.0697951912879944,
      0.044158261269331,
      0.0470148622989655,
      0.0525926984846592,
      0.0400632619857788,
      0.0429623983800411,
      0.038735281676054,
      0.0454671010375023,
      0.0539034940302372,
      0.0528308711946011,
      0.0385135821998119,
      0.0440213903784752,
      0.0482050515711308,
      0.0493174381554127,
      0.0417571365833282,
      0.0457951240241528,
      0.0455842912197113,
      0.0378998219966888,
      0.0327167958021164,
      0.0320075415074825,
      0.0433606319129467,
      0.187721863389015,
      0.346215009689331,
      0.266366630792618,
      0.0988562926650047,
      0.0588760077953339,
      0.162178680300713,
      0.245378881692886,
      0.293818771839142,
      0.161340579390526,
      0.0641272887587547,
      0.171763733029366,
      0.253604650497437,
      0.203638851642609,
      0.0736712887883186,
      0.0535750612616539,
      0.0487924255430698,
      0.190445214509964,
      0.236729890108109,
      0.0884299203753471,
      0.0634539723396301,
      0.26069250702858,
      0.293227702379227,
      0.263759136199951,
      0.0903137251734734,
      0.0571068227291107,
      0.239500597119331,
      0.317210912704468,
      0.223649770021439,
      0.0892202779650688,
      0.0508724115788937,
      0.24010381102562,
      0.182579144835472,
      0.0721425786614418,
      0.0853351503610611,
      0.183598309755325,
      0.0683216452598572,
      0.0375986360013485,
      0.0350319109857082,
      0.0358145870268345,
      0.0723835378885269,
      0.314891844987869,
      0.365498781204224,
      0.148100808262825,
      0.0633712857961655,
      0.0904213786125183,
      0.246248543262482,
      0.282959222793579,
      0.245789140462875,
      0.0881684347987175,
      0.106889136135578,
      0.255298674106598,
      0.237494334578514,
      0.116050109267235,
      0.0510055683553219,
      0.0549268163740635,
      0.140983834862709,
      0.250345379114151,
      0.127696067094803,
      0.0572056360542774,
      0.0645073130726814,
      0.0529462620615959,
      0.0488823466002941,
      0.0441651046276093,
      0.0567106008529663,
      0.0529221817851067,
      0.0516598671674728,
      0.0509851835668087,
      0.0417781285941601,
      0.048968531191349,
      0.0556602813303471,
      0.0576405227184296,
      0.0422636792063713,
      0.0413239076733589,
      0.049955241382122,
      0.0545600727200508,
      0.0471669025719166,
      0.0213944390416145,
      0.0151823740452528,
      0.0367721430957317,
      0.241590470075607,
      0.358571320772171,
      0.209530040621758,
      0.0737079903483391,
      0.0508919395506382,
      0.206308409571648,
      0.24650114774704,
      0.293535768985748,
      0.119682356715202,
      0.0523409843444824,
      0.202517211437225,
      0.250614196062088,
      0.183122500777245,
      0.0563253164291382,
      0.0379796847701073,
      0.0433467738330364,
      0.23084944486618,
      0.215121239423752,
      0.0653354078531265,
      0.052569542080164,
      0.298906862735748,
      0.324338316917419,
      0.200821131467819,
      0.0692189112305641,
      0.0602892227470875,
      0.278059393167496,
      0.305196493864059,
      0.197777971625328,
      0.0724480301141739,
      0.0852676779031754,
      0.244295671582222,
      0.143286600708961,
      0.0509596951305866,
      0.140951186418533,
      0.137038633227348,
      0.0532073341310024,
      0.0203620605170727,
      0.0180407967418432,
      0.0332031324505806,
      0.0410622544586658,
      0.0393779948353767,
      0.0313085652887821,
      0.0170724950730801,
      0.0349471606314182,
      0.0415779426693916,
      0.039398442953825,
      0.0299177598208189,
      0.0258153360337019,
      0.0369897559285164,
      0.0349283888936043,
      0.0333847664296627,
      0.0290124788880348,
      0.0169910117983818,
      0.0355093479156494,
      0.0365629531443119,
      0.0264218617230654,
      0.0169701538980007,
      0.0160334389656782,
      0.0407842770218849,
      0.0500005148351192,
      0.0398188047111034,
      0.0262993201613426,
      0.0108122313395143,
      0.0438949652016163,
      0.0403282716870308,
      0.0292397737503052,
      0.0284963883459568,
      0.0210108961910009,
      0.0379584431648254,
      0.0389440134167671,
      0.0285985618829727,
      0.0239811856299639,
      0.0132474517449737,
      0.0352739989757538,
      0.0367031767964363,
      0.0157245174050331,
      0.00757981278002262,
      0.00103821814991534,
      0.0000058034834182763
    ],
    "percussive_energy_curve": [
      0.0216950140893459,
      0.0124585824087262,
      0.00452303048223257,
      0.0093288142234087,
      0.00634207762777805,
      0.0177120231091976,
      0.021346602588892,
      0.00776996556669474,
      0.00775429513305426,
      0.00580465560778975,
      0.0144498515874147,
      0.0126715842634439,
      0.00816685985773802,
      0.0117239682003856,
      0.0101698059588671,
      0.00847124308347702,
      0.0224394835531712,
      0.0135623030364513,
      0.0228842403739691,
      0.00923269614577293,
      0.0188367068767548,
      0.00466763786971569,
      0.00889475177973509,
      0.0117496270686388,
      0.00568856252357364,
      0.0173416379839182,
      0.0187013186514378,
      0.0117695769295096,
      0.0125912297517061,
      0.0175028406083584,
      0.010758982039988,
      0.0162450764328241,
      0.0103352153673768,
      0.0157111510634422,
      0.00408534146845341,
      0.0159019008278847,
      0.0227762423455715,
      0.0158654004335403,
      0.0249416511505842,
      0.00774739449843764,
      0.00914037227630615,
      0.00802897848188877,
      0.028904577717185,
      0.00493587553501129,
      0.0378492549061775,
      0.00988333113491535,
      0.0116325123235583,
      0.0304148644208908,
      0.00602300325408578,
      0.0394797064363956,
      0.0121977115049958,
      0.0208944734185934,
      0.0288706161081791,
      0.00592754548415542,
      0.0385491624474525,
      0.0136776398867369,
      0.0188023000955582,
      0.0199133343994617,
      0.00387142202816904,
      0.0393731109797955,
      0.0151781253516674,
      0.0285575054585934,
      0.017636576667428,
      0.0135835893452168,
      0.040159173309803,
      0.023286446928978,
      0.0352310948073864,
      0.0163107588887215,
      0.0119226081296802,
      0.0468313582241535,
      0.0224636401981115,
      0.0339095331728458,
      0.0137593150138855,
      0.0079079819843173,
      0.0408831611275673,
      0.017080269753933,
      0.0328184589743614,
      0.00837368331849575,
      0.0117633445188403,
      0.0454806126654148,
      0.0564455762505531,
      0.0766920372843742,
      0.0522572807967663,
      0.0297125186771154,
      0.0312624052166939,
      0.0656212419271469,
      0.0756375938653946,
      0.053233128041029,
      0.0363214053213596,
      0.0319828316569328,
      0.072940282523632,
      0.0890581980347633,
      0.0544849969446659,
      0.0441093742847443,
      0.0291238967329264,
      0.0517165884375572,
      0.0864719972014427,
      0.039273589849472,
      0.0503789819777012,
      0.027823269367218,
      0.073364146053791,
      0.085060678422451,
      0.0207038260996342,
      0.0458513014018536,
      0.0414922945201397,
      0.0775607526302338,
      0.0773389115929604,
      0.0186333041638136,
      0.0449797958135605,
      0.0527306720614433,
      0.0742223784327507,
      0.0430527105927467,
      0.0239200368523598,
      0.0676498785614967,
      0.0176556427031755,
      0.0418268218636513,
      0.0428321585059166,
      0.0262819956988096,
      0.0440260954201221,
      0.0599407702684402,
      0.0656492114067078,
      0.0629510432481766,
      0.0262349098920822,
      0.0406330116093159,
      0.0629619657993317,
      0.0720721781253815,
      0.054873950779438,
      0.0248586032539606,
      0.0535304434597492,
      0.0648631229996681,
      0.077752910554409,
      0.0563958324491978,
      0.0305731240659952,
      0.0484520718455315,
      0.0277158506214619,
      0.0730283856391907,
      0.0587835013866425,
      0.0124725298956037,
      0.0487274490296841,
      0.0188789367675781,
      0.03465536236763,
      0.00567161291837692,
      0.0179450549185276,
      0.0432689934968948,
      0.0260515697300434,
      0.0378798544406891,
      0.0114387022331357,
      0.0162932313978672,
      0.0329380519688129,
      0.0243116356432438,
      0.0354408696293831,
      0.0165638718754053,
      0.0199210029095411,
      0.0233032274991274,
      0.0177442971616983,
      0.0397200286388397,
      0.0172868520021439,
      0.0394038744270802,
      0.0434074513614178,
      0.0758067220449448,
      0.0842859521508217,
      0.0214949939399958,
      0.0382188744843006,
      0.0379977449774742,
      0.0752936974167824,
      0.07588991522789,
      0.0159060265868902,
      0.0469215586781502,
      0.0457456670701504,
      0.0681368336081505,
      0.072051577270031,
      0.020421739667654,
      0.0397918596863747,
      0.0214965976774693,
      0.0590220466256142,
      0.074165977537632,
      0.027510616928339,
      0.040861077606678,
      0.0534792244434357,
      0.0607303306460381,
      0.071493960916996,
      0.018156424164772,
      0.0414927788078785,
      0.0611065626144409,
      0.0691971182823181,
      0.0636880025267601,
      0.0193985942751169,
      0.0490854792296886,
      0.0632453411817551,
      0.0769377052783966,
      0.0188842248171568,
      0.0203942060470581,
      0.0676890090107918,
      0.032075297087431,
      0.043948583304882,
      0.0212630648165941,
      0.0295355767011642,
      0.0490625575184822,
      0.0139158833771944,
      0.0330771505832672,
      0.011814558878541,
      0.00935672037303448,
      0.0422929711639881,
      0.0167093928903341,
      0.034236166626215,
      0.0126682026311755,
      0.0103072570636868,
      0.0410321652889252,
      0.0275292117148638,
      0.0369852110743523,
      0.0113628637045622,
      0.0165573246777058,
      0.0344551876187325,
      0.0199622716754675,
      0.0352325662970543,
      0.0082209100946784,
      0.025356400758028,
      0.0241334810853004,
      0.0213346276432276,
      0.037897102534771,
      0.0151552660390735,
      0.0350761786103249,
      0.0227834433317184,
      0.0223070066422224,
      0.0396300740540028,
      0.0183801893144846,
      0.0377464257180691,
      0.0235643573105335,
      0.0219308789819479,
      0.0386041030287743,
      0.0173562858253717,
      0.040632601827383,
      0.0125055387616158,
      0.0172626879066229,
      0.0388732738792896,
      0.0151888784021139,
      0.0474419519305229,
      0.0506678074598312,
      0.0643245875835419,
      0.0683874264359474,
      0.0253401007503271,
      0.0424536094069481,
      0.050208430737257,
      0.0666433796286583,
      0.0655285492539406,
      0.0257638245820999,
      0.0445372499525547,
      0.0497707650065422,
      0.0782183855772018,
      0.0592555031180382,
      0.0266371872276068,
      0.0467888377606869,
      0.0323258489370346,
      0.0750486254692078,
      0.0513909608125687,
      0.0312719084322453,
      0.0412908867001534,
      0.0479205921292305,
      0.0858327969908714,
      0.0560927614569664,
      0.0264502130448818,
      0.0390513837337494,
      0.0550199821591377,
      0.082017756998539,
      0.0543996505439281,
      0.0209548454731703,
      0.041387215256691,
      0.0706217661499977,
      0.082549512386322,
      0.0198653973639011,
      0.0298765525221825,
      0.0594159439206123,
      0.0373935177922249,
      0.0459058880805969,
      0.0224936474114656,
      0.0286639872938395,
      0.0364183858036995,
      0.0608357526361942,
      0.0835265144705772,
      0.0426080673933029,
      0.0381516441702843,
      0.018239488825202,
      0.0739045739173889,
      0.0853130966424942,
      0.0341638401150703,
      0.0413921810686588,
      0.035388607531786,
      0.0771080404520035,
      0.0843658670783043,
      0.0289785582572222,
      0.044487789273262,
      0.0238795224577188,
      0.0616692490875721,
      0.0711055845022202,
      0.0166934840381145,
      0.0431525781750679,
      0.0150476805865765,
      0.0198192503303289,
      0.0361864902079105,
      0.0156891252845526,
      0.0449898429214954,
      0.0183990709483624,
      0.0288880430161953,
      0.0342958495020866,
      0.0190019849687815,
      0.0398933328688145,
      0.0167988296598196,
      0.0306987650692463,
      0.0317312218248844,
      0.0169154442846775,
      0.0386660657823086,
      0.0127161461859941,
      0.0363391786813736,
      0.0227147694677114,
      0.0248845759779215,
      0.0568890571594238,
      0.0640550181269646,
      0.0729851499199867,
      0.0513380244374275,
      0.0163414031267166,
      0.0434171631932259,
      0.0626491531729698,
      0.0727381110191345,
      0.0499676167964935,
      0.0146853849291801,
      0.0499987713992596,
      0.0590487085282803,
      0.0750499591231346,
      0.0515723004937172,
      0.0147917326539755,
      0.0426619462668896,
      0.0323323421180248,
      0.075966589152813,
      0.0576203837990761,
      0.0177639853209257,
      0.0420562103390694,
      0.0578641220927238,
      0.0767775177955627,
      0.0531489551067352,
      0.023097325116396,
      0.0339735224843025,
      0.0668129846453667,
      0.0896269455552101,
      0.0416115894913673,
      0.0377863124012947,
      0.026435999199748,
      0.0815811678767204,
      0.0655846744775772,
      0.0193157661706209,
      0.0583513416349888,
      0.0249652601778507,
      0.0358051508665085,
      0.0423992127180099,
      0.0318451970815659,
      0.0438911914825439,
      0.0425202548503876,
      0.0656046271324158,
      0.0693731755018234,
      0.0162872951477766,
      0.0371767431497574,
      0.0539270639419556,
      0.0515808053314686,
      0.0666789636015892,
      0.0165908169001341,
      0.0373855940997601,
      0.0574293211102486,
      0.050786517560482,
      0.067360132932663,
      0.0164651703089476,
      0.0363774299621582,
      0.0116428630426526,
      0.0561340972781181,
      0.0576605014503002,
      0.00912380404770374,
      0.0397731922566891,
      0.01503218524158,
      0.0274906922131777,
      0.0175590086728334,
      0.0136101972311735,
      0.0393654853105545,
      0.0219647213816643,
      0.0344794690608978,
      0.016555555164814,
      0.0119489841163158,
      0.0457709245383739,
      0.0214921981096268,
      0.0340895280241966,
      0.0139062060043216,
      0.00773236295208335,
      0.0397795513272285,
      0.0147853540256619,
      0.0332316644489765,
      0.00386153860017657,
      0.00857131835073233,
      0.0402940288186073,
      0.0540225207805634,
      0.075255498290062,
      0.0483241006731987,
      0.0225359555333853,
      0.0377739891409874,
      0.059653002768755,
      0.0764661654829979,
      0.0534914657473564,
      0.0294776074588299,
      0.0334217958152294,
      0.0637614876031876,
      0.0858830884099007,
      0.0349120646715164,
      0.0355330966413021,
      0.0205363463610411,
      0.0366591401398182,
      0.0830791294574738,
      0.0246318727731705,
      0.0394218638539314,
      0.0318358615040779,
      0.0722397714853287,
      0.0837708115577698,
      0.010756709612906,
      0.0475878044962883,
      0.04487095028162,
      0.0702612325549126,
      0.0799512192606926,
      0.0212891362607479,
      0.0453001409769058,
      0.0519676208496094,
      0.0690544918179512,
      0.0424427092075348,
      0.0180039647966623,
      0.064596451818943,
      0.018111202865839,
      0.0281772650778294,
      0.0349490381777287,
      0.0164680052548647,
      0.0458647757768631,
      0.0184429474174976,
      0.018227145075798,
      0.01825987175107,
      0.00481097679585218,
      0.0374859385192394,
      0.0155427977442741,
      0.0264627486467361,
      0.0113685168325901,
      0.00478350697085261,
      0.0405082739889622,
      0.0189686678349972,
      0.0344284810125828,
      0.00711469631642103,
      0.00437906477600336,
      0.0401370227336884,
      0.0142506342381239,
      0.0301522351801395,
      0.00260921567678452,
      0.00824627093970776,
      0.0433772318065166,
      0.0138627160340548,
      0.031839694827795,
      0.00700067961588502,
      0.0052770241163671,
      0.0404175966978073,
      0.0168966799974442,
      0.0333651006221771,
      0.00547610875219107,
      0.0104986233636737,
      0.037103682756424,
      0.0193682014942169,
      0.0336404964327812,
      0.00407926086336374,
      0.00214678980410099,
      0.00986876431852579,
      0.0117129748687148,
      0.000689894543029368,
      0.000338568963343278,
      0.0000457362875749823,
      0.00000313238069793442
    ],
    "harmonic_percussive_ratio_curve": [
      0.502378523349762,
      0.618275046348572,
      0.904527127742767,
      0.833926141262054,
      0.689880847930908,
      0.63124406337738,
      0.430779457092285,
      0.775723338127136,
      0.817369103431702,
      0.637224555015564,
      0.676218271255493,
      0.710135698318481,
      0.70719975233078,
      0.794283747673035,
      0.642791569232941,
      0.809418559074402,
      0.599783599376678,
      0.698455929756165,
      0.608426868915558,
      0.781087160110474,
      0.695460140705109,
      0.8073570728302,
      0.851077198982239,
      0.746130287647247,
      0.854199290275574,
      0.62597668170929,
      0.542096614837646,
      0.739307999610901,
      0.68740975856781,
      0.495527178049088,
      0.74117124080658,
      0.635093033313751,
      0.70075798034668,
      0.714628040790558,
      0.837698817253113,
      0.70484471321106,
      0.586097657680511,
      0.674898982048035,
      0.551694214344025,
      0.790363490581512,
      0.800329387187958,
      0.884398221969604,
      0.678012371063232,
      0.853477001190186,
      0.587474703788757,
      0.827731966972351,
      0.82446163892746,
      0.665660083293915,
      0.801665008068085,
      0.560014843940735,
      0.794739246368408,
      0.707755267620087,
      0.690707325935364,
      0.80169689655304,
      0.546895027160645,
      0.758856654167175,
      0.777890145778656,
      0.742959499359131,
      0.786221563816071,
      0.544954657554626,
      0.804410636425018,
      0.748551845550537,
      0.770150303840637,
      0.766461968421936,
      0.675284683704376,
      0.702880203723907,
      0.690269649028778,
      0.758139848709106,
      0.784476399421692,
      0.583093166351318,
      0.725566208362579,
      0.714433670043945,
      0.755328416824341,
      0.854944407939911,
      0.644299209117889,
      0.778803765773773,
      0.707343935966492,
      0.801439940929413,
      0.723365783691406,
      0.61113178730011,
      0.818050384521484,
      0.829940915107727,
      0.843698501586914,
      0.712403059005737,
      0.71615743637085,
      0.768294811248779,
      0.779291033744812,
      0.850898385047913,
      0.772350192070007,
      0.695141017436981,
      0.720510303974152,
      0.743877530097961,
      0.776674389839172,
      0.634593844413757,
      0.633841037750244,
      0.496793836355209,
      0.745013892650604,
      0.838315665721893,
      0.606988251209259,
      0.761606276035309,
      0.819350302219391,
      0.810212075710297,
      0.897047758102417,
      0.658473074436188,
      0.739036858081818,
      0.797547221183777,
      0.805971503257751,
      0.908343076705933,
      0.67108553647995,
      0.728345096111298,
      0.788218796253204,
      0.796961545944214,
      0.727993369102478,
      0.713030397891998,
      0.876618683338165,
      0.570140540599823,
      0.49986743927002,
      0.614921391010284,
      0.604847729206085,
      0.6407710313797,
      0.847385764122009,
      0.845182776451111,
      0.815725445747375,
      0.666671514511108,
      0.707682132720947,
      0.786565244197845,
      0.847712576389313,
      0.887216866016388,
      0.61638993024826,
      0.674486875534058,
      0.78093558549881,
      0.812048316001892,
      0.742518603801727,
      0.55189049243927,
      0.62648344039917,
      0.701782286167145,
      0.819605708122253,
      0.882233917713165,
      0.554519534111023,
      0.719571113586426,
      0.692698061466217,
      0.890253603458405,
      0.66730260848999,
      0.5769402384758,
      0.640017569065094,
      0.654041409492493,
      0.837967813014984,
      0.742895424365997,
      0.67226779460907,
      0.702408671379089,
      0.676859021186829,
      0.729937493801117,
      0.791405022144318,
      0.756510019302368,
      0.732125341892242,
      0.538723289966583,
      0.63493812084198,
      0.569988667964935,
      0.559497237205505,
      0.80907541513443,
      0.83074015378952,
      0.899547755718231,
      0.698837876319885,
      0.650472342967987,
      0.784747719764709,
      0.792943835258484,
      0.944615483283997,
      0.698730647563934,
      0.716328859329224,
      0.801862895488739,
      0.793211698532104,
      0.858274161815643,
      0.656227469444275,
      0.717488169670105,
      0.612997472286224,
      0.781661629676819,
      0.843502223491669,
      0.678387343883514,
      0.759291529655457,
      0.843038260936737,
      0.837985634803772,
      0.885533571243286,
      0.694704532623291,
      0.714945912361145,
      0.822885990142822,
      0.830295741558075,
      0.888640701770782,
      0.616227447986603,
      0.739181220531464,
      0.764820635318756,
      0.870375037193298,
      0.721825480461121,
      0.756596267223358,
      0.761637449264526,
      0.581474006175995,
      0.644404172897339,
      0.605244517326355,
      0.561769127845764,
      0.795876920223236,
      0.645368874073029,
      0.779689431190491,
      0.691167831420898,
      0.610763132572174,
      0.750957608222961,
      0.625531792640686,
      0.765402555465698,
      0.678059697151184,
      0.606072783470154,
      0.633733987808228,
      0.588854372501373,
      0.756332457065582,
      0.602622270584106,
      0.651257574558258,
      0.693135380744934,
      0.630357265472412,
      0.793924987316132,
      0.518827974796295,
      0.745134294033051,
      0.752416849136353,
      0.647308588027954,
      0.754792511463165,
      0.689899146556854,
      0.738513648509979,
      0.730391561985016,
      0.627712905406952,
      0.709945201873779,
      0.648334920406342,
      0.710536539554596,
      0.756944239139557,
      0.623351752758026,
      0.725540280342102,
      0.630352139472961,
      0.814337253570557,
      0.780477404594421,
      0.604665338993073,
      0.668709874153137,
      0.547916412353516,
      0.767440140247345,
      0.840030193328857,
      0.843729138374329,
      0.830050945281982,
      0.645528733730316,
      0.767937421798706,
      0.798840820789337,
      0.819168567657471,
      0.888665795326233,
      0.67872142791748,
      0.788171291351318,
      0.772098004817963,
      0.812902927398682,
      0.775819599628448,
      0.559744000434875,
      0.534873306751251,
      0.664110839366913,
      0.84147435426712,
      0.776208519935608,
      0.625692069530487,
      0.832820773124695,
      0.781873524188995,
      0.863889157772064,
      0.821749091148376,
      0.673177897930145,
      0.823469460010529,
      0.799487888813019,
      0.839477062225342,
      0.851635873317719,
      0.639031171798706,
      0.768481194972992,
      0.731531381607056,
      0.805454790592194,
      0.657198548316956,
      0.82444179058075,
      0.702331066131592,
      0.518835842609406,
      0.588262021541595,
      0.628151178359985,
      0.545237421989441,
      0.805644154548645,
      0.817768454551697,
      0.866121470928192,
      0.679515719413757,
      0.779684245586395,
      0.749611973762512,
      0.761710464954376,
      0.901814222335815,
      0.750230133533478,
      0.655951976776123,
      0.766386210918427,
      0.770146131515503,
      0.832245349884033,
      0.603184103965759,
      0.666119933128357,
      0.572330951690674,
      0.791421711444855,
      0.912181496620178,
      0.670105278491974,
      0.75692892074585,
      0.713714838027954,
      0.698564052581787,
      0.729300022125244,
      0.536839604377747,
      0.685011327266693,
      0.629259288311005,
      0.712230622768402,
      0.742345571517944,
      0.590729832649231,
      0.766424298286438,
      0.65549898147583,
      0.669287502765656,
      0.726247608661652,
      0.654349744319916,
      0.813966572284698,
      0.566973984241486,
      0.64055985212326,
      0.565803945064545,
      0.501538097858429,
      0.696077227592468,
      0.834502339363098,
      0.866447329521179,
      0.860395312309265,
      0.639952778816223,
      0.69852077960968,
      0.786210358142853,
      0.861196875572205,
      0.919458210468292,
      0.621734619140625,
      0.774934768676758,
      0.782905220985413,
      0.822990119457245,
      0.851632595062256,
      0.627521216869354,
      0.606472730636597,
      0.693757355213165,
      0.813657283782959,
      0.843454897403717,
      0.649298965930939,
      0.82000994682312,
      0.808489322662354,
      0.865472793579102,
      0.823055922985077,
      0.683040022850037,
      0.782413482666016,
      0.7852783203125,
      0.866381049156189,
      0.735678791999817,
      0.707391917705536,
      0.759545803070068,
      0.775612890720367,
      0.79283744096756,
      0.692142307758331,
      0.880522429943085,
      0.678750813007355,
      0.549921333789825,
      0.561311781406403,
      0.591248869895935,
      0.706806302070618,
      0.852788209915161,
      0.850138783454895,
      0.894018530845642,
      0.694122731685638,
      0.68597275018692,
      0.846534252166748,
      0.819733500480652,
      0.933721542358398,
      0.735453426837921,
      0.66264671087265,
      0.860883355140686,
      0.8053337931633,
      0.884581446647644,
      0.659186661243439,
      0.824484884738922,
      0.75901210308075,
      0.836974084377289,
      0.919958412647247,
      0.653466105461121,
      0.825699508190155,
      0.757293820381165,
      0.77072662115097,
      0.765790104866028,
      0.676657021045685,
      0.706975042819977,
      0.687679946422577,
      0.755662798881531,
      0.784418821334839,
      0.58164656162262,
      0.729571342468262,
      0.709258735179901,
      0.753483831882477,
      0.856362760066986,
      0.649044871330261,
      0.798118948936462,
      0.701824367046356,
      0.859692871570587,
      0.714954614639282,
      0.60060441493988,
      0.823279440402985,
      0.830454409122467,
      0.859491229057312,
      0.761976957321167,
      0.64299613237381,
      0.77829521894455,
      0.775528252124786,
      0.853271186351776,
      0.804091691970825,
      0.69023734331131,
      0.760666191577911,
      0.755333244800568,
      0.868864953517914,
      0.679503202438354,
      0.713565826416016,
      0.592312097549438,
      0.754914581775665,
      0.901810765266418,
      0.681232929229736,
      0.723033607006073,
      0.82282817363739,
      0.811005532741547,
      0.951121807098389,
      0.641791462898254,
      0.659985303878784,
      0.820036768913269,
      0.800448000431061,
      0.896884560585022,
      0.653189659118652,
      0.702513575553894,
      0.796741962432861,
      0.794191837310791,
      0.739513337612152,
      0.699972808361053,
      0.873695194721222,
      0.697635352611542,
      0.492016196250916,
      0.582353115081787,
      0.5473273396492,
      0.687409281730652,
      0.772508502006531,
      0.733079016208649,
      0.775186240673065,
      0.59622997045517,
      0.755656540393829,
      0.711732983589172,
      0.769877672195435,
      0.843494236469269,
      0.594056963920593,
      0.68157559633255,
      0.617320537567139,
      0.808713376522064,
      0.768059492111206,
      0.555312812328339,
      0.729847252368927,
      0.661032378673553,
      0.829996407032013,
      0.674649298191071,
      0.56789219379425,
      0.788014888763428,
      0.698354721069336,
      0.787297010421753,
      0.716649889945984,
      0.625188410282135,
      0.73921811580658,
      0.646732807159424,
      0.836212277412415,
      0.785017132759094,
      0.608859539031982,
      0.688799142837524,
      0.618433475494385,
      0.852991580963135,
      0.881863474845886,
      0.84538060426712,
      0.806233108043671,
      0.95776641368866,
      0.958024978637695,
      0.882158935070038,
      0.668729543685913
    ],
    "mfcc_curves": [
      -594.454480473939,
      -558.003563779548,
      -598.619851927362,
      -537.207849466278,
      -632.11123484413,
      -585.484080677433,
      -417.117304600824,
      -544.907023088695,
      -459.681883924152,
      -609.782675060111,
      -558.307599810681,
      -578.512381137855,
      -634.128561219951,
      -543.546433373662,
      -625.564144237661,
      -591.489443104266,
      -503.874642184728,
      -558.453137183442,
      -479.854442947445,
      -600.217337452426,
      -485.389195131751,
      -626.642509343026,
      -559.253722009148,
      -518.917900732866,
      -598.744299090529,
      -450.029821165532,
      -505.496048482157,
      -426.987077320369,
      -430.405038931958,
      -514.770176334746,
      -590.069084281314,
      -544.320084269887,
      -534.378157905509,
      -528.333217709464,
      -656.926746693172,
      -524.021086495704,
      -491.543744790386,
      -520.573462826754,
      -415.296860933258,
      -599.38990625208,
      -580.150265537423,
      -652.044958219795,
      -435.737383537322,
      -668.738680807186,
      -440.14512162011,
      -571.626206681265,
      -533.428664986435,
      -339.816420626519,
      -594.452917763198,
      -374.285537644077,
      -492.847534739767,
      -568.466303483156,
      -377.312160675764,
      -620.837009018927,
      -358.730024230286,
      -523.981380794131,
      -531.963213761224,
      -431.474192906969,
      -654.285478981895,
      -333.886064614667,
      -458.887914641827,
      -309.488314330597,
      -320.908605526334,
      -341.793505825227,
      -240.934962794286,
      -368.682123247384,
      -234.663344408962,
      -339.244025179477,
      -379.632407445482,
      -195.258191717549,
      -363.572040578425,
      -266.958031906341,
      -413.307004636754,
      -517.011754377241,
      -338.827379511229,
      -531.388507180596,
      -382.717453967996,
      -698.834511003898,
      -755.346120655452,
      -180.16901957932,
      -394.701125681026,
      -225.721682160574,
      -366.225421380955,
      -287.196250212463,
      -413.500858313428,
      -388.690434099135,
      -192.751639845472,
      -301.030943031234,
      -284.156236734029,
      -441.822400001866,
      -270.739053077977,
      -162.731879528273,
      -250.256967056889,
      -243.641934454854,
      -490.591150961001,
      -228.982252846682,
      -143.819436044129,
      -286.499328943678,
      -197.342614947293,
      -683.750171258139,
      -535.835015096701,
      -189.908552392725,
      -483.145788985816,
      -275.53858769071,
      -577.907478751641,
      -416.328268096591,
      -163.944031331879,
      -473.221771636784,
      -278.703533117561,
      -569.457068613647,
      -209.12860528792,
      -176.806395815687,
      -257.875576725191,
      -271.583455145527,
      -493.093611354246,
      -252.043158900319,
      -190.40557707403,
      -245.525859654843,
      -188.663394404954,
      -338.338118836207,
      -235.913779096246,
      -270.323465975366,
      -384.461382299581,
      -421.161230740923,
      -453.610696637033,
      -250.821768942764,
      -388.613830359375,
      -338.004380639319,
      -240.629715992783,
      -361.976015199477,
      -168.028138769709,
      -291.704981506563,
      -268.690202430345,
      -222.873149853921,
      -434.593950223269,
      -239.878419630334,
      -352.701047148656,
      -683.502611115264,
      -346.239831013286,
      -536.287577620248,
      -309.855283733196,
      -475.027124768539,
      -431.115190082644,
      -332.974410637254,
      -465.052070339628,
      -306.360497100689,
      -392.922527420151,
      -399.940662297396,
      -443.40865145863,
      -618.66540269,
      -291.129928851117,
      -434.603477567234,
      -431.357408352365,
      -468.908040573613,
      -569.33673203615,
      -288.474959849848,
      -409.452745831087,
      -240.117170893284,
      -152.796468435478,
      -298.433472317529,
      -209.204174292328,
      -449.500942117619,
      -336.373664469848,
      -384.278403121873,
      -347.598213726818,
      -207.81316506042,
      -422.1030278943,
      -309.892355005723,
      -487.425100906127,
      -460.424585168166,
      -240.827135059208,
      -431.132417916672,
      -340.493843426434,
      -406.986431428581,
      -444.249254319701,
      -237.606621262863,
      -308.054755611835,
      -344.211469428408,
      -402.076934933987,
      -428.783756070081,
      -243.062644436306,
      -421.275266956744,
      -313.215287180148,
      -314.918449564527,
      -298.900349991191,
      -243.686108630199,
      -363.166399116964,
      -313.250225323491,
      -407.096614973242,
      -324.864871235911,
      -375.481405687276,
      -431.748596322353,
      -273.531339020581,
      -436.056199135307,
      -266.374533543104,
      -329.808976986126,
      -373.750211884708,
      -170.853059414222,
      -523.445931914569,
      -360.813207655046,
      -530.649572123043,
      -586.436774644113,
      -369.533945877213,
      -541.384965696008,
      -261.894009507346,
      -457.135763625577,
      -565.522599107516,
      -294.726015884997,
      -490.555341256283,
      -297.786339075605,
      -495.47612333735,
      -516.80570433899,
      -327.860654722656,
      -523.243048769194,
      -308.04339623605,
      -528.034951995262,
      -460.375511268025,
      -390.179493077613,
      -380.216783801837,
      -208.037232622459,
      -316.474934101656,
      -232.102472105102,
      -332.364183017133,
      -334.276681857793,
      -179.259542053811,
      -330.630480274499,
      -216.788527759691,
      -287.911763586912,
      -370.031864453014,
      -225.001801763472,
      -407.020463617683,
      -289.276488528388,
      -521.916938634551,
      -503.944965134465,
      -336.171399928231,
      -646.631021610382,
      -299.720543331105,
      -368.548089222389,
      -347.81101203376,
      -204.153740404455,
      -383.79522936866,
      -301.116846190239,
      -662.673512609894,
      -450.094760446932,
      -255.081004861304,
      -360.479209705637,
      -312.869482103618,
      -673.102134597433,
      -262.864637382847,
      -289.659696336139,
      -305.417033092425,
      -227.358041505567,
      -401.742215155837,
      -203.693254111335,
      -340.234224430027,
      -300.118815417131,
      -399.199404850395,
      -736.350340052051,
      -269.261098227308,
      -337.637200038762,
      -402.215144938077,
      -418.358998910143,
      -729.124519771575,
      -255.719969234957,
      -351.225166998733,
      -415.978395521384,
      -361.008045986307,
      -512.440558870945,
      -153.782041767463,
      -343.691947446527,
      -294.526318479897,
      -310.486704773384,
      -340.661096819928,
      -189.387940483087,
      -301.602911158662,
      -276.15068323118,
      -235.636317845572,
      -464.471616435902,
      -251.622951322246,
      -384.293040692122,
      -315.85933260311,
      -590.57961460825,
      -499.80323330534,
      -284.988460679304,
      -388.69929507899,
      -339.697239236887,
      -291.208082204948,
      -308.683102106076,
      -155.905301260418,
      -305.860595677555,
      -166.289069580053,
      -427.069581721313,
      -351.087055379879,
      -225.788452463138,
      -432.655237236616,
      -270.853502077966,
      -539.403722565683,
      -430.873329774078,
      -277.507444531654,
      -393.75904408923,
      -263.65179397314,
      -490.312739304918,
      -349.355479082654,
      -251.224689875885,
      -318.435117496092,
      -328.155023846187,
      -622.60984199026,
      -389.607907104457,
      -281.013483302002,
      -389.424733697059,
      -333.12523803219,
      -570.768282992059,
      -329.707547325701,
      -340.885563646477,
      -279.07737222211,
      -117.621845329373,
      -239.009822565817,
      -246.675667966267,
      -332.488627429369,
      -449.550485602876,
      -333.717897257367,
      -349.833486083276,
      -243.690769370257,
      -324.989943124179,
      -494.098513962651,
      -296.26156498968,
      -476.65942490187,
      -269.341179925375,
      -389.493842566113,
      -514.002317939551,
      -288.613297697662,
      -386.941900676545,
      -258.98984138163,
      -348.033650720733,
      -453.128771849698,
      -247.212358179087,
      -444.343904991031,
      -261.798746476118,
      -393.517922488603,
      -409.941086208435,
      -291.745432713336,
      -335.824306137671,
      -188.072502357524,
      -330.209637609067,
      -329.450617035839,
      -432.272803106269,
      -373.783594057796,
      -230.995634302712,
      -437.738050811183,
      -364.412972246242,
      -402.524537461217,
      -367.949825699178,
      -232.054359229522,
      -338.039321754351,
      -275.284000629883,
      -353.201232622589,
      -380.068239610953,
      -248.549662573307,
      -342.702861738729,
      -242.057088994289,
      -361.391833904268,
      -362.893383701488,
      -212.55364727505,
      -353.508153698441,
      -240.863626064456,
      -320.942616373244,
      -401.671331677627,
      -251.200599622026,
      -426.458561840807,
      -261.350375378055,
      -393.766912760871,
      -405.24697698969,
      -350.583849931145,
      -608.93145308481,
      -255.147813208905,
      -403.114196238239,
      -299.027755381386,
      -320.598571279454,
      -341.515167974989,
      -242.781874295291,
      -371.637399286451,
      -239.110678722034,
      -339.196687177743,
      -379.844500857866,
      -199.13088409029,
      -368.87565076765,
      -270.909753970964,
      -412.166247896798,
      -517.655505077775,
      -346.293314908465,
      -548.291441323835,
      -389.331348155545,
      -771.50712990286,
      -793.566175397604,
      -202.755757638206,
      -377.82196502923,
      -255.910937678356,
      -481.899158720981,
      -505.562076325038,
      -347.195773528244,
      -421.396435466738,
      -340.68849982063,
      -409.23844668699,
      -373.287628539486,
      -386.903411555615,
      -338.375520583276,
      -303.849156723291,
      -571.778769644636,
      -389.931716223855,
      -558.870858510207,
      -473.1507239598,
      -322.535285170935,
      -518.854934650772,
      -321.222504350013,
      -484.864758555277,
      -341.987589718692,
      -190.143351664864,
      -557.08138427509,
      -251.67182997307,
      -473.159498849539,
      -507.152601954899,
      -228.085912266251,
      -472.733269653745,
      -269.669744240216,
      -402.662243949955,
      -350.75942877984,
      -240.591742814031,
      -453.769025293174,
      -330.387561391164,
      -515.909813511878,
      -417.739979099164,
      -308.819495881145,
      -407.193068754334,
      -237.541732968122,
      -401.18205505627,
      -503.667269906791,
      -512.999061545645,
      -705.548472322888,
      -360.578257375875,
      -546.310673642754,
      -461.213084929313,
      -595.964531259037,
      -697.038500109888,
      -363.103434824671,
      -573.574223396204,
      -428.055524525171,
      -654.61768116696,
      -712.565423886271,
      -398.589390550296,
      -631.657397237293,
      -460.650861355102,
      -722.827389922919,
      -544.826665864952,
      -312.70070659137,
      -543.055494355154,
      -407.319820780843,
      -658.925267343967,
      -711.136991271205,
      -332.38191698331,
      -586.100445131041,
      -401.247026965376,
      -680.724620919672,
      -683.675118213521,
      -372.982573252772,
      -615.294457140212,
      -437.58913040023,
      -746.919002734089,
      -856.84399739886,
      -846.116904108554,
      -836.817528723059,
      -885.513176362947,
      -896.804534968037,
      -915.600229831503,
      -920.928807185154,
      111.485723933848,
      69.7821629840869,
      145.943689665441,
      147.400425467821,
      99.6739884062796,
      139.596176238975,
      86.7281276808116,
      91.2144027767241,
      51.937057850507,
      59.2662360844438,
      112.207409667596,
      95.4662457978295,
      69.1524009902281,
      93.9260584848356,
      94.6723871297929,
      60.8562185337282,
      135.008547327573,
      127.983663368879,
      89.9947941559618,
      125.153703881269,
      121.348773578094,
      57.1961298128347,
      87.9981714481741,
      105.892237790349,
      156.881483333185,
      97.8086621051413,
      148.728227602635,
      67.3215963119572,
      67.2571801317763,
      103.993327129696,
      118.621586266431,
      118.888518199349,
      46.7980243502684,
      100.702403262195,
      88.6768541210192,
      93.5967024417893,
      148.050975203829,
      115.270545449939,
      62.8647832825341,
      98.5517673889998,
      84.5900053434388,
      82.5400687522999,
      87.6712625099672,
      59.0665838007102,
      111.877480154413,
      104.90597762018,
      115.614932659077,
      110.247873851013,
      91.9789894108153,
      128.312619912559,
      111.277476400799,
      104.574380232648,
      107.454525926507,
      90.5633945998036,
      133.403889360619,
      120.572046831818,
      97.4592325117896,
      89.6402635677439,
      67.5215377323942,
      129.561751995852,
      101.004795712913,
      70.3396032390326,
      104.371860014444,
      95.2000102228937,
      113.374367143063,
      128.693016910518,
      110.65054047018,
      109.702214171752,
      106.663796659838,
      124.101918358359,
      118.134469442999,
      80.3051181526526,
      91.1866229180108,
      57.1383866112188,
      120.643720957944,
      127.425927457134,
      114.104052354221,
      114.246259195635,
      86.8250576097564,
      148.014564372961,
      54.6871572896473,
      121.69275307101,
      87.498455005851,
      24.5209774786673,
      32.584298774248,
      115.017388657225,
      84.7079495265062,
      39.7763036829707,
      10.574390507339,
      59.1417020157025,
      144.2837645191,
      124.905913365763,
      107.582758087932,
      116.745867374271,
      147.42853931977,
      95.3474067883329,
      161.749950756883,
      110.786103060509,
      124.264901139549,
      76.9470888934421,
      55.5009470128884,
      117.56822767059,
      161.211992878722,
      75.4412288984196,
      29.0594839147699,
      139.284826487682,
      156.719167809141,
      107.539246407044,
      76.5983166687134,
      -29.4335333871938,
      73.3450767401909,
      143.809886690145,
      102.880300522538,
      122.53500720213,
      69.8911523819361,
      79.0094126627938,
      139.631407225239,
      98.2300081428658,
      133.740239659417,
      144.044123095922,
      77.0470752354616,
      136.663152175055,
      35.1312121871405,
      137.061801235642,
      118.17804364065,
      94.7078138599374,
      96.3897282414458,
      73.2568402277489,
      102.518655543929,
      200.924339268051,
      183.215123868655,
      151.179588964689,
      111.264440193748,
      166.843773379784,
      180.724741059342,
      145.855853329313,
      108.641237141847,
      39.1668049727897,
      141.468840913753,
      162.316552259279,
      113.292445671825,
      82.1724394959753,
      49.6364082902819,
      118.831066396904,
      143.253689909574,
      162.864505998605,
      129.125041371277,
      105.484544167899,
      137.079651206044,
      188.310588519777,
      153.208467141467,
      111.653477421761,
      86.5668487306473,
      113.06522901616,
      119.344672821232,
      210.415603425249,
      191.617257811927,
      191.60853514934,
      216.712303475928,
      199.412970044379,
      179.269928566807,
      143.535163126339,
      113.504926173425,
      87.7249525382484,
      158.36012091714,
      110.063340733302,
      82.7119943147157,
      96.2073691111186,
      136.218625273211,
      164.835498614158,
      110.490465729773,
      122.153205818571,
      113.365666541961,
      119.665062296478,
      180.90999914251,
      100.983746893598,
      110.663331100877,
      151.0354629147,
      118.329140489665,
      150.483297007248,
      148.629698104836,
      103.642736303337,
      173.453725332189,
      88.6071855049337,
      154.812727853168,
      105.678408822897,
      83.7835705829199,
      162.506576872638,
      157.573611792896,
      161.335211587601,
      108.879291685672,
      79.6304627919965,
      149.439179212066,
      162.44938087851,
      158.404190579342,
      69.6329303932672,
      121.667198734977,
      145.638697471708,
      168.584174540158,
      82.7075953182911,
      57.7201386028514,
      45.3645805034243,
      128.506613255554,
      133.629240808467,
      105.949479993598,
      78.1100741620661,
      86.8389076857339,
      128.573194497031,
      136.500278095537,
      100.371329706487,
      83.9081217256635,
      82.135415779511,
      135.049693815306,
      141.69067036625,
      96.4149778760116,
      52.8560495084297,
      80.1474571759863,
      120.383391659205,
      89.343513684193,
      96.3876346277936,
      92.1494033843782,
      87.906696048359,
      115.066323541944,
      126.810578731028,
      107.810266440861,
      105.124673267756,
      96.7824239046749,
      117.293761578317,
      92.8815183977684,
      95.7001759213032,
      86.1108813275862,
      76.0883008590713,
      116.838798596473,
      109.403362175481,
      106.484414126209,
      100.177927243596,
      94.0311780699045,
      129.443816424062,
      94.5067632514419,
      98.4382915058168,
      85.7135382027899,
      62.0277180246426,
      36.2239547006891,
      68.3726415113847,
      124.352718466993,
      86.8774321223899,
      67.3384303603676,
      41.1344893988364,
      187.752804714736,
      142.507233011708,
      86.9749279087558,
      112.534987877545,
      127.31542014584,
      129.891415553533,
      164.816480726043,
      132.7170204169,
      87.7764847012739,
      88.3328398426644,
      154.514022291096,
      36.5737804970338,
      87.8257763909967,
      91.6777524743898,
      89.3113132239685,
      141.13149114575,
      130.598853209693,
      91.6251414551914,
      124.617027262404,
      145.257282972329,
      170.980050305237,
      143.21334248019,
      95.7652657460549,
      60.5292219244979,
      187.703556670404,
      162.281704451894,
      110.010691034644,
      100.382959079079,
      107.132707492422,
      104.248799173703,
      182.051443671745,
      107.302538948366,
      106.525305583038,
      91.3265664143069,
      125.06885812026,
      156.130659593303,
      159.630668093879,
      135.482779129141,
      182.68961005509,
      194.665754130579,
      156.023249857622,
      162.998912073582,
      138.357649224429,
      65.1396695691903,
      172.43162639526,
      149.674011554471,
      124.87274658116,
      134.02930898575,
      138.124511610269,
      133.71026430733,
      85.5148023959656,
      80.4555788985283,
      77.9301824420545,
      111.739672026194,
      146.41394210123,
      115.470534917526,
      119.860698673107,
      127.668939212389,
      151.906111249386,
      159.678885195823,
      114.951762334636,
      72.4481086359958,
      111.776790038576,
      94.5285500063959,
      147.025245547751,
      185.862928675132,
      169.7902361166,
      199.949696390394,
      208.065575095295,
      194.521669458152,
      162.792738848911,
      96.8363078795834,
      148.438299161302,
      117.964350749896,
      132.494770322973,
      73.9571546806291,
      68.256603276708,
      144.673079693781,
      157.541864319934,
      133.624153792971,
      113.537326551272,
      102.508497781652,
      123.068320795758,
      153.058357159384,
      169.400823787359,
      83.3557137787003,
      120.317194972635,
      156.83851158775,
      118.564155419024,
      151.313130566781,
      120.17253841089,
      141.198422880577,
      100.746711084127,
      154.306799271035,
      140.306607642166,
      90.5620417976519,
      110.016583904607,
      162.64614262737,
      167.391978342142,
      115.311111490592,
      123.828141058671,
      104.585785348678,
      145.973196712088,
      170.220857003645,
      125.185193637238,
      97.4602542050108,
      120.195338421826,
      174.03139395191,
      93.5654040720079,
      141.25100144655,
      119.046828532501,
      128.412820732437,
      123.884726855883,
      137.484002628214,
      147.888275698616,
      131.976352073363,
      125.040065968161,
      123.816040918664,
      98.897399044187,
      133.124065702735,
      120.818875595308,
      123.676083877441,
      122.556292854565,
      115.250863969216,
      128.399714389868,
      108.686132430709,
      109.324096803662,
      78.7083861088643,
      54.2998398995616,
      100.657799072398,
      96.8155713092837,
      111.881206317402,
      123.142306703869,
      106.412238082153,
      109.742696061795,
      105.10668729058,
      120.315316384725,
      109.603965119232,
      75.5746011694139,
      90.3705514243055,
      55.4907149005337,
      110.574170237807,
      106.436198421641,
      106.936552321615,
      79.5382143105868,
      37.0179531013101,
      117.958339983115,
      71.8396456302517,
      178.991086311891,
      105.225855670963,
      134.625617759737,
      108.343248613933,
      100.436730174036,
      159.005020762733,
      33.5334722916746,
      133.360816720014,
      141.239235642837,
      107.137422683788,
      114.722445559291,
      75.322295400834,
      97.6765315988236,
      104.091347637052,
      75.9781555722911,
      106.968486429881,
      60.4369656648499,
      78.289064789572,
      72.290224800583,
      107.507945363678,
      132.710629152347,
      95.2899459894306,
      84.0664258360375,
      70.9618286223072,
      136.471490481152,
      105.351483113475,
      74.5349098085452,
      145.617809426415,
      102.913797500725,
      126.449322718464,
      129.992104557563,
      63.54333902208,
      128.371509597482,
      72.3576995013559,
      156.383466825915,
      -39.8737003106297,
      -7.25067800660594,
      111.219830879155,
      176.980988246052,
      78.9195526649765,
      81.695031016981,
      59.2942925707627,
      156.009588530009,
      158.904925201619,
      82.9551228557151,
      80.082818345084,
      70.7083205610265,
      151.106208079703,
      156.582970348494,
      81.3987446265675,
      51.0428423243164,
      61.2820325811558,
      174.152630773543,
      157.181210089376,
      83.5972425330879,
      36.0493003483963,
      -5.10383523363321,
      184.452828277732,
      143.410840618892,
      74.4592140153484,
      55.8767392343495,
      51.7662814335533,
      171.284896483516,
      121.250729115938,
      90.2380784230784,
      51.4726452220372,
      89.048907207009,
      160.893402829257,
      121.990583272642,
      84.5178570601496,
      40.6334543703218,
      47.5859321339506,
      89.868909359754,
      101.943271043752,
      49.5096322559632,
      33.8563351608305,
      7.5055240838704,
      0,
      34.5976734299405,
      82.3681850335288,
      85.6355195334994,
      87.2326504119165,
      74.2155189292646,
      77.2517716545098,
      29.0137359858081,
      15.4981838731749,
      -23.1934880131499,
      18.7667795544308,
      22.8123441790303,
      3.13693986335427,
      9.25869439449011,
      -12.4115592021357,
      15.3956653535196,
      6.47966932050556,
      13.0431017856368,
      27.4174930760046,
      6.62927914855624,
      4.81006805231158,
      -2.58373892409893,
      33.2610644983929,
      46.7343552257633,
      68.6958544791814,
      79.6974198225396,
      38.9469971367904,
      37.603169395129,
      -35.4612738046384,
      -40.8723601083613,
      9.14809020375365,
      -5.29802659869017,
      -5.59390376445346,
      10.2672248680858,
      -33.5933445402442,
      1.9763928141012,
      -0.994734030036785,
      21.4330849724975,
      12.7920214629968,
      -2.39860747198252,
      15.4937793496714,
      38.0368789032402,
      55.292953381332,
      35.3787297958705,
      37.2705458120805,
      14.0687139764107,
      63.7146730547334,
      46.5962244668286,
      -3.41971273419103,
      41.3424088426452,
      13.4423108076282,
      34.1333821742319,
      70.1343969216225,
      39.2357255266578,
      68.4397223123265,
      15.1616756368884,
      6.53749608808721,
      45.4905417697876,
      -8.66433915639072,
      8.50435376709013,
      -3.63318985168886,
      17.7871898148349,
      27.0703426290341,
      14.4091505363216,
      0.269678399610874,
      17.2747127824471,
      86.8433232453517,
      2.41433598661143,
      28.7357225990236,
      54.7104587950662,
      30.0736834825025,
      89.7879291421038,
      50.8729324721606,
      66.8372625543698,
      91.5132785788184,
      90.8610664497893,
      112.170300480374,
      48.4980298579108,
      104.111421702122,
      88.6689325346151,
      33.0451905724831,
      63.274789459485,
      -9.28286417194875,
      34.0377280934834,
      -41.2270929816152,
      41.6520714077645,
      35.619001807839,
      -14.9317412526702,
      33.5865994047736,
      -16.8432629080371,
      77.3293032030274,
      43.7998122141784,
      11.5695269669259,
      25.4732976296831,
      29.2555839950533,
      65.8085310954488,
      18.0180271597646,
      17.8422719950191,
      33.6339141083311,
      0.206723910875775,
      74.0261949255752,
      43.170057366104,
      8.17752595227585,
      8.62025016449601,
      2.70800445247586,
      80.4010003255792,
      61.3365149773232,
      -6.56599945226471,
      32.6789858504868,
      24.4662504277969,
      75.5610404743478,
      -0.369475984894401,
      8.33855124864477,
      -17.7537268397484,
      33.1141179481923,
      69.3492894149016,
      20.5927443701943,
      2.52516572735505,
      -33.8137356882289,
      -9.14140261150943,
      33.3716214808041,
      -13.9852481448131,
      15.8305929137116,
      11.7805186730847,
      45.0329454531714,
      46.0970895055787,
      12.3985223711141,
      21.7292404842329,
      13.5231802984974,
      47.9821275094186,
      70.5218738165759,
      26.1219291735361,
      33.5585051821642,
      -13.2281499563929,
      43.3166374669283,
      101.896870633738,
      49.0166739342444,
      67.4899838196033,
      -3.19586123877662,
      79.880670321625,
      67.2240413029822,
      12.7632499579886,
      11.5205612597687,
      -2.498493359468,
      36.4602205154736,
      68.7812919516801,
      15.0548212690197,
      4.75204897134201,
      11.0946665505396,
      69.0680563292001,
      82.1308479973421,
      -2.25888428467443,
      -36.1971541326994,
      -37.016680571045,
      23.5386204919401,
      81.14147678403,
      34.691756457389,
      8.59565317595552,
      -30.4044061341249,
      -4.99588010801845,
      63.2170076475769,
      34.2692494024609,
      77.803594887402,
      12.1740509732809,
      69.2723936756792,
      61.4670399074667,
      -6.78343910113966,
      19.5112795113168,
      5.60447634018513,
      69.0310382241478,
      64.1766765158829,
      19.7837433027493,
      15.2604540790092,
      6.77001159140043,
      60.1931440236054,
      68.8776567461572,
      35.1361160228534,
      -12.5470430330008,
      19.5437621790705,
      54.1602906532918,
      84.4969029810508,
      51.504885376357,
      39.7455518713867,
      60.9893877521237,
      43.5318327252144,
      37.1369462073249,
      -11.9803466484245,
      -22.2734726575758,
      43.8289599572092,
      47.7192475525869,
      43.6667492410838,
      16.7576035044653,
      -23.9349746478646,
      39.3805050680243,
      84.6155674744511,
      29.6366753691216,
      29.1716618210114,
      -12.6756543920482,
      20.0509356413712,
      68.4898765187756,
      -12.7714494293694,
      0.862615856835703,
      -32.121744918226,
      35.5656009089032,
      78.0958113816003,
      -37.0535320897542,
      -19.6844756420009,
      -6.21898142385869,
      19.955984160408,
      57.5664717022213,
      -2.79823722576704,
      18.8666006673633,
      7.63552714670119,
      -0.290170708195387,
      36.788742042499,
      -15.1462036289071,
      -39.6002754075857,
      -30.6013967420705,
      -0.572212694771908,
      25.3353175856277,
      -9.68536399519674,
      -2.53001091673331,
      -34.2039677797692,
      59.590523149769,
      39.702312315949,
      -12.6116812176163,
      31.918666074388,
      -6.53091999155008,
      49.6001025636948,
      74.5700724755181,
      16.8582840707597,
      56.988592293288,
      21.2251649155584,
      123.559781326646,
      62.6844065859812,
      12.0873770349425,
      31.1943141655037,
      15.393059484577,
      64.2031269406382,
      55.1730836440633,
      39.2658004195665,
      1.83374687196315,
      27.8990299793173,
      75.5086052349912,
      79.5457046340479,
      22.5553154493892,
      -31.0169431987703,
      29.0630007575121,
      85.4926294494798,
      52.5448920987501,
      59.7696998880599,
      0.762111703327491,
      37.454529654263,
      58.6997801440849,
      36.8894909787632,
      56.1464304944265,
      9.69191006836304,
      62.1455479912229,
      95.6609548619965,
      36.8026246543898,
      19.5844244457915,
      -11.8812922987411,
      28.0283191671133,
      90.1959802589533,
      15.6978792786666,
      32.598192317013,
      -46.8463530382915,
      45.46027168383,
      79.1409625802265,
      4.51405224668031,
      26.7423246234555,
      -7.69659228385699,
      59.2686653771292,
      46.8555046289772,
      0.96571559725723,
      35.0598775114387,
      -17.0467481091297,
      9.22164968043,
      58.9760243479432,
      33.4175532129388,
      18.9531172899238,
      -18.2026883103085,
      42.4257962797472,
      83.7744798238743,
      24.0145197548359,
      41.6272531352832,
      -0.291182859754926,
      34.0408358933495,
      51.6506509999874,
      -6.39211716355385,
      -0.778975280055457,
      -10.0304064615595,
      93.9016248163784,
      60.9599629444102,
      34.5631105940521,
      77.3924746824246,
      55.1140922776196,
      87.0723875059614,
      10.5430564584423,
      -26.4225744371846,
      -23.3189467614821,
      -11.5665245527922,
      61.5182706813386,
      -1.95084225548323,
      -29.0831054547262,
      -27.2412828216035,
      36.5062385247168,
      84.5280253288489,
      -11.9231363532406,
      -41.7121970581795,
      -92.6674510427665,
      -6.19963702560958,
      48.9291070679997,
      33.87780316303,
      -5.96544184079141,
      -65.3568391015254,
      -10.6823673719084,
      31.2320246597743,
      51.8275273870653,
      58.7431563413476,
      28.8118617143874,
      67.3084678903056,
      66.8485387273225,
      16.6730478244991,
      -7.25521893136183,
      7.67874195205413,
      53.5541449045131,
      76.1486561510035,
      12.9307282358771,
      21.1218684377488,
      13.9285959115549,
      51.0236741463787,
      59.7389419998682,
      23.6675440933776,
      41.2319176087624,
      -4.47291267143526,
      30.5590730943116,
      77.0492719649282,
      41.0805991107767,
      69.8071998320706,
      50.3428398723928,
      46.645706024254,
      54.0225003338458,
      2.15801352433569,
      -13.8405525253782,
      0.719789364971384,
      52.9816038496059,
      50.7813485524309,
      23.0444164146261,
      4.61841189568648,
      -5.92964013626307,
      65.6614286860409,
      62.7389062734566,
      11.2950825685264,
      31.629250557412,
      -8.12086782911286,
      50.9049256797134,
      80.7885808277513,
      64.6405546213023,
      47.5572069581791,
      14.3223152609505,
      80.9005103109618,
      83.1933863143237,
      40.1199919574256,
      80.8296496478903,
      43.0514328816175,
      72.2125164027018,
      112.604865733909,
      72.7642857871522,
      107.60020612763,
      51.3522016062991,
      40.312504069703,
      59.2093198332662,
      39.7457882577444,
      53.3306286841571,
      16.0331746797689,
      29.4550396464468,
      14.5819615908774,
      16.1864329488096,
      0.564114904293899,
      13.6953992038904,
      82.0313734377525,
      -1.87414216022422,
      28.4419360685031,
      55.2906786391189,
      28.5485309953337,
      81.9801521877945,
      46.6398243762955,
      65.5450540761281,
      92.3593553559523,
      85.657801064266,
      97.5043166062278,
      42.7611613430264,
      72.4623302597306,
      50.1334441766359,
      2.75175331480419,
      31.9022982379802,
      33.7952779433007,
      39.8939169938301,
      30.640087299363,
      36.5338123211313,
      59.0979923265816,
      34.5957342111268,
      39.0111794706986,
      12.4195978120628,
      42.4818261349546,
      42.5331761497731,
      20.5246915305827,
      57.1145185416522,
      20.3688429823658,
      75.5679516545159,
      38.476046397332,
      20.8681087244153,
      -4.41000311629158,
      -14.8505564971697,
      56.8078916469653,
      39.6061333702277,
      21.4381079373243,
      32.7404021710678,
      -14.1718949328011,
      16.5999260362638,
      52.6390062504987,
      20.2254951591847,
      13.456095756077,
      3.38811349049867,
      -1.30175708727329,
      51.9356217799335,
      22.1965314910413,
      -5.845997396307,
      25.9168301711493,
      42.779390938808,
      13.9837220498701,
      -10.967805868182,
      -77.9036066469448,
      -10.1699372625505,
      38.4173030944121,
      74.5741878046857,
      90.1142769803176,
      85.6503324259462,
      22.8933328464979,
      68.5876395387014,
      68.7867713154004,
      93.3733716128571,
      91.8800690309518,
      30.1216673115983,
      98.2429533071515,
      83.4534345781519,
      111.502363538081,
      63.1487452474081,
      31.1256810287783,
      85.2515863448688,
      50.3107512627741,
      57.4853337082272,
      -53.7036901692951,
      29.7459668181398,
      77.9008919579803,
      55.8974548562835,
      105.147596506777,
      62.3134600845007,
      43.2892035643487,
      97.9433720554655,
      65.3835548628979,
      117.694378037162,
      58.8290609336391,
      57.086857760523,
      101.808798232543,
      71.4383943660912,
      93.1560872514997,
      53.4078517262369,
      73.6023418192836,
      82.0679952455457,
      47.8271825998476,
      33.0847199845553,
      7.41522828806781,
      0,
      52.616923695803,
      60.4788572551549,
      49.0651351189605,
      69.6707644658614,
      60.7912224334098,
      64.2949498724313,
      59.3855252952949,
      27.5744331326991,
      7.35416931692294,
      -6.82073144996459,
      15.2264701976375,
      29.3331503566773,
      37.0455906084843,
      3.45502733075965,
      24.6029706743579,
      11.7192662725229,
      33.448214109596,
      21.7987433173823,
      23.3186632105029,
      -2.37836936050752,
      30.612031333177,
      22.7465230693194,
      61.2399058745588,
      76.4909729384179,
      55.7140560073263,
      69.5599490591344,
      32.3235974567594,
      -8.14926029385629,
      -27.1948103026553,
      0.0249514211440366,
      0.0527119352990825,
      13.092053890961,
      26.2076442027684,
      -0.274845145191727,
      6.02750115526049,
      7.35423396400992,
      31.6126925720012,
      3.30922750396091,
      31.1935788370498,
      -10.6020704565351,
      30.4219876210975,
      43.9151206772061,
      35.6405556539655,
      53.231822243234,
      28.7953277904666,
      84.1714171515771,
      63.8359448791565,
      67.8793599279153,
      64.5725998769054,
      40.103328178962,
      72.508968186016,
      64.6510737687725,
      55.4602251744633,
      56.1312425665563,
      40.5029407665311,
      60.1789380154809,
      58.1117179930571,
      43.4200168583449,
      19.6263052243703,
      27.9440362658911,
      57.3754946167558,
      60.9343863381278,
      73.178433800885,
      61.1859290956853,
      66.5193197142811,
      64.1961154339604,
      55.0560268204216,
      68.6333445267216,
      39.9561168396721,
      56.9349178104383,
      66.2967446236121,
      60.2315013544242,
      63.5089181584437,
      58.0522432317917,
      57.4623232190635,
      72.0197288588268,
      63.8703174831175,
      66.8407226869587,
      89.2173282305876,
      34.0919151597388,
      73.6345256677587,
      66.6075329273604,
      78.2516496482823,
      30.9119248796634,
      66.0599678345595,
      71.0869976239451,
      79.3009943876745,
      79.5133840837853,
      34.9914565440037,
      69.3476374544659,
      70.1198528657863,
      69.5709978107044,
      66.2349786917986,
      38.4883272277995,
      72.3151640690321,
      74.2160151906756,
      74.7291352769325,
      52.8982920917364,
      44.2838986016795,
      90.6596234712963,
      92.2163000989597,
      70.9841624281777,
      39.2127486464665,
      51.9483991226423,
      88.4847798906159,
      74.9734631749474,
      66.5314711808777,
      71.7390156277265,
      58.5331788404048,
      106.058964154988,
      72.2923139063914,
      71.6616212484505,
      22.1517422955996,
      44.3000310439219,
      95.2521196566268,
      57.7040146006548,
      53.4992384183375,
      17.2668643867308,
      19.84453239166,
      76.3137485851451,
      76.2820100430705,
      59.5273116166234,
      48.8116479314428,
      55.1108386620073,
      90.9507656859991,
      80.7914050633975,
      86.0866590944659,
      72.0483660220895,
      82.0818142666144,
      58.6324204057307,
      61.5354790169644,
      63.9062527367869,
      34.0413990382922,
      49.6726214205662,
      59.9306844857277,
      67.2596120878185,
      86.7744205896658,
      37.5134676982461,
      95.770516001656,
      56.5200305398701,
      10.4015905146339,
      -19.6976410834751,
      35.198962416156,
      72.8596640172745,
      66.487253640185,
      20.5852159108634,
      13.4940834423065,
      25.174414664908,
      70.4028315157267,
      71.55523244588,
      9.62582193770258,
      11.1479016154856,
      3.78441010225238,
      33.3458929177507,
      32.5051239693445,
      -6.0612168387627,
      -12.1083057672374,
      -11.6714544144214,
      16.4601394681988,
      80.3753173658273,
      90.93402545331,
      107.347722948558,
      52.5397974678037,
      118.137929053837,
      99.6891559884973,
      66.3559317520045,
      43.1771981918541,
      51.6178191166614,
      81.2530160178203,
      112.745829403506,
      79.0875268965554,
      62.437214045243,
      59.4311475011225,
      85.0537170193281,
      87.9850150483231,
      82.4971423886827,
      53.4636407031532,
      49.1976112416144,
      106.339870308602,
      97.871751666696,
      110.54040483457,
      93.1310955233769,
      75.4572186280294,
      105.903509727591,
      73.480202378947,
      47.2406697769954,
      20.4451366469936,
      55.8667124535628,
      75.6276857020337,
      89.4596474085232,
      59.241607379483,
      44.3263481671323,
      65.820274467342,
      85.4790209016851,
      54.9239115555513,
      75.8406148286817,
      40.5807310575259,
      43.0757100510991,
      50.2915414284899,
      32.2823419071583,
      44.924286854126,
      21.6823403580915,
      72.1173902463672,
      73.7914128379439,
      49.3784777779317,
      78.2399873800077,
      32.3763386678925,
      74.3374991143628,
      71.3125414611654,
      51.0202446475506,
      66.0108305343585,
      33.1634753080478,
      69.6949439441089,
      64.4084248946574,
      49.0275282156499,
      38.9459861627969,
      6.47200861361512,
      52.3517463260975,
      66.291134021221,
      51.0704493410853,
      79.7972886219339,
      53.0338143778044,
      68.5312344598674,
      58.015785844654,
      59.4224966971024,
      59.3294792756704,
      41.8069393020553,
      60.3419297361368,
      73.0418178954961,
      52.3833132480042,
      65.9534209660123,
      47.8861016131074,
      55.8432825735452,
      81.246457072752,
      52.6899979085746,
      64.3603666325241,
      65.8450914075336,
      48.7045297178154,
      60.6444656869351,
      76.831442533524,
      42.0793278196993,
      35.9208929774687,
      99.1006433631833,
      79.4106332322898,
      60.8663485053932,
      35.3602635190632,
      50.7221734944146,
      111.656248762933,
      50.2855561301994,
      75.5713119003195,
      47.3466284632849,
      57.117014513397,
      96.7764482687315,
      59.90558165931,
      75.3342361276695,
      40.3974054798374,
      83.4279907362656,
      104.784244757487,
      55.4460181950399,
      78.642753581489,
      6.70904104231195,
      57.2722881029354,
      98.828495289768,
      78.2737149839916,
      53.6705098483416,
      31.1739724678261,
      64.8248635270443,
      89.4782974489794,
      59.0898577798265,
      40.0865358758762,
      41.2251254856646,
      84.7458985145743,
      41.4616233616421,
      35.0031334551966,
      29.7223532411765,
      12.6605532637131,
      -2.27831803722025,
      85.1211804247661,
      67.817487983929,
      49.373645739947,
      18.3983798596895,
      60.5479684484806,
      91.5807981529998,
      69.745704927454,
      50.5838056524351,
      43.4758904761943,
      49.9281746450103,
      68.0493986294165,
      54.4683679352451,
      23.9830650836541,
      21.7430370050109,
      97.4031006581911,
      47.2230622289181,
      78.2578748054871,
      81.1589638057882,
      69.1462917804491,
      83.6132235770643,
      26.2067175361218,
      6.63204087435233,
      -8.79651565372337,
      63.3956441006449,
      82.8450058333823,
      29.7633071526204,
      20.9038232931798,
      21.4447216941218,
      47.2608928699326,
      72.0534669534869,
      29.6544626930893,
      14.3285986470653,
      3.6083054842373,
      32.863311158511,
      31.6545983233464,
      12.442348045219,
      9.97257662463861,
      -8.85522815956705,
      22.2104194221075,
      37.1883616640748,
      83.145940019829,
      109.713435018353,
      80.1451204982394,
      88.4500916268901,
      110.39509754975,
      73.3668436203714,
      62.7964555813182,
      31.307285926581,
      76.7626061765783,
      104.690165825648,
      80.4947531926197,
      73.345444042664,
      58.8835494022145,
      78.8529097785736,
      90.0047118568727,
      73.3175030106152,
      86.2763044150714,
      33.3531137007338,
      83.6037049190989,
      104.427519051348,
      88.0965057452494,
      118.118357490482,
      77.3982176358925,
      95.9961007983938,
      91.4343825502622,
      58.9418687712497,
      30.6926659818098,
      33.8390957583386,
      58.2659604299411,
      97.5492988303733,
      76.831188650744,
      49.2224358552914,
      39.1915526775037,
      78.1989037010779,
      86.0433017217996,
      55.7620241732174,
      69.2949634675041,
      26.642228054016,
      53.2460447384449,
      101.917343694912,
      85.8633783595766,
      101.478033300969,
      73.4165766878586,
      84.3441143434147,
      82.948922575085,
      85.5057899637821,
      78.6733184329482,
      62.0992478974859,
      75.6875967386285,
      86.6252198787093,
      81.3326990275914,
      88.4017555883739,
      52.1581711672828,
      62.7593439804912,
      78.8233370027524,
      77.9325648124387,
      67.1793124864086,
      50.1406871427027,
      52.842434850705,
      53.7989460796575,
      71.2946200749898,
      59.6889477630269,
      62.6294493008341,
      59.3705877858212,
      51.4645277977362,
      69.1954769672485,
      40.7455391612811,
      55.4219836531485,
      62.9219781125598,
      57.1949284161887,
      63.6109587345082,
      57.4132804471942,
      55.2686665787604,
      64.0072403245714,
      61.5940223276711,
      49.2122964905207,
      64.5669134652584,
      3.42011869151597,
      88.8828803572325,
      67.0634153542451,
      79.7073812936764,
      45.5983088381672,
      80.8915772068061,
      108.863784369005,
      86.634800244505,
      109.341252217567,
      47.2991242328398,
      77.049000538455,
      93.2499420015156,
      80.1818270256028,
      98.9694303241632,
      38.2847123357896,
      107.328702969177,
      88.926236883532,
      92.9582565822121,
      77.352285715505,
      33.5673163788822,
      104.328450448098,
      113.830932640699,
      86.3313523931186,
      64.2066601575213,
      59.0479234999462,
      84.0573806142862,
      96.209240552878,
      93.2959036389067,
      68.6926961920423,
      43.5896364861207,
      75.86377448331,
      82.5675697304291,
      74.7554844516261,
      51.9399733704822,
      69.1988206007095,
      80.5512852752476,
      40.3973214853111,
      62.7682394796598,
      20.0495571289681,
      27.8813762962695,
      35.8480288632466,
      42.0981695068614,
      66.8670297676479,
      74.1286443919592,
      61.6766665300336,
      57.817888856709,
      66.3002376780709,
      67.9528747223296,
      78.4983372198188,
      73.3090789313995,
      85.6740415494398,
      78.4776395183949,
      93.6535398670769,
      62.6250427306009,
      59.1551068695365,
      37.9367727222922,
      44.8459309611123,
      37.633872241262,
      20.2363818943054,
      60.4782950529596,
      49.1236238685539,
      51.8624584265079,
      84.7407577776007,
      62.0694380419985,
      74.0061862349542,
      62.4758852459228,
      54.94392501366,
      80.5412248497723,
      66.5081274552511,
      90.7555360227037,
      84.1336516216131,
      68.1228390131068,
      80.3716554451127,
      48.4428486272321,
      69.2452501284187,
      74.0826314593689,
      45.1647997263697,
      31.8313328487991,
      7.26596489920673,
      0,
      4.53940866073458,
      14.6793674798817,
      9.61813555454429,
      12.4081971194109,
      -27.5712318738886,
      2.22649806061722,
      -15.516997586686,
      -29.0365635352221,
      -43.9584944024751,
      -49.1062805302554,
      -37.197858311008,
      -10.7097000814092,
      -28.4117425387901,
      -26.5395841547382,
      -31.0925991974888,
      -59.9885330053107,
      -57.4363803397805,
      -88.9901109859161,
      -66.6535780104446,
      -55.3731401951173,
      -14.6733954991865,
      3.46350737090694,
      -6.08723670936094,
      -7.47927328122395,
      -16.746870124906,
      0.299495421312228,
      -36.4170966684767,
      -61.619094598512,
      -62.3018135740681,
      -63.4366970065643,
      -45.9894612937935,
      -26.8302974118001,
      -44.0787919796237,
      -54.2818363367215,
      -24.3352820243365,
      -66.1089738816946,
      -62.9752384279823,
      -81.3513546494737,
      -82.2079943151415,
      -52.446111541758,
      -4.90313042356599,
      41.6287230573001,
      -9.44650418688828,
      35.5448429500094,
      -34.4735631624042,
      15.6914236319573,
      30.1486683078098,
      6.48333790755323,
      29.5763729377528,
      -27.5864965975001,
      41.6254051366292,
      27.1950559556272,
      10.366001481265,
      37.235515371455,
      -20.800065417412,
      70.8762824916855,
      34.5617659234303,
      21.3706141259294,
      16.4463240697599,
      -17.3434624211683,
      41.0154208471455,
      5.60512435193675,
      0.754002577295636,
      -44.3214842125391,
      -18.1021998990773,
      3.02334750912667,
      8.6711550608687,
      46.4099506383215,
      -4.44187933489505,
      -11.2274070385867,
      0.839510253159837,
      -3.47511344342849,
      18.7433990163484,
      17.6005108430711,
      -15.8246729927167,
      11.6542174699359,
      -4.78227077331353,
      55.9787826376758,
      46.8144425298382,
      -25.5982323933287,
      43.8597346372777,
      -8.24137594527244,
      14.075257811002,
      -31.1348485066349,
      0.38500828486,
      4.70549910034308,
      1.26427688098472,
      10.7086646038278,
      -16.7824484240674,
      11.5905042069618,
      -6.06454391766181,
      4.04342206687555,
      -9.58067551343862,
      -18.8599712627474,
      14.2879515247338,
      -8.35109065871086,
      -34.4676815804922,
      6.33481232493819,
      -11.1112355730858,
      46.2217300744075,
      54.0355478571901,
      -0.734384956398983,
      71.2007205790923,
      -10.4164358353788,
      29.6355078383746,
      27.1411912267685,
      11.6584001061987,
      37.1904773803355,
      -16.1268450722107,
      45.8110595373211,
      -9.66023859409903,
      -9.5079248739048,
      -33.0121880706587,
      -24.3195246744887,
      15.3269786737925,
      -15.4283174253654,
      -37.7758527942585,
      -55.4939962865971,
      -44.2130876533346,
      -0.123372084095805,
      18.7706757762358,
      -5.10811056062708,
      -10.1654494769665,
      -3.5623332661161,
      55.9624480823985,
      13.9645057769573,
      25.9942495914134,
      -11.0874895577124,
      -1.86965967542675,
      11.3729518209648,
      -17.5982316780636,
      -28.192054024189,
      -13.9876321645591,
      -10.016849417004,
      -2.1973932595888,
      -22.3468261542942,
      -1.45451929657864,
      7.86522277331777,
      2.65275688324395,
      -15.2881728642979,
      -28.4179378146214,
      -44.3015559083042,
      -13.5157144482466,
      -31.9966048081674,
      -48.6842967224556,
      -46.8831672637086,
      -62.4995509161315,
      -63.7444994078503,
      -18.4035746812685,
      25.1267887728523,
      -35.2115848486014,
      -18.2265966941686,
      -20.1904710755762,
      -0.0581767169200568,
      18.7443671582683,
      -33.4280747912795,
      -8.78420560282205,
      -22.43702544664,
      -4.24514473787444,
      51.6583248919233,
      20.0243316036161,
      46.7666895311104,
      -30.3709255290473,
      33.7794578247464,
      20.7263186149232,
      -15.1408923866912,
      -2.83068811503147,
      -29.732227152227,
      15.4938260806979,
      49.3635842697047,
      4.02673449985984,
      -0.909731004595727,
      -9.82322571255794,
      -22.3741181897503,
      -9.29545015208484,
      -10.5961386594193,
      -46.0493390231675,
      -17.5097931243446,
      49.9590446933361,
      39.6167518579906,
      13.7890165646211,
      15.7609942300106,
      -7.02660939401943,
      11.9854394349085,
      0.667515632602775,
      -18.3144554652239,
      -26.3432327388916,
      -28.2994324985612,
      6.48037621580706,
      9.97678792086028,
      1.14675639016538,
      -18.2692336583589,
      -17.5234960181865,
      3.09398555334718,
      -43.2673592613544,
      -25.4062548157219,
      -43.525676640677,
      -45.9498866661988,
      26.8950246849056,
      -3.73995898371571,
      13.8946140755213,
      -13.1845231752133,
      -16.9527902424997,
      20.7752167382952,
      -7.95682107982618,
      42.99161223286,
      -10.8267321420761,
      3.05967657994139,
      33.7444908503058,
      -9.57191741860795,
      42.2436495150853,
      -6.94356776552958,
      31.5771499747653,
      51.9215732085212,
      -3.43908958023837,
      38.3637425423638,
      -28.445924904176,
      35.6504026898464,
      18.3949714713351,
      -11.7048598195213,
      -11.4774795844019,
      -43.7782574509209,
      2.06870950145721,
      13.1238357720317,
      8.52422466311857,
      32.526961336399,
      -19.5651972125066,
      2.69347829134161,
      8.55799428910294,
      -6.25322235965122,
      11.6619691141811,
      -3.51609299823098,
      -4.26153140884768,
      24.7554393742954,
      3.17128471327837,
      36.5370745152196,
      -7.2677191923594,
      14.7015249572448,
      32.6024545688715,
      -15.7360447284528,
      -21.3884546719231,
      -30.313422725786,
      42.6600142854445,
      28.3808307097896,
      -18.6995266796381,
      -23.9324273950012,
      -8.92562307784025,
      58.5129240164601,
      11.9970257687657,
      26.7570662353365,
      39.6201349177568,
      0.428353199652332,
      35.2994534203609,
      -1.69941207665955,
      27.334446489894,
      15.4971372846798,
      25.651906097141,
      68.2770065090216,
      -34.3044025752451,
      14.199276421007,
      -39.5847751097656,
      -12.2333639024179,
      59.6698028199873,
      1.59302176741743,
      11.4765041187602,
      -14.8382226857723,
      3.67935405545522,
      21.9553401003617,
      -19.3492118679777,
      29.5892556289178,
      -35.3995002197671,
      13.1868556552962,
      45.0704066788115,
      -19.7512292356317,
      -33.8808016460862,
      -57.5088027874074,
      -56.2730164966737,
      59.8203256604465,
      -4.79816145833547,
      12.0453234473179,
      -12.1455475461477,
      19.63728437839,
      57.0455901974818,
      16.5531269297671,
      29.4962396628778,
      1.06280443899464,
      -27.401335590503,
      3.4838559780331,
      -32.8583640277801,
      -18.8350443329727,
      -36.8576246820156,
      51.8842886845112,
      15.0954878995856,
      -10.2730937487939,
      -16.0266271033063,
      -14.0044692806407,
      2.82097001829959,
      -16.7965103505646,
      -40.3931047932531,
      -38.7678869712659,
      -16.9474574573361,
      -39.9092481002478,
      -43.4346274333122,
      -60.9270320603507,
      -58.6990285112725,
      -45.2613372563937,
      15.2593175436306,
      -13.0163214049313,
      -35.4943300395024,
      -27.1079360107996,
      -18.0187200235844,
      6.48620960440193,
      -23.9356129001348,
      -5.5148161382256,
      -29.3546510620281,
      -20.4508683514496,
      28.4058571075726,
      31.5093961993739,
      43.6067312025358,
      1.94518267275727,
      4.52611276893192,
      22.4851589001054,
      -3.88536910146993,
      -0.56040935332157,
      -13.9266783047444,
      -14.7409260588372,
      42.6949183244322,
      3.37274807858434,
      19.3917013936241,
      0.907704008302612,
      -21.7734389923697,
      -14.5798879237687,
      -30.2070686058413,
      -14.9525810439481,
      -31.2318217289443,
      11.5095219111031,
      53.7306398712967,
      12.8672238272872,
      30.2450355338337,
      -2.06888903513134,
      14.6510181182303,
      8.90129998552356,
      -17.4618429647969,
      -19.0336264019381,
      -38.40172085752,
      -11.4190114063791,
      30.3725458760635,
      -9.07477320430402,
      -17.2546913720864,
      -11.759906288686,
      -13.551746739031,
      -9.04474750479107,
      -43.2484701372672,
      -39.858387100175,
      -42.5744583628845,
      4.00188602255341,
      44.6131251666368,
      5.92272828641444,
      -0.931101844387273,
      -21.9318168031806,
      15.8006964012789,
      42.1947484690137,
      30.8236102709091,
      45.5284701429326,
      -11.3837641696543,
      20.8640980498629,
      28.5574873278437,
      14.4940324201516,
      27.3422223810642,
      -12.873781846243,
      31.6498560688167,
      23.6492313776865,
      49.1639152664723,
      57.448871784932,
      -16.2766047924881,
      43.6096151570035,
      1.44586532416298,
      -0.00685697058496742,
      -45.9535020356144,
      -16.5504563036132,
      1.68419222379874,
      9.55361913527336,
      48.3619976587823,
      -7.13901088319685,
      -13.6675893964286,
      -1.31309303183551,
      -2.66652649669474,
      17.4966197780889,
      18.4748460474679,
      -14.2406158123708,
      15.7834259380508,
      -4.01499024422502,
      46.9963095246781,
      36.9502010519667,
      -52.4264138839498,
      44.2233999934932,
      -8.69326703528304,
      -6.73251994576378,
      -3.15247703748307,
      -2.58259511196759,
      50.5497148629094,
      7.88692537367103,
      14.9024791233918,
      -12.0367934746999,
      23.8103176452647,
      34.116292467609,
      21.5834656988395,
      48.1287265139598,
      -29.6144859982556,
      33.7861096503549,
      27.5390200698033,
      8.89889942723341,
      13.4655808534123,
      -27.7395523984318,
      40.6732656332534,
      29.6491366219279,
      -17.2597715947686,
      -5.17423766795525,
      -14.517226041338,
      14.7376088588363,
      55.0908620836829,
      -10.3160623256911,
      14.8365181736391,
      -7.93574951616017,
      24.2142431755567,
      69.732354480563,
      -7.87636750585386,
      6.90229981070973,
      1.10450831256311,
      28.5127330741462,
      9.39347079582905,
      5.80819010671423,
      -15.7244482859947,
      -35.8059884610109,
      -11.9865202346531,
      -1.74128167844153,
      26.525877391098,
      19.9867620706521,
      -13.4138218966523,
      9.43488343546015,
      7.2043810998883,
      41.9175707804103,
      31.2239174716672,
      -7.52265157582358,
      26.3160017115977,
      8.82382262603256,
      54.7637508657413,
      18.6514108558877,
      -8.95373743734396,
      4.9517309576433,
      19.2098828543236,
      31.1234820916556,
      -25.2873382797483,
      -9.18852831265967,
      -13.8721223515106,
      -2.35267204210629,
      49.5439939469351,
      -1.81604686110653,
      -9.97527833549104,
      1.61103856974317,
      1.5414901775106,
      54.6330562047318,
      6.2037967160402,
      17.4926577988706,
      36.5177256953874,
      14.0967479907887,
      71.1143478737022,
      41.939469794898,
      57.3492378548039,
      60.7681952595153,
      41.7136525099671,
      30.1427837363344,
      7.05955336594949,
      0,
      -11.5368831222366,
      20.5337943528498,
      -13.4574455346501,
      -2.88679779236896,
      6.89369729351426,
      -3.06004051928663,
      40.3632736084828,
      2.4563477156834,
      3.92196932238694,
      -15.1591920931766,
      -24.074827339236,
      -25.0226141492598,
      -15.1718744384989,
      -24.0635252763502,
      -5.87752319418503,
      -20.4653853532782,
      -48.8897285280296,
      -48.4419405925855,
      -18.3218277258674,
      -41.8746483009665,
      -42.1597971647765,
      0.374530817378362,
      -9.45719960572504,
      17.6855286009588,
      4.22867149645683,
      25.9523651782315,
      6.93452804152862,
      -27.7608428830478,
      -25.7468257682082,
      -41.6309107725728,
      -24.6978803866258,
      -35.6662103484663,
      -14.7053930734843,
      -38.5382618712425,
      -14.1499505445717,
      -47.8305765570501,
      -44.0061235415921,
      -44.4370553358443,
      -23.1170446396139,
      -53.9675597862341,
      -27.7752344577055,
      21.3453937340927,
      12.933337011102,
      11.1544019724437,
      -8.29388450654995,
      51.7667609352623,
      46.9679751958204,
      39.8439331869728,
      36.6614730504239,
      6.17669529565974,
      34.5771145248194,
      43.5167882681382,
      38.2559633306344,
      40.5614175697634,
      -0.196109714510204,
      30.6835906225166,
      36.5931226681651,
      14.2217167762185,
      2.41065924646022,
      1.44286236826252,
      31.7329950425878,
      20.5781095437365,
      35.8725182848672,
      11.6372317663295,
      30.6269745137136,
      25.2812429476337,
      35.9262819821218,
      39.4564984728015,
      22.6604005553778,
      35.6633036669251,
      36.8955913269704,
      40.228621167149,
      51.7547111284171,
      56.0221114969125,
      43.3229198708059,
      63.7244358258806,
      51.7365447913017,
      62.2668891628389,
      46.7401641716142,
      31.0917112755226,
      91.9529901807454,
      69.3355861497926,
      35.7586686201549,
      31.5770662186099,
      61.3345276544434,
      33.3249735580802,
      78.247138955918,
      94.9331290389246,
      26.5047906464577,
      66.4767984499326,
      50.652442706817,
      54.4493816032188,
      33.3367172386169,
      33.2560829602633,
      17.797095547519,
      35.5168603940428,
      31.421175384312,
      77.8801948907528,
      29.6077219428653,
      46.5386590001626,
      96.8171079408472,
      70.2613483931435,
      75.3001406216561,
      29.4564679446006,
      53.5303733689328,
      54.0662211529438,
      74.2110695838559,
      61.9143390135174,
      36.5545601260765,
      90.4746200587965,
      58.4624951141965,
      48.5620542981269,
      18.0537468725717,
      25.8112333648043,
      41.4484813378869,
      56.7629930017084,
      15.9497649241969,
      2.27873061370097,
      4.95374755961584,
      26.7452541551982,
      75.7260054743836,
      50.8818535384661,
      58.872782335704,
      18.1626303858136,
      76.7148380595411,
      72.7925859732479,
      55.8396812518285,
      44.0363565496661,
      58.7958626988743,
      50.011963563016,
      30.432678115521,
      9.32167293286366,
      15.85486685352,
      47.3381077343702,
      65.0905078475837,
      46.4300876269793,
      33.6858124303906,
      22.4533459550998,
      26.6285733799271,
      6.73696152254364,
      1.52128299727629,
      -20.6612008014631,
      20.5407225840832,
      18.1146668484465,
      4.77748158115215,
      -6.15148369932571,
      -15.6825881230726,
      2.02162962005884,
      24.0067781618069,
      20.0300520987528,
      -10.6066634520214,
      -25.5602250269504,
      -17.9101860093659,
      24.0410671836657,
      25.9168090670006,
      44.1596942275851,
      53.4646960587002,
      4.4799196250956,
      40.4154015719664,
      51.2831338067415,
      48.6856228701938,
      57.2443929732345,
      22.467552964272,
      54.9241432844378,
      59.9594456622215,
      48.5109601247723,
      53.0171141289229,
      26.2380760546469,
      35.8524153770663,
      41.7209548942248,
      47.8967383952275,
      31.4427049560185,
      43.4070713848299,
      10.9504257146928,
      9.50893679931962,
      46.7989737135475,
      11.9633169363064,
      16.301799189858,
      39.4365582209819,
      40.1741108052097,
      47.9560001446823,
      57.8956471002076,
      22.2774320714822,
      62.1167298397713,
      45.6632351187303,
      28.2971456589264,
      20.8648374798522,
      19.5239714866626,
      24.9171964925647,
      35.7697546504602,
      32.2726965348751,
      19.4603962322669,
      24.1583519340519,
      14.9063331550559,
      1.95825449597169,
      24.8747429498642,
      -3.26052872840798,
      6.57176472532936,
      6.82671973314384,
      22.7839888534458,
      18.8689787256398,
      -0.447877190083936,
      32.0227538895008,
      51.3462066893078,
      36.0898294581391,
      59.0826998962143,
      13.4234159413784,
      22.6993105276393,
      49.0150255192239,
      33.8975061359224,
      58.0480673333689,
      16.2957960655582,
      7.18180140396102,
      52.8386284533648,
      27.2966595065456,
      26.9406831905424,
      -3.56987017858445,
      4.32171408875883,
      43.1875010858404,
      21.1880539572132,
      41.1558843516705,
      20.0971082859975,
      27.0328995896681,
      38.3501669115972,
      38.063908983978,
      33.0412917693005,
      32.7682573771109,
      36.5089039208492,
      44.5296351805055,
      45.6088269955539,
      54.3309099500842,
      47.7765769683164,
      59.0331865083447,
      63.9478912193918,
      58.6007045446465,
      42.7050076970142,
      52.8242451623606,
      39.1328573788762,
      73.2165269907437,
      71.6892183958181,
      47.1486300293446,
      36.4012148065417,
      51.6394547554372,
      73.9204112471641,
      52.0769749049652,
      39.8778284974509,
      45.4238648901913,
      64.86546927393,
      62.712909690067,
      61.8844433603749,
      96.026077276748,
      39.5204482509855,
      44.852791908629,
      48.9706548747246,
      33.5822604063828,
      48.6709238538814,
      49.836518433632,
      62.8968300675434,
      45.7270668583312,
      69.631559777736,
      8.97202971942771,
      26.8019114459997,
      61.5471507021083,
      43.4387102000643,
      49.6193128894897,
      -0.272537842215412,
      35.5248457721911,
      46.4585698979107,
      45.8912813705097,
      68.2752894588462,
      0.500481275406054,
      71.7477675932521,
      69.4868568061754,
      34.0516080150735,
      15.7728560017949,
      -14.0884640981474,
      9.18469370665532,
      84.5180553515903,
      42.8755381220778,
      73.4918877080378,
      30.0762305034159,
      32.4881193723216,
      78.3406179414961,
      59.8270592451388,
      68.6618606485404,
      34.5461764215395,
      42.3741019682767,
      43.8492493361131,
      23.2138913822483,
      29.7009855935142,
      46.5169169967665,
      79.962586403245,
      58.8257521836042,
      44.3985659234161,
      15.2857957863659,
      26.9534712405442,
      6.20881720209421,
      15.3644179121241,
      2.52338282648598,
      -4.48683198434499,
      33.4337424800712,
      8.64473569261802,
      8.14084014960353,
      -5.24465045278849,
      0.241298688414737,
      18.8563890156009,
      28.8429901008982,
      10.7098150358528,
      -9.63422793789143,
      -5.11978961833557,
      10.1453052321333,
      27.3024294816636,
      36.5184198831823,
      42.1081909544302,
      33.000443159979,
      21.6947562950602,
      51.3176645686318,
      41.9903461072821,
      52.0091915862775,
      43.7345977449687,
      21.4631850801183,
      72.6194222944221,
      51.8585320884666,
      60.2654868064768,
      30.7392546195565,
      28.4610706148064,
      37.7507652994073,
      46.5581644554953,
      43.4858633316066,
      36.2439236796604,
      32.682396422452,
      8.4744774599437,
      21.1733331151348,
      34.1901025335554,
      0.753229396950799,
      18.7713181484209,
      59.1962751824112,
      44.4575620837395,
      54.4699522042947,
      33.6759875989379,
      49.8233414436937,
      55.5327036101296,
      30.9689858106065,
      27.0454105111448,
      11.6977777192035,
      16.8823190667355,
      38.5984256631944,
      37.1754087006217,
      16.995637333451,
      35.5379465909608,
      7.7186661609839,
      11.6087173859473,
      10.4060208384815,
      12.6757748109515,
      2.14318577661878,
      5.84437258642304,
      59.3829177690381,
      52.9634975482254,
      54.1650429455376,
      26.388637506091,
      41.212129935819,
      61.9403606922279,
      66.7137220800264,
      54.0222378957589,
      40.6537604806029,
      50.4022899814626,
      66.8709720982449,
      63.0636161200352,
      66.2393018387999,
      28.4519299095269,
      43.598182123263,
      61.7651037237864,
      64.5339985010292,
      44.2271798041379,
      29.5659619978775,
      52.1122856518488,
      31.9726750570953,
      34.6691114037236,
      11.4771409962587,
      31.8114387440354,
      25.8392394146316,
      32.8005515181447,
      37.3702503685398,
      21.49441024652,
      33.6981347254994,
      38.7789032886195,
      41.481184287414,
      52.0113907398251,
      55.7840937092709,
      46.8621126156646,
      70.6982140686585,
      52.6469347461934,
      59.3933770768908,
      50.87994340604,
      5.29462603593169,
      70.1077850057448,
      35.2255525332415,
      13.6368875211392,
      8.15448396303514,
      12.0077419446676,
      45.9643653401133,
      34.1329578437066,
      44.2799472821494,
      20.170268534282,
      31.8355564270926,
      34.8627134127466,
      47.3031574294409,
      51.3024082523592,
      -4.94007813464501,
      25.1336018898754,
      38.190330140019,
      51.1350831486245,
      6.9895101539912,
      14.0475702116746,
      26.4679193274956,
      65.0109250178584,
      31.6664508246881,
      7.71221743461854,
      24.7976591639103,
      18.9734739818824,
      41.6974568317902,
      33.2401802093816,
      39.0917018452961,
      37.3881160288315,
      20.3611095647818,
      51.4306894296449,
      26.7387579426039,
      20.1059393174616,
      28.3056759041017,
      30.7595641538232,
      39.3691208921521,
      39.2869083300764,
      17.9209710565911,
      6.67370406829405,
      -2.86922410780777,
      -10.1610488352343,
      18.9096301375363,
      7.02461945094078,
      -10.9532384893806,
      -16.5087774233341,
      14.8943191406419,
      18.1471616127768,
      9.38270158206401,
      10.3254440626744,
      2.56565956245564,
      29.303565627679,
      38.7745329841665,
      -1.67392147523922,
      -7.42356894758774,
      -25.0266228602215,
      13.7533843345933,
      24.9500349843322,
      -16.4901864566251,
      -5.28014831541709,
      -20.2009666508275,
      12.2660654667098,
      18.0285378043442,
      -10.0449363626933,
      -3.28016200203733,
      -10.3805673379634,
      13.1237012146813,
      23.1903427239274,
      6.37497795350867,
      19.1252043797279,
      15.9266173139552,
      35.7714722353148,
      37.6939317505064,
      30.5962317878944,
      47.8108352934483,
      50.6447081147577,
      37.7028369061505,
      28.0798582506701,
      6.79849171625163,
      0,
      -58.0405325826481,
      -45.9752050444948,
      -21.8184642750943,
      -8.26536149210456,
      -3.48116613886078,
      -35.9056785125762,
      -42.3329653460124,
      -2.01884795931972,
      17.1174079441231,
      -5.02145854641134,
      -49.712646501689,
      -8.7754502026056,
      -24.2473689117396,
      -45.6400170389835,
      -6.37302026291155,
      0.386219513911433,
      24.2859186062151,
      -29.8955151317016,
      -50.2347969378552,
      -10.5211530074799,
      -77.067255423086,
      -34.3866743863826,
      -30.7540286561857,
      -14.8962226477751,
      -14.5939033294935,
      -31.8038747197699,
      -23.4066264343195,
      9.13254381093743,
      33.910327526274,
      -44.1768989021217,
      -23.5523304496062,
      0.690105663389035,
      -41.6389251742498,
      -14.4159707082957,
      4.81928029211048,
      -3.10222928758227,
      -5.39440061219643,
      -41.470511530102,
      -38.4971793132912,
      -9.25238318231322,
      1.15027705531484,
      27.1418015698496,
      -6.77759746186386,
      30.8974605113547,
      -17.4050313052346,
      46.2104944401554,
      50.4480685778136,
      6.33375982605008,
      36.4381846199153,
      -6.92069059282577,
      38.6260931202614,
      45.1406719563428,
      13.5165253308836,
      39.4747553497432,
      -8.09760966432197,
      51.9341114308603,
      43.979924753577,
      17.4091974850582,
      13.5294265929431,
      -3.59795224121851,
      33.9224487083214,
      -5.74214073484932,
      30.4845908124776,
      18.6135305824127,
      -4.63620679969357,
      1.21742208142367,
      4.99748213466149,
      32.2085384907231,
      5.74390927016998,
      -3.2407705342095,
      22.0638401626377,
      6.38954994990921,
      27.1083778128184,
      29.4251241394775,
      4.7375701001044,
      21.4855388392623,
      -1.8316907225227,
      14.1593932067309,
      33.3324732720267,
      -40.8445555226105,
      -3.40881053994929,
      -3.91108810521626,
      18.2902659744699,
      -20.2074634056812,
      -22.2797771062244,
      32.2199689504183,
      -13.920709068328,
      17.1448658716523,
      -14.1109935251129,
      -12.4387701425203,
      24.7418922321256,
      -8.04723006308759,
      -8.62843102137592,
      -38.8626395451248,
      -20.5664093125475,
      -9.07614695887672,
      -20.0150921963425,
      -23.8937907579537,
      -29.2384851718282,
      25.2134352007801,
      43.2032331399978,
      -23.1266070679079,
      -15.9460642586921,
      -14.3812088657152,
      -9.21634362515817,
      20.5528024313144,
      -28.9373802011222,
      11.4084847079309,
      -18.1256013429062,
      13.0049113242327,
      26.3833868785956,
      -28.3714153984522,
      0.806085083674882,
      3.04111588110748,
      -2.14654772687275,
      -13.9147656794764,
      -37.4538961938266,
      -8.62098172740017,
      -36.7522894403077,
      -40.5804092314484,
      -21.6720681592906,
      -16.2278690122361,
      -29.6844214236012,
      -13.0858450543605,
      -14.3355294153185,
      -2.97273431338152,
      16.9986582562828,
      -27.1673505977866,
      -10.7792155783328,
      -18.4176431566158,
      -33.5227438202994,
      21.302926587937,
      4.03444425509851,
      -20.9006350504282,
      -4.82947529974107,
      -33.2359624054174,
      -28.8979230758508,
      6.43262375519048,
      -3.54500767401056,
      8.63586803287076,
      -14.6624753632863,
      32.2301752457761,
      26.7066392414872,
      -28.9114622237937,
      13.718902302102,
      -5.06449553113515,
      29.0302657912612,
      4.68445757587976,
      -25.4049064635677,
      30.4185596147532,
      -16.4220352698153,
      39.9906385173728,
      7.1689979725147,
      3.37945407286608,
      8.62065653897291,
      -41.2717291611187,
      -52.6971719498878,
      -97.1278065250039,
      -100.024397852669,
      -32.1784003778799,
      -16.3601922440252,
      11.4883935953865,
      -11.2281801489619,
      -20.3479276860661,
      8.30224835819771,
      14.6606625104139,
      51.4247356449782,
      -19.134014864156,
      6.00437330553779,
      38.0373929898263,
      -11.6788161100321,
      10.6635019124019,
      -2.34303968867612,
      29.2469505181649,
      29.2769040814813,
      -26.5611260856842,
      -0.768018898979749,
      -18.0104850579113,
      -17.5361492023096,
      8.99137948546355,
      -12.3238810158297,
      11.4281403091993,
      -23.9462578731188,
      -8.14138363927359,
      14.1208280602939,
      41.0895558161146,
      28.539035515007,
      -21.0861811029337,
      28.8421474045072,
      5.7613197393969,
      -2.85589027262519,
      6.88569603355541,
      3.78170573394875,
      41.9304474586652,
      -21.9269825635301,
      -34.9674297533026,
      -9.05468254538513,
      -39.5677320835132,
      5.27299464759576,
      -14.9996463876444,
      12.0269895176182,
      4.40207789728462,
      3.03577748475414,
      45.5231888064636,
      -7.43587507121041,
      31.906358231038,
      5.41871449794201,
      9.43743803731458,
      33.1677928645986,
      -6.37399243423822,
      38.458283673789,
      -1.42445513177375,
      27.9977614593663,
      37.4692056039349,
      -2.35217500314889,
      25.9429267445271,
      -24.9758514605332,
      35.643223609789,
      8.21010703218242,
      -9.5527026432765,
      27.2718310535364,
      -13.9772400995736,
      -0.700887374884091,
      13.4231364209485,
      -1.94877416198453,
      15.4609389792705,
      -13.7965089006365,
      14.7029278222871,
      28.4665881578156,
      -1.33856425603735,
      21.9613892430199,
      -4.59728949451018,
      29.6250662113741,
      17.1933301691641,
      -9.85443665122306,
      -6.27216658511612,
      1.53898117407851,
      -28.6477748441972,
      4.73280339553621,
      -30.4701433647929,
      0.623231020165849,
      -25.3948137892093,
      21.0289956445822,
      22.0019398348236,
      4.51688064517699,
      8.74754335164085,
      -15.9728161576699,
      40.0914061040679,
      -19.695699658131,
      -7.24056522671354,
      -20.11654438616,
      -21.5354970651492,
      -5.58121928389066,
      -44.4665592665897,
      -31.7545040267422,
      -33.9204877162823,
      -14.6602058921363,
      41.5670192281326,
      -6.57177671613361,
      -12.5440446941769,
      0.0874009088062295,
      -7.53889032370124,
      48.3719315314053,
      -0.73576396094187,
      -0.797260013506068,
      13.8172638855193,
      -10.0186850165103,
      17.496696191878,
      -35.6554498340787,
      -23.5763901701881,
      -22.748511700916,
      -18.4705521982616,
      -34.275894279438,
      -54.3265177656844,
      -30.8363561844786,
      -44.0292462969579,
      -78.6635804997211,
      12.9290142250219,
      -12.4768249507063,
      -9.36749871699587,
      2.32059684341895,
      11.0771585606298,
      16.3798857611783,
      -18.9395616807603,
      -34.1802676272059,
      -15.5582839003668,
      -54.8215370366626,
      -25.0216039030234,
      -6.08979063702568,
      -15.6941716280721,
      -50.0885917004855,
      -27.0348666588559,
      -34.6942727699004,
      -29.3279952914146,
      -25.3724376336282,
      -44.064906767542,
      13.0774215896365,
      -5.12019720512082,
      -0.498034205872004,
      25.3597248069236,
      -27.6707319098451,
      -8.04738096256649,
      14.4363834492569,
      -1.1826285370043,
      4.36249691234944,
      -20.5568136511596,
      6.58814237393151,
      2.56008508745342,
      7.35583220199865,
      13.0724705291295,
      -10.0380270464029,
      17.302681707867,
      -22.916735526018,
      -41.8261228764361,
      -75.8783894376109,
      -87.7143619030864,
      -78.6880898564935,
      -24.4120298609766,
      0.9020491932316,
      13.117680450246,
      -28.5313754396644,
      -8.91059625514522,
      5.32328201175,
      48.426067151344,
      24.7140540491425,
      -19.0086125842505,
      32.0137837058541,
      -0.988579054738384,
      1.85562199819016,
      16.8950265631499,
      -2.38247984396714,
      38.1479406436625,
      -11.4482805884727,
      -9.68469562823553,
      8.85124095145315,
      -50.9364332827891,
      10.2176179051519,
      -9.89791285938726,
      13.9695177055183,
      -5.30115980927504,
      -27.5059389443772,
      8.42737128205785,
      11.8826976417983,
      64.0909384116592,
      -12.5993586075452,
      -5.15142114678791,
      40.7087628415063,
      -18.59211736359,
      10.5513601364689,
      2.88430988405371,
      25.3836811790647,
      20.6896405406994,
      -37.2029865760218,
      -22.2187834715906,
      -26.1249754483784,
      -12.4665268524599,
      27.1590034939365,
      28.2478988334944,
      54.7362852266209,
      3.53303496556885,
      17.9921289025644,
      46.3926276759414,
      26.7633312230201,
      38.8962441805226,
      6.00866844588295,
      22.1486774525113,
      46.2653398342002,
      23.6084814790098,
      48.8248471120208,
      -3.3941840455599,
      29.8450354921183,
      36.2747538143453,
      38.05096444452,
      54.4702624186812,
      1.44302032092152,
      15.0172797160416,
      -8.81988970771892,
      30.1380104880884,
      17.4914450510622,
      -1.13039542381038,
      0.340892706001774,
      2.16428542821076,
      30.4348331041259,
      7.01024783134776,
      1.64050982126786,
      26.1692632461675,
      8.78414938491084,
      26.5363993916916,
      26.5280054000864,
      7.30165711332393,
      32.9135433396734,
      -0.683563315360004,
      30.255094887596,
      49.2338586503748,
      -64.1827405759413,
      -4.73445218635703,
      -18.8912646651956,
      7.14682110577069,
      -13.1221841517156,
      -10.592087675556,
      32.0091261168241,
      -1.683340088746,
      3.96188017505299,
      -26.3550581977284,
      -2.03673742245408,
      11.8539862649032,
      -3.62241380714634,
      27.6753098470209,
      -16.8162922664244,
      28.8495131299461,
      40.5045238835111,
      7.7148342041613,
      19.4342197523379,
      -18.4175787413679,
      22.2968043533354,
      -5.16133776260614,
      -8.23727030037047,
      7.87867495924603,
      -24.1226003102877,
      6.14744109535622,
      38.9063730960567,
      -15.276481578438,
      6.43738832121631,
      -40.4193996224537,
      8.32659979432973,
      8.33370212561591,
      -22.9323480785856,
      -5.0346408245633,
      -9.95152330850874,
      46.5087028991801,
      -30.0459912379152,
      -21.3015422167134,
      6.46365033847963,
      -34.2504758108883,
      -20.3118747093859,
      -27.4398901403007,
      -14.6724019141985,
      1.31661757897243,
      -50.1376691195812,
      -15.0679068254028,
      -17.7503413728201,
      -10.4862416335519,
      11.9869238658447,
      -44.0532862905534,
      -15.899645100329,
      -9.4033561012074,
      17.9884451660516,
      14.0750559990069,
      -53.2910041450552,
      4.28983716461271,
      -23.0767882401645,
      2.85180077683957,
      -3.84345101876741,
      -47.5061875145546,
      -3.73526000332028,
      -31.6869989632582,
      -0.762081467381489,
      -1.20952334675759,
      -56.7102423215207,
      4.29643799366831,
      -29.5931684475532,
      8.08439376167545,
      8.86237227363174,
      -39.5863607236396,
      26.5199886151576,
      -7.24340906321903,
      29.1167018153362,
      31.8301184146941,
      40.8636638335162,
      44.0454271083308,
      33.3697196278763,
      25.7135513047821,
      6.48590899978005,
      0,
      29.8040865747645,
      44.2913372682948,
      56.7160451372008,
      47.54357567897,
      19.7389610091168,
      33.1856623884965,
      21.5388517402661,
      61.6182704335155,
      91.1089992446049,
      63.8683232164168,
      16.4520616109399,
      2.37647345167145,
      10.2051184803617,
      6.61099317320814,
      8.21033470955076,
      4.21033899803573,
      -2.59450771060037,
      15.7818932892245,
      14.1663256636501,
      13.1412937631455,
      28.0574596048239,
      32.632780454001,
      62.6820237752625,
      41.9688324827817,
      15.3630647526696,
      33.0966219699088,
      18.5553408351823,
      94.1939414265453,
      85.2308481066779,
      36.0507640319143,
      1.11812670326177,
      -16.3857516406915,
      20.722213352769,
      -8.03172845838603,
      11.6297479356219,
      27.1637733511209,
      3.14607420814597,
      21.9000816109434,
      10.748528367195,
      18.3464334709599,
      12.7611866988134,
      22.4395791696852,
      17.6662125278571,
      12.850687105365,
      12.7718879805777,
      9.43465889623161,
      30.5682863034712,
      21.1649746956195,
      21.6390038016141,
      13.4884934637848,
      43.9198159232572,
      34.1102655888797,
      22.342682584248,
      31.6567836206805,
      25.5569030142434,
      41.815568202091,
      39.4469104581578,
      25.3899081062581,
      20.2887054538152,
      27.7816027722454,
      43.0409869388258,
      20.4416959313242,
      22.1736206837441,
      11.5301997145838,
      19.889175498017,
      30.1271461041207,
      45.9879056248398,
      44.9844396984319,
      25.8521968322319,
      37.7660504055316,
      40.2619228787424,
      47.1987710584855,
      34.6036718219302,
      33.50237672449,
      27.8729846428083,
      48.2285864941526,
      34.0276489909893,
      27.51474908521,
      -19.7515800121049,
      23.2043969314223,
      64.0218048294792,
      63.3291241372112,
      60.679197128562,
      57.9254185770975,
      35.0710094592787,
      99.9956180558085,
      68.1142079230091,
      84.5740152722073,
      81.528711653327,
      53.070509836045,
      75.8888363295449,
      73.2223643341935,
      90.312195682432,
      52.1311804862354,
      45.3648730195806,
      47.2733050168344,
      57.5327887804421,
      60.5628062871623,
      56.565576727394,
      53.4344915531014,
      70.0063851017214,
      59.2004496617816,
      65.7859140141899,
      44.6099106355546,
      42.1517425618504,
      77.3395551599303,
      63.3448600725068,
      79.9208679609735,
      41.2464828731532,
      69.2768510383422,
      83.9985776602855,
      54.6192899734621,
      65.4868217013387,
      61.9127207793736,
      65.8167175340569,
      64.6087832962776,
      53.73951749902,
      54.1527093460706,
      37.0878174402196,
      49.9036803935086,
      68.9290264980724,
      65.6527380402759,
      53.3703577758193,
      25.629323531585,
      43.9944741422064,
      73.2067792115787,
      62.1530212461337,
      57.0605427925487,
      50.2175561359922,
      61.8705779684744,
      56.2521097181576,
      68.63020054941,
      61.6793641922133,
      60.1848762559329,
      48.7186959942349,
      28.3393665584031,
      20.5755881735401,
      35.9808680840808,
      38.2966921606655,
      27.5798864049527,
      38.7398168439408,
      60.8450710495789,
      56.615302344554,
      15.1258251372275,
      40.0312912629135,
      35.8018440133444,
      53.8732939779161,
      36.0466005474941,
      29.4446989783767,
      25.7997533656496,
      67.4273260653633,
      84.4271471600501,
      68.2828288560267,
      92.0957568026166,
      91.8896197585706,
      27.7405137827914,
      18.6449064901241,
      12.0563122660046,
      24.6297204494288,
      66.9890098426201,
      67.1808395735957,
      68.3882966745657,
      42.2696713418239,
      54.4354077821131,
      85.7239783750013,
      96.2461780971134,
      128.280649142255,
      54.0692690073894,
      50.9906822935214,
      56.5028680467553,
      61.6398330704047,
      55.8553364670281,
      36.9559284409159,
      48.105691637444,
      45.0781908017234,
      60.3737483490707,
      57.5136412401662,
      42.2357724241477,
      74.7439706016246,
      84.6929596329657,
      68.4116556840139,
      64.5826045176149,
      46.9173969319506,
      50.0138360523903,
      90.0799207141625,
      113.33448931952,
      103.56414381919,
      36.9268299327791,
      44.0109906459979,
      44.5818117713008,
      51.9138213195774,
      54.6852055406174,
      61.9693017468858,
      56.39012267527,
      44.8486259977821,
      44.3464422324603,
      29.8370928182383,
      26.5110369670286,
      8.69187873173719,
      26.6685339335371,
      32.4217831377099,
      21.2271501438467,
      10.4473159590973,
      22.3346200135971,
      28.6233178181842,
      40.106199653841,
      17.3719165344764,
      32.4459213088564,
      39.9801496344661,
      31.3732293539529,
      40.4828555497489,
      33.9127397257908,
      29.9618030201146,
      38.3225946174496,
      29.0873900127568,
      35.5607242261238,
      20.5887185359848,
      48.185375218762,
      26.5853168904932,
      23.0999198010289,
      24.7071335344154,
      21.7192230235148,
      16.8330607917509,
      49.580900126555,
      44.7956576018776,
      41.6431671538805,
      39.7068310920429,
      45.7044479697027,
      48.5418054144402,
      38.4409909512848,
      40.2764213950602,
      44.6934730293633,
      38.8089838030538,
      52.968543472338,
      42.3910829831244,
      20.2070953871618,
      11.1494334931373,
      38.853889145431,
      80.6185999919419,
      46.6787497746318,
      51.0961172138278,
      47.4839160180127,
      57.7618835307389,
      73.1057128132984,
      61.3848781246102,
      59.5730386225188,
      55.0759159674189,
      73.5897734107918,
      65.793438924225,
      75.8265665521811,
      82.3587969483773,
      52.1703484076714,
      45.7209880892349,
      55.8697562104575,
      71.0172921064129,
      58.7362795558794,
      45.1804415232419,
      53.7157734524177,
      50.4600594381458,
      81.8781770291734,
      62.4734545612731,
      42.3176162695624,
      65.7327986451882,
      62.1756823562047,
      67.1082236080129,
      56.0978906663018,
      39.7310066702723,
      58.3062241482885,
      64.266668858993,
      73.0784306846822,
      49.6540638057004,
      53.8094614463773,
      69.2929388778147,
      44.6796546820567,
      40.4460067451061,
      34.8053800254398,
      0.237286531075802,
      70.0045162068555,
      61.3069463536753,
      75.0643966096448,
      41.7999587599261,
      37.5578916005484,
      71.6975835480922,
      55.3008220045218,
      55.303531155991,
      41.0328900340206,
      34.8791373215425,
      66.326404886937,
      73.000187001308,
      54.5127234655474,
      27.8460675812738,
      62.2306921475228,
      36.2544279654858,
      48.4458064045937,
      3.64229719271737,
      20.6944689945061,
      40.7893838345072,
      32.9718222653937,
      50.583521698572,
      63.6622770041828,
      32.6538907205645,
      24.5817728713111,
      60.5807553202577,
      43.6128034753167,
      51.3380747413654,
      28.199478647631,
      30.7079632798218,
      68.7895673779164,
      72.5255182270745,
      85.4153510774954,
      69.1458841006896,
      107.366893518417,
      62.2819358885631,
      33.6010981577906,
      15.9705367946714,
      24.072985917409,
      40.8744677978428,
      68.7631322927893,
      78.4234717202143,
      54.1852480523943,
      44.1938719415983,
      54.8519706206596,
      84.9990477389428,
      131.473527949674,
      95.4586154921664,
      45.3388593616614,
      49.7713766323842,
      58.3715092201143,
      65.5410143044919,
      51.2507691918211,
      38.1885256251388,
      42.1303631430179,
      50.9172315193357,
      66.2566764553692,
      54.9206614820254,
      55.7493846410992,
      73.2046553608288,
      77.4608490019911,
      79.5680826794238,
      44.8279603332055,
      41.6042311309401,
      73.9360260763352,
      99.3408670420861,
      129.344946287096,
      61.0626822725939,
      35.7117484129858,
      51.1398740707275,
      55.0810528997523,
      41.367326722743,
      49.6417645258066,
      72.5207060124828,
      54.1133485055546,
      45.2997952331447,
      28.6544744361788,
      28.1801401685622,
      21.4238981295962,
      41.2540169123623,
      40.6556798800076,
      34.5350857047245,
      29.8351120642747,
      32.5622327331595,
      70.0302931283476,
      50.9855928180593,
      54.6225395216808,
      41.9108000339515,
      53.2750027449964,
      67.8710328501386,
      54.6052824633585,
      53.9822706189469,
      41.6913720503092,
      41.3465537125231,
      54.2142715025426,
      62.9599792599164,
      51.3258417362828,
      24.5434451006824,
      47.9265951485821,
      26.7938565607656,
      23.9367976778209,
      14.1848937572335,
      21.5858111982911,
      34.0401504421573,
      46.9253545059211,
      44.4763716358541,
      25.8677617332198,
      42.3299396412942,
      44.3105984992381,
      50.5059672424376,
      33.4188547881222,
      35.1058803570829,
      31.7047826356719,
      59.543301565236,
      36.1411803394035,
      35.8761054811095,
      3.21654884218099,
      2.58366715185083,
      59.5656638320977,
      56.8544752712171,
      68.1466379990415,
      51.3266694421754,
      48.563592915911,
      105.093204059007,
      59.244430278513,
      84.8992568727729,
      60.5026091476173,
      74.7649122566864,
      97.3765815832757,
      77.3566412775699,
      74.6252874303343,
      44.6198324489975,
      62.7347548829696,
      89.5555208916104,
      72.6420608150561,
      83.9085069692243,
      64.5367349136071,
      68.1146614458935,
      67.477178776731,
      69.3573674897208,
      65.0354569274275,
      51.5014899079705,
      64.2829369462703,
      98.6545711018886,
      63.6020637287687,
      78.2142422481152,
      40.4905433385299,
      81.6515033746854,
      87.8394806372835,
      62.3752069987482,
      64.8265880034438,
      42.6514771842273,
      115.296971958488,
      47.5875043638898,
      72.6651701282732,
      97.5108846659837,
      48.5158894437223,
      43.751978418301,
      63.5496767519152,
      52.2805113348904,
      48.0628159897068,
      31.590765525361,
      53.8466855277402,
      47.4080710855179,
      58.4427490752103,
      63.346376983765,
      28.1082835940847,
      49.797797271278,
      46.0766739375455,
      57.5278151195831,
      58.9736842696631,
      33.7105643574883,
      61.4727211629782,
      39.4426913351696,
      58.3773940163889,
      73.1090241651007,
      33.7318480279848,
      58.7732605927565,
      45.1732786743258,
      64.6368552893179,
      40.1310587048369,
      21.5884454653593,
      57.7638895886937,
      42.2516755168944,
      69.5496662248102,
      40.4356714675097,
      25.3867986585906,
      57.2603599816982,
      46.9622625581565,
      61.7318301003396,
      36.1970662815603,
      31.9239069003651,
      36.0365421071819,
      28.9322606084082,
      23.1206221642774,
      6.12550642426669,
      0,
      -61.7309737453475,
      -86.5856407518996,
      -70.6054855127367,
      -94.819884623562,
      -30.9177041602274,
      -65.6842708211349,
      -47.3797547971938,
      18.3480260255171,
      3.63779881132515,
      -3.71479662090371,
      -25.1965972588577,
      -36.4664423630975,
      -12.8215194606939,
      -39.4765315982421,
      -35.1796109061175,
      -16.1668026418252,
      -37.2792767357452,
      9.22190447634386,
      -29.8981624926176,
      -11.7000071808487,
      -66.9872471208977,
      -71.629525695027,
      -72.2978158459586,
      -63.817858791632,
      -26.0284882783747,
      -63.5869600413855,
      -13.9334115722192,
      15.9643063536016,
      13.2083303348047,
      -16.7054054822604,
      -4.21455322663912,
      -46.1411353219902,
      -30.6759535558298,
      -28.7294636356979,
      -37.6549565034717,
      -24.5015241353797,
      -25.9563323670887,
      -10.8451430292304,
      -38.6614749334669,
      -19.1488118889643,
      -53.7793010431501,
      -39.7239363163128,
      -53.5715086866446,
      -61.7800538340907,
      -34.8871801297718,
      -42.0299484444451,
      -46.1837082374037,
      -50.5273916946814,
      -50.8101646805525,
      -39.9469514499883,
      -47.5683772454192,
      -45.5191618774339,
      -56.7953020986385,
      -52.1948009346826,
      -38.232987836565,
      -40.7413130289526,
      -54.0851428379936,
      -63.0335966728316,
      -60.3781763066309,
      -48.6284265654233,
      -49.7941335584047,
      -76.0224373725106,
      -62.535850002619,
      -57.6531019809883,
      -54.9816712844882,
      -52.1337935827314,
      -68.2930467100759,
      -66.1878986783841,
      -57.791001013315,
      -52.0764872142106,
      -55.5383445557297,
      -68.184355224484,
      -61.5788081127259,
      -44.4108304232074,
      -40.9221078510334,
      -29.9661230879474,
      -35.257436952197,
      -20.9463090284286,
      -32.9485335454351,
      -50.7968033989933,
      -27.5664429261697,
      16.4500617401996,
      9.59142538962891,
      11.3297594984316,
      -13.9106148845332,
      58.1680254374531,
      2.9363860335733,
      5.52909323299437,
      0.453267788302669,
      -0.979020669720641,
      10.3944524358628,
      -4.57508963889875,
      25.2797289951166,
      2.92582597744925,
      -5.22431750031372,
      -1.42040754583506,
      7.62747070433802,
      6.57875060700416,
      -5.61155112527904,
      27.3610943785598,
      35.590727521041,
      -5.71933143364405,
      -2.85678015746709,
      -16.9552328401549,
      -5.85519444484781,
      39.0591613764019,
      -22.8484288596653,
      -5.56386346064447,
      -18.856224879556,
      9.68003135447219,
      39.2744713302793,
      -6.22103061756185,
      20.1639354743788,
      0.745692919970369,
      17.022334320649,
      15.1936566813429,
      -11.1368859220084,
      -12.1788403602645,
      -35.7759878669885,
      -3.41985760032809,
      10.7168107583873,
      15.5934877728771,
      -8.84357654836421,
      -5.28088100569035,
      -3.40095177294316,
      9.50860305643827,
      11.47525217555,
      5.49926577008103,
      -27.7428820174715,
      1.28535664210198,
      -11.4292944941448,
      25.2907182844507,
      23.9665033707811,
      -21.319907944414,
      10.5576827502726,
      -3.32207622828195,
      7.36684928081206,
      14.1924063209478,
      -19.1434479609737,
      5.00957170823755,
      -25.0717038847697,
      -17.3350426683464,
      -17.9615726971668,
      -31.7376306986471,
      10.4089458406458,
      -19.7771017632215,
      2.67458653818841,
      1.62551045761309,
      2.82178141079724,
      26.1834711757391,
      -14.9443345431147,
      22.1441983833883,
      -3.5357139286552,
      -15.1674650611691,
      1.51720895433827,
      -41.070585504203,
      -27.305579123746,
      -50.0835685902124,
      -47.5374082534206,
      -11.4293584789892,
      -30.9250323694587,
      -25.6122764282056,
      -23.4249836781714,
      -50.1572985684164,
      14.9308350490759,
      13.9932068581609,
      37.2526542561127,
      -3.11752877455949,
      7.87062679593836,
      1.99699447575468,
      -17.6668781779628,
      3.52246601580633,
      -17.3294359335667,
      -0.277343518981616,
      7.13650653978651,
      -15.237272609392,
      0.418049649468783,
      -3.17285758974242,
      -46.80513792208,
      -26.0448233102128,
      -35.1144473532085,
      -15.1661747257793,
      -39.6090210496277,
      -23.1846692084528,
      17.2398202495886,
      30.3982154944792,
      34.1949828745847,
      -8.48945725691587,
      0.237292896231204,
      -8.07606233207452,
      -9.98701349243137,
      -4.65234800530055,
      -8.25908976168863,
      1.15329689970689,
      -8.6315846695917,
      -36.6074114203048,
      -27.0541045399425,
      -44.3204056838036,
      -51.3573185260506,
      -51.1745918498514,
      -48.9981541897791,
      -34.786605665145,
      -46.109856857902,
      -45.4870201526768,
      -47.7958261504841,
      -43.8814376575058,
      -38.0466628353547,
      -50.8787965233831,
      -45.3464100719904,
      -51.6286274018019,
      -48.3387043531603,
      -33.9715827562979,
      -53.9148361831687,
      -41.538843974249,
      -53.9434553491193,
      -62.4563383613019,
      -45.1240374411297,
      -63.980439426985,
      -46.8724997067863,
      -67.6600371114226,
      -56.243979233679,
      -55.3547833449029,
      -54.3763447263257,
      -54.9176080665761,
      -59.7005774501664,
      -61.792405959549,
      -55.5417376928691,
      -62.0547268081518,
      -49.7589033179086,
      -59.8827003308648,
      -46.6512155634984,
      -37.7623743771232,
      -34.0062851104093,
      -25.7764719757225,
      -31.514560901026,
      -22.4934861128121,
      -43.8352637260134,
      -38.6269152390827,
      3.17279190543332,
      -7.52346891165366,
      4.58407447039614,
      -6.73676568146411,
      21.994352791738,
      30.927604815246,
      7.44379201859176,
      43.9887054539607,
      5.47384539021387,
      31.318443358514,
      12.1082056254748,
      -5.61314855670575,
      -16.6734729930451,
      -22.4833048777021,
      4.22535506438709,
      -8.07139811396539,
      11.8010625548227,
      -15.5077035782554,
      -5.39692979742564,
      32.9539836780232,
      12.7249737686051,
      8.40656773208277,
      24.4894345617059,
      -2.4983498142302,
      41.7926720397457,
      3.42161989892961,
      11.6562391658871,
      37.8086864526079,
      -14.9662045241449,
      36.0034542453203,
      4.66378314896964,
      -11.9636391025132,
      38.8896241435322,
      6.87776890077758,
      -6.09395240910434,
      -22.6254357652034,
      4.15236004386286,
      11.8208323253307,
      -68.0457831159563,
      -16.156076709942,
      3.78670826786975,
      5.05154836969368,
      -19.8752756525934,
      6.06910289980307,
      23.9063272936611,
      -4.65672406816465,
      0.89317416536622,
      -14.3212177149984,
      16.933812846396,
      23.3971259574288,
      11.0320549390977,
      40.670131893266,
      -5.45441630998321,
      -2.60348249190906,
      2.01141355608714,
      -6.50850799170346,
      13.8635750292443,
      -11.8335173307919,
      5.48402673601519,
      -4.98575229615703,
      -24.6290701971373,
      -16.1694640864038,
      -33.0818563028892,
      -5.99370185752474,
      2.73176212279798,
      -18.0989527357298,
      -5.14372164540941,
      -4.04401410828528,
      22.4095671653212,
      16.8725564706883,
      -0.557394463141366,
      14.8724154854011,
      -20.4179561097076,
      -2.32868251934012,
      -21.1749999704661,
      -39.946085601746,
      -37.0636670377142,
      -52.4832940407842,
      -23.9130517119043,
      -29.6752649637829,
      -38.9379328005169,
      -7.4341904823165,
      -52.6628533585764,
      -20.6610846835287,
      16.2667162777976,
      38.79423246573,
      27.8297645940906,
      -9.99191573605513,
      1.18699565140001,
      -8.09915397940848,
      2.17042193289058,
      -2.3732657111251,
      -10.1713856404769,
      -18.7163140243706,
      5.22064555367909,
      3.26703410237538,
      10.1868356974147,
      -44.8195676223306,
      -28.1572663363226,
      -33.4808167669799,
      -24.4867304531698,
      -18.1551023673834,
      -52.5782697132881,
      5.66901432627853,
      14.506816830435,
      49.4849735758636,
      6.82834126789481,
      3.0139015714217,
      -6.8892631554257,
      -20.4095218604169,
      2.69206083456543,
      -15.980000423368,
      9.28633573539445,
      -2.3967087644473,
      -26.4463992004481,
      -33.7690915315143,
      -33.9187861498459,
      -47.4482808186599,
      -26.7887407133016,
      -37.219093872826,
      -32.7339014514263,
      -40.9409894243409,
      -37.5039672167184,
      -40.2446438428678,
      -33.7285710125467,
      -34.1069451471893,
      -43.4250161493021,
      -41.5419183838133,
      -39.6371198636524,
      -42.8290224976688,
      -30.4304473066276,
      -42.0098825315407,
      -61.1743816992243,
      -49.5675048543397,
      -39.23131720228,
      -29.6130876282098,
      -50.7320644026012,
      -58.9517910044829,
      -72.46487297641,
      -62.3982602481568,
      -55.3002242401363,
      -52.5707778052557,
      -48.6531944434386,
      -66.4531280590636,
      -65.5588469433448,
      -59.2049530433607,
      -52.3232890854752,
      -52.9286390532079,
      -66.2142699585305,
      -60.3847302864684,
      -44.0298563609532,
      -38.0911100113418,
      -22.0778217521326,
      -31.8415712985619,
      -1.98709496839719,
      -7.5774876442785,
      -68.4045404684775,
      -25.0341820546069,
      1.25422938325034,
      26.5881158691687,
      1.28974172213306,
      -29.1599972674308,
      -2.30876447368506,
      1.36548352662013,
      7.63974666219144,
      0.566036110256705,
      -21.9239271243605,
      -2.02367202544543,
      -5.34383307042492,
      28.8747775726711,
      13.7970792162217,
      0.689268643027096,
      5.22700423983492,
      14.77415593293,
      63.1269224111195,
      5.50934696197904,
      -5.87211376047295,
      11.2171100970164,
      -4.40006281686124,
      22.8022903015127,
      -17.9782130042006,
      9.50404137609641,
      35.8966619204082,
      6.7305176929774,
      16.3367364103433,
      -20.0690871757468,
      9.67290248233648,
      18.0249106328257,
      6.14283268689628,
      16.3827533926852,
      1.42290345951566,
      35.9975336213159,
      14.9340632761542,
      -15.4668144242104,
      9.30766838347669,
      -31.4923059847694,
      -2.10543191731954,
      -29.7817104140268,
      -41.2592791868845,
      -21.1698030204492,
      -15.1368973773299,
      23.5739527167097,
      -29.1592981880964,
      -37.826906154552,
      -14.4909253645262,
      -14.5435787982937,
      17.1922365061271,
      -28.6590764986462,
      -24.407393751203,
      -1.49786524397281,
      -7.1901232261371,
      30.6358387727302,
      -31.8908361255956,
      -30.1927025239361,
      -22.7824585672901,
      -4.65475620011095,
      15.0409388262083,
      -43.5609789016084,
      -35.6810671974542,
      -9.9968752751475,
      -17.6117541024775,
      14.5590633529623,
      -40.3521692129993,
      -31.0007196091589,
      -13.5554641243311,
      -12.3378558101086,
      9.31395547964856,
      -34.1793101351312,
      -15.9414937514506,
      11.2242156700848,
      27.2238162766181,
      30.9047017484315,
      24.5678385928508,
      20.3790604365161,
      5.72148878672199,
      0,
      -26.5210268301011,
      -33.1856842291604,
      -30.8334819064152,
      -32.6949021730128,
      -17.6005676022103,
      -35.8430491561734,
      -0.777441236421227,
      23.4608067784866,
      36.4460703134859,
      37.7480782588208,
      3.20188652739194,
      5.7854894165603,
      8.74182993368969,
      -2.13403198230254,
      -11.6002066414349,
      15.9415586998066,
      -16.8974981821576,
      -2.09497336798664,
      -10.5371138063418,
      2.99991765410018,
      -28.4693617697528,
      -23.7740366541341,
      -45.3987600139871,
      -45.4045659769553,
      -15.1914836056792,
      -13.7321036496517,
      7.60841849554483,
      45.5610887375236,
      56.2996143677992,
      21.3525006476862,
      9.94095607140147,
      6.29188828212809,
      0.952135972153623,
      -2.56801614713682,
      -5.56369228293226,
      23.3191902643435,
      -31.4317127567545,
      -9.61538735803627,
      -5.03945619181753,
      15.8444083911587,
      24.022159808133,
      18.7860668748282,
      3.28621000672515,
      -3.5419276061469,
      9.74353309145932,
      2.88221869188337,
      -10.7803770077418,
      -11.4514720796372,
      -13.338346620574,
      3.9407195151736,
      16.9253613128533,
      18.0788834602159,
      5.51264389378537,
      -1.32723982812257,
      15.8156999043738,
      16.2276061007076,
      7.58560385044255,
      -1.16929733202647,
      -12.6560764910388,
      26.3535485564935,
      27.0174283780799,
      9.63977907314229,
      -3.17221734387747,
      -5.66528853830718,
      10.0177443698937,
      25.1877852281055,
      11.3646250463275,
      12.3397123229947,
      15.8582787094907,
      14.8943929433333,
      34.4522253451118,
      29.0820499653506,
      24.8924950132516,
      20.9117174015203,
      23.8548284544299,
      12.6409848797219,
      -1.17642603923959,
      -4.17649903334362,
      -3.16491570916515,
      12.7327008860947,
      50.5910875620748,
      43.7269679765595,
      72.9282623579016,
      68.6396226261781,
      33.1685782260713,
      72.0222321502845,
      42.2904361812033,
      50.6745359785791,
      70.516170050736,
      45.204878377123,
      59.0358819831744,
      37.1865230369178,
      49.6607245607938,
      38.3220771202721,
      30.108435645605,
      28.9645290146683,
      47.7671972535764,
      21.7614621891874,
      48.0188568611692,
      39.8042763074044,
      71.1726317670614,
      37.3272397776717,
      -5.22677203927272,
      27.8100173670348,
      34.7147297548246,
      72.6362026940301,
      14.6194798900339,
      8.24648044108236,
      25.0297188879851,
      50.4542952277918,
      98.8954215608745,
      27.0056274056836,
      80.8939301528987,
      81.2535326882116,
      62.9618013623467,
      51.5928164682094,
      15.89127287496,
      56.4959323283415,
      52.8629538411575,
      17.694677635965,
      55.9379192858965,
      24.5162877090483,
      37.4523938780097,
      35.0350581717582,
      -1.51365202876617,
      35.9661288605077,
      64.4958634046761,
      38.0492113672269,
      18.3689751344127,
      16.4191469751738,
      36.2382342193641,
      51.8286952874959,
      83.6391928890913,
      12.6193532764039,
      -5.89983360159537,
      35.2021675576317,
      67.2591664076665,
      35.8692287260164,
      25.7759105925857,
      42.0201980047634,
      36.5922662134385,
      52.3578236325775,
      46.7757114148739,
      9.36854642268915,
      43.242033064377,
      40.3972150125595,
      56.5386594957051,
      31.3739117031342,
      14.9213209509212,
      36.1266444498244,
      56.2513901304007,
      92.8309494117659,
      90.4018662482981,
      82.2892470326798,
      88.9827058314556,
      -3.14154165069346,
      12.4076531251262,
      6.33671150793568,
      6.8578009963911,
      28.6984901950159,
      13.4596929583461,
      3.4995234852497,
      21.9033043780441,
      6.53362025668886,
      44.6235987041541,
      58.5309970583991,
      78.6367445450377,
      43.6629422645985,
      39.046415031601,
      43.9960414167865,
      41.3023010065382,
      41.5656208729373,
      23.8881746293665,
      38.6840875395768,
      17.7714523286165,
      36.2100643605393,
      35.7887684166505,
      24.574567738664,
      6.35907834846039,
      17.7994271434215,
      2.64564649517784,
      11.6063238229475,
      3.12936808517855,
      36.6361873373815,
      50.0048170063423,
      83.0180575571285,
      83.6364576965367,
      29.8062356452602,
      50.4817932856679,
      33.8654794591047,
      38.3430940844679,
      35.2890289406462,
      40.52897858419,
      35.2341699596038,
      19.8958691779227,
      19.5465100192226,
      2.30571952031194,
      14.5593589565082,
      9.57072786338718,
      1.37642681353142,
      4.8155514793176,
      4.87017708430163,
      3.71221834581706,
      1.05010526278253,
      -9.20914997060791,
      -12.6806351677509,
      -9.47764204781323,
      18.0736735770154,
      13.2113542045479,
      7.96038043711795,
      6.91879565970825,
      9.00845678112968,
      14.315685439698,
      -1.93688884320395,
      7.55803067982265,
      -7.47673218690184,
      6.3870846061902,
      29.9024545127423,
      13.9144566793516,
      9.44231592664239,
      -3.85870209073337,
      -3.62350835128289,
      17.4939613938709,
      24.315754913777,
      12.3601867922523,
      15.8048148393547,
      13.7771662698335,
      23.1880185916954,
      35.9817353191883,
      19.2845341911542,
      27.8474477604544,
      22.6338775070183,
      17.2562342496937,
      9.47022640674182,
      3.7554938471999,
      -8.00690895782524,
      16.7104635555451,
      21.5290142786608,
      42.7637779291737,
      41.2309602064209,
      30.5417523148916,
      33.7140607924779,
      48.5410267083766,
      74.0719608288097,
      31.0241922757894,
      62.8171229280278,
      35.5373932750589,
      55.2157235904204,
      38.1707441345623,
      22.7001938024378,
      23.0496998014663,
      34.5372361009206,
      33.4744881360965,
      36.8034971536111,
      34.7303326692215,
      22.2401459699284,
      36.8266595820422,
      43.9863588570173,
      44.8392300053885,
      45.178207210088,
      44.4367718657108,
      31.8812418776384,
      51.9678950509884,
      44.9205403721216,
      50.4577493631651,
      81.6787708452566,
      30.3347174338784,
      47.5988242095024,
      30.8828468696819,
      18.1144955135875,
      70.6437597488691,
      50.8127605270015,
      26.8113638901259,
      13.4022836675074,
      34.4807098096163,
      60.2666490238437,
      -13.1937695781707,
      26.9136571794157,
      23.4526188511499,
      21.4427961488013,
      28.4741271539586,
      29.9043039254406,
      54.5225411756701,
      32.8626473523296,
      13.0890754083581,
      17.5192861663999,
      31.7168898125987,
      53.7547022139548,
      51.8540872209893,
      57.1692632067796,
      31.3484047497471,
      65.8204179136669,
      39.0349905839521,
      40.7307815880685,
      56.5885178992353,
      35.4211742463441,
      40.6161624052819,
      46.9153355568031,
      38.6736719044659,
      50.761074457756,
      16.290590740917,
      26.0951063937122,
      56.9045737184862,
      39.587681972369,
      46.0444880654736,
      18.364015947056,
      15.4903398489754,
      56.7369307651895,
      67.7213444172992,
      83.534386586515,
      73.1417198420355,
      99.0068578749364,
      38.8101725655344,
      -2.47796833177553,
      16.1154219488758,
      6.40693318124609,
      23.2127371792915,
      14.2642021202977,
      8.4991399744128,
      20.2639296876077,
      -1.37991241728128,
      31.7177940507136,
      45.6293583611024,
      79.1017940211717,
      71.7592438640987,
      30.4458978674281,
      42.9420638311437,
      39.6916244593793,
      52.1884995926742,
      28.9609202388477,
      34.1582877451015,
      11.7699301608263,
      33.0155197158204,
      45.1039613736153,
      37.5823024206007,
      0.378543157183843,
      24.6437811075806,
      9.48545928878322,
      1.59379063354643,
      14.6834981787122,
      13.3551133689554,
      44.3336863855118,
      56.3279880648218,
      98.1344536388089,
      54.4546975089584,
      31.237378414056,
      52.7744131126716,
      32.4226749824896,
      37.1603591982904,
      27.4292113300375,
      56.9885017347921,
      19.0008948938793,
      12.9580648791071,
      10.389259172752,
      15.0028960227747,
      13.745595063991,
      50.8989744583845,
      24.2869075656223,
      16.335532046292,
      16.0999820790153,
      33.2580870673733,
      44.5882951715808,
      31.2104086131889,
      40.9147394991288,
      27.7255543918024,
      36.8323426487224,
      60.9281234323369,
      44.2365436442615,
      42.2258141692075,
      31.3621332991698,
      13.1683154734938,
      8.3292734148007,
      25.0697782763921,
      20.2976355341997,
      33.7998738340331,
      30.988030010436,
      14.3506428608791,
      1.34677760621566,
      -8.07790767283573,
      12.1238187872925,
      27.5884779366529,
      14.3388858049087,
      11.3828778658386,
      15.705546510082,
      17.5514039980312,
      37.3155977171877,
      32.883764355044,
      26.1547417671844,
      22.1187519779787,
      26.0541754826556,
      20.3393569859412,
      -0.0211754258085521,
      6.20445820441355,
      21.5994489221472,
      -4.63930347278802,
      35.7968054135667,
      29.0562568660594,
      49.9952257068158,
      14.5407576361839,
      9.31185630449756,
      45.7799700434126,
      32.8592832232437,
      54.9406379948997,
      24.633112270395,
      -2.9757774317414,
      58.165816541425,
      42.0930884994293,
      43.2310676161666,
      51.5009150314693,
      53.5422729514316,
      66.4108311088518,
      43.3576458716615,
      71.5143006709817,
      45.8314492762969,
      72.2532414979384,
      52.5600795048576,
      37.5823600854254,
      39.4285663586892,
      26.4750627109859,
      29.6155770693316,
      53.5080635470191,
      59.1555458985313,
      40.2542342862061,
      19.8815949341359,
      28.0304410580178,
      46.6262142778574,
      45.2550736472545,
      59.2545690057424,
      33.3435198776104,
      90.0137847204464,
      33.4946152273358,
      51.3642964094404,
      80.7960093947319,
      39.9653756914544,
      4.59063587932896,
      35.8374051021108,
      5.78553265248737,
      12.0017507216704,
      9.30657601335726,
      32.2911425151024,
      29.8770078717368,
      18.6543669187285,
      13.5387709117658,
      -0.621068593433538,
      31.9694080151875,
      29.7677395297821,
      26.004165689206,
      19.8709694700324,
      -10.1914839237143,
      49.1266666165128,
      26.7669816367238,
      11.3977100390112,
      40.3186476064386,
      -3.12648288083224,
      39.2583883208399,
      18.5688415929507,
      16.1318147516115,
      6.80543591020233,
      -11.1427168140377,
      46.4646886205643,
      17.0378759872776,
      25.1625468474475,
      6.32680803714258,
      -3.46536246639183,
      48.1901465905098,
      29.6563922319654,
      31.8090157115765,
      20.1326093268677,
      24.1928129664401,
      26.7594389706523,
      20.4014628679689,
      17.5638419956899,
      5.2784880390644,
      0,
      -13.9430960060557,
      -31.2695240985772,
      -40.5335139978607,
      -53.5723604449664,
      -15.2213179742948,
      -22.324893269869,
      -10.2617817774895,
      11.8452111161303,
      -0.678349857900465,
      -7.8629927121006,
      -2.76535651652206,
      -34.836131950903,
      -7.22008013462551,
      -2.40938033283596,
      -4.34926276792317,
      0.59349004006954,
      -51.2856992178996,
      1.0420980078307,
      -19.0401923520764,
      -1.52985979079072,
      -31.3855707456277,
      -33.6719268563216,
      -37.6971121393027,
      -41.9242932499473,
      -33.093774309906,
      -16.2204997164938,
      6.05470147037475,
      8.11304716073319,
      -6.20897689303247,
      1.3714827782226,
      12.4575143576773,
      -45.6454406601416,
      -4.88577019525679,
      3.53736655448903,
      -0.552508861557438,
      -5.8494664669881,
      -43.3465539797786,
      -4.07245648535495,
      -16.5998844024462,
      -6.81547392435068,
      -31.0925679657084,
      -5.53287556239978,
      -28.4650806931915,
      -18.7460920919763,
      -24.2545046549462,
      -21.7844693104851,
      -18.0729686440433,
      -39.2148660898625,
      -41.1092452894173,
      -22.5550966925957,
      -27.7772374901695,
      -20.7687623800087,
      -41.2791268810615,
      -32.7325198116098,
      -22.7611058227656,
      -16.0928422404083,
      -14.6271644697275,
      -28.3219298615854,
      -31.0085088218884,
      -27.3759712546025,
      -23.4533600116993,
      -54.9907841571793,
      -40.5394039135524,
      -30.6830255709127,
      -42.2787744321294,
      -34.5244846633859,
      -64.0335931344486,
      -57.090872306232,
      -44.1513911078192,
      -48.3329905281428,
      -51.2012974916739,
      -49.7515201652079,
      -47.0759594340108,
      -42.9079319067749,
      -30.6298309666388,
      -20.996416631818,
      -27.3612071071974,
      -27.7639740687233,
      -39.9237846610643,
      -50.6545160951484,
      -11.2685336731543,
      6.57033067379712,
      14.9759424540622,
      10.8114422064736,
      -3.09897725942865,
      30.1726474860262,
      4.46883977320936,
      -4.82825591397033,
      -3.89415356699311,
      4.23050986969902,
      5.22876272108382,
      -16.2724526308262,
      -17.2110407043736,
      -25.3678325758763,
      -1.09592114638219,
      -23.4646266908099,
      8.77979808692251,
      -3.14573926167398,
      -19.7849491678107,
      21.9975888721114,
      35.9247063200667,
      -3.62782797796071,
      -26.2733464312331,
      -27.8060913867733,
      9.66899266004276,
      31.9032734363171,
      -17.7828631755182,
      -2.23315316903408,
      -13.420453233605,
      14.954466743925,
      25.2641323012278,
      -12.8552049479098,
      4.33744393866538,
      -0.268272737142131,
      39.6772860848348,
      -7.88375376820187,
      -23.4275488924599,
      -15.9166065197862,
      -24.7523759534948,
      7.46003829384733,
      23.2285296173255,
      14.8908602259217,
      19.2824793824897,
      -6.19879728462916,
      -5.61762354429483,
      8.4705370016621,
      9.37465850894988,
      23.7037290157515,
      -21.3096680089454,
      1.79580554134806,
      -4.79183152296097,
      -7.27384525720966,
      -14.5308335245843,
      -40.3882984709143,
      -23.4802267882707,
      0.00350230459447124,
      20.1365227518873,
      25.2801917823424,
      -20.6006461973281,
      5.52854348135881,
      -13.189821540925,
      4.97026361601337,
      -18.9881468560765,
      -29.2886432722974,
      -7.31611412893904,
      -17.2176728882386,
      4.26998759717792,
      -16.4527625976648,
      -4.41303056827954,
      5.97066797408289,
      -4.77377548991136,
      -13.5949218830067,
      -13.7328625659795,
      16.8412695568367,
      14.1113832140268,
      -23.7426311564433,
      7.40122900380931,
      -45.0737240074288,
      -46.3843365359307,
      -21.1994521240743,
      -29.9093672630157,
      -17.8110052740545,
      -18.4641666319023,
      -12.1624398624337,
      28.5891584208148,
      16.9178708676191,
      25.1316008048123,
      2.30574036401596,
      23.0026584614599,
      1.38155739070998,
      2.49337445072803,
      27.7497209488813,
      -0.553081715580699,
      -6.91900806651167,
      -2.65821361015428,
      1.98498577977394,
      13.7821837410939,
      -2.88155830837197,
      -4.8106517480424,
      -4.70354952875446,
      -22.1439427035209,
      -8.01185646657574,
      -25.4501762031643,
      4.44910005060148,
      22.4897460096361,
      20.395812715236,
      32.0434246822696,
      -0.309913191874831,
      3.40945078927271,
      1.42142752575723,
      26.6217684917302,
      13.1388013317147,
      8.78127191568668,
      -0.518339915379937,
      -9.40612937006333,
      -1.45948318886536,
      -18.595303457724,
      -35.3223115173939,
      -23.5897749661111,
      -40.17800173604,
      -19.5655162986739,
      -13.8347737973416,
      -35.6417560529043,
      -16.4459270016542,
      -32.3774002053527,
      -42.6861838648799,
      -19.2203325573407,
      -35.4352502153549,
      -21.1561634861612,
      -36.4499124190054,
      -35.4905155218384,
      -23.8873359093197,
      -30.4804502815581,
      -20.5849502743924,
      -25.3282752180218,
      -31.18999445099,
      -25.2394920765631,
      -36.0744245466814,
      -32.1821351282924,
      -51.7288036166028,
      -33.3853158540323,
      -38.5551078632074,
      -40.1001616358274,
      -45.1677537019686,
      -54.7630026024652,
      -50.5785062038839,
      -41.819119197128,
      -58.9990603235007,
      -42.4568774778505,
      -52.9435688424949,
      -39.9542260697377,
      -35.0636919151441,
      -24.468351716799,
      -14.2910144765361,
      -35.4918747543163,
      -21.1654293755851,
      -48.4013980168109,
      -35.9842712269501,
      -9.52730385599557,
      10.9786808550074,
      20.7834863340931,
      -12.5992942665826,
      27.0110663158848,
      9.16136655908628,
      7.31054441773105,
      22.00489232651,
      -5.55554885753956,
      27.7707647543263,
      2.80292566705199,
      -11.9764904739559,
      -29.9838547811091,
      -38.3230433811832,
      -8.57585837114465,
      3.21885615339423,
      2.20597892506541,
      -24.2288846638851,
      -12.3691585780258,
      30.938590264328,
      14.0271815691986,
      -1.98533049587476,
      4.34784784180995,
      1.00372363114071,
      36.1573556411904,
      12.7190065536462,
      4.66468662338654,
      12.198715846068,
      -2.4482539026431,
      18.6308410981396,
      2.36973011555195,
      -21.1359578749197,
      -12.0602308402457,
      5.40862603350312,
      -24.0926953740657,
      -6.65801281698169,
      -14.6438999385908,
      -18.8904066359312,
      -61.8545257673503,
      -3.63058283486495,
      1.84584227793888,
      32.2352391225556,
      -24.2396505878331,
      2.30299969558939,
      21.8427262116635,
      8.52523050234827,
      8.50440920041558,
      3.91818436274742,
      9.83166158604475,
      24.7739690241035,
      -2.24059291631746,
      -3.4936792644105,
      -23.0977401852439,
      -30.6921171503607,
      -5.80911325668783,
      2.56484592693043,
      10.9305333589537,
      -11.8617125380599,
      2.17136286106761,
      5.33155993337839,
      -10.4058116122143,
      -4.89558599245422,
      -34.8275845516646,
      -14.853760730272,
      -2.75016190582941,
      -12.5001618319143,
      -3.56082657256426,
      -18.7807498007391,
      5.59475553178523,
      11.0465975287665,
      -21.4254538604836,
      3.62000996377895,
      -8.66843756856512,
      28.0867101309603,
      0.678259803640662,
      -15.2206592882244,
      -19.4956857704654,
      -41.3605627990357,
      -33.8686905585525,
      -26.9358875372776,
      -35.0324393880514,
      1.26878791450908,
      -28.1510559642568,
      12.7470865687705,
      13.554924095135,
      31.1415830261864,
      23.6813470786352,
      -0.946313825249454,
      0.0150029932269256,
      4.62687649383136,
      32.6258950164855,
      23.092196603022,
      -9.90007161633414,
      -27.3235217174077,
      7.75993786514658,
      13.5245953318896,
      20.1607167004652,
      -21.3917310619987,
      2.40777035644747,
      -15.7296365506666,
      -12.6071588380796,
      -17.5615599459038,
      -16.0048102746787,
      28.1364316414574,
      12.0395909620209,
      33.9982156896291,
      12.73245910896,
      12.7673903929524,
      -2.30052494494458,
      -2.07042041963368,
      34.3640031960911,
      4.20085933907233,
      21.2588613386275,
      -10.8776744572422,
      -14.3297175185949,
      -11.7125486873712,
      -23.4318678624454,
      -32.2031987497859,
      -12.09099659097,
      -21.5644032810224,
      -10.4316400659567,
      -23.0547818788644,
      -21.7068648397541,
      -28.0613077678114,
      -22.2789674616802,
      -24.6641388461539,
      -23.7722998415942,
      -35.3285811734094,
      -27.6062108024584,
      -29.9680181811365,
      -23.0202346316554,
      -27.022339349088,
      -35.5672899794003,
      -18.6698855256769,
      -14.4986116625396,
      -7.75240196184396,
      -40.521505369217,
      -37.3086910522452,
      -48.7836070692093,
      -42.7738968580582,
      -29.6339304082321,
      -41.5112404772278,
      -34.2707185059883,
      -59.4862839905494,
      -57.9393366227082,
      -44.4317668348475,
      -47.8984136655127,
      -47.8640825265939,
      -48.607749082238,
      -46.7326743271362,
      -42.40910422409,
      -29.1438351548004,
      -16.0473364354872,
      -24.7045327545568,
      -12.8202049322123,
      -18.2982511657743,
      -65.6895384530149,
      -14.3777567120464,
      -12.3575719920792,
      26.9767624314613,
      -2.33807441290206,
      -34.755523018449,
      -22.9835779622075,
      5.28506912454712,
      25.6894617526396,
      9.26561191716066,
      -23.1277923362515,
      -11.5252887700573,
      -4.15810039758909,
      22.8814227731891,
      -0.351234413162005,
      5.14777057349605,
      5.88270632847189,
      12.11036052336,
      30.0775201124732,
      6.11650475039315,
      9.81076768636478,
      34.4692658624475,
      -8.60232178982593,
      21.4680546458353,
      -18.7640742645732,
      -11.3142286330853,
      13.7544101776254,
      2.44756515483182,
      31.7822656878575,
      -7.94161214183182,
      -0.76574744851231,
      -5.11011155140847,
      -2.15167257463758,
      19.1114757382992,
      -4.13072998291789,
      33.7049037738501,
      15.66581326409,
      -11.5451631285043,
      26.3930605666731,
      -16.2645287928643,
      -13.9325534875492,
      -14.5403478590529,
      -37.944657196534,
      -19.3402829444951,
      -24.1206210472622,
      3.67784514965895,
      -21.1438371727146,
      -15.6311723057222,
      2.68263566164816,
      -13.6429287684113,
      19.6624295260219,
      -18.8281550148834,
      -4.89559001790287,
      3.75939784235232,
      -11.9044022062551,
      13.3692145102335,
      -33.4051789629888,
      -14.1397584115638,
      21.3490642870228,
      -18.0021006577435,
      5.36113892801547,
      -36.4910655212308,
      -25.0460098340333,
      -7.49359523639898,
      -19.9382980754306,
      15.3376188499181,
      -29.2952595775798,
      -9.08946845177479,
      10.4164806778521,
      -14.6097652931839,
      12.0169018641716,
      -21.9559880109926,
      -2.79825644347605,
      12.6351213968796,
      21.2172028470135,
      22.9949362835548,
      16.5041469051025,
      14.7433042086012,
      4.80148100359312,
      0,
      -27.6145852856523,
      -18.6761896728815,
      -45.8880197517134,
      -44.4953656087947,
      -14.6972953356391,
      -27.255155856816,
      1.12827701438593,
      2.47112464860724,
      -5.57357229205398,
      4.55244083248942,
      3.99798682579096,
      -13.3347209069616,
      8.90870001922057,
      9.18825087255338,
      -15.5113185370352,
      -4.2239410897803,
      -12.7157169176765,
      24.1737656744501,
      -6.69678217916143,
      5.94534443503378,
      -17.2939378443822,
      -25.9898671136318,
      -36.1702754526044,
      -35.3632840970613,
      -17.0969630335358,
      -15.126042474576,
      17.0584412480602,
      20.0652208381438,
      24.2070881728523,
      19.5513414859577,
      12.1916233432523,
      -15.1229319594062,
      21.3912194667717,
      3.07428452955154,
      -9.15215045464752,
      -6.06441677817568,
      -17.6761745619414,
      21.5480174054458,
      14.6902932325743,
      9.63724521553921,
      -18.7487661395631,
      -2.49105556132979,
      -5.36819592858515,
      -25.1541574359235,
      6.29339415473957,
      -4.66954128925583,
      -14.6492135053516,
      -2.55871482344185,
      -7.47187734382338,
      3.60114788946074,
      -3.11991221390211,
      -3.16633621515595,
      -2.8390836687462,
      -5.22446099651931,
      10.3717824829412,
      5.37427828960305,
      -3.83708161471246,
      -6.67579592459528,
      -3.31052371488823,
      9.98725598598363,
      0.543667466159382,
      -8.94684629644323,
      -3.84915042315764,
      18.2961317646713,
      13.3325014430458,
      29.1072573366582,
      -5.11761693066191,
      5.40819178867843,
      29.4223585139579,
      9.0903286042468,
      23.1743223084339,
      14.1144121346035,
      11.2305427920175,
      13.2929335330534,
      23.9116932980503,
      1.85278925554339,
      11.0185914787161,
      0.720851163345494,
      -10.5229720692446,
      18.0375047703078,
      35.9598320275665,
      43.6894112051361,
      68.3195579214052,
      61.0411367367469,
      43.918649012451,
      60.1596884436508,
      46.4557309050535,
      40.8221033597841,
      52.6442729668242,
      36.106817564253,
      59.2517708957173,
      30.5324233471511,
      48.8855317483698,
      40.4853980775107,
      24.6248208725535,
      49.2411096933547,
      49.6337843164148,
      35.6910935872056,
      30.3815224865676,
      29.1260515346106,
      56.4525583081632,
      30.1108432772904,
      1.97795704202864,
      19.2548559751049,
      40.9912475892248,
      56.8192116076512,
      29.0352078918116,
      36.6481683623018,
      37.8029059680998,
      44.1487045347169,
      74.1655978770525,
      23.2657462766172,
      50.3830617181336,
      52.7010683361346,
      58.7257937568698,
      48.4885222766069,
      19.4003294007586,
      46.7856225308397,
      33.7977665251989,
      39.7906821683869,
      57.5265453060838,
      70.6790757108271,
      48.0242248106454,
      27.032066618513,
      21.5767864286918,
      45.4625993804956,
      28.9260965466411,
      37.6191571497028,
      23.5644998189561,
      22.5601494428428,
      33.1233977369565,
      47.4249256153289,
      48.4400162714264,
      13.96890404169,
      12.3232395033534,
      28.8037713391939,
      51.8279925633662,
      33.999343292277,
      21.4533209382581,
      24.1775621524863,
      25.0655780068412,
      28.4091635295839,
      22.5284202916296,
      8.79840122052264,
      20.0168381372302,
      7.31734321651549,
      27.721465409319,
      17.5971258825121,
      33.4890700784989,
      21.1277664186608,
      19.3499766663105,
      40.5030613231276,
      13.9902554276204,
      15.3110618199775,
      24.6681689260829,
      -17.2822880717268,
      -2.62573420428162,
      -17.4990663933911,
      -28.169570142631,
      -1.36840589598646,
      5.23224770480392,
      -5.36667309838604,
      18.1776814631985,
      5.25414141209457,
      32.8447705803497,
      37.1941631918053,
      31.3877554696559,
      34.9876876431197,
      24.5994657388818,
      25.7012194944742,
      36.9210029818825,
      28.6999477759183,
      21.4390936085467,
      16.5484958567763,
      23.675403080397,
      35.1635843952742,
      43.081553236599,
      22.594929736016,
      17.5589969151655,
      0.169225513187486,
      4.3972725620261,
      -0.690739763640332,
      5.112478683076,
      35.3433966884126,
      31.2489774222536,
      50.8564137958202,
      52.6258617328544,
      30.0913901432586,
      29.1923399261502,
      28.7331953394017,
      47.2495694663428,
      16.1260514252286,
      41.2938987938049,
      20.9669860659434,
      19.7876915556133,
      27.7696653458364,
      5.27132489201794,
      11.6949542324097,
      -5.83847013283059,
      -16.8088111604833,
      -19.4592316675499,
      -9.90209138221338,
      -2.21816769937365,
      -9.47076062144866,
      -5.7461731635453,
      -17.4310627144665,
      -6.70572007988517,
      -6.43246440281553,
      1.18235709645203,
      -6.08069004118016,
      -15.6889947811497,
      0.660334590028616,
      1.11468319289461,
      -4.63120264000228,
      -3.75187034766717,
      -22.1352010119146,
      6.7822933947627,
      -9.02232187888854,
      2.77681512675066,
      -1.98738375784343,
      -2.42340164867125,
      8.68132510761898,
      18.7488655109476,
      10.358360951154,
      2.25092355404414,
      10.415860455069,
      9.7879859140457,
      8.92270972218999,
      23.5909555719346,
      5.95372417640943,
      9.99684932790242,
      10.367377412476,
      16.0872206511339,
      1.98509801857087,
      4.45605421946672,
      -20.1022244207645,
      3.17617284880991,
      23.4636534368449,
      46.8371073893715,
      49.9095093857819,
      43.889808438798,
      41.0797877083132,
      39.0800569170289,
      61.013330102745,
      69.0450745216325,
      60.6581848061224,
      44.7223455834279,
      40.683093176821,
      22.9993891682977,
      7.24125777083675,
      -3.52788012597557,
      19.5778944008215,
      12.1305757983764,
      36.6298066955475,
      28.3139728199747,
      19.2347806919754,
      21.7294618419821,
      35.6402040090878,
      40.484888098218,
      43.706486058976,
      51.7119910009291,
      28.836208384725,
      36.2043077343893,
      43.6804390901503,
      40.6989391356651,
      52.9565397314139,
      30.4812943196414,
      40.018292847004,
      25.3558656018031,
      27.6240461105517,
      51.2050344076529,
      58.0510696490044,
      6.02522762436255,
      19.3839215176157,
      37.6963980999914,
      33.6673786475313,
      1.87019669067207,
      16.3617231362469,
      27.6928921047151,
      41.9109588363072,
      39.1213504185451,
      25.9164566440037,
      38.3858111017332,
      21.937579393002,
      20.4464124178344,
      22.811569625216,
      25.8458733900462,
      38.1813343114061,
      34.5373481640278,
      43.1326833938183,
      30.1051040652425,
      3.14549139321458,
      13.6938141596001,
      24.6702280147404,
      45.9768960134635,
      38.1614511121416,
      28.5601988550443,
      22.0888814726399,
      16.0816358660363,
      24.7503062756564,
      12.3707628441217,
      11.6890598242818,
      14.1811839512867,
      16.0658865107502,
      15.142779307513,
      26.5278142815584,
      24.4994015998363,
      17.776663814199,
      34.4021457371005,
      19.7926984828533,
      12.9165517649124,
      19.6749511541302,
      2.72527102048135,
      -10.224344450763,
      -15.0792154609906,
      -13.2618937157482,
      -15.0324730706803,
      1.21485237400798,
      -5.97832605564262,
      12.3664200286934,
      0.714538291239321,
      29.5097973296353,
      35.5285999425538,
      32.6962895961481,
      35.7761742844886,
      25.275789148496,
      20.4634110755714,
      33.1006002645507,
      45.532777340628,
      17.9956927429478,
      19.7806589566168,
      10.0710976644611,
      32.8682033539207,
      43.1561722575445,
      33.7540074294359,
      16.6391038489336,
      15.3581293621729,
      3.29237739080186,
      2.85806443404966,
      2.55933097767098,
      9.46245159779745,
      43.5709406509418,
      35.658502641592,
      60.1483204223628,
      43.0271144424733,
      29.1885042904528,
      22.5876747358647,
      45.8920550087431,
      33.4024662849257,
      24.1207660320665,
      31.4319765842301,
      18.8374660664125,
      23.1451087918932,
      19.6567427441193,
      7.47885272525508,
      6.50080400142825,
      28.7816393440222,
      32.5022946820952,
      32.6168594727281,
      27.0320057568219,
      33.5884649843626,
      32.2934029911366,
      42.4779223643489,
      44.5278780354087,
      27.8853380629874,
      33.4656803952448,
      32.7544949295446,
      29.8133858116623,
      33.3032169701345,
      22.4068709657404,
      4.09853045943353,
      5.9097275660041,
      22.9277163817219,
      23.7556472541178,
      14.0485134698989,
      0.202922289456951,
      -3.76811925502282,
      -2.5102588409928,
      18.5406397655798,
      15.7356741854857,
      31.6363230860456,
      -0.450996500794179,
      5.69807324391432,
      27.5333706967073,
      11.3345019249806,
      26.9199238107573,
      13.8413620098611,
      10.6644307078257,
      13.6294257703781,
      24.9890993631667,
      7.56121640978088,
      13.1302697683157,
      6.92179838101344,
      7.52664587970803,
      3.2387306665249,
      31.7402801666326,
      32.2690180065797,
      52.4759534112896,
      13.3904339141276,
      13.5204430428112,
      14.9091236397199,
      37.245858693059,
      53.414317557012,
      35.6541580688633,
      15.4645989382846,
      34.0506746281068,
      26.9118763622629,
      40.2770966266564,
      46.4831634910952,
      16.206946126297,
      24.1218564282269,
      33.5372502377672,
      56.477872396815,
      33.707684277303,
      39.3225451984154,
      61.2065681406855,
      37.363592126481,
      44.1478353297006,
      32.548858933717,
      26.7350214075463,
      33.4299068012921,
      49.8385590840319,
      54.081324952827,
      27.3145801287307,
      44.4558242837441,
      52.2617912544393,
      32.7436711129846,
      40.4433109201426,
      36.6955582074633,
      51.2601373066447,
      33.0304507999551,
      45.6106120198961,
      47.6895563473274,
      31.550649187138,
      20.5380042446513,
      2.23250190379459,
      -2.38311064211887,
      -4.04884136323207,
      12.3945625094245,
      32.3398808439234,
      13.1467706088314,
      -2.38354189742462,
      4.52010408765408,
      12.5942206983254,
      34.7036109747221,
      15.4913753739574,
      5.10539505151205,
      18.3129252270239,
      4.39728731122687,
      36.1185278251136,
      6.51049180238732,
      2.9175097004229,
      40.3681411981651,
      17.2151270616557,
      29.790527966528,
      -2.86213244084544,
      -15.8130502441742,
      10.7925591422742,
      13.9105023411971,
      38.3526512341547,
      2.78267318989145,
      -7.46397631271469,
      0.86593505387781,
      20.6698217133851,
      35.1143449972976,
      4.91308734141642,
      2.49315257091541,
      7.16626950957851,
      17.9394377452645,
      19.1683871607244,
      12.9001511595739,
      11.9763881576725,
      4.29570336179738,
      0,
      -35.2243210620743,
      -45.6454021681134,
      -70.4384848550105,
      -67.4056543635839,
      -41.0866850732229,
      -58.6618238142239,
      -46.7776853566503,
      -49.2815777831465,
      -69.3352717373078,
      -30.0533084301858,
      -22.902401608124,
      -35.682504731077,
      -17.6335926128973,
      -35.7815272601605,
      -24.5907973084797,
      -40.1874072408822,
      -56.1466914307019,
      -29.7781075554815,
      -31.3970815105074,
      -29.6815676528088,
      -37.2463652191089,
      -31.9323380628569,
      -44.159993986259,
      -47.8975161970765,
      -60.3326208134632,
      -60.089427880394,
      -31.4180672963669,
      -55.8418077694465,
      -66.7434176834309,
      -33.6394664472826,
      -21.7636289707493,
      -33.8298668649153,
      -27.115351912361,
      -46.682284554993,
      -19.9859649800218,
      -40.4898666400154,
      -44.3700361939366,
      -31.5049557167697,
      -43.2205727774128,
      -37.294559601699,
      -42.6345351539942,
      -34.7084280622787,
      -42.8135328756779,
      -37.1396095413482,
      -30.2044242320999,
      -31.6456838798955,
      -24.7438115863042,
      -36.6578826407736,
      -32.6200176879594,
      -33.3859220287289,
      -30.398506613707,
      -32.4096565778805,
      -44.6196055566896,
      -38.3936117705653,
      -27.5061102410555,
      -12.8708147729121,
      -18.8414214842566,
      -29.5930392406291,
      -23.3229063260375,
      -27.7964807191284,
      -28.034071803583,
      -56.9416145132314,
      -43.4837833024129,
      -40.7969400665227,
      -49.4789477524625,
      -50.4889596830875,
      -39.6104336606497,
      -44.5258892502901,
      -45.2120429098206,
      -46.0536110189837,
      -41.8155306948965,
      -41.9599991072648,
      -36.6555935033727,
      -39.0890984281625,
      -31.7754327910522,
      -28.1960270813166,
      -33.9025405812939,
      -17.2312850624917,
      -37.0439405473456,
      -36.3397900721814,
      -11.2525985164392,
      -0.476575272087888,
      -9.88608814305172,
      -13.1065969720792,
      -9.82076579848714,
      -21.3273675847207,
      -4.65424668570009,
      -14.2024475211437,
      -19.5106940926674,
      -16.2810896170408,
      -5.34314023936908,
      -12.1521805482117,
      -13.366128062867,
      -26.8302287996909,
      0.238730434856487,
      -23.4006047668924,
      -11.5495992274116,
      -15.1914076165531,
      -34.1526912112196,
      3.70207217667631,
      16.2470735073247,
      -6.76516056614178,
      -5.12454019111403,
      -32.883782514383,
      1.30624336707728,
      3.6354102743405,
      -6.66896651253744,
      5.6495019856419,
      -25.3845260966044,
      -5.12590553665039,
      -10.5430661045664,
      -18.3878660288962,
      -30.9060871677551,
      -20.731376280026,
      8.76666982339331,
      -4.5580627944339,
      -22.9817727889892,
      -27.4454134646901,
      -23.4236283680009,
      -7.45557519723892,
      9.80611909756222,
      -0.779039586229785,
      -2.46529447731235,
      -8.6472350697937,
      -14.421613242056,
      -12.8827030840296,
      -4.37580753660471,
      -2.04017158760146,
      -23.6672024236281,
      0.928309832609764,
      -7.0792731672654,
      -14.5617438033765,
      -27.480745993337,
      -24.6231985456179,
      -22.3287417873753,
      -10.6033374403921,
      -6.90223727049704,
      19.3676528225469,
      -26.2201200971036,
      -3.19408048628727,
      -43.6016082352918,
      -47.9288346156749,
      -42.6147921656269,
      -22.1639175795404,
      -15.7752611567161,
      -39.0706400585067,
      -45.550420910227,
      -40.2522533838721,
      -21.6594970862307,
      -15.5196402434071,
      -38.8237254303064,
      -35.9340100599898,
      -19.1309012979038,
      0.880889924911814,
      2.05844699602322,
      -23.7131214964903,
      -5.334997981964,
      -27.5065925584328,
      -36.0582618770199,
      -18.6454135006606,
      -28.7692905422857,
      -21.568489551427,
      -20.6394695349081,
      -48.2720992191015,
      -17.2824729651258,
      -28.3251838495352,
      -24.1240169467001,
      -6.95216330186984,
      -12.0533034376458,
      4.59698448167778,
      -6.02177947887804,
      -0.301464630745891,
      -13.481504915848,
      -38.0814821476413,
      -19.9832366883217,
      -6.13542241399797,
      -12.6063488182028,
      -10.5505960699587,
      -12.1474262394884,
      -11.8608009334452,
      -26.324614198709,
      -28.5719843641361,
      -44.680334972703,
      -24.2785828947056,
      -20.3872609725504,
      -26.2083775240683,
      -16.3140965331355,
      -16.779467174344,
      -8.21409970831894,
      -1.06333817864181,
      -12.2125893645659,
      -8.39175451736881,
      -8.13651367282077,
      -17.8061507620874,
      -17.2378574598433,
      -25.979820904036,
      -33.8876054119017,
      -39.5505673975718,
      -35.1947559354917,
      -51.9837264011557,
      -38.8275210045357,
      -28.3811040774014,
      -36.626217166838,
      -22.8165112648095,
      -34.9363783684571,
      -41.6969855748636,
      -22.9421076338258,
      -44.5361541527602,
      -28.4248551579185,
      -41.9846022496124,
      -42.0138954211889,
      -27.5533053948464,
      -30.7467438323458,
      -19.5294882288,
      -33.5632596997899,
      -32.2711818669539,
      -23.4618179265048,
      -28.7321631336931,
      -50.141227797544,
      -43.7198931717189,
      -39.8231379634011,
      -40.6889230979406,
      -62.0133559798799,
      -34.92097926296,
      -43.5888304151352,
      -49.7392217081792,
      -40.6589119768326,
      -47.1213452756937,
      -36.7833834335912,
      -42.7944453790373,
      -40.8202912885105,
      -35.3337010158718,
      -33.7070243846746,
      -25.1823723115427,
      -30.5288841675349,
      -19.98975942591,
      -46.723647346802,
      -26.1324271862471,
      -9.1821010705895,
      -18.6931930598005,
      -18.6978671486136,
      -25.3588451102299,
      -0.318605288438478,
      5.50414606057499,
      -11.4552144140113,
      -12.970871643727,
      -19.8973988083042,
      6.7659357164428,
      -4.92578260636426,
      -32.1171698902504,
      -32.057668676121,
      -27.4314932869726,
      -33.6101617901792,
      -17.9508777484253,
      -18.0049922125692,
      -18.8027719373051,
      -18.9493372033637,
      16.3757475835441,
      -5.93615321879754,
      -0.659153620892388,
      -6.10022045467512,
      -14.1825521713349,
      14.6573967058698,
      -4.26150265256927,
      -10.2193412485501,
      -2.83998639659816,
      -13.4979244577961,
      10.2566951630623,
      -3.49658487551864,
      -2.7658412128708,
      -30.4546647575807,
      0.905037803251846,
      -6.0582114456027,
      -21.4936874574458,
      -51.5946324982813,
      -44.8817471654066,
      -47.002101202939,
      -7.49785643511452,
      -17.3760943972967,
      0.393775831715215,
      -17.3104034059523,
      -3.79902667035789,
      6.10876797734427,
      -3.11456938066407,
      -7.08324546419772,
      -14.8870656661126,
      -5.5435929792985,
      12.465477088933,
      -10.0340926244271,
      7.13526300430485,
      -10.0311578567841,
      -24.4112707622017,
      -10.6975667119069,
      -9.66527660354454,
      -0.398174901806883,
      -18.7092180412256,
      -4.78674203825621,
      -23.3362225977972,
      -51.061235937461,
      -43.2203900583111,
      -34.6408557931356,
      -11.2012842929507,
      -24.0839375945474,
      -42.6300045350089,
      -50.7770570227277,
      -27.4796906770815,
      -21.1327671622368,
      -23.8119633612729,
      -43.3257329939891,
      -26.5125419653957,
      -9.81278339044013,
      5.90145061044213,
      -24.6244087051858,
      -6.32903192038999,
      -19.5121607502666,
      -34.8765338465108,
      -23.7795721400149,
      -25.4638961612414,
      -26.3503240174256,
      -20.9382599064424,
      -42.4100969998306,
      -24.0526435567476,
      -20.9213215658794,
      -36.0938748689655,
      -3.90025493729791,
      -18.7488105008431,
      -8.08238355432189,
      -0.826010895638829,
      1.74674810640802,
      4.46004730591873,
      -32.0707989844831,
      -38.4075734850907,
      -10.8298573948186,
      -2.94061393206785,
      -6.64458362388032,
      -21.1211554229075,
      -11.3222222252472,
      -18.1646451056451,
      -23.5480523600527,
      -36.3650337015307,
      -45.1788181120376,
      -10.0232767598909,
      -26.2604472104126,
      -29.1875656661809,
      -9.49002986646135,
      -14.2576948067463,
      -1.15931005350713,
      -8.49736488411341,
      -11.6863785030737,
      -4.23994580392128,
      -13.6168302754613,
      -17.9240345655267,
      -24.7847252615526,
      -36.0784111091378,
      -37.1568574487989,
      -31.7820243928219,
      -38.2419740050611,
      -24.2467786960274,
      -28.7682677607444,
      -31.4273779935854,
      -45.4436477278113,
      -12.8433231978597,
      -23.1372171805763,
      -27.903423359735,
      -33.6072651669681,
      -36.176992255846,
      -22.2015566036144,
      -17.8061064726411,
      -22.6216495167281,
      -23.4490362564649,
      -30.1799736487562,
      -30.1071497543313,
      -12.5947224725056,
      -1.87504090395125,
      -36.8643584656712,
      -35.0388589500736,
      -52.0522475324248,
      -44.186339077501,
      -39.7341619969424,
      -47.4091994086717,
      -45.370287313749,
      -37.6755082908176,
      -47.8597577932978,
      -46.5144459099512,
      -44.3960540107466,
      -37.6328373561038,
      -40.4060689034365,
      -38.5165432354939,
      -38.4441370168088,
      -28.8351629195955,
      -23.4109282380455,
      -32.2599960748747,
      -8.76832050302759,
      -23.5256760536484,
      -48.8983543024946,
      -17.3022403904118,
      -0.798178331787853,
      11.4470141615343,
      -0.981911252416302,
      -25.4968274339673,
      0.202660206686727,
      9.19634301574974,
      7.22437309814351,
      3.59588028039405,
      -17.5538341343986,
      0.0184811052817494,
      -2.8922139991952,
      -0.474642561980661,
      -5.34037057104751,
      -14.5939688207654,
      -28.8575613537221,
      -8.04114943538441,
      1.00300373182626,
      -15.9015959981396,
      -24.4106049052454,
      23.8027593509773,
      -11.2858202084301,
      12.1842703922124,
      -19.815488250118,
      -15.3969010085755,
      9.28187299723573,
      -3.93011347179823,
      15.7830807505882,
      -1.70776555623027,
      -9.69555764941889,
      -16.5339446165842,
      -22.0546555007385,
      1.75977185329646,
      -7.25546853368417,
      -18.5789345744601,
      21.9031604751928,
      -24.7487112563041,
      -17.7683466995837,
      -23.7374317678582,
      -30.3561588359476,
      -40.8874476394208,
      -46.5387335082075,
      -27.7216336849126,
      -9.71454657220393,
      -20.9128237048082,
      -41.8689347587656,
      -37.5631791341293,
      -18.2738998616325,
      -13.9005250954391,
      -16.9969008169239,
      -43.3102194593554,
      -46.3803429161226,
      -19.0059434144345,
      -12.0731428027254,
      -4.70988669431476,
      -26.5160042643582,
      -10.3639238081696,
      -15.2036977383157,
      -18.150187652488,
      -24.9002257922712,
      -42.9613769204667,
      -38.8604128145181,
      -12.9626334554176,
      -27.0262562667004,
      -35.1359178814315,
      -47.1090227472755,
      -45.0216681187751,
      -3.40167396297832,
      -30.4768860246521,
      -28.9956013054709,
      -40.6281233371116,
      -41.6157877007775,
      -5.39170473387454,
      13.731347656708,
      14.5530850680068,
      9.58022922516729,
      9.31089241809922,
      3.76656207787972,
      0
    ],
    "mfcc_delta_curves": [
      29.8735234453986,
      -7.09378035377629,
      3.65148456351209,
      0.362206265389883,
      -4.49929680037878,
      6.45457089576429,
      -8.93151707267259,
      9.65185256183469,
      -0.351285151089785,
      -3.64092486628463,
      -2.65593339370434,
      -0.325088846216039,
      6.77820419962819,
      1.54799209048705,
      -6.33655618291188,
      -0.780431701700288,
      4.61048332698194,
      1.59630447142319,
      2.73632833830897,
      -5.53583719998141,
      1.68776515678205,
      -5.23436983905203,
      5.87033386082907,
      -7.1555347413556,
      4.77874013011593,
      6.66816470378144,
      -4.01463830471583,
      1.65428697812574,
      -1.92150061958581,
      -4.07884862068705,
      5.89610741371671,
      -13.0921988249873,
      6.30363857507296,
      -1.38572085686439,
      -1.06871382645225,
      10.0950671112992,
      -9.8793554013875,
      1.72789879645326,
      4.99522397852607,
      -4.16521043320152,
      -1.2387031559599,
      0.0958668445416856,
      -2.16420083493468,
      -4.49216130278381,
      13.8634681888471,
      -4.79986654211501,
      12.3911329018463,
      -10.1210096500292,
      -3.85527505409539,
      6.5869787120769,
      -4.90225100270152,
      20.3875542263038,
      -19.7831020828226,
      -3.0612636430548,
      7.29522105154828,
      -7.92411095511391,
      29.318188863359,
      -26.0936236570031,
      0.658213965108905,
      4.17596026496001,
      6.38464793089764,
      16.186044553886,
      -17.8191354654867,
      -4.27547188343116,
      4.66913637980961,
      -1.29756623158515,
      13.6812597413375,
      -14.5083153559126,
      -2.64693801636843,
      9.19642278518392,
      -8.66120527904713,
      7.37691485569776,
      -6.86130662936683,
      -1.85915134810005,
      -1.61569457482838,
      -2.8266180663849,
      -0.560494795518815,
      -12.2258324411692,
      22.8558463347723,
      -3.57567302922335,
      7.94742183994257,
      1.50073889084258,
      -3.7357786721378,
      11.54357957725,
      -33.9469837938141,
      25.4045696226723,
      -6.94227367301137,
      2.79220358078082,
      18.3814993150247,
      -24.1202829059214,
      5.08570360783616,
      7.21061828041151,
      -12.0161410195891,
      19.0687882021215,
      -8.70119704426087,
      -5.38013762868462,
      4.44665606210692,
      -7.06753790547939,
      8.18327773202191,
      -16.9194126008655,
      9.40056805797663,
      -5.4325016728454,
      1.98382222639268,
      8.81910436226618,
      -13.7764333601495,
      10.8843665617294,
      -4.21647049541817,
      3.09093203874216,
      2.01976424020416,
      1.53911892709642,
      7.77077706277511,
      -11.6564927402486,
      6.63115306556708,
      -22.6158958939191,
      14.2999250257998,
      17.5940655721912,
      -16.4784186125786,
      6.99026069692696,
      -2.97573258895003,
      -9.969804302362,
      24.0730015392521,
      -18.3108567017389,
      -12.1312608487609,
      -0.249853646798707,
      19.3493054991831,
      11.2683916326118,
      -18.6823835192832,
      -10.1725465979462,
      8.81774860651694,
      6.68764699052197,
      9.10051606541179,
      -9.98994295292448,
      -1.55239345158016,
      -2.97162742903841,
      5.02671144795505,
      4.32213032963741,
      -11.8250159386076,
      -4.18386856687722,
      -3.37389358711327,
      1.1285946336487,
      4.26430841722762,
      1.24271973010596,
      15.1844636472751,
      -18.9167880385014,
      -5.65886120380317,
      10.1785244655534,
      2.0695726432014,
      16.2451401919034,
      -30.3328990055354,
      4.44357399984513,
      6.41300445375793,
      -2.3557408920826,
      25.2728549497324,
      -29.8585954605301,
      4.6748699985653,
      0.731048621028136,
      10.2548099486658,
      16.8090706027785,
      -11.9359854491609,
      -13.0888316641138,
      5.99148065062404,
      -15.0395683335219,
      20.4380747978374,
      -4.18570618791927,
      -5.61547358017481,
      2.29953983957098,
      -0.666054203333505,
      -5.14540201903509,
      8.36815453397328,
      -2.42428603352473,
      -12.1448634142647,
      13.4790864789553,
      -0.69675635627936,
      -3.27146046033392,
      11.6941917910072,
      -11.47888647696,
      0.919910815153071,
      3.41355568879387,
      -12.6344042610574,
      26.4794548563242,
      -21.0656141395844,
      5.19593420165795,
      -1.53712595098723,
      -0.0995922603636941,
      21.5556866682683,
      -17.4861916287499,
      -15.3672240435892,
      14.8669288045831,
      -6.83821862515638,
      21.5982900880725,
      -11.9167290991546,
      -21.2608824141361,
      13.3756270309339,
      2.21934719185435,
      12.3942835283365,
      -2.30613919093482,
      -17.6048476160721,
      9.73351739026275,
      -6.57041783893427,
      9.62078544917276,
      -7.21482830794217,
      -5.65639115246235,
      -0.842774722840079,
      9.74050272409326,
      1.94123443979399,
      -7.11358094002422,
      9.57396173957419,
      -9.27496481325022,
      4.23444662726751,
      -2.29083771562688,
      -7.62206390627509,
      24.1872575507063,
      -20.2782374086501,
      2.88850091398035,
      -3.2018371463995,
      -12.2893107149895,
      37.6972873902867,
      -26.7864375032657,
      6.39836129863949,
      1.13711548901228,
      1.88314495366443,
      14.7446440780814,
      -18.7000241932486,
      2.48657816077617,
      1.32383398089406,
      0.392940396672741,
      9.68614948613777,
      -12.2228577346732,
      -0.603334206724084,
      0.0444620092409321,
      -0.000380046370079664,
      -1.35927323519015,
      -4.65269039650823,
      4.84020567026221,
      -10.5357574454662,
      9.72995138073874,
      10.0748353929632,
      -10.0943562191515,
      14.2255547436239,
      -21.3630244233882,
      11.2518359432714,
      -3.95454980741798,
      -13.6145235293088,
      35.1316880619099,
      -20.51090753085,
      2.23114411478112,
      -7.44470585099923,
      -7.75956491764235,
      35.1294697934378,
      -18.2792065281859,
      1.92661944580358,
      -7.97757020203475,
      -1.01305489526565,
      21.502031553126,
      -13.1168457602841,
      -6.63359637617269,
      -10.9233550740453,
      1.82903700045019,
      24.3442808364919,
      -7.15956404772257,
      -12.1855826973563,
      -10.9445064416305,
      12.8687997937558,
      14.1141174995385,
      -3.3473436546474,
      -4.34874728007654,
      -15.297751315811,
      24.8773149696894,
      -4.743270935192,
      0.345207513528653,
      8.12444352866454,
      -19.9511118855129,
      11.7489881339565,
      -0.50540851057406,
      -0.999713013735318,
      15.1876153872998,
      -25.4188345564843,
      7.88863301460371,
      -0.0137326063638875,
      -14.0605232763274,
      29.8579505576803,
      -31.7675133141769,
      7.40605373504339,
      6.47289774777145,
      -10.5604005661181,
      26.8009123865285,
      -13.3921170864993,
      -3.76353207690662,
      6.79291016731633,
      -1.17225002718773,
      2.81052780864312,
      -5.24346481854744,
      -6.59004825914777,
      0.26658226971555,
      7.36855301262128,
      -8.95515998495589,
      -0.782127567264754,
      10.2661137576583,
      -10.2785250375372,
      8.94385981164767,
      -12.2644637703967,
      11.6458424568479,
      10.8058717226059,
      -14.6988614011012,
      6.96495729334121,
      -17.9854788800105,
      10.4659608078188,
      20.4179707283295,
      -19.1550915145137,
      -0.60132188989868,
      -7.69154631769789,
      0.924437800590578,
      27.1033582278073,
      -19.6656720194147,
      0.670768238822937,
      10.4200370769238,
      -10.6248065726211,
      15.4283911802273,
      -10.1916751593697,
      -15.7889126682612,
      10.8664688113804,
      -3.79524409597645,
      14.4429764584356,
      -5.67964550239088,
      -10.3306218647091,
      -3.24310216777028,
      10.4554246808745,
      5.67394915083978,
      -2.72367604644797,
      -1.60018804903233,
      -11.3596859225856,
      13.7502228257009,
      0.305684591481825,
      -3.57848205269584,
      10.4303423205952,
      -17.0636321610512,
      6.70477535097122,
      1.59165429845689,
      -13.7918629009889,
      28.8762290753376,
      -17.1897905866233,
      0.696942805285886,
      1.15386420123131,
      -7.53497095558086,
      21.3173422137027,
      -15.849930915499,
      -12.5851483052232,
      7.94137006241721,
      -5.36311368980823,
      19.0690697599761,
      -6.61958112138549,
      -14.4251786823338,
      5.29433820575466,
      7.76776488458504,
      9.14315562477263,
      -17.5730511938793,
      7.54144479190478,
      -3.11850774417557,
      2.62174287377853,
      2.0109951345973,
      -3.32586669484467,
      8.83899048089396,
      -7.93750537316004,
      -0.2666364574428,
      2.1389749599251,
      -4.25401846314781,
      16.621280312777,
      -14.4464394399521,
      -3.66417449906516,
      4.23005153994682,
      -7.11800241091163,
      24.9242455581502,
      -25.0263081438392,
      3.06212806085303,
      4.06302546943231,
      1.2342226473661,
      16.640872837096,
      -17.8091579298494,
      -4.04699275976948,
      4.39002017128537,
      -1.6650663976238,
      13.9820602993263,
      -14.3799970825997,
      -2.54973912806162,
      8.99233449686103,
      -8.74659872894742,
      7.64529697152344,
      -6.85412352482424,
      -1.84340397063922,
      -2.05295622496927,
      -3.03121361481714,
      -0.537773039220744,
      -14.75904009263,
      24.9030475963873,
      -3.52409771083733,
      8.12342446477225,
      -1.07713984371869,
      -12.6617794655839,
      21.6060727026582,
      -15.47602892283,
      1.02394584471283,
      1.39266361851473,
      -7.154604780589,
      26.3432998206416,
      -24.6101090219908,
      3.54904978736328,
      -3.13192711665306,
      -8.28405026236997,
      28.3623516864849,
      -21.4070453975049,
      -10.1528702053874,
      8.93823579438741,
      1.60844677422124,
      16.0570554044226,
      -15.2569276998946,
      6.93063622693257,
      -7.39756971203407,
      -1.47122011831716,
      6.48009906963741,
      -0.042915304170609,
      -8.11621334067909,
      5.79772292474876,
      8.18710870221243,
      -7.53184884045582,
      4.03990460938112,
      8.02137635220419,
      -20.5751556791423,
      12.7352956342679,
      -4.96344225205259,
      -3.28404254530641,
      18.6667480947697,
      -19.4057597827916,
      9.2077027390799,
      5.2826088096004,
      -14.5653070493861,
      23.6554460781969,
      -31.1391122980825,
      4.56202925028483,
      4.51543061845548,
      -3.61404499106507,
      22.4630440170498,
      -28.0768939475342,
      2.26700208485128,
      6.58100618506537,
      -5.86583699906132,
      17.2271735869736,
      -21.1012929702839,
      -0.836711072607819,
      7.36593632913024,
      -5.93891456761356,
      10.2205983455679,
      -7.04488120129568,
      6.70958919947543,
      -0.552459962104954,
      -4.63189197737022,
      1.52513601327176,
      -7.08206969761759,
      16.8712912313865,
      -10.240606959834,
      -2.64255458794327,
      0.71991594329882,
      -5.57683376376062,
      29.4138318121138,
      -22.9210011228767,
      -3.144412661354,
      -1.33807932533494,
      -5.9191043301779,
      0.486804611469686,
      -3.22967897128637,
      -0.420666071760318,
      -0.651259093225382,
      -0.732481702228238,
      -0.694582142844598,
      -1.14536880629481e-15,
      9.96986785260753,
      -0.844431566509988,
      1.44663482424481,
      -2.71656331087239,
      -0.0839623550532169,
      -1.13480535592104,
      3.12483223984567,
      -3.83109955465363,
      0.0773453642399314,
      0.517427816560315,
      0.903884874453554,
      1.78739856233752,
      -6.91615064737218,
      5.46514740284735,
      -1.86253440070018,
      0.81466940941251,
      3.16013669876149,
      -0.21807227098761,
      -0.508619471733524,
      -2.2014503764417,
      0.611640540871268,
      -1.46577365035239,
      3.83367394007492,
      -0.893917280028625,
      1.89023101236555,
      -7.2451987901027,
      5.70348403683873,
      -4.44322365018355,
      3.12557441285873,
      1.08985143745168,
      -1.93418526591538,
      0.829338930006566,
      -0.840219374953703,
      0.244202932634256,
      -2.1478358837242,
      4.49509339249779,
      0.228634578415878,
      -2.29952484147916,
      1.96374235049808,
      -3.99819412846719,
      3.80642158844781,
      -4.04400803678295,
      0.881211207931078,
      -0.532663044738268,
      3.8199417018319,
      0.520037550929505,
      -2.13095094992125,
      -0.963687101122428,
      1.28920426106753,
      1.80825559692494,
      0.351271272603266,
      -2.27613028490955,
      -0.643027648889293,
      0.229492875239844,
      1.75171688823695,
      0.621684194431585,
      -1.80234705050448,
      -3.10627310435362,
      1.90185975794797,
      1.08896839855357,
      -2.50116292843413,
      3.33615423527871,
      -1.29124780614685,
      -1.65069423471617,
      2.16751257493021,
      0.940522639748575,
      0.241171772409082,
      -0.890233414910381,
      -2.48123777100261,
      2.14232199216933,
      -2.14790439689925,
      1.10585615127959,
      1.15922624787243,
      -3.23445088450709,
      3.49065944796007,
      -1.12851789096017,
      1.09289185247525,
      0.561711613205166,
      -2.02423292095831,
      3.50571600526221,
      -10.6107283202409,
      8.06645912090505,
      -2.83812896733458,
      3.49824804308076,
      -1.37545338774804,
      -0.498179970921358,
      -0.819268473096141,
      1.10282190378799,
      1.64908562073155,
      1.87351228931053,
      1.22775358141392,
      -5.62616672610763,
      7.71600170878446,
      -3.84616957746929,
      1.1608366762227,
      0.737430746738591,
      -2.77837454479179,
      1.30518733878987,
      0.576629609220869,
      -7.1984801583985,
      4.89385510837008,
      0.200302801458067,
      -1.98975624728202,
      -5.80842904432207,
      3.41782769436127,
      5.83821323760973,
      1.41974364598343,
      -7.2834338835983,
      -4.87124401769456,
      0.00885477465563663,
      9.61138967663738,
      2.07523526424313,
      -6.35521271711472,
      3.12250349043012,
      -6.20106335506487,
      7.99465590240236,
      0.628550998611527,
      -3.13330431590495,
      1.66069351370606,
      1.47447371683999,
      -0.816719460152546,
      -4.02233379099602,
      1.06573324501784,
      -6.2489123422687,
      1.62984354428032,
      8.15754386440999,
      -4.44609123001081,
      0.691790684202545,
      1.88295951726719,
      5.40197915699435,
      -4.50267503379418,
      -1.98874604430256,
      2.13492526550317,
      1.87438963707593,
      -1.13936735911804,
      -0.899543822704873,
      -6.00129903255465,
      5.93250683740495,
      -0.141078272876429,
      -1.22989681348539,
      0.0500191343695895,
      -0.934788226005088,
      -3.12557155035389,
      3.75044871691528,
      2.7164511461961,
      -1.17180728197978,
      1.03884670161431,
      -1.22529222975812,
      -1.16023985819258,
      4.12042001995467,
      -2.76229848992385,
      -1.85190198509453,
      2.09042175767782,
      -2.6981381670399,
      6.19373768275573,
      0.556615750979823,
      -0.432832221969533,
      -1.81678992406072,
      -1.70783215425741,
      5.22838156751981,
      -4.33875680357168,
      -2.79907194154278,
      4.84481979788898,
      -4.52580197819844,
      2.05571613343978,
      -3.69796361861591,
      -1.29672424800376,
      7.66785063626222,
      -3.75979940862133,
      1.92611818822577,
      -0.123769266273388,
      -4.85341410197258,
      4.91091352506859,
      -0.346860540558764,
      -0.00338843346876788,
      -6.34255802348247,
      0.855025582069517,
      6.44570217697276,
      0.278060694082297,
      -2.47536239571261,
      0.483448285759896,
      -0.97293482638176,
      -1.12205668783749,
      6.26086856167926,
      -3.91934398856075,
      -3.2403384688527,
      0.565853527804392,
      0.0869010470406292,
      5.94672057597048,
      -5.14028876233969,
      -0.76080539965304,
      1.28143799581075,
      -0.70050927621271,
      3.66259976280089,
      -2.60245221275542,
      -1.61748963837226,
      2.11669584494983,
      0.665488008558825,
      -3.38802048175205,
      -0.875739452604244,
      -1.42753810235472,
      2.78660901176254,
      -0.484350405092994,
      0.49488853619451,
      -0.465314157154881,
      -0.856245959079709,
      2.23642574508237,
      -1.56369126417998,
      0.00505469580658562,
      0.243388203260573,
      -0.683688765162331,
      2.60162593772445,
      -0.499090052624728,
      -1.74624435826724,
      0.2472835846691,
      -1.09685628555524,
      3.66081541881288,
      -1.06342093759995,
      -2.66730538645848,
      1.87356562926464,
      -0.951733932252557,
      2.8770568151978,
      -1.42466032967483,
      -0.74352580329841,
      0.552688613783304,
      -0.244414664918169,
      2.85391478127903,
      -1.44898920654098,
      -3.33180434783844,
      2.6689032632885,
      -3.72408250576175,
      5.02543877789711,
      0.445918262846889,
      -2.01345135316755,
      -0.244469467184439,
      -1.85068300295919,
      3.72700574894444,
      -2.29806766475827,
      2.78163984812868,
      0.387300713692978,
      -6.90697093778271,
      -4.77956705312349,
      10.0311397065706,
      1.49453324283276,
      -1.8588098508346,
      -0.9199527467353,
      -7.76335558308946,
      10.7521909284787,
      -1.14823276841535,
      1.48848196406199,
      -8.85593757096744,
      0.679431041410356,
      9.7250789133101,
      -2.40825768242253,
      -2.12620191905244,
      0.831189622448954,
      -6.71910955236143,
      4.7311438296281,
      1.86047737362458,
      -7.30226969049299,
      7.95026049034484,
      -4.97296351815227,
      -0.135536331363253,
      6.0017994171793,
      -5.04542161962622,
      4.39214609674972,
      -0.0120749781959452,
      1.66777335293499,
      -1.0647005672505,
      -2.47447521662109,
      2.13226292107033,
      4.82684959375488,
      -5.58154137758886,
      1.32855534260541,
      -1.93861281819644,
      0.119503783375122,
      3.00109920330883,
      1.15312981138083,
      -4.61458306461521,
      1.52008176917448,
      0.521391762023193,
      -3.95972624213624,
      8.88610417480658,
      -8.30782482503454,
      4.17525605512128,
      0.875458264418327,
      -2.15768292143386,
      4.70539840485238,
      -4.8504196029181,
      0.113218752636988,
      -1.06868650354628,
      -2.38606712441825,
      5.95044362231742,
      -0.412192332387954,
      -5.50810045988668,
      7.06472978062087,
      -3.60422244867831,
      -1.6899543066789,
      -1.91464538054183,
      0.307291299697225,
      5.96495957145864,
      -3.28917463913919,
      0.151052257141241,
      -0.721191500591081,
      -2.99402449646923,
      4.66566687714888,
      3.77944958278376,
      -4.7541873731505,
      -0.689213313591998,
      -2.68774855277292,
      1.23572696162884,
      0.792892687342597,
      1.80716482592315,
      1.13414651184832,
      1.32236938126595,
      1.41279831310011,
      0.82728239956197,
      -3.79982444115349,
      -2.56353990815519,
      1.16966282026167,
      -4.38955725306002,
      4.92224238835524,
      -0.806045982080837,
      -3.7823578086075,
      2.73895565522363,
      1.18940627514861,
      -0.487742915500694,
      -1.64922052293119,
      0.986712241147357,
      0.824586198660225,
      0.873063502108821,
      -0.930929388742844,
      1.19882072149009,
      -0.249769779241528,
      -0.267279571888758,
      0.191759637304073,
      -1.56985644338,
      1.55550299934125,
      0.540778313499787,
      -0.355614386591444,
      -5.07193862803948,
      6.1989409197711,
      -4.2181651168372,
      3.10197130138863,
      0.474964362378708,
      -1.37525465706066,
      3.91910943803095,
      -6.8987556841563,
      2.26564724191097,
      3.02758797018722,
      -2.29791248012402,
      3.44181490384716,
      -5.52028117349778,
      1.89940237272281,
      2.18440004846796,
      1.35136119759624,
      -3.00972299633449,
      -0.935733768418613,
      -0.605116148183129,
      1.83827784179181,
      1.16701852520743,
      -1.25708833015735,
      -0.517870615344562,
      -0.556153893121693,
      1.08028354210079,
      0.704061303645547,
      -1.04312168353638,
      0.228026515853936,
      -2.22346638833209,
      2.42247364969663,
      -0.791020406691726,
      0.885587032968513,
      -2.29726614979454,
      1.97204392728653,
      -3.01636360404665,
      -0.741592655164758,
      3.51499824919766,
      -1.37896638499003,
      -1.30382091375848,
      1.72479549024628,
      0.632870799515437,
      0.736402494619083,
      -0.855247422039535,
      -2.50254223529337,
      1.92898470872025,
      -2.30617013440035,
      1.59093781585366,
      0.938630394980472,
      -3.19969664618494,
      3.16769868286916,
      -1.43823928468727,
      2.03029262791584,
      -3.69500710755942,
      0.553065483068867,
      3.6966708217111,
      -2.29357314220524,
      1.81173597568362,
      -2.29931670216385,
      4.74481144356187,
      -2.62324106294439,
      -1.15175896429891,
      -0.750155302272614,
      4.57409373559022,
      -2.30219463626347,
      -2.16557618536262,
      0.828588737678774,
      -3.11316431543323,
      2.16144980843819,
      2.96116444836092,
      -5.43269275794206,
      5.81209681497869,
      -5.10332197351433,
      1.23579234349841,
      1.45295164928313,
      -1.92877968371941,
      4.66857109813671,
      -0.808133494936258,
      -4.12891171033141,
      5.09499472487091,
      -2.24598673678492,
      2.66842079490389,
      -11.600038723346,
      6.88724052200785,
      6.94271625786893,
      -2.7422438145188,
      -3.06249453806889,
      3.93131492029936,
      -6.68480598650524,
      2.88733030921999,
      4.52436064206167,
      -3.40588183327326,
      -4.75613910001233,
      -3.11498852417673,
      9.94628272224951,
      -0.806242159371971,
      -1.16651719711987,
      -2.62787400579684,
      0.481399008477653,
      5.7194500347782,
      -4.27763231521511,
      1.2152785819826,
      -4.61153416769081,
      2.87855464555571,
      4.03862235568359,
      -3.84734101265458,
      0.324441895268786,
      -3.06609873442293,
      1.04735769495315,
      6.60451985509673,
      -5.89623186613902,
      0.582519474831237,
      -2.29998112330095,
      0.343487337667038,
      6.62952606544849,
      -5.71023702478223,
      -0.314873933603395,
      -1.69308776429952,
      2.82431496612964,
      2.57335086654747,
      -3.90162576516292,
      0.807692034720625,
      -1.1332767990163,
      3.32134558665969,
      0.226786995811526,
      -3.23583977700506,
      -0.368514034078478,
      -0.768041317218316,
      4.47973848431393,
      -2.87273869276763,
      -0.48178277024032,
      -0.894823456818584,
      -1.02261092129582,
      -0.97742678332404,
      0,
      3.41981715289815,
      3.11629058688989,
      -1.83367157096455,
      1.05526621596483,
      -3.10489555989818,
      1.1149553574381,
      0.771050306772119,
      -4.62570467576323,
      0.976692213277734,
      1.30487490461831,
      -1.71192178878143,
      2.35105006851191,
      -0.463248768133117,
      -3.75582369841683,
      1.64064782601957,
      0.353977022268,
      0.689055633275515,
      1.48025629157123,
      -3.92279317140889,
      2.33867073146234,
      -0.621777486726642,
      0.704385013716753,
      2.89270797972927,
      0.97715212826197,
      -0.772874623645722,
      -5.12148114797016,
      2.69776269048354,
      -3.33847825604331,
      2.74523208872185,
      0.905236153651169,
      -2.89509919672996,
      2.98415101087061,
      -1.24527210277607,
      0.545493818696379,
      -0.736439825091137,
      -0.165945957001328,
      2.52521922073019,
      -1.44006500737934,
      -0.480486524825176,
      0.831498497188093,
      0.979042523664474,
      -0.583830307639557,
      1.20301002083651,
      -1.72556535132475,
      1.99992623059681,
      1.19123462543661,
      -5.03933152084254,
      0.70057887788654,
      0.996167387138615,
      0.867519038053143,
      2.67380683775241,
      -4.97079909023747,
      2.15963215374177,
      -0.0957609616937816,
      -1.61854970086439,
      4.63754420440559,
      -5.95828496965109,
      -0.021956813747657,
      0.360293857911824,
      -0.00511395631716738,
      3.72602350866452,
      -3.42697769249271,
      1.72080122221037,
      -1.91704337811386,
      3.32354109354669,
      0.692046961784114,
      -2.67310018161656,
      3.11397536119004,
      -3.03391573568701,
      0.938635008706406,
      3.70040466495634,
      -3.77142795159072,
      2.70075241070848,
      -1.17694779966257,
      3.5466473737615,
      -2.63069021619262,
      -0.866435910947456,
      2.02357516477905,
      -4.62277789822147,
      2.25088200545644,
      -6.41563644234428,
      2.49503649849504,
      0.748548545106771,
      -0.316324468599675,
      3.16927267163262,
      -3.85457251371758,
      2.33149336744154,
      -0.989972598210708,
      -0.430241042157919,
      4.4526608382217,
      -2.61094204402872,
      -0.96400149016099,
      1.01663223910808,
      -0.55459736392539,
      0.743764418319795,
      2.07731797527049,
      -1.21063212378559,
      -1.10278933090977,
      0.186872583818642,
      2.29971928613705,
      -1.11619574644039,
      -0.184508054059877,
      -4.1495300286086,
      6.21566233847917,
      0.445728852407047,
      -2.86942216839003,
      -1.50348388867829,
      -3.24673112075239,
      7.7753947158735,
      -5.55756728637337,
      1.93029107038856,
      -1.10203040337519,
      -2.80913349013867,
      7.11505160653432,
      0.00715703143186808,
      -5.30969660872966,
      2.46107048144496,
      -5.53006864561113,
      4.6839548845293,
      1.62237000911689,
      -2.39376026004618,
      0.73658299986817,
      -0.363412108866072,
      1.37549105461832,
      -1.68577149233364,
      -1.15389783247167,
      0.256482829984083,
      3.63695673616167,
      0.832757262657115,
      -1.77826399328221,
      -3.68360006807871,
      0.857937467946239,
      -0.75909957796753,
      3.77474187683171,
      0.345222760922176,
      -3.98025263250842,
      -1.90611523557834,
      7.43053857694024,
      -1.3431424282121,
      -0.901509029036577,
      -0.42640440089555,
      -1.41948612202434,
      -3.12680526999141,
      7.19615779243544,
      -0.547878804547641,
      -3.47291929683211,
      0.788623793748022,
      -1.55117795913338,
      2.87706209092523,
      0.593809637125868,
      -2.71383120328651,
      -2.494671953351,
      1.65533275215087,
      2.74487559269542,
      4.62541971872566,
      -5.48166676946162,
      -2.91311510582463,
      1.58649289625758,
      1.10007333343443,
      3.81318320182679,
      -0.544717936148705,
      -0.934883541918597,
      -1.05855412143354,
      1.48281889126628,
      -1.40947647514601,
      -1.43734770632515,
      -2.15927520159821,
      6.13339995603469,
      -1.83929134522345,
      -1.1520091230772,
      1.07480276950078,
      -5.28426054830384,
      5.22464981210637,
      0.920295821905327,
      -2.44173919862065,
      2.66876061265342,
      -7.59381599990154,
      5.36280177498034,
      4.88113984490359,
      -5.73612381147018,
      4.10098037166633,
      -5.10785028724277,
      4.28262932809341,
      0.244021930415266,
      -4.27428265946956,
      -1.67983909298881,
      2.05685783723179,
      0.495054323449317,
      2.41463660677606,
      -4.14828880271005,
      -1.50035352736434,
      2.95774416237005,
      2.95143527687686,
      0.412943364063934,
      -6.35860547864237,
      1.08554408866005,
      1.64086528625863,
      1.20437769711192,
      -2.96472535955412,
      -2.65113447811454,
      -0.0864595683837174,
      4.36047389421275,
      1.30704526397485,
      -4.0148727054502,
      -0.936459057453684,
      1.97750917145053,
      0.781415619567442,
      0.589215723306332,
      -2.46848564300846,
      2.03200278484479,
      2.4038042553609,
      -2.64303524606115,
      -0.504436631741487,
      -0.369794425723641,
      0.3498578158945,
      2.45462659207988,
      -2.00328730981583,
      1.25437529535508,
      -0.0409174691023519,
      0.221730627252546,
      -1.5801309043481,
      1.64135895355372,
      2.98764989280098,
      -4.13869559701906,
      0.856390160785003,
      0.132503029383394,
      1.18156939581482,
      2.9072913166396,
      -1.72322375257971,
      1.15407310841066,
      -5.11800068863134,
      6.1352358378172,
      0.440954589569771,
      -3.55539310263069,
      4.00099818234777,
      -9.03361570804999,
      5.08192533763179,
      2.70178588172915,
      -4.41724026968946,
      5.80199086229389,
      -11.0729346885896,
      8.92411352656858,
      2.96148290194997,
      -6.73322572990882,
      1.33316176473412,
      -6.95028589939003,
      7.60636416516873,
      5.34724131429297,
      -7.46265420234378,
      1.87498726180665,
      -1.59498397011727,
      2.65424540516011,
      0.580554331086213,
      -4.19519825460066,
      1.1957302625213,
      2.59388837283341,
      -0.586186159168854,
      -0.370496464028422,
      -4.67341414901769,
      1.04337134903313,
      0.10182823286065,
      3.45589397537037,
      -3.24164365549148,
      -0.350431279621381,
      -0.547775710291263,
      0.666882994901814,
      4.05166625536181,
      -2.71833685331397,
      -0.24583382318356,
      -0.831260895899155,
      1.08568832028384,
      1.92765989054547,
      -3.31008468696802,
      1.25814117970084,
      1.45713652985879,
      -1.78965164936357,
      0.429036639093917,
      1.98042757471403,
      -0.385213609547234,
      -0.0235402821696367,
      -2.30289533293356,
      3.6855722053099,
      0.28817485709596,
      -0.242235106951695,
      -2.09041835256426,
      -0.684079350917395,
      2.20760805994957,
      1.27887725701829,
      -3.62852859997921,
      -1.38384217022815,
      4.92230918943133,
      -0.160883626336604,
      1.07905099803945,
      0.698114403362548,
      -5.65890497384429,
      6.15064463802814,
      -1.63265503850074,
      -4.03917721517974,
      -0.100612180081743,
      -3.24040779877213,
      7.82421827844419,
      -2.19215526011779,
      -3.76064126896985,
      1.31319935062976,
      -3.09742200671486,
      7.83592753899743,
      -1.31810258638057,
      -4.80840462804805,
      -1.31013740274447,
      -1.42653293662387,
      4.62280209585564,
      2.65164647462735,
      -4.38510581425324,
      -0.877120168045962,
      0.652820988057247,
      0.185918142609248,
      6.20168869832763,
      -6.02520475708598,
      2.29878639905869,
      1.63391358141045,
      0.575557226206912,
      0.164640031233774,
      -6.21526623450581,
      0.436288289909802,
      4.59153482706452,
      0.0223608540078934,
      -1.57345227556731,
      -2.39632950558389,
      -0.538186740577223,
      2.08529543950426,
      2.62873021540186,
      -3.88685303307819,
      1.06936287392437,
      -0.953593117570134,
      1.13010809423121,
      1.82030838688307,
      -1.57456405778453,
      2.45075151745499,
      1.98041231652343,
      -4.36474150246982,
      -0.346000535738908,
      1.31518055770094,
      -0.780632411123517,
      1.81882991683807,
      -1.46654715177872,
      0.70451666166989,
      3.54316385242811,
      -2.97075300389064,
      -0.214548164705009,
      0.4561886938075,
      0.446290944503553,
      1.56556163125672,
      -1.16708407313451,
      -3.71019706642416,
      1.709436528044,
      2.80833725728053,
      0.223497210659633,
      -0.48751785429638,
      -3.26315927585665,
      2.62601606552929,
      2.73677943877061,
      -4.48858069939621,
      1.18196382148715,
      0.105176278838061,
      0.41349892216038,
      3.62725786668687,
      -5.31386700871532,
      2.67212759814708,
      -0.0231534852372031,
      -1.93056857280975,
      2.14363280056341,
      -4.32222185884463,
      0.969580558455974,
      1.39163770448036,
      -2.27780508605411,
      2.35088355237016,
      -2.99445080033074,
      1.86452713563667,
      -1.98306269317523,
      3.12732302256599,
      0.277350275914665,
      -2.09542258743448,
      3.20804712215329,
      -3.08003992986391,
      0.802352598584668,
      3.41008440690699,
      -3.4974925318961,
      2.7994843677493,
      -1.23994091227361,
      3.25458610987193,
      -2.71625490822828,
      -0.202293793223464,
      -1.45096241501191,
      -2.63295445571751,
      2.13366720885715,
      -2.29962364955913,
      0.968970553249593,
      -0.720955125124534,
      0.764605340092716,
      1.2686835669708,
      -1.61862114436069,
      1.65740443356818,
      1.88152072915859,
      -2.94554477211754,
      0.32335408894987,
      1.55181220689278,
      0.544276969038875,
      2.84182336631658,
      -4.54937326021083,
      0.723950526862327,
      3.31863659537448,
      -1.62442724719677,
      -5.21996457256313,
      4.05446426486934,
      2.18205216357956,
      -1.61851104400829,
      1.91168746505816,
      -4.59090299259424,
      1.51524832367725,
      1.8167731811133,
      -0.0111000137415938,
      -1.49863500853825,
      -5.18424907437903,
      3.30204118678092,
      2.08430441528634,
      -1.18926525136385,
      5.42760281065568,
      -9.08605970240125,
      2.4390025367153,
      4.36262766992359,
      -4.54261635415626,
      -0.293979718735833,
      -5.54698673178667,
      7.07079210027111,
      2.08675637053769,
      -4.00592139492914,
      6.5043656780566,
      -4.11269104253723,
      0.235912126009337,
      2.68077850144981,
      -4.68628720182881,
      5.19533952032284,
      -2.8447271148494,
      0.658464605420764,
      3.05368051955053,
      -3.60505117803608,
      3.13132412772292,
      -5.03976502344544,
      3.5339254172181,
      0.794609321923229,
      -1.12633824387749,
      -4.62265968266688,
      1.11595756297391,
      2.82636159314753,
      1.50515532743972,
      0.349766208842013,
      -0.864147092263047,
      -2.58104894918507,
      2.78329503067569,
      1.10975697354987,
      0.422203424026153,
      -0.607826076615721,
      -4.77188667099077,
      4.1353578143503,
      1.47328366931756,
      -0.590227122080422,
      -1.64762705465876,
      0.729763874556418,
      -1.20029725343491,
      -0.229723572041308,
      -0.82006370694688,
      -0.9835735269486,
      -0.96293393979154,
      0,
      4.32339024544734,
      0.246909321837477,
      -0.989691238841249,
      2.23531032841776,
      -2.96265494214714,
      2.48249312390496,
      -1.42646960633081,
      -2.18746567914018,
      -0.0701416069428401,
      0.703162474709781,
      -0.352349604042153,
      1.78031282845355,
      0.361488887755464,
      -1.60859034743086,
      -0.561432286750535,
      -0.760387339140314,
      1.19815278933653,
      -0.778529654633783,
      1.03098327662231,
      -0.868282667559214,
      1.64871276404012,
      -1.18222089187142,
      3.39928494996832,
      0.0487885827175373,
      -1.65880592996165,
      -0.782867294044381,
      -1.17181536782571,
      -1.53909554835126,
      -0.740439200988166,
      1.45939149265313,
      -1.00467054406636,
      2.91582139733566,
      -1.86726667709491,
      0.993432353686426,
      0.189588902707236,
      -0.0164656161411818,
      -0.642228966384676,
      0.0759876850463685,
      -1.85519681823471,
      1.83013388919293,
      2.19531252573239,
      -1.30178218665932,
      1.37020559470119,
      -1.40947240888703,
      2.76534801884117,
      -0.771422209968166,
      -1.14190880956963,
      2.02504250833906,
      -2.978045094233,
      2.690612033874,
      -0.517472592367361,
      -1.44817833001263,
      1.52579190669692,
      -2.13715579764737,
      1.66832559176489,
      -0.0481775171670015,
      -1.28966477135948,
      0.163326187551642,
      -2.6499496652754,
      3.26225647592412,
      2.06632804889703,
      -2.71160824329102,
      1.75915648475877,
      -0.873625092660089,
      1.01406512934652,
      -0.526432371454382,
      -0.447550484911218,
      -0.0145374599263223,
      -0.839907254261817,
      1.27366107586344,
      0.210216980311383,
      -0.623678049839246,
      0.722915798111169,
      -1.25436077576346,
      -0.116047879704533,
      1.72137414614019,
      -1.35396935811123,
      1.49696952524139,
      -0.574537020003708,
      -3.21330241535649,
      2.21662519609419,
      1.18909250583908,
      -2.05521945349951,
      -0.00978984053439538,
      0.551491715169911,
      1.57170747536885,
      1.67490075956823,
      -5.14989501914621,
      2.65790664826655,
      -1.10890036778011,
      2.45444070101667,
      -0.530515847343977,
      -1.42766922450603,
      0.672796512462536,
      -0.185011350203776,
      2.03726204278718,
      -0.975622299671137,
      -2.17127174021366,
      1.15696583571956,
      4.05859742593497,
      -4.43652758649851,
      1.17372152443406,
      -0.797102354658507,
      0.976161232208741,
      3.83499321539881,
      -4.50087650117727,
      -0.763730882181705,
      0.18302888447074,
      1.44903470335554,
      3.85466876083821,
      -5.13616411472146,
      -1.29269574044267,
      -1.03006307903481,
      4.41469035610018,
      0.61819058009848,
      -3.50320562412498,
      0.293220315224467,
      -2.3095933809939,
      2.45426063749693,
      2.08165282902605,
      -2.11786206955662,
      -0.0594853789628888,
      0.695723014570953,
      2.50969425942571,
      -0.815275923915838,
      -2.32137286674573,
      1.0439162739569,
      0.627367790088104,
      0.516961411405141,
      -1.59986663779737,
      -0.565934044940382,
      0.87353494808269,
      -2.8443967509343,
      1.15161487443352,
      1.48778236746587,
      0.209058708777452,
      -1.27743168023996,
      2.09693949772223,
      -0.371671205653952,
      -1.61003761849557,
      -2.05772918830732,
      -1.16546043004486,
      4.00465317800108,
      -0.026931571412166,
      -0.498441751166268,
      -1.36369638343585,
      0.0453102505653826,
      0.849740500153753,
      0.875562207459566,
      -0.857960883819652,
      -1.83709729894275,
      0.209228285292235,
      2.13433181964758,
      -1.77550020263183,
      -0.590809028397733,
      -0.347205526850259,
      -2.58052539038807,
      4.81787005137908,
      0.160466396591707,
      2.60350149165225,
      1.55973247833146,
      -2.00990080194426,
      -0.452210930760848,
      2.19532828885684,
      -2.3279540377417,
      -0.263246583287676,
      -1.949445185513,
      2.59870739860688,
      2.35292332927634,
      -1.98371273955888,
      -1.574720716849,
      -0.133818321842735,
      1.35089613106091,
      1.70245057847974,
      -1.91554817013937,
      0.590784344384155,
      -3.0072238387731,
      3.07518130101006,
      1.13328627873,
      -2.54046932177759,
      2.67973608995455,
      -2.48694206481884,
      2.68817381417599,
      -1.45274035533731,
      -1.58568537225198,
      -1.77205054696717,
      0.262784340251204,
      2.34541316117765,
      1.69086514688862,
      -3.01822560570877,
      -0.358933990175025,
      -1.52692431648302,
      3.65511576323063,
      0.48062870708673,
      -2.82413018657291,
      1.28544187531153,
      -2.56091878852139,
      1.74624492457246,
      -0.333231733387341,
      -0.662381959788395,
      0.444445613992039,
      -1.06242607658385,
      3.65399364459401,
      -1.75045823207449,
      0.563454850646057,
      -0.357547447404504,
      -0.876299590251294,
      1.7642996022012,
      -0.775862941411393,
      -0.00575419725783463,
      -0.254288920272357,
      -0.688100871738749,
      0.972477907028711,
      0.184388030612365,
      -0.615104999002112,
      -1.12250885614134,
      0.405074555237775,
      0.41008432398726,
      0.694436046402578,
      0.90506314836738,
      -0.329302874373017,
      -0.679877803457708,
      -0.447755152550613,
      0.279057138972261,
      0.230124834477321,
      -0.890651569186513,
      1.17565058992581,
      -0.0547359845345303,
      -0.122638330114201,
      0.265665701784026,
      -1.47029467939753,
      1.50811467695926,
      0.87430356432002,
      -0.891461938127464,
      -0.247168488991251,
      0.0567065068857035,
      -0.739275530651941,
      2.5305896197123,
      -1.12000738992773,
      -0.314377992025506,
      -2.74727290807367,
      4.13824926623796,
      0.3274137950967,
      -2.34522223185794,
      -1.91816301967791,
      -0.325480779846545,
      5.05668064668263,
      -1.13872340686505,
      -1.36824597951309,
      -1.64982273021328,
      1.17682812857992,
      3.75863562323634,
      -3.85404228920274,
      0.28961551353465,
      0.520871397336805,
      -2.38173197257431,
      4.67817217904035,
      -2.01428927993081,
      -1.62060470649415,
      0.550794574807494,
      -3.02236841873805,
      3.59592017198423,
      0.232701002725151,
      -0.829417522849297,
      0.394807481388042,
      -1.80729140104977,
      0.202484856595552,
      2.25501257154116,
      -0.885533639190154,
      -0.0726815743090905,
      -0.052641481839827,
      -3.09936314942619,
      3.06585388994399,
      -0.898115357330864,
      0.160202544921791,
      -0.527387210933183,
      -1.47319018517258,
      3.27948326524345,
      1.88654810485263,
      -1.9570105075304,
      -0.950780687114187,
      1.55149681929067,
      -2.45773583251617,
      4.01974985176478,
      -2.37975559035921,
      0.174529573788265,
      -0.00691746371681204,
      0.939269104083921,
      -2.00760750955745,
      -1.53449603000483,
      3.33094220395624,
      1.33008337793201,
      -1.93727699187343,
      1.60667826887561,
      -2.05703867285474,
      2.07191307426733,
      -1.13539703635479,
      -3.80333201186216,
      -1.07223488664871,
      2.92684364466963,
      2.22928056551774,
      -1.29652430137082,
      -1.65621205641077,
      -0.70226820189433,
      1.14087896078546,
      2.29671828070499,
      -0.0537852059368208,
      -2.24802253742756,
      -1.10381937123634,
      -0.11506921928411,
      1.48253883221174,
      0.412294054264241,
      -0.626674384574187,
      -1.01731498142007,
      0.336830465706161,
      -0.0289364244671406,
      2.89477370132946,
      -0.306546019038075,
      2.00141615868511,
      -2.69037136090438,
      4.26003738568988,
      -1.77946046117105,
      -2.7734722968601,
      0.22784976438949,
      0.15857214088604,
      0.634535008747013,
      1.5296576624004,
      -2.03732370000559,
      0.532648678170099,
      -1.12581793583617,
      0.478448007088259,
      0.10967100277976,
      1.12990552036155,
      -0.847398345035856,
      -0.951707161370015,
      1.93743265644038,
      0.297649103518231,
      2.27321254932333,
      -1.15490759292252,
      -2.54101323257928,
      0.954117913998114,
      -0.462323817467617,
      -0.0571743909361833,
      -3.0324310699909,
      2.44121407180881,
      -0.109323287613888,
      2.76306695522159,
      -1.09137970970486,
      -1.55041560251534,
      1.26028486828408,
      0.764810454703704,
      -2.30206044394978,
      1.34602558506781,
      -2.86467646212959,
      0.9872970349535,
      1.87383469875486,
      0.757040867850547,
      0.951993786382068,
      -1.09632357620606,
      -0.293155060306168,
      -0.253518364831436,
      -0.285905240443664,
      1.22797976200866,
      -1.88918363989583,
      0.644182114809232,
      0.799199820811839,
      -1.14603388229616,
      1.43141159388185,
      -1.98348844782751,
      0.453767654761323,
      -0.185684751731256,
      -0.206426985130674,
      1.10972544303638,
      -0.93703587753685,
      -0.304125431654434,
      1.08448395899426,
      -1.86303766383938,
      1.64189823321388,
      -0.897755403586605,
      0.924664076705975,
      -0.499262823535827,
      -0.360496304146856,
      0.107155583175434,
      -0.897949721025593,
      1.31097646136211,
      0.0279138841456988,
      -0.369889683729674,
      0.739991950647907,
      -1.25127116374582,
      -0.309195038517851,
      1.70540769362706,
      -1.19710360003518,
      -0.676018960311918,
      0.516722800593652,
      -3.19914563744991,
      4.56755869120232,
      0.369673935013252,
      -1.50287978784004,
      -0.859618192424737,
      0.100978215895594,
      2.48289989536035,
      1.42582016618011,
      -2.86889188413939,
      0.0809085656167674,
      1.11745197174087,
      0.457348327450075,
      2.08770260270051,
      -3.76547188502207,
      0.687927125488853,
      1.78862742453097,
      -0.304899535434953,
      1.4569396703763,
      -4.28860967782694,
      1.99965326352283,
      2.83975566540776,
      -2.20859390748896,
      0.428102462240547,
      -2.56945031437296,
      1.2953812439707,
      1.53707926842391,
      -1.48259446405956,
      2.0725509535788,
      -3.90659299775105,
      0.034021891553302,
      1.73872570567652,
      -1.01559641739978,
      0.630710198024387,
      -1.70867489998721,
      2.14528614207323,
      0.226568217767108,
      -2.21779147198049,
      -0.0558542831376131,
      -1.85492733107781,
      2.37962796640418,
      -0.632919049377336,
      -0.469505209754998,
      2.23248648316083,
      -1.49561950592086,
      1.43012243917947,
      0.707976882403946,
      -2.3813332841909,
      1.68521638078593,
      -1.7424819562142,
      2.35417408972838,
      0.597827786288952,
      -2.07042293349124,
      1.75528787561919,
      -3.4324531825139,
      1.89033020783431,
      -0.525684028979719,
      -0.00263510014392437,
      -2.34351500309918,
      0.483879690750818,
      2.15884775569704,
      0.0673929567429772,
      -0.021832165940166,
      2.1893429780853,
      -3.1061619341555,
      0.644739256265777,
      0.874050745524376,
      -0.00744947535755125,
      1.12032522795176,
      -2.13558870252456,
      1.63199545660815,
      0.142600785347645,
      0.0499729797663682,
      -0.910639022009154,
      0.556635993076939,
      -1.22146713216688,
      -0.00634249868744208,
      -0.707439701868313,
      -0.921061418157248,
      -0.939073993935884,
      0,
      1.2130376259575,
      -1.15264369241323,
      -0.126873439104387,
      0.162477600152482,
      -3.28716499575895,
      4.0208308393395,
      -0.724571330776758,
      -2.362840961159,
      0.320329983104734,
      -0.902849699699804,
      1.24684937572603,
      1.24981850915312,
      -1.09691386854011,
      -2.09044157846755,
      1.16377315509024,
      -0.520241835875177,
      -1.67752908485872,
      0.902209981759414,
      -1.75080580086068,
      2.25103598663345,
      3.829286941925,
      -1.49263179558947,
      0.9482220727247,
      -0.538886594695974,
      -1.03057669617119,
      -0.179043294871191,
      -1.00405262069548,
      -0.313228023442829,
      -0.521984149477611,
      1.15582755457482,
      -1.13700780186928,
      3.08631131822469,
      -0.124869827698166,
      -1.60239318148743,
      0.358359921049581,
      -2.06137802220878,
      0.671858266507235,
      1.53064740898016,
      -1.82816306609282,
      1.35421253734505,
      3.13012070851504,
      0.163002058858655,
      -0.011724718252757,
      -0.86429675859182,
      -0.699126274162645,
      1.45282797890889,
      -1.99498625675305,
      3.64792094317485,
      -4.61710519213603,
      2.22724211592693,
      1.57363288689484,
      -3.93802032386915,
      4.84718022874479,
      -3.49051675173184,
      2.88279344272072,
      0.377612798191513,
      -5.35128084311352,
      5.23455808276208,
      -4.37010304473645,
      4.34216746815957,
      -2.21913014755514,
      -3.38430461407842,
      2.26189529480298,
      -0.468459696407065,
      1.0780960449081,
      0.694343459543302,
      -2.45728821159115,
      3.89035550904598,
      -1.49976887068801,
      -0.644138702513633,
      0.808784111972199,
      -0.497711563863463,
      -0.230374764309318,
      0.356751689805554,
      -1.81238407874273,
      2.32769832269114,
      -0.263252651556954,
      2.07022598967272,
      -3.44636643296519,
      0.942406028595512,
      0.339730199618274,
      -0.386108004756265,
      -1.37963041449195,
      -1.79340024503475,
      3.80925669245527,
      0.29476122027388,
      0.852515071753616,
      -3.69040944369844,
      -0.694240679448536,
      2.87875928569226,
      1.61176034069023,
      -3.61466681608309,
      4.31616987960239,
      -4.05946278179418,
      2.98157763202753,
      -2.79372975512134,
      0.292419334460696,
      3.61637157697935,
      -3.26592569476681,
      3.50295150042901,
      -1.90702482384276,
      2.75190719004012,
      -1.09483273235754,
      -2.3974100091338,
      3.1672046444621,
      -2.65831635551011,
      1.31520390604331,
      -1.60603154150305,
      -0.478791746055643,
      3.07363094554538,
      -5.84810106956188,
      1.94836291793372,
      -2.05892508943726,
      5.54621293816785,
      -1.96439305787772,
      -3.58859916573932,
      0.748053812984151,
      0.215720090309325,
      0.204406582472914,
      4.11424061127202,
      -4.75195699708056,
      2.74105910911283,
      -0.00958952479420655,
      1.00479826132214,
      0.575839986923045,
      -4.49789683988801,
      3.8914317555855,
      -1.14866775545302,
      1.42725812395758,
      -1.77059591759796,
      -1.74240385549863,
      3.05056664231513,
      -2.38252518558925,
      2.60657384108561,
      -3.6305534304419,
      1.61603597202172,
      0.498986606049058,
      -0.271726247375447,
      0.153889129950831,
      -1.02494329201402,
      -0.106538390361007,
      -1.19178355640824,
      0.834880929202804,
      0.0274835201771798,
      1.37374143257363,
      -2.96767196759681,
      -0.0318825828535753,
      0.280429623679862,
      3.6219237929507,
      0.252226920239994,
      -2.02690884269171,
      0.65686089000286,
      -1.77068447378244,
      2.50349557439846,
      -1.52258744556569,
      1.7433497644306,
      -2.37179642157561,
      -0.149856430563586,
      2.59731102634351,
      3.21342897899221,
      -0.884398820238057,
      -0.798640527129944,
      -2.03396305900586,
      0.298022143437053,
      0.0793640119329193,
      -0.694689279350257,
      -1.12292771731766,
      2.69933417558714,
      0.408602630645963,
      -1.39150774239587,
      1.58226255562057,
      -2.14738858639426,
      -1.39438947446802,
      2.33858156462412,
      -3.15793791195812,
      2.46203726944364,
      -0.764746971808813,
      2.53452571776957,
      1.73513253569866,
      -5.00795179650352,
      2.579016333677,
      -1.17133583525263,
      1.05465552063144,
      -0.139454483964073,
      -3.02186478499899,
      1.50191945014631,
      -0.324241124672198,
      -0.724700160542434,
      4.28144846054854,
      -4.60136121781996,
      0.249974731487454,
      2.51694295998429,
      -1.34676345367839,
      0.830123809360102,
      -2.51823599075692,
      -0.565493922621482,
      0.562531958612621,
      2.07941226948441,
      1.19893507259039,
      -2.15043603127709,
      1.35401030928492,
      -1.63143331213053,
      1.55863403518892,
      0.676560107839974,
      -0.422807211810928,
      0.532204393345037,
      -2.38230819708822,
      4.10290826080058,
      -2.05304062836476,
      0.358472421381698,
      0.768342825505629,
      -3.85684565680044,
      5.40833595236546,
      -1.77063129304586,
      0.291930726058435,
      -0.239511581296505,
      -4.23219187525918,
      5.5192498996852,
      -1.59327142348482,
      -0.0328574767486685,
      -3.58723061785493,
      0.506009825577061,
      3.17947137110873,
      1.30071581901195,
      0.215303695767243,
      -3.07746056245587,
      -0.873988192207655,
      1.58723690735679,
      1.11863683031339,
      -1.71750927490799,
      0.69687943730542,
      -0.15017281563405,
      0.844952220678549,
      -1.15631586730534,
      3.04617978982937,
      -2.30176218309142,
      -1.77187723156209,
      4.07042752805814,
      -4.1028531884776,
      0.165518743746197,
      -0.590762754331021,
      1.75868835317657,
      3.60268824735857,
      -6.8736597710236,
      1.98967848063479,
      -1.00341119723588,
      4.13531850411536,
      0.55863235193727,
      -4.5257410805475,
      3.13709044788149,
      -0.167376817630682,
      -0.660984842026061,
      1.97744114998504,
      -3.82494273355338,
      2.07814570579121,
      0.978627178548938,
      0.569554645252159,
      -0.16048103879231,
      -3.65981335153655,
      0.939283898691136,
      -1.79439694649519,
      3.47749071326589,
      0.869531433509192,
      -1.50085176787161,
      -1.28828984266356,
      -0.30201223846478,
      2.40738889828228,
      -0.446364684938578,
      -1.3960084446744,
      -1.584314460904,
      0.0710395235480517,
      5.34904188040192,
      -3.34635463043252,
      -1.54557672109812,
      -1.3626801716446,
      -0.223553154922233,
      2.73004971061606,
      1.4340832166872,
      0.301020258047079,
      1.45537049843129,
      -4.99373652594959,
      3.71212225182614,
      2.32153862549474,
      -2.06755636960362,
      1.84825140589391,
      -5.53141609662301,
      2.16603384787835,
      -0.24638504682073,
      -1.33175542463467,
      0.00394198300056265,
      1.45756915229113,
      2.4146125479012,
      -1.80363588325625,
      -0.87477280069766,
      -1.03850649313319,
      2.36483665870837,
      -0.951817644599895,
      -1.35609878655084,
      -0.557841567992356,
      1.47371403501627,
      -0.913326841079967,
      -1.01765979558481,
      -0.795669349833732,
      0.370002227782983,
      -0.398008584907323,
      2.4049798841464,
      0.165790635404515,
      -2.68853915259363,
      2.00885976677091,
      -0.233487755922074,
      2.04019416447508,
      0.428470721246553,
      -3.70932071473844,
      2.96356754260376,
      -0.723959446867219,
      0.48317289729453,
      2.77092374771272,
      -3.86547016908596,
      2.23747691528695,
      -3.1611429359163,
      3.44336594940911,
      0.37316845176285,
      -2.83399611602389,
      1.21488570468053,
      -1.5591702410199,
      1.82092042484757,
      0.920998237569051,
      -1.28259931482807,
      -1.30344950515613,
      -0.359978942059029,
      1.04137860712237,
      -1.41455664971587,
      1.44300436468194,
      -2.76677947510367,
      0.448237648196586,
      5.31787558889787,
      -1.05148430290401,
      0.0208895747620838,
      -0.270584132592596,
      -3.54333394286052,
      2.20228914336001,
      0.0939682042641402,
      -0.539150056879806,
      -1.05783440058262,
      -0.0596211492252445,
      0.648448345719234,
      3.56554652681438,
      -1.98836584729384,
      -0.970656140330838,
      0.166962885840368,
      -1.2665007782161,
      0.457381878754427,
      0.816034124525711,
      -1.8137780524234,
      0.45532037557592,
      3.2950736040703,
      0.895860765006997,
      -0.941538531518124,
      -1.816874372133,
      0.0308494142777267,
      0.93253654935575,
      0.44803062930755,
      2.66646046034547,
      -3.73265534049617,
      0.401363723865809,
      -0.601566490987422,
      -0.540602512475695,
      3.04458590400365,
      -2.12308537502997,
      1.02277400378951,
      -0.394538348824085,
      -2.46491472446409,
      6.08025723439267,
      -3.99452288435509,
      1.36554879916286,
      -1.82746050582676,
      -3.14136020732769,
      2.26512747202323,
      -0.5047709475839,
      1.02705902476849,
      0.719397685388063,
      -2.31884102605022,
      3.81077335262176,
      -1.68124290965969,
      -0.6179323095251,
      1.019009979758,
      -0.655484151926057,
      -0.0305607918143798,
      0.205366319713098,
      -1.73526161561249,
      2.4500299818056,
      -0.274927887169163,
      0.914192161627104,
      -3.17973220423889,
      0.77697679467771,
      1.18158530015902,
      -0.534997642780865,
      -0.439246095555761,
      -1.49172772184675,
      2.020412550252,
      1.05358041470369,
      -0.505688065672826,
      -1.15024844346442,
      -1.38193929164566,
      3.36825281342059,
      2.20271485959375,
      -1.41359561352595,
      -2.46640480542686,
      -0.586659512856072,
      2.00849454952055,
      1.75118584075422,
      -0.217726045339293,
      -4.2942856706955,
      1.32807379790592,
      2.99807086672579,
      -1.90413983146198,
      -0.745078573660345,
      0.703115974484023,
      -0.814465252261815,
      2.63755662217548,
      -1.10616966597324,
      -0.359896327927972,
      -2.6397956330913,
      3.71670434326616,
      -0.132023039206193,
      -0.992589078308095,
      1.57422167977991,
      -3.24373585210485,
      1.68843369682715,
      0.356984788030078,
      -3.4503801162399,
      2.61983364376501,
      -1.98820467714763,
      0.195066473990404,
      0.166568364406877,
      -1.97695961362825,
      5.80380728907194,
      -5.04043141932416,
      3.72748381838357,
      -0.802022177161858,
      -2.70640957659293,
      4.93720426661049,
      -4.68888568867266,
      3.42554610222032,
      -0.554469791272311,
      -1.87031840201139,
      4.0477206911904,
      -4.80504408169534,
      0.90665070957153,
      3.16373032837858,
      -2.01544436624571,
      -1.57179672518694,
      -1.0507139044756,
      2.05788951949356,
      0.486083371026024,
      1.42902388434193,
      -0.0574965922392967,
      -3.22590460460019,
      1.02132692044722,
      1.49713560412192,
      1.06765587713156,
      0.15247088637838,
      -4.41423188514736,
      4.11877065097659,
      0.744112347653149,
      0.271091362385129,
      -0.304350736221616,
      0.269089857867607,
      -0.788399132919623,
      0.0809803841647539,
      -0.572357820132669,
      -0.838657783727738,
      -0.906279589775391,
      0,
      -1.66385987760818,
      0.111355996773694,
      0.597220442815954,
      1.64297070810571,
      -2.91146935493461,
      3.83112981852919,
      -1.61945756144367,
      -0.753318794146795,
      0.801854164213034,
      -1.54225912075011,
      0.291539209280759,
      -1.30568471407986,
      2.2049259815584,
      -2.64665983660887,
      2.40860915168664,
      -0.684386671641,
      -2.09312498751279,
      1.89920841169066,
      -1.57281548280678,
      -0.43770494416743,
      1.59297795467718,
      0.226895596327428,
      1.48320182854619,
      0.548976887568098,
      -0.240888494508793,
      2.39471918601163,
      -4.15464439723041,
      -0.0889619007702996,
      -0.505857852273012,
      0.27481813467613,
      0.499242463280142,
      0.585852480553204,
      -1.07656829213007,
      0.137807871961188,
      -0.170197950868145,
      -1.19434346413901,
      0.172905603841388,
      1.53773903320587,
      -0.410490997730291,
      -0.876480252020774,
      4.18354485529308,
      -1.25942153459329,
      0.104676416758067,
      -0.958085269518765,
      1.4797172426941,
      1.76009225192884,
      -1.68313741013345,
      1.30242040275421,
      -3.69894817085632,
      1.76526279918648,
      2.21967584658567,
      -1.69350106872365,
      1.38342560875739,
      -3.59166719533001,
      0.626880027917161,
      2.97609043325853,
      -1.62420792512884,
      0.102150376818282,
      -2.82623507594221,
      1.70473654951237,
      2.66383047711245,
      -1.89849839416809,
      0.63044878524114,
      -1.01741558612773,
      0.793757968302607,
      0.540387497073365,
      -0.626681742518873,
      0.615273416476294,
      -0.121122613560678,
      -0.221069260786404,
      0.697862074167739,
      -0.371935571680248,
      0.220649592252112,
      0.162509903193086,
      0.192541968275735,
      1.16758157923677,
      -0.668538079060725,
      -1.33776564927492,
      1.19723597819739,
      -1.79342532306778,
      4.6036843316613,
      -3.67793847090569,
      -1.10264796593549,
      0.53432149330112,
      -0.307347472976114,
      2.54432343440811,
      0.666265980127788,
      -2.77051038401462,
      0.109456365155075,
      2.9562926508516,
      -1.70639783425128,
      -0.744492475141389,
      -0.297678442751969,
      0.237238252600858,
      -0.367357331392774,
      -1.17782500810377,
      3.37296159724067,
      -0.837787664773713,
      -0.852424511237175,
      1.35133447742497,
      1.59941809782489,
      -0.788701737858332,
      -1.56389214256555,
      1.35628504926247,
      -0.166375900307492,
      0.602763104315598,
      -1.15569556075749,
      -0.379065125827445,
      2.99857728042301,
      0.244702022614644,
      -5.16848820873459,
      0.0696492590361575,
      -0.265029796528418,
      1.67103239338387,
      1.77905730304935,
      -3.33330698031674,
      -0.278377711325894,
      -1.14853709390183,
      1.15686860670089,
      1.86279397435869,
      -0.200452829738539,
      1.1696115317505,
      -2.12253911912691,
      0.647312842971482,
      4.70485552089642,
      -4.94699112144568,
      0.4613634586609,
      -0.99954851400459,
      1.92230650391343,
      -1.02832177209261,
      -0.396860038145391,
      0.887960392235413,
      -3.25885743131674,
      3.91213401419962,
      -1.14588278265722,
      0.1955208299131,
      -0.31955670175468,
      -1.27673739563533,
      -1.11036951535103,
      0.567424003909647,
      -1.03626440046402,
      -0.0424580993459199,
      2.67500031931009,
      -0.637396149296494,
      -0.301530499887412,
      -1.89112705696324,
      0.676162555453913,
      0.981301059947558,
      0.384532602152949,
      -0.946762623879312,
      -1.38446947023873,
      -0.316175327621153,
      3.17011142804249,
      -0.392915123667085,
      0.934726058243348,
      0.188793572264535,
      -0.526258033578693,
      -0.0876193177142784,
      2.01971022208102,
      -2.27011407369514,
      0.919429697031426,
      0.510519610005924,
      -1.81418799723705,
      2.04477373990139,
      -0.514649494388385,
      0.162208493204259,
      -1.58776611572857,
      1.14363192780377,
      -0.144498848316269,
      -0.473449821201365,
      1.24991368807332,
      -1.02080333904808,
      -0.99782017546216,
      0.143046867099787,
      -0.802933138695039,
      2.55371245010914,
      -1.04710000193158,
      -0.673771065479438,
      1.54679511081841,
      -0.660217422621896,
      0.227517500780927,
      -0.911996485563069,
      0.0219599818096434,
      1.57453305423083,
      -1.48254282374104,
      -0.157456714948841,
      -0.840103414708858,
      -0.176714563219327,
      0.919368998281722,
      0.956060469863658,
      -1.92108148293978,
      1.2769488020496,
      -1.28620487541649,
      0.547216230317161,
      0.420966445021138,
      -0.548086289242088,
      -2.26363040652016,
      1.42467720707461,
      1.33823537617014,
      0.484107911293032,
      0.188836895590047,
      -2.26415159153618,
      3.12522109925533,
      -0.0373271780879117,
      0.172978137706086,
      -0.0647283276996611,
      -1.52552642585681,
      0.111173222320341,
      1.40460213623621,
      -0.208143971364048,
      0.225600943418361,
      -1.24772995309347,
      -0.381404542958669,
      1.20856290847052,
      -1.05797378590157,
      -0.436160065520385,
      0.584070501120086,
      -0.213776313381388,
      -0.570333472279942,
      1.46672225011577,
      -0.384873869708942,
      -0.132581509568322,
      0.233668995733947,
      0.17093692527688,
      -0.0599438472681439,
      -0.297486830308069,
      -0.216461131983083,
      0.951154389987815,
      0.197224143869502,
      -0.116460242081189,
      0.77400360544224,
      -0.771000514032959,
      0.89663523477437,
      -0.767622244613766,
      0.882072262156453,
      -0.439115917270372,
      -1.1888205518491,
      1.33372497612672,
      -2.08057934654828,
      2.10980259217114,
      -1.16896625220731,
      1.45540259670998,
      0.594812297058282,
      -2.90796096901284,
      1.88762918862688,
      -2.2002871080659,
      3.17859158690488,
      -0.58680021171071,
      -1.32428839290793,
      1.51953829306951,
      1.06540811907586,
      -2.6828911449243,
      -0.352455289561005,
      0.626383172780269,
      -0.00738751345585858,
      -0.704486709535102,
      1.13972249757111,
      0.426188223006437,
      -0.968818463335213,
      0.734075942552842,
      -2.85342289291919,
      1.7567222065196,
      1.98954999611297,
      -0.392257294218965,
      -2.32867989371549,
      -1.14008077281113,
      1.65222032125171,
      1.07673337194045,
      -0.13091942851466,
      -2.11693613288879,
      1.12377831288685,
      1.9079220525185,
      -0.874814343226338,
      -1.70310082137166,
      -1.97855574117034,
      2.23582958500514,
      -1.13941523373422,
      2.68482756901983,
      0.163982525654813,
      0.215689872098634,
      -1.5543654583033,
      0.723345316891225,
      1.95534218443273,
      -0.579466459233584,
      -1.03039485221168,
      -0.611029903197012,
      0.620990244961549,
      -2.45203368542132,
      0.718530093337661,
      1.46155407048676,
      1.51630439994996,
      -0.508022958883512,
      -0.148283064170308,
      -1.71450907947018,
      -0.278506032288808,
      0.511689506848074,
      0.72306552218757,
      -2.25967681561885,
      -1.26073036993809,
      2.9060374689871,
      -2.63199275562098,
      1.95108393358123,
      -0.974817702870208,
      -1.39305742296246,
      2.95306786046238,
      -0.494513106078149,
      -0.980805407320127,
      0.309888198936331,
      -1.59348008455876,
      0.876428080023153,
      1.46285960515359,
      0.591374339628338,
      -0.273890616176405,
      0.754413352650988,
      -3.13228650582338,
      2.35942705881784,
      0.0732981018139371,
      1.01485932900187,
      0.304838737525952,
      -3.46910781935935,
      3.58157282811396,
      0.169482789357295,
      -0.904234114884592,
      1.18069910253448,
      -2.77441823750481,
      0.82653270607179,
      0.779965370617809,
      0.296655775011743,
      -1.34767870483134,
      0.544109068582495,
      -0.533048069748814,
      -0.727626899796203,
      1.35886195765014,
      -2.08498121211562,
      0.628229010320462,
      0.00964980408597757,
      2.00645109804826,
      0.253853355283946,
      -0.487638104349818,
      -0.274496039151331,
      1.79843745336216,
      -2.04174836716441,
      0.230092617962836,
      -1.70235155641087,
      1.62035274166475,
      -0.0386939792693714,
      0.164407890685621,
      -0.561026774450607,
      -0.754859649829061,
      1.50154738864776,
      -1.66918493801055,
      -1.35213921557568,
      1.54962856002081,
      -0.49022550771463,
      1.00971740315117,
      1.97032948041688,
      -1.01417052384709,
      1.66338074400614,
      -1.52761220159098,
      -0.973681678144345,
      1.25154443302181,
      0.414133493271994,
      0.606366998581249,
      -1.60675343445335,
      -0.066087607959074,
      0.386287839586322,
      0.452810290118327,
      1.07953771694104,
      -2.14020849804769,
      -1.06051458852516,
      1.56284333035394,
      0.122405934728658,
      1.12922362444141,
      -2.54384962067757,
      1.05985088780996,
      1.24583703133005,
      -2.39790275602112,
      0.555340382812457,
      -0.891890355215899,
      1.02834172112358,
      0.221019985570372,
      -0.821078317424134,
      0.821615516004761,
      -0.0359780919741052,
      -0.341037292788135,
      0.817128245295927,
      -0.331397105632758,
      0.143382674753694,
      0.155447189427059,
      0.113892377562313,
      1.4689159370681,
      -0.959477775574685,
      -1.21410772739324,
      0.577137101182803,
      -2.22037071677792,
      2.42496838020938,
      -0.783794114159038,
      -1.69776735489087,
      1.41786729563072,
      -2.00214657911484,
      2.92703801293656,
      -1.01889538632533,
      -0.664293674757272,
      1.35812750116895,
      0.301064069553621,
      0.649752988394771,
      -0.39209669594518,
      -1.99053007134323,
      2.06911412833947,
      -1.55505234497353,
      1.64266441782805,
      0.209734007336705,
      -5.28328848012297,
      4.75622815922801,
      0.622874619341662,
      -0.959236349323688,
      -0.681576284115506,
      0.230629205248035,
      -0.404184595357602,
      1.494533459291,
      -1.227697731013,
      1.8320211728583,
      -2.04346250102581,
      -0.840209521874229,
      1.56297512632831,
      0.892249015497442,
      -1.30668899929822,
      -0.488918265033205,
      1.26837474617989,
      1.16804823018126,
      -2.16357015940707,
      -0.750225999607949,
      0.639590020858575,
      -0.753014725863051,
      -1.76359994753645,
      2.3909806223484,
      0.267201083490658,
      -3.91268123739358,
      1.30340395301441,
      0.825714609384563,
      1.57125389058626,
      0.35936639235202,
      -3.47041744968069,
      2.24583854355494,
      0.0141409783315188,
      1.02282117639594,
      1.01152613052758,
      -4.15804754551202,
      0.0583333634564174,
      2.03668859456115,
      0.555693883107391,
      0.207589469640936,
      -1.94465211363989,
      -0.379962792220625,
      0.393480098050591,
      1.47331886874863,
      0.925763136208261,
      -0.294668730907087,
      -1.8902612665239,
      0.876352259955856,
      0.914765797043344,
      0.49002884216853,
      -0.136440488677424,
      -0.785903718588696,
      0.895768795640135,
      0.743244007002659,
      -0.733385097026036,
      1.03461626602184,
      -0.47417882908525,
      0.023354455169249,
      -0.431908468006474,
      -0.740922981073814,
      -0.865137752380409,
      0,
      -5.42436119990276,
      1.35961463181333,
      1.23089242006918,
      1.05180735292937,
      -0.219298516648273,
      -1.97831400986414,
      1.44547155905482,
      1.0757562598917,
      0.912763533459136,
      -3.71878403385374,
      1.39140091638731,
      -0.19268885646766,
      -1.659373472652,
      1.72192379029448,
      0.713199392408795,
      1.50749282437065,
      -2.00048643241883,
      -3.51175659881225,
      3.66409353883947,
      -1.28044956558095,
      -1.30074478670266,
      1.42635746946562,
      0.177435295667113,
      1.76087386261455,
      -0.632133534676086,
      0.197195983198161,
      -0.296640180254719,
      2.33826973504593,
      -1.32426325886456,
      -3.40738096134275,
      2.48353351511195,
      0.314653773102158,
      -2.00807024792176,
      1.74027149892595,
      1.2308541072163,
      -0.69938637340004,
      -0.648902054946192,
      -1.50483385300769,
      1.92624021821051,
      -0.0346925244108998,
      1.34099052554265,
      -0.368668071446628,
      0.668592795343236,
      -0.289931221932771,
      -0.148562416973556,
      1.21975107775522,
      -2.31267255963156,
      2.51453403370416,
      -2.50552457193168,
      1.76306580069013,
      0.922412057911564,
      -3.9947009830557,
      3.96048826040862,
      -2.65731145630641,
      2.87950564916617,
      -0.169406233257846,
      -5.32376142971734,
      4.04169010542179,
      -2.64179965937993,
      3.96456065955859,
      -2.7815263129137,
      -2.13223035484268,
      3.91899134365126,
      -1.19122133825852,
      0.0920242015504744,
      0.905566438206176,
      -2.65120565443609,
      2.12259975738954,
      -0.212982871816517,
      -0.163079778832235,
      1.1262358395817,
      -1.42978490191854,
      1.08959672890394,
      -0.834076095211791,
      1.04961717300334,
      -0.214473590637473,
      -0.250747345144696,
      -0.505150950777171,
      -0.680993895406967,
      -1.63623251485835,
      2.24344349595775,
      -0.0433089984397129,
      -0.116771703975056,
      -2.88155680911193,
      3.46681281103994,
      -1.86682379630899,
      2.75106967403629,
      0.592044467070817,
      -4.94989646953545,
      2.10178506490093,
      2.05816466657969,
      -0.644111812778752,
      -1.93994705416436,
      -0.983101767033603,
      -2.11236306780665,
      5.600703443544,
      -1.98331426564598,
      -0.373165486178886,
      -0.00100724983715985,
      2.58214679127102,
      -0.461559334920398,
      -0.73271726977659,
      -0.276477662457232,
      -2.52163707218866,
      4.03701653570817,
      -3.416022877177,
      1.76988525431688,
      -0.375003208275246,
      -1.25801910375928,
      2.08964487855033,
      -0.232885519688609,
      -1.28402023757827,
      0.898190633111594,
      1.99796567304239,
      -1.9990427398752,
      -2.40873852713841,
      1.30804004860966,
      0.196857622586466,
      -1.08569782422403,
      1.12677177806055,
      -0.97083075026598,
      0.92813260864377,
      0.769813223757268,
      0.414569919229343,
      -0.831590628117896,
      -1.24388261066585,
      2.02223425957524,
      -0.450542971366448,
      1.65277955455399,
      -4.02861258859691,
      1.41534453777628,
      2.0538396527797,
      -0.658562641111679,
      -0.272431759286087,
      -2.25641690109787,
      1.08875863102944,
      1.4695679357346,
      0.0573981754950742,
      1.10534797658744,
      -1.47629880589141,
      1.20471732175206,
      0.594024326513673,
      -3.92015289417985,
      0.59291336623656,
      2.82220453917873,
      0.819524233506237,
      -1.79363268475439,
      -2.18001334026017,
      2.38783925667109,
      0.0601375364610489,
      1.02060670311255,
      -0.825678538760516,
      -3.12889368571455,
      3.20241426572246,
      -2.00722252594203,
      -0.180697205834528,
      -3.15094861504938,
      1.3609013991618,
      0.015553080447369,
      2.79128713249926,
      0.241929698987259,
      1.3086464261639,
      -3.0769287911709,
      2.14417100868693,
      1.49781733973835,
      1.23524703766539,
      -2.44309160151816,
      -0.437755381840872,
      1.67446130888831,
      -1.15226214113607,
      0.980095062178079,
      -1.4324545209529,
      1.0651938317662,
      2.13339723345938,
      -3.59979212982131,
      -0.0446052098652055,
      0.743670921784218,
      -3.28454380224866,
      3.80982292900031,
      -2.5840877186753,
      2.11057157306032,
      -0.968958223341816,
      -0.289418013664572,
      0.708894137466454,
      -1.98710624324572,
      5.34461660189833,
      -2.66179090325047,
      -1.14716186532979,
      4.06435417127884,
      -5.45993671833372,
      2.02900396095022,
      1.29939574871982,
      -0.508428567771356,
      -0.0267509915952936,
      -3.13617633807673,
      0.141294074745708,
      2.03444973474563,
      -0.722870986453183,
      0.935415340737162,
      -0.913687622383062,
      0.887268987383487,
      -0.825993980607438,
      2.89851193950155,
      -1.24991312639769,
      -0.635646978056127,
      1.00274845587597,
      -2.28234423439798,
      2.95055971581125,
      -1.59544406354387,
      0.761873111801574,
      0.786099632413542,
      -3.84419680690791,
      4.08140839926726,
      -0.672447943090281,
      0.289336373629535,
      -0.470304004683168,
      -3.64302478091421,
      4.40497502336454,
      -1.58664480164858,
      1.93507776080024,
      -0.83675357878733,
      -3.15280486357913,
      1.526644224186,
      1.6467286176169,
      -0.270313403183847,
      -1.08052790154002,
      -0.371992855264415,
      0.808588851168651,
      0.996509388863323,
      -0.296880198478549,
      -0.745861086651179,
      0.0421836584203647,
      0.448365910811908,
      -0.8099809784124,
      -1.18086974828556,
      1.45834116057289,
      -2.11518852638369,
      1.69995267164532,
      -1.102659850643,
      -0.168224559154967,
      0.522990021450708,
      -0.839571607471668,
      3.78133107309339,
      -4.32948844514203,
      4.24317142397957,
      -2.1840134202447,
      0.00880770205838337,
      1.99640152555319,
      -4.00273048868593,
      0.0773906753556538,
      0.586660552723169,
      0.943452596569586,
      0.252984227345499,
      -1.72396928830031,
      0.0982376735765086,
      -0.232111450606204,
      3.0299654770616,
      1.02539505817904,
      -3.23246495499026,
      -0.0552805769017885,
      3.36189428349525,
      -0.720515938617267,
      0.742945135547683,
      -3.23482176138123,
      0.654778043580484,
      0.462196053665148,
      0.982795083334177,
      -2.68725003854312,
      0.548448185025221,
      0.596079655218301,
      -1.37490406468379,
      0.116958799636346,
      0.293599501024081,
      -0.931651148781043,
      0.737508964129182,
      -1.89433256552579,
      1.16076112170847,
      2.68574108995392,
      -0.431014382319697,
      -0.289487385686014,
      -1.78030576039012,
      3.67527671527986,
      -2.21042804349781,
      -0.147970427674748,
      1.46274301975819,
      -2.75938692746831,
      0.452241768109331,
      2.15455935898489,
      0.3256053904607,
      -3.60287857889279,
      1.58261510822619,
      -0.0234610031532435,
      1.03301121733781,
      -0.576865950602962,
      -0.703922795741946,
      1.26716078190483,
      -0.492172709283012,
      0.504174607711134,
      2.28292759721977,
      -1.32105443939726,
      -1.63152847806017,
      1.94922153659816,
      -2.64196781216711,
      3.70740066429129,
      -2.58579332854182,
      0.312943654296598,
      1.54481937181516,
      -4.0062365301044,
      4.83270593681591,
      -1.75885139871474,
      0.577278484225822,
      -1.11069715580664,
      -2.96795277842997,
      1.26967696564424,
      -2.56815783938445,
      -1.10466200067391,
      3.1105350651129,
      1.19070556154433,
      1.47973889524996,
      0.535119590958073,
      -2.19565727836027,
      2.1082977473733,
      -1.23458586552722,
      2.76018972378951,
      -2.91463495058789,
      1.2169141715441,
      -0.135583873379317,
      -1.41120306189112,
      1.24048424047891,
      -0.671511685262443,
      2.86257963200919,
      -3.27112415427087,
      -1.08666062015923,
      2.2889571611506,
      -2.46090549998431,
      0.30809127859792,
      2.14581272439096,
      -0.305326377190348,
      1.00625832994526,
      -3.21396392238464,
      2.12775454628948,
      1.02311635515561,
      1.84335913142201,
      -0.755837744819074,
      -4.34597964787563,
      2.96812865827807,
      0.55576023901256,
      -1.62644622194296,
      1.12066949618846,
      -1.31070976260656,
      1.15027491481327,
      -0.126296402979872,
      -1.0835723793395,
      0.11855371024887,
      -1.4337814509606,
      3.53408693035146,
      -0.548205533875302,
      1.59091267351565,
      -0.724945533665995,
      -1.50759452573095,
      0.79101966983998,
      -0.421444114917583,
      1.92218036397124,
      -1.94225348534051,
      0.246944860859213,
      0.734625545538663,
      -2.45443720908267,
      3.27628369393717,
      -1.91759145943185,
      0.734090710211243,
      -0.420144667854407,
      -2.6464005007731,
      4.50806280409844,
      -1.10690392345594,
      -0.564270869895489,
      -1.50670794396949,
      -2.06395862095798,
      3.880687528741,
      -1.22465906509388,
      0.129026923758283,
      1.0497358674351,
      -2.70202665546326,
      2.03619361498394,
      0.0779261141055916,
      -0.111129064199575,
      1.01802708105202,
      -1.66766502147484,
      1.03489499986818,
      -0.761039150722904,
      1.23198228441064,
      -0.143225877573418,
      -0.561266138053144,
      0.433595139320663,
      -1.86907924243424,
      -2.18548136960815,
      1.55636107462762,
      1.48583230295632,
      0.889335391932566,
      -3.72328379851283,
      2.20905488134202,
      1.71727960898476,
      -0.861668156383247,
      -0.624449614924659,
      -2.10611879822791,
      3.07173748364926,
      0.00598388210908601,
      0.661030647040467,
      -3.04525847014759,
      -0.328019116051919,
      3.72868389536243,
      0.958622003064328,
      -1.94280849307131,
      0.614231994439874,
      -3.40524116083988,
      2.24848477022203,
      -1.094126721294,
      1.32877453812874,
      -0.0736064204264997,
      -0.771667221892221,
      1.2421036228547,
      0.595213557127817,
      -1.38843238078649,
      -1.52752965883068,
      1.53670718095203,
      0.542885874634978,
      -1.28546361607743,
      -1.02635929838491,
      1.22903373751918,
      3.37746206366374,
      -3.6974364743992,
      -1.47377243839245,
      3.42505292987267,
      -1.87491252988268,
      -2.3226602372106,
      3.14486772343074,
      -2.9010324383038,
      2.84539583128325,
      -1.62877797637632,
      -1.55430256608551,
      3.37466290678516,
      -3.13022013047796,
      3.03084356828947,
      0.126911689425991,
      -3.87306284031163,
      4.09333426333818,
      -2.29611071212942,
      2.72613198404545,
      -1.4413248303812,
      -2.26436552161567,
      2.81260033295056,
      -1.59968898098987,
      1.82182310364108,
      -0.530514439507547,
      -2.19399932240642,
      1.66203868808281,
      -0.546704519523152,
      1.82993466379991,
      -2.00663636150325,
      -0.195525730749711,
      1.43064866572369,
      0.0103905186750256,
      0.955584861406315,
      -3.05408082058668,
      1.68621709015753,
      1.42799804499456,
      0.0940898795422243,
      0.833214828315491,
      0.44646156991228,
      -0.43863804803917,
      -0.102955455958883,
      -0.301695648923178,
      -0.633000458536002,
      -0.816372159462358,
      0,
      3.48665244722948,
      -0.94712362699239,
      0.335283160779604,
      -0.483537584366051,
      -1.17894009131984,
      0.292777740133242,
      -0.608792806509798,
      3.24193151220597,
      0.934955554593852,
      -3.27985908469952,
      -0.801116463340116,
      -0.991616156517002,
      0.815219640220062,
      -0.786539020170859,
      0.662589323889705,
      -0.0107756350723896,
      -0.303255888993999,
      1.31885899674406,
      -1.37565427028506,
      1.21656199860159,
      1.27144970224152,
      0.517664882304298,
      -0.825878477625399,
      -1.30525845365503,
      0.0162436924806707,
      0.177777092585395,
      1.97661697345536,
      1.06210646065513,
      -1.3757397059963,
      -2.41128830801315,
      -0.542601599833958,
      0.0248270866393297,
      0.993051820091599,
      0.0660672474800746,
      0.150943983412342,
      -1.50176058737818,
      1.42643123992409,
      0.258547960748102,
      -1.22823479583844,
      0.838725361650933,
      -0.269834073805971,
      0.522119114439084,
      -0.110312154510036,
      -0.696713579422103,
      0.417772228385,
      0.715010910129578,
      -0.670590844434952,
      0.993395754276293,
      -2.11516125940672,
      1.56719579793882,
      0.75108533239597,
      -1.2215649036214,
      1.23943767580958,
      -0.782027703820151,
      0.159611288398166,
      0.545097662531673,
      -1.1315361734506,
      1.16414010004397,
      -0.530726357615795,
      1.28989696975273,
      -2.18463133196985,
      0.129446296950674,
      0.348638890911551,
      -0.228907246998585,
      -0.321843776317266,
      1.55922744888771,
      -0.817906431939973,
      1.01431202727904,
      -0.217082476416601,
      -0.0651588854627117,
      0.578183532048966,
      -0.353163521713589,
      -1.81049545545,
      1.39651176605437,
      -0.361494281209776,
      0.790422059470481,
      -0.620448415791543,
      -1.75664189672624,
      -0.394346658909698,
      1.53561812573882,
      3.09157489295025,
      -0.310092758576519,
      -0.813450850186366,
      -1.31789154017684,
      1.04300257604299,
      0.716077287466778,
      1.3289129378547,
      0.0389066006075983,
      -3.07602583975798,
      -0.841817199788392,
      4.54117323068066,
      -0.342611070677349,
      -1.11884786308787,
      -2.00821206436838,
      0.510692573440132,
      -0.406062536425293,
      1.57175886747762,
      -0.0785797966523407,
      -1.3730690482566,
      1.94897396178066,
      -1.51583378360071,
      2.1171077324555,
      -1.56158030970361,
      -0.949182827375034,
      1.95120401789184,
      -0.79777427719236,
      -0.350356601373385,
      0.922546670116633,
      -0.509065949088529,
      0.575596092410404,
      -1.32787577250605,
      -0.0519631758219786,
      1.16866969810155,
      -0.847414692986054,
      0.305158375964429,
      -1.77763952709108,
      0.188374934864671,
      0.467169686398044,
      -0.64454147278948,
      2.40282894212945,
      -1.64327054218551,
      0.300647023109971,
      -1.12272333431924,
      1.38891416104447,
      0.831748207929087,
      -1.81751523813272,
      1.25679482746282,
      -2.51550961339199,
      3.52183312972265,
      -1.34856797929734,
      0.408666375590881,
      0.901485780743479,
      -1.01003098868111,
      1.43302114128653,
      -4.06690260080687,
      1.96744008316556,
      1.00720277840331,
      -2.53578323970804,
      1.55074810291224,
      -1.09663399218034,
      1.56222869488747,
      0.93123177930968,
      -2.65886910424751,
      -0.314770334579745,
      0.533642085531435,
      0.990490879594464,
      -0.412373109613841,
      -0.567618686151759,
      0.928650007469609,
      0.464613562748047,
      1.57477048739473,
      -0.590022525322148,
      -1.97695183682277,
      3.83980269826089,
      -3.74468865549846,
      -0.593712045200713,
      -1.58976524294851,
      1.63005679786456,
      0.569465017836639,
      2.3538618677504,
      -0.181308607213292,
      -1.88381314584988,
      0.222423551681087,
      1.70653541137266,
      1.48399882261073,
      1.22446147674536,
      -2.42722707606521,
      -3.09018807784144,
      2.21237140894452,
      -0.483813450995202,
      -1.05407317780059,
      1.47788711955422,
      -1.6394857396047,
      0.275728310213766,
      0.437783390418275,
      0.0711759628043977,
      1.26934641175504,
      -1.52874442547817,
      0.146932985120605,
      -0.0605478304831813,
      1.37205462623006,
      -0.857218917263158,
      0.218447730226977,
      -0.0338696255938519,
      -0.653304984059163,
      3.8896252459285,
      -3.137182865686,
      -0.319985469246481,
      -0.797813485547338,
      -0.227388143020351,
      1.09278408020164,
      -1.70937552619394,
      2.61952424757288,
      -1.53359694241578,
      -0.124701071840458,
      0.0997500808490404,
      -1.27177283984746,
      0.056310333673189,
      0.620582985112168,
      0.394739934080319,
      -0.0503234773702792,
      -1.57346826025068,
      -0.315480942998942,
      2.25806637002622,
      -0.0927999791122785,
      -0.0814919188789138,
      -1.37231969674706,
      1.60310153776653,
      0.409546606396213,
      -1.06229939630072,
      0.243767743288394,
      -0.85352136203775,
      0.518955616363556,
      0.905143106814735,
      -1.0529545091612,
      -0.837321762735977,
      0.632427462725237,
      0.927560992916748,
      -0.799198508938924,
      -0.0218421153461287,
      -1.41849199509419,
      1.16772458972182,
      0.588030685425421,
      1.40468231008164,
      -0.55669129663369,
      -1.10334793484102,
      0.357729671662309,
      0.169807852228935,
      0.887937326425706,
      -1.88853151448726,
      1.908213829372,
      -1.73646079638536,
      1.50002019975429,
      -1.12044639057812,
      0.327758261009778,
      0.63621176767747,
      -1.34969338987679,
      2.9911545475699,
      -2.95855962702729,
      -0.301124989565514,
      2.6545276143336,
      -1.28357216292362,
      0.925366364132006,
      -1.55815263794769,
      0.509543086730948,
      1.6600717279976,
      -0.262063857547914,
      -0.342919895153136,
      -1.4917474035986,
      1.35707645133519,
      0.0977506535594351,
      -0.374333207164521,
      0.278811969648168,
      -1.17212005153474,
      1.22219163954462,
      -1.35681038875963,
      1.02358841983741,
      0.58321243358353,
      -0.620476139843437,
      1.18498752408341,
      -1.40710159078519,
      -0.0880235600183066,
      2.3642627465675,
      -1.25017947005752,
      0.14319534986414,
      -2.32982196695788,
      0.522095822041768,
      1.09260191590956,
      -0.0847125629527115,
      0.0954405324356376,
      -0.943651427917116,
      -0.796386114484886,
      2.15435393946614,
      -1.53432801835217,
      -0.927249625901003,
      -0.00470103042684744,
      -1.1331515220338,
      4.54295408298455,
      -0.509677972662787,
      -2.03560309854523,
      -0.513538836330697,
      1.59372299188395,
      -0.421896949431609,
      0.497099986884877,
      -0.724858499729077,
      -0.54336435254825,
      0.93777434271746,
      0.662923932730387,
      1.08970079296226,
      -2.57895088817167,
      0.0260584755520446,
      1.12385147095597,
      -1.05747414990372,
      -1.35503221792426,
      1.17349399160146,
      -1.19662125001238,
      -0.229227286412899,
      1.74268113326322,
      0.86959552012561,
      0.745898406794088,
      -2.99022939543029,
      2.70155732473591,
      -1.64776966822201,
      0.935640089262243,
      -0.0982745961928385,
      -2.01081467802031,
      0.448070564456391,
      0.615871237689793,
      2.95163585990773,
      -0.669268779448656,
      1.05090168327942,
      0.0803645979619908,
      -4.18094793762809,
      1.51886591475885,
      -1.23670435762664,
      0.300410315293882,
      1.73660924835422,
      -0.545466090480344,
      1.11526687333351,
      -1.70733053675848,
      -0.475350260054937,
      1.44372932765735,
      0.885146369435264,
      2.59556341342816,
      -3.7013003545117,
      -0.605392790703859,
      0.805239569885033,
      0.55500522195716,
      -0.356251152612352,
      -1.63318382195078,
      0.233627176958156,
      0.731075089129033,
      0.99857069393962,
      -1.26100197982554,
      -0.491327511806595,
      2.54254694358825,
      0.360722481587591,
      -0.738167235618293,
      -1.5908649820338,
      -0.876708137985957,
      0.502411991085089,
      3.44042383043294,
      1.20093618147027,
      -2.17040670021275,
      -2.73831807855913,
      0.667371515615352,
      -0.437008361644751,
      0.89910312651431,
      -0.333008390644229,
      0.247721360513123,
      0.177970795312272,
      -0.790942838329207,
      0.138293592895017,
      -1.02145791766178,
      -0.0195477457001839,
      0.496136112826583,
      0.957937256023529,
      -0.472117129597714,
      -0.411896003116079,
      -0.679506034515688,
      1.63587815405126,
      0.508537278459322,
      -0.0696057145170283,
      -0.935988002648644,
      -0.526997584348975,
      -0.0397429109063035,
      0.754455706515049,
      0.835818391199696,
      -0.456007535471894,
      -1.15936362594826,
      0.553299126087524,
      -0.284649315982547,
      1.81751155058669,
      -1.69838932780524,
      0.230398573298173,
      -1.26656245882837,
      -0.468914146377039,
      0.651451988451804,
      -0.38889468375392,
      -0.167316088297227,
      1.64083198153911,
      -1.06125653555506,
      1.03206897559398,
      -0.225407859376795,
      0.179229377022528,
      0.594821247773028,
      -0.653972923133377,
      -1.66966034041124,
      1.32139269138053,
      -0.315111942804979,
      1.02082631679022,
      -0.956931102757786,
      -0.406986598352456,
      -1.89823845288369,
      1.01381780196795,
      3.22272678398617,
      0.300208836335014,
      -0.00265863967463954,
      -2.60826968916945,
      2.61899080224805,
      0.810341531722641,
      -0.19266921083227,
      -1.45054806043707,
      -1.22329028287879,
      1.21604918912234,
      2.32915302265367,
      -0.277301371066668,
      -3.72045848664393,
      0.215487732098021,
      2.89581747481877,
      -0.773693837148633,
      0.402493718318581,
      0.810275098768906,
      -2.19266739448857,
      0.665168273582154,
      0.996677959560933,
      -1.57889795326632,
      0.165388189252303,
      -0.31304842288774,
      2.40878024871703,
      -1.44877410004281,
      0.741776177828737,
      -0.344642375565153,
      0.0973440990558053,
      0.129215492696699,
      -0.675586424641918,
      -1.95832788278024,
      1.67669366685576,
      1.71590179925175,
      -3.9198171318479,
      0.573685872150853,
      2.44837961691267,
      0.41159597396401,
      -3.10698088066268,
      2.40196815641125,
      -2.53538862932476,
      2.13237116388889,
      -0.289843244838331,
      -1.99918080906169,
      1.93738781413698,
      -1.96310653381518,
      2.66740136317503,
      -0.0152752180512475,
      -2.4793082945524,
      1.69968947828719,
      -1.23881022537983,
      1.33396984628718,
      -0.945316842746234,
      -0.0867481001315483,
      0.588727203913295,
      -0.726420789223378,
      1.11196541213153,
      0.326512001719123,
      -1.03467376127991,
      0.794151623978601,
      -0.300885804696969,
      0.016373286987586,
      -1.69746128619035,
      0.696266149268132,
      0.977409348841966,
      0.000177920085070565,
      0.373015519381915,
      -1.9428637279405,
      0.233130175792492,
      1.73833208234867,
      -0.172210183816729,
      -0.35370219294033,
      -0.679177842876967,
      -0.203183377777459,
      -0.186523383079654,
      -0.193232096988057,
      -0.520189758495517,
      -0.760821648472915,
      0,
      -6.28792942363748,
      1.28353598476898,
      -0.133012529221864,
      0.277539297553752,
      2.19435140692847,
      -2.06617677801051,
      2.59485627552365,
      1.14380180766414,
      0.104375539278986,
      -0.754006652641661,
      0.297683960092237,
      -1.64444280648669,
      -0.948885541184534,
      1.57471054708407,
      -1.05469826728171,
      1.490696741544,
      0.646013486034749,
      -2.87124242244828,
      1.32808416800698,
      0.778647108292577,
      -4.15512177302065,
      1.33173161745004,
      0.0326245519224707,
      1.75044032618984,
      0.435410336635779,
      0.322406523910137,
      2.57114322997872,
      -1.13680653965239,
      -0.462813522030345,
      -1.74332667112138,
      0.467868741412586,
      0.591910999210356,
      -2.36904582679498,
      1.29281129338416,
      -0.680108708709074,
      1.07238346679919,
      1.56192198456708,
      -2.67032574773995,
      0.928936219536761,
      0.524121978973784,
      -0.142997852983831,
      -1.34912609275084,
      -0.0848432238082321,
      0.76395332128691,
      0.190996366526871,
      0.371578134303144,
      -1.40398322472208,
      0.144736688540868,
      0.879094033654302,
      -0.766518364166766,
      1.05876531650022,
      -1.54910550289156,
      0.292128240932984,
      1.02497381056913,
      -0.540447671463436,
      0.598049745968593,
      -1.5484244337381,
      -0.466655544319395,
      1.37813761300019,
      -0.903447823097479,
      1.08562846197867,
      -1.10712061459656,
      -0.0924694875238348,
      0.518031278852602,
      0.1916875954939,
      -0.834642046100929,
      0.430289518240879,
      0.061476011215369,
      -0.13745605161973,
      0.403189630253664,
      -0.622611037267259,
      0.0739513402239788,
      1.02079594021334,
      0.02062176602121,
      0.221376766734259,
      0.4548028555215,
      0.260029430237158,
      0.390089792967328,
      -1.41524060871815,
      -0.495763612405467,
      3.47857637566399,
      -0.370357195194151,
      0.722158470832039,
      -2.59108755827923,
      3.84599755462958,
      -0.945688880465453,
      -0.811160886508419,
      0.738655296358123,
      -3.58777773433354,
      1.02354248790658,
      1.69980636298214,
      1.33157241967152,
      -1.59634806424146,
      -1.8611056208416,
      -1.07415047883778,
      4.60202884921269,
      -1.41279407178829,
      -1.3566316251666,
      0.74496749515965,
      1.64052417592712,
      -0.387127550301557,
      -0.0200993099963866,
      -2.02550883073559,
      -0.458614666814847,
      3.00374896691955,
      -1.64288936631028,
      -0.257580835704417,
      -0.548216468129208,
      -0.709529116300959,
      2.98143784582131,
      -0.983111444967753,
      1.97365890304407,
      -2.03907303792558,
      1.3215479821742,
      -0.939745878644177,
      -2.67362785310221,
      1.87121188219083,
      -1.18989122739012,
      -0.654347308491039,
      3.81279838640764,
      -3.68634514331263,
      2.30361423182607,
      -0.247911766875241,
      -0.229860952182148,
      -0.0485043658176003,
      -1.44185668157686,
      2.34637375265963,
      -1.23349533429169,
      -1.08956403037814,
      1.32443909329091,
      -0.552966373166358,
      0.590481544751278,
      1.50014651585202,
      -2.09382558781747,
      -0.0798207829351906,
      0.0863917359567025,
      1.33394117790218,
      -0.437588414583868,
      0.3216235480351,
      -0.29532840752527,
      -1.59969518439063,
      -0.158790770404624,
      -0.712115087752722,
      0.196397717129905,
      2.98618271367966,
      -1.18728956906653,
      -0.254050285172654,
      -1.41869366149554,
      3.2991590010846,
      -0.517483195222488,
      -1.08317801567311,
      0.970049954427916,
      -2.91218834485815,
      1.8606943136121,
      -0.456503873769492,
      -1.04393388694641,
      -1.01448571306411,
      -0.131213822785812,
      1.84718394007583,
      0.104834518534588,
      -0.868389025128884,
      1.8549467220951,
      -3.25378190349016,
      3.01223465287887,
      2.82428991036548,
      -0.793151292387679,
      -1.40039409002427,
      -0.944290729390965,
      0.0913878305944508,
      0.218396263889691,
      0.355518914658024,
      -0.936943834701354,
      1.56659132236001,
      -1.8511142845648,
      1.30765821867333,
      0.116382549106192,
      -0.0918157590980874,
      -2.65006288817698,
      1.82668486003082,
      -2.05571835202419,
      1.12761176066774,
      0.641403239148403,
      -2.19093865220414,
      2.80789192074503,
      -1.55421028363763,
      4.00462862298947,
      -0.414939319872353,
      -1.43478736078376,
      -1.35386231820301,
      -0.775751279215332,
      2.14445197344531,
      -0.587757753036016,
      0.795394738656439,
      -1.69273584812356,
      -0.113470090628565,
      -0.217680228657167,
      0.319655079627088,
      -1.73667638180256,
      0.395342909309791,
      0.373803599117902,
      -0.0406146996186331,
      0.625356725051947,
      -0.862250301580094,
      0.781414372770964,
      -0.04231142754173,
      -0.306876540910102,
      -0.28452455205703,
      -0.86835890662428,
      1.35813861120045,
      -0.365987240446017,
      -0.196751685948059,
      -0.247731621198,
      -0.469336929266629,
      0.955507683385138,
      -0.771837688526256,
      0.238892084491792,
      0.0629982118772857,
      -0.980018472643022,
      -0.231931630363891,
      0.64122228807681,
      0.183853988233213,
      0.292353865321279,
      0.346683997481005,
      -1.08995237733206,
      -0.261974305634863,
      0.733849914772743,
      0.386736542049877,
      0.181941137428199,
      -1.35959397125363,
      0.623144405934322,
      1.56876134689412,
      -0.352939058096924,
      0.114487718182639,
      0.280469580752524,
      -0.535389797887029,
      0.870696388862921,
      -1.18712565700614,
      2.03611194703356,
      0.125463371107118,
      1.20681568991523,
      -0.0393510313957225,
      -2.31595701775445,
      3.05149688925045,
      -2.95980275779081,
      1.58127629515216,
      2.69628430132496,
      -3.13854817747575,
      1.58757780454781,
      -3.46509088776305,
      1.48630709197009,
      -0.944345581098346,
      1.53259447295675,
      -1.15026073537879,
      -0.272065505553621,
      1.18069627134632,
      0.429126830660364,
      0.220480578212134,
      1.12443241610881,
      -2.33099302552779,
      0.126794964002636,
      1.95464921807687,
      -0.0249125184521051,
      0.193354638734932,
      -2.62351544213619,
      2.20855006091881,
      -0.975911700546652,
      0.0317189781335016,
      -0.7068570350712,
      0.108329856554731,
      1.6818877272696,
      -0.939865687325487,
      0.137983691480803,
      -1.233717716584,
      -0.67784833669709,
      1.92093964944393,
      -3.23014134184749,
      0.108631432351851,
      3.28517389304575,
      0.363595676472101,
      -0.530074215698746,
      -2.82723111262137,
      3.31862550970372,
      0.370657321686256,
      -0.598960643867477,
      -0.8542719527731,
      -0.111418911844246,
      -0.212639098761407,
      1.91593516295244,
      1.25795091497348,
      -2.80314513445241,
      -1.06860766091682,
      0.580588733841342,
      1.57705737315225,
      0.522065102606684,
      -2.28857920068067,
      0.40012439931808,
      -0.34941214307637,
      -0.420053162108603,
      0.431073922209345,
      0.145893078542613,
      0.389029601933022,
      1.24707199067029,
      -3.39103074835679,
      2.13617066557801,
      0.364129501953048,
      0.559871812235499,
      0.175874331114171,
      -3.4543685155313,
      2.90402638937268,
      0.0177568447485704,
      -1.14564357083484,
      0.067447340635433,
      -2.23305403946159,
      2.084283664454,
      -1.80377890299606,
      0.353514527112931,
      1.04017035192349,
      -0.579518375722203,
      -0.0393625952766889,
      1.53688149622061,
      -2.18311731478194,
      2.360349090127,
      0.0363546237694381,
      1.63397190331783,
      -0.799848459641643,
      0.0921647145184404,
      -1.49646231655405,
      -0.3060537010742,
      1.12999477439679,
      -1.6885880708385,
      1.63980339665042,
      -0.497594490948457,
      -0.817621129637858,
      0.69513395244351,
      -0.717052230846154,
      -2.28619385993763,
      2.45656062821597,
      -0.580695424097281,
      1.06027866455435,
      -1.79076765598858,
      1.45138495729981,
      3.18665881455108,
      -0.201608696736201,
      -0.606060222231242,
      -3.6419030874207,
      1.94068318322454,
      0.900062979288199,
      -1.76189446665756,
      0.37551620466185,
      -0.42055931750323,
      0.834935297690249,
      1.35022836493956,
      -2.76556552408328,
      -0.131501755211736,
      -0.33111158509868,
      2.38814576497272,
      -2.37822332488437,
      0.285542573592416,
      0.0494202091702609,
      -0.0550254295767693,
      0.963996466434837,
      -1.16159832736806,
      0.389329423096892,
      0.0249068516667745,
      -0.681151959968768,
      1.01164229745522,
      -1.01188706412733,
      0.54681314653463,
      0.740619369465011,
      -2.09162465669173,
      -0.121868236914134,
      1.02662051601411,
      -0.0222560117071353,
      1.03115778726738,
      -2.76287648900326,
      1.89603829106356,
      -1.14945105572829,
      0.00744030890603508,
      0.433471543969395,
      0.355155061350755,
      -0.579195242961277,
      -0.0118701321006171,
      0.0928323098937944,
      -0.2380468839256,
      0.503170692202526,
      -0.421513659800096,
      -0.0124587160234405,
      1.10935160132776,
      -0.167610997060391,
      0.372351398835577,
      0.401149794546374,
      0.257113175494169,
      1.83873949304839,
      -3.11833217673623,
      -0.927946694476842,
      3.35036802570871,
      0.00555566312762209,
      0.663040934290622,
      -2.95141755676321,
      1.76517470392433,
      1.64204975164235,
      0.192092151574024,
      -0.538927136235703,
      -3.00839171046394,
      1.52987361157507,
      0.626044063389723,
      1.15214825456163,
      0.604949120167928,
      -3.97368548913621,
      2.38687785884692,
      2.04821801289715,
      0.19286871913737,
      0.841841015166826,
      -4.94636319260082,
      2.1342863997533,
      0.385770480169083,
      1.12959167960568,
      -2.3073910572502,
      -0.14882116464873,
      1.96064959466003,
      0.184115687557832,
      -0.923499747019253,
      -0.0371560028822787,
      -0.292389721364299,
      1.58314184349723,
      -2.9036596647564,
      0.755190028589181,
      0.00654787410173637,
      1.43899782336207,
      -0.0354481707744482,
      -2.80550567324973,
      2.23570080618243,
      -0.997147192628883,
      -1.23318247070414,
      2.38912923096194,
      -3.54337140841426,
      1.45225249736638,
      0.882351882809842,
      0.458824678842434,
      0.31075164369859,
      -3.37664437782815,
      1.4680491931524,
      1.46042246087678,
      -0.46544158060621,
      0.417921370421218,
      -2.14292949323143,
      1.05417282458902,
      1.83941858414116,
      0.458238357378657,
      -1.2596937093306,
      -1.95270607198888,
      0.844079043865492,
      -0.0236499063073339,
      2.41351848321769,
      -2.24974477618073,
      -1.26769138165894,
      1.05564592200404,
      -0.366803272221929,
      2.29350404010471,
      -1.68103169757781,
      -0.84516650827871,
      0.79009341546534,
      -1.07998820744946,
      2.05349922329221,
      -0.834621869880944,
      -0.0121749575487597,
      0.589391147586386,
      2.05996290652958,
      -0.27520613585785,
      -0.181830876314593,
      -0.112434284991155,
      -0.407532070596055,
      -0.699415844044907,
      0,
      -2.51498907017065,
      0.586565791236485,
      -1.13331065978734,
      0.458811559400261,
      1.29564506488084,
      -0.660204897167036,
      0.918217878835248,
      1.98159033892648,
      -0.237531704901545,
      -1.27341218327951,
      0.33136565752551,
      -1.46702487201647,
      1.35925773126414,
      -1.09763945724899,
      0.387992181262426,
      0.874695117908295,
      -1.26183697468145,
      -1.49544233939429,
      0.620725560520763,
      2.20742141546972,
      -2.60718331958793,
      0.0496466885593439,
      -1.10470360697495,
      0.678409771766179,
      0.483711686918786,
      3.62387041873678,
      -0.367183126669995,
      1.36168705688226,
      -0.613913577902541,
      -2.73658465465274,
      1.45970194104984,
      -0.996301038171074,
      -0.749253739986967,
      0.135695351819487,
      0.236163456946773,
      0.580196885144266,
      -0.340777862948976,
      -0.85584697524033,
      0.891464257572465,
      1.139682919765,
      -0.865008870953257,
      0.521460589724256,
      -1.13830041813339,
      0.25250851722128,
      0.917353112871498,
      -0.188789148378171,
      -0.911742991796081,
      -0.787205165248849,
      0.718357873667422,
      1.09606860173253,
      0.359015944741754,
      -0.763033519612321,
      -0.192380035372842,
      0.480150507587844,
      -0.196620138969107,
      -0.103301728316082,
      -0.335889664221571,
      -0.479091199855868,
      1.29872871509946,
      1.28591390217753,
      -1.1041251395535,
      -0.494665596418103,
      -0.445029392009826,
      -0.335854947741131,
      0.945587270802133,
      0.422664148714547,
      -0.938668785838078,
      0.841052123548023,
      -0.779746572739343,
      0.505347607215118,
      0.977920464345821,
      -0.746357007398914,
      0.255267527973765,
      0.159283181025276,
      -0.354092376175138,
      -0.658921584706987,
      -0.75948777020167,
      -0.573792975640618,
      1.3136489948117,
      -0.167756283739228,
      3.70582567630431,
      -0.790771634129423,
      2.15827426116203,
      -4.48628274951184,
      1.02491456835381,
      1.50499935759855,
      -1.78753777140697,
      3.19744243222912,
      -3.71517157132139,
      1.25504366706181,
      -1.70413234577344,
      3.56527464311827,
      -5.76038694791737,
      3.01728791687168,
      -1.32140445524051,
      1.11451442867047,
      -0.237374559458143,
      -1.92377750513424,
      2.18366198617727,
      2.11439165224656,
      0.0330692013772957,
      -1.31979899970752,
      -2.18894647111574,
      2.05734930678111,
      1.80945188474659,
      -2.56909545347716,
      -1.31446860473047,
      0.924760905057999,
      1.26718840239238,
      2.61755123179067,
      -1.12306561953393,
      -1.63599171705063,
      2.90694229780209,
      -2.00657621792942,
      1.49450452203391,
      -3.93129724915482,
      -0.499467947298174,
      4.18134898028736,
      -3.46557576060907,
      1.19894943751934,
      -0.295558710240267,
      0.0118846426105923,
      -0.193012413940438,
      0.922270945849609,
      0.84139921944541,
      -1.61764228716399,
      2.05512630885129,
      -1.28582750920029,
      -2.64106991941728,
      1.52911620393646,
      0.641801724338127,
      0.295735033572634,
      5.04505287121947,
      -9.39302439293228,
      3.76124654274439,
      0.302638640313849,
      1.07177646457409,
      -0.945364435057594,
      0.616175402321584,
      -1.018959583291,
      0.648232045749715,
      0.742095382944504,
      -1.82762167813317,
      -0.448257903810248,
      1.72100190286509,
      -0.106180508771572,
      -0.603908882151085,
      -0.710072085485315,
      -0.660016491784681,
      3.15976439105067,
      0.687497927374956,
      0.213104744007695,
      -3.22957830545008,
      3.88660312422755,
      -3.6482574014855,
      -1.81809729039845,
      1.81487751799088,
      -0.999282609938379,
      1.30036075858837,
      -0.906168671707196,
      0.300294604872566,
      -0.0870970813474007,
      -0.862387797575999,
      2.32020809415403,
      0.337485821462855,
      1.34633262898506,
      -0.588723366038843,
      -2.36358873835606,
      2.06944891565538,
      -1.27215547583045,
      1.03647727656431,
      -1.11074305811464,
      0.1981255206288,
      -1.4809098772793,
      1.19408678035519,
      1.09686706490082,
      -0.508680651630406,
      -2.73931646870323,
      1.60853390829777,
      -0.551015348058811,
      -0.919112679369457,
      1.45702892467399,
      -1.34115902356527,
      1.06978518750388,
      0.542337714491279,
      3.50186490778993,
      -1.97932340791093,
      -0.932657652132158,
      -0.000959168069854981,
      -0.621216781041165,
      0.73597757840177,
      -1.29959807326615,
      2.24225250559127,
      -3.1879861854427,
      1.29727981097919,
      -0.0677715174591903,
      -0.600079859099957,
      -0.0970345389223986,
      -0.117466736538302,
      -0.0843682078866607,
      0.0315457026978748,
      0.232367699819257,
      -0.784833150240693,
      -0.0969211789533458,
      0.552375711328648,
      -0.254677377584512,
      0.148107012107408,
      0.393774907432958,
      0.308338703218719,
      -0.293696174584713,
      -0.401367461222533,
      0.608754843637439,
      -0.574501875835,
      0.376975779939656,
      -0.603635058266927,
      -0.812003575375383,
      1.96274228929127,
      -0.618915261469764,
      0.1113565810451,
      -1.00155087083252,
      -0.478920292217443,
      1.8599051077699,
      0.48809019486126,
      -0.613304060382618,
      -0.199003160222616,
      -0.0652345419457198,
      0.68871826883611,
      0.8464964430486,
      -0.187189501622724,
      -0.661061334584935,
      -0.261065903529982,
      0.256017543285398,
      -0.327697608669016,
      -0.924889387972813,
      0.684182164374095,
      -0.0626753520070085,
      0.0425697050457984,
      3.10821728926647,
      -2.00597480369629,
      -0.732683718376692,
      1.32738255225153,
      0.409036016298495,
      0.323172501667674,
      -1.2971807732825,
      0.140545171184535,
      -0.366972203344974,
      1.10613759521285,
      0.781285449793758,
      -2.39086774354745,
      0.266697183032249,
      0.088645118927314,
      1.20635288090404,
      -2.36285134573762,
      1.1320982343804,
      0.422138855549979,
      2.04207268949564,
      -1.77551284242623,
      0.793799734109605,
      -1.47897035880812,
      1.28479068507402,
      -0.695171330860423,
      -0.0393017782768018,
      1.72635608002344,
      -2.18688114352356,
      2.88595190826659,
      -2.45383619000505,
      -0.29135036803346,
      -0.93716948653549,
      0.796224907203702,
      2.69917031042156,
      -2.34277917208209,
      -0.257932771495142,
      0.123545076711747,
      -0.0764069490302137,
      1.93569678188809,
      -2.67379304882953,
      -1.99301725986029,
      1.40503774029647,
      2.69946754971524,
      -3.74030051265295,
      1.84578728170224,
      1.14161676317893,
      -0.106979244785348,
      1.20692126649454,
      -3.9346681477532,
      2.41398208820798,
      0.841163421960147,
      -1.06095930407062,
      2.96080587465418,
      -3.10961683495136,
      0.801542053743808,
      0.027351406885581,
      0.555340476857085,
      -0.0559020714493035,
      -0.153790692409042,
      -1.70143744617426,
      1.0945829331279,
      0.399399357563752,
      0.708901369391601,
      -1.16191139339109,
      -2.05717370386685,
      3.63059913367511,
      -1.91135230678809,
      1.8646111831861,
      -2.10039113818995,
      -0.658785754254059,
      0.862767678081185,
      -0.584520509960603,
      3.31855108384815,
      0.185279950959154,
      0.249649001517532,
      -0.352649319337196,
      -4.42253818453785,
      0.676711290456295,
      -0.821845253671251,
      0.514125021585273,
      0.719237410504774,
      -0.811067530041599,
      0.368732745947665,
      0.218511169906253,
      -0.451305854932827,
      1.3759290577532,
      0.575985177281464,
      1.65494755456702,
      -1.99667789641354,
      -0.029389417184276,
      0.0862232804360854,
      -0.17381972587041,
      0.319160212110947,
      -1.06969637707659,
      0.516792884414913,
      -0.165159510475751,
      -0.346662534006575,
      -0.322925142760397,
      0.607533576453298,
      -1.5985522452456,
      1.40056993090393,
      -1.02993494719559,
      -0.715007234553061,
      1.33147512250192,
      1.57842963115736,
      0.737997752196498,
      1.5300444797062,
      -0.533606731692955,
      -2.99268044068737,
      1.24939610289464,
      -0.726042756734929,
      0.436977727948642,
      -0.997350734648729,
      0.454439526663854,
      0.916445858408929,
      -1.37783031691564,
      -0.442427377354269,
      -0.475620119517609,
      0.576956462416314,
      1.18765999383672,
      0.657209377951402,
      -1.87220547676295,
      -0.393785904120625,
      0.917213832043724,
      1.53751390871851,
      -0.776212549272234,
      -0.651799231183444,
      0.670758435327732,
      -0.98669936281946,
      1.29595324096382,
      -0.256086321664304,
      0.570458175014796,
      -0.458216433814701,
      -1.28212904289819,
      -1.20470612971237,
      1.32214703492018,
      0.39243873920397,
      1.22752403290786,
      -1.09126966518393,
      -0.0964978332297137,
      -0.869265421833807,
      -0.4629494519515,
      -0.298101102776767,
      1.0013049324053,
      0.744023177696198,
      -1.26803787845577,
      0.695744984326822,
      -0.644041199673013,
      0.55747002575724,
      1.0966113224774,
      -0.94724463613236,
      0.269339348545525,
      0.140775582433655,
      -0.04517499571688,
      -0.88561442102338,
      -0.67470574447126,
      0.822254112223079,
      -0.251790847930761,
      -0.792093641906081,
      2.50526285634004,
      -0.28202557057932,
      0.0976994108218986,
      -1.63121970345774,
      0.928869324270004,
      1.17617997858947,
      1.64895734222377,
      -3.25799399194286,
      0.0362279420435509,
      0.249125035228809,
      1.48219584324733,
      0.986674315480792,
      -1.81140307897283,
      -0.832190336501378,
      2.27808774744045,
      -0.997536677975091,
      1.89819169532874,
      -1.57118619957669,
      -0.718697049925784,
      1.15031757912741,
      -0.525082751493911,
      0.359228827933593,
      -1.47308480549345,
      -2.15831128185537,
      3.32936452260662,
      -0.0372621639738511,
      0.742067367616502,
      -0.632863955977861,
      -2.98876067844343,
      3.05740864958387,
      -0.671955041769481,
      -1.40765121634866,
      1.9397060427042,
      1.24240263181725,
      -1.48206589940189,
      -1.54670986214522,
      3.82358782881468,
      -0.868744541400671,
      -3.49512177864588,
      2.71433196411052,
      -2.8164109567431,
      0.765071966120662,
      -0.200241651780291,
      -0.944380753942278,
      3.30539668607307,
      -2.95693223672987,
      0.784700090267145,
      -0.537716902879054,
      -1.0372479393781,
      3.57502678060822,
      -2.47622149030167,
      1.0400244543977,
      -0.438606670417981,
      -1.76350430134178,
      3.22119173327503,
      -1.25810040447069,
      -1.99323556141246,
      3.74574857510123,
      -3.81420081468841,
      3.35263168117043,
      -1.7120150913088,
      -0.192669348352128,
      0.346022499543476,
      -0.772428222296613,
      1.46754236571955,
      -0.0253989696503218,
      -0.805469844927673,
      -0.106480719686445,
      -0.0602287482933179,
      1.69917258448742,
      -0.538851921931285,
      -0.375008295912392,
      0.233534365168602,
      -0.404254258569953,
      -0.134509664210127,
      -0.0594483015810224,
      -0.299450528532088,
      -0.633148892731057,
      0,
      -1.53844539052731,
      0.425143613616257,
      -0.953359402726265,
      -0.13212151701233,
      1.06054447199535,
      0.11183896622016,
      1.93865153831881,
      -0.175165480238652,
      -1.44419231762937,
      0.453105762841809,
      0.706100398012106,
      -2.22640815023508,
      0.907287702137839,
      0.723737996352817,
      1.03660049725013,
      -1.01311219182122,
      -1.21953262847737,
      0.528610647700531,
      -0.0278013844041914,
      0.615859141613493,
      -1.90165937268725,
      0.334932588918533,
      -0.390898691972119,
      1.48213321716292,
      -0.718312715506814,
      1.4775933838553,
      1.02371486292432,
      -1.00227979058543,
      0.101820430490473,
      0.471661648851394,
      -0.80405622089038,
      0.150197475390797,
      0.52164794452415,
      -1.56456831345552,
      0.926072309746002,
      -1.88378124134043,
      1.92834000695837,
      -0.379293079293103,
      -0.146415242683087,
      -0.176738117094099,
      0.890214862546893,
      -0.994710539559397,
      0.356294553207832,
      0.292938630674829,
      -1.07721701428044,
      1.47399388645412,
      -1.58683123391634,
      -0.735433368678416,
      1.20492721049239,
      -0.0359350265115335,
      0.457980734236428,
      -1.68380080269291,
      0.749540536348571,
      0.391272264073246,
      0.461365995954511,
      0.0578946209313393,
      -1.90639686915323,
      0.695942050219693,
      0.527999690079718,
      -0.288067844412919,
      -0.307442978032904,
      -0.392230038796968,
      1.05768250672785,
      -0.0278378832618592,
      -0.408640062073037,
      -1.38577803944999,
      0.879681459417673,
      -0.24526663735199,
      0.0643776773672823,
      -0.284238747585963,
      0.472659035136104,
      -0.132271978268154,
      0.168634681349092,
      0.197416719551942,
      0.565192280049174,
      0.585119884132019,
      -0.292814164036446,
      0.160424941303324,
      -1.15205227344587,
      -0.323155041427358,
      3.37857713303376,
      -0.672054532110296,
      -0.131728165021949,
      -1.6885004342284,
      3.02186492735382,
      -0.179234705511346,
      -1.1973034462445,
      -0.651336453479509,
      -1.18491002574617,
      2.40162694497416,
      -1.63254952496655,
      1.25491140079562,
      -1.94956784584991,
      0.120446175212935,
      -0.987140858952293,
      2.04864582892016,
      1.61425944454421,
      -2.76702297276029,
      0.775745892263358,
      2.61727559099995,
      -1.25071228338785,
      -1.76246242764437,
      0.333047751781712,
      -1.11575480828848,
      3.69719943190027,
      -0.712499472688625,
      -1.98891567021534,
      0.407325213392481,
      0.24766153101925,
      2.09439956141947,
      -1.98101505082717,
      0.623933689933549,
      -0.576816799916381,
      2.05302447905012,
      -0.991026279949226,
      -2.65333054837234,
      1.5482609779551,
      -0.609042436693896,
      -0.120456071203615,
      3.06075229446815,
      -3.54610495391284,
      2.52987746816225,
      0.20804891659531,
      -0.325988686661867,
      -1.60731925176395,
      -0.358505999903414,
      2.2995004081016,
      0.162073996206721,
      -3.36806761852058,
      2.75437556938107,
      -1.38974671456742,
      -0.0596712644338196,
      -0.00663217958444918,
      -2.10075321281476,
      2.5833661269066,
      0.152682865308069,
      1.16587462355808,
      -1.6713486306613,
      1.68718382858153,
      -0.165232875299447,
      -0.831080977982504,
      -0.191273148671464,
      -1.68903447530692,
      0.228834408255488,
      1.75840334787688,
      -0.124679452971643,
      -0.341012331205435,
      -1.70375443203473,
      2.32295038765658,
      0.709695392569119,
      -1.11968294344321,
      -0.314033412334571,
      -1.59488312742461,
      2.94262585381458,
      -1.08167140690151,
      -0.818337684162407,
      -1.18701370172434,
      -0.462761930019479,
      1.43089569373751,
      0.491711031140615,
      -0.859752601720796,
      2.01150875587414,
      -1.80852519304401,
      2.34729676149747,
      1.15532219411705,
      -0.191837385000011,
      -1.02761812771186,
      -0.93512696152645,
      -0.449845211804617,
      1.03498199911,
      2.41619875671463,
      -3.05187669371494,
      -0.511718547120337,
      -1.56560052842765,
      1.97349188784241,
      0.978016235018756,
      -0.0320620344296972,
      -1.57436232626266,
      1.63657858422593,
      -2.59439723589922,
      0.937919951138005,
      -0.123320230556225,
      -0.260883667474384,
      2.75088260074779,
      -3.06299674396237,
      2.66894899435004,
      0.61170952672938,
      -1.56390014486751,
      -1.25565634979074,
      -0.636392614052966,
      2.75625503504077,
      0.407177309510497,
      -0.110833894943091,
      -2.36715273967709,
      0.287357661631043,
      0.264165611615771,
      -0.0537971790114256,
      -1.44019907295993,
      0.810461609131788,
      -0.813360685552762,
      0.500463223462219,
      0.325395291576203,
      -0.365273476516437,
      0.128047245996227,
      0.142551973281774,
      -1.02976101559253,
      0.551763748802692,
      -0.47827960175954,
      1.04465497778318,
      -0.511184626105777,
      -0.222931531884839,
      -0.391469136824172,
      0.0930567351287493,
      1.32693299409806,
      -0.0126471169559956,
      -0.520665335208545,
      -0.749169444566544,
      0.278822104872256,
      -0.953269279624595,
      0.421904968286003,
      0.718344462914114,
      -0.872059614127859,
      0.772615940081881,
      -1.81776197190397,
      0.369396385769953,
      1.19077534352923,
      -0.159218102407124,
      -0.426010726232664,
      -0.0568787646053393,
      -0.232108391305615,
      1.80802667958761,
      -0.129487297572566,
      0.422071752312181,
      -0.347552857887413,
      -1.37703204276091,
      0.987192675839667,
      -1.03962903630552,
      2.54681214402209,
      -1.77782519101742,
      3.34036844487857,
      -0.698277914980779,
      -1.12811439906072,
      1.86709481490662,
      -3.34978868651296,
      2.72918008939474,
      0.331356645594732,
      -0.857024750689588,
      0.961279383396973,
      -3.25787118869778,
      1.2736778350349,
      -0.415140010773202,
      0.84544097667223,
      -0.883552889952461,
      0.0373459419979288,
      1.21116063232513,
      -2.50297531054906,
      2.99716770487448,
      0.605426293606386,
      -1.78490134183408,
      -0.0302608482506405,
      0.673783448173194,
      0.632039923762744,
      0.795999895492011,
      -2.27289603120113,
      0.780273308243521,
      -0.866137606839997,
      1.801502663655,
      -2.09809171322516,
      1.61705983559811,
      -1.73751719804485,
      0.200206997953795,
      -0.76594463700524,
      2.25116444010712,
      -0.717799144108235,
      -1.58813626798785,
      -0.800125932786113,
      0.431958425994965,
      1.83252016474437,
      0.853671382057791,
      -0.355649719427913,
      -2.47521865657996,
      3.59032602481408,
      -2.14157442858019,
      2.34680465112447,
      -1.64592467707454,
      -1.10226594663216,
      2.46291875372541,
      -0.356738483026159,
      -0.904778393045208,
      -0.675942086408706,
      -1.45155593439273,
      0.858343118468097,
      2.19651485339461,
      -0.314758008628809,
      -0.503464904172905,
      -0.719620614216011,
      0.0488733222042285,
      -0.484611920034172,
      1.34384078085716,
      -1.53350264488676,
      0.485031994969253,
      0.383140723183273,
      -1.32821412490676,
      1.72610329419615,
      -0.437225767996394,
      1.0040045266995,
      -1.67873719872121,
      -1.07401504231706,
      1.27171407540757,
      0.627387467282481,
      1.48363217471942,
      -0.141084371801264,
      -3.5634850639514,
      3.33758084941852,
      -1.62023461164076,
      -1.68572318762855,
      1.02753679243671,
      -0.593368721415097,
      0.552927545799546,
      0.90673394660108,
      -0.974896404523058,
      2.65617151762514,
      -1.04008424418774,
      0.539158004344889,
      -0.0104190962840645,
      0.468425399358431,
      -1.05388530705073,
      -0.177090882935144,
      1.0586913779892,
      -0.613580145037232,
      0.0804384331728137,
      -0.92589764315289,
      0.772472717720588,
      0.191101306763035,
      -1.51977925258927,
      0.407355084060402,
      0.0408893854528768,
      -0.41076560961224,
      1.1804412680739,
      -2.30902085043447,
      2.5625540820369,
      1.4079141314517,
      0.03091670231688,
      -0.094883884641212,
      -3.61391552207956,
      2.969909242658,
      0.0889279840065754,
      0.213644549918506,
      -1.2916750200904,
      -0.580044787814605,
      -0.00795563363292672,
      1.12978933462787,
      -0.901520670914133,
      -0.924813387202748,
      -0.79753410202315,
      2.73395036438623,
      -1.57044014088306,
      0.219381744756875,
      -0.191231434885583,
      -0.962545537483727,
      1.651352092592,
      -1.40128364146488,
      -0.123991593417315,
      1.27800044242697,
      -1.34620290647528,
      0.498690725130878,
      -0.562915200117579,
      0.579843263602827,
      0.420460327668071,
      -0.934776331101146,
      -0.125223521776495,
      0.128724835170851,
      0.982923976015266,
      -0.738875071659492,
      -1.44168328912375,
      1.18979804474251,
      -0.74867827807597,
      0.833790811646102,
      0.316332030340684,
      -0.32541345302843,
      -1.19972557938912,
      0.52679909156075,
      -0.333894591099913,
      0.202755623521359,
      -0.292066581396711,
      0.658647311506744,
      -0.392233408803553,
      0.180319400855522,
      0.227934105321255,
      0.705508076570789,
      0.798645257794954,
      -0.658453121950578,
      1.64666645794387,
      -2.61338276124064,
      -0.710690866520523,
      3.00603589967404,
      -0.671280272367197,
      1.14574778364864,
      -2.9739526936837,
      -0.551820844556093,
      3.97625109510814,
      0.316639304996351,
      0.247187688215562,
      -3.53893297064503,
      1.92017995793373,
      -0.911131657358601,
      2.42833594623239,
      -0.207800517885566,
      -3.16624122271538,
      1.92436991131779,
      1.47358602113066,
      0.229884790018852,
      -0.785417957148741,
      -2.23984628704484,
      2.89874572672184,
      -0.427486949518314,
      0.40150363542738,
      -1.97276253072707,
      -0.373239108390159,
      0.376447623669156,
      1.37000492500729,
      0.170245269647458,
      0.126678718575853,
      -2.06782148928248,
      0.157796461416081,
      -0.420250039220752,
      1.45528573846377,
      -0.827019636523891,
      1.98343549207821,
      0.161474784953765,
      -3.14944735542796,
      2.28669274545042,
      0.321249635942346,
      -2.91906353386787,
      1.96174564089171,
      -3.16757155822233,
      1.35687458080424,
      0.896288366779886,
      -0.249233258095898,
      1.06750187357558,
      -2.22906941457289,
      1.46323928985732,
      0.843431404559296,
      0.15443698249316,
      0.353460196511352,
      -2.42051888961966,
      1.45518066440207,
      0.658779606885136,
      -0.964647503787636,
      -0.0954879982755476,
      -1.37569559945956,
      2.17407527204884,
      -0.574010590550064,
      -0.250150883837632,
      -0.28246848402024,
      -1.01175078474488,
      1.2496293848141,
      -0.753715631902858,
      1.41072060107167,
      -0.71451164572748,
      -0.310874162862154,
      1.34809812082579,
      -2.02904467149379,
      1.86095329878,
      -0.469908703361594,
      -0.073868565935619,
      0.623318725593367,
      1.10650545656211,
      -0.499862807395728,
      -0.0912248868245482,
      -0.029698290357027,
      -0.1994791877764,
      -0.563052345827964,
      0,
      -2.96431825685642,
      0.359266659242382,
      -0.249247327631938,
      -0.16155342222438,
      2.14339750906506,
      -1.74186290693527,
      1.63685949599592,
      0.0164890236937229,
      -0.664128009557076,
      0.862015942362043,
      -0.128558683899321,
      -0.422841807507008,
      1.43262490426775,
      -1.66503910739617,
      0.608383572805693,
      -0.143299420731385,
      0.72668773564578,
      -0.718735658676791,
      -0.101907581200073,
      0.832636058087206,
      -1.89644479945878,
      -0.774676882066254,
      0.144870132331025,
      0.437735820673322,
      1.09608446751964,
      1.98093325332618,
      -0.810582474405456,
      0.509981450544413,
      0.238318977856199,
      -0.777072541766845,
      0.517161920648124,
      -1.19494373493517,
      0.278886939474056,
      -1.63486183802312,
      0.271029688029089,
      0.390028158298891,
      0.897072949532761,
      -1.15040654197279,
      2.25222881186071,
      -1.27042992468862,
      0.124093972193673,
      -0.897452840722259,
      -0.102586955495001,
      0.322099770498616,
      0.542608752042801,
      0.517260248873375,
      -1.26232626973848,
      0.0849241107155945,
      1.49533677258084,
      -1.93240773056941,
      1.77117972012296,
      -0.988758181002203,
      -0.486893632322615,
      1.60122387102312,
      -1.16299011556626,
      0.616749291196915,
      0.0798911919076264,
      -1.42008801906442,
      2.24285345140529,
      -2.16467058821808,
      1.81197430475859,
      -0.0357992038333947,
      -0.87217058629454,
      0.589753273781084,
      0.2440700867554,
      -0.946975327196688,
      1.23560850121744,
      0.0423850525891789,
      -1.15151503942892,
      0.961511600321714,
      0.0901802185453483,
      -0.677947626105011,
      1.18860474224104,
      -1.39370346023718,
      0.927425883280929,
      -1.01921713487317,
      0.838428671874708,
      -1.81566526816332,
      0.357136407322632,
      1.16703304298735,
      2.42546311724551,
      -0.465535444900427,
      1.50966831684246,
      -2.57487871180803,
      -0.102582992304734,
      1.45982959049053,
      -1.80976786644198,
      1.54135802022281,
      -0.957285820148189,
      -0.976557218303538,
      -1.58301376764435,
      4.7773699310165,
      -4.5298391722605,
      2.11621742402908,
      -1.02200796552351,
      1.97684464196537,
      1.13305704475427,
      -3.7262178279082,
      1.47680505868622,
      1.08949341740119,
      1.25077269165493,
      -2.70267114163027,
      -1.09647765800113,
      2.83535730250272,
      -0.261620718633922,
      -0.744635852423827,
      0.996735995306815,
      -1.91244910280344,
      1.93798893203777,
      0.749754798149387,
      -0.569452192646214,
      -1.4674223152911,
      1.07829735451744,
      -0.149822807189192,
      1.03933030260123,
      -2.17275174933641,
      0.41276249230512,
      0.711372528750301,
      -1.3253786249291,
      1.22521528903416,
      -0.144261193086162,
      1.58727474595792,
      -2.59976781922929,
      0.587423982474285,
      0.719244517136276,
      0.161404465728879,
      0.272775476502573,
      -0.510448325850349,
      -2.96314730753418,
      1.85444843042123,
      0.718325510040335,
      -1.52586808821672,
      1.45194823969772,
      -1.72807670898716,
      0.595323304156602,
      0.775611576095345,
      0.605179723151964,
      -0.317714094439273,
      0.198490021521829,
      -0.98025115798137,
      -0.260621970079095,
      0.466934233689461,
      0.0826694268731677,
      -1.84627840765488,
      0.878768326778759,
      0.498474499579703,
      -0.00780667996104111,
      -0.169307453747322,
      0.586775923215968,
      -0.816575449816691,
      1.38689706430078,
      -0.616728652921725,
      -0.262667556914679,
      -0.05819986983957,
      -1.25519288009866,
      -0.656243830774229,
      0.342176687858957,
      1.29678694539153,
      -0.471409153727573,
      -0.288761205411201,
      0.713962336375206,
      -0.02691929545045,
      -0.17855037107636,
      1.83362779310025,
      -0.745775920394886,
      0.623265618451805,
      0.229122391016279,
      -1.29976640792126,
      0.47979965400056,
      0.675761838649085,
      -0.32636182752988,
      -1.09291706738753,
      0.361559808684665,
      -0.699958759041074,
      1.80632724012677,
      0.575195712800726,
      -1.68543781884951,
      -0.231102731473509,
      0.281303224279103,
      -0.485044826095542,
      -1.32394049844126,
      0.856647541876886,
      -0.381862563840356,
      1.81651730898899,
      0.0106151549760956,
      1.37509276829426,
      -1.26659409956996,
      -0.100440290958564,
      -1.61566604450249,
      1.85595856388272,
      0.743265312344428,
      -1.36347639409953,
      0.584093204663583,
      -1.54563976078242,
      0.625902692879038,
      0.0957936995094515,
      -1.18812997858158,
      0.318402982544399,
      -1.27095038959332,
      0.408102026785941,
      -0.631409840292806,
      1.32876474444259,
      -0.775525788210297,
      -0.323518216973139,
      0.364977830111494,
      -0.144966503480868,
      0.444022036215065,
      -0.0708890430918646,
      -0.0382414662057342,
      -0.415673167160515,
      0.572850064192327,
      0.645882636809265,
      -0.545320002437505,
      -0.334388813822629,
      -0.405136486181097,
      0.490560657269815,
      1.52969649837629,
      -1.49544280815107,
      -0.396123312059677,
      0.646353774287662,
      0.867692229331912,
      0.899058441513137,
      0.299270330675543,
      -2.36934013396239,
      0.317144112895648,
      1.00572263716382,
      0.192458584866264,
      0.577979524862487,
      -0.885739361879697,
      -0.160403999259031,
      -0.269972705334351,
      0.950775888771323,
      -1.09278274565015,
      0.428067779617935,
      -0.699478035059904,
      -0.941746271709129,
      2.08496655396502,
      1.29196260897458,
      -0.378105931925845,
      0.349194790015473,
      -0.468082829273491,
      1.16335005412154,
      -0.490409461300395,
      0.500473584591704,
      2.87447636493396,
      -4.33577537761831,
      1.10437511504123,
      0.0250448695131157,
      -1.04682729372914,
      -1.62654384624862,
      1.64948532910777,
      0.0717057524260673,
      -2.78980709513657,
      3.11587014835794,
      -0.459646114259291,
      0.0628142817026754,
      0.117998593165409,
      0.0995724511821968,
      0.0460166146991175,
      0.111329579174661,
      -0.707490156903373,
      -0.0356947114774695,
      1.27369019746421,
      -1.74193901735335,
      1.66991373361601,
      -1.01071700508762,
      0.115634878254054,
      -1.09566228988404,
      1.23786763985156,
      0.582758531837301,
      -0.190388155707007,
      -2.40294747969327,
      0.893458515767197,
      -0.00208115786020916,
      1.40990152473052,
      -1.00183109739783,
      -1.66439723248416,
      0.423948780566321,
      2.31462031917343,
      -1.46484315428533,
      0.941110821969446,
      0.507269459374889,
      -1.76476968227325,
      2.42409771451515,
      -2.25741854398204,
      1.33925355800161,
      0.429327168466281,
      -0.3980211630914,
      1.43431692763277,
      -2.10183752628146,
      0.632204628179425,
      -1.03791596870396,
      0.409347798679635,
      0.300545009621783,
      0.625460721588675,
      -1.28405919790188,
      0.243558649401858,
      0.129801925965505,
      0.432652691617204,
      -1.78004000288638,
      0.018829614300742,
      1.96008316404754,
      -1.32897292191322,
      1.29261927646054,
      -0.929816379864905,
      0.906258635032254,
      0.619267644568717,
      -1.90122256690696,
      1.39671925451967,
      -1.07697930667263,
      0.0264104674843968,
      0.367863333489882,
      -0.75494074212324,
      -0.839353034248453,
      -0.737769066721647,
      -0.462395045231634,
      1.20836071875117,
      1.20865897083726,
      -0.975116378834,
      1.30038138601815,
      -1.36604984899385,
      1.76192767376389,
      0.258795462703524,
      -0.460344761904323,
      0.0377733371186243,
      -0.321490150578467,
      0.147737322051326,
      0.555205430293428,
      -0.494126428433476,
      -0.204323133743114,
      -0.495339571346573,
      0.133491091077081,
      0.336984860320589,
      0.383064705030543,
      -0.0404630520380131,
      -1.45472086421077,
      0.255782016277412,
      0.14598931257312,
      -0.342121206006018,
      0.963290392139725,
      1.40318382916461,
      -0.703155507050399,
      1.43484391011759,
      0.127713222157881,
      -1.68301564694978,
      1.13605778205728,
      -1.05435103637361,
      0.641962592451135,
      -2.09485077171259,
      1.67789183044044,
      -0.0151784344677041,
      -0.704508256136108,
      -0.221609498960487,
      0.302502574117981,
      -0.0393978197853907,
      0.187527413994935,
      -0.065067935511623,
      -0.382276207846401,
      0.289184098915419,
      -0.0926393063897253,
      2.31890527592898,
      -1.95681224330448,
      -0.0623385635371223,
      0.810377360701606,
      -1.65155687485672,
      2.13912637630212,
      -1.37897907686457,
      0.251005297548069,
      0.429389715288993,
      -2.07349348226137,
      -0.440282295229874,
      2.10213594690481,
      -1.06979689512696,
      1.60518393532587,
      -3.00804259088623,
      1.93214972601266,
      0.0238309034628838,
      -0.934685056065582,
      0.51599133137666,
      0.346189971223051,
      -0.533940773005955,
      0.79978001274781,
      0.00245632182932462,
      -1.33230362697497,
      1.39385027483137,
      0.112482818513793,
      -1.03366109460253,
      1.51725116164265,
      -1.71509838816878,
      1.27635126235143,
      -1.08972626744165,
      0.672247532272158,
      -0.523812910341918,
      -0.956890545419066,
      0.680597854953796,
      1.51646017799048,
      -0.427973063250627,
      0.303882642209411,
      -1.18447866212354,
      0.047583983764709,
      1.55115072951918,
      0.852196504759066,
      -0.460634015502113,
      -1.19697396463184,
      0.602933619222981,
      -1.13231472400749,
      1.73905345837953,
      1.21212830467097,
      -2.24200166012869,
      -0.369722764299931,
      -0.0695197178079257,
      1.487089322703,
      -0.0108256724792767,
      -0.504811009198013,
      1.28208018921337,
      -0.710852281494953,
      0.498504236404282,
      -2.22496348948141,
      0.311022919306956,
      0.26540845691616,
      0.285092404230045,
      1.55929815606289,
      -0.628022525492647,
      -1.04058089849678,
      1.75952685125774,
      -1.15295883732306,
      -0.224240236067487,
      -0.730082453033842,
      1.7893003885236,
      -0.83316414543792,
      -1.34622005115469,
      2.63974663730917,
      -1.16273993860212,
      -1.60639567076868,
      0.710567179831438,
      -1.02062823062638,
      -1.57666647054604,
      2.64776139539346,
      -1.11657829152284,
      1.18632677127281,
      -0.303101275036319,
      -1.71862184754522,
      1.94005624609762,
      -0.956331549838598,
      1.42063636686526,
      -0.969319948198827,
      -0.933902241841651,
      1.14428657006147,
      -1.01443349036369,
      0.910682639504169,
      -0.501827924034014,
      1.51861397786949,
      -1.19392825623885,
      0.190007169055481,
      -1.03039522085751,
      -0.383802853929712,
      -0.533270304540781,
      0.975345861535497,
      1.1876454011486,
      -0.745476252150887,
      -1.20753575747771,
      0.121133997375315,
      0.809829898945443,
      1.82068626766543,
      -1.4755480575575,
      -0.766387137655727,
      0.371630757056813,
      1.18076039246926,
      -0.6126219631515,
      -0.0579839951855306,
      -0.0157668624279493,
      -0.110102608255524,
      -0.49016823477919,
      0,
      -3.80354881725172,
      0.0570847908164559,
      -0.439604620627597,
      0.479140465256315,
      1.21937538447412,
      -1.46964342012282,
      1.89595757845969,
      -1.94188161926882,
      0.0415564090031974,
      1.73416890764454,
      0.53350422289948,
      -0.51782242899697,
      0.140425545734481,
      -1.46043402262399,
      1.23464639958969,
      -0.600532094743042,
      0.320938516939546,
      0.500653995454237,
      -1.16826461832444,
      0.774634517021625,
      -0.1948961106982,
      0.341619734404837,
      -1.0243029583716,
      0.188474036923775,
      -1.10569745350487,
      2.11761868846501,
      -1.00368137276393,
      -0.807409305920684,
      0.318988379444002,
      1.07140293470047,
      -0.0547380385378373,
      1.24973857722789,
      -1.92523558262524,
      0.944611584424327,
      0.106708384289955,
      -1.19729199852369,
      1.59656983012664,
      -0.160922375838636,
      -0.763853726459523,
      -0.889006028565671,
      2.36212206654855,
      -1.34239711956639,
      0.168623579861094,
      0.254832637755375,
      -0.721141143803812,
      1.55140677525949,
      -1.30179846854619,
      -0.136624408297175,
      0.564127413101155,
      -0.413700907590119,
      1.16472606399126,
      -1.45686375526183,
      -0.00836386640236566,
      0.817441111361501,
      -0.0171455650661492,
      0.765432536513555,
      -1.58577374186829,
      0.681918659219329,
      -0.143086367828035,
      0.766171514244553,
      -2.61833298453434,
      1.18236172288704,
      0.0476960541808133,
      0.113667684255358,
      -0.901784954330272,
      1.26721035850757,
      -0.173184925291027,
      -0.377378092418694,
      0.149175655300653,
      -0.128306876550763,
      0.17644726692925,
      0.241345606931712,
      0.0287723987668018,
      0.24397113665498,
      -0.31084129052226,
      0.405213476329085,
      0.499996505784572,
      0.164929092419797,
      -1.14077212778009,
      0.364263037004696,
      1.28836269176584,
      0.085194366178052,
      -0.058898402411465,
      -1.19320253237169,
      1.60513362118275,
      0.203883439720789,
      -0.679998038075585,
      0.531131838892012,
      -1.73157191867469,
      0.0189891017403662,
      1.49314738931049,
      0.0940343676779807,
      -1.0166518698551,
      -0.54067481488233,
      0.899987752028058,
      -0.624532039679029,
      1.48001910817453,
      -2.27955697488648,
      0.949597252571038,
      1.08218491156477,
      1.06940031960773,
      -1.01838250322354,
      -1.82843435531577,
      0.342556245500749,
      1.33796252792809,
      1.06675012180004,
      -0.220488501276266,
      -1.77052832597908,
      -0.648258146591078,
      1.46614162354835,
      -0.943953667434996,
      0.87545867417523,
      -1.45950584154942,
      2.60245137391782,
      -1.35553576001983,
      -0.94414504877357,
      0.430741785059715,
      0.276760494838783,
      -0.617239409066171,
      3.09067636486002,
      -3.04010204250733,
      1.39469327289386,
      0.433716236752927,
      -0.989690966792067,
      -0.0680677628152362,
      -0.437903946961074,
      0.990899020269723,
      0.7341853090463,
      -2.84428008604726,
      3.42615086917686,
      -2.33402125857295,
      -0.34862911738369,
      1.02051349764644,
      -1.11298993644978,
      0.8736384912739,
      0.0787612826057481,
      0.910609503865837,
      -1.24347982261365,
      0.699410351474767,
      -0.599171413645781,
      -2.23825549627232,
      0.714135131421347,
      0.767641125765703,
      0.549988719548088,
      0.617505750748196,
      -1.9017846531368,
      -0.287694772062338,
      0.358919152519514,
      0.641479799952297,
      0.817080988904132,
      -1.00164755212576,
      0.462580312761652,
      -0.173901276574746,
      1.54038339200012,
      -0.958738940420064,
      0.973033723290002,
      -1.18738450125903,
      -1.1764675617369,
      0.794354822040676,
      0.743505431961833,
      -0.574458388550089,
      0.570280149213461,
      -1.35598485971925,
      0.97632311553394,
      -0.214652090181677,
      -0.730184235096144,
      2.05122194150052,
      -0.362661581428412,
      -0.594880018720488,
      1.34670401843555,
      -0.252565821913926,
      -0.267472056192205,
      -1.990618511433,
      0.680681670673782,
      0.211075099197419,
      0.95158262480131,
      0.0210652975880965,
      -0.510405218855062,
      0.691674934026067,
      -1.36993458151079,
      0.343543825773846,
      -0.646349577472999,
      -0.983913042723901,
      2.19987039105107,
      -1.27148836803079,
      0.462238603664505,
      1.8386748579427,
      -1.61824535336003,
      1.18004220189559,
      -1.60551942672536,
      0.89628275587656,
      1.33123692873816,
      -1.07189704937329,
      -0.703346015122193,
      -0.252153980530355,
      -0.409443878353654,
      0.0906470609810308,
      -0.523451546809312,
      -0.281977087073018,
      -0.0646755208065408,
      0.623436636840239,
      0.764047364382912,
      -0.466194763104887,
      -0.154338077612197,
      0.0660389474762184,
      -0.145636617255601,
      0.336849803760739,
      -0.956982452169312,
      0.845387924652263,
      -0.50534184334119,
      0.00733972831097099,
      0.35829497334637,
      0.941748923046056,
      -0.81224635199256,
      0.440898781315572,
      0.0793867513078564,
      -0.772825984672608,
      0.653890543294642,
      -1.52048526268717,
      0.726466594038855,
      -0.284475748093749,
      0.147830815369952,
      -0.250514271109853,
      0.552817291309106,
      -0.229541047663963,
      -0.0428591203933686,
      0.103230038158241,
      0.35160235502534,
      -0.385097479705048,
      -0.0868702730127688,
      0.232237298045623,
      0.644964671172401,
      0.537852917855493,
      -0.844232677686861,
      0.512684178113913,
      -1.19922639012525,
      0.550308254615764,
      1.77347550432359,
      -1.15908765941479,
      2.05053696932276,
      -1.70884476514275,
      -0.326085969946634,
      1.61759586332325,
      -1.37081800102348,
      0.467074860062907,
      -0.813391716233441,
      0.905800861317852,
      0.912304104793973,
      -2.27247423000256,
      0.66468341800902,
      -0.566623824766112,
      0.596422779651788,
      0.156916943610534,
      -0.371824842755853,
      0.567114591538457,
      -0.616730960756486,
      1.16008173740927,
      0.881742145148722,
      -1.40052866836742,
      0.38825147021642,
      -0.621448011123218,
      0.636980878685788,
      0.85295052229188,
      -1.76464011652715,
      1.02377686930073,
      -0.891004617426773,
      1.3083312810967,
      -1.29609690202158,
      0.644156052307581,
      -0.640513367182149,
      -0.354453887909009,
      1.43801299587086,
      -0.902781060402753,
      0.149717900947043,
      -2.9123249112369,
      1.02352462869232,
      1.21516619727382,
      -0.242186592201304,
      1.45455292378284,
      -0.248038295195633,
      -1.35546571305263,
      1.99392239000588,
      1.04180646899311,
      -1.51700897655421,
      -0.87887682647147,
      0.0432641502541589,
      1.76744046487628,
      -1.32897251446218,
      0.131975546567493,
      0.839725012061979,
      -1.37764612276794,
      -0.9960048138698,
      2.59548119862874,
      -0.820195463925097,
      -0.216767703827047,
      -0.658566687724957,
      1.2519275558613,
      -2.91385960174658,
      0.0248567904368062,
      0.636928515923736,
      1.53823361706794,
      -0.467278862914656,
      -1.38771582807094,
      -0.126289046926603,
      0.580184475492988,
      1.3631020731389,
      -0.416808834590152,
      -1.59035675913417,
      0.664506396183606,
      0.888953180216929,
      1.21080627630992,
      0.1239934089685,
      -2.38182047743889,
      1.39158352891844,
      -0.272962327260589,
      -0.961780094799885,
      1.14756909224981,
      -1.1695517248964,
      0.239771255176302,
      0.891029364781242,
      -2.13750534675766,
      2.35357232366821,
      -0.204472842806244,
      -0.90755963247744,
      1.21997363232702,
      0.00905998818005461,
      0.232311587922016,
      -0.0612602550012971,
      -0.0283803592837761,
      -0.393533398923523,
      -0.816149051360536,
      0.0573807665903558,
      1.63923859908479,
      -1.10768485588362,
      -0.283329065990833,
      0.559561928942774,
      -0.229481703076364,
      -0.450982276472378,
      0.21112408434934,
      -0.955318708616007,
      1.17724592656891,
      0.134299939435951,
      -0.780012767489729,
      0.222100518440416,
      -0.381460695275748,
      0.853173503486105,
      1.88134855867997,
      -2.23170395038325,
      0.749631155219612,
      -0.0962832344074758,
      -0.818523538505514,
      1.28432214771666,
      -1.22468286962439,
      -0.723901464580771,
      0.118340739659774,
      1.99853511108949,
      -0.98940811293947,
      0.235047867376088,
      -0.891662421051973,
      -1.19397622242514,
      2.45312797584791,
      -0.73280715404517,
      -0.597652006204281,
      0.385750248820437,
      -1.37766761613471,
      1.16641451394135,
      0.283252299695557,
      -0.0326562778495601,
      0.570878951519606,
      -0.848212342089774,
      -0.295653148003407,
      0.322249314545419,
      1.3283868034599,
      -1.478767302808,
      -0.280678413438152,
      -1.30419975952372,
      0.728046407249263,
      0.126977244671938,
      0.255536384527514,
      -0.872498380316357,
      1.4585676107954,
      -0.743004106825446,
      -0.368168332900985,
      0.312459189414755,
      0.170217407209118,
      0.116129273761947,
      -0.080632613890931,
      0.256253935317547,
      0.248518760440667,
      -0.214227667873319,
      0.344286921280639,
      0.445334027813956,
      1.22970886598908,
      -2.38337743267383,
      -0.000353260990700062,
      2.07932646196676,
      -0.491628395058417,
      1.60569462216066,
      -2.24965208948566,
      1.23142857119529,
      0.0789009731220961,
      0.370434434466728,
      -0.443429895717659,
      -1.57980242078293,
      1.89695045591833,
      -0.542227347670508,
      0.0653155672015308,
      0.942720515400968,
      -2.35881392923439,
      0.162559191307801,
      1.89874020069309,
      -0.740511437936374,
      0.0320176239291433,
      -1.33992616415554,
      1.92319995995649,
      1.46943666527514,
      -1.85895121993993,
      -0.392548589656771,
      -1.47293562666619,
      1.09501169990651,
      1.81035432815163,
      -0.310757775246685,
      -0.704403637128317,
      -1.04385279169673,
      1.01302027063448,
      -1.26991430453308,
      2.54195992503382,
      -1.94820562864156,
      0.481562077610126,
      1.09176213695175,
      -2.24524067147328,
      0.206524302391959,
      0.461033841999219,
      -0.795274981703067,
      -0.457539311175277,
      -0.658108740112992,
      0.228225081899358,
      2.28314737427781,
      -0.013159067851585,
      -1.50778294061773,
      0.175502446708056,
      -0.898838067129565,
      2.84089142703648,
      -0.926170243118343,
      -1.00901663875418,
      -0.643587311124133,
      -0.329152723401842,
      2.72837997834512,
      -1.02681807817051,
      0.387522996943983,
      -1.17865840789804,
      1.68696527196982,
      -1.92897906753759,
      0.435509518117765,
      -0.51550532157677,
      -0.500486154160706,
      0.867180319050024,
      -0.13986494079316,
      -0.659213288132905,
      0.233030493508324,
      -0.638904753176601,
      1.18916913432169,
      -0.114047780002084,
      -0.148605510425585,
      -0.409431522847369,
      -0.0414136077522194,
      0.640662481644807,
      2.37139258718828,
      -0.441632142553867,
      -0.0408608613199191,
      -0.00956196026536235,
      -0.0327138687909627,
      -0.415523338119539,
      0
    ],
    "mfcc_delta2_curves": [
      5.91028180032092,
      0.330103083709387,
      0.0502541580652325,
      -0.210018511669133,
      -2.95348525732463,
      5.26826849965794,
      -3.93078190588484,
      1.84409693175912,
      -1.09340224403385,
      5.32435075114228,
      -7.29047611002271,
      3.55193460191388,
      1.41712022739379,
      -2.42720588859957,
      0.609655264416129,
      2.98339545720318,
      -5.13259603005506,
      2.16879895022555,
      -0.896258837075709,
      1.05495951736174,
      -0.665149534736412,
      0.715788379171943,
      -0.237904093088965,
      -0.472119815257831,
      2.40180164801504,
      -4.200137198548,
      3.65339089208131,
      -1.34946176393698,
      0.259041962105484,
      -4.24654888351577,
      5.34785260424438,
      -0.265588275731987,
      -3.87826236847624,
      2.4601152529929,
      -0.656774946750708,
      -0.0985431296955405,
      0.752935049086829,
      -0.999389336136778,
      -0.832638928102902,
      3.49569613550365,
      -0.221439400974063,
      2.5123156073761,
      -4.06175717433933,
      0.645511960930184,
      -2.77927865075026,
      3.15768610599318,
      4.90391936412611,
      -5.8672628365646,
      0.925155271243881,
      -1.6425779286374,
      0.499222077067155,
      7.1195071249801,
      -6.92342002179178,
      1.27871565975782,
      -0.95088491067319,
      -0.937224754983975,
      2.62430289524266,
      -1.9612313130955,
      -0.0810371457336242,
      -0.0915977538741643,
      -1.41638189930144,
      -1.26656707942468,
      3.46590730887952,
      -1.26969088463009,
      1.52294159969518,
      -0.695654420600426,
      -4.56553810329149,
      4.55406627154217,
      -0.258287783113844,
      0.435072545756237,
      0.256655835456966,
      -4.21753040565219,
      3.91805933225751,
      3.71144618025061,
      -3.73915599378594,
      0.794563828480902,
      -3.48480223693732,
      2.54230154328801,
      7.85592101805389,
      -8.27178620886559,
      -3.23511327652737,
      2.88746757592679,
      -1.16741523127789,
      6.97764092580644,
      -3.97912942748685,
      -3.15735784417096,
      1.98135069429914,
      -3.35252751127146,
      3.1712175812306,
      1.1459402996685,
      -3.58133321843712,
      1.04016785447516,
      2.10255052351723,
      -5.91198741815174,
      7.47905157189856,
      -2.58413279220097,
      -0.556700905079163,
      2.42969885994729,
      -8.63878003139929,
      9.32811831419697,
      2.50988162954302,
      -7.36633095301778,
      7.92144347923093,
      -9.12199917406836,
      2.18724723446354,
      5.99917107398194,
      -6.65659550116748,
      4.56882343425103,
      -2.55702209920992,
      3.2787230457463,
      2.07979274562308,
      -5.71729167483109,
      0.732004857803334,
      1.10219296509502,
      -0.694710632660628,
      4.23635851485735,
      -4.36351476050789,
      -1.91082419545204,
      2.47131714404673,
      0.731620667008425,
      -1.42948585467418,
      2.4988504500782,
      -6.9239693340162,
      4.86986001230809,
      0.278073920405972,
      -3.42925178539463,
      7.12150441591838,
      -3.89936664951987,
      -2.10927001077386,
      2.21948266996892,
      -2.71045915682202,
      2.84537446569457,
      -1.0367398071118,
      -1.72969854495405,
      5.06800085765932,
      -4.75181705333025,
      -2.70856385614695,
      11.6375678762165,
      -7.72455523671569,
      2.32692275908384,
      -3.22037622465075,
      0.515740208964234,
      5.05125952290905,
      -6.3396903480601,
      2.55593270392579,
      -0.35114438018222,
      -1.37624697132057,
      6.31859599230425,
      -6.02654913570571,
      3.2759397968331,
      -2.92875837848306,
      -0.296523802708117,
      0.536160415592049,
      0.396860517347443,
      1.72126183551564,
      -1.56862593303061,
      -0.509016717125387,
      -2.02581036648102,
      3.35208270923004,
      -0.791226746885909,
      -1.65217826661137,
      5.02471832848506,
      -8.76467525617236,
      7.73008417715186,
      -1.68768064925362,
      -2.03439807550562,
      5.34224600533158,
      -8.93468385963877,
      3.91322433084092,
      7.01660544794805,
      -5.18666114915381,
      -0.0551449105435304,
      -0.208216073322694,
      -3.12094336894109,
      9.00199076180066,
      -3.62493255843751,
      -6.97176268735256,
      5.49539337690877,
      -2.10046310809564,
      5.90526630129252,
      -4.96924170500996,
      -3.66051712302528,
      4.63809148309013,
      -4.27300925831105,
      2.38084582147713,
      2.04343372222211,
      -3.88274345261041,
      1.91261564275645,
      -0.454481762467093,
      -2.60368993638572,
      6.42434151112233,
      -1.46977303772092,
      -5.37227785496356,
      7.27565659447329,
      -5.73736222962703,
      3.1482035700611,
      2.60954024575521,
      -4.9389187439627,
      5.49330433897349,
      -5.76318837315115,
      -0.208086570062441,
      8.21115951782934,
      -5.87192989291163,
      1.53038356888485,
      -4.34091319301741,
      -1.50537466463607,
      13.0303498342674,
      -8.89928440550458,
      -2.02456659822051,
      -1.52758202315955,
      0.971763991589397,
      8.48383473877607,
      -6.17571398092363,
      -3.1006614567666,
      1.80282973164207,
      0.321012317400885,
      0.124146423354698,
      -0.0268978824695085,
      0.422136618139058,
      0.857564956510146,
      0.318322959353314,
      -4.74967540158928,
      4.52766634907543,
      -0.375296884119084,
      -0.0812531011199,
      2.28963039500924,
      -5.70782012939579,
      3.517624941627,
      1.35049187310002,
      -1.35532593343162,
      3.63582690137011,
      -6.96238643158663,
      3.81376558433487,
      5.9284463701536,
      -7.47113140635209,
      4.03570848847221,
      -3.79515932435719,
      -0.196419905172117,
      6.50485906287693,
      -6.02917807471464,
      -1.71274393856729,
      1.49022608606511,
      0.0317666026836285,
      3.35551563876597,
      -3.05457793673489,
      -2.2086941276132,
      2.1443864319778,
      1.96115341715993,
      -2.96454519711479,
      4.75358130722078,
      -2.79250748438439,
      -1.3838204916209,
      2.53729596310666,
      -5.16956535195226,
      7.39011640537409,
      -6.0338205769394,
      -1.09055800776622,
      9.56537480644797,
      -8.38197259503445,
      3.70954748201416,
      -0.619054121573368,
      -3.32752163979147,
      8.63438398541668,
      -6.84257558841033,
      -0.501601963105892,
      6.68463016050709,
      -9.33058061501861,
      2.29878002363758,
      -0.207622494300957,
      1.36159299248002,
      6.08299436607283,
      -1.16621712617862,
      -6.34322873432856,
      0.977579109058044,
      0.22120688672366,
      4.01195021878225,
      -3.0280056176088,
      -2.3173795848619,
      4.12532473301168,
      -2.60836901709659,
      -2.42096796580328,
      7.16370992719224,
      -8.01846812076037,
      5.93760370732575,
      0.0523932235295761,
      -6.65212690474886,
      4.33360948651401,
      0.930514172053204,
      -1.82264184993499,
      3.18143243328605,
      -6.69761344769337,
      6.31049635632995,
      0.709360399600731,
      -3.74591447052963,
      4.86574095770689,
      -6.90424042748314,
      5.22781507552752,
      3.37636749618372,
      -5.24373840105737,
      -0.0127183539285829,
      -0.0487912237007782,
      2.64170471641827,
      3.1622558383978,
      -4.85015901226287,
      -2.75154827944283,
      0.648549618691777,
      2.06195705773508,
      1.65173248677756,
      -2.53944715694786,
      -2.84189929151044,
      2.21921879637295,
      -0.185196772861976,
      -2.04736823363269,
      3.8303111524007,
      -1.3051072289228,
      -0.0652458161350991,
      0.974128602103904,
      -3.71087880207803,
      5.65861782845043,
      -5.29262394994453,
      2.50727385568515,
      3.41263909831897,
      -5.02840890512637,
      0.787945878486642,
      7.45153232687731,
      -10.2588978865981,
      7.77684354074856,
      -5.05335340946777,
      -2.10914421856353,
      10.0346410650654,
      -3.93536842534963,
      -4.82171243514087,
      0.313811821657617,
      -1.03805503907241,
      9.39042042016954,
      -7.09793089756936,
      -3.01190208761209,
      3.10168896465125,
      -1.12754613305214,
      3.69623891366976,
      -3.31848067594999,
      -0.753602470258311,
      2.15560754218133,
      -0.0307861847421762,
      -4.99922322843708,
      8.01321251770761,
      -3.07077198183331,
      -3.3467957629987,
      4.51409264171941,
      -7.7752127555633,
      6.5003754704719,
      -0.109316745127059,
      -2.9983452639486,
      5.1566765233035,
      -4.95613114950118,
      4.68488164212095,
      -0.181838677190601,
      -1.95007413367797,
      -0.326645727245528,
      -1.1601403494542,
      2.06050857088901,
      4.10258200507348,
      -4.80786268158827,
      -0.148276798185506,
      0.499211077563308,
      -0.629137330879709,
      5.87255787617262,
      -5.52921121112854,
      1.04765410321275,
      -0.280305154358306,
      -0.777439768385568,
      1.78134631041219,
      -2.30624587626363,
      0.705536247405048,
      -0.59047964428053,
      0.0194096067706495,
      -2.36805580349481,
      3.50174153591285,
      -1.18204295805024,
      1.47251104501317,
      -0.711704032908954,
      -4.55053217869014,
      4.4961988346158,
      -0.17778814542792,
      0.458777138110814,
      0.22169880479886,
      -4.17577198200491,
      3.80948392454748,
      3.73417616386217,
      -3.75398219150196,
      0.938351525914851,
      -3.71945752925314,
      2.60068836737498,
      8.03086464307433,
      -8.37008509906237,
      0.358426368122649,
      -1.31209041656975,
      -1.40099644165248,
      8.76063678705116,
      -6.88261795052312,
      -3.26115446639298,
      4.35836186913421,
      -1.62007830562192,
      3.08236533347774,
      2.37777499175694,
      -6.89843597220367,
      2.72419533615761,
      1.8666208159341,
      -7.53631036749971,
      8.52898296969081,
      -3.98068603101695,
      -2.37102892252738,
      5.22138426660855,
      -7.51756184219923,
      7.93871594729112,
      -0.763839283881012,
      -4.69070934522798,
      9.45267504476384,
      -11.4629500763461,
      3.81533303322565,
      5.65326710715738,
      -5.92691133568238,
      3.13614888756912,
      -2.98643812715201,
      -0.34446752510912,
      7.28631131606357,
      -6.83071134018623,
      -0.939554815570619,
      1.81914276832349,
      2.74403465281662,
      5.39696050463189,
      -7.6475380043155,
      -2.48206696837975,
      3.32084948385762,
      -1.00870890179201,
      0.966019912712676,
      -1.19671498141806,
      1.19449942804201,
      -0.909506770345822,
      -0.232877223691408,
      -4.82866099510837,
      5.22558147284122,
      -1.15183914820566,
      1.30514248902317,
      -0.428365409482488,
      -6.42373300284152,
      6.88725282635709,
      -0.61897354592737,
      0.556715315200203,
      -0.0796093876250051,
      -5.33589540478969,
      7.04810329515835,
      3.23535413826334,
      -5.28566470223397,
      0.08675203341076,
      -1.68540059682411,
      2.16419025908924,
      9.57935375412301,
      -10.5297334318326,
      0.708691153567017,
      -0.755654914447965,
      0.339488694125033,
      7.95064832011915,
      -7.50170274121952,
      -0.124051526963887,
      -0.207970682286473,
      0.146456961551723,
      1.11805336159756,
      -0.325035280388178,
      -0.513576352326956,
      0.0423287547458779,
      -0.0370499669318348,
      0.0546536832788846,
      -1.15549990680196e-13,
      1.51433819733055,
      0.371104396338773,
      -0.0408062605412261,
      -0.466124534265585,
      0.568269381445214,
      -1.7661035152214,
      1.60376079595751,
      -0.12900074513175,
      0.183670370228645,
      0.634983813738936,
      -0.417750616710837,
      -0.363736303075492,
      0.939637647610631,
      -0.878515592618084,
      -0.316793454308924,
      1.07133860003193,
      -0.395332710796015,
      -0.529731727552726,
      -0.00742844854409451,
      -0.116524485742117,
      -0.237371400009599,
      0.495886469541042,
      0.286606901834368,
      0.630949118401165,
      -0.888599858048072,
      1.89637724783587,
      -2.66615490474929,
      0.889928025323323,
      -0.0690137784851738,
      0.0353862041101619,
      -0.185287197027128,
      -0.275295284601725,
      0.732010674964496,
      -0.492000086944075,
      0.195207923878517,
      0.291549417555817,
      -0.320988346202515,
      -1.16993081081968,
      1.24134878611649,
      0.315072098385576,
      -0.452986455307335,
      0.734984619410528,
      -0.621851060401611,
      0.185606978880658,
      -0.819698815973502,
      0.50795745651912,
      0.663110489245182,
      -0.639628742784688,
      -0.00363389927010468,
      -0.513574173328916,
      0.484316414263475,
      0.41218238824418,
      -0.223239628724596,
      -0.0823576538751665,
      -0.645666324350046,
      0.246169144128209,
      0.428096275509004,
      0.310175937623066,
      -0.204966610449752,
      -0.810878746616707,
      0.47717923051077,
      0.540617556016124,
      0.108990081182984,
      -0.445613741398122,
      0.315465918088905,
      -0.555367333255728,
      0.292085327166991,
      0.604150742663259,
      -0.549963840281448,
      0.0506926596783476,
      -0.55574039291839,
      -0.197874058922177,
      0.970737351555225,
      0.637640597128263,
      -1.07596376739881,
      0.15604712383128,
      -0.580995580502621,
      0.457717574025565,
      0.933601664682754,
      -0.892891187741485,
      1.59016126892189,
      -1.80830490474496,
      0.28428589569999,
      -0.341203120813445,
      1.07117214348065,
      -0.428226835690477,
      -1.23209218355208,
      1.23125466910817,
      0.0579110468302493,
      -2.30380027691795,
      2.8791451502394,
      -0.287825241175257,
      -1.33472157740238,
      1.20920659231652,
      -3.07715510449693,
      3.57669181651654,
      -0.285624590006792,
      -1.81816565383763,
      1.76648700476185,
      -0.95516764088495,
      0.24127219840853,
      1.62727706590022,
      -3.51708920316973,
      0.542360143225507,
      2.7382014878443,
      -1.78621326541119,
      -0.27191159879907,
      -0.409638457778042,
      -1.03563511621118,
      1.40719648730407,
      0.487504850076779,
      -0.340729127074317,
      1.05866422429949,
      -3.24966373786793,
      -0.133590846613998,
      2.01463496240927,
      0.421396705291305,
      1.57126161551578,
      -2.26685576380274,
      1.18695264089653,
      0.217628524260075,
      -3.16729617974683,
      3.52465372876085,
      -1.80412918598008,
      -0.729141669728535,
      2.08500842743305,
      -1.6858329927354,
      -0.219367383698712,
      3.07047763312063,
      -2.09348120665807,
      0.548553725251763,
      -0.727696989677363,
      0.879133869045181,
      1.60965111228207,
      -3.14957305890985,
      1.22119386879809,
      0.446471580944647,
      0.500921369637316,
      -0.157907476233134,
      -1.27345800132318,
      0.314778280330955,
      -0.181739970358565,
      3.20672643246764,
      -1.9481192291462,
      -0.180617421319613,
      -0.895801550581731,
      0.0290215255158682,
      0.750611842250854,
      0.307366515226049,
      -0.489197459912165,
      -0.420259724817496,
      0.0655273708681782,
      0.344344040413752,
      0.0118906628422104,
      0.591398137756963,
      -1.42846999190906,
      0.909703667409897,
      0.544818810837919,
      -1.55860319261421,
      1.08392390426005,
      0.125202828255826,
      -1.79295025607426,
      2.1435600735254,
      0.216071765766712,
      -1.1855425899976,
      0.90365472755829,
      -1.97730541436604,
      2.04478085939187,
      0.316648236608678,
      -1.60007685177533,
      1.17847445926567,
      -1.26330834717908,
      0.435943203676737,
      1.39669831779369,
      -1.8903500765553,
      1.69500214161813,
      -0.262038724652662,
      -2.17803537632115,
      2.40371609095153,
      -0.958091667380529,
      -1.02240306407359,
      2.26237795888063,
      -3.05648809370305,
      1.71159590614523,
      0.394226322903107,
      -1.14739238422655,
      1.37203841380442,
      -1.06784481156492,
      0.221153412385992,
      -0.314971186393115,
      -0.42908073196236,
      1.41364773252436,
      0.213156928131903,
      -1.3287417026032,
      0.573165225460894,
      0.65709779128393,
      -0.234917484060809,
      0.5555844606479,
      -1.69420569038953,
      0.297194199226323,
      0.439315854711665,
      0.804427035092761,
      -0.638665811708668,
      -0.52159359868771,
      0.195387433637538,
      0.486273675893929,
      0.311343537208848,
      -0.332076265233906,
      -0.0343792311506581,
      -0.012442069641792,
      0.0592695509108946,
      0.0517265626512646,
      0.60731461941616,
      -0.405212378478907,
      -0.278004603966287,
      0.355948905061666,
      -0.109287268060247,
      0.459115474685818,
      -0.768395760967594,
      -0.0523991970886188,
      0.00452682874667002,
      0.172996042612022,
      0.362806934704502,
      -0.960863904780509,
      0.472102275693347,
      -0.312555178586983,
      0.336013547219661,
      0.59528954372937,
      -0.276798501580071,
      -0.72735068889737,
      -0.0105777831403614,
      -0.20274134357505,
      0.820130111592751,
      0.0166852632850479,
      -0.252876224972716,
      -0.464213512724576,
      0.575367366084778,
      1.08858621661603,
      -1.53641687683492,
      -0.0855765036384286,
      1.81463611874288,
      -1.01454829306453,
      -0.619087361299111,
      0.0703719607291797,
      -0.193768529354415,
      1.81611326468609,
      -2.27266712660393,
      1.53593743147896,
      -0.685185709915691,
      -1.27847933724791,
      2.45989686778128,
      -0.797609226671257,
      -0.377034605393569,
      0.0975279758936511,
      -1.26207884295172,
      0.531276895336429,
      3.17020968582591,
      -3.46248525138898,
      0.110272615324302,
      2.79632076295459,
      -2.71751255146161,
      2.76356256125434,
      -3.16239315623904,
      1.64791083055585,
      0.410298894706152,
      -1.77612983579273,
      0.184552891549176,
      -0.320365820159341,
      0.972559891521491,
      0.699052245733146,
      -0.511129440324011,
      1.3329075298127,
      0.512165959074197,
      -3.09630975173531,
      1.31297015612126,
      -0.534283695020731,
      -0.0331423410881185,
      2.37833828713553,
      -2.4927076551586,
      1.21615495689324,
      -0.447781804592694,
      -1.80664568822489,
      1.56947020185697,
      0.731230140170182,
      -1.32294283802913,
      1.26054498021602,
      -1.76890977846764,
      0.965417507602576,
      0.813093826539757,
      -2.30098213769496,
      1.75830813125826,
      1.17691329471585,
      -1.78119961636561,
      0.980485942671336,
      -0.960562858940957,
      0.415948949220659,
      0.221274579549264,
      -0.0520183698829124,
      -0.30542086504152,
      0.249786883238224,
      -0.831653765982361,
      0.091235860061346,
      0.12487821769668,
      0.627926374092829,
      0.0873522251329301,
      -0.547737743181991,
      0.144834145143195,
      -0.2350165098464,
      0.440308618943575,
      0.423433730420659,
      -0.844289999740501,
      0.0640730298158638,
      0.62953085445489,
      -1.32703651692067,
      1.24152381196426,
      -0.491419571332674,
      -0.983284091890665,
      1.13723018369883,
      -0.721707537160835,
      1.07782241338629,
      -0.315015035094603,
      -1.92422017393446,
      1.08464200700997,
      1.11214789266935,
      0.382455170874638,
      0.403895873664708,
      -2.22584104127968,
      1.20461315801098,
      1.03569402270719,
      -0.926539221840101,
      0.364939226166692,
      -0.0921139401537244,
      -0.841781004600288,
      0.965841993803303,
      -0.80156498125011,
      -0.291222058401153,
      2.09902753276731,
      -1.8301564743856,
      1.03647980601763,
      -0.747140258743711,
      1.20662712268361,
      -0.410277531663879,
      -1.05468527288743,
      0.158705813392583,
      0.596946773023947,
      -1.05217347846826,
      0.722724056522133,
      0.68390110631137,
      -1.79696074407161,
      1.47329287365254,
      -0.788442286254795,
      0.242457686009022,
      0.353937100265703,
      -1.94003287444668,
      1.71589779259432,
      -1.08362216773882,
      1.11595244108548,
      -0.596071826138188,
      0.406277239995199,
      -0.409165639713296,
      0.458673387731959,
      0.390390261303756,
      -0.344078695900475,
      -0.126293661716864,
      -0.251531977781462,
      0.0361033959292043,
      0.788098472016735,
      -0.436581094367026,
      -0.09089987777879,
      -0.32572529851784,
      0.12217004744852,
      0.108502797725306,
      0.239959311077231,
      -0.434058948852341,
      -0.113537188243648,
      -0.154217266977766,
      0.88232603735672,
      0.184174054531125,
      -0.528534046569067,
      0.316745034874494,
      -0.535005143417518,
      0.299451980645679,
      0.547924779579976,
      -0.507171349956395,
      0.0882442000370725,
      -0.51755700855601,
      -0.214532241800586,
      0.890108722300138,
      0.647410265830902,
      -1.13104881535652,
      0.391604214112599,
      -0.698987676175259,
      0.352259304038986,
      1.04210638851191,
      -0.961755006249658,
      1.97370032248413,
      -1.84070022288827,
      0.64012782264194,
      -1.6557662009002,
      0.538027048637887,
      2.26715309755405,
      -2.70810705535052,
      0.820560921671835,
      0.106171244205046,
      -0.700956661385779,
      1.38965627809298,
      -1.35286739262185,
      1.06788412584829,
      0.114774418449402,
      -1.92484001586946,
      1.84504335370985,
      0.425709257742889,
      -1.80484532594245,
      0.707286323086412,
      -0.0435781050433108,
      -0.680676878831951,
      1.28343264687618,
      -1.47913395634401,
      1.01963787055369,
      1.3110076568058,
      -1.86862088387311,
      -0.667837020764755,
      0.388306553049484,
      0.651223296724177,
      1.00296840116522,
      0.0184102422161365,
      -1.76660665633073,
      1.89594049356322,
      -1.87457118646678,
      2.43271894214349,
      -1.41499417912078,
      0.284015688283847,
      0.617719435448262,
      -2.11234753644389,
      0.662583621623978,
      0.413917072151034,
      -0.16699168321786,
      0.281842914907624,
      -0.49937783746408,
      -0.272720909655179,
      0.618166331100677,
      0.0229699334826473,
      -0.091624934128641,
      0.197747193385621,
      -0.572885213144366,
      0.191043425687297,
      0.131084790554385,
      0.0662056715441226,
      -0.0464210307219174,
      -0.120849112824929,
      -0.325187744704909,
      0.79721881348307,
      0.800038400168118,
      -1.20583354131203,
      -0.177662144726514,
      -0.103406821781906,
      0.371954807962954,
      0.888774721216168,
      -1.04425692879576,
      0.23658631389956,
      -0.332973880063204,
      0.696238505421495,
      0.148783293970236,
      -0.438595725869937,
      -0.220121775571749,
      0.0289306781373379,
      0.230709922923505,
      0.476967987316651,
      0.0111237253081073,
      -0.633253636624995,
      0.0578453572928263,
      -0.0521844701014194,
      0.0766685787500847,
      0,
      0.333302795315507,
      -0.62074336283446,
      0.411057595153059,
      0.22452733599898,
      0.207307555828411,
      -1.52302332117111,
      1.17265524852939,
      -0.135412830328411,
      0.632483758775458,
      -0.480192925432353,
      0.662918893701934,
      -1.13238274676263,
      0.109815851344127,
      0.908656650494492,
      -0.35901186394192,
      -1.04045072051167,
      1.25466043137212,
      -0.863140396407237,
      0.687386018126351,
      -0.0986409932868273,
      0.0276759898899558,
      -0.330227881082647,
      0.160497609793471,
      0.62441487263411,
      -0.674027792415916,
      1.08369619249541,
      -1.96586878823345,
      0.810870000014239,
      -0.00869754999518935,
      0.153498083709794,
      -0.34532646367332,
      0.0867699709263295,
      -0.0285669736559658,
      0.218612435169635,
      0.0115934530801996,
      0.197477240607591,
      0.141639003511022,
      0.099385425681654,
      0.249389613423398,
      -1.31810500876483,
      0.545144682641671,
      -0.459061913985155,
      0.256831352356061,
      0.105152499742507,
      0.368398918067432,
      -0.0656708856998086,
      -0.606411706714912,
      0.596874489381824,
      -0.415711756616338,
      -0.00992000410576608,
      0.619356552165419,
      -0.954464116131408,
      0.63618252655706,
      -0.532655925577425,
      -0.133281739776921,
      0.875775399431047,
      -0.374509214150177,
      0.287310187061726,
      -0.109189248242692,
      -0.184008805270806,
      0.178541820119098,
      0.391341385482647,
      -0.123939653408993,
      -0.292661647952502,
      0.459700074442984,
      -1.24014130936561,
      1.19331991691644,
      0.105917476003704,
      -0.639139099235416,
      -0.2104521039474,
      -0.0430546525995092,
      0.821232162768215,
      0.135360005592435,
      -1.11388027023167,
      0.174876138572796,
      0.0677679945766637,
      0.533974321941404,
      -0.281312549306412,
      -0.463408404971938,
      0.606458032298265,
      0.595928560596043,
      1.07369200566193,
      -0.746372951754695,
      -0.690266342728267,
      -0.188926904101284,
      1.23433686030825,
      0.169661964461349,
      -1.14492399249458,
      -0.129085045260802,
      0.0384670437140874,
      0.782726035867345,
      -0.393219571166879,
      -0.789946926232019,
      0.972607869255246,
      -1.29594790865601,
      0.877874889959456,
      -0.392568275658087,
      -1.09084412935596,
      2.00370113468591,
      -0.689237122798226,
      -0.849385761341032,
      0.314221758227351,
      -1.42817230206551,
      2.1542966992816,
      0.111337158568638,
      -1.90434014911971,
      1.57988625891071,
      -1.68466368978433,
      1.23057024852513,
      -1.27021892598556,
      0.532178518449038,
      0.774954895981647,
      1.12184103141202,
      -1.80239222572811,
      1.40185048211896,
      -0.995910875389887,
      0.423848815766096,
      0.866184194084538,
      -0.7696775318783,
      -0.575863949621919,
      0.637070277392078,
      -0.669030751386867,
      2.12622768737276,
      -1.83179791091609,
      -0.744328002818992,
      1.0238535239315,
      -0.991685756940863,
      1.46677271405357,
      0.106058593741914,
      -1.12591809771099,
      -0.325376569776624,
      -0.465527089347087,
      1.23654394195995,
      0.263939696380846,
      -2.29547169643753,
      1.59716034686218,
      0.477390490043023,
      -0.575519032522349,
      0.409902334019411,
      -0.25616327408451,
      0.199241180456682,
      -0.016590740865708,
      1.13964171167249,
      -0.259581061954211,
      -0.799837885416216,
      -0.0284519697172284,
      0.0461018459377897,
      0.0355060070070296,
      0.0909134286772563,
      -0.537713975897387,
      0.529245476681038,
      0.181460712004389,
      0.16160240114631,
      -0.051410153886737,
      -0.426440195551861,
      0.585504755158793,
      -0.520237359361636,
      0.425127228161264,
      0.0950655983037414,
      -0.145702300799998,
      -0.41135281944531,
      -1.5168623854847,
      2.65595651537132,
      -1.08997040085744,
      -0.318629989965802,
      0.23775854886234,
      -1.96011667380042,
      3.01473168608834,
      -0.985336560960122,
      -1.23017912176896,
      1.02556094752113,
      -1.06209583900465,
      0.911727874115426,
      0.877546652629911,
      -1.34513114194127,
      0.200838163081054,
      1.53939648108834,
      -1.03051005786933,
      0.869908879240519,
      -1.50590068278786,
      0.648265217918277,
      1.7672789001494,
      -1.77589470381728,
      0.940343497456792,
      -0.463543210285246,
      -0.812428852769013,
      1.8203524578842,
      -1.34013093615,
      0.501806587022363,
      -0.538431333410136,
      -1.00050892311838,
      1.11755303452783,
      0.557806296112045,
      -1.55362187059088,
      0.120181246316261,
      0.0816461843801386,
      0.434794345664993,
      0.509971113422363,
      -2.45193710229366,
      1.88974804411739,
      1.10721368660461,
      -1.12990751957666,
      0.61747412960765,
      -1.19539634099446,
      1.65942974043613,
      1.20093589394377,
      -2.1692145336366,
      0.506398776789794,
      0.81272425498014,
      0.642526170777259,
      -0.318806637069635,
      -1.64806209203937,
      0.582341533123344,
      1.41572410269737,
      -1.11182776885698,
      -0.145925019979314,
      -0.156003313332541,
      0.370086845744816,
      -0.217788218069686,
      -0.442002325005493,
      -0.326810431118792,
      1.14844773970387,
      -0.362088637461284,
      -0.511768563103087,
      0.222551927474001,
      -1.42227174867114,
      1.82131969653432,
      0.0686087055421725,
      -0.840203203950736,
      0.223139252210291,
      -2.17316810969962,
      3.06334979603601,
      -0.578773275317892,
      -1.35138690029422,
      1.198098115626,
      -0.550671065485089,
      0.433228750405495,
      0.231308105539196,
      -0.754018160607138,
      1.25352969155067,
      0.15003748390595,
      -2.11812493443538,
      1.50086158594668,
      -1.12992573276464,
      0.816039116384991,
      0.930123279394404,
      -1.24538152222793,
      0.644541540901433,
      -0.0831903588412257,
      -1.65726742689791,
      2.24586165019996,
      0.0396294615725167,
      -1.14991298379218,
      -0.112749096301065,
      -1.06506113846685,
      2.25106852802449,
      -0.195072857437051,
      -2.07320489801753,
      0.461677029262853,
      2.19883390759592,
      -0.864779109526602,
      0.014854773330082,
      -2.60083135110778,
      2.09962180186069,
      0.950236502471088,
      -0.463163869680425,
      -0.214712565421987,
      0.0893452468163344,
      1.00605229948961,
      -0.190658719476785,
      -0.844597611423904,
      -0.602435069553906,
      1.14135803769213,
      0.200145341695025,
      -1.60260720097298,
      0.64914891541646,
      0.604944968796496,
      1.26233308585445,
      -1.43464079966974,
      -0.0921772192877097,
      -0.0618146914984893,
      0.00623519463585034,
      0.894581149733092,
      -1.13226260326927,
      -0.6518677429892,
      1.01134336803622,
      0.378571695791795,
      -1.46333045632914,
      0.662281025731767,
      -0.855854377314616,
      2.08051358783522,
      -1.30220141899346,
      -0.528743304429312,
      1.00632950921087,
      -2.11297602544622,
      2.73084989887377,
      -0.658093895265948,
      -0.763097981285436,
      0.730410260037347,
      0.107660297074906,
      -0.674830864584348,
      0.02304487332902,
      0.10772579862598,
      0.42563997883686,
      1.00195213998894,
      -1.69664915063869,
      -0.538930186093186,
      0.912782314202699,
      0.0541884196173594,
      1.34418414183047,
      -1.35953784715622,
      -0.253668717103505,
      0.221613062901616,
      -1.08411735622353,
      1.5643177157003,
      -0.437693409821975,
      -0.274110149830146,
      -0.248108690799837,
      -0.806193003116166,
      1.72367830179747,
      -1.1725206551006,
      -1.05918420489883,
      1.03132252828103,
      0.936953736573968,
      -0.315186139543759,
      0.78087064274475,
      -2.59347830128625,
      2.27373247715655,
      0.708288594957541,
      -1.1239186122067,
      -0.845411319318013,
      0.947496666038983,
      1.49592806872185,
      -0.649686122138941,
      -1.160467197973,
      0.515013612236367,
      1.42477688578236,
      -0.0395116381692375,
      -0.292596589932728,
      -1.3445081810716,
      1.14013203273414,
      0.104207025753735,
      -0.878050801325543,
      -0.349456465717939,
      0.912865616509378,
      -0.554831960343654,
      0.196644621077548,
      -0.412956783463605,
      -0.502437517170875,
      1.36407010202698,
      -0.491562181996631,
      -0.258454300803497,
      0.421301579755509,
      -1.74385051749928,
      1.30981074623104,
      -0.398872504677075,
      -0.633399113234094,
      0.47478583632525,
      0.43993774664757,
      0.00557481543012907,
      0.120845599030719,
      -0.755048234753906,
      0.718284923967464,
      -0.0201708296937731,
      -0.149198813758539,
      0.277111391420911,
      -1.11078232650879,
      0.858419841273278,
      -0.225635376497051,
      -0.348480968277352,
      0.559124818968586,
      -0.168047491385136,
      0.0128817008119613,
      -0.131573023889659,
      0.0325913244571405,
      0.0676076112112477,
      0.609268656513599,
      -0.200087131901486,
      -0.242862226630695,
      0.495176688680752,
      -1.24926018783189,
      1.15824597642844,
      0.146467173200359,
      -0.658466027928925,
      -0.13990650561564,
      -0.0461958505328138,
      0.746574659899667,
      0.124354487651798,
      -1.15953078794922,
      0.217405209843326,
      0.152367410715773,
      0.517337904866686,
      -0.323827498614685,
      -0.431156646204421,
      0.542129187582799,
      0.963348506667204,
      0.895509998542593,
      -0.20554219005895,
      -2.24902949628969,
      0.790002860027585,
      1.72823280903925,
      -1.02111849792398,
      -0.700747250750712,
      0.0420941348373479,
      -0.804056512417379,
      2.44356898950647,
      -1.23462219043283,
      -1.08578807462817,
      1.5055554622805,
      -1.02538298022604,
      0.824080204156633,
      -0.669681447286072,
      -0.960808553495231,
      1.7785012893994,
      -1.02599389051227,
      -0.900029949279468,
      0.82782810146731,
      -1.7316809239777,
      2.39981104395288,
      -0.342332780257274,
      -1.08100663387623,
      0.350012917542244,
      -0.177489404296471,
      0.330095494958727,
      0.231917638558001,
      -0.662795896397891,
      0.908781846171814,
      0.546626378569304,
      -0.115023594041976,
      -1.16772309112544,
      0.00341567106995775,
      0.223213692686226,
      1.47545775466369,
      -1.21320127345902,
      0.400253913730294,
      -0.530251140857693,
      0.114653262877326,
      -0.222887864719679,
      0.360632577426517,
      0.110785475488294,
      0.734346509992876,
      -0.995166375330344,
      0.101397496952408,
      0.103192987805196,
      0.0496160664046033,
      1.27727010223821,
      -1.30417823898894,
      -0.0570493205719679,
      0.544061686826446,
      -0.56185107213906,
      1.07180660735101,
      -0.691655913464144,
      -0.419082281885285,
      0.435347849758833,
      -0.454662180770386,
      0.496737867402571,
      -0.399140767973903,
      -1.17630053319552,
      1.34959128913825,
      -0.273278437132373,
      0.182658413606011,
      -0.34280291484305,
      -0.297324035777799,
      0.517743369390659,
      -0.161482051968682,
      -0.00609726623844115,
      -0.0542238905416524,
      0.379071027224273,
      0.127580680714428,
      -0.420102466925438,
      0.0521745022222145,
      -0.0515325958316771,
      0.0748179227374184,
      0,
      0.679319599930928,
      -0.594918480484733,
      0.647765976608288,
      -0.076905915826324,
      0.0802405580972131,
      0.116357360987382,
      0.0026645437185087,
      -0.256907417304579,
      0.0438574288141738,
      0.407053657144707,
      -0.334189324671472,
      -0.41362467701844,
      -0.330453101498219,
      1.20158417117354,
      -0.478747166251074,
      -0.240017446544006,
      -0.166350084481372,
      0.251605063288513,
      0.259488769838282,
      0.0990734617180571,
      -0.397278933303364,
      0.297015062995653,
      -0.302968102311112,
      0.194065375774076,
      0.470913551384947,
      -1.03097677166932,
      0.187475514378158,
      0.251879157865033,
      0.326398389440974,
      -0.499447815944061,
      0.288312396164926,
      0.276964960884325,
      -0.502203238416372,
      0.102134424324437,
      0.0914312704309927,
      0.223474369205175,
      -0.173019927502,
      0.163707130175308,
      -0.730256129006664,
      0.310932674561858,
      0.406742027254304,
      -0.304884339268887,
      0.133994364778437,
      -0.157072999694212,
      0.373840465833945,
      -0.179875428160664,
      -0.376131394336717,
      0.26058423340594,
      -0.183331062268032,
      0.199125364869086,
      -0.00292015241651411,
      -0.303381490268199,
      0.400146750369515,
      -0.227021866445995,
      0.0666848354763968,
      0.111829655192769,
      -0.0936178117712992,
      -0.0765991012868742,
      0.098471655043754,
      0.0318351930306526,
      0.0509963308165473,
      0.0772791527833808,
      -0.267279738560603,
      0.316125467853836,
      -0.178272193374701,
      -0.153166441049612,
      0.394984198053974,
      -0.544434389428775,
      0.317962766782645,
      -0.029417794432062,
      -0.0440547618458019,
      0.237659111893907,
      -0.185631865659161,
      -0.0184817455695938,
      -0.160280344218825,
      0.289093878576514,
      -0.174091887001325,
      -0.049553417782502,
      -0.470072792805681,
      0.599733083978992,
      0.104407893206273,
      0.5394578249768,
      -0.596220001423654,
      0.226495383740107,
      -0.368129756129102,
      0.449848986385034,
      0.545450704633726,
      -1.38467916642999,
      0.485337036519054,
      1.48965311759179,
      -1.39339386591121,
      -0.0839781618551699,
      -0.0152153956708097,
      0.35582831222576,
      0.438950712790975,
      -0.964511563415961,
      -0.40316421874444,
      0.829424447492414,
      -0.0950981023952302,
      0.591087513904374,
      -1.42496864399599,
      -0.980064802195483,
      1.39326688922442,
      0.604373075252649,
      -0.739359532073781,
      -0.0398173580962728,
      0.490088246172716,
      -0.140008327230577,
      -0.113599821542856,
      -0.197191474449662,
      0.250040277817136,
      -0.278228025644221,
      0.513604178012397,
      0.443714758415909,
      -0.109551528565227,
      -0.460472134580302,
      0.0483214541657619,
      -0.195751652351532,
      0.626929269126049,
      -0.84615869356916,
      0.389633437837742,
      0.159081184356817,
      -0.122818932603047,
      0.222518952530531,
      -0.0482600735107612,
      -0.307372742015454,
      0.0465866759947208,
      0.298376892929592,
      -0.894812259511792,
      0.666794287663926,
      0.0571643717784449,
      0.0622269177841002,
      -0.119591953419606,
      -0.876874498469297,
      0.956713484203498,
      0.0275852785581179,
      -0.407633300057935,
      0.301760668493746,
      -0.25005177704218,
      0.220428759026884,
      -0.191772481445233,
      0.210544910481158,
      -0.505593463081981,
      0.225254090623958,
      0.0891801717243397,
      0.0916884451309573,
      0.019379178760222,
      0.203672272977502,
      -0.371302729187014,
      -0.86753445303755,
      0.94938376654854,
      -0.160217034558768,
      0.575292752275277,
      -0.002239699193329,
      -0.824993775208105,
      0.839354325954579,
      -0.300464566242586,
      0.101774485580293,
      1.00850057345544,
      -1.03430945856702,
      -0.428517625186624,
      -0.105805118779402,
      0.968971747448829,
      -0.374464972484039,
      -0.339752537552973,
      -0.330663940245542,
      0.584444718117273,
      0.0877412223945079,
      -0.0132932617541804,
      -0.599821855448934,
      0.109761459261408,
      0.171784184335892,
      -0.217014077453313,
      0.333032208665699,
      -0.362534884892558,
      0.61907186461929,
      0.13110185914318,
      0.19022929672136,
      -0.380738972005613,
      -0.503373540349737,
      0.351835444769054,
      0.190562727210142,
      0.396334351586475,
      -0.68233432006219,
      -0.0505880480119647,
      0.233384627116613,
      0.0965553160385291,
      0.0235269172049124,
      -0.0515843139232717,
      0.0157261340734315,
      -0.181854971144702,
      -0.251912332892862,
      0.191549636296239,
      0.0809983604799232,
      0.279123665833295,
      -0.371594219142338,
      -0.0410448686939081,
      -0.096217204489695,
      0.0524210431903828,
      0.371339860586069,
      0.0118017777058652,
      0.261004087485417,
      -0.474048249232772,
      -0.0146897798187814,
      0.404410217162089,
      -0.17667342779139,
      0.0675477179909591,
      -0.366293026825866,
      0.214106558333043,
      0.144022966425405,
      -0.288367993788484,
      0.301302001113125,
      -0.603548728280196,
      0.643899867791552,
      -0.14513968283557,
      -0.254770880524858,
      0.161482636711709,
      0.0873168007007666,
      -0.0198998685709321,
      0.102925513907889,
      -0.387617517023032,
      0.435539414885051,
      -0.201944617535479,
      0.153282170704319,
      -0.257319821007513,
      -0.0619155224596594,
      0.443508597612334,
      0.124526506423701,
      -0.606444944523731,
      0.135158018436243,
      -0.17755381193557,
      0.256981617189169,
      0.260994348623387,
      -0.652118023894974,
      0.417691736546467,
      0.225851310630226,
      -0.596608845622821,
      -0.607942608280048,
      0.49555876921021,
      0.968098457891283,
      -0.5995442477677,
      0.346561509921043,
      -0.716410595588102,
      0.202477394434143,
      0.28618328166861,
      -0.190612755489328,
      0.872576343304144,
      -1.0945873947932,
      0.355531510875554,
      0.168017183580335,
      -0.530474950096995,
      0.760315567867641,
      -0.906873477225077,
      0.604939551422847,
      -0.0356963968997058,
      0.116433574471186,
      -1.27637257511499,
      0.610105579471201,
      0.678237779749296,
      0.0383949826174437,
      0.313247277320724,
      -1.43232634072621,
      0.376184797269067,
      0.0742241923087247,
      0.484133980273172,
      0.325333746312981,
      -0.0416611615949547,
      -0.250232794154869,
      -0.148322048577592,
      -0.0770002550655452,
      0.57062827382004,
      -1.5151964808495,
      0.438485319645508,
      0.453845528164922,
      -0.336956208059635,
      0.367428619260153,
      0.757899407338967,
      -0.647119510227675,
      -0.0907756048333114,
      0.25059472256923,
      0.000151996329402347,
      1.55191299243219,
      -1.16745358083345,
      -1.4590216128066,
      0.787567837636079,
      0.279109940884926,
      1.21612905980662,
      -1.55435054332882,
      -0.505184612599956,
      1.12740141440972,
      -0.205510782547185,
      -0.966913294951074,
      0.673568606535347,
      -0.109581412406974,
      0.0344864924858409,
      0.410626239021696,
      0.126022339092468,
      0.245334071853192,
      -0.877300457213988,
      0.893637615505661,
      -0.613878830888458,
      -0.386881447652528,
      0.922207470103581,
      -0.420420439128149,
      -0.0684777230168321,
      -0.168433073274751,
      -0.36300339751182,
      0.567976478404831,
      -0.164044299687071,
      0.0583429896709987,
      -0.189819914498588,
      -0.325725226956196,
      0.322907044740427,
      0.610849465324397,
      -0.572040444638598,
      0.108861248735791,
      0.251548311981904,
      0.109603368723619,
      -0.538092204024339,
      0.287721657493918,
      -0.644707765794782,
      0.506971086751083,
      0.147553369055219,
      -0.0679226160330071,
      0.514059770835911,
      -0.662625648022493,
      -0.366249990177007,
      0.352610271909525,
      0.697198398354906,
      -0.289942578938887,
      -0.60584122343663,
      0.0100014592667006,
      0.684701226742236,
      -0.0884065182935896,
      0.0147861442178242,
      -0.458162325214118,
      0.529802815782113,
      0.520183719426286,
      -0.676001950677964,
      -0.189342869011074,
      0.0742463199901083,
      0.0660938163995309,
      0.149712121652186,
      -0.0798266624716355,
      -0.00884448621959496,
      0.828203829460499,
      -0.709721025288357,
      -0.702574216320389,
      0.312095854853448,
      0.524159998096451,
      0.145943104408096,
      -0.588145556987676,
      -0.394254136331315,
      0.126357918697361,
      0.387804869941845,
      -0.083029138128179,
      -0.665293512410491,
      0.581600455593362,
      -0.00803222656132437,
      0.189477917438441,
      -0.0623813170574396,
      -0.398331951593749,
      0.476687722395325,
      -0.151465353855555,
      -0.0425290118742756,
      0.0640553827418826,
      -0.305283412921811,
      0.38603660541352,
      -0.221199084173425,
      0.179085156497827,
      0.0509891443196931,
      -0.240369982780845,
      -0.101893423609241,
      -0.0239541763679578,
      0.229707664275665,
      -0.0381530333603904,
      0.196434243105608,
      -0.225761432868405,
      0.251491783607886,
      -0.165866673859465,
      -0.00962684029774478,
      0.258795095217989,
      -0.534295319859953,
      0.314287080952911,
      -0.0285685231760212,
      -0.0415289713477219,
      0.272404127268866,
      -0.187259227236926,
      -0.0610835548449982,
      -0.189424383478041,
      0.401495276495399,
      -0.253292223125748,
      0.025835123433319,
      -0.614965058722997,
      0.683656275978509,
      0.094741271761052,
      0.347898591816637,
      -0.0411710548591543,
      0.0639604457858659,
      -0.414864080882689,
      0.437794063044395,
      0.067659684144783,
      -0.728601061419516,
      0.251894357608371,
      0.110642516908404,
      0.237826647908431,
      0.161352765743621,
      -0.973240499120759,
      0.894610931692324,
      -0.00641783132121426,
      -0.379965735539224,
      -0.940928298594667,
      0.20963269852146,
      1.47967443811236,
      -0.427456364525334,
      -0.430009071865142,
      -0.494358549851426,
      0.418992941232878,
      0.32373191349442,
      -0.532719832984213,
      -0.166192138020322,
      -0.201121426886851,
      0.642848712256137,
      -0.377945097448517,
      0.0110514054958801,
      0.259095655981429,
      0.053150946365699,
      0.252736005012239,
      -0.405473338119453,
      -0.773956910908678,
      0.746402603720354,
      -0.161267014601478,
      0.556579283795141,
      0.0804013522672523,
      -0.43070486946844,
      0.103099520548686,
      -0.0253883309436405,
      0.054959796305165,
      -0.274842485228848,
      0.249477396572181,
      0.214195979846118,
      -0.246399458199663,
      0.0278305720439789,
      0.095308330705916,
      0.0732310484529653,
      0.474079397100872,
      -0.486947635575087,
      -0.299459833957911,
      0.0788971552503863,
      0.157796548587813,
      0.200773742437176,
      0.127330037738522,
      0.0270488590176659,
      -0.437747000600449,
      0.216817229450438,
      -0.150828737104436,
      0.20109765843414,
      -0.22328971491144,
      -0.554740463733649,
      0.456563139417886,
      0.0622101572480352,
      0.0799490912002841,
      -0.145789877321648,
      -0.0236949660031192,
      0.126819923655092,
      -0.00957476720603509,
      -0.105264236594458,
      0.643884176728173,
      -0.361046098518477,
      -0.216665567478497,
      0.0438898111407935,
      -0.0503981163921693,
      0.0717977848835956,
      0,
      -0.31058066895925,
      -0.208639599777978,
      0.210854728749662,
      -0.233901292806116,
      1.23356028241808,
      -1.05457619189137,
      0.464680113968825,
      -0.396669863954883,
      -0.06385835787187,
      -0.325447685260578,
      0.903950816923729,
      -0.930718695589602,
      0.501579827491171,
      -0.205310393407859,
      -0.273668893044055,
      -0.402137380449076,
      0.964258938967816,
      0.304744764817762,
      -0.0377643518082225,
      -0.320906898767859,
      -0.182800918355086,
      -0.0493922866296872,
      -0.0892902215932746,
      0.144807759507596,
      -0.315101678052485,
      -0.460170296407441,
      0.549090745977347,
      0.0739215584299959,
      0.283715782244317,
      0.262901187425467,
      -0.515911827720389,
      -0.0112221235008429,
      0.281676988137886,
      0.093314406471727,
      0.0205375365766922,
      0.202151809682439,
      -0.435099939716278,
      0.0795551547010223,
      0.111885728709522,
      -0.37742725587326,
      -0.139438454662752,
      -0.504681725439088,
      1.12424521663454,
      -0.901422449250124,
      0.861072170180912,
      -0.529182458285991,
      -0.776150324865578,
      1.05478861677229,
      -0.168442878977779,
      0.454002190549454,
      -0.382086927825832,
      -0.771708697839926,
      0.956174617551921,
      -0.434200103880534,
      0.947471876264672,
      -0.702509686239056,
      -0.126354789408429,
      0.182855797096882,
      0.109367795567437,
      0.0916090401438578,
      0.332944981718179,
      -0.220232396631244,
      -0.681423929980648,
      0.801294988688521,
      -0.859936457420279,
      0.79333507222431,
      0.328853360568031,
      -1.39737413054907,
      0.801055577062689,
      -0.248919069808453,
      0.296901386303666,
      0.732539551746351,
      -1.20058356029595,
      -0.204215168934983,
      0.931017088563835,
      -0.516073335366125,
      0.617263421210569,
      -0.697907332454447,
      -0.853224658006919,
      1.0685693532607,
      0.0561339684562814,
      0.338657229303632,
      -0.302114751768683,
      -0.103482093796458,
      -0.468927909940187,
      0.803029364787726,
      -0.0212167361694587,
      0.0234586700836698,
      -0.215051551206742,
      0.340244779372861,
      0.367570501245288,
      -1.05485915547336,
      0.221437934911367,
      0.884220582570256,
      -1.16729729289884,
      -0.0942316146714682,
      0.684411822020034,
      -0.496282310631136,
      1.07260407243388,
      -0.654056758770865,
      -1.36780478872398,
      1.48342844517136,
      -1.23496025638851,
      1.68267191826477,
      -0.601023232042882,
      -0.695937673319772,
      0.539704969429151,
      -0.361956015672833,
      0.518168543519931,
      -0.203828405465574,
      -0.179858030912632,
      0.0969207379762007,
      -0.18779007884331,
      0.426732441052138,
      0.0266707563478076,
      -0.337014685577786,
      -0.165825707544283,
      0.504731323806847,
      -0.314877811553615,
      -0.152526812471383,
      0.159852716983582,
      -0.186180767212532,
      0.894093844176087,
      -0.579787162801675,
      -0.580880486636362,
      0.727182571654938,
      -0.640203180537808,
      0.743163815834062,
      -0.0495240190220461,
      0.303309319680012,
      -0.460345566841385,
      -0.0201686182533404,
      0.272864518001992,
      0.165787725077793,
      -0.0712372858144285,
      -0.131194026345329,
      -0.0307356792298659,
      -0.867644734952754,
      0.529890479406377,
      0.34157714897448,
      -0.191383408851338,
      0.273547999309569,
      -1.09121285425377,
      0.495238661143893,
      0.419797953857422,
      -0.2531006424091,
      0.0553358906195336,
      0.0948160172853596,
      0.520028121820588,
      -1.14376696456226,
      0.913992792021624,
      -0.162624867340845,
      0.156481606777086,
      -0.0873047988540275,
      -0.923603006213062,
      0.41654242446224,
      0.675292699713094,
      -0.00751188541682399,
      -0.134964933943779,
      -0.441753586744439,
      0.281860952975169,
      -0.519679924486529,
      1.44531156292659,
      -1.00314840659625,
      -0.237199590603916,
      0.161295784557067,
      -0.297895297666888,
      0.962478820078493,
      -0.176376145612049,
      -1.41910589764343,
      0.622428143584001,
      0.410394056177201,
      -0.626694135457629,
      1.12350047990595,
      -0.625505946709217,
      -0.573502818243495,
      1.1188894579131,
      -0.683158964592484,
      0.146301982989192,
      -0.535861399647709,
      0.432927165923379,
      0.154332788093922,
      -0.198830193825635,
      0.429527719782784,
      -0.145507347848599,
      -0.0932682005244613,
      0.108728179654386,
      0.157870868727687,
      -0.147650585844634,
      0.577492829054648,
      -0.770232185424561,
      -0.224863285377956,
      1.11296638117747,
      -1.40657348968382,
      0.952037347397697,
      -0.490621165741088,
      -0.575464927385436,
      1.24851926784705,
      -1.19816877142951,
      1.10390767160888,
      -0.215531312892141,
      -0.353765953862797,
      0.242862748552915,
      -0.328266135510468,
      0.744534669053666,
      -0.158767571729067,
      -1.13516822857318,
      0.632342694030496,
      0.205748474513264,
      0.392497551695547,
      -0.161712417656627,
      -0.368969210872052,
      -0.164620345311107,
      0.78031210145113,
      0.07859912217152,
      -0.812147749373187,
      0.406869007033522,
      -0.273177536224249,
      0.0815127391404282,
      -0.126790272687375,
      0.0571329445341629,
      0.677659486918284,
      -0.737976984608658,
      0.150512699079739,
      0.0723551686789754,
      -0.360518151456481,
      0.749844627667752,
      -0.538622269981478,
      -0.156903457089835,
      0.315902634674469,
      -0.315741098652057,
      0.570461409736594,
      -0.00742340374326193,
      -1.28014015447719,
      1.11672459982315,
      -0.210512180547421,
      0.0910856055165755,
      -0.00997721211910518,
      -0.845978954960093,
      0.32814418455961,
      0.623527931955121,
      0.112651305641967,
      -0.254258814285336,
      0.263659857631007,
      0.0806327030786967,
      -0.246289507378259,
      -0.257255660307877,
      -0.881564829838035,
      1.30765398009064,
      -0.231166642367793,
      -0.0189789042326602,
      -0.240794503797247,
      -0.361697318232309,
      1.03995348376477,
      -1.13789155915015,
      1.43070109496604,
      -0.822410996988169,
      -1.03557682877219,
      1.43525688559146,
      -0.56983047910801,
      0.480353211046704,
      -0.212765229932985,
      -0.853356040995894,
      1.28512826185992,
      -0.640253243709776,
      -0.272589576764615,
      0.753491166939269,
      0.379986189997745,
      -0.405253406097793,
      -0.74897050018057,
      0.442152314082247,
      0.273100018323685,
      -0.162498587096672,
      -0.490426631913771,
      -0.019737434823469,
      0.285341359594382,
      0.6880767368714,
      -0.589079797708892,
      -0.00830814374061065,
      0.559160419854295,
      0.106692330840789,
      -0.177289448850365,
      -0.0504628151611074,
      -1.093422737581,
      0.299467584895911,
      0.76330571103952,
      -0.236071653108364,
      -0.133677939519701,
      0.147384838483487,
      -0.171891164399956,
      0.495056961303266,
      -0.66782905802153,
      -0.269814713627462,
      0.251827380747487,
      0.199496833893039,
      0.312026945534968,
      -0.304869739478401,
      -0.601807304657702,
      0.529171273915028,
      0.586577083394649,
      -1.15923440396305,
      0.361889094100328,
      -0.0991944083964763,
      0.225782164627109,
      -0.248779299077104,
      0.651725633767384,
      -0.91692705523746,
      0.389723067823378,
      0.202426764597459,
      0.412916625262688,
      -0.38777332978804,
      0.391661304358901,
      0.000166626417972208,
      -0.712296827978131,
      0.461026219768148,
      -0.0752494623469772,
      -0.237314467783495,
      0.910219877788586,
      -0.946305598076647,
      1.246261754912,
      -0.75942011241307,
      -0.200663422792109,
      0.384363115245092,
      -0.193887413061983,
      -0.727375058752668,
      1.20908099364021,
      -1.45794066556234,
      1.0452471659336,
      -0.264315085076229,
      -0.627196346260738,
      -0.184658067043432,
      0.994850088172845,
      0.226603130259792,
      -0.152805139759923,
      -0.236226995234874,
      -0.143982556258576,
      0.564562987155111,
      -0.124673098283508,
      -0.507501812177385,
      0.101085458138103,
      -0.430056594658635,
      0.735969097779398,
      -0.47359988963972,
      0.325797242017614,
      0.569566857894887,
      -0.395848097606657,
      -0.289676793422882,
      0.36738449076814,
      -0.227465386908764,
      0.593645891957056,
      -0.241810940083795,
      -0.535401341764224,
      0.324700410665375,
      -0.224250278128829,
      0.151192764254035,
      -1.11846128395372,
      0.163075414488554,
      0.774128136397792,
      -0.000876876686035263,
      0.358364781977779,
      -1.11680961025476,
      -0.397307757820939,
      1.19893150216687,
      -0.184005470384125,
      0.443983820548713,
      -0.433624983072203,
      -0.776520129809713,
      1.159869227741,
      -0.391194321683278,
      0.521066796264128,
      -0.345428911686731,
      -0.197104489004044,
      0.0331113702835619,
      0.0268558486188985,
      0.441034115679294,
      -0.026997783836837,
      -0.0362440665912143,
      -0.681884424681697,
      0.853022045227292,
      -0.84999887351795,
      0.749612598182675,
      0.423963918848489,
      -1.47446447492625,
      0.816528338437727,
      -0.275523511517614,
      0.309683012903209,
      0.727287344655116,
      -1.18317792319673,
      -0.244373069504719,
      0.987833775096618,
      -0.600792145889971,
      0.658411644918282,
      -0.516029299172417,
      -1.10944622246961,
      1.17968794515206,
      -0.137312629954196,
      -0.112794087664766,
      0.470114379312721,
      -0.750072265733913,
      0.611122315516255,
      0.210316422319928,
      -0.432039555524702,
      0.127454017387841,
      0.0648181735603479,
      -0.642492495711764,
      1.48568652968524,
      -0.642585595727499,
      -1.13811153387027,
      1.82905442612681,
      -1.14371074515512,
      0.168971560712191,
      0.228674843300813,
      -0.249595346263826,
      0.985604772881949,
      -1.14640475314484,
      -0.213691550556829,
      0.508057519321421,
      -0.268929112451065,
      0.599789675447234,
      -0.0515275182716737,
      -0.99397409407874,
      0.996693817423358,
      -0.304053999781689,
      0.027955640263382,
      0.590941774052047,
      -2.24005871565735,
      1.90226502342194,
      -0.0061876907723971,
      -0.711718120265247,
      -0.243653734059199,
      -0.225709651820842,
      0.623613986039893,
      0.341524356040443,
      -0.280704467651925,
      0.0834575006836987,
      -0.205967843053599,
      0.34488512966304,
      -0.199319182873762,
      0.0391649655731602,
      0.266896389477347,
      0.508363926633159,
      -0.653658317706344,
      0.250267705469139,
      -0.101244095205898,
      0.0725648453274544,
      0.671049737115644,
      -1.01425454333748,
      0.404995661527531,
      -0.828552174039094,
      0.611983351360933,
      0.744169068198168,
      -1.47872308137132,
      0.422533938789102,
      -0.139222830239192,
      0.574222537397868,
      0.322192773836301,
      -0.767505532074757,
      -0.780581868624539,
      0.9333071736807,
      0.350376980122727,
      -0.113010271328901,
      -0.231573960138511,
      -0.353849250707141,
      0.26540058854901,
      0.210162880376622,
      0.0810778850677198,
      -0.182626464393626,
      0.395222702448052,
      -0.30694754833139,
      -0.110762549618819,
      0.034433694280001,
      -0.0487220221102756,
      0.0677015941192607,
      0,
      -0.381982385854033,
      0.193718986357417,
      -0.0416651006165601,
      0.217854652303168,
      -0.0917499480307844,
      0.722932914485118,
      -1.0586815450874,
      0.0926741492468412,
      0.14955986502132,
      -0.448945502023096,
      0.696284457027408,
      -0.581399293850647,
      -0.0825661355132819,
      0.670197306335827,
      -0.913445022379063,
      0.0454572840717229,
      0.557896702262724,
      0.0355651186436306,
      0.0588313171509914,
      -0.00754743933879942,
      0.532282796152005,
      -0.86643107040216,
      0.157164346196505,
      0.153970761066085,
      -0.206429201276758,
      -0.372210538715699,
      0.382041486240989,
      0.0637832898188204,
      -0.212922256585929,
      0.554398981516847,
      -0.769694238219389,
      0.454483925346348,
      0.346461611141915,
      -0.311780304929134,
      0.12410501260777,
      -0.0547355000139847,
      -0.185698145141171,
      0.330147466350186,
      -0.325314091689052,
      0.461122965662287,
      0.359219980716934,
      -0.729538328539551,
      -0.0141159537513259,
      -0.322332205056599,
      0.530361556634763,
      -0.221354448224665,
      -0.242947893955947,
      0.210520880023283,
      -0.152737273475184,
      0.224216158104769,
      -0.255718846837676,
      -0.0117075864033564,
      0.193526800546251,
      -0.277892609371889,
      0.306655318802463,
      -0.300054580556792,
      0.2033738521039,
      0.143143825754631,
      0.0813368724062913,
      0.0366419593445347,
      -0.527547162741385,
      0.246966804004115,
      -0.112134013170556,
      0.572560675550607,
      -0.733134560135577,
      0.625905544459246,
      -0.0897335287225147,
      -0.302932868643293,
      0.311618368339857,
      -0.304869491924842,
      0.329668890565987,
      0.162239758833864,
      -0.390909538973084,
      -0.154080311485297,
      0.562076940410964,
      -0.262653400568945,
      0.270734688340661,
      -0.650160351507295,
      -0.35219945291869,
      0.623932177010435,
      -0.500659040572533,
      0.039878541012668,
      0.0764379024903415,
      0.805927783946149,
      -1.06524445174491,
      1.01696395046815,
      -0.215729454352371,
      -0.973464662019283,
      1.11193935216385,
      -0.473599936915814,
      0.0244871312884212,
      -0.469538157371602,
      0.574117987570659,
      0.0878214715470706,
      0.542157150175215,
      -0.776687731526405,
      0.968694295915776,
      -0.974629188101114,
      0.157512437030715,
      0.475388669145499,
      -0.893347138443515,
      0.506926835618899,
      0.100640738626096,
      0.362495853173683,
      -0.385408729770536,
      -0.349653439170723,
      0.129044344961526,
      0.113280089004104,
      0.838962617694561,
      -0.429338400384311,
      -0.242028703787003,
      -0.429317057083201,
      0.170360654689583,
      0.375567353861253,
      0.809629319392142,
      -0.90288263855325,
      -0.475829221827486,
      -0.0888969926721612,
      0.359954668137098,
      -0.345688705286577,
      0.123944087165527,
      0.709184338486591,
      -0.588351695826529,
      0.347407317107631,
      -0.500861591294421,
      0.222105644785233,
      0.783973764095042,
      0.1649827885084,
      -1.08328464069679,
      -0.102440200504129,
      0.277028767663528,
      0.470338424068189,
      -0.595873233804324,
      0.292183897727397,
      -0.516357689910966,
      0.365606152979337,
      -0.0904791981871494,
      0.286206298406018,
      -0.457797951968072,
      0.336098230151595,
      -0.0951146174259044,
      0.138577993453673,
      -0.727013832650387,
      0.192845020057262,
      0.514262900647485,
      -0.047595537664301,
      -0.115359233621193,
      0.536525462135184,
      -0.228142461241726,
      -0.570563912290292,
      0.554800606916033,
      -0.290722319725285,
      0.225426922641031,
      -0.268588942202345,
      0.302731161188565,
      -0.311713007116728,
      -0.481042505331138,
      0.766334453624842,
      0.164577309921261,
      -0.381771786349023,
      -0.135974814795565,
      0.00492073863050013,
      -0.131949350865814,
      0.205668074986201,
      -0.0382552429622762,
      0.115217518411101,
      0.149817441210226,
      -0.312749781463182,
      -0.0996644705751187,
      0.084917467353827,
      0.131596940359264,
      0.290408906541887,
      -0.602439092133194,
      0.328938575217253,
      0.694005776238659,
      -1.00597689770887,
      0.203150976931125,
      0.0308285638493235,
      -0.690206019954081,
      0.809730582021242,
      0.446825803577888,
      -1.06976096315241,
      0.910506283256433,
      0.0228150016300393,
      -0.343667733622937,
      0.457998921869242,
      -0.325494611344572,
      -0.0803732621050638,
      -0.0900866336145416,
      0.359180888819904,
      -0.134756152089504,
      -0.312574880261507,
      0.481100133258436,
      -0.428746959372883,
      0.387548540801149,
      -0.521534135390943,
      0.0164538812285231,
      -0.171045109082912,
      0.92682725251404,
      -0.603363695163493,
      -0.0368215207856286,
      0.802487553800735,
      -0.724048156417965,
      0.0130350467661178,
      0.180144088506991,
      -0.309347753738941,
      0.370506447989191,
      -0.212392360684503,
      -0.430435225217775,
      0.432292948785652,
      -0.128178254742751,
      0.617996518177579,
      -0.247908855482523,
      -0.5905002693696,
      0.34948082328123,
      -0.270741659956383,
      0.245691294520578,
      0.238906813031889,
      -0.36447290042286,
      0.33144789177668,
      -0.393885598470047,
      0.0897843366749291,
      0.244412692243753,
      -0.0265510585039743,
      -0.106008092305859,
      0.161810434403849,
      -0.168884553460881,
      -0.0796892221751836,
      0.00351293415314577,
      0.150729978539261,
      -0.198658785255518,
      0.282179085497135,
      -0.364022897001432,
      -0.0808192023578398,
      0.0119216771204819,
      0.592266739665656,
      -0.457065918239702,
      -0.136648903690564,
      0.766523003839972,
      -0.550222275027537,
      -0.104357104558545,
      -0.376329994934595,
      0.593139821174518,
      0.308618988472687,
      -0.357550333341002,
      -0.505379705237542,
      0.00187700540118969,
      0.0925519236241032,
      0.43673834050769,
      0.244802805972634,
      -0.720883196376295,
      0.748229250995158,
      -0.297044319484741,
      0.191637326691965,
      0.0270350326466613,
      0.121492764222856,
      -0.655876589746204,
      0.0979839198698739,
      0.285426291796289,
      -0.366719925527522,
      0.471346158297754,
      -0.464103712483629,
      0.307889748971331,
      0.20951181438713,
      -1.1203238577587,
      1.40188967017299,
      -0.46575888029301,
      0.103964404405349,
      -0.163797569484633,
      -0.840972536662602,
      1.45704582617231,
      -0.248874714556714,
      -0.530026336711301,
      -0.104661654014437,
      -0.538321967888081,
      0.983723113975906,
      0.34024734081775,
      -0.979965681620493,
      0.970748420317556,
      -0.730469241693281,
      0.340951131513084,
      0.365046748715727,
      -0.566483597593948,
      -0.190955935140182,
      0.277382168483945,
      0.0244087976417314,
      0.144549991964526,
      -0.339010064540642,
      -0.142796887477427,
      0.056501018922455,
      0.357582495915328,
      -0.0697602227038943,
      -0.330242709876585,
      -0.0516436188488678,
      0.570157112968914,
      -0.338040998150036,
      0.502112511534427,
      -0.209171195831764,
      -0.166180525701088,
      0.0335995651174922,
      -0.374863286902777,
      0.292814958257597,
      0.381778756600012,
      -0.208404663137713,
      -0.198392615407043,
      0.302606813648444,
      -0.703217376859525,
      0.598103013214861,
      0.242849694148465,
      -0.843132263479472,
      0.692278990861064,
      -0.341707712173369,
      0.317774290290883,
      0.112073602838266,
      -0.435994819039639,
      0.197152974618852,
      0.0757424008950448,
      0.154030752415095,
      0.0799120198108403,
      -0.0679674706400648,
      0.458176511171054,
      -0.598902586688293,
      0.105028218547382,
      -0.274641781186042,
      -0.117739799804598,
      0.191703651822081,
      0.150878881098463,
      -0.448028504775539,
      0.0333261813184315,
      -0.0840069674623274,
      -0.314515959643087,
      0.540171111203378,
      -0.0791272411115203,
      -0.0714884376010938,
      1.03028238454768,
      -0.201211840627626,
      -1.03010330584973,
      0.319602644579552,
      0.109428128684449,
      0.0507631013675877,
      -0.446818475785117,
      0.211444416110344,
      0.290034817338967,
      -0.373442272627943,
      0.454880974006811,
      0.151148069379681,
      -0.430073029424097,
      0.297837272695586,
      -0.0702491720428916,
      -0.412966960707637,
      0.681997196881791,
      -0.500778080284243,
      0.231362410928122,
      0.0643971236198645,
      -0.494784912724189,
      0.861676360285229,
      -0.804404797741536,
      0.228195666724005,
      -0.351302813285465,
      0.567266059091956,
      -0.694995223645433,
      0.152328785104869,
      0.184816943928762,
      -0.095442023653095,
      0.449328517747094,
      -0.422013016095347,
      -0.0747166579581432,
      0.233176947626075,
      -0.165640215833248,
      0.160776662948977,
      -0.0653956790172396,
      -0.0610451004414259,
      -0.0236774850608453,
      0.216973575441006,
      0.056092995302458,
      -0.059394582189777,
      -0.152696635494074,
      -0.131721818115584,
      0.636891083608606,
      -0.801938168781026,
      0.604410230627307,
      -0.0610055908140587,
      -0.287393756736119,
      0.287303326727864,
      -0.205061401463621,
      0.283235305279905,
      0.140063501072307,
      -0.383828931961693,
      -0.131713390879447,
      0.649769464112128,
      -0.450053896143397,
      0.322127191798607,
      -0.376895619460446,
      -0.766446778768584,
      0.843333391616035,
      -0.728549322462993,
      -0.0864223394107848,
      -0.0230256683544824,
      1.03678881173289,
      0.207325021717564,
      -1.11984721667968,
      0.394400447036289,
      0.165395994325678,
      0.255209527362519,
      -0.177909336096242,
      -0.0350356608441937,
      0.560792511716203,
      -1.47206142204469,
      1.02386321416683,
      0.547804946708607,
      -0.459694539552717,
      0.0662017124309159,
      0.512883014065364,
      -0.807848266792313,
      0.583263224971781,
      -0.823973989935755,
      0.363866454858497,
      0.602429011025829,
      -0.925776709747556,
      0.341372872091209,
      0.288249682220083,
      0.261397070605585,
      0.105793532325073,
      -0.783076091520469,
      0.0575827602884834,
      -0.339255314089404,
      0.783488122470646,
      -0.525484361146997,
      -0.408174689274868,
      0.309455343049984,
      0.134121488018037,
      0.131915042216459,
      -0.626393808169178,
      0.470496093128774,
      -0.251792511601461,
      0.550192678898275,
      -0.102884647237352,
      -0.350081253777094,
      0.284774556955519,
      0.118217451205001,
      -0.160386574744701,
      0.0697609119885605,
      0.0145468186534797,
      -0.209453432729104,
      0.319402585251676,
      -0.130347643948064,
      0.0586671366250343,
      0.615884414765443,
      -0.915366332393313,
      0.422973317341114,
      -0.26900479250884,
      -0.974539460319162,
      1.73931498978512,
      -0.749639434590585,
      0.416647388427019,
      -0.27849626686908,
      -0.115476882665559,
      0.0869125465932187,
      0.0376489829120183,
      -0.0672403180301559,
      0.0638562837221141,
      -0.0914098033332869,
      0.106461052261294,
      -0.0832862235640757,
      0.0445745339765289,
      -0.123646695593984,
      -0.00290725378336519,
      0.228556480023202,
      -0.127651080704033,
      -0.113678359421736,
      0.0253013072020679,
      -0.0464451883931877,
      0.0626543056996943,
      0,
      -1.13513288037208,
      0.246637131874831,
      -0.302208666786731,
      -0.0933953838136205,
      0.101251543531019,
      0.00581671591762318,
      0.445164536688734,
      -0.325191444892484,
      0.0362007851189874,
      -1.10919805247449,
      1.21016684354566,
      -0.644946044331425,
      -0.238889892849967,
      0.784824519360397,
      -0.234973682556279,
      0.192556230154789,
      -0.0814775933724596,
      -0.26909009938345,
      0.439296881365849,
      -0.340945994497181,
      0.504560623076994,
      -0.364247767001946,
      0.0644794033893334,
      -0.205803313374976,
      -0.0389909802042629,
      0.717560076106169,
      -0.43233179879128,
      0.042358837193268,
      -0.609894883482554,
      1.24780686433447,
      -0.66517370443288,
      -0.23962941053173,
      0.703489329540058,
      -0.539101867421612,
      0.0197343365778227,
      0.0576819343405824,
      -0.24035469332171,
      0.542629722684916,
      -0.594521256292185,
      0.242554136799775,
      -0.242460120878581,
      -0.472652362363877,
      0.743518583519104,
      -0.450824320649175,
      0.946153078149255,
      -0.618920327338705,
      -1.08920476508196,
      1.11793205875533,
      -0.180330476026598,
      0.196320250951539,
      0.185851977224305,
      -1.39336904544631,
      1.09640511965578,
      -0.302298407519281,
      0.466384643831078,
      0.0391604792413417,
      -0.577871214645391,
      0.361351038144589,
      -0.0169218492826679,
      -0.0565876776557718,
      0.508978913120698,
      0.254550710375411,
      -0.758459006555138,
      0.324623599559583,
      -0.577946003287856,
      0.58323759352137,
      0.936792289079112,
      -1.41802277988914,
      0.384451114543515,
      -0.0562775815389009,
      -0.237297174394599,
      1.02205727497422,
      -0.749751140023188,
      -0.524725346969192,
      0.294650152151608,
      0.28374930693454,
      0.472232169224622,
      -0.905069658747434,
      -0.786035683378457,
      1.06225608204986,
      0.329271337889098,
      -0.297276590324651,
      -0.00350715040941547,
      -0.419518085719933,
      0.661576274176642,
      -0.455500715854022,
      0.472685313748969,
      -0.160125487684272,
      -0.0367521794450423,
      0.152347417627998,
      0.0112719993744382,
      0.375331494588074,
      -0.487994609672164,
      0.40358951537571,
      0.210204226276965,
      -0.383907446060177,
      -0.757090990050864,
      0.52922667892312,
      0.630962400692458,
      -0.592394244348766,
      -0.971837958616703,
      0.615140190798903,
      0.0725735808642426,
      0.117566850960321,
      0.265137841252425,
      -0.905883716955842,
      1.11232626515724,
      -0.412336851157759,
      0.0752977355142623,
      -0.448892658700779,
      -0.784714878787808,
      1.58250705314767,
      -0.733533933311853,
      0.237751347365303,
      0.13442568290431,
      -0.445409885352277,
      0.959049822484556,
      -0.48172558091259,
      -0.142658183620647,
      -0.370937533375438,
      0.415148774975273,
      -0.0500606664342523,
      0.425415234894995,
      -0.354535394150015,
      0.290881249617809,
      -0.0319744576260852,
      -0.463103896143557,
      0.059391189921953,
      0.0911755692619275,
      -0.22629260425595,
      0.879948063087579,
      -0.648507355571738,
      0.0365833897304591,
      -0.130878088275766,
      0.0734348040435071,
      0.22332381982938,
      0.0936835996524937,
      -0.737627356913403,
      0.43449159727095,
      -0.129943750956307,
      0.610009518964217,
      0.0129931451466256,
      -0.919487549263915,
      0.240475706617536,
      0.0064093177517847,
      0.0848134860890414,
      0.425199204987328,
      -0.962607803581929,
      1.25912223683264,
      -1.11455288159713,
      0.727365017121164,
      -0.309248535928823,
      0.184672634174732,
      0.160415358399699,
      -0.27651066614229,
      0.0662894007937967,
      -0.536803054306691,
      0.68602843039396,
      0.793966034637807,
      -0.949293464918501,
      -0.0237257306468671,
      -0.34752729216526,
      0.525904449837615,
      -0.457890889959958,
      0.1924217693086,
      0.0699647709881381,
      -0.433012965716478,
      0.749662862044452,
      0.213956731449985,
      -1.25080697984223,
      0.494371311450783,
      0.0799408391579038,
      0.13909850016886,
      0.514215176812796,
      -1.52012223280309,
      0.744490495539565,
      0.517184393357466,
      -0.43887026358934,
      -0.108048132765782,
      -0.264472375106144,
      0.942946941018025,
      -0.347094914641612,
      0.0118922050230792,
      0.117069038790796,
      -0.248459760273426,
      -0.320635661894334,
      0.683047587926951,
      -0.355836929687541,
      -0.379449839016332,
      0.892401946498824,
      -0.937689245583212,
      0.589843038657998,
      0.519320086466733,
      -1.52155685306666,
      1.23442343044921,
      -0.169542430548679,
      -0.541983526334912,
      0.749664418534149,
      -0.710886917205549,
      0.509917258878533,
      0.12387484420776,
      -0.637544518831464,
      0.33578999662653,
      -0.43136501692633,
      1.07208504505835,
      0.0169674939181585,
      -1.55735077106528,
      0.8172055164947,
      0.219128332958429,
      0.413890535272946,
      -0.266888554285715,
      -0.744394275644283,
      0.325656406567321,
      0.677733508503952,
      -0.15718799996909,
      -0.557143146848545,
      0.466561480375648,
      -0.427407113665852,
      0.319046744042399,
      -0.205143815737683,
      -0.252517841421097,
      0.975640655363315,
      -0.436644718764374,
      -0.000322785241426979,
      -0.331985290809314,
      -0.277103758550586,
      1.10697827960473,
      -0.638432960245903,
      -0.352242416119382,
      0.273311584045183,
      -0.386541418993079,
      0.675882193211549,
      -0.480303514805951,
      -0.590371582009347,
      0.393381797284126,
      0.685371986871302,
      -0.555153243283331,
      0.0780670421302618,
      -0.488908655705648,
      0.361444637154665,
      0.095159696733686,
      0.277339663244772,
      -0.125950200568003,
      -0.339310764292359,
      -0.128197383657206,
      0.69363897081986,
      0.0845526821289179,
      -0.633947947650619,
      0.574112919446878,
      -0.157370339523273,
      -0.400564118783514,
      0.187029442625447,
      -0.574367275690184,
      1.23102568292658,
      -0.281152379507114,
      -0.520388165236145,
      0.558372213393039,
      -0.753853546621472,
      0.822074494416878,
      -1.10876540957136,
      0.0906484222699984,
      0.979713115660908,
      -0.721205864796063,
      0.267450197345543,
      -0.189973144933359,
      -0.661804396138194,
      1.36465722848196,
      0.0879043522747011,
      -0.0977731054782195,
      -0.427660542810598,
      -0.103658089189234,
      -0.884674586185855,
      0.618141576585495,
      0.568936244187762,
      0.0998157575368304,
      -0.633705313029684,
      0.79192924613407,
      -0.551812895206706,
      0.157627362865661,
      0.265876699632412,
      0.10383919156898,
      -0.619978997493719,
      1.25361144886449,
      -1.72542085182805,
      0.73781512357035,
      0.348307053703873,
      0.690647894249612,
      -0.604816901478125,
      -0.564234589916811,
      0.219624081269153,
      0.305787381946703,
      -0.684435543347996,
      -0.103430719212641,
      0.414681633681396,
      -0.0456904256627758,
      0.44541749032283,
      -0.800271780608381,
      -0.297733070531148,
      0.497268291685747,
      -0.155298064141969,
      0.312645171378689,
      0.00432435032858829,
      -1.13491799495158,
      0.855409018532741,
      0.255488899067789,
      0.155617404707974,
      0.0306078999661205,
      -0.505284837309615,
      0.135161660483769,
      0.526444240988386,
      -0.263467321645621,
      -0.0899892512512186,
      0.198052185766649,
      0.201235489922006,
      -0.378924378747769,
      -0.00793855057668453,
      0.261739460321609,
      0.22050619948163,
      -0.574864656312159,
      0.172650870715483,
      0.00350616713617551,
      0.234458313428736,
      0.240716701707014,
      -0.389688386004178,
      -0.888243685883858,
      0.974620087525788,
      -0.645202768492814,
      0.0974396599100115,
      0.749719118473435,
      -1.10898998324623,
      0.802372324187899,
      -0.103578850113726,
      0.0945459490578291,
      0.411047338126669,
      -1.06580878847167,
      0.882656516030846,
      -0.208448521277171,
      0.111677552513407,
      -0.285211020135678,
      -0.222090813812431,
      0.922307504404639,
      -0.216880753448693,
      -0.164140882330265,
      -0.744841386910947,
      0.999989862996432,
      -0.436769956426001,
      -0.0375065881247632,
      0.484477467433345,
      -0.58655015404824,
      0.838787955794212,
      -0.784829198045435,
      -0.235527737409796,
      0.41363557412463,
      -0.733231607443708,
      0.82818156563427,
      -0.491078968170284,
      -0.237161183467813,
      0.45690951718791,
      -0.342704128659781,
      0.757946182426217,
      -0.429357938313085,
      -0.98908222624163,
      1.05888234147158,
      -0.0729374529619006,
      -0.0163804028921584,
      0.235597979967478,
      -1.14695625715207,
      0.928976677171241,
      -0.270349116390189,
      0.391973111401369,
      -0.143280610414978,
      -0.367909118585849,
      0.467283052812888,
      -0.169256940231935,
      0.0500324183495873,
      0.126559145415699,
      0.526005701396879,
      -0.791816699859715,
      0.395103473429963,
      -0.686113425127314,
      0.614831464256961,
      0.983967903693055,
      -1.47153557680818,
      0.452930966579899,
      -0.156070871339953,
      -0.193049187594112,
      1.04385293918038,
      -0.756095874171007,
      -0.492039450007574,
      0.338320921865268,
      0.136279999716929,
      0.554975750876485,
      -0.607223092526613,
      -1.33353019240974,
      1.33890718054731,
      -1.03799554235675,
      1.13213566308091,
      0.120753856214979,
      -0.180032479044566,
      0.199976250262852,
      -0.0242060441053063,
      -0.0253234058494635,
      0.214374902545802,
      -0.535346770895161,
      0.426759895361238,
      -0.258784005841726,
      0.117578986423459,
      -0.3460598468196,
      0.676306543886593,
      -0.932957060078501,
      0.663358107306241,
      -0.128046233616357,
      -0.387571946886773,
      1.0501920911254,
      -0.75060758719003,
      0.37635299804597,
      -0.324820345952354,
      -0.393158970819072,
      1.08593909969278,
      -0.337060594337827,
      -0.962217768142243,
      1.38679606868017,
      -0.761694407557505,
      0.272091603000308,
      -0.115968800331014,
      -0.935764353645077,
      1.01980499837369,
      -0.0739797584317142,
      -0.133109457779114,
      -0.791957762615375,
      -0.187389003396761,
      1.29542362589677,
      -0.0977339588127048,
      -0.363147960043566,
      -0.504815968354347,
      0.804309987481884,
      -0.147375665110568,
      -0.0897591029168564,
      0.0671227497133956,
      -0.112517543917976,
      0.534913507186757,
      -0.426375568375576,
      -0.0617392358416043,
      -0.0354850496479844,
      0.0524058160929215,
      0.727044920142685,
      -0.81655761343085,
      0.088093064564322,
      0.212473296797826,
      -0.221002166524483,
      0.488326359112425,
      -0.993735605562746,
      -0.100578535471247,
      0.647357623248899,
      0.0587117475477507,
      0.178941153449316,
      -0.302716609058604,
      -0.799862026816585,
      1.16333970410117,
      -0.37993103536507,
      0.166476521098308,
      0.0657413677162038,
      -0.726590150038625,
      0.736922664531531,
      -0.166434676388891,
      0.0628411885798414,
      -0.10453753838351,
      0.124886137206933,
      0.0217403982253583,
      -0.170711242317094,
      0.0177001705743978,
      -0.043526398449055,
      0.0568069275264212,
      0,
      0.236437019134051,
      0.0878656713856658,
      -0.276037583735396,
      -0.0643831631632554,
      -0.0887556247072875,
      -0.110139021913056,
      0.319452364169405,
      0.240205774745043,
      -0.255124251113117,
      -0.0503426410012893,
      -0.242768420460662,
      0.331866526537396,
      0.241405116196696,
      -0.214132396406158,
      0.0246787172994129,
      0.134871851179027,
      0.0601881501067393,
      0.120768168255253,
      -0.486008017842688,
      -0.0134350878038133,
      -0.0217921159532088,
      0.17437519703823,
      -0.104899056535711,
      -0.248292986182479,
      0.445950068100203,
      -0.00327923712257483,
      0.619052432867181,
      -0.753048858261529,
      -0.105673646807583,
      -0.194385990458535,
      0.0654143302870323,
      0.629531315421112,
      -0.916315499759018,
      0.857908628028947,
      -0.229374686099402,
      -0.350017542334461,
      0.308098082003311,
      -0.233419118925987,
      0.335492847081118,
      -0.107160690631564,
      0.0640397695330797,
      -0.247944356942232,
      0.218189345231304,
      -0.0573836577803804,
      -0.149195296627183,
      0.391035284920561,
      -0.278492310425449,
      0.131062286424089,
      -0.0348529684888594,
      0.118089073721262,
      -0.106489182578233,
      -0.234926937534855,
      0.221141001053454,
      0.0166663473681728,
      0.114896859137502,
      -0.183415935614776,
      -0.0062555651485141,
      -0.11571907129275,
      0.113587879245683,
      0.1860443109019,
      -0.129297063902768,
      -0.0416310075804059,
      -0.119518522912995,
      0.241354223622837,
      -0.189619224966921,
      0.0650833160886408,
      0.129761482224773,
      -0.433139696526617,
      0.391824906627818,
      -0.0521946084625122,
      0.2169129313725,
      -0.00318926256795898,
      -0.476683633340632,
      0.0578693226343098,
      0.303407870816132,
      -0.209654125931281,
      0.171735810722928,
      -0.391290753428955,
      0.939077660710062,
      -0.701678198935481,
      0.0762306876397663,
      -0.0232352465074951,
      -0.256753939573095,
      0.109760792445421,
      0.840658311856345,
      -1.05040187104909,
      0.504153536547228,
      -0.133368661469693,
      -0.0376760810978582,
      1.13212834712984,
      -1.15511735031486,
      0.451998497202429,
      -0.506190403293269,
      0.216648561033852,
      -0.0376520523209787,
      -0.263415715145279,
      -0.369396755494874,
      0.811869638160657,
      -0.2353821260268,
      0.199039965871876,
      -0.489210685190057,
      0.0578539889684138,
      0.715410909588457,
      -0.481878965449976,
      -0.299405094053802,
      0.0603705224977339,
      0.618166613863781,
      -0.359251563775897,
      0.230561931353008,
      -0.603562502829907,
      -0.000013844126173784,
      0.787406445818716,
      -0.798981219205639,
      0.851561276619163,
      -0.471950581306384,
      -0.166854811048635,
      0.314577813900814,
      -0.619885564927572,
      0.668218038917862,
      -0.327982738478614,
      0.151640142088909,
      0.304288068815778,
      -0.64355391729936,
      0.384519353540737,
      0.174476305953021,
      -0.294257400258421,
      0.642926266364268,
      -0.69591456896394,
      -0.0536805001300853,
      0.0824487340918873,
      0.609062857094707,
      -0.131728950844269,
      -0.410433362911594,
      0.0967551135674789,
      0.560111062039279,
      -0.445261701967113,
      -0.268023499080407,
      0.202523637628655,
      -0.142421106109134,
      0.2761585197216,
      0.0795943236221863,
      -0.0111059558025065,
      -0.426892795552811,
      0.146079627177183,
      0.0702754127121866,
      0.0818614339045214,
      -0.37932897486049,
      -0.032776661936561,
      -0.219162088178608,
      1.03570500258495,
      -0.599444042530329,
      0.00149001593407143,
      0.162636659814105,
      -0.135191372572296,
      0.0364059425137616,
      -0.392058166094962,
      0.274793283738223,
      0.113907457435198,
      0.414205900620427,
      -0.661219719271304,
      0.0574161163781392,
      0.460128427753612,
      -0.00489157815618884,
      -0.309619508134805,
      -0.188655851646632,
      0.0578193763959351,
      -0.0209886074901806,
      -0.140336120145162,
      -0.0248468511729126,
      0.126767628848599,
      -0.137081628265837,
      0.424915988449158,
      0.159891374930329,
      -0.757196664094332,
      0.170621889317945,
      0.0223553043954456,
      -0.17888991931534,
      0.723799947814116,
      -0.426020484394533,
      -0.408037205196588,
      0.425018689311119,
      -0.207239948186824,
      0.0409057248074745,
      -0.0618950152597666,
      0.262465380743392,
      0.277757468075631,
      -0.552468843389231,
      0.437277747591958,
      -0.0771053710465701,
      0.286069926501936,
      0.0535380243157376,
      -0.305514175785279,
      -0.433540173814909,
      0.465517242073969,
      0.244906043352096,
      0.00844184368401591,
      -0.105538372291103,
      -0.434027200499345,
      0.800467537169038,
      -0.37939485456615,
      -0.445926705663459,
      0.206953374322067,
      -0.0153185495408005,
      0.25949154401836,
      -0.304804523988674,
      -0.348873901035177,
      0.54799515332074,
      -0.142908643507331,
      -0.264836040321433,
      -0.115284779661857,
      0.120136655280145,
      0.481459318409715,
      -0.464704636591992,
      -0.187316073479105,
      0.240153522948483,
      -0.066427757882176,
      0.498925720156012,
      -0.568828393918686,
      0.263565025176669,
      0.194945182348377,
      0.0733250923873748,
      -0.236035851566319,
      0.178314177268793,
      -0.0724271288579603,
      -0.0591779222457577,
      0.269304699788966,
      -0.289313272894809,
      -0.197173137231198,
      0.123046687634083,
      0.410969481338674,
      0.149618866588372,
      -0.56694371334396,
      -0.0511358488148757,
      -0.0753492889108961,
      -0.0369544380980588,
      0.742432093448033,
      -0.468706232086312,
      -0.00671840017891267,
      0.0653657029760474,
      -0.205784212531385,
      -0.0797067173051325,
      0.227929281404801,
      0.0370690914926601,
      0.0383707429559738,
      0.0497480434598443,
      -0.408944351327302,
      0.389251033827738,
      -0.347778684856503,
      0.257060971189814,
      0.0729171063101571,
      -0.0531471218876413,
      -0.221199382344992,
      0.215752448133824,
      0.212274647418799,
      -0.318834735144226,
      0.281114469906067,
      -0.72707114267398,
      1.03476880433508,
      -0.128433281198711,
      -0.915059236878336,
      0.314886808458229,
      0.0157855664430614,
      0.737954961026454,
      -0.264495595017819,
      -0.79395436375753,
      0.539545674148636,
      -0.0603409423963324,
      0.625444926408108,
      -0.583974928043771,
      -0.260476117660544,
      0.366110315336796,
      -0.0853527409063256,
      -0.192516699625867,
      0.385940533733517,
      0.117006079182128,
      -0.259476784688726,
      0.35409572904513,
      -0.547164484088802,
      0.450302742562662,
      -0.639863936981007,
      0.450699779013089,
      0.564314507445798,
      -0.792679353715338,
      -0.188033287634112,
      0.322652917729127,
      -0.0731216671584078,
      0.449165954788039,
      -0.491259736538212,
      -0.366741463477545,
      0.742832624928827,
      -0.232055534040705,
      -0.472468638829035,
      0.377619793292536,
      -0.570145765358525,
      1.20215905641219,
      -0.828418871856869,
      -0.485202767386471,
      0.258277803642547,
      0.33856727731569,
      0.275897667350144,
      -0.0464817741711409,
      0.242893041241895,
      -0.870648712516667,
      0.570943599589102,
      -0.441143276389134,
      0.68224830034819,
      -0.00875624521455256,
      -0.737301934769691,
      0.465199916866097,
      -0.178059138420949,
      0.1016880554353,
      0.0362183721098266,
      0.101837648250274,
      0.0641709182139742,
      0.0460292272949175,
      -0.0875131989751758,
      0.0242699273033941,
      0.0846465577546804,
      -0.347139819983518,
      -0.138965949502923,
      -0.0556753980982705,
      0.816218982008272,
      0.289148441374298,
      -0.790761165800163,
      -0.249538634973262,
      -0.284144092523757,
      0.963833985155778,
      -0.208921927338476,
      -0.639313759878686,
      0.384765420596271,
      0.181984289149561,
      0.00676418100814779,
      0.273647570235217,
      -0.762854043030604,
      0.181591479397792,
      -0.0953414819718036,
      0.474469794216895,
      -0.155698607849896,
      -0.508498430908105,
      0.512851635621265,
      0.493901371501349,
      -0.210855771289091,
      -0.253491033324566,
      -0.323873475156341,
      0.357552768412069,
      0.326826447760912,
      -0.45599657123194,
      -0.508712177385802,
      0.883209411593447,
      -0.264001909105278,
      -0.131383659620797,
      -0.116468770735719,
      -0.13274356886159,
      0.882344234523226,
      -0.628812770739594,
      0.107974441368153,
      -0.257789823035317,
      0.252744848290945,
      -0.0832683150502307,
      0.0154465554641079,
      0.102346630946411,
      -0.470010946416685,
      0.367957919396676,
      -0.0733713319572645,
      0.317122030317958,
      -0.203780279484598,
      -0.586051857148782,
      0.616558076451771,
      0.0147465607350577,
      0.0473796287813571,
      -0.0273770758243816,
      -0.172376246423194,
      -0.237393860817335,
      -0.0139979325654171,
      0.527221429736047,
      -0.207696096670779,
      -0.0569496810499828,
      -0.0709438401048223,
      0.122202071967771,
      -0.0926223469826464,
      0.0110248102022145,
      0.19988222171699,
      -0.452857870990602,
      0.439551905397184,
      -0.169818653882072,
      0.212391734904663,
      0.0949544825541348,
      -0.544609500880169,
      0.0627555494307544,
      0.419515021484485,
      -0.418094270337907,
      0.314261150916872,
      -0.0978190699841049,
      0.407015120371432,
      -0.404026885364821,
      -0.483298831484014,
      0.56488358328913,
      -0.355533095605637,
      0.330153891164955,
      0.207951758213606,
      -0.437583257796299,
      0.56934170770286,
      -0.0687501837614674,
      -0.125283490383805,
      0.547946177360117,
      -0.597984162437688,
      -0.461074226001906,
      0.538939561311205,
      -0.28437926244165,
      0.332807666024145,
      -0.368838947874917,
      -0.640752782579912,
      0.682503906798771,
      0.230425419411638,
      -0.0663614718921396,
      -0.0111436895145818,
      -0.875111567031811,
      1.09749750389472,
      -0.164393496057937,
      -0.407814760548114,
      -0.360262272127849,
      0.877787280807164,
      -0.474749981756285,
      0.617397901685896,
      -0.721994860743614,
      -0.509672686318691,
      0.966153902956021,
      -0.285468920181928,
      0.842653839524613,
      -0.990255377385139,
      0.0252231054444438,
      0.477111847798667,
      -0.32364471868141,
      0.263363533403861,
      -0.191559833259831,
      0.199915100419549,
      -0.222919318994792,
      0.298951957609411,
      -0.196261628693902,
      -0.0653615455104361,
      0.154836595592999,
      -0.0593479137200803,
      -0.38366246833558,
      0.486965961145376,
      -0.205082864231854,
      0.356699215699062,
      -0.220120824734823,
      -0.697637384066585,
      0.631248795183582,
      -0.0972364291804215,
      0.447636595090455,
      -0.0302970565533955,
      -1.19063101705741,
      0.925536741993171,
      -0.11440231348887,
      0.322926703816615,
      -0.566812168089216,
      0.188621388815367,
      0.102493812386455,
      0.148440519178965,
      -0.0333669263644464,
      -0.444223387270931,
      0.545777553413748,
      -0.114282294203526,
      -0.150327762424018,
      0.0826341910477964,
      -0.142753868083234,
      0.000593148726434207,
      0.263777975087605,
      -0.202676767090127,
      0.0123104854367363,
      -0.0399588972125647,
      0.0503299890862002,
      0,
      -0.970460903602084,
      0.20519053829199,
      -0.181706903209739,
      0.290828334856796,
      -0.100993718940996,
      0.202373555040394,
      0.0331220004773126,
      -0.472874363527225,
      0.18861907015462,
      -0.62793344198941,
      0.663603552189847,
      0.273728456999421,
      -0.815406772865816,
      0.136431063014618,
      0.0699878709360167,
      0.236543918553934,
      0.241804123291406,
      -0.600143450656721,
      -0.00644440359806087,
      -0.115307809803495,
      0.437827644532607,
      0.056687486547167,
      -0.10855483669068,
      0.184196100790491,
      -0.381520020865434,
      0.776019733431189,
      -0.662548651476645,
      0.108152879749597,
      -0.116345830392037,
      0.521429817204227,
      -0.82978569195465,
      0.539760306206344,
      0.339839655339522,
      -0.530623842572842,
      0.141493879541834,
      -0.295466715170846,
      0.249988171149093,
      0.28538340596439,
      -0.00275492767545716,
      -0.314257893126112,
      0.461755027570551,
      -0.545580324023361,
      0.0642872214784565,
      0.319219567382895,
      -0.338885866824828,
      -0.0771493160816111,
      0.0620792187783546,
      0.0126024953697711,
      0.11748884404307,
      -0.108705911821621,
      -0.0169544408847979,
      -0.0911295223017301,
      0.136320375995926,
      0.0298704217434717,
      -0.0947182825239452,
      -0.163198596134941,
      0.27627702386041,
      -0.150287601171426,
      0.233104758323925,
      -0.121214899626492,
      -0.526519537790113,
      0.762877464253815,
      -0.0923889112309473,
      -0.0533225649594176,
      0.0505880877922523,
      -0.136667331304559,
      0.131016966741425,
      0.147559782174163,
      -0.0270677544007965,
      -0.292547212416613,
      -0.00776790359777022,
      -0.125181123587823,
      0.272752394631611,
      -0.123000883918728,
      0.0707935113541491,
      -0.152338918730416,
      0.334935340836144,
      -0.447223061474914,
      -0.00260946520469115,
      0.114930143110377,
      0.848975006628841,
      -0.776646632916111,
      -0.0831412173687111,
      -0.913093855237017,
      1.54794708086131,
      -0.203985386810723,
      -0.311493759551482,
      0.145466258190582,
      0.0767591946177534,
      -0.0703849129384394,
      0.0560869362289242,
      0.309716313785735,
      -0.717658364145369,
      0.747434705017929,
      -0.201517086238274,
      0.0141686223380369,
      -0.547179851966502,
      -0.225147093131038,
      1.16242151275925,
      -0.749764622187325,
      -0.150202831345518,
      0.181758351394804,
      -0.0439767718297162,
      0.322830784749279,
      -0.0981687521419611,
      -0.897880739844804,
      0.823326014966195,
      0.121861973764228,
      -0.207271178945235,
      -0.146671760583557,
      -0.850557180394449,
      1.29781143633348,
      -0.431441440263358,
      0.104082250471573,
      -0.0481035003992384,
      -0.455386517265495,
      0.31312696310441,
      0.0148598599962386,
      0.120607882001607,
      -0.0377307545313616,
      0.140967588261782,
      -0.43783774824444,
      0.626573127604039,
      -0.222574937697255,
      0.138224270973102,
      0.353055566677123,
      -0.76576203983801,
      0.176234569122053,
      0.103948386678057,
      -0.424061078832621,
      1.04326346951138,
      -0.539907202736712,
      -0.32081552812003,
      0.555474580773049,
      -0.754669427560207,
      0.662449666873683,
      0.135494910540034,
      -0.802845470716466,
      0.595494858706125,
      -0.41093003495478,
      0.518749264984538,
      -0.0400979339327322,
      -0.752664314229777,
      0.872879457534897,
      -0.231708806011581,
      0.0586431759962928,
      -0.135877749279894,
      -0.627308163244534,
      0.41913395877301,
      0.406250779690729,
      0.229823244400643,
      -0.766325755295106,
      0.478374538965072,
      -0.16371442792992,
      -0.392248662274987,
      0.5195281529653,
      -0.0592937402313672,
      0.120541079352896,
      0.257793440628101,
      -0.405665766431217,
      -0.172660594649175,
      -0.16926600347592,
      0.131265883324998,
      0.0525522616496183,
      -0.348752908415214,
      0.477744478582937,
      -0.246487436545767,
      0.466305441676077,
      -0.315932522677297,
      -0.464971638393113,
      0.462983581510379,
      0.298116703722041,
      0.181636256364674,
      -0.454003840365611,
      -1.15584450294268,
      1.05934457781272,
      0.343222942018137,
      -0.547158275482969,
      0.127675391174445,
      0.0640105760959597,
      0.115419316681763,
      0.0824526430689187,
      0.156293333820317,
      0.00913524003103813,
      -0.154401989938357,
      -0.130680813068772,
      0.275326981290733,
      -0.218655195298851,
      -0.00983052595403764,
      0.391408743445442,
      -0.747759848224917,
      0.00934262782833331,
      0.316635871554338,
      -0.0961455270765182,
      0.461899555962488,
      -0.0553420842514633,
      -0.102511145674631,
      -0.332113424972154,
      0.636743970113918,
      -0.214134462623259,
      -0.311115468743235,
      -0.283717355958488,
      0.246276618534994,
      0.283552153086426,
      -0.277707339776034,
      -0.18449271416463,
      0.0543039980714468,
      -0.0175885129037952,
      -0.0717884646549367,
      -0.00321116844600844,
      0.125346013862766,
      -0.0613136575083624,
      0.0760062453618022,
      -0.18590492179531,
      -0.02472681398338,
      0.568871997032118,
      0.0931400708453455,
      0.0173966541959695,
      -0.578165331239981,
      0.276235308486303,
      0.0344425034951367,
      0.0834364960097964,
      0.228369640052705,
      -0.21287070677663,
      -0.0797613479458261,
      0.161430261103274,
      -0.227090548658609,
      0.411360412378097,
      -0.391282459924158,
      0.132627500059585,
      0.123699857401091,
      -0.283701318840825,
      -0.251274593143274,
      -0.0918499882865616,
      0.400220444650016,
      -0.126272780007621,
      0.191473987336115,
      -0.266524965564322,
      -0.743933939810401,
      0.914248640925595,
      0.51556897881973,
      -0.41003452275572,
      -0.111039436778384,
      -0.575934486397049,
      0.861544963078235,
      0.329508872407948,
      -0.420183149090017,
      -0.137278097541794,
      0.333713014455018,
      -0.618256883880032,
      0.250828629097864,
      0.226099095548256,
      -0.337416746918842,
      0.543472160886856,
      -0.57280743828468,
      0.275503708669118,
      0.287424091363246,
      -0.779758921258601,
      0.873083846750607,
      -0.829345086440674,
      -0.182537675770186,
      0.796570527497359,
      -0.562839578317962,
      0.186443570828136,
      0.509270662809358,
      -1.51434459351361,
      1.8195160457538,
      -1.10071334819153,
      0.174812528855395,
      0.649257803587256,
      -1.41227759357299,
      0.488371501775434,
      0.586998225066102,
      0.0695856609307432,
      0.308638864188595,
      -1.21797492224041,
      1.00779000335313,
      0.0712875815233644,
      -0.338818279686343,
      -0.311780250259589,
      0.643454021677154,
      -0.300073010330391,
      0.242633428835273,
      -0.190780604545659,
      -0.648800968606633,
      1.52769567348795,
      -0.558421994043384,
      -0.627874344899085,
      0.419780935512566,
      -0.622336577511173,
      0.810484735549766,
      -0.357759208483637,
      -0.670271937230067,
      0.83571485095312,
      -0.569121478308685,
      0.454850057016186,
      -0.737730293264683,
      -0.0601428124915434,
      0.56101226651056,
      -0.0707120953521683,
      0.810282401803656,
      -1.0257570482928,
      -0.175364893626132,
      0.766399942010736,
      0.0783378010335016,
      -0.129150153080795,
      0.273347834155668,
      -0.681596709621035,
      0.173717172579654,
      0.0400311453394549,
      0.188773151472579,
      -0.183949452529084,
      0.18278330383125,
      0.442693816668772,
      -0.877420823797839,
      0.121297913262365,
      -0.068309387373261,
      0.360207713144213,
      0.106574081794877,
      -0.0662615100774443,
      -0.051785649962059,
      -0.00966963994952317,
      0.508042593577517,
      -0.47949904149642,
      -0.736288109530209,
      0.743514726916574,
      0.00161871335944137,
      -0.161746071106507,
      0.154778537407182,
      -0.589208364830796,
      0.505138839202776,
      0.26804955031883,
      -0.422346922547651,
      -0.00115334597826619,
      -0.756874234419674,
      0.784785385137252,
      0.21950891305659,
      -0.0923620791543883,
      0.0280062192949673,
      -0.122162004129823,
      0.606685406515557,
      -0.260118899925167,
      -0.149929923301544,
      -0.323036820009821,
      0.584543741547133,
      -0.575769635439173,
      0.190685099921075,
      0.353457979346192,
      -0.585431388221559,
      0.506028099754871,
      -0.539238827654974,
      0.12557894194631,
      0.352225828694953,
      -0.0637341838111768,
      -0.13043695639344,
      0.409973667325848,
      -0.512524277296889,
      0.0269574253060075,
      0.0188946878484699,
      0.011148011024276,
      -0.177885529694969,
      0.172140157008698,
      0.0221653752494397,
      -0.0544728134163583,
      0.128264087651015,
      -0.2222426367225,
      0.0616694154305729,
      0.0526015138774934,
      0.0942701789250705,
      -0.0309236205035559,
      0.0348333330580204,
      -0.0552170114691383,
      -0.095315141128439,
      0.0716813624039604,
      0.160756804017882,
      -0.633373344852076,
      0.666408653676535,
      0.0107034857690574,
      -0.227576629187545,
      0.131672066407537,
      -0.0716549023788028,
      0.106814565842205,
      0.131964060461655,
      -0.0685427243120374,
      -0.248582159693758,
      -0.0701423772711565,
      -0.0586275399698867,
      0.292449299133927,
      -0.182678191154638,
      0.155359883317044,
      -0.207923613187485,
      0.351558695892087,
      -0.212360361350606,
      -0.572223560312401,
      0.467682945989511,
      0.0634393193965624,
      0.324835150773634,
      -0.41058442508902,
      -0.338432950843319,
      0.497823758898903,
      0.334067896979111,
      -0.0078666697209848,
      0.171867570416924,
      -0.57664244862541,
      0.262084538847004,
      -0.128197874924152,
      -0.195394884203393,
      0.577714999768124,
      -0.119186376076083,
      -0.219835110980826,
      0.104641659876268,
      0.00185537962288312,
      -0.866101887596863,
      0.979932925349602,
      -0.220642189642016,
      -0.276481385990689,
      0.410237214872222,
      -0.536445161185722,
      0.750489886165433,
      -0.365261389573558,
      -0.86682022214896,
      0.540732987764523,
      -0.255862587892501,
      0.478430159254764,
      -0.00658272574380278,
      -0.656615551435018,
      0.13196812777916,
      0.590437126930346,
      0.459285219434822,
      -0.585087758060337,
      -0.711654459468831,
      0.912279297061312,
      -0.477007251847163,
      0.211804744348634,
      -0.093393609256274,
      0.303165659438228,
      -0.105042565169425,
      0.332826617140686,
      -0.468545656213105,
      -0.270276399939255,
      0.589975882039405,
      -0.136906483682169,
      0.0252707702332523,
      -0.0826985363395936,
      -0.209532404287388,
      0.516442945508468,
      -0.334243007086102,
      -0.109847353339882,
      0.365727018585849,
      -0.350656272381894,
      0.28784997338508,
      -0.0136863791222861,
      -0.363710728721544,
      0.287133961839908,
      -0.143030518270989,
      0.326733326176727,
      -0.223456797100135,
      -0.630595269300485,
      0.816255242181344,
      -0.297207905392673,
      0.30075695751451,
      0.0644186489131956,
      -0.533973032376987,
      0.429235328290331,
      -0.285843903267811,
      0.229755978880382,
      -0.0113802260790924,
      -0.179310931454114,
      0.249204437722268,
      -0.17811519848539,
      0.00920445264659991,
      -0.035782330611992,
      0.0434062920258059,
      0,
      -0.450201284763377,
      0.129158304151908,
      -0.264472522338742,
      -0.0137096221804923,
      -0.200598640271383,
      0.850646355571742,
      -0.275133451975005,
      -0.185593920994069,
      0.0348572999628339,
      -0.317128017207179,
      0.359871521896545,
      0.153983249027198,
      -0.726848717172587,
      0.272221535501684,
      0.276501775710166,
      0.011553579856995,
      0.192874007023166,
      -0.439397091794093,
      0.0792515053618704,
      -0.203663395790523,
      0.311337680490823,
      -0.203409408707519,
      0.244279298734624,
      0.194063986179294,
      -0.446248521248027,
      0.0842633516477032,
      0.050019021139727,
      -0.0602322695276725,
      -0.0298181994526896,
      0.323438303088857,
      -0.0861874164632917,
      -0.136213461377834,
      0.485271247857597,
      -0.365125512198642,
      -0.181334414846397,
      -0.517310986629055,
      0.810317744346511,
      0.45775308577011,
      -0.193994885323114,
      -0.077440041175818,
      -0.381126213491587,
      -0.0856246563907335,
      -0.0474373333463441,
      0.056733825028496,
      -0.295872914389779,
      0.145259212874055,
      0.250603496413537,
      0.0400658410545942,
      -0.0435762815437338,
      -0.164305516932192,
      0.121153389782609,
      -0.231072740280553,
      0.118300513735854,
      0.186318764633804,
      0.028908096505338,
      -0.262864552582279,
      -0.0229119061556439,
      0.00458658815922717,
      0.370096065225306,
      -0.0741553511320452,
      -0.345462604427118,
      0.465206867271261,
      -0.0582347246998952,
      -0.236117830803769,
      0.0587666434928306,
      -0.195149257565074,
      0.287907589030597,
      -0.137859211079794,
      0.0818781620319488,
      0.0262018985040224,
      -0.0805461906463913,
      -0.00142423798008522,
      -0.0889941506794636,
      0.0501342298633374,
      -0.172759354146427,
      0.0147179085299145,
      0.0975031734665318,
      -0.115419523997018,
      0.284889992134394,
      -0.119575691714594,
      0.0695949294610617,
      0.298923676960754,
      -0.0709364315872806,
      -0.291323980792464,
      0.169959971525068,
      0.0109017507963516,
      0.0830694900408708,
      0.177300125610396,
      -0.418057297945717,
      0.416685905874999,
      -0.55061346179196,
      0.461152483332949,
      0.080243476936465,
      -0.238680633125597,
      0.378786206987905,
      0.199682455291351,
      -1.34336348380075,
      1.03700243828933,
      -0.594708799756615,
      0.236135772774819,
      0.0722993826718505,
      -0.50026063558729,
      1.12440452868018,
      -0.835324181788851,
      -0.00650246972362852,
      0.0260436458749579,
      -0.028907500562123,
      0.539910697175629,
      -0.399961879713888,
      0.163311661987194,
      -1.0351803737252,
      1.46099023011515,
      -0.336638861113297,
      -0.00109117192089936,
      -0.302922615194333,
      -0.15859660378652,
      0.511803580223294,
      -0.0428569159206371,
      -0.226149280988084,
      -0.132995135775619,
      -0.154074444933287,
      0.861015628145972,
      -0.701854664044058,
      0.0335580252631425,
      0.603182576555589,
      -0.264330513872888,
      -0.39265029651066,
      0.238325915957755,
      -0.342638943044359,
      0.403296013018106,
      0.166501982314487,
      -0.17733377029584,
      -0.120246267590134,
      -0.393879939937118,
      0.468358103848091,
      0.0934067071256259,
      -0.563148740020993,
      0.357520866007564,
      0.0976181582148039,
      -0.207878744652411,
      0.366176594075151,
      0.0243957474070281,
      -0.802883332878683,
      0.504811755363945,
      0.140919996918611,
      -0.0936353796409441,
      -0.00411453494805569,
      -0.287934101645882,
      0.449258990368303,
      0.0657388019526157,
      -0.12228261093066,
      -0.0089600128635377,
      -0.0648777502202151,
      0.0042580102635765,
      -0.579115581215876,
      0.802239142487215,
      -0.500184353523302,
      0.130836597998817,
      0.520207776915555,
      -0.362034295984369,
      -0.377936389893641,
      0.625704801366406,
      -0.689594075851489,
      0.38192732869124,
      -0.171216501919307,
      -0.152459236652068,
      0.242732085422546,
      -0.181725561552541,
      0.231677202112904,
      -0.141543129390428,
      -0.100659948891986,
      0.3320576312328,
      0.133939168961755,
      -0.596384130754715,
      -0.00104104652964947,
      0.0808514457701146,
      0.0452444680363835,
      0.281271323492598,
      -0.233609432816567,
      0.18377161504439,
      0.124729476386357,
      -0.386142459725776,
      0.584063989910668,
      -0.344054152253868,
      -0.0626418643297433,
      -0.0221949048943202,
      -0.0607597376644346,
      0.303040323875053,
      -0.32397338541241,
      0.466515427977373,
      -0.00423288588491301,
      -0.634737029193871,
      -0.115185495459469,
      0.642265103871845,
      -0.020142732380318,
      -0.362613824482118,
      0.39039389499018,
      -0.103433836590892,
      -0.0388894092538507,
      0.174594367706984,
      -0.202055579227626,
      -0.0166100062712438,
      0.0309009380871403,
      0.0172936435462161,
      -0.260864949268421,
      -0.0668357497432539,
      0.457407810462645,
      -0.444421567035454,
      0.0597617954260329,
      0.0526369444638624,
      -0.0714943094550796,
      0.190399132718343,
      -0.341400895033507,
      0.238601292939757,
      -0.182093415424186,
      0.149692102576972,
      0.421641420642779,
      -0.57036815734022,
      0.381275039807899,
      -0.240102148301382,
      -0.127008919733795,
      0.455578900225245,
      0.0231635454958008,
      -0.237742218902247,
      -0.0385929433028553,
      -0.0103604523022735,
      -0.00941169208293777,
      0.0321559404320186,
      0.0593990152612015,
      0.291955419249368,
      -0.229456878300323,
      -0.161316185420656,
      0.183970789335782,
      0.132403507435092,
      -0.0826285624931668,
      0.3679625229701,
      -0.589846761414743,
      0.223573280750865,
      -0.292384352770213,
      -0.0313431744443403,
      -0.298265475636554,
      0.385682446392403,
      0.0841801137746059,
      -0.487362676621636,
      1.04983643382237,
      -0.980268195908727,
      0.556367392265639,
      0.0584943734026841,
      -0.315300551149671,
      0.392726233202572,
      -0.55021762360884,
      0.212912051704348,
      -0.0729132539004701,
      0.358228300703178,
      0.125506296016395,
      -0.452825691068549,
      -0.14771581776015,
      0.542690308981225,
      0.0558967249109429,
      -1.05834457914453,
      0.715858956306954,
      -0.197783217553014,
      0.524957027362321,
      -0.612075025985106,
      0.706800494325615,
      -0.824224376099187,
      0.522908439941289,
      0.104687420906053,
      -0.494210018955902,
      0.711359898204763,
      -0.537462448331746,
      0.042070163184799,
      -0.572445498890501,
      1.00882026819296,
      0.377000709024391,
      -0.997805021857721,
      0.741751850817051,
      -0.777031506784303,
      0.658638494660686,
      -0.119721956108001,
      -0.0654517700350798,
      0.452922151862023,
      -0.617952052523849,
      -0.0444165591745545,
      0.239506651640108,
      0.0229103529610268,
      0.412897152160165,
      -0.603371947416416,
      -0.129909776739364,
      0.328501448800005,
      0.244863121643633,
      -0.953024940831152,
      0.256924369342501,
      0.00301042645417122,
      0.089167286298397,
      -0.0645450229847548,
      0.0686037562686529,
      -0.70381266912351,
      0.590184472732527,
      -0.0932388715945213,
      0.343707415641466,
      -0.0358258277370279,
      -0.920728621516177,
      0.902531814787518,
      -0.375825004072007,
      0.40170453807616,
      0.323283151265261,
      -0.778535423563167,
      0.199400621742265,
      0.628726382959913,
      -0.281766548553895,
      0.0402028440636904,
      -0.173636945715914,
      0.275534682728034,
      -0.126537914243123,
      -0.151274775357514,
      -0.0591618155252561,
      0.056608375789257,
      0.362557742258966,
      -0.59974825966404,
      0.612610638886906,
      0.126966483465748,
      -0.0171234054554441,
      -0.365693719571312,
      -0.214972368432076,
      0.0721175448820916,
      0.467530789856111,
      -0.528515480055741,
      -0.336369050948626,
      0.381131288033193,
      0.196877891899396,
      0.117762091121788,
      -0.229554998570012,
      -0.300318378213971,
      -0.0883731169731085,
      0.437290665121997,
      -0.450047170317658,
      0.551226984406116,
      -0.0423649030899898,
      -0.143976174971951,
      0.182222082059371,
      -0.285774120152524,
      0.243779382046944,
      -0.218391918087171,
      0.210553432045894,
      0.329484996254441,
      -0.490785119774049,
      0.384719904800038,
      0.0391825844506978,
      -0.322523746743303,
      -0.399196356013476,
      0.489112894115899,
      0.19796960046069,
      0.304029242584419,
      -0.633058616388336,
      0.353090716271028,
      -0.564858122835801,
      0.192821067247239,
      0.135227285848199,
      -0.224448565092181,
      -0.0728089609468699,
      -0.0315260143797146,
      0.240295454544228,
      -0.065459510066837,
      -0.0356912162864343,
      0.191883230429196,
      -0.579676846209725,
      0.425193062386086,
      0.159884497919833,
      0.124645243513753,
      -0.385637777968593,
      0.0421488741514483,
      -0.146614893103418,
      0.413302286271924,
      0.0287238890861835,
      -0.43056624691999,
      0.481875724300257,
      -0.16048970892233,
      -0.0240439124359505,
      -0.0920935470918151,
      -0.215354650777875,
      0.398897019062126,
      -0.169930894002125,
      0.112207629051972,
      -0.0448184930924794,
      -0.0337695708648542,
      0.0360178548286819,
      -0.135666246054906,
      0.0223128103139212,
      -0.109002771786895,
      -0.0379629664978407,
      0.163095289322163,
      0.043856263973467,
      -0.195146294989623,
      0.198338875006019,
      -0.382175948591977,
      0.847254656922898,
      -0.864217812186542,
      0.629431950785812,
      -0.0693300030659068,
      -0.698424248224332,
      1.02594978002016,
      -0.311065180417315,
      -0.124826458188092,
      0.69163803507317,
      -0.875812047520689,
      -0.0199829265987224,
      0.694260318580772,
      -0.479952858017897,
      -0.100404168165485,
      -0.119693271257724,
      0.0810476895280324,
      0.0634096735291696,
      0.296958880884487,
      -0.222709592427727,
      0.193466731018678,
      -0.521596475309848,
      0.534724832050967,
      -0.500158260915013,
      0.0550508222640166,
      0.074188449090194,
      0.00647506207475876,
      0.23174674731022,
      -0.246408930629863,
      -0.12684086996176,
      -0.107922528207298,
      0.262445732103479,
      -0.243661832150717,
      1.11585065970244,
      -1.07897766036292,
      -0.0691164034101554,
      0.400625811467453,
      0.105845760561732,
      -0.041620199406098,
      0.100666023747443,
      -0.427331506252672,
      0.177684991953674,
      0.0958498490510122,
      -0.121488745179277,
      -0.103549962358572,
      0.296271756182344,
      -0.142570339731149,
      0.191041655545787,
      -0.0964277590667039,
      -0.263724618617398,
      0.31223029666498,
      -0.215649872256851,
      0.0891889323096564,
      0.508167479204397,
      -0.55002821620988,
      0.303644334043356,
      -0.0476017881574407,
      -0.789031576927658,
      0.628159566595143,
      -0.285589938507415,
      0.419307652437446,
      -0.216195931457198,
      -0.14877895558071,
      0.697152819907219,
      -0.665802247929464,
      0.223981121890233,
      -0.281114216837733,
      0.268655534050083,
      0.0563162686880196,
      -0.148953882808675,
      -0.0245218125704137,
      -0.0170472390991887,
      0.0753983263079185,
      0.104646552780508,
      -0.128972965937636,
      0.00793344629639546,
      -0.0310877750940492,
      0.0362233144449669,
      0,
      0.0775358421225734,
      -0.156273646352757,
      0.239220276738641,
      0.290473383086373,
      -0.316793009059858,
      0.0507934986268282,
      -0.202824676483889,
      0.210017303580876,
      -0.0316606134675476,
      -0.215780785142913,
      0.284223343244757,
      0.323522341352752,
      -0.733153457385997,
      0.158912732586923,
      0.00392277904517941,
      -0.107417311135719,
      0.714842288002788,
      -0.767780790052307,
      0.750676303170433,
      -0.662632309375824,
      0.369692418230152,
      -0.0895053580601393,
      -0.217590467315569,
      0.262240690244027,
      0.135233026922248,
      0.0557966548280199,
      -0.343233506565237,
      0.0337071419511612,
      -0.0299353953881099,
      0.490874372261771,
      -0.99617803378263,
      0.407243341309666,
      0.644716658651929,
      -0.592253001334298,
      0.159023270767213,
      -0.478877137818163,
      0.555196886826089,
      0.215658554232465,
      -0.127226705816719,
      0.0702714146785593,
      0.0110909825126152,
      -0.535371549906078,
      -0.00354105300547458,
      0.382692364928541,
      -0.149951003432038,
      -0.119553349834066,
      -0.138672459400341,
      0.322281912906766,
      0.0317858869180465,
      -0.0476898773657647,
      -0.20721155499928,
      -0.110176419456391,
      0.212526863762763,
      0.00924692314193889,
      0.00840772218116773,
      -0.151205111817638,
      0.014480641796205,
      0.181310381342179,
      0.184242217115568,
      -0.0897695793459141,
      -0.362442177232799,
      0.651699225082217,
      -0.177319738355431,
      -0.244223679575519,
      0.21247978189846,
      -0.191889884250958,
      0.171163488073069,
      0.0587018287226221,
      -0.0945690230072545,
      -0.0870399633503927,
      -0.0412247751583979,
      0.0661016695763901,
      -0.286669709485434,
      0.248096965480549,
      -0.117348450786645,
      0.0553233631407833,
      0.261064678590974,
      -0.350841331617914,
      -0.00551909968815163,
      0.0985568418586474,
      0.323334125256885,
      -0.392584789605675,
      0.0804877381678778,
      -0.686076232225279,
      0.746396030238104,
      0.172032779326433,
      -0.312759246955588,
      0.13193129743407,
      0.0571054969966729,
      0.0414781561993693,
      -0.0813532399485337,
      -0.145855189494549,
      0.507807852834823,
      0.0834994902502486,
      -0.237712936149176,
      0.489184094010439,
      -0.665173953889524,
      0.289579195067485,
      0.192489103160583,
      -0.496185337049981,
      -0.564812024798995,
      -0.0387900922744163,
      0.448141203256455,
      0.15800129857397,
      0.225748820806832,
      -1.39805367984236,
      1.48501924189444,
      -0.288794637776769,
      -0.195193788547611,
      -0.00518303882104492,
      -0.495674324594804,
      0.792183391022652,
      -0.423527939637501,
      0.341869106204248,
      -0.551704815791042,
      0.0500330186835321,
      0.637439259844392,
      -0.373192237888176,
      0.255023563998237,
      -0.295819268936835,
      0.127206315448442,
      -0.186793481189439,
      0.228506674221294,
      -0.0990393764171488,
      0.588575922095515,
      -0.167040973375101,
      -0.4726832951917,
      0.0492761272200688,
      0.332293078263685,
      -0.473462485910693,
      0.764314001512333,
      -0.283336776426644,
      -0.365919546026927,
      0.215417339978589,
      -0.235231732989315,
      0.540760424486945,
      -0.112579905522699,
      -0.79221573154177,
      0.611254327670086,
      -0.266638589874991,
      0.692292867961291,
      -0.267811994298139,
      -0.778919357872416,
      0.734418683018224,
      -0.171484433942006,
      0.237716334612681,
      -0.23339975179573,
      -0.420321750113919,
      0.400493823923376,
      0.0338038152185223,
      -0.0491240493812553,
      0.182152836119849,
      -0.0123709486680569,
      -0.118755395877919,
      0.243966115703313,
      -0.0762721433304002,
      -0.557441033522901,
      0.609757548861029,
      0.131423174175655,
      -0.215194453481078,
      -0.323851349412852,
      -0.0923406737311943,
      0.770399684838265,
      -0.471929771538499,
      -0.180096204901776,
      0.0545969866490436,
      0.00684409333506248,
      0.517406809881511,
      -1.11516137112836,
      0.0848857078433397,
      0.587921081067709,
      0.160735445394764,
      0.00765301506345449,
      -0.124249108577187,
      -0.862178263408798,
      0.774733241742054,
      0.107055740586204,
      -0.310808483544112,
      0.0998856105275305,
      -0.15697856394677,
      0.31332482678006,
      -0.0670221598199722,
      -0.167368339705445,
      0.539789113673666,
      -0.218185380597995,
      -0.0473776815584641,
      -0.0597921401837976,
      0.116400774763091,
      0.26676374243759,
      0.0835648837414917,
      -0.69126494311037,
      0.268298067078873,
      0.106254787366836,
      -0.117789775023406,
      0.470933691808831,
      -0.868995590006503,
      0.291178042018146,
      -0.00164240090992947,
      0.0758182864045027,
      0.318206882496609,
      -0.2560529845478,
      -0.386789976060911,
      0.349431129989585,
      -0.0165020590386276,
      -0.0944930787589502,
      -0.0385368058689217,
      -0.232067494409968,
      0.275074526634572,
      -0.0350850000640493,
      -0.0245724021922462,
      0.109580339255717,
      -0.272101327634008,
      0.331521624080329,
      0.116414549580891,
      -0.21646674204659,
      0.117151013074737,
      0.312335643843849,
      -0.0539226189713265,
      -0.34060839523886,
      0.0956463863761708,
      -0.301812754700517,
      0.436015021366406,
      0.187818724733526,
      -0.581310780211933,
      0.112936454252595,
      0.23927060020212,
      -0.205792114877377,
      0.281962600464698,
      -0.291319331053677,
      0.0704320322244194,
      0.103084672447436,
      0.0415619602722842,
      -0.250172503456759,
      -0.325768504873612,
      0.715800620930545,
      -0.556589235323975,
      0.286682096723892,
      -0.116717342536099,
      -0.0202744522659207,
      -0.0869710416423986,
      0.295239227691648,
      0.349746723450357,
      -0.630090133914586,
      0.435924641493896,
      -0.195535850856665,
      -0.00681175874893584,
      0.150811603663923,
      -0.155028495359061,
      0.0204032914688209,
      -0.589288884700048,
      0.300297400406001,
      0.853998535212268,
      -0.458560732232044,
      0.35617683706063,
      -0.566094062867879,
      0.429126180569539,
      -0.170403767564966,
      -0.569490388518594,
      0.683272463134067,
      -0.557015286297357,
      0.046479002103672,
      0.268574579152356,
      -0.205133872392647,
      0.0827199192178985,
      -0.326512468033456,
      -0.236811873871245,
      0.743864328180647,
      -0.22604359570241,
      -0.031185489379226,
      -0.345449191812006,
      0.168537640724407,
      -0.784214808140865,
      1.35232402818911,
      -0.23069554091565,
      0.0541674699022485,
      -0.493727175020771,
      0.56410282865491,
      0.303475119903873,
      -0.505013647227292,
      -0.443978336880796,
      0.680089050793142,
      -0.0426009623698111,
      0.261584228485796,
      -0.558129299141457,
      0.192738416034438,
      0.280057268099394,
      0.150498720377781,
      -0.662900742093464,
      -0.159731116552243,
      0.327565489552007,
      -0.261441449737343,
      0.265366893566938,
      -0.161306518310249,
      0.0398950697993048,
      0.110917004738092,
      0.0316430175968523,
      -0.340970842381261,
      -0.265602405824825,
      0.462853036630794,
      -0.427852916120737,
      0.570550468324147,
      -0.426912609725086,
      -0.196011827354721,
      0.67793893830082,
      0.0992705659106202,
      0.205493352325598,
      -0.184786713994816,
      -0.667241931256341,
      0.842517887572993,
      -0.670576646435422,
      0.240679278902476,
      -0.123015097533439,
      0.28723300766515,
      0.235260391385745,
      -0.0153135056246183,
      -0.347288903532875,
      -0.0543322408595128,
      0.369568722704656,
      0.00847651109637751,
      -0.255384884075973,
      0.225687039751741,
      -0.816788715184082,
      0.989070346037616,
      -0.450415946921983,
      -0.370270872444468,
      0.454651851524892,
      0.249815258973433,
      -0.176910504992665,
      0.0892688184645158,
      -1.24357019409546,
      0.72466080937517,
      0.681730182140427,
      -0.516543146409164,
      0.569225211284348,
      -1.24621151365513,
      0.917448752541581,
      0.181682181949518,
      -0.209407031779696,
      0.0203731534158637,
      -0.147885839824273,
      0.44105877004584,
      -0.287965670379949,
      0.00176862683015566,
      -0.27951609281585,
      0.577029426482692,
      -0.537087992797397,
      0.0447176911668503,
      0.593187372343325,
      -0.762622443170998,
      0.762633109581387,
      -0.801539463925021,
      0.36282792666579,
      0.322731965117081,
      -0.435190005917485,
      0.142116134349786,
      0.19316210810402,
      -0.432892538894917,
      0.0409493407288158,
      0.255706857307131,
      -0.0483852989397564,
      -0.367360539352558,
      0.259075903853415,
      -0.0210246731787738,
      0.155091501176823,
      -0.228653428230413,
      0.0497536822666966,
      -0.0866312615987088,
      0.196417636041648,
      -0.145447659764404,
      0.0340913725780707,
      -0.0159602224651053,
      -0.113063241171727,
      0.26191643214516,
      0.0798442008582643,
      -0.0491959906008738,
      -0.357377589830323,
      0.596088999009773,
      -0.214728909272378,
      -0.234851682951391,
      0.203074137664214,
      -0.170210511241199,
      0.142640074236833,
      0.144721133306459,
      -0.180064377450716,
      -0.103226870577239,
      -0.0275976804195117,
      0.129118888118454,
      -0.336913953733652,
      0.268606609171877,
      -0.058613452195232,
      0.0231594787646578,
      0.241956406879404,
      -0.198950127811229,
      -0.409652937364096,
      0.430511204376861,
      0.0291369386232276,
      0.131824013092732,
      -0.515249575839887,
      0.094579154182008,
      0.126100103436952,
      0.3417480954585,
      0.00885664037080583,
      -0.188382790016308,
      -0.173426373548999,
      0.251791549473973,
      -0.182561252339261,
      -0.0348754920744363,
      0.226296549112867,
      0.291639378945909,
      -0.425622073159448,
      0.182604513119336,
      -0.0289035553967827,
      -0.0267286148235161,
      0.350058442775125,
      -0.191806432721957,
      -0.570184202819387,
      0.405944888740082,
      -0.425453004579628,
      0.481331981476863,
      -0.157369211806926,
      -0.614913033919877,
      0.599102101931453,
      -0.215609989504218,
      0.38340541553438,
      -0.310018580369224,
      -0.312882560011485,
      0.399371440496205,
      -0.0951696400895058,
      0.147051750659109,
      -0.137302901836757,
      -0.463489655903621,
      0.63817435981543,
      0.0674875227730271,
      -0.207749944005122,
      0.0984204447624134,
      -0.128390442096845,
      0.0242307573950163,
      0.158208266878967,
      -0.165281865214815,
      -0.105206716493373,
      0.415890534779275,
      -0.169756524535219,
      -0.0708682659047091,
      0.186491135745312,
      -0.289318742286804,
      0.61734932377711,
      -0.531162566260193,
      -0.0295863145279017,
      0.0335958884762419,
      -0.110902526507846,
      0.273878713497711,
      0.0652999657911821,
      -0.811215038052136,
      0.611445899994881,
      -0.127332407701128,
      0.0210820117491583,
      0.0418930969114498,
      -0.364255272539645,
      0.688670221898943,
      -0.288140502439078,
      0.101452308999013,
      -0.0287489283669102,
      -0.488623374444105,
      0.508051284352847,
      -0.0842281125893611,
      0.0510159714229271,
      0.115221125830784,
      -0.0474892050968905,
      0.00910097125065588,
      -0.0874216919198327,
      0.00774257102269195,
      -0.0260148070364761,
      0.0289656528536617,
      0,
      -0.599817223025502,
      -0.229074787542504,
      0.220300603059575,
      0.152861818621102,
      -0.435706215209364,
      0.732978718830817,
      -0.369103356478398,
      -0.0695562427800467,
      0.0316566327258871,
      0.231528862872824,
      -0.343989147066941,
      0.639379690370495,
      -0.21775352464265,
      -0.611130934623428,
      0.157846420098652,
      0.440920136153765,
      -0.306416553356795,
      -0.488159239069503,
      0.847382533055692,
      -0.435387034389826,
      0.126894794590236,
      0.192857341935175,
      -0.140161827330535,
      0.105655342402372,
      -0.138636940411712,
      0.306153315566039,
      -0.439572209714497,
      0.0606432496235798,
      0.0748927393029814,
      -0.174750078178041,
      -0.225944755360482,
      0.69656452572988,
      -0.54965311646022,
      0.262816935316217,
      -0.231434952939375,
      -0.133355904304738,
      0.537565972542491,
      0.0818240961860824,
      -0.348667817956307,
      -0.146880388359898,
      0.411499525608876,
      -0.348041766455176,
      0.102598819338603,
      0.287967198057757,
      -0.332388402420297,
      0.0211643161097595,
      0.210318534835732,
      -0.276510167061665,
      0.0946449652273996,
      -0.16495373162634,
      -0.0556086913766236,
      0.548271517970042,
      -0.325235212553718,
      0.0617665609449316,
      -0.0338573071201538,
      -0.253776800580817,
      0.593256854211326,
      -0.409790636975437,
      -0.0912906960661329,
      0.0482139909558974,
      -0.151164176009477,
      0.503483141723101,
      0.16865736800824,
      -0.477877783427814,
      0.363426713963487,
      -0.569364383333342,
      0.358577993295272,
      0.501960327541602,
      -0.710974770967899,
      0.247231852249301,
      -0.100577312443141,
      -0.0828387965222319,
      0.251865974137417,
      -0.238872708674906,
      -0.194393495689078,
      0.281453783949161,
      0.0441140788789848,
      -0.173567721057098,
      0.348663567504481,
      -0.302301728395287,
      -0.341118532128916,
      0.967813768594842,
      -0.527632735927543,
      -0.226411612994486,
      0.258263170237575,
      -0.0189999545505079,
      0.524311458897693,
      -0.356202129879733,
      -0.0475408165478495,
      0.384074833606696,
      -0.614141618108495,
      -0.0695713806948373,
      0.1377847704354,
      -0.0470523489266685,
      0.346984292820197,
      0.219146150673788,
      -0.998222010908153,
      0.527793039606725,
      -0.293955842475065,
      0.420026546566576,
      -0.0541210035673896,
      -0.560098149022892,
      0.534471184756821,
      0.0630664330085562,
      -0.0385725179292713,
      -0.40847136039377,
      0.411859811265595,
      -0.328460405546764,
      0.276328324102414,
      0.0780986642333032,
      -0.720693572270166,
      0.75780187898902,
      0.0629888233748825,
      -0.127992653682329,
      -0.104024711790826,
      -0.026440039272795,
      0.663839327460428,
      -0.360980993222452,
      -0.27625547333941,
      0.1132930956866,
      0.0169397566304115,
      -0.0932539075647374,
      -0.144793393653894,
      0.145560362366716,
      0.437331924094511,
      -0.424788826771477,
      -0.134624669656546,
      0.439686975640647,
      -0.546496095239856,
      0.0443245345796358,
      0.082748212353973,
      -0.0294332580635062,
      -0.147002155054636,
      0.156624628901875,
      0.21299992220871,
      -0.326535183201882,
      -0.0733840583426769,
      0.110469713204907,
      -0.0510033863643246,
      0.307874547354557,
      -0.00586893922142045,
      -0.102754395797836,
      -0.552513744243473,
      0.131785609317455,
      0.158501895124068,
      0.469573937933591,
      -0.236082811109157,
      0.170102470551697,
      -0.459233387369351,
      0.558889171758127,
      -0.260312396446602,
      -0.169436322584492,
      0.490747987151629,
      -0.206297287951191,
      -0.57585138386688,
      0.999765511260455,
      -0.689858411771078,
      -0.0328892369152837,
      0.815010886952978,
      -0.489611930781584,
      -0.39130242341868,
      0.429342663001618,
      -0.614309036583742,
      0.453531672520556,
      0.00119756894456886,
      -0.124394963553808,
      0.207402525128562,
      -0.504935652151373,
      0.0454116592857074,
      0.01649821088487,
      0.503524486528662,
      -0.0863847147494756,
      0.0507223891965934,
      -0.0519422334115903,
      -0.480475124961649,
      0.488489616869635,
      -0.445137518219841,
      0.30944918989331,
      -0.213710402158181,
      0.723217724906059,
      -0.154338787479044,
      -0.247311821699561,
      0.107350941344681,
      -0.396180903525705,
      0.487455659274257,
      -0.284913693163829,
      0.0707743458108685,
      -0.0336466131840701,
      -0.0653846089713877,
      0.197373791808489,
      -0.305041630907739,
      0.56457360025005,
      -0.867070260272078,
      0.528531672101461,
      -0.237923323122983,
      -0.190403600682916,
      0.446857353586241,
      -0.0962868113035556,
      -0.111514321360164,
      -0.15672586648411,
      0.2311620791963,
      -0.214461113164419,
      0.268177450841997,
      0.0216736257245869,
      -0.217729588934583,
      0.285020259257688,
      0.250264552332818,
      -0.283804219174842,
      -0.116961914922122,
      -0.00316272529554213,
      0.179353949731119,
      0.282632099503817,
      -0.388009175538841,
      0.0906782323586597,
      -0.243162512658457,
      0.23752614432638,
      0.197887899475507,
      -0.148058965781391,
      -0.241799298459491,
      -0.156582573545348,
      0.138195217779871,
      0.0846915708216437,
      0.466580709723147,
      -0.368486620566979,
      -0.184629521857026,
      0.0502620989072711,
      -0.28482782809016,
      0.755078872478518,
      -0.61527159312569,
      0.0634238016417086,
      -0.0349504547336558,
      0.0607645341923083,
      0.139602856897527,
      -0.161863260972537,
      0.15538762787985,
      0.0652933068441947,
      -0.0978756182013892,
      -0.185824305660059,
      0.165190438012492,
      -0.278156946323076,
      0.321453431810791,
      -0.0400037778849573,
      0.0669498191631444,
      -0.0369893755456763,
      -0.223069916968319,
      0.315742571772515,
      -0.31067225283976,
      0.348776245154978,
      0.122544833116992,
      -0.321218240760051,
      0.115907811125948,
      0.0677444828744704,
      -0.137478915776559,
      0.0203427721596431,
      0.301257183004001,
      -1.01714078835853,
      0.672599853666585,
      -0.00486758305764689,
      0.0206597962656157,
      -0.144698893489971,
      -0.0351057242553728,
      -0.050971697779143,
      0.320159320465889,
      -0.410415523390956,
      0.596689479795928,
      -0.519816037341157,
      0.128461255152506,
      -0.0577981977265996,
      0.713367685037838,
      -0.238147229671291,
      -0.1701056179163,
      -0.739860387806689,
      0.544049480407322,
      0.573256087541162,
      -0.378303967421907,
      -0.101232200593892,
      0.249625218890153,
      -0.0632525943468159,
      0.0274217940585075,
      -0.340059014882598,
      0.235273667422436,
      0.225590175115635,
      -0.321961938398832,
      0.435301054622612,
      -0.409159840508623,
      0.0344936148494681,
      0.713937036843247,
      -0.682453364771106,
      0.049421342257459,
      0.107531401620518,
      -0.534373812260971,
      0.779957216192481,
      -0.587879970320236,
      0.0606471178185873,
      -0.166180956157211,
      0.0332122364801434,
      -0.128511790937379,
      -0.121064132392163,
      0.55958633358833,
      -0.51673623325416,
      0.609097837357493,
      -0.348716848654421,
      0.0698556798777532,
      0.171985731595729,
      0.123597627746566,
      -0.654856020431932,
      0.693791467560399,
      -0.0605530718720887,
      -0.595474352363564,
      0.337353777200021,
      0.0546068912774929,
      -0.0375313833411099,
      -0.081231747540653,
      0.429824573708162,
      -0.152637683805985,
      -0.277744372582925,
      0.0819279277008023,
      -0.361285531825044,
      0.456549613488726,
      -0.46635536912925,
      0.468554932724709,
      0.0377664875788112,
      -0.584728165553004,
      0.276021015390273,
      0.14567840048415,
      -0.213123176822854,
      0.441470664400935,
      0.0366952182155814,
      -0.527557812236581,
      0.0942680064571753,
      0.386027217482018,
      -0.344151450407756,
      0.325555153421879,
      0.0645717190081547,
      -0.232929627196878,
      -0.112830232390575,
      0.11722011483143,
      0.577286655248359,
      -0.449221138115405,
      0.214963817535505,
      0.0526609988378008,
      -0.409800156372184,
      0.255254824082684,
      -0.258152141066509,
      0.14314412803425,
      -0.0597362543610686,
      0.468999441636923,
      -0.826919423758945,
      0.339640371034105,
      -0.389350974534102,
      0.280935268325063,
      0.117272297511164,
      -0.19736317523828,
      0.0314412394601668,
      -0.240662064772865,
      0.624441701749469,
      -0.470999736942827,
      0.0324996032231765,
      0.142963277406099,
      -0.141078774780498,
      0.094390514202686,
      -0.00400283330173328,
      -0.0782626799120538,
      0.152005274979958,
      -0.107981065041284,
      -0.204818003413245,
      0.365416520061621,
      -0.118638539678009,
      0.106201121779936,
      0.103519388084073,
      -0.270364315777654,
      0.413044911912124,
      -0.257808457753771,
      -0.102988701301974,
      0.0352142345980684,
      -0.251667505190894,
      0.52078475931387,
      0.145226634794907,
      -0.438760997914076,
      0.29989752382195,
      -0.525691477700433,
      0.412248419666644,
      0.422954657736295,
      -0.707386253048875,
      0.22666892568028,
      -0.0665000071195027,
      -0.110233910296702,
      0.252237677027018,
      -0.203942583900793,
      -0.171920679617698,
      0.261984929560964,
      0.00789847686132844,
      -0.0399502722660838,
      0.0508458650542638,
      -0.0422986389765666,
      -0.0583482271931,
      0.752618285041704,
      -0.744881536099269,
      0.326023532701166,
      -0.496544242781151,
      0.364615759738839,
      0.467303860253305,
      -0.362857249043537,
      0.171933524150879,
      -0.0557734362331665,
      -0.352767896895181,
      0.227368475496601,
      0.0432980999459196,
      -0.225906084644629,
      0.238411287436935,
      0.0161481388637533,
      -0.586051947535536,
      0.201218984890991,
      0.0789254011357206,
      0.370049932579114,
      -0.322901654345442,
      -0.0540622389091281,
      -0.152361550160101,
      -0.275971853441873,
      0.372519680692152,
      -0.288534105026407,
      0.380519994659934,
      -0.403440404273019,
      0.333109310579359,
      -0.0534977665583161,
      -0.245156755379866,
      0.0887021948251389,
      -0.213725569243865,
      0.359776328661775,
      0.248505761590049,
      -0.0520158655967111,
      -0.329776437313844,
      0.292390799053178,
      -0.091639037614179,
      -0.16138806787935,
      0.454391168897717,
      -0.616961419321537,
      0.297088721145799,
      0.181785107924522,
      -0.210798568308205,
      -0.0332127901822573,
      0.0907676786314598,
      -0.107599733686646,
      0.235906476287886,
      -0.341625061649224,
      0.121949276673127,
      0.0401413821016386,
      -0.367381608871225,
      0.611224616684769,
      -0.296522002276754,
      -0.211967089002113,
      0.512607373887724,
      -0.362443400073117,
      0.235849572856645,
      -0.121192279458492,
      -0.034728374575718,
      0.430401322260512,
      -0.277333712027553,
      0.340989411785852,
      -0.473215491028661,
      0.084246817625234,
      -0.0145085170740865,
      0.433846722678084,
      -0.224380575119777,
      -0.265641994863012,
      0.145617262513645,
      -0.0605280298636221,
      0.0932472236329294,
      -0.0564253683094083,
      -0.0562583584315909,
      0.00783824591259377,
      -0.0207409519152874,
      0.0218078759637015,
      0,
      -0.509231171511698,
      -0.00441422095893571,
      0.148683479422094,
      -0.0540462033836061,
      0.0927978205510103,
      0.0186421921158567,
      0.241463622568762,
      -0.542782737994252,
      0.00518841336524446,
      -0.0579061511024411,
      0.217528833974803,
      0.160952130559515,
      -0.179489150672884,
      0.385795477409617,
      -0.526188084408544,
      -0.162485788216613,
      0.774211205400554,
      -0.24457281300229,
      -0.343465983734194,
      0.127875920340093,
      -0.0780631925091726,
      -0.0172214766433951,
      0.226369044088186,
      -0.120754280596292,
      -0.126028017638351,
      0.215547073720256,
      -0.22943318252904,
      0.0161335942674704,
      0.572198302305406,
      -0.150154459451562,
      -0.531884892704631,
      0.417483219607067,
      -0.164324524076218,
      -0.00873941043793769,
      -0.0233650180464338,
      0.180409308268441,
      -0.112676702247256,
      -0.399354470900688,
      0.268156035362264,
      0.0949808008359539,
      0.0414877639861476,
      -0.0740705966595189,
      -0.0232952079426706,
      0.194429863723991,
      -0.165173449174454,
      -0.0216412781502256,
      -0.137434832656498,
      0.109331328989132,
      -0.146142334656431,
      0.126645296023146,
      -0.199510993976687,
      0.110273445728318,
      0.0965439193247382,
      0.125695262280481,
      0.0796144122470556,
      -0.304005414896402,
      -0.0218117174241366,
      0.208425228309301,
      -0.153402664264076,
      0.13941139881691,
      -0.0422875681757264,
      0.145962709421778,
      -0.0613872613462791,
      -0.151788930530887,
      0.113453574514188,
      -0.133191732570315,
      0.366933474690725,
      -0.120805765061084,
      -0.171958961618035,
      0.17440550126528,
      -0.00445209562688096,
      0.0543285996251355,
      -0.321585478259036,
      0.0871950658382344,
      -0.202892331852139,
      0.0113516181206342,
      0.253462614323144,
      -0.071899389664691,
      0.140029918625167,
      -0.0135552238740163,
      0.0354783441983008,
      -0.231942561605876,
      0.151728833833349,
      -0.261298801554121,
      -0.0502798719058492,
      0.477273178983919,
      -0.368127548432428,
      0.362187360158003,
      -0.0743455585964944,
      0.0485792925706871,
      0.098894108995225,
      -0.377377889690541,
      -0.181722423970985,
      0.582909645965213,
      -0.511815904489594,
      0.537148922965656,
      -0.163367361674685,
      -0.148975058987555,
      0.369874414210494,
      -0.490691249109008,
      -0.0991633618592215,
      0.719751099532751,
      -0.746932483415459,
      0.527737477799662,
      -0.084099625585965,
      -0.251225718637915,
      0.525955615582,
      -0.658468031489625,
      0.206107578379475,
      0.14358283544047,
      -0.495866197964402,
      0.0918293355906842,
      0.350292376534883,
      -0.279968407130239,
      0.216169670990829,
      -0.493676457558588,
      0.0609823239395469,
      0.589192356312828,
      -0.374947639271685,
      0.339247694759553,
      -0.197374061771697,
      -0.340108486146277,
      0.484699752038155,
      -0.247294758232333,
      0.130711389213052,
      0.153179569652333,
      -0.440057700463299,
      0.184247144380852,
      0.123307201062245,
      -0.366477518017556,
      0.596025996388836,
      -0.0825831522406857,
      -0.213399131990098,
      0.258139324756888,
      -0.402953654162559,
      0.425836518450524,
      0.146424567143643,
      -0.817273580158929,
      0.627955861977327,
      -0.187913386359907,
      -0.0189135473755224,
      -0.388222449263768,
      0.112807298654611,
      0.135671584775482,
      0.0742137361608904,
      0.31051796543764,
      -0.214240463313043,
      0.0729318822118084,
      -0.224017240428426,
      -0.0856614404506825,
      0.0703167538537764,
      0.320940304278797,
      -0.105143816585151,
      -0.0350852740116708,
      -0.280884694729135,
      0.33627240612488,
      -0.124978197373057,
      0.135382085708494,
      0.127897041767319,
      -0.184029400179994,
      0.0356284925601562,
      -0.120913157523025,
      -0.105962102208964,
      0.236196440209034,
      -0.0495062508102825,
      0.210558408899464,
      -0.312582662869952,
      0.279503223625359,
      -0.0308415101542752,
      -0.616990786413741,
      0.539808339730423,
      0.0674208766855566,
      -0.361943582318669,
      0.333260069109281,
      -0.436781055704838,
      0.181923592299073,
      0.48751158934454,
      -0.481789458199112,
      0.0264483440079551,
      -0.226655129331299,
      0.323487314747488,
      -0.0783760046250917,
      -0.0623698014975788,
      0.0222092559748949,
      0.232292808870681,
      -0.0798832317444868,
      -0.210568955273047,
      0.167210010223308,
      -0.165910715909622,
      0.370976773445968,
      -0.309366886370246,
      0.162597631445581,
      0.174527986934101,
      -0.29439151855032,
      0.396945981718992,
      -0.383349139543937,
      -0.0552340646779293,
      0.172419833784228,
      -0.0118524033379496,
      0.131765272362955,
      0.00416649947240084,
      -0.282737923147721,
      0.0692994182699448,
      -0.0727788016181933,
      0.00494579420366335,
      0.273037711246057,
      -0.400450847793409,
      0.257706676759657,
      -0.0907085033288874,
      -0.00565704523334866,
      0.0240878441663912,
      -0.150258320167964,
      0.206947505171358,
      0.117998489604265,
      -0.220996803008688,
      0.32396223740442,
      -0.267668259306899,
      0.173915872738017,
      -0.0591040140337715,
      -0.0587741108838337,
      -0.0105461266314258,
      -0.0322124616136105,
      0.400179120911411,
      -0.541998916442028,
      0.0656539690165771,
      0.117110770652161,
      -0.0522943855367158,
      0.266464388591976,
      -0.172561539722269,
      -0.19312400593752,
      0.00219373652611375,
      0.184230706480682,
      0.133733193998003,
      -0.230908094665054,
      0.249068500388638,
      -0.613867987281764,
      0.455923980260316,
      0.00276156348590844,
      -0.294379451444211,
      0.498127610025702,
      -0.181935805337606,
      0.0595284310100562,
      -0.0292702094709513,
      -0.162204988549564,
      0.228128678253675,
      -0.255525990848168,
      -0.118917428287223,
      -0.0768152760416567,
      0.138994921185666,
      -0.0442483232160935,
      0.0976479301876217,
      0.0790852722650669,
      0.180646526418658,
      0.108050775033251,
      -0.172175091165163,
      -0.604588177479264,
      1.02472175425427,
      -1.00899339226617,
      0.732909313452953,
      -0.308606285590643,
      0.206776030236364,
      0.0889900010670383,
      -0.573083090088113,
      0.386424245903291,
      0.294438951680761,
      -0.554121436405182,
      0.326057150862119,
      -0.355509052117926,
      0.294399496367529,
      -0.198476439880909,
      0.24712367792882,
      -0.504213570829004,
      0.547102999336123,
      -0.224181164370193,
      0.371491891409091,
      -0.420277007981231,
      0.230796524414429,
      0.11813018775363,
      -0.497163070454505,
      0.0297641349705589,
      0.358083389962843,
      -0.341607038965309,
      -0.093238354838095,
      0.44633973204926,
      -0.228167358450386,
      0.336605759607917,
      -0.335372803184183,
      0.163101815214522,
      -0.215586959668848,
      -0.202541774671172,
      0.810272804781307,
      -0.591983411434389,
      -0.120753799572722,
      0.165865728140385,
      -0.0202643857249749,
      0.113492575360081,
      -0.374339306461571,
      0.449375029255916,
      -0.265633270998675,
      0.138031604956113,
      0.160377642842311,
      -0.556715927715229,
      0.176626127803077,
      0.155615184935686,
      0.426376198223905,
      -0.3049510104972,
      0.149121173123898,
      -0.28455140983028,
      0.203015632245018,
      0.110422769602367,
      -0.245390884025907,
      -0.00389959849777802,
      0.194183307426611,
      -0.347146025078923,
      0.131011985345008,
      0.020382417797443,
      -0.0252210788137631,
      0.0650368866139714,
      -0.16796767158403,
      0.337508007026575,
      0.0713230788235559,
      -0.211023826878481,
      -0.224739309782713,
      0.254169784898331,
      -0.446856245355552,
      0.631116707513852,
      -0.262174965087346,
      0.197690029204554,
      0.041849438663734,
      -0.649057929279565,
      0.0769149015573881,
      0.688372807073072,
      -0.150237730380932,
      -0.275750626708702,
      -0.179071510363101,
      0.209318571623161,
      0.405710410854821,
      -0.305274893475499,
      -0.10781720667337,
      -0.0480146212087992,
      0.311884810043414,
      -0.225353769679827,
      -0.0259413945299083,
      0.443502291224882,
      -0.210065719620022,
      -0.196228434245903,
      0.237038874443032,
      -0.306658560689775,
      -0.0545526226720427,
      0.414467317701452,
      -0.154813149297481,
      -0.00147622381327939,
      -0.186400913522645,
      0.0622786230910372,
      0.0551181493896641,
      0.00870574890856911,
      0.0151878551087351,
      -0.0303585417064497,
      0.111278544025583,
      -0.310014403033823,
      0.249467101925432,
      -0.237010200869253,
      0.151452783551285,
      0.0351319380210824,
      -0.120647105640024,
      -0.0956465660742676,
      0.0116236871580087,
      0.102820441095092,
      0.104102923126747,
      0.110232947569233,
      -0.285124252991325,
      0.010909761307177,
      0.13917684774585,
      -0.16489594847674,
      0.278999463494839,
      -0.0688541953438461,
      0.0512212702105753,
      0.00924862013880525,
      -0.224240429172821,
      0.119366653357502,
      -0.0764961066954738,
      0.283537095632243,
      -0.0560736795851485,
      -0.190315835373329,
      0.0987048808905299,
      0.0337177179159061,
      0.0431194805130199,
      -0.274397888634387,
      0.134060348204913,
      -0.212169712836891,
      -0.0436446964109599,
      0.275172625944278,
      -0.0165824106951308,
      -0.0830626016467583,
      0.19194487483013,
      0.403510651393775,
      -0.198510883263362,
      -0.385025597859119,
      -0.37279114548478,
      0.640609084834291,
      0.131098555574687,
      -0.380536103468397,
      0.112910420900979,
      -0.124257534452568,
      -0.132445783062241,
      0.457894423264305,
      -0.448344205938719,
      0.0706355189158502,
      0.473520260007732,
      -0.638067228014199,
      0.655413599768247,
      -0.0220142709398284,
      -0.459780060295353,
      0.276673780985261,
      0.0447914315230463,
      -0.570362263586856,
      0.426778359961864,
      -0.642399508984804,
      0.569532891206604,
      0.107758011622218,
      -0.502440070439807,
      0.714742046708051,
      -0.455568515397779,
      0.0635259026544359,
      -0.0634160644546637,
      -0.0484279909409651,
      0.223949921486448,
      0.0695046824855441,
      -0.542980583847567,
      0.961675309456334,
      -1.00652358166197,
      0.256389431852234,
      0.265474792741649,
      -0.291786310601357,
      0.322021136197995,
      -0.172167450922418,
      0.0446622036956731,
      0.0214940565966243,
      -0.0415963771521412,
      0.0749406892935797,
      0.309089518125962,
      -0.28229702837573,
      -0.0369896599482961,
      0.0573273998287043,
      -0.163730679108167,
      0.256263830238663,
      -0.211101664828357,
      -0.136911912026927,
      -0.0462759176984483,
      0.124935164259838,
      0.408842625293922,
      -0.418547093250238,
      0.251185765595231,
      -0.156284717330262,
      -0.145359649487265,
      0.153910894204974,
      0.155634137705379,
      -0.471370168629225,
      0.144189055717537,
      0.167253223799839,
      -0.0837156915552308,
      0.30778351642957,
      -0.494316178269574,
      0.514833578501506,
      -0.15401295473078,
      -0.0857538838495088,
      0.153257589864011,
      -0.00906783892559634,
      -0.0796889914782254,
      -0.03692407186867,
      0.00762561481440692,
      -0.015465125220827,
      0.0149081339341213,
      0
    ],
    "spectral_entropy_curve": [
      0.615810425369279,
      0.597130730505587,
      0.479732271229512,
      0.490436411787793,
      0.587089505218078,
      0.526331368860327,
      0.648078522207979,
      0.421311409295888,
      0.452113127764153,
      0.644138044898318,
      0.432431235233618,
      0.421266607277306,
      0.475324110855352,
      0.40255876930285,
      0.522054650354638,
      0.372678126214778,
      0.480785717026987,
      0.487354914970962,
      0.488900836014361,
      0.393396514845066,
      0.465573733778679,
      0.507678573124461,
      0.426305678126429,
      0.515921034799428,
      0.444733994574477,
      0.585769016806221,
      0.532207736579633,
      0.542813894509607,
      0.579401736728635,
      0.672249955565883,
      0.432023149673419,
      0.482112678541468,
      0.502066338948462,
      0.44387814015385,
      0.379061150747234,
      0.470227105605928,
      0.522383161384287,
      0.499234260238493,
      0.539851998597271,
      0.396872227829433,
      0.405672317929692,
      0.331948430057314,
      0.46843059146572,
      0.366319203970207,
      0.493214720857287,
      0.413518756903188,
      0.415838245025655,
      0.558066595326074,
      0.462288968776405,
      0.573438389597303,
      0.436327403073226,
      0.450192781758779,
      0.555474584623915,
      0.480414830597508,
      0.628722697936767,
      0.451008313084652,
      0.431682419479568,
      0.511996826711831,
      0.467134007321925,
      0.585282627233243,
      0.41400638525927,
      0.54388846506906,
      0.562901656408324,
      0.569265790500973,
      0.587500216781994,
      0.512946454180797,
      0.588098302727974,
      0.555753476772565,
      0.535411695242686,
      0.609169926069068,
      0.489428113653233,
      0.540241186341999,
      0.501153569471422,
      0.465799108584783,
      0.528080192456653,
      0.428425979991426,
      0.491943773161878,
      0.389928648322731,
      0.368443830303241,
      0.592960906109488,
      0.273288888087321,
      0.184992273541313,
      0.207674469463085,
      0.415872096984129,
      0.507568464899716,
      0.268014348400501,
      0.224997875286856,
      0.18475571599274,
      0.317977612175565,
      0.475208713644825,
      0.285506940158136,
      0.262850743608091,
      0.283744531349753,
      0.530580430810296,
      0.482335103763007,
      0.600379252109279,
      0.275108755568472,
      0.218744781723554,
      0.519421132659843,
      0.397259095598625,
      0.192682612135542,
      0.197453105199759,
      0.187467202057331,
      0.451964940023407,
      0.420648516154474,
      0.206258554130789,
      0.203446918962692,
      0.178322269201275,
      0.432323283735657,
      0.41364302348895,
      0.24225084621553,
      0.323564887955095,
      0.543501948463986,
      0.43955540833421,
      0.230432147367588,
      0.573713275761108,
      0.706168279454828,
      0.654320420109512,
      0.613260082734487,
      0.471699699695078,
      0.193975410456344,
      0.193579520117583,
      0.277822172192428,
      0.462094776948194,
      0.381959804553283,
      0.231999901299042,
      0.19180155029364,
      0.204834119915096,
      0.525961969825486,
      0.408213410139,
      0.265351215576665,
      0.246900191351558,
      0.419396480142656,
      0.62106189315433,
      0.534466043467449,
      0.385947896233788,
      0.220178220901594,
      0.196770204459927,
      0.543004628599519,
      0.425945071272787,
      0.495801681867156,
      0.414253314005246,
      0.494400067744608,
      0.564261953446879,
      0.482810478917522,
      0.543952657975514,
      0.489304421769306,
      0.544881022031229,
      0.500084562647243,
      0.394560943256242,
      0.560124436264919,
      0.518460976039561,
      0.537897533402698,
      0.476518515863876,
      0.440753882323767,
      0.668905910047928,
      0.60450261034795,
      0.657127574732188,
      0.672069356475502,
      0.234675133090083,
      0.200968052526797,
      0.217894452491941,
      0.383385290082203,
      0.553928422661335,
      0.226811239879976,
      0.216911066888336,
      0.156469794752599,
      0.364678092544281,
      0.440567485843885,
      0.231712536995322,
      0.23293966199381,
      0.267586886005997,
      0.462545009319794,
      0.478407616776897,
      0.464301433982615,
      0.256535712061231,
      0.26018546438557,
      0.470080138133665,
      0.433149798228649,
      0.195474811881328,
      0.200445125768806,
      0.216919173474302,
      0.512568207791737,
      0.436496555720927,
      0.20818515413606,
      0.195691463700056,
      0.183124911277655,
      0.492116868131423,
      0.378890623071292,
      0.261369215945709,
      0.267278354060753,
      0.431370681616464,
      0.306909325032346,
      0.346813782120948,
      0.597632216163464,
      0.606526960443868,
      0.506721759390077,
      0.614200331711646,
      0.42523234482904,
      0.529691259481976,
      0.400032718340149,
      0.482555354564927,
      0.506164054533643,
      0.443331902812979,
      0.61103300766285,
      0.478558292960099,
      0.559207869466186,
      0.557906810578671,
      0.4468028820358,
      0.63170335628583,
      0.510071785026116,
      0.644629885662198,
      0.53052260277756,
      0.483111379788937,
      0.549976390895826,
      0.474654346653791,
      0.659764272404668,
      0.475382441707048,
      0.457187962992676,
      0.629988006558853,
      0.580283612882611,
      0.605635613992869,
      0.5386496676456,
      0.513069191938882,
      0.634501656037667,
      0.573870727832291,
      0.61389546844995,
      0.552328673967222,
      0.456151907177156,
      0.597089369869292,
      0.501658982919589,
      0.578245203472583,
      0.433601818876723,
      0.434179609254559,
      0.530046147917506,
      0.42606237236896,
      0.566812329081538,
      0.435730339101663,
      0.191649963523649,
      0.189523390358588,
      0.269548242162655,
      0.521336665008477,
      0.35556660560267,
      0.21373823712428,
      0.207609641352694,
      0.202597855385617,
      0.450369557923119,
      0.326628135449512,
      0.265011490948218,
      0.240750638261629,
      0.342303380138891,
      0.571100169096726,
      0.548927546394437,
      0.439406923473252,
      0.213220248220377,
      0.307704129108746,
      0.512588083067688,
      0.275748400952196,
      0.210767770223034,
      0.177353910929871,
      0.298704554151358,
      0.497276956178631,
      0.266677683322116,
      0.203657589409717,
      0.189005698737148,
      0.278885943485809,
      0.509448847951677,
      0.275499888697392,
      0.297254602200785,
      0.362549342560604,
      0.593145606107915,
      0.236240085662162,
      0.436672131401838,
      0.682182610649576,
      0.689308971265723,
      0.619792571517847,
      0.65103878214868,
      0.234181146040543,
      0.193002760534817,
      0.228594984998596,
      0.46009778284625,
      0.43891447811752,
      0.237989158412839,
      0.230267731219475,
      0.169954793572052,
      0.358747701196375,
      0.585014678732491,
      0.26689541756086,
      0.250855560664387,
      0.276326351881814,
      0.587579679002128,
      0.464661094551069,
      0.528528431311268,
      0.260807985982956,
      0.230143896463374,
      0.514928313528136,
      0.446014608977283,
      0.452899347868251,
      0.526717226577884,
      0.478444987281297,
      0.60004002230004,
      0.502941255390165,
      0.514580626562665,
      0.558726349033701,
      0.563081169189399,
      0.575143758186839,
      0.409117631754197,
      0.492549803082234,
      0.576327905590765,
      0.526805217759405,
      0.549639335228647,
      0.436053481653562,
      0.584967627767579,
      0.640678462367399,
      0.655719388498543,
      0.700178455982097,
      0.452597219157797,
      0.216844948285724,
      0.218939861896433,
      0.231989107066721,
      0.528089598997062,
      0.393669810034909,
      0.225275323735859,
      0.187568373659506,
      0.165042025189535,
      0.515469386731576,
      0.31221711979408,
      0.236229628943963,
      0.251261716617351,
      0.283679424785321,
      0.524818613666077,
      0.535085737320651,
      0.338723729049964,
      0.238430413383711,
      0.290915459135609,
      0.578528048767235,
      0.259698450592459,
      0.209293963510781,
      0.18589221032683,
      0.341526222564516,
      0.579790008917085,
      0.252098129050472,
      0.209806181687923,
      0.186413940564603,
      0.33300102461548,
      0.501340163308333,
      0.241116253811367,
      0.280132424242275,
      0.356408790529754,
      0.411588966026668,
      0.239300543283418,
      0.485289063323879,
      0.63321398972308,
      0.575402053277805,
      0.578508089378593,
      0.497927262070042,
      0.191010155205126,
      0.188510602154176,
      0.273704235887564,
      0.527921793510871,
      0.497383581019654,
      0.21335421848712,
      0.222907294893022,
      0.190813850875245,
      0.459480215544021,
      0.461173326614144,
      0.224882364639158,
      0.239198665676197,
      0.304676401165821,
      0.555943031114394,
      0.489590125794133,
      0.345086137516073,
      0.233165710450436,
      0.189668482549386,
      0.534525454934043,
      0.434401464166119,
      0.536620343448196,
      0.564552119122241,
      0.569333136653393,
      0.58308849842534,
      0.503275778071758,
      0.587199586513636,
      0.556842464805428,
      0.535239245647169,
      0.606284225675632,
      0.479953406467152,
      0.536090611415256,
      0.501354210649414,
      0.467216709449426,
      0.517375986418819,
      0.411793412787163,
      0.489519469477456,
      0.386753711754288,
      0.374596811035657,
      0.630530388063698,
      0.266917300861317,
      0.190604027481298,
      0.180163041390409,
      0.306844637807833,
      0.560540994061945,
      0.276317916753286,
      0.210181650225202,
      0.179537679607231,
      0.265350969801825,
      0.509458263861667,
      0.271968764772522,
      0.22886602228759,
      0.206088066665899,
      0.433947911583472,
      0.476778556963177,
      0.497351543779206,
      0.244327373183555,
      0.177313893677426,
      0.414241135672662,
      0.456475235828597,
      0.199474038617282,
      0.191318795244699,
      0.147145545179673,
      0.41634846903312,
      0.49667217410238,
      0.189030618934961,
      0.196964293039481,
      0.169643031000316,
      0.418615808372148,
      0.474598210475432,
      0.215495714419058,
      0.280675200413286,
      0.379188698735756,
      0.36664897641032,
      0.228102824371592,
      0.487865306490332,
      0.705994036305562,
      0.631284321322606,
      0.615989008822439,
      0.534651315066434,
      0.457661039362006,
      0.481341981730903,
      0.441979551850685,
      0.570181642399079,
      0.459484362672313,
      0.494933908990955,
      0.459694123190837,
      0.388065547019061,
      0.534862694715973,
      0.489778524775212,
      0.533687773775564,
      0.430169283031184,
      0.466112234226199,
      0.578438677884976,
      0.455446805942799,
      0.53632556821733,
      0.394521196507386,
      0.539649048330176,
      0.584057128054962,
      0.416955823548589,
      0.506917193926225,
      0.408055236001947,
      0.471464607495521,
      0.583107268899409,
      0.411151470970757,
      0.567516626869524,
      0.409440753172969,
      0.389725466211562,
      0.543044431593663,
      0.417449515920414,
      0.552407372342425,
      0.386257125284893,
      0.354567191538429,
      0.331639991059647,
      0.345866649767216,
      0.340745522899584,
      0.331233189561402,
      0.404103159704064,
      0.592366522702535
    ],
    "spectral_skewness_curve": [
      0.967993835264205,
      0.853360391298139,
      1,
      1,
      0.92445142011581,
      0.998965805462104,
      0.858921532733734,
      0.948213202032368,
      0.942467326300761,
      0.834881042050066,
      0.947171712514422,
      0.992550617546388,
      0.920381922491068,
      0.986579313570308,
      0.968939410911977,
      0.970947178056115,
      0.971549764265363,
      0.926149611998957,
      0.883818299768063,
      0.925557545998723,
      1,
      0.908891081729985,
      1,
      0.992185834301305,
      1,
      0.885671885448165,
      0.990540595933925,
      0.833721501526027,
      0.837174030427078,
      0.866531440929985,
      0.917384226243601,
      0.994411574188325,
      0.906544622567558,
      0.986145789881142,
      0.990930202442489,
      0.956646242621579,
      0.956899213912244,
      0.930821013044261,
      0.857341123070169,
      0.948363649201223,
      0.994152079549271,
      1,
      0.924573204953895,
      1,
      0.936962255409395,
      1,
      0.999723816052868,
      0.923831042319188,
      1,
      0.909617153366532,
      0.994629242757148,
      0.988679295685028,
      0.935155539333622,
      1,
      0.885591008964028,
      0.990536841635786,
      0.9703262403352,
      0.942314346390481,
      0.947507916538357,
      0.894750068474782,
      0.99989020884757,
      0.948945770950033,
      0.953438700929225,
      0.830783014045128,
      0.904055593456725,
      0.995078855360988,
      0.929983752254183,
      0.990864616333239,
      0.979011700119958,
      0.938619702422531,
      1,
      0.936978111208959,
      1,
      0.972412778942254,
      0.943030110277266,
      1,
      0.929490000976372,
      0.833926009329543,
      0.806585906265371,
      0.935528396533635,
      1,
      1,
      1,
      0.85778948689255,
      0.887143698942421,
      1,
      1,
      1,
      0.939128642482295,
      0.937525463872357,
      1,
      1,
      0.992857113256189,
      0.900334068506544,
      0.964196961268548,
      0.850612130091554,
      0.998136599183089,
      1,
      0.888210724034833,
      0.978760125299726,
      1,
      1,
      1,
      0.894889758184546,
      0.943176800041783,
      1,
      1,
      1,
      0.921555970648996,
      0.893965811285441,
      1,
      0.98806351210992,
      0.841425646912473,
      0.892287609137676,
      1,
      0.848914576303149,
      0.78850062246699,
      0.746175310430847,
      0.843330713363954,
      0.92314938427857,
      1,
      1,
      0.973736053344858,
      0.929389945021569,
      0.978542678847717,
      1,
      1,
      0.999891014974366,
      0.88050544720795,
      0.975934590270946,
      1,
      1,
      0.906142381622204,
      0.879663112592618,
      0.955989799540633,
      0.956394013847181,
      1,
      0.980314112199089,
      0.925466524264402,
      0.996284074615372,
      0.931382340358265,
      0.967588950080546,
      0.896307425781583,
      0.888822098920567,
      0.998610328889345,
      0.879526802053059,
      0.881131778235717,
      0.890125090897641,
      0.954223309741504,
      1,
      0.880454510773325,
      0.834746628773579,
      0.786573195015418,
      0.97437730527673,
      1,
      0.904643992534845,
      0.934788084066698,
      0.868984997089969,
      0.925446509192691,
      1,
      1,
      1,
      0.930022032967375,
      0.930216696935589,
      1,
      1,
      1,
      0.949033970401267,
      0.984583775495212,
      1,
      1,
      0.992883996836445,
      0.906627281541037,
      0.976759253007355,
      0.947441606196604,
      0.999141198772283,
      0.98343006946812,
      0.921799382165082,
      0.995216666036118,
      1,
      1,
      0.990334772586508,
      0.946823298885698,
      0.950065317762003,
      1,
      1,
      0.992352059292008,
      0.941894862228327,
      0.97715132102759,
      0.989835202727527,
      1,
      0.898775011072642,
      1,
      1,
      0.86782031631128,
      0.839698471688532,
      0.924029452869151,
      0.89296464224894,
      1,
      0.887056710485023,
      0.920569379141739,
      0.870380566538692,
      0.942928059706105,
      0.992800669990048,
      0.842220071303027,
      0.936268510133278,
      0.88008430540721,
      0.927132255169157,
      0.966040147188244,
      0.869492564111649,
      0.93443870332984,
      0.844781259867277,
      0.950982380357309,
      0.950564432929792,
      0.861757731808487,
      0.932867614203348,
      0.784336728187655,
      0.975897525363309,
      0.971303792357982,
      0.877394660758006,
      0.87910953017665,
      0.775845803329576,
      0.995373442029688,
      0.973922651261534,
      0.884381034416637,
      0.965664974113167,
      0.86838356276058,
      0.999232828892185,
      0.977748441492436,
      0.902473143298807,
      0.958155934752842,
      0.864156819182032,
      1,
      0.972202223164977,
      0.886741562893415,
      0.749440100440097,
      0.908771721120185,
      1,
      1,
      1,
      0.972165740152831,
      0.793115371936241,
      0.970600237580622,
      1,
      1,
      0.999073860278509,
      0.890539450644352,
      0.982656334954206,
      0.997779464636319,
      1,
      0.949267394906122,
      0.905419590104854,
      0.962883960329886,
      0.930929988537263,
      1,
      0.983682428641449,
      0.911047778958868,
      1,
      1,
      1,
      0.909523077125026,
      0.859595359824292,
      1,
      1,
      1,
      0.914023614751033,
      0.907826257792914,
      1,
      0.987765725455334,
      0.956328222307092,
      0.779259312691727,
      1,
      0.958477925034971,
      0.801348241889286,
      0.799810687944147,
      0.82234547350188,
      0.804112153527225,
      1,
      1,
      0.994751629487155,
      0.863859491307942,
      0.95826319057157,
      1,
      1,
      1,
      0.942316816743147,
      0.90533495404834,
      1,
      1,
      0.994889475316301,
      0.823837057483359,
      0.978151842286646,
      0.948373865344584,
      0.998321725710295,
      1,
      0.925396555955286,
      0.975520363882688,
      0.944984265056341,
      0.883440846855119,
      0.905543474475833,
      0.803509485490263,
      0.945376928696163,
      0.915533794890281,
      0.840201636917134,
      0.824531589232574,
      0.904887890509846,
      1,
      0.929514454556042,
      0.841765083632321,
      0.757820762195137,
      0.892449350829021,
      1,
      0.905839655106946,
      0.908834497160281,
      0.807962061906932,
      0.894567106730394,
      0.956033005794904,
      1,
      1,
      0.975132977219904,
      0.949419283516087,
      0.933687424754731,
      1,
      1,
      1,
      0.935150551439552,
      1,
      1,
      1,
      0.972529446520266,
      0.926144492953445,
      0.955774505989509,
      0.971261192810774,
      1,
      0.958660783078698,
      0.939351823962747,
      1,
      1,
      1,
      0.965957991845209,
      0.923340936637154,
      1,
      1,
      1,
      0.946230184883379,
      0.961618898220854,
      0.998752349686929,
      0.987949383610664,
      0.968966154016017,
      0.933877192853899,
      1,
      0.955262219834607,
      0.839504078198811,
      0.903875456557731,
      0.843278395189435,
      0.983447398521376,
      1,
      1,
      1,
      0.944040067085619,
      0.999546251221315,
      1,
      1,
      1,
      0.945667220112529,
      1,
      1,
      1,
      1,
      0.924658630630496,
      0.997180420545328,
      1,
      0.999842653278067,
      1,
      0.917447039139576,
      0.999796786711855,
      0.944563284113081,
      0.949233062057277,
      0.830512234871348,
      0.902867048923,
      0.993863142829736,
      0.9291968896281,
      0.990488366266082,
      0.979878522602158,
      0.936214416297537,
      1,
      0.936370180436741,
      1,
      0.971866061483695,
      0.939803981764677,
      1,
      0.929641415763423,
      1,
      1,
      0.84195325919936,
      1,
      1,
      1,
      0.95540998476436,
      0.868870679840912,
      1,
      1,
      1,
      0.969839745535563,
      0.95966843402489,
      0.991351907871865,
      1,
      1,
      0.893415556164034,
      0.963828145519956,
      0.920803815184368,
      0.998488687085623,
      1,
      0.909634469740835,
      0.990426680430125,
      1,
      1,
      1,
      0.931041757741286,
      0.933391598417197,
      1,
      1,
      1,
      0.931150159982986,
      0.921866723145993,
      1,
      0.987809354773051,
      0.910244227312589,
      0.984709915384432,
      1,
      0.943698094623886,
      0.653441906618303,
      0.74824679025311,
      0.861441648721187,
      0.969422933274544,
      0.963874948659107,
      0.956115567165828,
      0.976848932099487,
      0.920872062539586,
      1,
      0.940146058161155,
      0.987583018477203,
      1,
      0.927935674351316,
      1,
      0.920222898691125,
      1,
      0.930344088755437,
      0.912301111946144,
      0.955883137463858,
      0.914257718228579,
      0.953334968730881,
      0.784962341220873,
      0.928883693480652,
      1,
      0.925833692964092,
      1,
      0.955241352972177,
      0.934679136470364,
      1,
      0.925213185592648,
      1,
      0.972066989155618,
      0.954696888170911,
      1,
      0.921222349511575,
      1,
      1,
      1,
      1,
      1,
      1,
      0.926201810151067,
      0.703625539025304
    ],
    "spectral_kurtosis_curve": [
      0.853422593816483,
      0.735999178419114,
      1,
      1,
      0.776287492079404,
      0.996054138355538,
      0.700627255043784,
      0.875026061547887,
      0.83835080409986,
      0.549484325997555,
      0.89624450130544,
      0.968180577093157,
      0.836867353487732,
      0.963866795690686,
      0.898385967809422,
      0.933158254511173,
      0.965466135489053,
      0.979682503820744,
      0.857887677333777,
      0.922112370550209,
      1,
      0.777901653854275,
      1,
      0.959519965368701,
      1,
      0.777620385132147,
      0.978419856673267,
      0.633356194486646,
      0.633815843431939,
      0.634410597860785,
      0.872599494640672,
      1,
      0.79803684659336,
      0.990884001923163,
      0.97678211051151,
      0.931502259010096,
      0.94845130561306,
      0.982233668298193,
      0.832208649847645,
      0.951610283797069,
      0.988957038591598,
      1,
      0.791934499805237,
      1,
      0.801142803399721,
      1,
      0.99460409663498,
      0.791195993301664,
      1,
      0.740775247519047,
      0.96654765856018,
      0.96628626441938,
      0.819457298536705,
      1,
      0.662281156218361,
      0.951587705383747,
      0.914273982394073,
      0.817401941564681,
      0.837711370275009,
      0.701613433150419,
      0.994718553566478,
      0.853305555183207,
      0.791593423825159,
      0.427621505489181,
      0.680551027704025,
      0.968325638774159,
      0.796875636244196,
      0.947264211299408,
      0.854710826518023,
      0.814743548230732,
      1,
      0.814201544715455,
      1,
      0.874853672821807,
      0.829199363124924,
      1,
      0.799503808794846,
      0.934961156889102,
      0.975416168698815,
      0.807118173417421,
      1,
      1,
      1,
      0.593677014020643,
      0.652786921184456,
      1,
      1,
      1,
      0.781032292658782,
      0.816768722306271,
      1,
      1,
      0.951298987126568,
      0.728172515912556,
      0.890040022079919,
      0.589003460301289,
      0.988697209405144,
      1,
      0.691572359819337,
      0.919929743440312,
      1,
      1,
      1,
      0.668772732471519,
      0.822488258586242,
      1,
      1,
      1,
      0.746230357677804,
      0.714445522602145,
      1,
      0.951784609272729,
      0.550541172431515,
      0.705502354890049,
      0.997238463758926,
      0.575626335443655,
      0.485883508130863,
      0.360458936162231,
      0.574498267049141,
      0.777029563594673,
      1,
      1,
      0.897678874233085,
      0.810076859171569,
      0.92845292740616,
      1,
      1,
      0.992849154613806,
      0.632500161096085,
      0.952287106966603,
      1,
      1,
      0.739022461276192,
      0.67807395214687,
      0.880237101824874,
      0.874186609780965,
      1,
      0.933720570012808,
      0.77361197078586,
      0.997235034336319,
      0.798509901517905,
      0.977846940179464,
      0.827700516583499,
      0.721597039362591,
      1,
      0.746206270900808,
      0.869579009036457,
      0.712812624540235,
      0.871284725907735,
      1,
      0.703285165669843,
      0.58934700409204,
      0.438898332328736,
      0.928737897035058,
      1,
      0.766016308242595,
      0.836080496748729,
      0.653992591771265,
      0.795078031304843,
      1,
      1,
      1,
      0.784966088714383,
      0.797726532463076,
      1,
      1,
      1,
      0.842943733518907,
      0.949855075241639,
      1,
      1,
      0.971853629244699,
      0.732018061307673,
      0.919829888616884,
      0.875786398100951,
      0.990635289709176,
      0.94044120171636,
      0.806735446456481,
      0.973966868006046,
      1,
      1,
      0.956933838253435,
      0.841165467429625,
      0.81669175135766,
      1,
      1,
      0.962492672381039,
      0.830042372235323,
      0.962080339344726,
      0.960848812220422,
      1,
      0.742969095492527,
      1,
      1,
      0.669744599071587,
      0.585494790014579,
      0.80589889682014,
      0.732617328665612,
      1,
      0.677109518246883,
      0.824989288810062,
      0.730020147295356,
      0.836182518210299,
      0.973410098925154,
      0.575239849559527,
      0.844509037365525,
      0.739511488281018,
      0.787508426255066,
      0.912822229149737,
      0.640260319022193,
      0.849353906084167,
      0.632725229568474,
      0.848839952279515,
      0.873067912497651,
      0.635503390874291,
      0.79992768396775,
      0.506121144174878,
      0.933317989364356,
      0.908239322907648,
      0.641789466529062,
      0.599038535813975,
      0.315985031211244,
      0.978029482233784,
      0.908884475496164,
      0.654772769500038,
      0.870999612846434,
      0.582446351671189,
      0.987578418227899,
      0.922742676760472,
      0.701307006575484,
      0.882116333883132,
      0.574108274785628,
      1,
      0.913604967968856,
      0.687056485297696,
      0.840925668180236,
      0.740652499157479,
      0.999143890367597,
      1,
      1,
      0.91020832945667,
      0.442682064569539,
      0.917113130836743,
      1,
      1,
      0.984274931780474,
      0.652000724216014,
      0.937885281396105,
      0.998582039039408,
      1,
      0.833829883416713,
      0.718204849175024,
      0.869707162253826,
      0.807640222473542,
      1,
      0.935539541894462,
      0.740058271044671,
      1,
      1,
      1,
      0.772638206100575,
      0.623358727028488,
      1,
      1,
      1,
      0.742552182196226,
      0.736729873133213,
      1,
      0.948780676490837,
      0.856793579834635,
      0.453803543964962,
      1,
      0.878428960275735,
      0.505421268687046,
      0.50350277883727,
      0.55540810411698,
      0.566551156221073,
      1,
      1,
      0.975024543021846,
      0.626677044522688,
      0.877904147797429,
      1,
      1,
      1,
      0.832354763221267,
      0.77125334197966,
      1,
      1,
      0.983335803314231,
      0.53375597531962,
      0.91777252487359,
      0.862135964461876,
      0.987426879302155,
      1,
      0.770556778380214,
      0.935824295410478,
      0.873993267237392,
      0.698830346215134,
      0.782039406121842,
      0.571182525308303,
      0.872466532595059,
      0.813927102896003,
      0.663387796365305,
      0.650751655131932,
      0.739270982058953,
      1,
      0.804855218417816,
      0.610364985166113,
      0.397377301902147,
      0.689891910551908,
      1,
      0.741179702162641,
      0.755521142167675,
      0.53125403075228,
      0.724521355360412,
      0.866714217009416,
      1,
      1,
      0.912900547211962,
      0.839604314569995,
      0.812812152695924,
      1,
      1,
      0.992347329408296,
      0.801160453532937,
      1,
      1,
      1,
      0.912520342941562,
      0.788463125131796,
      0.877116220034045,
      0.921959215480878,
      1,
      0.88539367098742,
      0.816306406023604,
      1,
      1,
      1,
      0.886600308643377,
      0.743829950607026,
      0.997813096719247,
      1,
      1,
      0.827204209039401,
      0.919804500574842,
      1,
      0.949757806794218,
      0.904876684880965,
      0.845434144293915,
      1,
      0.890869416611619,
      0.604221839587022,
      0.741870261170694,
      0.633076586199949,
      0.940378140760239,
      1,
      1,
      1,
      0.821894442580654,
      0.985463329200178,
      1,
      1,
      1,
      0.840854059531729,
      1,
      1,
      1,
      1,
      0.794560074128052,
      0.982474940817672,
      1,
      0.994682094468847,
      1,
      0.725027063152631,
      0.993197471738202,
      0.81292803850395,
      0.778767991944232,
      0.428015342435974,
      0.677086750692097,
      0.9640775530624,
      0.795388187837647,
      0.945616207465955,
      0.859983611324554,
      0.801507967449578,
      1,
      0.812960255839211,
      1,
      0.872736973642884,
      0.821445723251051,
      1,
      0.799089473573459,
      1,
      1,
      0.48130059257571,
      0.997702372206836,
      1,
      1,
      0.901871582362604,
      0.690566968410647,
      1,
      1,
      1,
      0.903259806142813,
      0.865359579028059,
      0.969733996362813,
      1,
      1,
      0.720237236192178,
      0.896187905835375,
      0.788875451269524,
      0.99026416269692,
      1,
      0.73353309804211,
      0.959791026028933,
      1,
      1,
      1,
      0.771019004488265,
      0.804638456852336,
      1,
      1,
      1,
      0.785676328125771,
      0.767837339174407,
      1,
      0.948723887492828,
      0.773639066311757,
      0.959573540601858,
      1,
      0.834694348545939,
      0.207399132315412,
      0.475870205923162,
      0.603700506235014,
      0.924986995837545,
      0.897386754584859,
      0.885877259381241,
      0.918370044962218,
      0.755289256357323,
      1,
      0.837255596457841,
      0.965917918477404,
      1,
      0.799919375436282,
      1,
      0.779002546656109,
      1,
      0.801071670013456,
      0.755693752585323,
      0.968008395604293,
      0.769227990737926,
      0.889451068224248,
      0.472927646071473,
      0.803378157442518,
      1,
      0.790540716130891,
      1,
      0.856131455899464,
      0.818684807725578,
      1,
      0.790733122494727,
      1,
      0.917055594163275,
      0.86854793913326,
      1,
      0.780146606875734,
      1,
      1,
      1,
      1,
      1,
      1,
      0.825498916740439,
      0.22473329732569
    ],
    "mel_spectrogram_compressed": [
      0,
      0.125827302661195,
      0.0965252122995254,
      0.0201588207745559,
      0.0921220507214538,
      0.0321261348004633,
      0.130621728771813,
      0.132396533809955,
      0.111668233810019,
      0.0295604956237803,
      0,
      0,
      0,
      0.0454961989057274,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0302274878876262,
      0.000334740178799579,
      0.072815393232992,
      0,
      0.0480629576336431,
      0.0931270982382505,
      0.161166137772588,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.045375193385986,
      0.00634559679207338,
      0,
      0,
      0.130605234027549,
      0.229924158350407,
      0.163652890495319,
      0.111660777795179,
      0,
      0.258799244283952,
      0.115948505799629,
      0.151345214513742,
      0.0683897900747078,
      0.116625793365206,
      0,
      0.222767716138489,
      0.212363520782224,
      0.342305315023049,
      0.116409876308191,
      0,
      0.182932359495423,
      0.20239419230527,
      0,
      0.232600320186173,
      0.0991202144725215,
      0.119727950660411,
      0.190015117049956,
      0.140265825357294,
      0.263875403655009,
      0.225551977376529,
      0.0423447764248664,
      0.173532828839642,
      0.388930620583273,
      0.185096367764585,
      0.209821582499651,
      0.230842324988959,
      0.408470076432095,
      0.109638674457593,
      0.258545609689255,
      0.230709729663571,
      0.156376121589468,
      0,
      0.194040134758758,
      0.537302860635463,
      0.519501662385141,
      0.498105340535574,
      0.37123508818401,
      0.320619688278621,
      0.160337151248722,
      0.796993589649828,
      0.821802302830293,
      0.83834354175263,
      0.7206582849619,
      0.602790894907867,
      0.869763257040635,
      0.897299582109255,
      0.859012324575449,
      0.72289068409068,
      0.61451533978946,
      0.487713101357269,
      0.394383608970389,
      0.822234066162352,
      0.813435751772206,
      0.683305191327749,
      0.574005839022412,
      0.513660671163442,
      0.419682555745074,
      0.442667112716883,
      0.29893304662079,
      0.187336476982836,
      0.712693621056475,
      0.745981952070032,
      0.692700856562033,
      0.642884201131824,
      0.520891394760246,
      0.411147970136822,
      0.794453361186518,
      0.757683917889683,
      0.649795085577022,
      0.530918372224035,
      0.852692110657011,
      0.742456979189397,
      0.620569738498812,
      0.513128712793664,
      0.388092850643517,
      0.399255521022636,
      0.0644270317907352,
      0.421165694181976,
      0.472234361621911,
      0.398843086317633,
      0.262774547751231,
      0.173035287355603,
      0.85052283702535,
      0.853734816475326,
      0.873488644888647,
      0.777881329237546,
      0.66641809842957,
      0.54374634789907,
      0.823015724685267,
      0.830690189601197,
      0.792567606260295,
      0.667366682951858,
      0.553419816434398,
      0.44723838031512,
      0.865781407105674,
      0.883046787874271,
      0.751615789659252,
      0.639442557668441,
      0.461774218365015,
      0.189374317596331,
      0.0336185609677506,
      0.00915515899640617,
      0,
      0,
      0.226853489627281,
      0.27508502304557,
      0.167368175080705,
      0,
      0.15125912527339,
      0.425217038807641,
      0.115696691128132,
      0.13980918107944,
      0.14234012748242,
      0.39911200440117,
      0.140232381332725,
      0.178578057673328,
      0.179449979482057,
      0.0686843428583072,
      0,
      0.107007638269822,
      0.555515312803659,
      0.558286397838538,
      0.591611409059784,
      0.327818890884309,
      0.30792221981178,
      0.0741211331053114,
      0.806474116069717,
      0.828641960303551,
      0.84322576996127,
      0.727233946718762,
      0.610728562348092,
      0.879711205554088,
      0.900841936894217,
      0.864389620919321,
      0.72644075335094,
      0.620676979852577,
      0.494339461301965,
      0.382813921969294,
      0.82387747113302,
      0.815062633033393,
      0.69317450034304,
      0.580319910299345,
      0.471656690422447,
      0.470970208225989,
      0.398504404791024,
      0.347613508185288,
      0.272151399493287,
      0.651462649244776,
      0.684357377166607,
      0.654914150526311,
      0.639890165852914,
      0.524343533430566,
      0.410025107066576,
      0.796479096067085,
      0.76524847522108,
      0.658707910976865,
      0.53135026836626,
      0.844268814730674,
      0.74896737385466,
      0.626424375167738,
      0.513517655845828,
      0.394226987991161,
      0.395725008696581,
      0.0932223347003969,
      0,
      0.0762297873920573,
      0.0270636939150626,
      0,
      0.0902490765052322,
      0.247456301508739,
      0.0255848271589567,
      0.149189004796663,
      0,
      0.321007637238255,
      0.190521882900364,
      0.134619481102048,
      0.154701296264295,
      0.131348193746682,
      0,
      0.295134648309357,
      0.202034311367666,
      0.255664979885843,
      0.0401425644277604,
      0,
      0.336094224543326,
      0.0960598760854888,
      0.0571667839372572,
      0.270104609195647,
      0.206752506904909,
      0.156934057093319,
      0.160139837259615,
      0.173594605088727,
      0.29107320947092,
      0.143773240274134,
      0.111587274565771,
      0.251320598980183,
      0.436941544239052,
      0.249757256238319,
      0.0727337167329189,
      0.124328025868362,
      0.339904932330402,
      0.18168644208408,
      0.265883656186552,
      0.210569656752136,
      0.0119453703724822,
      0.0619955717479634,
      0.119133938369235,
      0.621603603886078,
      0.619218179032394,
      0.572642912581791,
      0.423339335419832,
      0.316604600224175,
      0.0848575372876301,
      0.812774475567227,
      0.830916802440069,
      0.845814557326243,
      0.734192756700163,
      0.612897809962012,
      0.880870950365195,
      0.90356401772848,
      0.868874914700636,
      0.732722777792549,
      0.621215871480767,
      0.499490876149757,
      0.382634644952515,
      0.827492139666418,
      0.819976969207797,
      0.697121924748691,
      0.582521205475304,
      0.502974960334036,
      0.444483275241367,
      0.479661055142592,
      0.394866917966767,
      0.237233492912608,
      0.564659948130043,
      0.664242000714297,
      0.668348099083983,
      0.647611029376604,
      0.530214873503999,
      0.415052871325604,
      0.795654824540653,
      0.762905204115637,
      0.662590713798458,
      0.536781694081652,
      0.844855063137638,
      0.752583904354144,
      0.632104544161183,
      0.5172935471891,
      0.394489703257617,
      0.427249547457023,
      0.0546795384503229,
      0.43762011579823,
      0.439850207376023,
      0.382834761116471,
      0.299854435804663,
      0.150269689437695,
      0.848889456878266,
      0.85012967583851,
      0.879416197876192,
      0.790715492626631,
      0.670756768325785,
      0.555337936110496,
      0.831286045244786,
      0.836627164297114,
      0.796047505950455,
      0.680708506844555,
      0.56362922169209,
      0.429433727879323,
      0.881729031267913,
      0.892797481822448,
      0.758347673550299,
      0.647966352777165,
      0.51779858093039,
      0.120424497612314,
      0.134466282237483,
      0.020423518575095,
      0.016189896402711,
      0,
      0.19277685974112,
      0.340408600430029,
      0.0523368058764717,
      0,
      0.276771578626208,
      0.426861618264728,
      0.133252149172882,
      0.151480430652411,
      0.139918950964196,
      0.202883299399025,
      0.182949352763976,
      0.157558748631337,
      0.208223889131798,
      0.0400165539562974,
      0,
      0.246741310785882,
      0.584608447241034,
      0.573181486911333,
      0.553944701775151,
      0.362693834593011,
      0.312990433655081,
      0.144047044562285,
      0.812511136823481,
      0.838080891049897,
      0.853573768809206,
      0.735875876188633,
      0.617672368762415,
      0.88164256595475,
      0.912050485905745,
      0.882925133511361,
      0.73782214980725,
      0.628987273304449,
      0.504885258311073,
      0.394269389937306,
      0.83076847803681,
      0.822262910745196,
      0.70731994781639,
      0.590819087653363,
      0.532704636630867,
      0.502645794333824,
      0.570940175135296,
      0.333384658280458,
      0.285334850122995,
      0.505704311022557,
      0.654603094605567,
      0.68000736243576,
      0.659901754596927,
      0.542365833974648,
      0.425088224457563,
      0.802810073978024,
      0.767361058764266,
      0.665848670983102,
      0.546298406620276,
      0.85572812137856,
      0.753509640202458,
      0.63852735331034,
      0.52248259294688,
      0.402745823335218,
      0.378192772845873,
      0.160490883828702,
      0.404004451064828,
      0.426736148091364,
      0.418366069319332,
      0.254974583623574,
      0.211589059754084,
      0.863860655452716,
      0.852838268312669,
      0.874882476802368,
      0.794113937122669,
      0.676845530199475,
      0.562687028029068,
      0.838470373503998,
      0.841982081084564,
      0.797999341728933,
      0.688577091957915,
      0.567014704911315,
      0.449106541338562,
      0.879216459265458,
      0.898481333118445,
      0.762264302912006,
      0.648208513516741,
      0.527909442534015,
      0.00109712231587449,
      0.205464653457983,
      0.242112865786762,
      0.0912948971215204,
      0.207340142557422,
      0.206698340511279,
      0.306112776590193,
      0.117416421060085,
      0.233746369781413,
      0.259350168147544,
      0.363170146452304,
      0.148028098185563,
      0.0920910719899854,
      0.161413117528255,
      0.194813897906296,
      0.24497506548162,
      0.246426265173662,
      0.223457061513597,
      0,
      0.0299018448269162,
      0.0950288900334654,
      0.609325787213006,
      0.583859153329671,
      0.603887892430329,
      0.327679916124276,
      0.318223748613253,
      0.248063109581593,
      0.813774831044128,
      0.838662380980076,
      0.854571785468447,
      0.739941443105786,
      0.620884927333609,
      0.890713471079986,
      0.920772734480573,
      0.893292757994994,
      0.745201479306528,
      0.634703467085202,
      0.506435290851998,
      0.396516962707679,
      0.837131513599156,
      0.827533091832136,
      0.708404761156072,
      0.588227683279661,
      0.582165149451978,
      0.575772882514176,
      0.592869853549876,
      0.313775384988345,
      0.277970510851332,
      0.239473274803048,
      0.654261092061566,
      0.693595698659289,
      0.659781687948466,
      0.536873514285876,
      0.427842042150774,
      0.804876814208945,
      0.758771867144215,
      0.667569320930356,
      0.549509259706292,
      0.87331306897253,
      0.756267075589545,
      0.644206011370147,
      0.520942547768781,
      0.407856729772479,
      0.317774078844359,
      0.16381038277471,
      0.0904334169043224,
      0.164277799303461,
      0.0365908183947943,
      0.140206144993332,
      0.184137921404299,
      0.322553678867769,
      0.123319902101663,
      0.111903769905322,
      0.130476280386448,
      0.374929636587312,
      0.168480668656662,
      0.207897828339603,
      0.202762533573778,
      0.0911581001708405,
      0,
      0.185471351156375,
      0.320861355285113,
      0.131342234451563,
      0.0465274037629343,
      0,
      0.0907604617951057,
      0.0484549229365252,
      0,
      0.0639996993782847,
      0,
      0.095122428489674,
      0.0537908095508523,
      0.126422527910128,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0536644678079963,
      0.00664995959429206,
      0.0351919984207359,
      0.0329706892750174,
      0.118704110535443,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0310327449718488,
      0.160543478753723,
      0.0672812646313902,
      0,
      0.161034628362687,
      0.222005225355076,
      0.175597853741357,
      0.140440441030714,
      0.0581014447355433,
      0.29508736498709,
      0.090356451756586,
      0.144431090366618,
      0.220227314935226,
      0.140882154713655,
      0.00500975896379443,
      0.153476825693158,
      0.189655124280357,
      0.338296700791383,
      0.105553251737086,
      0,
      0.274442887672393,
      0.213947798132367,
      0,
      0.25382178065851,
      0.0988845024971923,
      0.146479757718716,
      0.17604962368819,
      0.212210839209311,
      0.25274757370583,
      0.245068079090995,
      0.0740370281682434,
      0.279211223636044,
      0.392288448294681,
      0.132581495053066,
      0.194072048476071,
      0.128818686663226,
      0.402228661298971,
      0.164659229942758,
      0.183014008454963,
      0.192054270496406,
      0.199965212609976,
      0,
      0.228881225462886,
      0.927210079804316,
      0.959748170891577,
      0.869045067780159,
      0.775545500481663,
      0.665136771055313,
      0.549527598461856,
      0.884953609001169,
      0.908023717700487,
      0.924862511568586,
      0.807852601725704,
      0.690357044026129,
      0.91192177561828,
      0.938104794658382,
      0.90197262055796,
      0.761846817639814,
      0.651119762558933,
      0.534869519188629,
      0.453589211453261,
      0.860131533637205,
      0.851867130781016,
      0.722627683620071,
      0.612141257127965,
      0.912180874127577,
      0.925394200574498,
      0.881192344585855,
      0.775856219091323,
      0.644608087193499,
      0.93276497602763,
      0.907803120196796,
      0.88982866487481,
      0.871016981594179,
      0.752523307528071,
      0.637121243881882,
      0.914646464475165,
      0.877129446986528,
      0.769829356509465,
      0.650811658347693,
      0.894433656295318,
      0.781777829599494,
      0.65827600897283,
      0.551454759842624,
      0.42762296929999,
      0.335191130341033,
      0.206257851209682,
      0.893096271860277,
      0.921974561127021,
      0.839188427378211,
      0.72549972499121,
      0.612099279249243,
      0.943799984546753,
      0.947585270896481,
      0.967404404250385,
      0.864970031913969,
      0.752843051743238,
      0.63186755460118,
      0.860238595822016,
      0.869704551327665,
      0.831385418742715,
      0.705597926080325,
      0.592062535691567,
      0.476996724308702,
      0.911222308225006,
      0.924045319562971,
      0.790806262096545,
      0.678581971883186,
      0.495349661832358,
      0.120295706553191,
      0.200488466087375,
      0.0646774831974769,
      0,
      0.0809148692484752,
      0.275069767088221,
      0.252886640222344,
      0.130803924593957,
      0,
      0.26393880703172,
      0.375578329033742,
      0.126945554347709,
      0.202842712689326,
      0.0647011934144812,
      0.442855894379381,
      0.17475370822685,
      0.147184939886152,
      0.237340203065427,
      0.108017337028893,
      0.0427284861285183,
      0.225305192338541,
      0.937134277716166,
      0.961868252558519,
      0.882345381323591,
      0.780261348635369,
      0.676019478995814,
      0.548029475821856,
      0.892953213751611,
      0.915067530819596,
      0.929605418577294,
      0.813744223762748,
      0.69746113960056,
      0.920788304892167,
      0.943965272153783,
      0.910693960024315,
      0.766216234362347,
      0.658761452946768,
      0.531329022491115,
      0.421560501065047,
      0.862709876830796,
      0.854087625657159,
      0.731583245144894,
      0.61700093627532,
      0.917309203277993,
      0.928880236439111,
      0.884681754302491,
      0.778818808643251,
      0.653364610875149,
      0.872413677894406,
      0.840071805038559,
      0.907903263772521,
      0.871896066056902,
      0.755250713543284,
      0.639649581650949,
      0.918069777992989,
      0.882360967293128,
      0.777224715610302,
      0.651940055132509,
      0.893091576505244,
      0.787156226152301,
      0.664755805497768,
      0.555983832917729,
      0.428729455874777,
      0.41772631177833,
      0.215139170984705,
      0.108475521907432,
      0.214819348461225,
      0.1109451383052,
      0,
      0.205395537221802,
      0.254661189007601,
      0.020450160757931,
      0.125078907476287,
      0.00631995537213604,
      0.316042569744406,
      0.184539266790594,
      0.110905819749447,
      0.181042137222111,
      0.14510973703354,
      0.0364082571019881,
      0.307565350492971,
      0.156596065526258,
      0.311432559996658,
      0.101483366156116,
      0,
      0.344029444615636,
      0.137619431170593,
      0.0452357856850582,
      0.28514923069594,
      0.204940716162535,
      0.120534612980717,
      0.169447003882458,
      0.252384750157242,
      0.277342671690913,
      0.156510440044554,
      0.145230279610404,
      0.263146482590097,
      0.41902877111555,
      0.134744217594941,
      0.18226644785725,
      0.103558704086393,
      0.416593082140221,
      0.190509829688071,
      0.19250485151359,
      0.18166748551139,
      0.00264891748947871,
      0.025806450956571,
      0.233120623289803,
      0.938185389855518,
      0.963616683859497,
      0.897913091356996,
      0.786307069101652,
      0.678238646243122,
      0.55183367375563,
      0.899204495164592,
      0.917775276460077,
      0.932541246173573,
      0.820593882154864,
      0.69949026655274,
      0.926018850546166,
      0.949775165190404,
      0.917817468506542,
      0.771069316155001,
      0.659463419837237,
      0.538922183222189,
      0.421206110012783,
      0.866089658948332,
      0.859039151503365,
      0.735939128765264,
      0.62128797947154,
      0.919542860359033,
      0.931468997391073,
      0.885651957438932,
      0.78008621447039,
      0.656906600024195,
      0.777397788910094,
      0.86757763637565,
      0.908920686318709,
      0.87738918430074,
      0.758308257663065,
      0.64441181634993,
      0.918314108712041,
      0.882991420879809,
      0.781967897982891,
      0.658105814963138,
      0.898247704442382,
      0.788418350758862,
      0.671288754345878,
      0.556465277022248,
      0.431754917010167,
      0.471282364124936,
      0.225769907032255,
      0.898619207338679,
      0.933844480461163,
      0.846192633429377,
      0.736169039818793,
      0.616384699504354,
      0.949027276446614,
      0.948155072488764,
      0.974066641576745,
      0.877730598637728,
      0.757108801902585,
      0.642391279900601,
      0.869103519816877,
      0.874802621428094,
      0.835161107355799,
      0.718808261516889,
      0.602420335458525,
      0.472479787332446,
      0.92555781525212,
      0.938520194144677,
      0.797205935712752,
      0.687506775256257,
      0.558071180556662,
      0.133542376362905,
      0.209794783800132,
      0.0849591349287721,
      0,
      0.112105487287638,
      0.143961022933874,
      0.329150024297676,
      0.0704932874841233,
      0.0392535590836642,
      0.25254780610029,
      0.446019811449507,
      0.132213806052957,
      0.204772834090726,
      0.173790952074358,
      0.274505739863326,
      0.144515614556313,
      0.149496802902278,
      0.1767954837922,
      0.0782145433470414,
      0.0136054289844282,
      0.258094538725231,
      0.948340256416061,
      0.965363006126252,
      0.908755844187618,
      0.791201712649123,
      0.680769513975855,
      0.557369706000829,
      0.899514704515553,
      0.924143060460242,
      0.939373846809885,
      0.822720897891475,
      0.703563767860438,
      0.929707409430009,
      0.956159523699459,
      0.928188212252369,
      0.774977129997962,
      0.668916353259332,
      0.542751412547579,
      0.431005789689735,
      0.868931156542122,
      0.861248221039864,
      0.746029289351377,
      0.627062924540223,
      0.921743536341028,
      0.930260638754168,
      0.882287142254902,
      0.786076186775125,
      0.663612587030804,
      0.619807392992058,
      0.882439719679297,
      0.909979881148618,
      0.880704209548806,
      0.762547100065014,
      0.653083496571933,
      0.924131101114297,
      0.888221902448766,
      0.785226357772827,
      0.664489583280451,
      0.904057100055504,
      0.789298400709608,
      0.678494866140164,
      0.557050277544746,
      0.441257281270564,
      0.437242642980449,
      0.199386199006553,
      0.903798495518056,
      0.936393239107275,
      0.845684627837213,
      0.74186772566087,
      0.618520969710698,
      0.958788446427732,
      0.949532125639753,
      0.969841012756538,
      0.881382475596391,
      0.765751807740834,
      0.646780511795495,
      0.876377890955588,
      0.880138685927582,
      0.83799330217132,
      0.728351926905401,
      0.606134172429471,
      0.485506638636851,
      0.92725703543299,
      0.945346979012571,
      0.800610063732136,
      0.685776451915413,
      0.566624585224078,
      0.0216878056207863,
      0.209438787153971,
      0.205327895509251,
      0.0589703769186508,
      0.173273771827434,
      0.25484400963131,
      0.368434310434272,
      0.21430051612731,
      0.187757191001535,
      0.29887596439015,
      0.421906757392355,
      0.173537863826169,
      0.176822896284372,
      0.1455455869428,
      0.177269160470984,
      0.239585503730103,
      0.238171527490909,
      0.226794861759176,
      0.030432321912637,
      0.0107314122592393,
      0.193892864297649,
      0.945574535886461,
      0.952762085173345,
      0.901132502591806,
      0.797174343812449,
      0.6839371006412,
      0.559898913679729,
      0.900926323498303,
      0.925048993272818,
      0.941239633904497,
      0.826763265744957,
      0.706616869458415,
      0.936356327872545,
      0.963824625585881,
      0.939175672585759,
      0.78301864565172,
      0.67443268713341,
      0.544297454059942,
      0.429177445928446,
      0.875402758632144,
      0.866621367549784,
      0.747236221827318,
      0.628035328177298,
      0.915387506782755,
      0.923067140184723,
      0.891973391661988,
      0.790698377603633,
      0.675290239537108,
      0.557599151301265,
      0.8841860594365,
      0.917916271307975,
      0.886552597415836,
      0.765712050345579,
      0.655770806380971,
      0.926275651597463,
      0.884842758332992,
      0.786715607938914,
      0.668908937324664,
      0.915141705429637,
      0.795990692430083,
      0.683144778867064,
      0.558364699895654,
      0.445459517051866,
      0.374565566313476,
      0.212793416380561,
      0.0868246539783437,
      0.180984966881793,
      0.0754789461945277,
      0.0925426677992128,
      0.189818111176327,
      0.332329449999275,
      0.117663822487801,
      0.232022775400145,
      0.187425115083714,
      0.420577400392565,
      0.152743289092667,
      0.180140564701475,
      0.226291640873826,
      0.150312501353081,
      0.0866431929979925,
      0.222499423467401,
      0.288006337379039,
      0.119326632393069,
      0.096948109014918,
      0,
      0.0917425203736077,
      0,
      0,
      0.0842007489155988,
      0,
      0.0573667089827211,
      0.0633972329201484,
      0.129766122921662,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0131743316624802,
      0.0125177098087157,
      0,
      0.0369792891307748,
      0.158021641893345,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.147384184534849,
      0.010631868268497,
      0,
      0.114020994594615,
      0.243404509925601,
      0.257614591355971,
      0.129244967542419,
      0.0140931907536197,
      0.313714584056794,
      0.0937811178499335,
      0.155482024714981,
      0.213175503217349,
      0.134592684747417,
      0,
      0.150254035574597,
      0.146568227605718,
      0.283746090654386,
      0.0818139960595538,
      0,
      0.227978495831686,
      0.263478939170241,
      0,
      0.231937681244799,
      0.113005887629956,
      0.2061622076201,
      0.125688816752763,
      0.222916961786956,
      0.241266448411186,
      0.189308667967596,
      0.026415511558576,
      0.262176249579084,
      0.386451355578134,
      0.187097759663713,
      0.170173672014212,
      0.202768768960355,
      0.328223806352066,
      0.171665235648652,
      0.211437400429954,
      0.190311720251179,
      0.120266343012005,
      0,
      0.169153276322828,
      0.945364178699983,
      0.975326675357195,
      0.893161937353035,
      0.782979130631565,
      0.675669099737797,
      0.556900227592702,
      0.749702769214587,
      0.768807884839599,
      0.787852907435977,
      0.669875935100623,
      0.554275566116434,
      0.773115699237503,
      0.771322752159256,
      0.761387792336339,
      0.649662515725591,
      0.53766168285419,
      0.41285091996197,
      0.509937777334954,
      0.711892253366793,
      0.699100824849169,
      0.572195724666429,
      0.464255789158616,
      0.920417658626748,
      0.932698695611845,
      0.889687741742807,
      0.78463728928701,
      0.651652479193947,
      0.957109904833051,
      0.947855715801602,
      0.951258971947138,
      0.818530187599033,
      0.699815142988214,
      0.584475942324378,
      0.803428596909585,
      0.76499477785416,
      0.659425756834056,
      0.540995712720036,
      0.745556852068888,
      0.646214067026516,
      0.517641836538546,
      0.404247914250845,
      0.280016273485224,
      0.3213893806722,
      0.166332655444241,
      0.901046839122169,
      0.929831410786948,
      0.846808383370284,
      0.733779042869916,
      0.61992148518491,
      0.814014033296937,
      0.816056503002124,
      0.836218265513473,
      0.725980618944592,
      0.614542858746854,
      0.493818703538039,
      0.716926245680971,
      0.700863526777628,
      0.715947552948381,
      0.593677570889005,
      0.479652594714594,
      0.363249691454983,
      0.771606568576904,
      0.758893935127358,
      0.638786313904766,
      0.532664137935597,
      0.427727609442793,
      0.155524680637011,
      0.163298226090623,
      0,
      0,
      0.0756897152324408,
      0.272750012443026,
      0.199093950499632,
      0.0867780762233656,
      0.0179571269600341,
      0.223525387043421,
      0.354232929955962,
      0.108745099800467,
      0.151979638503397,
      0.0203612205983516,
      0.405471414746681,
      0.142128989693009,
      0.12936911140049,
      0.169924967510287,
      0.0586884040749043,
      0.01010499165687,
      0.188125080508282,
      0.955003055881679,
      0.978281659016746,
      0.908928477515156,
      0.787770856222981,
      0.684411777142677,
      0.554787711678099,
      0.757007120880536,
      0.776483702459048,
      0.791838309555685,
      0.676596099698743,
      0.560958599807439,
      0.77791847577783,
      0.77977010419599,
      0.765248154625012,
      0.654950537012863,
      0.544387523525839,
      0.424017718328242,
      0.299497764178127,
      0.717917226290055,
      0.702643616326781,
      0.578202410745962,
      0.469858122114848,
      0.924857494054712,
      0.936943475167618,
      0.892707928390114,
      0.787931538373736,
      0.660054909695828,
      0.946910608776693,
      0.923387607022822,
      0.913626202092813,
      0.820110799928646,
      0.701941862836556,
      0.587664648811963,
      0.807865241583928,
      0.771647336005595,
      0.666656654648071,
      0.541649068598974,
      0.749745335389529,
      0.643389021250512,
      0.518365184613589,
      0.413971251784831,
      0.280499492835236,
      0.341771194277522,
      0.213096271905874,
      0.0643028704432264,
      0.169886413586179,
      0.0765286596344199,
      0,
      0.224868617183847,
      0.286072346622512,
      0.00123818634570499,
      0.124590533355963,
      0.0104891777876317,
      0.318215847809745,
      0.182893553893582,
      0.150849213328239,
      0.201590730298803,
      0.110352647974325,
      0.0220161485275876,
      0.230620094897247,
      0.173874414083527,
      0.326569909739382,
      0.0481118698601382,
      0,
      0.320570113446842,
      0.19254088304941,
      0.00881766349828296,
      0.233694085869878,
      0.183852196581991,
      0.121219194557168,
      0.205632946836263,
      0.252863060575236,
      0.274805660203219,
      0.10492847462643,
      0.085243365733712,
      0.229792123192957,
      0.322329787983433,
      0.178165053405219,
      0.193401196723699,
      0.183870498193224,
      0.369732875660422,
      0.212642906564678,
      0.161251702197217,
      0.173021877404883,
      0,
      0,
      0.230114131335178,
      0.957840020877014,
      0.979984742790446,
      0.918511254095483,
      0.794787403527283,
      0.687888662081873,
      0.559406691927542,
      0.761665629288549,
      0.779439784967754,
      0.794999948576391,
      0.683953320137915,
      0.56289294506653,
      0.781997686808176,
      0.789828690299528,
      0.76760925170662,
      0.660266838718186,
      0.550418216526923,
      0.424448180075301,
      0.303825575215931,
      0.720789024314546,
      0.70654789781908,
      0.588964342579088,
      0.4774751539322,
      0.928024525587094,
      0.938833861985413,
      0.896161085491324,
      0.788645668034492,
      0.663268014606153,
      0.870248582338163,
      0.866091641862287,
      0.85751494067889,
      0.824347786615698,
      0.704444241147103,
      0.591106090735695,
      0.807570049913354,
      0.772848497496828,
      0.673828157670286,
      0.548958397851472,
      0.755472156678628,
      0.641919181639278,
      0.523936982078609,
      0.406571645580094,
      0.281710483355473,
      0.399932198064468,
      0.177524029520868,
      0.906841290067794,
      0.94168942464669,
      0.853336616408453,
      0.745398195429989,
      0.623695343241546,
      0.822320694625265,
      0.818402331793028,
      0.8429547821816,
      0.741318980440157,
      0.61880881789767,
      0.505821715689952,
      0.723250800015838,
      0.705311277984097,
      0.722800831156818,
      0.602815818805833,
      0.489174346546663,
      0.353070095708015,
      0.7800510323534,
      0.772222932405926,
      0.645348907252958,
      0.550068739107325,
      0.411078276571284,
      0.113449637990906,
      0.15398083250807,
      0.0528388274212422,
      0,
      0.0901226160999188,
      0.0504778534098258,
      0.265852613240792,
      0.0372225125750131,
      0.0670658826261956,
      0.149919285259917,
      0.389852858271258,
      0.104403675079036,
      0.161719302772814,
      0.0954980932174717,
      0.280733428360146,
      0.0873745300716745,
      0.107159741138715,
      0.159892550426549,
      0.0789849888422497,
      0,
      0.21260386465666,
      0.965639308770316,
      0.983414771425915,
      0.946414252327694,
      0.799972426376212,
      0.690687178283392,
      0.56669455620714,
      0.763200260809823,
      0.785424224426707,
      0.80106211110824,
      0.685608657113228,
      0.565092245870883,
      0.788751762359259,
      0.797134864633481,
      0.766601702860498,
      0.664062896745252,
      0.550711885408765,
      0.425289910096987,
      0.300124363148728,
      0.722636030438983,
      0.706327291287296,
      0.597292543038536,
      0.477502493911416,
      0.931279113346177,
      0.940372769257717,
      0.902669636646643,
      0.794804280501042,
      0.671704728901024,
      0.683988004942494,
      0.831646897960896,
      0.856818171122469,
      0.827710246666196,
      0.708313043902117,
      0.6000433201837,
      0.81417856803757,
      0.782155025875752,
      0.67578090515552,
      0.553924086500352,
      0.763111101884905,
      0.630949401577881,
      0.526671501906513,
      0.405846053328825,
      0.298430472760542,
      0.372191176969513,
      0.134546814725772,
      0.91203026033898,
      0.944293703061095,
      0.853263050567076,
      0.749361843605944,
      0.628173934863646,
      0.829024470668969,
      0.824173482423099,
      0.84563243334131,
      0.743990612623257,
      0.627309738671507,
      0.507659762173128,
      0.727937901519725,
      0.709728849527745,
      0.723552582333344,
      0.615496480461811,
      0.488229100241084,
      0.374382115586368,
      0.783029206232209,
      0.781276288604692,
      0.649339002456605,
      0.538075325604769,
      0.4144265375541,
      0,
      0.180425704113178,
      0.254641886261989,
      0,
      0.148411415215108,
      0.189700345132852,
      0.319623587301455,
      0.185318290187974,
      0.116032261677923,
      0.246904784848043,
      0.387945992782022,
      0.15663081710948,
      0.185365315876111,
      0.0894496720112712,
      0.106710340173211,
      0.17335873022264,
      0.143162899504579,
      0.228139854105805,
      0.01139780638455,
      0,
      0.167275627489797,
      0.976413860840882,
      0.985507493724022,
      0.977768834149499,
      0.805564081216016,
      0.690830799336566,
      0.568721813643476,
      0.765129481719431,
      0.78615372000209,
      0.803532027882672,
      0.69011199900655,
      0.568409707474066,
      0.788080214220577,
      0.806827869641891,
      0.77972061385799,
      0.671654991700933,
      0.557869609904686,
      0.432447304894765,
      0.308342313999233,
      0.72928449325915,
      0.712526043296196,
      0.601718611467652,
      0.481395915206506,
      0.932136842183429,
      0.939847898935726,
      0.916275110327859,
      0.799032469000829,
      0.682883540062534,
      0.563635261321468,
      0.831934623708721,
      0.865204821990194,
      0.833326145166275,
      0.712770189924948,
      0.602778084606864,
      0.817442589981722,
      0.784467627274585,
      0.676007887899654,
      0.559472641217056,
      0.775333908364373,
      0.655019782528289,
      0.530154541749666,
      0.411883428864602,
      0.302250699761746,
      0.3050073709056,
      0.158812885677537,
      0.104056568791295,
      0.173194418304057,
      0.0717709568296188,
      0.0578593543828974,
      0.187715639697653,
      0.37031041701629,
      0.1042479823706,
      0.207060470278628,
      0.162137897568702,
      0.368086641885183,
      0.0948908019908462,
      0.198048655696077,
      0.241778607651221,
      0.140621573208895,
      0.0507414591350494,
      0.203671724987177,
      0.31418354692069,
      0.069367517210614,
      0.106157664682341,
      0,
      0.0856280122558149,
      0.0591327838328379,
      0,
      0.0366744761486139,
      0.0369232881709321,
      0.0419436296816283,
      0.145729406433587,
      0.0875339689180464,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0265121156500535,
      0.0316342055312163,
      0.0794235492253817,
      0,
      0.0852483885958513,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0578830410577554,
      0,
      0,
      0,
      0,
      0,
      0.00980648899451868,
      0,
      0,
      0.113491080956496,
      0.257127719402706,
      0.223672767897664,
      0.09446712651334,
      0,
      0.336145022230206,
      0.124883996834238,
      0.119640823917852,
      0.138905973745805,
      0.115182174247699,
      0.0106936215319313,
      0.146494484486212,
      0.143934582653863,
      0.315995364375204,
      0.0182378203889346,
      0,
      0.171904605846321,
      0.318952372123038,
      0,
      0.167582012853693,
      0.119281822069665,
      0.259120717506913,
      0.0768952817544926,
      0.228411168285867,
      0.222509206363158,
      0.150575870162803,
      0.0168288742753222,
      0.18791516659325,
      0.427824933442303,
      0.19380111507273,
      0.19552997600468,
      0.273093888144198,
      0.363789818665176,
      0.213691787122186,
      0.179689867666357,
      0.297095702461193,
      0.12097074854531,
      0,
      0.118423087117167,
      0.587291732152835,
      0.590267052819768,
      0.604500681099529,
      0.473505092709789,
      0.346918220287858,
      0.268534863655664,
      0.671701306380267,
      0.663719021661828,
      0.699339943790624,
      0.582493772361897,
      0.47165644578053,
      0.73214144440366,
      0.712307123258488,
      0.725924441602488,
      0.614337720833925,
      0.509336940083382,
      0.377088495581715,
      0.539798266725422,
      0.666159190456574,
      0.649361452915966,
      0.525457136106323,
      0.414420353740144,
      0.520655230046988,
      0.535281705876287,
      0.530902772303069,
      0.427502423589742,
      0.297183710764309,
      0.878873599059381,
      0.894576165018851,
      0.907036235358197,
      0.563301048623792,
      0.425682999002232,
      0.313346133809308,
      0.679438885082359,
      0.701969927829915,
      0.597088128645825,
      0.477693834035477,
      0.698146635570003,
      0.609224015105328,
      0.476066856343027,
      0.353414711602098,
      0.227700143755431,
      0.326355999360981,
      0.0789353925591581,
      0.494998697819777,
      0.519620552316011,
      0.536730110206858,
      0.398855142488801,
      0.299375907144522,
      0.741810051596207,
      0.703966210732996,
      0.741458981970633,
      0.635348886095673,
      0.517357934896349,
      0.403583250514174,
      0.675303348659948,
      0.634210486704367,
      0.679976169320043,
      0.560195709394129,
      0.447523315198764,
      0.361954704852495,
      0.731417107583618,
      0.703231018097813,
      0.587855935363519,
      0.486490134604666,
      0.41978283888108,
      0.137909552474137,
      0.0522729829450938,
      0,
      0.0297049785767664,
      0.0981701828685278,
      0.184782130958954,
      0.178173732275167,
      0.205128129824674,
      0.1650454961163,
      0.17841049927749,
      0.389814761516824,
      0.112187917034487,
      0.0873655473292521,
      0,
      0.390312755739468,
      0.150350859081039,
      0.190200164315443,
      0.105149981176911,
      0.00267763335948693,
      0.0258315705655079,
      0.178494357268353,
      0.590269763402217,
      0.607286293777676,
      0.616158562167604,
      0.454844356044023,
      0.366188190700816,
      0.235824161320974,
      0.683388671353327,
      0.672602256241044,
      0.70269381968785,
      0.589747164917405,
      0.471691373453652,
      0.742391871285859,
      0.72650766412202,
      0.72875687405746,
      0.617589857400054,
      0.505845339310973,
      0.398326405813462,
      0.267026099235993,
      0.669420017412803,
      0.650561808912104,
      0.525820706032594,
      0.4250328949146,
      0.523790299651538,
      0.503344079382787,
      0.535288274972735,
      0.434185118730283,
      0.325440856923264,
      0.910318631880963,
      0.899964485033963,
      0.870605365403142,
      0.611141875070176,
      0.410647011016545,
      0.308755381525972,
      0.681699152855425,
      0.70656377511377,
      0.599971042433793,
      0.475729630823902,
      0.704401846877002,
      0.596760367991487,
      0.4649111348113,
      0.354064925514552,
      0.235149331472622,
      0.337681600705899,
      0.116328722694025,
      0.0257235689469725,
      0.127424671187489,
      0,
      0,
      0.202257326456415,
      0.368294266861004,
      0.0500031637096704,
      0.105233797783785,
      0.0427864901003506,
      0.331184156363871,
      0.104366985470436,
      0.18042911577407,
      0.187140645244279,
      0.125318128574051,
      0.0220953916832682,
      0.156449637437806,
      0.222738723163321,
      0.30601829641008,
      0.0200209492052741,
      0,
      0.338898410170272,
      0.204287264949411,
      0.104169832363874,
      0.202452479529953,
      0.148608441380071,
      0.0740819122483767,
      0.181876197343066,
      0.260445058372301,
      0.280280807843834,
      0.107333156082937,
      0.0757946323859053,
      0.254919147581398,
      0.353737201653651,
      0.226953171823541,
      0.145167054227388,
      0.166575622810591,
      0.356510433006818,
      0.188721880112082,
      0.241309546751321,
      0.302507492466851,
      0,
      0,
      0.20566579576435,
      0.594589813779533,
      0.586109347379801,
      0.586045571372636,
      0.496742152018267,
      0.373120373145372,
      0.221946915118539,
      0.682053090324782,
      0.673926511098093,
      0.707932090302276,
      0.599797306885785,
      0.47856295924621,
      0.742596221775065,
      0.739946193657242,
      0.729519321114558,
      0.629322817339804,
      0.511690100108336,
      0.395385931749831,
      0.269940786892588,
      0.670961394285587,
      0.649844130205625,
      0.532030827298007,
      0.42857457008715,
      0.543536428650616,
      0.514579042080883,
      0.53459522132313,
      0.428594093857365,
      0.273885481676987,
      0.866161447711741,
      0.827524013328336,
      0.723781896790162,
      0.576825431314476,
      0.442130066453814,
      0.343892514449264,
      0.684200368158553,
      0.709898030351148,
      0.608507570132416,
      0.475027070445297,
      0.710158230005818,
      0.594427541040388,
      0.47108611856856,
      0.353828103385102,
      0.233184549070651,
      0.378970700532385,
      0.109947738764988,
      0.510450481705133,
      0.541396784076485,
      0.536196036561929,
      0.423917851118638,
      0.273762305699809,
      0.74615977775836,
      0.712868566907781,
      0.72166066719247,
      0.656305702388591,
      0.531745667873833,
      0.41873882949936,
      0.671745452844205,
      0.635401689081235,
      0.687527229620851,
      0.570824400018894,
      0.455812360855605,
      0.28676042428372,
      0.742138895125115,
      0.713966424660236,
      0.58999348678408,
      0.504142500839021,
      0.368095586881353,
      0.167241152005492,
      0.0557859604721243,
      0.127681332902223,
      0.0553584208094802,
      0.081958361393096,
      0.119173656503335,
      0.240543523561045,
      0.144451792268223,
      0.112358088427737,
      0.146226732807231,
      0.381661653844658,
      0.121241553996754,
      0.165598217128313,
      0.121475525923698,
      0.280856104422889,
      0.0961796961016687,
      0.134786275521582,
      0.157597090362434,
      0.00292645032206192,
      0,
      0.247011647796522,
      0.574688693954606,
      0.666091979729705,
      0.754925269471403,
      0.463891361995621,
      0.367847630930135,
      0.289525557937452,
      0.678085687220607,
      0.673934200304842,
      0.710716708413401,
      0.6035138363875,
      0.481691267441153,
      0.754508786875215,
      0.751579029582579,
      0.723996772879491,
      0.632074865242648,
      0.520410199259943,
      0.392862818246085,
      0.269158924725365,
      0.673363519785928,
      0.647619196621079,
      0.543514022726022,
      0.424707420779916,
      0.544697574399923,
      0.548866562137213,
      0.564385624091377,
      0.440281506212662,
      0.346421114508707,
      0.705294539016627,
      0.634353353419489,
      0.622851856292261,
      0.591815770807091,
      0.438298590173944,
      0.317515734207081,
      0.687684319476166,
      0.72305772615021,
      0.613146888192021,
      0.481997825533838,
      0.720535187487806,
      0.579587131366625,
      0.470778326612549,
      0.36366893105954,
      0.247030051516878,
      0.35387323845574,
      0.1287127485012,
      0.522691677291176,
      0.554374361756405,
      0.512769734526077,
      0.42044269608877,
      0.32202912023916,
      0.750062792345202,
      0.723406906727999,
      0.719483344830851,
      0.659630051328704,
      0.538751919332555,
      0.425431594910562,
      0.678706794078726,
      0.639794110864508,
      0.687548094894024,
      0.576210872209977,
      0.455513013872842,
      0.361526296199567,
      0.745032453395974,
      0.727557245657542,
      0.598010177583953,
      0.489068414094016,
      0.355428516915275,
      0.0149281572291683,
      0.139024958457407,
      0.182218165315388,
      0,
      0.148473333673162,
      0.203424039890396,
      0.288288802306298,
      0.17220203644185,
      0.0364817471333473,
      0.282406028247597,
      0.374644637396479,
      0.11146765496416,
      0.14034063229705,
      0.163286740484827,
      0.142424995105356,
      0.221102461188718,
      0.258893989838686,
      0.266573861012933,
      0.00199823032581622,
      0,
      0.0804684366089546,
      0.780539012498664,
      0.830717200750835,
      0.875172500550346,
      0.486281368120964,
      0.381123084661444,
      0.306978900849665,
      0.687797046380037,
      0.671408971377888,
      0.715546221881203,
      0.616231164351994,
      0.487333491181532,
      0.754680413650068,
      0.762394367553321,
      0.735201592955362,
      0.633598392912073,
      0.537971026866316,
      0.397682687684343,
      0.286217662772582,
      0.681402565871031,
      0.657604852656061,
      0.555865214083843,
      0.43471865054588,
      0.573668260727589,
      0.563711706997267,
      0.579819370237113,
      0.435089261652764,
      0.397403134534174,
      0.26985186081201,
      0.610356711162181,
      0.631500300462128,
      0.584559944587695,
      0.455515097018025,
      0.321913357207304,
      0.694160207225586,
      0.72931418899233,
      0.604962967991596,
      0.479100467881219,
      0.737915535987961,
      0.602555628588105,
      0.473739484602274,
      0.36553437572076,
      0.255130319945288,
      0.313918577231833,
      0.162772818638073,
      0.0444427380868826,
      0.158980010395922,
      0.0308188382115043,
      0.268340444189401,
      0.179604641609587,
      0.381099808674339,
      0.078655934172087,
      0.134946050098668,
      0.0726334263312038,
      0.332274636269152,
      0.0637780087957083,
      0.190662581198953,
      0.21156920344671,
      0.135201536023029,
      0.0278156308375355,
      0.124226648841405,
      0.369484132789879,
      0.0838385848937936,
      0.0768268029106887,
      0,
      0.0780205259676597,
      0.11477685474226,
      0.0131642622289482,
      0.0956729381984555,
      0.0190521292065984,
      0,
      0.13681507462554,
      0.122250559640439,
      0,
      0.0635130070187033,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0200016521807543,
      0,
      0,
      0.0337603433721335,
      0,
      0,
      0.0519760729152307,
      0.0900838118985423,
      0.138992569008709,
      0,
      0.0698476834215563,
      0.0501033056347974,
      0.0310784197447174,
      0,
      0,
      0.0487253152293262,
      0.0224529808284565,
      0,
      0,
      0,
      0,
      0,
      0.108671421234884,
      0,
      0,
      0.0495524204241074,
      0,
      0,
      0.0524059420671739,
      0.00566506529549218,
      0,
      0.137703363885621,
      0.217417770975098,
      0.140132655919753,
      0.119662608033093,
      0.0791670446928593,
      0.401846027240677,
      0.133333949161111,
      0.182578202189574,
      0.123253812494896,
      0.106734398263928,
      0.0682413254990326,
      0.157587970363683,
      0.171047263279511,
      0.29344579979451,
      0,
      0.0748496127426185,
      0.263103722394837,
      0.313267488242664,
      0.0495345124929936,
      0.181795775795228,
      0.175599035720752,
      0.192929166842103,
      0.182410242354221,
      0.19568399976145,
      0.323099278211626,
      0.169176467782681,
      0.0189309083109391,
      0.235228025437361,
      0.448932673096699,
      0.228272425805963,
      0.158430880190589,
      0.225499034060609,
      0.402730598861039,
      0.382782400707662,
      0.342643776196952,
      0.471122969096784,
      0.216326711312855,
      0.0320933406287786,
      0.151922613231755,
      0.696912862681421,
      0.700483877874495,
      0.741722633259276,
      0.623294755643896,
      0.494184826915324,
      0.40453845903627,
      0.522441897353995,
      0.512928525788555,
      0.556395280116117,
      0.438142398275214,
      0.344774574909189,
      0.581782220312352,
      0.523299563532659,
      0.584421313025583,
      0.467522514891478,
      0.401618224994963,
      0.337153228040559,
      0.566286704431514,
      0.502431683066038,
      0.52757834699646,
      0.398264125547621,
      0.296728320812634,
      0.663754433402426,
      0.63516313817436,
      0.685210459624357,
      0.574107460171258,
      0.454498817046979,
      0.770014087203595,
      0.779793770030002,
      0.819528649931023,
      0.561088050572335,
      0.416643538330953,
      0.310583462455164,
      0.581452126008021,
      0.604338614980667,
      0.499279484363496,
      0.385629999368793,
      0.532951726040615,
      0.411674200812485,
      0.329034811588212,
      0.210781342263021,
      0.0807429838032952,
      0.365793369724634,
      0.135526657747786,
      0.644655312035244,
      0.67027675680228,
      0.685490846777496,
      0.562065366221591,
      0.442607232905688,
      0.619422598527785,
      0.590854214206919,
      0.612517428316363,
      0.488662416061445,
      0.453689317526559,
      0.255659638115533,
      0.50026536154587,
      0.515242413642117,
      0.535558513982507,
      0.412340024661517,
      0.292267157346686,
      0.332306597496905,
      0.554724009354483,
      0.564607215528438,
      0.46822263141261,
      0.321851272537337,
      0.338654353346014,
      0.167223319398667,
      0.0602693211636422,
      0.0614967553641002,
      0.148834753723611,
      0.202749693598515,
      0.224500466033049,
      0.218248435838723,
      0.237904953912395,
      0.255939657982899,
      0.14827310143368,
      0.425602387516767,
      0.0800566941960814,
      0.147593846469462,
      0.00564888692470515,
      0.376390499966469,
      0.192463681922127,
      0.256411433794669,
      0.139381441950276,
      0.0819166594646943,
      0.0427574201445049,
      0.202346706721294,
      0.701883262564034,
      0.703897324477177,
      0.738541617354743,
      0.618635828378715,
      0.501443486533162,
      0.367910466198071,
      0.546373121268407,
      0.51945905192796,
      0.559412838427743,
      0.448219934245993,
      0.320576725478035,
      0.555481754688742,
      0.508932846989044,
      0.569929451169057,
      0.477830259655152,
      0.388196874180256,
      0.204746232252242,
      0.134679238783054,
      0.495312889956997,
      0.529261753762478,
      0.403480814656467,
      0.305730525698712,
      0.670216541072988,
      0.628166158999484,
      0.685947984891303,
      0.571259345127118,
      0.470537165549297,
      0.822352847937296,
      0.819611817114512,
      0.823854760744464,
      0.591633272836372,
      0.423718052350428,
      0.299024093825048,
      0.584389577686992,
      0.610965078716744,
      0.514492003476187,
      0.376253830178766,
      0.522466048350533,
      0.409678923852184,
      0.303703510714346,
      0.138018952622331,
      0.154116176708712,
      0.357511385451822,
      0.187045734346329,
      0.0830743031477154,
      0.163717636898439,
      0,
      0.00738709278734042,
      0.163999267242309,
      0.353492059179613,
      0.0671037408919547,
      0.139890217692589,
      0.0364186103666265,
      0.438093637164249,
      0.0468593522425814,
      0.219992461012257,
      0.203563380092945,
      0.131210410756756,
      0.0463263948572955,
      0.16903435674115,
      0.224730793781487,
      0.26362520364012,
      0.0142796405814582,
      0.0761385017501472,
      0.35422774005649,
      0.192868497279846,
      0.0623314201432836,
      0.188113801975003,
      0.211213840731621,
      0.103135834379932,
      0.180073719039313,
      0.201458292446738,
      0.299563869247196,
      0.13502125752576,
      0.140262177716506,
      0.231524973537034,
      0.389795742078547,
      0.215101744446824,
      0.158707354204773,
      0.209391984149819,
      0.375845763496361,
      0.367593190373728,
      0.429845206844649,
      0.46496673750122,
      0.0551667226840345,
      0.0535813014974328,
      0.192295406120624,
      0.699579250057156,
      0.693507726007256,
      0.729148302338276,
      0.63140501434892,
      0.476341629326752,
      0.385751542939517,
      0.531102640698976,
      0.516741649198187,
      0.560838907456105,
      0.453639644994447,
      0.359127098152091,
      0.581110108853383,
      0.512882405956149,
      0.582362974143615,
      0.472099022196238,
      0.247646411352023,
      0.274413187861622,
      0.150978080040162,
      0.497247881313895,
      0.527485270769532,
      0.423421515535799,
      0.27878616639339,
      0.674964499818907,
      0.63291341492481,
      0.689873659120754,
      0.577841540973291,
      0.456773882338533,
      0.815768049648038,
      0.785181667701536,
      0.743342173515843,
      0.578902169494759,
      0.445514615275633,
      0.345977704510357,
      0.582808950375672,
      0.612986770307922,
      0.505262254950042,
      0.378387228467161,
      0.545253336029165,
      0.435895020527738,
      0.332860843648459,
      0.228326733196356,
      0.102134820892023,
      0.419835334838195,
      0.135742404446292,
      0.660147865714253,
      0.677338307593067,
      0.695028857357822,
      0.574537696609738,
      0.444107591038478,
      0.626243626286672,
      0.612297152715825,
      0.622229092507216,
      0.504569359099185,
      0.471625897657345,
      0.273586476688816,
      0.50576707541538,
      0.525646122930939,
      0.541023747840066,
      0.42110939081008,
      0.280474729136746,
      0.316909677605214,
      0.534115015277086,
      0.546071476005048,
      0.480523143084107,
      0.424192482242182,
      0.274695488288132,
      0.201473763242159,
      0.0942093751723023,
      0.229098429645042,
      0.144285153765809,
      0.158916858589684,
      0.195196435441597,
      0.301113376287417,
      0.140510971658686,
      0.110111335622212,
      0.192018611344599,
      0.380090928471582,
      0.137978988892935,
      0.20510414275258,
      0.0957467338658141,
      0.33265846692672,
      0.149727567223076,
      0.218829184866343,
      0.175479469224186,
      0.0406692868920505,
      0,
      0.23535612744171,
      0.702019553460396,
      0.67715722174435,
      0.713456397366632,
      0.632189298065853,
      0.491976800407298,
      0.412743369383753,
      0.527815837912876,
      0.525439676551386,
      0.563035913887451,
      0.458049351467687,
      0.334784923793696,
      0.549051172018045,
      0.534939935241464,
      0.557785040412471,
      0.503338548728188,
      0.36081913860116,
      0.261597642458271,
      0.141514331382465,
      0.49334422798147,
      0.530084211291316,
      0.418332127734329,
      0.307570289642731,
      0.67872879204295,
      0.624236250083434,
      0.697115910137338,
      0.585686371937641,
      0.468370813527246,
      0.711888717402702,
      0.64167554944804,
      0.63071350756387,
      0.607197747332567,
      0.433866898478215,
      0.320556950795175,
      0.588761399426974,
      0.625172223432737,
      0.522144812944507,
      0.380363309841011,
      0.541637690139897,
      0.443343501439733,
      0.306715305293891,
      0.158205953923941,
      0.073893307050913,
      0.36775204232691,
      0.18785801091905,
      0.661370358597527,
      0.687838327355361,
      0.690857410076069,
      0.5815953111902,
      0.459571057237295,
      0.636306209218602,
      0.635830844451636,
      0.632255699751433,
      0.511890818924272,
      0.424910830655684,
      0.308306309053287,
      0.575865132968038,
      0.530869859107256,
      0.543967445315931,
      0.439187124622329,
      0.38595729218966,
      0.496057944583911,
      0.552920807600912,
      0.571478724935724,
      0.492553477107933,
      0.367600035453313,
      0.246656087160885,
      0.122527413801046,
      0.162393952866876,
      0.231183759906437,
      0.0295829956651655,
      0.131539332173364,
      0.216450865677966,
      0.293865552330499,
      0.132488967316372,
      0.106749012024556,
      0.250718407727383,
      0.385950313933997,
      0.150209248461428,
      0.129815490241108,
      0.258626407235926,
      0.0904431780938782,
      0.390398919998429,
      0.458935123556519,
      0.439526695173784,
      0.0772179456835452,
      0.0897632867976384,
      0.0944837133357403,
      0.717343513422136,
      0.696278759219211,
      0.760426331106483,
      0.642564808721043,
      0.51417169073891,
      0.412734618464883,
      0.53878299076217,
      0.524803586240322,
      0.566052058614792,
      0.477726828398378,
      0.353870754309359,
      0.556504593598654,
      0.574237859526274,
      0.600925900855203,
      0.489405716844535,
      0.450886998780457,
      0.284433180095953,
      0.216321484604617,
      0.49581579462159,
      0.541284755636572,
      0.463928539738411,
      0.242975374098172,
      0.675123458868564,
      0.636370095499342,
      0.692180026966865,
      0.588602795591792,
      0.480440687228837,
      0.369736658034295,
      0.609449038868879,
      0.630595385527689,
      0.588991209431156,
      0.44690005030879,
      0.326963595481839,
      0.600144030019376,
      0.633987704054737,
      0.519970931671049,
      0.385324179048496,
      0.57232306651189,
      0.441326551209502,
      0.292254624265286,
      0.195881596929957,
      0.15078587606986,
      0.343270622141156,
      0.158531603283789,
      0.0679587576337775,
      0.182708311091893,
      0.107213484245018,
      0.483013884137247,
      0.24272707476225,
      0.448656316384198,
      0.123621831103402,
      0.180778930821806,
      0.453346276986697,
      0.358875053610878,
      0.378808377163722,
      0.229646054257013,
      0.220439908877859,
      0.0915931223681073,
      0.0740351560259688,
      0.173674983994643,
      0.360022191885971,
      0.0658868677464,
      0.0518936021180666,
      0,
      0.121964229199882,
      0.180120663524662,
      0.0971733938648637,
      0.073800697253948,
      0.100881692924668,
      0.296374588147525,
      0.180334752711937,
      0.10710424185095,
      0.0157647850864239,
      0.063857649850026,
      0.0439989535810505,
      0,
      0,
      0,
      0,
      0,
      0.0178771330037991,
      0,
      0,
      0.0259311927818396,
      0,
      0,
      0,
      0,
      0.35540445409023,
      0.00507135880052451,
      0.165769559787844,
      0.0782753588881285,
      0.21250628794211,
      0.0533297464334674,
      0.0779429780348958,
      0.0457217071459468,
      0,
      0.0484666356401195,
      0.0149266434301312,
      0,
      0,
      0,
      0.0593115052067551,
      0,
      0.0810238778196979,
      0,
      0,
      0.104428845050027,
      0,
      0,
      0.121418063368963,
      0.0400766989983886,
      0.0457888062264782,
      0.145123762377317,
      0.25240922897914,
      0.202786559845645,
      0.14769150563057,
      0.115979437556431,
      0.353559425543763,
      0.165433506990384,
      0.493851986265259,
      0.444797213437125,
      0.381839416395424,
      0.0958474773315426,
      0.503817192212683,
      0.578275140252541,
      0.443798637324207,
      0.260153519804186,
      0.102825570818759,
      0.602123288158193,
      0.394744127173981,
      0.0849433217801615,
      0.206428080177739,
      0.222091537206254,
      0.319746984881131,
      0.325614779907882,
      0.167990409464555,
      0.473844740638036,
      0.387231844326288,
      0.0920628676559712,
      0.394752429579444,
      0.658623385776863,
      0.469752177750818,
      0.441452737500346,
      0.493568386662852,
      0.646236081488652,
      0.478982695841919,
      0.512429846360962,
      0.464346713422327,
      0.425364236427965,
      0.198787016596916,
      0.544169952093689,
      0.613728988680719,
      0.617034260029019,
      0.655519635293865,
      0.513174253461624,
      0.394454462426802,
      0.319998446237568,
      0.476345770210523,
      0.446793267676099,
      0.515628691828663,
      0.392944707011778,
      0.322728566765741,
      0.623200389445921,
      0.507761928806842,
      0.512887094577226,
      0.366520105417382,
      0.621618527293689,
      0.442713747823886,
      0.591498171713859,
      0.44292909839794,
      0.431807194807272,
      0.305001045197971,
      0.499862394424572,
      0.557505890301045,
      0.528547054837097,
      0.581880864625488,
      0.467345988506323,
      0.348236026028215,
      0.725162474780896,
      0.766221676269232,
      0.790497622416084,
      0.470132613453066,
      0.438432554968117,
      0.201200632430267,
      0.556187908104484,
      0.549619389574516,
      0.426768066056184,
      0.314319157114961,
      0.564290775639756,
      0.646384765532758,
      0.46850357989335,
      0.435801820639066,
      0.321295088642607,
      0.658456503519498,
      0.397770384053215,
      0.532987852377203,
      0.558349479028498,
      0.575782698588173,
      0.454773986266607,
      0.332470743235543,
      0.561321685548117,
      0.553625653422063,
      0.51830022917616,
      0.445913080082594,
      0.368256752766676,
      0.2443586053439,
      0.51863591644486,
      0.49885919294631,
      0.450943592687516,
      0.318821992018794,
      0.509483649770678,
      0.598616030201347,
      0.542100065492515,
      0.502698608997651,
      0.366097440681554,
      0.611113234994252,
      0.382019847327818,
      0.267116273067934,
      0.039632935555502,
      0.101750970020488,
      0.164494868643613,
      0.207723080677651,
      0.212958191933763,
      0.234671460169438,
      0.221001068270623,
      0.239936783422992,
      0.193874088350314,
      0.66352610965586,
      0.476900509721807,
      0.442729168964761,
      0.326588581582248,
      0.622740704395415,
      0.482417981883288,
      0.529483095942381,
      0.452013848691368,
      0.427347946865074,
      0.190517464005893,
      0.552611288226882,
      0.634371590232152,
      0.624158054152476,
      0.658481180313458,
      0.513625313512474,
      0.396950382605909,
      0.293123063049894,
      0.510847130865121,
      0.468218597746207,
      0.517954608081724,
      0.405408707974216,
      0.286967240730215,
      0.610656279560425,
      0.497498796681608,
      0.512603880793068,
      0.45050994921937,
      0.629265218816508,
      0.413821055001937,
      0.490937594938547,
      0.456627312283339,
      0.42602012651024,
      0.316050424174485,
      0.504701929069684,
      0.563710568015287,
      0.532449927374166,
      0.57507950427186,
      0.460837439282857,
      0.370854475362826,
      0.800232400152113,
      0.809408084225701,
      0.793459816059805,
      0.501360755424455,
      0.381430130798015,
      0.249486852206847,
      0.566510224438622,
      0.570534335612153,
      0.511703182478495,
      0.325653945140796,
      0.575691412888124,
      0.651415385034658,
      0.466787130829427,
      0.442213928815357,
      0.318408889859986,
      0.65398064575191,
      0.410778374064397,
      0.102677917520884,
      0.116410042410264,
      0.0652502485748062,
      0.120577392875334,
      0.127322505105973,
      0.326657048739033,
      0.0765855338307896,
      0.212143014927931,
      0.142021801015645,
      0.414835568598479,
      0.102181016860836,
      0.50170312280544,
      0.451084895201532,
      0.395252792151312,
      0.102548793655025,
      0.514460175136416,
      0.593586600827865,
      0.467247526207183,
      0.270997306972834,
      0.117537732252353,
      0.619402157999304,
      0.397171483490755,
      0.163199424342199,
      0.292135079729185,
      0.440023661406562,
      0.220949086232819,
      0.411390628745622,
      0.200295684869774,
      0.354354212706419,
      0.37899621853999,
      0.165815069277038,
      0.452121443272402,
      0.653071349186219,
      0.477950391077423,
      0.443285753748643,
      0.521010786164372,
      0.532081661823978,
      0.482148856401149,
      0.530480196402727,
      0.466723039238969,
      0.422404179131038,
      0.196775739051754,
      0.5573257815371,
      0.635102539965726,
      0.629037620279717,
      0.657811815862661,
      0.527032053383663,
      0.360223557790431,
      0.28333992369253,
      0.442397273304942,
      0.465623779455661,
      0.517641094866215,
      0.40842094944141,
      0.319284399586023,
      0.619103383631769,
      0.486638262778747,
      0.520249411730762,
      0.384646048904379,
      0.624191382342689,
      0.432759478032593,
      0.489944227593546,
      0.460920436536235,
      0.414713805221733,
      0.328420104539263,
      0.507104070936682,
      0.566384472088975,
      0.528533015164863,
      0.586340029635141,
      0.463453999122539,
      0.363567724367482,
      0.798801328365728,
      0.776636758295468,
      0.708025428187383,
      0.484462077777491,
      0.360317941256416,
      0.377330457380232,
      0.588227938046808,
      0.526278928618282,
      0.47412547927781,
      0.310600179970841,
      0.596494623195777,
      0.660070133060962,
      0.466874889728799,
      0.438246962735897,
      0.328483511562642,
      0.626827763100051,
      0.0838698157942312,
      0.554077008942621,
      0.571606978588786,
      0.588217768843063,
      0.466801829873996,
      0.336625517407842,
      0.554057406591126,
      0.596366546444805,
      0.605404700798879,
      0.457843468480219,
      0.425215396940195,
      0.230958895116645,
      0.533397423956143,
      0.496386476194169,
      0.45765172759609,
      0.33028097093981,
      0.525122633079328,
      0.630801794579795,
      0.53075990469732,
      0.453497661528685,
      0.496740842928728,
      0.61043297765612,
      0.404648790311598,
      0.26475496016571,
      0.0499734341004196,
      0.257320087775166,
      0.159095285925031,
      0.131827576549802,
      0.18596523943878,
      0.28120048929531,
      0.129322401379634,
      0.103632360063992,
      0.218226014027599,
      0.610328583280165,
      0.47793189431671,
      0.442280813815936,
      0.336136991602053,
      0.427340493291632,
      0.48452441059139,
      0.537331887225392,
      0.463058776925359,
      0.422620376059438,
      0.235816680843862,
      0.565115323003592,
      0.6434548450597,
      0.630617745906399,
      0.664353946588442,
      0.533906139216747,
      0.408685898523403,
      0.344436446577505,
      0.500887511784086,
      0.477965127900119,
      0.532846404483166,
      0.401349666757308,
      0.296222515136566,
      0.620172589115596,
      0.531226289930022,
      0.513250782557992,
      0.380434842188591,
      0.632535033619998,
      0.438103737540358,
      0.499489260429731,
      0.465606361852349,
      0.439913375768418,
      0.323761616281879,
      0.510836025217048,
      0.572519858451202,
      0.524880576816611,
      0.607094606130362,
      0.472828021201811,
      0.372097904317623,
      0.697207841906331,
      0.631052406280141,
      0.46900036982018,
      0.504738085556483,
      0.383328750483795,
      0.285286038902331,
      0.578131824778242,
      0.558002278842366,
      0.442496476301356,
      0.338198082051506,
      0.593868323115611,
      0.649785917587656,
      0.466357958229718,
      0.451001321421383,
      0.340481416161469,
      0.559714421219361,
      0.435741582579923,
      0.553452859001439,
      0.579168939700645,
      0.591284770045468,
      0.474638740935434,
      0.348516306640118,
      0.58935104308196,
      0.631285218650116,
      0.606532741469641,
      0.462166537300426,
      0.375312608611512,
      0.305030525451342,
      0.517894541548381,
      0.466175541428315,
      0.445658107416138,
      0.388495542351248,
      0.49155749235761,
      0.401478367726688,
      0.468657376016926,
      0.496615454294419,
      0.391048544395699,
      0.28270800676915,
      0.169518880243012,
      0.1598751606464,
      0.319079161885971,
      0.452019800853964,
      0.170141060610481,
      0.313909853108801,
      0.194565118503715,
      0.320079547109956,
      0.397278257856123,
      0.0610196821358806,
      0.483691536396673,
      0.552940412602001,
      0.485334689266509,
      0.440078518749072,
      0.496539986685094,
      0.444581503134827,
      0.492093018041088,
      0.551055024625923,
      0.468301226838259,
      0.426213091256886,
      0.210211421866757,
      0.162302467944993,
      0.663965953344258,
      0.651254836017557,
      0.708284599057857,
      0.532630710411639,
      0.432830713435092,
      0.316105455643233,
      0.493465383735578,
      0.46556646258983,
      0.527058362863437,
      0.425282351751246,
      0.335190440288303,
      0.621363267040483,
      0.554070375171387,
      0.564083016113491,
      0.401269109651836,
      0.64142915721006,
      0.449073648209093,
      0.502175233949343,
      0.479343450943069,
      0.437095981885926,
      0.352915591182127,
      0.524867704770086,
      0.582069084569172,
      0.556681925822441,
      0.604279146376476,
      0.479898688296694,
      0.365761497742243,
      0.296942014611441,
      0.459681691165462,
      0.460726560453984,
      0.477382030936986,
      0.375575146381738,
      0.272140041996015,
      0.569865465791659,
      0.554959296353374,
      0.481611573610436,
      0.30009401155466,
      0.605917141829164,
      0.623164264734895,
      0.464560552915182,
      0.441959692846795,
      0.338805916490272,
      0.437026015138882,
      0.447274669930734,
      0.0990590534217079,
      0.170104047606161,
      0.274741401098081,
      0.409678057866382,
      0.368896718953939,
      0.409322196448183,
      0.182205797267862,
      0.308755605740547,
      0.520263801429968,
      0.455946310518608,
      0.483136711627242,
      0.542493101328137,
      0.386482192855176,
      0.52005113309991,
      0.193927304208086,
      0.543677375054949,
      0.628404047592989,
      0.469355467893674,
      0.314500849882755,
      0,
      0.361028650459311,
      0.342352414753104,
      0.363028991851736,
      0.367991399863213,
      0.33734306623925,
      0.396610027998999,
      0.344161322070493,
      0.293149377246061,
      0.0494019938689185,
      0.0880604772597864,
      0.113659813140216,
      0,
      0.0590838761821127,
      0.039269929278415,
      0.0182622439601618,
      0.0205623549574002,
      0.0414823002390763,
      0,
      0,
      0.00363649325904561,
      0,
      0,
      0.0135379035289505,
      0.0290382206903835,
      0.432007752012586,
      0.349671627488847,
      0.418483383568485,
      0.289489303970867,
      0.367520265758847,
      0.0811240393986291,
      0.0678153223058013,
      0.125892298136377,
      0,
      0.0339325181133445,
      0,
      0.00205184982988263,
      0.0231483080847825,
      0.0540997699996805,
      0.100073785605222,
      0.0326017160757263,
      0.112890027050618,
      0,
      0,
      0.0628657223661509,
      0.0178924562578569,
      0.0619221582092303,
      0.172003374526582,
      0.11901367588728,
      0.118479304226414,
      0.367019436363051,
      0.629607113647368,
      0.430054138402325,
      0.467505110548161,
      0.339198542441059,
      0.667196823840212,
      0.463104538246191,
      0.549362056742919,
      0.501237513869195,
      0.454967544486269,
      0.286870831435358,
      0.559885947198363,
      0.629042073614206,
      0.508126087215783,
      0.313536659535854,
      0.0594324495508717,
      0.655092717018188,
      0.444001761039968,
      0.132765459585818,
      0.608877935909075,
      0.331692031913827,
      0.442901736733883,
      0.431685562301731,
      0.569415724352874,
      0.51582353978339,
      0.503346363731916,
      0.269369927462859,
      0.578136401846929,
      0.733874458706712,
      0.591675835706453,
      0.566048054241203,
      0.531890471032965,
      0.704464872281674,
      0.534074942522404,
      0.562929983826883,
      0.515865287193344,
      0.470507552415099,
      0.25943269903912,
      0.59139847916613,
      0.541473293469546,
      0.50927058401203,
      0.488053641337323,
      0.442481151293632,
      0.34308194826832,
      0.220222906894963,
      0.53412813905521,
      0.466414359380392,
      0.429204595145939,
      0.262462417401694,
      0.533182925516884,
      0.654376322783281,
      0.540471068067718,
      0.488990392750995,
      0.337481596518163,
      0.675421764010635,
      0.467025165805337,
      0.580789894620339,
      0.471823127024038,
      0.322806497925905,
      0.265222528104261,
      0.556946086541628,
      0.543759686198699,
      0.539792862753164,
      0.517639350482147,
      0.412683440581469,
      0.289103280990674,
      0.774655386891892,
      0.772905891313552,
      0.788063452661073,
      0.529756877478246,
      0.578780665109666,
      0.504246554044418,
      0.596093286081541,
      0.54167181502148,
      0.464281576499453,
      0.270736738544254,
      0.617149956224437,
      0.717133061695114,
      0.524410295146056,
      0.489804413098051,
      0.382914519356266,
      0.720885266268287,
      0.454696805690895,
      0.512184706753692,
      0.549265026837063,
      0.544582145821064,
      0.390341051908277,
      0.283252364149237,
      0.65137932408229,
      0.481711542682046,
      0.4852762702562,
      0.308714634167379,
      0.656730247504329,
      0.485688777003131,
      0.569666281805753,
      0.534396836524898,
      0.448179711555784,
      0.188653312439322,
      0.566235530475356,
      0.64733139041299,
      0.569508088757996,
      0.467238005566156,
      0.254741315051528,
      0.664995029026872,
      0.458732754134306,
      0.422725430944177,
      0.0655548718903434,
      0.118762746360802,
      0.177670151441705,
      0.200050642182971,
      0.582654134028861,
      0.487848021999636,
      0.461382505266046,
      0.279958348575072,
      0.593657874876794,
      0.728708902139982,
      0.532125437284017,
      0.49462294578117,
      0.384110792312976,
      0.677499986426762,
      0.536446552621741,
      0.587943305063975,
      0.549719278659196,
      0.482572087706171,
      0.263184182512331,
      0.603980238325771,
      0.550812916274695,
      0.470165677098101,
      0.508581717900089,
      0.498800784824219,
      0.388556166256188,
      0.379902854702048,
      0.521172432990925,
      0.473640219099731,
      0.374712252475594,
      0.272412030961226,
      0.537404191603701,
      0.648126106743342,
      0.54027869565243,
      0.474153140595798,
      0.400907885616201,
      0.67374430301164,
      0.470132048227593,
      0.548223573426604,
      0.492501773604783,
      0.325170897005951,
      0.289158354543167,
      0.55952047764713,
      0.533919878787664,
      0.545102330183419,
      0.506442990090256,
      0.360683138019977,
      0.287045617738973,
      0.819018090649429,
      0.814007906240321,
      0.788315651708156,
      0.512455658254434,
      0.434378128400692,
      0.507218019217958,
      0.602207983603263,
      0.559999605480064,
      0.513141101321983,
      0.239827964448313,
      0.622512364086077,
      0.710010650343438,
      0.519989989371551,
      0.499352485953948,
      0.379412432390586,
      0.707259737091197,
      0.467792048747706,
      0.0491413286195714,
      0.169930397021084,
      0.162397895119661,
      0.182263355144181,
      0.389685166704608,
      0.638592456483124,
      0.447262222407379,
      0.470707986717228,
      0.359213233768033,
      0.670375426527308,
      0.512727884950206,
      0.561521928811426,
      0.50556080170746,
      0.476478065492561,
      0.272757690397253,
      0.567230366797239,
      0.64588927360636,
      0.518876023945424,
      0.327853931793476,
      0.11457214035894,
      0.668520078565187,
      0.458107225173566,
      0.211768188670919,
      0.58885876536062,
      0.582954732806446,
      0.353837135776125,
      0.556531772324265,
      0.580350445022455,
      0.52919811011665,
      0.421264662205933,
      0.325144425919126,
      0.611416797366274,
      0.703974089201617,
      0.592531774296558,
      0.534251005587711,
      0.562406311282861,
      0.622584254217355,
      0.542328482740279,
      0.576148943841259,
      0.512845475140445,
      0.476505208842804,
      0.257712256575107,
      0.607713321189175,
      0.534968629819551,
      0.5111552630067,
      0.580535943206139,
      0.433268348272731,
      0.390907535900459,
      0.244899108229731,
      0.496887792416424,
      0.471158044050959,
      0.407702716398165,
      0.274185278576016,
      0.545307155066695,
      0.668852525440521,
      0.536199286516368,
      0.518004342919414,
      0.370798623250246,
      0.685593572213198,
      0.490990390125665,
      0.548976122701836,
      0.49675974821467,
      0.315564799092287,
      0.299504968473949,
      0.562910006642485,
      0.544588777529957,
      0.550337412032358,
      0.516125460002667,
      0.422827835103601,
      0.321753104737298,
      0.800736535433753,
      0.782159524848247,
      0.705569204710289,
      0.532903418552071,
      0.417173433299209,
      0.517590491392094,
      0.607958683554028,
      0.527608912178444,
      0.500583361730454,
      0.273956995528436,
      0.636690072850247,
      0.702006638041406,
      0.521374568015394,
      0.49417382285043,
      0.384338429019943,
      0.677413897636119,
      0.155229717397036,
      0.527106302904051,
      0.554361304948032,
      0.505663015436944,
      0.394783023272969,
      0.281263822073116,
      0.656338770881361,
      0.491182224382343,
      0.536810257357963,
      0.31697811066572,
      0.684001421946513,
      0.494487190698098,
      0.579601448589955,
      0.532665430886246,
      0.466468377454525,
      0.274974546724004,
      0.577682156803109,
      0.666529354896559,
      0.555769703897246,
      0.491141852888421,
      0.527381569928722,
      0.659068232747348,
      0.465754380840348,
      0.379119233564655,
      0.086435303298419,
      0.198541679300463,
      0.153597039751338,
      0.152613338431146,
      0.606788935512225,
      0.485967555001623,
      0.445032334464972,
      0.275085461949644,
      0.615584754608871,
      0.674908414707977,
      0.531643359508677,
      0.50071365138368,
      0.388902887941159,
      0.461627012401303,
      0.540940884253747,
      0.582171383684671,
      0.556026628427244,
      0.471389791954973,
      0.303947663940426,
      0.606073334697643,
      0.564168093013693,
      0.566187821673591,
      0.584837703725173,
      0.495268983870383,
      0.44539048388656,
      0.364480085495251,
      0.565900236777694,
      0.480606844034922,
      0.451218588405231,
      0.286135774919723,
      0.552505399392166,
      0.669898282881717,
      0.544697674920502,
      0.48938195517662,
      0.351336941624533,
      0.692744465037853,
      0.494989693942194,
      0.556859913566826,
      0.508836139341826,
      0.366032318268203,
      0.27820336626037,
      0.564372622316664,
      0.554030839293043,
      0.529763955334213,
      0.533059870044699,
      0.309214592962383,
      0.411491620652415,
      0.691842640446886,
      0.642451495361017,
      0.536251626464408,
      0.554957892802602,
      0.425086614183264,
      0.520742706916833,
      0.609328153350272,
      0.549091662581245,
      0.498711639073561,
      0.314020272161576,
      0.633930672881972,
      0.697113413751894,
      0.522210771350042,
      0.506774673072186,
      0.394586197356151,
      0.610497894083842,
      0.490147814937154,
      0.528656514404638,
      0.642598776298283,
      0.563372235152107,
      0.409998527596789,
      0.606031020270143,
      0.549064896384026,
      0.532262329877961,
      0.506650628894359,
      0.394352508355336,
      0.427973568281107,
      0.405624468664883,
      0.556714328289723,
      0.448319192472585,
      0.489940435716749,
      0.425556689776038,
      0.403396413891756,
      0.225826520893384,
      0.418248635228665,
      0.474198987269239,
      0.296387191563504,
      0.311345130644541,
      0.187339702956661,
      0.209882360404988,
      0.477410479664165,
      0.598639296579219,
      0.241231780404146,
      0.582888251205564,
      0.605804566850698,
      0.472397995849466,
      0.460781750132997,
      0.332406444353908,
      0.619164378774891,
      0.618372055977754,
      0.598438738673702,
      0.503537512524972,
      0.545425317487182,
      0.512458096537162,
      0.540574589948523,
      0.599627780684755,
      0.508428121604534,
      0.482097175378093,
      0.317193358111903,
      0.232587050297587,
      0.600888941140391,
      0.638540781140531,
      0.712331782006458,
      0.452143845241411,
      0.411901924346149,
      0.266516163683165,
      0.547723522221537,
      0.466652540075701,
      0.42404536919305,
      0.282178313578543,
      0.562223299356175,
      0.687699777410878,
      0.578535506886095,
      0.519324182966043,
      0.40334914309235,
      0.696578302545763,
      0.504514323097712,
      0.557619109543559,
      0.51616761662147,
      0.358900728825491,
      0.286615583047324,
      0.577392890205111,
      0.529177223324437,
      0.520947395838876,
      0.532300799605915,
      0.428050406993661,
      0.36707136662267,
      0.275035473929094,
      0.565223431191851,
      0.514444522581558,
      0.537993958697019,
      0.428553700764541,
      0.528339262805201,
      0.619505009368237,
      0.551460315844904,
      0.51031468591355,
      0.29547048431522,
      0.642492916110883,
      0.66433726904921,
      0.522877581870438,
      0.497460412119341,
      0.395840532717087,
      0.478431465503194,
      0.503905697342367,
      0.0851663227522106,
      0.240162394949784,
      0.282069539254504,
      0.137963492743064,
      0.54836351512919,
      0.663687624065421,
      0.550378234397295,
      0.543893716986036,
      0.393217693141817,
      0.677086377178448,
      0.50369863309865,
      0.603347721553432,
      0.474934439446964,
      0.60955040800319,
      0.301205463624325,
      0.592773488993522,
      0.681475704335285,
      0.52529389991226,
      0.373727828849157,
      0,
      0.390869493627674,
      0.360843293605153,
      0.429987034175129,
      0.45528772359804,
      0.429187216329353,
      0.351136168630411,
      0.413810460115327,
      0.522620204944356,
      0.39786235131682,
      0.270525126222384,
      0.218620770987283,
      0,
      0.0326537678299804,
      0,
      0,
      0,
      0,
      0.0573359280626559,
      0.344648352837498,
      0,
      0,
      0.0109242822330815,
      0,
      0,
      0.482896989922463,
      0.384975379831894,
      0.483715906920685,
      0.471638437916241,
      0.496115169365023,
      0.304028137485829,
      0.315306769565745,
      0.34662636545053,
      0,
      0.0945859604979888,
      0,
      0.07672874724336,
      0,
      0.0272525577518698,
      0.0533537553501739,
      0.0250258612453123,
      0.123669221648819,
      0,
      0,
      0,
      0,
      0.080925188427715,
      0.0733082392306864,
      0.137956732077006,
      0.0758350742949487,
      0.440480804062903,
      0.65455842252116,
      0.452604032094355,
      0.501349842796144,
      0.359000579311236,
      0.680052076505367,
      0.502898937266667,
      0.453138891922795,
      0.353064842989013,
      0.514612735932931,
      0.422631989559555,
      0.509886693621938,
      0.616236932774995,
      0.461209774549899,
      0.291494086556813,
      0.136932287358825,
      0.628026021331425,
      0.45658282505257,
      0.204204822708142,
      0.611114510203687,
      0.496282793058574,
      0.396694628550218,
      0.498230399993333,
      0.599711204376485,
      0.562355807864102,
      0.496538488467935,
      0.450628771295031,
      0.595054289010458,
      0.723385593256303,
      0.693614681233361,
      0.603959879250094,
      0.513410485749167,
      0.553566118030194,
      0.470926729411215,
      0.528359251649872,
      0.458674798053444,
      0.402170639606619,
      0.232092700788322,
      0.537318589144228,
      0.598445885078137,
      0.56577075455393,
      0.554098924536044,
      0.462687601197641,
      0.377124041319571,
      0.220681803933823,
      0.548219587311177,
      0.481684503202584,
      0.389586708127048,
      0.256468624998136,
      0.559466778943391,
      0.640655921667874,
      0.47501754345615,
      0.436505295600916,
      0.326332094942004,
      0.654705609733738,
      0.430508824070363,
      0.555068125353913,
      0.413544565989091,
      0.309847362392621,
      0.29003647342877,
      0.511935331707677,
      0.566353702109329,
      0.563831842393199,
      0.538328566114858,
      0.430557627266319,
      0.326849745079867,
      0.719094932064604,
      0.743530720373743,
      0.758453868215344,
      0.399152979387488,
      0.598596107078484,
      0.526440332042485,
      0.562977518599353,
      0.443061326444236,
      0.406092996721625,
      0.252774673348255,
      0.5719946156553,
      0.714558349819801,
      0.46424188737104,
      0.434564589958494,
      0.322398803341524,
      0.608900841135501,
      0.432332450269837,
      0.549409169815806,
      0.576932441230448,
      0.565866630136408,
      0.407801007617342,
      0.304917230797974,
      0.671602531550244,
      0.485514561335952,
      0.505698023358922,
      0.27891469408099,
      0.677841336719053,
      0.512777477139503,
      0.520462507127927,
      0.459726212728011,
      0.419289775813416,
      0.471758584147622,
      0.555976954644067,
      0.617852768841053,
      0.488113912487079,
      0.50881271682907,
      0.135577254436546,
      0.637988118258835,
      0.508967471025478,
      0.498380841768962,
      0.437932519933896,
      0.4343898483676,
      0.260753782461505,
      0.225333130516484,
      0.624662725406093,
      0.509130717514499,
      0.491105400336783,
      0.340203049453961,
      0.61038021470307,
      0.640862889210989,
      0.483169310463652,
      0.434819928405647,
      0.355890533524873,
      0.570234284563683,
      0.548339383213766,
      0.652345097571936,
      0.545115302131324,
      0.573056498982776,
      0.291100998644539,
      0.564068240696501,
      0.603700874179079,
      0.5072686500404,
      0.572995962459386,
      0.545215387848158,
      0.394743670167701,
      0.339048203328799,
      0.550929390052843,
      0.493085870159656,
      0.405063417457277,
      0.269546820313374,
      0.562172769560163,
      0.636121795881639,
      0.475651036279819,
      0.43586445100159,
      0.362977281435773,
      0.660349159857759,
      0.439959426343849,
      0.505205361996362,
      0.421539694181287,
      0.242283222177953,
      0.226562253511791,
      0.515277376546698,
      0.56468070982873,
      0.5700929809388,
      0.537606619639552,
      0.411036645276309,
      0.414380205200367,
      0.764435468800744,
      0.785745305867462,
      0.7660695051446,
      0.448072635996413,
      0.454050310229682,
      0.52887931036117,
      0.575991149156412,
      0.424966561166984,
      0.38802249167745,
      0.246220096645845,
      0.593160867099984,
      0.683545051733657,
      0.47220995188608,
      0.452243586375719,
      0.356920805580476,
      0.547638717618419,
      0.437206497567703,
      0.091118507824409,
      0.115763491787191,
      0.134608530371969,
      0.0994849813963988,
      0.448057926128916,
      0.66275513632292,
      0.476606761576799,
      0.498950532094603,
      0.390690021639902,
      0.710826721822916,
      0.550795304610653,
      0.464652088312904,
      0.413667692185581,
      0.50329035203817,
      0.400352413097777,
      0.512099999193978,
      0.633718763477215,
      0.466005842105537,
      0.306646479606484,
      0.130687459344386,
      0.653848034248725,
      0.451187087821344,
      0.174255045940277,
      0.589680917913679,
      0.610813470892892,
      0.35736672973246,
      0.521698681882565,
      0.622238301167366,
      0.584565065408927,
      0.42150764466867,
      0.486219215642021,
      0.622820385191152,
      0.583015198246515,
      0.701511701516812,
      0.613094340375967,
      0.548065218296661,
      0.53998884682412,
      0.500270794452136,
      0.518719882940681,
      0.449342511328468,
      0.423162129873353,
      0.399831321808925,
      0.569970110317361,
      0.602125457378921,
      0.587642843756761,
      0.642917482623904,
      0.458628538596915,
      0.39909256702737,
      0.246643465828543,
      0.546237533454025,
      0.486732197493678,
      0.409647702270972,
      0.258027935300178,
      0.567133725191457,
      0.632302559809447,
      0.505798789207167,
      0.48117417278361,
      0.33702202769793,
      0.701290343969767,
      0.448063124048739,
      0.514932760904466,
      0.434319563008353,
      0.328121565111578,
      0.258818917228503,
      0.523885589761619,
      0.564997193214767,
      0.569561227158954,
      0.548809041479729,
      0.446328102975206,
      0.333569341582069,
      0.762484468360399,
      0.759015803127386,
      0.684680523869069,
      0.443498226417141,
      0.281934292720419,
      0.53798265345025,
      0.578946922262168,
      0.412026996979972,
      0.402128480706556,
      0.384955934580278,
      0.606816516213207,
      0.596057497240484,
      0.472429903360758,
      0.4343369460711,
      0.341459181598888,
      0.556158719738526,
      0.0984892823350439,
      0.544941781021548,
      0.573396211016081,
      0.526162150070699,
      0.421012697972377,
      0.30306735505612,
      0.678735971631301,
      0.507453469732032,
      0.51280512626266,
      0.298266804167899,
      0.729903685926982,
      0.518325419050817,
      0.512799339449945,
      0.429287693428801,
      0.40199837049608,
      0.268721190954739,
      0.571032951926625,
      0.644504144447986,
      0.475230447137592,
      0.464162183421079,
      0.329916338137002,
      0.676916902053201,
      0.445320051437618,
      0.475108940404803,
      0.445075242281939,
      0.414457219582189,
      0.414104156953034,
      0.180802830761378,
      0.626345618111112,
      0.506410419074783,
      0.465911463718969,
      0.305427931868644,
      0.634142018437938,
      0.584826931006933,
      0.47879307905418,
      0.445618981204527,
      0.379524888610318,
      0.548293357023273,
      0.577877670790684,
      0.585092817797033,
      0.561043631366131,
      0.577042525507794,
      0.288627181725406,
      0.564672414358916,
      0.630986552181341,
      0.616013675431828,
      0.658356534090168,
      0.526645421865935,
      0.428485647313251,
      0.36429334064395,
      0.589757689759114,
      0.507010733708164,
      0.459687444476642,
      0.264147224392408,
      0.573215732975847,
      0.682840964279765,
      0.542607884859638,
      0.531048578765169,
      0.318039250937833,
      0.724516287948835,
      0.471918188719842,
      0.523722698944238,
      0.431308605840062,
      0.290124063864805,
      0.270733562827142,
      0.527980545836701,
      0.576669255166936,
      0.570231840614863,
      0.544628068659049,
      0.340958139496253,
      0.516372594276888,
      0.678971008709961,
      0.617737820667735,
      0.495222906401826,
      0.503999776373339,
      0.294900729035357,
      0.548863817376297,
      0.599289180402778,
      0.392383039197706,
      0.386620021210399,
      0.283672505236231,
      0.612523087502724,
      0.543031484775653,
      0.480050384551072,
      0.435474499568869,
      0.36011785969034,
      0.519006537089386,
      0.468403780712532,
      0.555403995433664,
      0.659723599405278,
      0.586000842554991,
      0.420533366128397,
      0.630681354851553,
      0.567393701291629,
      0.548718732772833,
      0.504310903829836,
      0.571408391388149,
      0.55117218142423,
      0.558319913572963,
      0.685288166838193,
      0.54260553648796,
      0.588153796840263,
      0.373634651181596,
      0.379778043955684,
      0.348051425428121,
      0.438254258190652,
      0.487727228674058,
      0.203345545685066,
      0.383396318290337,
      0.119160996566979,
      0.206511918963738,
      0.469502625648815,
      0.543833487258421,
      0.26622326180881,
      0.610924650538685,
      0.640418181555896,
      0.570913371465824,
      0.414041899576119,
      0.527065014520818,
      0.645095286626166,
      0.611875709126874,
      0.705870461021058,
      0.517269285040432,
      0.552683721474309,
      0.375736586434203,
      0.501918346887814,
      0.559646460709349,
      0.456705948904979,
      0.428744953288084,
      0.477376938670323,
      0.157131233118381,
      0.64559563333026,
      0.687131124566666,
      0.726495210709497,
      0.471315593579076,
      0.406631037521028,
      0.276345329048066,
      0.567719443618768,
      0.496525686119313,
      0.415597414534127,
      0.292801007075331,
      0.577606829235673,
      0.72180064456961,
      0.549055558579164,
      0.577333454195238,
      0.38899065101035,
      0.703202494113367,
      0.570969542330925,
      0.540578459263195,
      0.458492403995909,
      0.222144292528687,
      0.27714717527255,
      0.566995271728992,
      0.576627866360291,
      0.565366004909686,
      0.588212052790315,
      0.459416543179554,
      0.383814492018048,
      0.321292368748286,
      0.553385903640193,
      0.480919866081925,
      0.470798523500081,
      0.293941895511737,
      0.550639659413661,
      0.599889546803335,
      0.428057973489016,
      0.451032668963809,
      0.256947730382484,
      0.639348009563525,
      0.58307907839129,
      0.484284118745557,
      0.441319692595423,
      0.4954504542784,
      0.623015870907078,
      0.485345394469007,
      0.410538637362496,
      0.371253331615612,
      0.417891464566577,
      0.177396584055822,
      0.514845299149729,
      0.69211332209436,
      0.574107541278338,
      0.564755769930255,
      0.440334680297065,
      0.698538525575112,
      0.522954172796159,
      0.512166754940408,
      0.532624781295365,
      0.534630385276497,
      0.415560720535797,
      0.538169256670129,
      0.672119241373419,
      0.469381495563016,
      0.337159734956356,
      0,
      0.168083212078809,
      0.244850878948245,
      0.253428505755994,
      0.296436821994241,
      0.385871458667601,
      0.456649469617419,
      0.333936864082786,
      0.534775805915786,
      0.548061540247076,
      0.403282301426356,
      0.217903277872004,
      0.0089487689648852,
      0,
      0.0262643198669357,
      0.109761055828081,
      0.00487849343543581,
      0,
      0.0275047127483899,
      0.428732500786558,
      0,
      0,
      0.0684963519863434,
      0,
      0,
      0.53964110812925,
      0.350786761409507,
      0.54557565096088,
      0.582860313099417,
      0.545323855021255,
      0.463888774315216,
      0.459277033191549,
      0.475557742911324,
      0.0720216311399275,
      0.174986358090435,
      0,
      0.290891693163649,
      0,
      0.0893602247718063,
      0.101745150759313,
      0,
      0.23148680411712,
      0,
      0.0107129166111954,
      0.0609427424764281,
      0.0319385262290462,
      0.440557306695149,
      0.38526902100459,
      0.259804919850564,
      0.0636487626443856,
      0.447176926016185,
      0.626361749467222,
      0.45586919154206,
      0.418490056085869,
      0.287064995547302,
      0.661623326547019,
      0.466878709919807,
      0.41760949142033,
      0.377074092019336,
      0.412808761282563,
      0.337270385354393,
      0.49460361095726,
      0.564051766476589,
      0.438888620896157,
      0.262747158358321,
      0.172178894024773,
      0.587440573728059,
      0.626543396827654,
      0.50634282847438,
      0.394565907600544,
      0.602588723069185,
      0.421264694004745,
      0.627571092408048,
      0.654572986378156,
      0.605053171937368,
      0.518843573150136,
      0.551309284247888,
      0.560492695081623,
      0.610755096972006,
      0.584674952236085,
      0.561230335046634,
      0.616521327436421,
      0.62732412997793,
      0.534457412557302,
      0.527697160806656,
      0.448702734345178,
      0.409647293801924,
      0.43714415496662,
      0.527508235007976,
      0.556617128192777,
      0.437581578869352,
      0.413189801047801,
      0.254579418396472,
      0.555164876332207,
      0.398003833869883,
      0.487232873507026,
      0.442516681016652,
      0.396989515358907,
      0.350880915872562,
      0.507039062928201,
      0.601027251923579,
      0.414272638843853,
      0.407981485847869,
      0.29524687927218,
      0.623360048861439,
      0.420283306803906,
      0.52023186957837,
      0.414280475367995,
      0.42954829559368,
      0.444840366193325,
      0.474656368464877,
      0.502104025446137,
      0.425247004226722,
      0.291709788953865,
      0.184836014454363,
      0.510591014059974,
      0.627653199923672,
      0.656296296286948,
      0.722572648918127,
      0.40389436022424,
      0.482462989634503,
      0.481807279736772,
      0.531627562723242,
      0.421931541286775,
      0.382817205193223,
      0.312110041590387,
      0.546194155578575,
      0.631671287763364,
      0.431470643682109,
      0.404320145813801,
      0.316439769660943,
      0.594541111197833,
      0.455368874063432,
      0.451163102308248,
      0.421446123018738,
      0.459804539758289,
      0.246584188229919,
      0.453234837826065,
      0.638722331338955,
      0.454936424155432,
      0.465091666282916,
      0.265052043396598,
      0.707930154737446,
      0.464078288011995,
      0.477466106526226,
      0.4044709496853,
      0.390218068946521,
      0.583846064352449,
      0.527242568883606,
      0.575250474490909,
      0.45832607275224,
      0.373813693741143,
      0.0915721888303664,
      0.606706604499296,
      0.572927066705415,
      0.598039824527431,
      0.572169724955865,
      0.567531773019938,
      0.332048780681288,
      0.406245115167264,
      0.611567190359434,
      0.440516101839237,
      0.377190619442699,
      0.357715183818788,
      0.582825742441788,
      0.565421036793008,
      0.625087269091929,
      0.456616273994738,
      0.482111045763831,
      0.62811654610108,
      0.676935794001986,
      0.629864200296503,
      0.540418186078828,
      0.670161560169822,
      0.358470496608086,
      0.528727971212747,
      0.539935127381398,
      0.44742362122258,
      0.463778333212784,
      0.385865601402551,
      0.568799550100948,
      0.413626906177413,
      0.563812686426922,
      0.544422384585604,
      0.53176972435666,
      0.194411490594624,
      0.522954495692196,
      0.589230724728228,
      0.423025490441246,
      0.417431529763739,
      0.292323311999115,
      0.630062342710452,
      0.418184894909535,
      0.493781129617538,
      0.400896269105541,
      0.139453735243785,
      0.243101125866846,
      0.485216231807887,
      0.509580104396659,
      0.467929971631553,
      0.380011523288174,
      0.511540716058976,
      0.578417560271348,
      0.716783740161184,
      0.714408507013462,
      0.72937821074688,
      0.499763618544796,
      0.39128867043692,
      0.494789605632609,
      0.543807342236464,
      0.395002776987873,
      0.373345158575708,
      0.245745233986378,
      0.554665967559442,
      0.610736033493719,
      0.415751958125488,
      0.412796709561459,
      0.324167745476539,
      0.446316018024808,
      0.418794476361768,
      0.453356370243331,
      0.379627471753641,
      0.281994638501452,
      0.140938621845376,
      0.461148979956711,
      0.653781788903178,
      0.464050479345469,
      0.41695944306929,
      0.299274290132193,
      0.719427835622056,
      0.472284387869095,
      0.451632620127681,
      0.431908359723011,
      0.401388928223469,
      0.313220331846786,
      0.498354209026981,
      0.584591185590881,
      0.425657690508995,
      0.284043715222955,
      0.033917927855006,
      0.620614893449848,
      0.454271947085951,
      0.533175732446372,
      0.392390033826262,
      0.524809507433806,
      0.41864124798856,
      0.537141694184431,
      0.664770351814166,
      0.580617956013344,
      0.522978571213057,
      0.620480763231166,
      0.601886706098886,
      0.612747838435211,
      0.600744378659517,
      0.535409352337325,
      0.657450822402441,
      0.570878983741216,
      0.565805960900882,
      0.533755478881033,
      0.464819054941075,
      0.37857735467302,
      0.534076955821185,
      0.54214417865507,
      0.557120850949455,
      0.484652726849448,
      0.504222222265948,
      0.265512069531771,
      0.574590646675032,
      0.404854347078247,
      0.518908266422348,
      0.447594574106691,
      0.411567790576438,
      0.187751525203698,
      0.53028937739203,
      0.624944236058122,
      0.4417602370402,
      0.415081721202391,
      0.289615318324827,
      0.640846986589734,
      0.468960723445424,
      0.474132416394381,
      0.38918540262855,
      0.4891448032034,
      0.27085871780332,
      0.497558639465483,
      0.515395634037216,
      0.445975499387521,
      0.32062393973249,
      0.177537570767148,
      0.52481018791349,
      0.71785726483489,
      0.689927128301848,
      0.654557188526465,
      0.403736106209736,
      0.204766890143539,
      0.485074904901647,
      0.567194226077432,
      0.408587520967999,
      0.393083545783155,
      0.477178875203942,
      0.556675465630557,
      0.552113682385609,
      0.437294577620489,
      0.360053288723816,
      0.298946707667674,
      0.487160459043222,
      0.117288917195343,
      0.459352242045646,
      0.389092653018656,
      0.359937220494001,
      0.226930360075084,
      0.466709420944515,
      0.691669601871879,
      0.50923743522138,
      0.501672110087579,
      0.324983613281636,
      0.702509577960318,
      0.457738316510949,
      0.486146513705739,
      0.402906317674073,
      0.411498595986359,
      0.394556531377484,
      0.559897444756905,
      0.591646255421743,
      0.407175083219293,
      0.361735277195257,
      0.17580188444481,
      0.637298169379121,
      0.417625968073854,
      0.572594200610024,
      0.547484352488286,
      0.521105235770092,
      0.483525591551644,
      0.449842510659804,
      0.595546503430897,
      0.462482430370135,
      0.385254645172529,
      0.358943081668393,
      0.610912027265558,
      0.501464304374555,
      0.59184494344444,
      0.477189148558478,
      0.551501243421327,
      0.652009733579663,
      0.676412355995656,
      0.670827138719893,
      0.538552348703439,
      0.663774584831282,
      0.362624737242726,
      0.560304859483871,
      0.59874056279917,
      0.521377460428775,
      0.525927871605881,
      0.445768115050498,
      0.601466187217886,
      0.445523719192149,
      0.653780185084247,
      0.513438494105136,
      0.578977495691038,
      0.206290143748722,
      0.535045183938608,
      0.642971825239248,
      0.451071852994741,
      0.44754895639723,
      0.295526606636011,
      0.630376841273074,
      0.433168641499889,
      0.475763582948065,
      0.418087917900722,
      0.31078706844003,
      0.289778748294142,
      0.502646202159008,
      0.525115000431966,
      0.470283235295057,
      0.432203697264859,
      0.486943911069196,
      0.572084829249667,
      0.671178151917781,
      0.584322467437243,
      0.567937559944576,
      0.562441009459464,
      0.282876669294339,
      0.496807968978373,
      0.56051678048941,
      0.40412142768072,
      0.397118484880722,
      0.250914615357506,
      0.57574484332237,
      0.504313711112898,
      0.469663636904451,
      0.408251697705111,
      0.341872621180964,
      0.428045448821374,
      0.443541955822234,
      0.509319821620677,
      0.468248019611099,
      0.436847440235244,
      0.449459717398889,
      0.369785890261101,
      0.562699250924368,
      0.618801680730013,
      0.533825514387614,
      0.621198756140917,
      0.616188986536576,
      0.688306605669889,
      0.595264971200349,
      0.471021801473635,
      0.642857948772193,
      0.494701526387021,
      0.524950576185224,
      0.362093507760461,
      0.358363301341084,
      0.494595951559334,
      0.243152953198253,
      0.327431954755034,
      0.155724130635668,
      0.494321015913803,
      0.377113161038377,
      0.412882383285813,
      0.461450726076108,
      0.466731039603806,
      0.663809719867975,
      0.654781941618248,
      0.51924965627534,
      0.643532310540058,
      0.628568886024927,
      0.632452900618999,
      0.603389553537033,
      0.471894788699863,
      0.651097569436651,
      0.537524992559238,
      0.557179365956216,
      0.544058002411834,
      0.461582552276293,
      0.380746087544536,
      0.547313778824594,
      0.162385101356084,
      0.605971223665285,
      0.541995817131798,
      0.57712932369367,
      0.297948411143484,
      0.606994888578204,
      0.402504497383412,
      0.54101971816444,
      0.417766101346546,
      0.417935602306993,
      0.223697818460181,
      0.535043456059816,
      0.625916591264847,
      0.462793154320923,
      0.471341451689755,
      0.341977076380211,
      0.619735965458214,
      0.638132902979828,
      0.560564693095176,
      0.444965763725342,
      0.249503344703964,
      0.302237534216101,
      0.667679061599602,
      0.543631161324165,
      0.435325948779247,
      0.407800507813284,
      0.265448932344628,
      0.558744351512761,
      0.396060165027971,
      0.502532452660662,
      0.458856285788651,
      0.419374935136645,
      0.333557915067412,
      0.498107598653694,
      0.577411296172928,
      0.394698572492083,
      0.462344474969008,
      0.26616240664872,
      0.59337000741759,
      0.594281707882161,
      0.446433229562903,
      0.40079929904807,
      0.569471921041126,
      0.666059641496787,
      0.508857487419788,
      0.550566828251687,
      0.529600398480627,
      0.539011598370839,
      0.248377359932968,
      0.496340093990155,
      0.711364186642804,
      0.578550171789089,
      0.536944537846636,
      0.570085212401636,
      0.474856100612512,
      0.46381009714649,
      0.517594688089832,
      0.613193300176651,
      0.438056256407914,
      0.347894072924864,
      0.522456878768318,
      0.631315433052494,
      0.422731187666596,
      0.314554124162651,
      0,
      0.469370685042565,
      0.428190335663262,
      0.563717166968076,
      0.388960041279479,
      0.526753048845283,
      0.439228292141487,
      0.459035319962337,
      0.651344624332004,
      0.483410988506806,
      0.418592218480738,
      0.315353175821255,
      0.101481912269189,
      0.0581184533822576,
      0.0251749248081731,
      0.210104132913734,
      0.330604353726499,
      0.0555584537852402,
      0.145747508965648,
      0.448780508263516,
      0.091144389366496,
      0.00685051148484877,
      0.141770455067293,
      0.0928563113982766,
      0.106204971170148,
      0.49883854823728,
      0.445724944853375,
      0.477471948904922,
      0.494979391961027,
      0.400434772716437,
      0.45093608276359,
      0.420322224421002,
      0.47031575147896,
      0.143270992371566,
      0.343820439998221,
      0.300430574022444,
      0.396990816741177,
      0.0691273311247023,
      0.284188294256803,
      0.24185425038657,
      0.087022981045111,
      0.293482432878004,
      0.0544738163804922,
      0.208177915777535,
      0.169909512593893,
      0.0799961448100467,
      0.632486528543239,
      0.578270041683633,
      0.468414644401166,
      0.143384542045476,
      0.638909204564635,
      0.58187345511739,
      0.443049101396834,
      0.373251477206279,
      0.289202020832185,
      0.596794361556363,
      0.447762994662716,
      0.602662485571728,
      0.586297482281975,
      0.596408287725567,
      0.441599898253221,
      0.675982620552475,
      0.7291200761768,
      0.603753208690382,
      0.454477734447879,
      0.136579361919323,
      0.747737314315142,
      0.754347207639979,
      0.674889969483983,
      0.562618642818987,
      0.572040021666411,
      0.614033691661725,
      0.674772167979456,
      0.606931421553668,
      0.608581918641868,
      0.684510194857431,
      0.504985900134485,
      0.63007628213626,
      0.560566763551192,
      0.655050536165198,
      0.642421343990122,
      0.706023358276519,
      0.702263924230788,
      0.627387222806197,
      0.717905354260597,
      0.605425862542421,
      0.568976331960578,
      0.63561021045988,
      0.696976135457519,
      0.730856599630839,
      0.582346679087144,
      0.5681339210243,
      0.288900455161073,
      0.730881828771191,
      0.594920081618151,
      0.473542117126458,
      0.37954956365737,
      0.396739935120287,
      0.404572918910655,
      0.459624851021755,
      0.764730854433812,
      0.588877379410721,
      0.573692826208423,
      0.440232918412354,
      0.752530978681847,
      0.583084261461127,
      0.637212393557274,
      0.558268256632225,
      0.571936875558055,
      0.625758920658091,
      0.650793741737999,
      0.685058430355303,
      0.580185860798107,
      0.442830063975274,
      0.246045863082585,
      0.694946882711487,
      0.597517360271196,
      0.589103210756429,
      0.678669660315433,
      0.331996189388736,
      0.451074451436871,
      0.429267687625241,
      0.700731415443514,
      0.591050620137222,
      0.553559916018349,
      0.468437978097025,
      0.714900434171814,
      0.656748609494585,
      0.602668948486323,
      0.57751656278919,
      0.512767260423033,
      0.607072682589909,
      0.640555708528704,
      0.634284183440178,
      0.588262899941764,
      0.458796242178798,
      0.214281253853383,
      0.646094598293722,
      0.62122933315433,
      0.445144973516412,
      0.410692816270246,
      0.24571963813592,
      0.653782490259244,
      0.40302913175777,
      0.652495422057274,
      0.577312177692321,
      0.549075296780777,
      0.498325477710177,
      0.690991368696501,
      0.734732330920295,
      0.600625889614475,
      0.452701102769803,
      0.0310530072932342,
      0.759774292523622,
      0.689729085269419,
      0.620071634879091,
      0.580772199494151,
      0.495488634028053,
      0.34494367542683,
      0.609506475135003,
      0.526725045889756,
      0.403010350462972,
      0.410438227121245,
      0.428539336743153,
      0.538448452727592,
      0.469342800873357,
      0.683394507670129,
      0.647952197117522,
      0.673294893657589,
      0.533708481424805,
      0.645647702326116,
      0.679886229678582,
      0.59668606534115,
      0.600861804391494,
      0.438695740677578,
      0.708870616224087,
      0.739919647759024,
      0.64931457933795,
      0.630161154179771,
      0.479493175542475,
      0.748170118584908,
      0.608141956810187,
      0.639980377567774,
      0.500559691057768,
      0.481804170579831,
      0.114474925256324,
      0.471671075262203,
      0.755788131220744,
      0.59051853435076,
      0.565781290587599,
      0.45720799750758,
      0.735961659817727,
      0.598840658641375,
      0.649283001679487,
      0.57566565943102,
      0.307880032625635,
      0.282146804435286,
      0.657350337079316,
      0.693668364000098,
      0.57265553613365,
      0.479845053919258,
      0.453404297524555,
      0.703698229301273,
      0.664277899273234,
      0.658960154530345,
      0.687122183111502,
      0.492565081412516,
      0.320731429864532,
      0.43772154195047,
      0.712191626249099,
      0.586968300021999,
      0.552051968551056,
      0.420111722766262,
      0.72099648461487,
      0.612945833368931,
      0.613298406851997,
      0.573100355383322,
      0.499449355369299,
      0.487190175790265,
      0.597466456784353,
      0.643031726677316,
      0.57783060458119,
      0.474450313248679,
      0.152842631397495,
      0.650493294796698,
      0.62494024532502,
      0.423142781431468,
      0.368253622706541,
      0.319660859128903,
      0.638010823603792,
      0.397413298983351,
      0.655377571398695,
      0.606923178136605,
      0.554262320115305,
      0.436096598541893,
      0.683070559954738,
      0.739974616413308,
      0.589755793471642,
      0.464943110018703,
      0.190323290835973,
      0.769266426147609,
      0.608742751627781,
      0.702029301331025,
      0.570628656242602,
      0.477304677693574,
      0.52261029128971,
      0.598401455016653,
      0.575250655785209,
      0.490984041850205,
      0.686426259119016,
      0.563246556955583,
      0.604581873638858,
      0.516225023923402,
      0.612682924637615,
      0.611988133367895,
      0.621730634359189,
      0.733941580960755,
      0.688258876761315,
      0.70737554326527,
      0.631630997951012,
      0.550751747238917,
      0.613318088930468,
      0.717621237449895,
      0.747825088458728,
      0.594948130088056,
      0.572956157633682,
      0.340897095402927,
      0.756041976595477,
      0.597490584306416,
      0.492626061094821,
      0.379085619789353,
      0.505862965090108,
      0.216362650562138,
      0.483259719559715,
      0.763768406297717,
      0.60025867858439,
      0.567043027206753,
      0.45640016602092,
      0.666507427383831,
      0.560322066978249,
      0.647486344586777,
      0.567223277444894,
      0.614970209696222,
      0.504189316721281,
      0.668373801493111,
      0.699906712967333,
      0.597060159480402,
      0.479044474890947,
      0.258645957536866,
      0.712870655162711,
      0.690306568774947,
      0.651218485534046,
      0.618503084294811,
      0.320186837484669,
      0.155723924922385,
      0.433900371943727,
      0.728100075243996,
      0.596546494124787,
      0.570523660060995,
      0.598758842600067,
      0.727703817022744,
      0.596338956561035,
      0.612955558412984,
      0.56707982581067,
      0.516814433398019,
      0.476267287533556,
      0.177927414530571,
      0.649578293888524,
      0.579256075942763,
      0.467339974880809,
      0.165323811941193,
      0.656673550953181,
      0.611466473892843,
      0.429872622605325,
      0.417800120870369,
      0.272470657028784,
      0.64688636628571,
      0.40518468677374,
      0.662948575148101,
      0.578583231657133,
      0.55234786247715,
      0.367217299654205,
      0.742356708782098,
      0.742365960204033,
      0.587137649704281,
      0.468707509349152,
      0.218660055362549,
      0.745837603707689,
      0.599202941415327,
      0.624089547791999,
      0.57670931594112,
      0.441199480370586,
      0.397010480519273,
      0.624581495773531,
      0.549200679733285,
      0.414318209670051,
      0.373413742085789,
      0.438595911911746,
      0.547312219006626,
      0.416088743428378,
      0.680494931862379,
      0.651768343602034,
      0.723701168976187,
      0.572066875743691,
      0.655942385235873,
      0.711409966734391,
      0.599872444266029,
      0.591002812647931,
      0.421372848721444,
      0.714849699623147,
      0.759771066805106,
      0.615120981155049,
      0.659947614543942,
      0.582023490917181,
      0.758964984987664,
      0.613324568552351,
      0.661349966300428,
      0.469949960442623,
      0.525777063480362,
      0.19848824346178,
      0.487796505419462,
      0.751606794165005,
      0.608979295204422,
      0.576130656939545,
      0.468487288673908,
      0.595888671389975,
      0.608237595235374,
      0.653116515527047,
      0.586727967717122,
      0.389948637530192,
      0.316961243630329,
      0.674880045357486,
      0.710764027276345,
      0.602362028045384,
      0.49120810906052,
      0.442389608273224,
      0.716999165217415,
      0.65389514659825,
      0.609310834416081,
      0.516081334453223,
      0.523929843151586,
      0.277460379035776,
      0.449192670844489,
      0.724504172492685,
      0.597321326178649,
      0.563128168078222,
      0.420544527084865,
      0.741507811925152,
      0.590614349751388,
      0.619192592562848,
      0.580768280452107,
      0.515817501085436,
      0.413987148932418,
      0.61930979822233,
      0.664801979874251,
      0.530661201025528,
      0.505330017600327,
      0.647254860848498,
      0.442607789953836,
      0.605769478620259,
      0.549357211846864,
      0.678854420962213,
      0.682188293837633,
      0.619073856480415,
      0.615408803261719,
      0.658846315001251,
      0.60647831935978,
      0.598363361713462,
      0.655955352439882,
      0.524274200465181,
      0.540566778858882,
      0.532232547698059,
      0.678728228769821,
      0.237097750216908,
      0.486691889122373,
      0.28648176570677,
      0.68048143767048,
      0.566521675760954,
      0.520858042191174,
      0.626357750706945,
      0.632590225522194,
      0.585202735119615,
      0.564296170056167,
      0.685759926349985,
      0.567462442540384,
      0.651206390613218,
      0.536599834647642,
      0.54025238894935,
      0.615193696421146,
      0.60989657249653,
      0.719660810322997,
      0.683361406253869,
      0.699626531614944,
      0.64303771462751,
      0.550187864047572,
      0.479287213359912,
      0.434112213207846,
      0.760005935348425,
      0.592848203862164,
      0.650702391734424,
      0.344845151495667,
      0.740834784441061,
      0.601853260134137,
      0.504950640775348,
      0.391602382493158,
      0.353010642989462,
      0.332191811058004,
      0.491282526468015,
      0.697455480388403,
      0.614012639853323,
      0.536370583309395,
      0.469560697738949,
      0.526109848952224,
      0.620798702597102,
      0.663131558222491,
      0.593513259016864,
      0.365409387702196,
      0.275818564183114,
      0.689673333060985,
      0.718625113799137,
      0.589111967576806,
      0.494774424194654,
      0.279904824753935,
      0.730863063667969,
      0.596105893480205,
      0.441205524546043,
      0.416367621248411,
      0.350116267610864,
      0.33000965863986,
      0.442823744943928,
      0.736445174889562,
      0.595277499619502,
      0.558175162205312,
      0.422085674417518,
      0.745586601031282,
      0.606727433229844,
      0.62458341598382,
      0.574237058306234,
      0.559403360869801,
      0.500384973214396,
      0.627906984266677,
      0.640358977564864,
      0.615193446211049,
      0.529207461499624,
      0.403510153304413,
      0.676454786945346,
      0.628341175286877,
      0.505789118022068,
      0.485754563407848,
      0.500831202927944,
      0.488411988674635,
      0.445022398457876,
      0.689509359384053,
      0.653265112220906,
      0.570441608658981,
      0.433291929696012,
      0.699825366421766,
      0.746384998910021,
      0.595551756561493,
      0.491833113534347,
      0,
      0.621669837880036,
      0.505541963633302,
      0.55825535216293,
      0.489994826368027,
      0.448495328117508,
      0.43823528877396,
      0.514404572810707,
      0.66271896731297,
      0.630601521266863,
      0.632294462628955,
      0.464528417568726,
      0.183747012859291,
      0.0569957086114021,
      0.483618813947115,
      0.34111720253046,
      0.487818182452774,
      0.506665271861124,
      0.51220512071096,
      0.563729035172401,
      0.332396673370946,
      0.0489054351615561,
      0.401102457096515,
      0.437081504929353,
      0.493237969646789,
      0.50320998494518,
      0.438302939137044,
      0.224206197084206,
      0.53921323264745,
      0.252371889266526,
      0.518142568578514,
      0.607544619019535,
      0.606253119060436,
      0.429171289926476,
      0.432240755398648,
      0.538546032227476,
      0.541159441334009,
      0.128928243865508,
      0.559399030058132,
      0.51141589427005,
      0.494802941899779,
      0.489141542898862,
      0.259050171333757,
      0.31552909509354,
      0.571157786447854,
      0.455346435009674,
      0.634750016741057,
      0.58648474619529,
      0.468788480355416,
      0.474342668705489,
      0.572105271749351,
      0.727996480783437,
      0.638168982206964,
      0.571172785758061,
      0.493098973348968,
      0.728049372846208,
      0.623825146936376,
      0.5387995304849,
      0.534208319295133,
      0.594899665946948,
      0.362776183292573,
      0.598264022767011,
      0.658008588910304,
      0.612952306833559,
      0.478274419696015,
      0.427032504875266,
      0.659700082705887,
      0.671849805833097,
      0.623973081818518,
      0.686342810942675,
      0.653645612667496,
      0.587019422140298,
      0.653269818288311,
      0.733720839944251,
      0.53611065451665,
      0.611482468282925,
      0.675507847216114,
      0.709138945449311,
      0.649728174834768,
      0.607862961255115,
      0.569591017036406,
      0.62690046621898,
      0.622041594988724,
      0.553431706997868,
      0.645677045975852,
      0.59119974402516,
      0.528196323629432,
      0.551696683167461,
      0.632444842766103,
      0.639276807635346,
      0.502244790999647,
      0.542678003041133,
      0.23182583129524,
      0.653929307827981,
      0.516351151009895,
      0.64748200540214,
      0.547277292636009,
      0.527578564572109,
      0.370258910183133,
      0.648114070897189,
      0.683947743560963,
      0.513014378241969,
      0.535588354277601,
      0.435887597886351,
      0.672631640884785,
      0.51576190765512,
      0.561501592637537,
      0.513584825098668,
      0.625600195924774,
      0.550709026397768,
      0.569253664062553,
      0.605333890860744,
      0.563339831093531,
      0.600614923186932,
      0.251267910310462,
      0.613104831372211,
      0.562034386652338,
      0.65063419633589,
      0.619565252924976,
      0.48808297233894,
      0.374887889448623,
      0.617191637815565,
      0.633130405667487,
      0.563719334108506,
      0.559010936767562,
      0.519821336250292,
      0.629378205291219,
      0.562871042295366,
      0.539170444445686,
      0.50706811984501,
      0.593443032506263,
      0.50630058835221,
      0.567409191755768,
      0.572232664487167,
      0.580261565784434,
      0.38720746626711,
      0.381650922442611,
      0.567851609972638,
      0.749179916530925,
      0.637429867974317,
      0.53005821447757,
      0.459164379901334,
      0.694270841308221,
      0.58445651728428,
      0.580349345246948,
      0.498597242693306,
      0.475779216840004,
      0.499580444198593,
      0.600675103139551,
      0.650381642119018,
      0.525024755086754,
      0.381876534732928,
      0.0317689993471029,
      0.671684069294851,
      0.623591210450078,
      0.610191223008779,
      0.589231362891293,
      0.591299872164198,
      0.614556229174337,
      0.544947096369086,
      0.692990518561118,
      0.614601864958846,
      0.618049589150835,
      0.587577644582883,
      0.714299196767088,
      0.536946694187832,
      0.611743580103796,
      0.598622534414256,
      0.589823438444892,
      0.48341090927821,
      0.549256288892101,
      0.600495401763522,
      0.502587806591197,
      0.557249250836443,
      0.481668914174621,
      0.65660856099902,
      0.674692092789219,
      0.602681219837189,
      0.567329132514238,
      0.440305889736064,
      0.672884397632064,
      0.552869736687599,
      0.617033557396584,
      0.644572865382407,
      0.619872696551542,
      0.309395047689107,
      0.658721500579034,
      0.689919114070514,
      0.535625796667711,
      0.479693610353458,
      0.523678729380356,
      0.674107566589423,
      0.521518026528695,
      0.581271772265945,
      0.50560029033523,
      0.255657215945288,
      0.410669591515796,
      0.581519524463185,
      0.610549444696092,
      0.54556564383702,
      0.461231023104515,
      0.27817507074593,
      0.640513237676849,
      0.633439814467822,
      0.650188545374202,
      0.63039130892692,
      0.542660613011662,
      0.437282396743314,
      0.619964273472524,
      0.622375118519866,
      0.555336005891212,
      0.471677952044278,
      0.517758887086366,
      0.637397930543158,
      0.559525699687766,
      0.584189482502421,
      0.491726849659903,
      0.425895915687285,
      0.571457689864801,
      0.552702302697643,
      0.638355979128972,
      0.5812870833492,
      0.45321525510996,
      0.469784333014392,
      0.591299138094092,
      0.736987156591539,
      0.623169069574492,
      0.583064812195686,
      0.47823847426802,
      0.611541944222981,
      0.569357943659304,
      0.590268115667809,
      0.561723977483254,
      0.554969495030064,
      0.378042124892261,
      0.601802845043823,
      0.665177892993518,
      0.619902522763444,
      0.47570284618452,
      0.42101277464842,
      0.696269574700542,
      0.523604931018973,
      0.634660255033822,
      0.675042966930424,
      0.672726566023744,
      0.555385881114841,
      0.653132816303878,
      0.73909106991917,
      0.595400277454691,
      0.632522438806338,
      0.678573593221056,
      0.722651383992456,
      0.641374316655056,
      0.590719827377098,
      0.556977599884247,
      0.560070746553444,
      0.657427800650916,
      0.624475641141842,
      0.619943149992532,
      0.604799451232046,
      0.481527675064051,
      0.517365381905109,
      0.691626179851657,
      0.67345302742447,
      0.600660961495122,
      0.497631243764649,
      0.378048768272053,
      0.679786426086306,
      0.518467502134117,
      0.650929804589844,
      0.560331549376563,
      0.547251051323499,
      0.375820468164647,
      0.668196916550559,
      0.694033571913198,
      0.521882058111214,
      0.497782875454992,
      0.459046249121043,
      0.641028725606045,
      0.548159129312777,
      0.58115110266462,
      0.62301085774115,
      0.548749339821435,
      0.500943229564864,
      0.584551208627158,
      0.617279449909596,
      0.510062213364411,
      0.469972015290193,
      0.211377788763006,
      0.633107504281275,
      0.634510762499087,
      0.643254305691495,
      0.557477742298069,
      0.507819317149503,
      0.245063354460718,
      0.627576300443611,
      0.629030763644456,
      0.519414490741845,
      0.556507428814734,
      0.595066044973344,
      0.644818377228464,
      0.517388447021065,
      0.53240709288556,
      0.542923561028839,
      0.537996130216174,
      0.386358424466376,
      0.150770229454003,
      0.57166070370661,
      0.530453914966082,
      0.505550727917016,
      0.0999811271568302,
      0.575483122774122,
      0.683208407506799,
      0.610403091128338,
      0.560135596614647,
      0.484589257290259,
      0.544553562914754,
      0.590924828386304,
      0.577156708174851,
      0.498588059680123,
      0.471532733432209,
      0.35000780608767,
      0.656738987978172,
      0.658106683661818,
      0.51599076167638,
      0.386529901705014,
      0.158413187540481,
      0.685230574608086,
      0.519738935861861,
      0.613863984841866,
      0.589500410616299,
      0.597078321082083,
      0.541954533179249,
      0.543529771509714,
      0.713206383179067,
      0.568597105502187,
      0.585923699010899,
      0.576402315851568,
      0.727785820699242,
      0.580540149008865,
      0.610335528637236,
      0.595445941598081,
      0.674704782823956,
      0.469840382660643,
      0.570159897222287,
      0.623639110735293,
      0.515145824719931,
      0.479837697960688,
      0.324274316672924,
      0.640625410306987,
      0.677811445329946,
      0.56892224200178,
      0.584872878486856,
      0.522240118196422,
      0.676328633502164,
      0.526841519208799,
      0.665342610359505,
      0.592282743734426,
      0.626358485091283,
      0.343097674736994,
      0.679327326455947,
      0.675395220871277,
      0.52691535038214,
      0.504133645286194,
      0.542473109854822,
      0.573589695762171,
      0.558541071138613,
      0.592800484054563,
      0.524664391610285,
      0.298890663412841,
      0.503336437716918,
      0.588504924630901,
      0.644375225581181,
      0.554884969712818,
      0.46243858702035,
      0.287367735074192,
      0.639571158368889,
      0.567937571406812,
      0.680484696710428,
      0.618426052206312,
      0.63034850255067,
      0.469439393361912,
      0.63502330900349,
      0.650522844537195,
      0.555344273126015,
      0.477868591055754,
      0.566354094002335,
      0.665919838257621,
      0.545541047888902,
      0.565696138717643,
      0.506325701517388,
      0.436876105028064,
      0.513849045805743,
      0.566803932129332,
      0.638559360675927,
      0.689593579018642,
      0.672542844550441,
      0.578302610252841,
      0.671534697113146,
      0.508850800936397,
      0.671937356916062,
      0.601429733552952,
      0.601532644667654,
      0.67961125552512,
      0.623928228536756,
      0.612618812808228,
      0.592967526606909,
      0.56905252006938,
      0.567253828997376,
      0.488241652723049,
      0.602301003725405,
      0.659292733023899,
      0.601230338109286,
      0.445673471037039,
      0.666266547393088,
      0.536593862504825,
      0.611248235893689,
      0.681043163717125,
      0.662871813808716,
      0.576056243451346,
      0.687498478678678,
      0.731658832830033,
      0.629248016826097,
      0.660385159342833,
      0.670039798292697,
      0.745596906133252,
      0.599843247796126,
      0.592180964161505,
      0.557890698321067,
      0.568127576752803,
      0.635025741224009,
      0.651614036603261,
      0.610119361451747,
      0.614863096930682,
      0.479000870668145,
      0.423879523549902,
      0.653915344516471,
      0.674680090547516,
      0.595004092249508,
      0.586297517423496,
      0.283664293166376,
      0.664099956632782,
      0.529952270784918,
      0.669149131681784,
      0.568603905757072,
      0.534219222675186,
      0.528905633953218,
      0.682633802016984,
      0.65890557851993,
      0.534151721032125,
      0.46767882062045,
      0.405568131531085,
      0.443596671699128,
      0.534443244450798,
      0.582766011777439,
      0.505904491868806,
      0.279644331018698,
      0.531939855403595,
      0.600672046152828,
      0.635736316375816,
      0.51079309734848,
      0.433058309883509,
      0.269690821563756,
      0.649603222685749,
      0.512183878090584,
      0.623545816866743,
      0.55058480951493,
      0.524962856320045,
      0.328126680828032,
      0.631677052280471,
      0.655501130685026,
      0.528810569571067,
      0.473945279648716,
      0.421930921626083,
      0.662021795669347,
      0.512467261228047,
      0.545962697642229,
      0.492027875026154,
      0.432722801987387,
      0.281122385880282,
      0.554570386553395,
      0.582513741777878,
      0.548140771438885,
      0.448136525507475,
      0.402652913089299,
      0.590742512752802,
      0.601078212087016,
      0.601458776543299,
      0.596038749494525,
      0.538660695385461,
      0.512057251217383,
      0.606641389583723,
      0.609429053391084,
      0.565871011365732,
      0.586825876982936,
      0.362618807473056,
      0.614080819479988,
      0.681615432112336,
      0.510247730738496,
      0.433834611281224,
      0,
      0.560788646160103,
      0.589179495887985,
      0.603683055289019,
      0.60911229769674,
      0.382822227824626,
      0.578268219469154,
      0.45704844691615,
      0.476791345954634,
      0.643223295860123,
      0.695855740058779,
      0.533914386011807,
      0.39585572663405,
      0.195999913229909,
      0.619478440560578,
      0.451077916736469,
      0.548683543095681,
      0.656422100323679,
      0.653160956138518,
      0.596388588566917,
      0.450061682831867,
      0.136218494859831,
      0.686258106456527,
      0.614571695113481,
      0.59566427015882,
      0.607576333805624,
      0.548212007372764,
      0.324442419172678,
      0.627602023946089,
      0.234242884990933,
      0.530880009848282,
      0.589201773812724,
      0.657956694866679,
      0.503449929377083,
      0.490794681338261,
      0.56269912615906,
      0.641244657766261,
      0.297667574246139,
      0.593740713940785,
      0.675113250046019,
      0.626467864985562,
      0.637429943745786,
      0.420704069329987,
      0.488924370700329,
      0.705907188697045,
      0.593165122901022,
      0.729319967341699,
      0.685271539427506,
      0.667456364539982,
      0.570267568833736,
      0.602124515834864,
      0.703571348147188,
      0.612928983688901,
      0.59749264212217,
      0.493602152984704,
      0.714870057095024,
      0.603270952055213,
      0.528633048423125,
      0.545226272659423,
      0.629128887275844,
      0.378276050558661,
      0.597582639294815,
      0.641840559561221,
      0.697161975216492,
      0.585595878881583,
      0.556924454944187,
      0.669643919326444,
      0.609090102711402,
      0.679338668091629,
      0.673608555234946,
      0.639798664616656,
      0.687264100776255,
      0.673041096190479,
      0.689626101831325,
      0.537289363508736,
      0.61380073963565,
      0.652238510328441,
      0.688439915074694,
      0.617415552065167,
      0.698001619837663,
      0.641842176062259,
      0.476109929074111,
      0.481622851764571,
      0.59798826825734,
      0.676974507380126,
      0.707713606174541,
      0.575979565588719,
      0.292845664879345,
      0.717776554122101,
      0.613631371344247,
      0.553602537858755,
      0.650459313097994,
      0.4303564413798,
      0.724100491702153,
      0.527139071610792,
      0.639830096447321,
      0.570339104151873,
      0.515686686926729,
      0.315462289277689,
      0.622622703121837,
      0.702629391431289,
      0.479981409302217,
      0.499993215946334,
      0.442720003770237,
      0.720881364704813,
      0.512470351158713,
      0.631640620552551,
      0.521263153102248,
      0.534783823197837,
      0.599501444736084,
      0.588632436027192,
      0.639282415030658,
      0.658649089375429,
      0.618055688501546,
      0.296110259837752,
      0.640690442034371,
      0.523913856516705,
      0.739035395347301,
      0.548971547850104,
      0.526691229994018,
      0.32016549318427,
      0.593487293899831,
      0.645522033584292,
      0.613352324102758,
      0.573414562005353,
      0.608300022958732,
      0.65674185610884,
      0.553835629764334,
      0.604900541336471,
      0.54258763550189,
      0.56573142946186,
      0.6270476620827,
      0.542557258512488,
      0.614273791442607,
      0.688360263904351,
      0.437629486083785,
      0.486703211604735,
      0.597193299806251,
      0.721109988229856,
      0.63235753529459,
      0.588155437126241,
      0.47708611324949,
      0.703761788886661,
      0.55906259102552,
      0.626271217854175,
      0.513403449918103,
      0.499956835420133,
      0.612868583220671,
      0.536971113793015,
      0.679223991169359,
      0.511259930448098,
      0.418373905332132,
      0.0483241501467429,
      0.714150032771145,
      0.618104730075938,
      0.730493450406477,
      0.714106102916294,
      0.717379781365957,
      0.732555923875927,
      0.652871104350366,
      0.663293618595469,
      0.603006362190782,
      0.601551082897279,
      0.605273458163535,
      0.68554835991142,
      0.524784404291052,
      0.718209743656706,
      0.696726986442753,
      0.353854267200264,
      0.627387359257567,
      0.566633466054341,
      0.632582673425652,
      0.521830491941589,
      0.526518213473081,
      0.406520306033412,
      0.649047121767309,
      0.729184206589823,
      0.653145236683515,
      0.633016562898575,
      0.518885220639724,
      0.685850686465803,
      0.574802808200507,
      0.602226575215337,
      0.662180731360245,
      0.688520156645333,
      0.309793992647535,
      0.634879083254937,
      0.726473941994137,
      0.648065738139252,
      0.491522303966736,
      0.553667796690238,
      0.723054908793571,
      0.616165062402673,
      0.524937966320179,
      0.539406138801598,
      0.285536373372053,
      0.703285959512976,
      0.646509129410794,
      0.631655164969396,
      0.594449245805229,
      0.591157042193714,
      0.328721196549339,
      0.713164798471215,
      0.64307590386451,
      0.630163655246049,
      0.604949431048155,
      0.615173614984971,
      0.538085302123233,
      0.601361473365127,
      0.639011181798655,
      0.675817907860621,
      0.489729274823104,
      0.56209922787151,
      0.605052484587434,
      0.67959803222741,
      0.553278646815444,
      0.49193444053964,
      0.423306398867358,
      0.69850831049832,
      0.650916355037659,
      0.726591919932456,
      0.687378374613725,
      0.696721301696896,
      0.581694211389091,
      0.661033517298726,
      0.707420078652736,
      0.607449247001348,
      0.606545292915681,
      0.458004218891606,
      0.590519695731817,
      0.562540594526482,
      0.571846066828632,
      0.591916499982123,
      0.603022924200913,
      0.389754813726743,
      0.618973980714717,
      0.640519267540338,
      0.693555064478236,
      0.616405707925036,
      0.5141452794015,
      0.668605227871067,
      0.62916786074054,
      0.666798025088158,
      0.658590309770186,
      0.68335743196254,
      0.677907418050212,
      0.681962982143891,
      0.720278572677407,
      0.579107077626381,
      0.604777887786669,
      0.654112193372636,
      0.693648502995272,
      0.655487322165848,
      0.703053763428061,
      0.68483264221105,
      0.533479336037035,
      0.431414534239935,
      0.707727371452233,
      0.672235865375645,
      0.717038189929582,
      0.536607092376311,
      0.305031088132211,
      0.723194101744495,
      0.61851477563727,
      0.648591778541512,
      0.499753147810529,
      0.484565714599929,
      0.664508480912264,
      0.538901652465015,
      0.627417921769251,
      0.536467875879815,
      0.522909514281111,
      0.422987567882748,
      0.641768533027673,
      0.7175226866036,
      0.56062957697631,
      0.480505367061948,
      0.45267435805528,
      0.615717209079502,
      0.554798036449671,
      0.608918382588102,
      0.578925610693857,
      0.469999476160112,
      0.605708707797892,
      0.599346633450919,
      0.657193148382082,
      0.518146252852478,
      0.51523848154671,
      0.309988149935458,
      0.670322328095764,
      0.601462271423601,
      0.583176309470144,
      0.532848671153836,
      0.608577782237247,
      0.329548384721954,
      0.606523429991245,
      0.608905014923801,
      0.467633144626572,
      0.551129061307991,
      0.581875965794625,
      0.676336191762015,
      0.538674229012078,
      0.529725095841696,
      0.535129259946563,
      0.572230092728875,
      0.4520921523847,
      0.137770623201026,
      0.60014126107783,
      0.606434521330827,
      0.619616004218626,
      0.33480592868185,
      0.607043017108314,
      0.666604257695572,
      0.595011639408369,
      0.641991423103977,
      0.525759427135417,
      0.528337920615467,
      0.563284634333577,
      0.604567007187039,
      0.521016476593028,
      0.503238237916775,
      0.463561854537479,
      0.615445210254355,
      0.703071377902745,
      0.511308289046914,
      0.425587216153757,
      0.325187540206557,
      0.669691180758314,
      0.547246610644433,
      0.731430411435783,
      0.71324857199424,
      0.722221096266328,
      0.608459595310788,
      0.568653914484662,
      0.690011310082322,
      0.54353430659629,
      0.567499820975598,
      0.584965285627177,
      0.702827505622899,
      0.570507175595624,
      0.71212717580132,
      0.694208127651203,
      0.550363337914575,
      0.611964883330283,
      0.602358080851286,
      0.653680488892119,
      0.532751536482725,
      0.463592249887609,
      0.367452532650152,
      0.667258754700829,
      0.689005793015485,
      0.653253507870557,
      0.598835961366335,
      0.513191863797275,
      0.55527885597384,
      0.554820323823168,
      0.637248413641708,
      0.618773993539163,
      0.649675040309656,
      0.297165236147784,
      0.654028454731731,
      0.66063543006375,
      0.621612983166981,
      0.487675857767639,
      0.604196909981044,
      0.654664215381944,
      0.665831138993614,
      0.604133465304705,
      0.580109204562482,
      0.32835402678452,
      0.706810566135459,
      0.573356747854552,
      0.694326655622899,
      0.618300413972722,
      0.604528184524231,
      0.299006965558987,
      0.695642806053425,
      0.577101143213185,
      0.607185354722273,
      0.59499905969163,
      0.643855055867774,
      0.561138883041429,
      0.626716798273602,
      0.681916812949327,
      0.635749018002788,
      0.493971006479354,
      0.635445950705759,
      0.700712275647249,
      0.666671483219768,
      0.579293394719768,
      0.542379482620094,
      0.506718194459402,
      0.62558208495775,
      0.667690687880264,
      0.728837273026284,
      0.704590010426324,
      0.69151169660808,
      0.649713224623194,
      0.676859237289706,
      0.443052776893723,
      0.663021543575898,
      0.630861197883091,
      0.575671812500593,
      0.665149043945892,
      0.643115885179626,
      0.653799697907134,
      0.643562103676621,
      0.623776528064211,
      0.488557973816351,
      0.570300017862727,
      0.706754177542519,
      0.761283309642129,
      0.659391125612184,
      0.517985608331127,
      0.691913562641414,
      0.673717263144188,
      0.627457404529368,
      0.682083469563554,
      0.65942500339382,
      0.675984351152309,
      0.694654628904543,
      0.698496339090592,
      0.608419491056308,
      0.6422512878581,
      0.645302098373571,
      0.725268037048815,
      0.635606598085516,
      0.700877030398353,
      0.628438026470691,
      0.556913005760955,
      0.268559070234905,
      0.729500637544244,
      0.684812057578995,
      0.722145527186789,
      0.541786962758991,
      0.453272411830288,
      0.627845497708645,
      0.66658006785636,
      0.635974508738996,
      0.591588297136591,
      0.365173411243049,
      0.536529766239181,
      0.564485063032503,
      0.641874329978221,
      0.563350539101445,
      0.510990874720244,
      0.54414887198667,
      0.657198190200361,
      0.600455242773056,
      0.547520278442539,
      0.512727025677807,
      0.553133608688573,
      0.426741638280291,
      0.551755783460532,
      0.59430433450663,
      0.517598519684085,
      0.331540447696743,
      0.560137634662367,
      0.616001905836956,
      0.682630999887052,
      0.540904280279427,
      0.45720853817527,
      0.280467161586529,
      0.7023694078315,
      0.533985925567393,
      0.602796942157315,
      0.519265056284048,
      0.500461310910544,
      0.359864134559431,
      0.610413746493943,
      0.67635171540655,
      0.527941663889453,
      0.489358342018026,
      0.495073855111978,
      0.701239461173844,
      0.524944368991067,
      0.571291705103166,
      0.503944753657327,
      0.468387723657799,
      0.328534994689507,
      0.572570670898206,
      0.696934485652401,
      0.62160969772363,
      0.652120014803299,
      0.330335333554277,
      0.602071809670176,
      0.579181955732968,
      0.562854739409345,
      0.562032916901864,
      0.55165786277381,
      0.455964455272238,
      0.58451016001344,
      0.615269392382126,
      0.629544248364358,
      0.618307206245747,
      0.340883635308298,
      0.633877650059644,
      0.639666382217965,
      0.491786453583923,
      0.648812204725575,
      0,
      0.593415582056507,
      0.576873228139588,
      0.483203998336626,
      0.500726694524625,
      0.283268251691216,
      0.531383431076206,
      0.517430394744235,
      0.540368803531086,
      0.595409356965836,
      0.591476925900129,
      0.50207868861821,
      0.58075688718368,
      0.3539517976933,
      0.52852186125994,
      0.625792772399776,
      0.499941539321064,
      0.569590904201596,
      0.569542696126019,
      0.506799201657256,
      0.526267074211218,
      0.272096932611754,
      0.659122463738404,
      0.580720246544356,
      0.479611923055803,
      0.492493868144976,
      0.519780370991703,
      0.283480355046088,
      0.493602023935515,
      0.282877841635426,
      0.66675047454991,
      0.569362547917736,
      0.499692999796822,
      0.45463885553176,
      0.579136460194911,
      0.400916278419769,
      0.573127219743257,
      0.45863638998178,
      0.437537812104728,
      0.617428696979412,
      0.530397400488578,
      0.605359979152564,
      0.563010751963312,
      0.660284962094258,
      0.61221476559407,
      0.706861303708083,
      0.611088319676078,
      0.56895679081059,
      0.631870442944036,
      0.442246852182881,
      0.550833458902484,
      0.684605674120974,
      0.688322848003405,
      0.65563214074528,
      0.50923559735735,
      0.605827567860805,
      0.652089308716379,
      0.535268536449187,
      0.539478201743193,
      0.581906928266262,
      0.297962220764572,
      0.639955902121402,
      0.596828853462425,
      0.590396804755954,
      0.611274867670076,
      0.476900296889142,
      0.622518165562757,
      0.613864086908844,
      0.558000961725498,
      0.605172288432816,
      0.600485217826782,
      0.605597147210288,
      0.611980230611328,
      0.669647903531209,
      0.578139342101518,
      0.631209255237941,
      0.560769714365309,
      0.662759112755277,
      0.621974289062307,
      0.616264251649286,
      0.60186857094886,
      0.525156769565174,
      0.624324826846707,
      0.678811134743614,
      0.615223454210124,
      0.610954461775701,
      0.556445859178137,
      0.390653118803426,
      0.628372440843665,
      0.599442324757003,
      0.49917802517542,
      0.586783728821645,
      0.608735133982689,
      0.655454927366167,
      0.42853196154891,
      0.63808547168446,
      0.516092700757291,
      0.451607123014643,
      0.204622116554917,
      0.58154584283017,
      0.644193770196737,
      0.476745206471329,
      0.594087164275,
      0.631844259478648,
      0.705697815528062,
      0.486778326658345,
      0.563254555968054,
      0.520948589878391,
      0.473965150369589,
      0.49767117320557,
      0.539514420579892,
      0.541796767356688,
      0.577999057600231,
      0.521767118227477,
      0.551447333899315,
      0.553257566552308,
      0.464595572775531,
      0.633803451262371,
      0.542357759933499,
      0.460477453229618,
      0.294812862944269,
      0.551405179658361,
      0.570671614913159,
      0.615215016771254,
      0.614863415207308,
      0.608215023910562,
      0.587700928208576,
      0.579708345551884,
      0.54972653896415,
      0.621729785362737,
      0.58679582072409,
      0.564154625550531,
      0.475540564509214,
      0.490236927648142,
      0.593382715058237,
      0.325500371147935,
      0.429777099720118,
      0.499463942856539,
      0.687081147383481,
      0.513660138581017,
      0.507826692628687,
      0.391335590429791,
      0.56788412920556,
      0.459688332539459,
      0.568616726123295,
      0.456968822888894,
      0.471757461359489,
      0.506938404096633,
      0.531264566364204,
      0.670117014080452,
      0.511801547586627,
      0.393946129121246,
      0.287717609769894,
      0.695288782112407,
      0.586440234022709,
      0.632016283333431,
      0.616690167910626,
      0.617196339234223,
      0.652880767235751,
      0.673682409588281,
      0.635387121294227,
      0.685173041231918,
      0.68074895867491,
      0.638120689261367,
      0.666332949575982,
      0.719094729656274,
      0.623541569731106,
      0.61263149839296,
      0.437100778155078,
      0.605809094348082,
      0.531369321971094,
      0.579221421051295,
      0.485563723109522,
      0.448341768088226,
      0.316328978537151,
      0.613307738596815,
      0.644096221930868,
      0.556630633361485,
      0.556600037220879,
      0.496747331727194,
      0.653934186401667,
      0.48642707998128,
      0.550858134104527,
      0.599946392146558,
      0.619744861023034,
      0.217120410284447,
      0.651461599689619,
      0.675527916046774,
      0.586000103868436,
      0.660595114292999,
      0.447229865694983,
      0.675554949404783,
      0.657571408427236,
      0.541481221576892,
      0.498171665974062,
      0.281433794005718,
      0.676593830154597,
      0.590304286018724,
      0.552571117987244,
      0.46961153317571,
      0.52969998397798,
      0.291830361112783,
      0.608210484364301,
      0.619426079437418,
      0.699057010692659,
      0.597730320063012,
      0.49792107706739,
      0.536219322125304,
      0.616076132770029,
      0.615976949292592,
      0.608266452950034,
      0.592961998803315,
      0.467964595516917,
      0.581374152403912,
      0.636750079925607,
      0.512670753835451,
      0.550379372072695,
      0.581424002573378,
      0.635008411279734,
      0.622665057203116,
      0.608906914599371,
      0.581827245740622,
      0.682510057845432,
      0.474766740683542,
      0.60824560716946,
      0.659217290856818,
      0.626987892491095,
      0.658649088758366,
      0.518880576957183,
      0.58319924470485,
      0.681135940642819,
      0.5532350231792,
      0.506562469676535,
      0.553899706691844,
      0.328265615814064,
      0.693032642056939,
      0.585158466039361,
      0.554296808049854,
      0.595394751367234,
      0.432855424233041,
      0.624479635412313,
      0.639544685931235,
      0.532038238794891,
      0.562008665437593,
      0.581332404891254,
      0.581444014204101,
      0.596761349110089,
      0.680788798030889,
      0.619131432635511,
      0.617162287712961,
      0.548774051577096,
      0.644648894921445,
      0.634035733086788,
      0.617759101997515,
      0.647975595965514,
      0.561332132448531,
      0.604551760252119,
      0.648092960902274,
      0.612438448204052,
      0.622035853917852,
      0.473901800912618,
      0.363011469929191,
      0.615978682240975,
      0.648517928634932,
      0.523524364807349,
      0.612373647838535,
      0.403599254432838,
      0.64033057269518,
      0.440236034279304,
      0.57435492210785,
      0.475195053671234,
      0.443206242859335,
      0.342602207522759,
      0.592106510104725,
      0.700182577305251,
      0.524430363449872,
      0.491577302180402,
      0.478241169482433,
      0.611873721475964,
      0.544662455181046,
      0.561894426298297,
      0.536602646137402,
      0.553923084669128,
      0.510974828959304,
      0.554753008699509,
      0.563982925994259,
      0.549869127031962,
      0.424779980857668,
      0.585078430669147,
      0.578217190496564,
      0.54371794209689,
      0.588935378157736,
      0.495417968617332,
      0.567875324829124,
      0.295670467367543,
      0.562492482344804,
      0.580998181783717,
      0.514505580969239,
      0.530118435521642,
      0.496826019459926,
      0.614718750731412,
      0.620760629191136,
      0.527994322737085,
      0.490905779689461,
      0.545927755260537,
      0.61015400855475,
      0.144594256203485,
      0.499058904589485,
      0.514096015388769,
      0.514086080010209,
      0.61201541651537,
      0.51241546458153,
      0.548819109358564,
      0.497316922402827,
      0.629430037278251,
      0.459579095836186,
      0.561526805034729,
      0.501475372538127,
      0.564903244726475,
      0.570676559771919,
      0.452359617771836,
      0.368009639131986,
      0.608869515401836,
      0.63069366166664,
      0.431568771082984,
      0.365524710008545,
      0.498475374529124,
      0.660512686973919,
      0.619608210305332,
      0.659058622957972,
      0.615368659761084,
      0.62206185097326,
      0.568623834013959,
      0.510149643046656,
      0.640569171636012,
      0.681313709090338,
      0.684394643760396,
      0.648868577274324,
      0.657188026679836,
      0.73034064376814,
      0.624687646197026,
      0.600084913141332,
      0.48177635145122,
      0.546861387259106,
      0.540018857025389,
      0.593163938077668,
      0.495219369259643,
      0.455292698318946,
      0.319608285018998,
      0.601633990885276,
      0.658205076570467,
      0.559805355690249,
      0.564809858453559,
      0.559844434885667,
      0.538994894953455,
      0.450506407200403,
      0.617782668291846,
      0.63846805462742,
      0.551623011846789,
      0.268429401406767,
      0.672274863872073,
      0.679142124176289,
      0.582525705119125,
      0.624749721536671,
      0.569981747129984,
      0.604351989837464,
      0.676587146680536,
      0.551375889644313,
      0.559093368953065,
      0.386438087932991,
      0.665511789508211,
      0.608717751825981,
      0.585658003379495,
      0.495544934685521,
      0.52377839147917,
      0.253117190134266,
      0.619095040903055,
      0.509063464929764,
      0.664212420650935,
      0.597092709935088,
      0.489408989240423,
      0.517260538920912,
      0.643693832465768,
      0.664371165018293,
      0.550911417503904,
      0.615671011461646,
      0.492221678408651,
      0.624026146385089,
      0.667412571173049,
      0.538900586711047,
      0.547792230354449,
      0.466680422593972,
      0.579375681649225,
      0.628917280310005,
      0.620894524542049,
      0.623240719669743,
      0.6731360605672,
      0.568581037241961,
      0.547532143690753,
      0.547020583189885,
      0.667940234893322,
      0.668166003700739,
      0.547469756302131,
      0.610040957983028,
      0.704231840407972,
      0.535715437804622,
      0.51698120140228,
      0.566487378695803,
      0.489396541484002,
      0.573594691483771,
      0.622035399687543,
      0.651456153199152,
      0.607622230092238,
      0.46248100212478,
      0.68248893607085,
      0.705040887803395,
      0.540436091924683,
      0.568577965803126,
      0.580953895483179,
      0.585578973489631,
      0.567000577284558,
      0.701816317768172,
      0.618208787790563,
      0.600945995793399,
      0.577685731086323,
      0.678506020601998,
      0.591165746341639,
      0.59972918236845,
      0.634956652597016,
      0.609074849051456,
      0.484100530286765,
      0.635941884918791,
      0.617571894648044,
      0.63374550233889,
      0.481221757312119,
      0.465058016698617,
      0.316046081317038,
      0.604469301489346,
      0.519798384911565,
      0.608900121962991,
      0.348369474400803,
      0.514220621982713,
      0.599168044990291,
      0.618261873817583,
      0.496774199616096,
      0.466764122998093,
      0.377105766255734,
      0.623996262533653,
      0.624504251322022,
      0.53091789720098,
      0.484763404203125,
      0.515087016978559,
      0.554327769077972,
      0.49490012703805,
      0.552902755230718,
      0.484907953717139,
      0.259491093564502,
      0.461789499731402,
      0.534594769568171,
      0.592711295839398,
      0.496383628853337,
      0.362315101006895,
      0.376924944048347,
      0.618369673550538,
      0.514843906268761,
      0.555054942306688,
      0.511582322967453,
      0.444825023669239,
      0.375365575625678,
      0.550000421106786,
      0.617879092584422,
      0.600309042156011,
      0.500161614855813,
      0.609286360461302,
      0.620016214876536,
      0.604608709089653,
      0.511577893367854,
      0.477342056875832,
      0.408091176205648,
      0.442367776462755,
      0.484649551670167,
      0.603253691592,
      0.511050012170877,
      0.638694333844639,
      0.239822783653993,
      0.507024250230413,
      0.459293304408727,
      0.518430573508122,
      0.536059327046383,
      0.584328032994731,
      0.456437538929524,
      0.531733673026391,
      0.5741520309968,
      0.568435629462601,
      0.559755637303918,
      0.326504849875608,
      0.592173794238706,
      0.669198755955066,
      0.491285417297779,
      0.624679327625055,
      0,
      0.620903663267085,
      0.463405140114629,
      0.166539210256127,
      0.340567913563041,
      0.204420207027227,
      0.40518526259305,
      0.580255915946482,
      0.628035435717401,
      0.611948230864684,
      0.632157623499302,
      0.363828659683765,
      0.579374703175688,
      0.505339914404033,
      0.199630917444655,
      0.639980730407333,
      0.337708415862191,
      0.205765327842932,
      0.540408419892883,
      0.269614220283953,
      0.532219393523722,
      0.427013949362129,
      0.377065117626508,
      0.576490079316617,
      0.157986017074561,
      0.342332586385896,
      0.230967056668607,
      0.16591811390588,
      0.199460599568196,
      0.371088400857613,
      0.661806322627911,
      0.577459819976739,
      0.31295707179906,
      0.39063284347877,
      0.534433602403822,
      0.375022114449004,
      0.259131343202158,
      0.504397057302976,
      0.221817437293079,
      0.256900346738527,
      0.534841914641281,
      0.481687250812209,
      0.572339889426443,
      0.71096506393857,
      0.161430989013825,
      0.726012166050933,
      0.376646156758513,
      0.30112401708098,
      0.467031769237014,
      0.149531515271209,
      0.443672720170881,
      0.721966539409829,
      0.667714333193331,
      0.646056475732918,
      0.486632783759509,
      0.628988657406904,
      0.63352053420488,
      0.540720845075136,
      0.499262178104269,
      0.446041978344946,
      0.153922190979219,
      0.591442125936233,
      0.585173635612237,
      0.521623499123534,
      0.587811258014324,
      0.176023628586242,
      0.591838871170367,
      0.628166600004234,
      0.350782591530089,
      0.554593716933306,
      0.437857991527253,
      0.362887885298703,
      0.443726820904354,
      0.693573895201654,
      0.527797407281727,
      0.665822885433901,
      0.559073300704023,
      0.635275536264644,
      0.653516864734284,
      0.502553150714141,
      0.492337103980189,
      0.515614461710338,
      0.65103003605189,
      0.686589606019273,
      0.54770103732244,
      0.485449758913181,
      0.49193223252072,
      0.389858920849077,
      0.547584836219647,
      0.556043102856906,
      0.34561019307589,
      0.469950333959042,
      0.618631397490511,
      0.54540110066083,
      0.351472237240345,
      0.630446839619241,
      0.492805552522674,
      0.465115855240983,
      0.185771385435791,
      0.589404517593565,
      0.607131098752806,
      0.484609780120844,
      0.599798084041879,
      0.640045828981759,
      0.665009653735909,
      0.466575434414001,
      0.548972072972966,
      0.54377739039632,
      0.533323983048967,
      0.520140433786819,
      0.517360143049886,
      0.425954009420479,
      0.371609132606888,
      0.442589169984583,
      0.554869786851152,
      0.450309300303144,
      0.485124769566637,
      0.547906225716063,
      0.549405207071696,
      0.433975945050759,
      0.484236420848771,
      0.557284312628529,
      0.572658375910374,
      0.618471116869116,
      0.621174998804819,
      0.541696383610196,
      0.552639147279122,
      0.597424491172853,
      0.543861128473372,
      0.648609762069119,
      0.582048013390445,
      0.546760417705837,
      0.431305375899812,
      0.389730248562391,
      0.374199779582127,
      0.285947212143801,
      0.31740132008614,
      0.398768960473278,
      0.706458901082011,
      0.51274033644073,
      0.474913227088439,
      0.377500140459895,
      0.544725062694482,
      0.471503715149572,
      0.536027423799013,
      0.427124179050118,
      0.421615819943766,
      0.461661945581072,
      0.521372134733388,
      0.660027865830819,
      0.51617008873714,
      0.401091479154285,
      0.297162783073146,
      0.623653233923556,
      0.566465855102521,
      0.501261465765568,
      0.347252248023224,
      0.431422557070584,
      0.431705066615707,
      0.620406912105249,
      0.642689200665706,
      0.69460901568164,
      0.689841492180936,
      0.687231490455318,
      0.664742909179381,
      0.732194428503304,
      0.492509814781866,
      0.462759664012643,
      0.534117960850919,
      0.57768029465252,
      0.486850490185091,
      0.558509085183306,
      0.47572321122088,
      0.437833067300153,
      0.312396273050112,
      0.621257151067348,
      0.534701977580081,
      0.379750936656433,
      0.411652159045292,
      0.377379063796255,
      0.59999045730028,
      0.374145080505756,
      0.560722865483839,
      0.667505659630624,
      0.612656236905351,
      0.236796544925134,
      0.682144455270485,
      0.647537179982923,
      0.494852123578309,
      0.699119007844335,
      0.341609843374742,
      0.63081995959733,
      0.681422289308283,
      0.534735589978251,
      0.487133487102117,
      0.416766814287624,
      0.355670208990296,
      0.527888330138191,
      0.474461328837305,
      0.383869626228973,
      0.276354182503465,
      0.312368371554208,
      0.451127649454755,
      0.565871668726434,
      0.702910782232591,
      0.61133056601515,
      0.431383931245612,
      0.377363806162828,
      0.597846835794092,
      0.588631175306329,
      0.471407248364826,
      0.612167463983203,
      0.287391001425199,
      0.568232908663637,
      0.627624245990646,
      0.509104167062247,
      0.486126560354083,
      0.633973607324199,
      0.607863822799175,
      0.643523900733242,
      0.372557623665138,
      0.315902352650953,
      0.601852659380991,
      0.161530522233456,
      0.545881656644359,
      0.692711542673384,
      0.598600399248175,
      0.650480210998907,
      0.496683916760919,
      0.573540679960886,
      0.712612165550291,
      0.548431250344963,
      0.483246315862666,
      0.48783280881033,
      0.209034848996736,
      0.681141262931702,
      0.568177158465015,
      0.390165536087734,
      0.556610729432967,
      0.174938101754381,
      0.57897409953154,
      0.634408034480597,
      0.357973622228011,
      0.566317474493647,
      0.60215071574311,
      0.433760687023529,
      0.52747992501651,
      0.692278139095059,
      0.620940481478413,
      0.662064625951388,
      0.553461656766516,
      0.655755079539108,
      0.63643405693451,
      0.516918543811526,
      0.475609649571148,
      0.518580854933653,
      0.647979991905263,
      0.573385101580921,
      0.566877859832711,
      0.469841956900516,
      0.443723871054791,
      0.350318824956265,
      0.576359819617347,
      0.57454908168405,
      0.402206425456148,
      0.607493461900514,
      0.325072615792808,
      0.587380737191763,
      0.320224673502431,
      0.59122655966076,
      0.489264656799086,
      0.451274803599889,
      0.373229116687721,
      0.602988413406113,
      0.649957004159574,
      0.515416496326538,
      0.495564643877808,
      0.484638283761286,
      0.602717076255983,
      0.484004410149337,
      0.564057263692146,
      0.595473296680823,
      0.593190704244298,
      0.260432782321615,
      0.532862969367685,
      0.44752157956044,
      0.541656074549809,
      0.316627161961751,
      0.595411578638309,
      0.464186778411426,
      0.520156490618365,
      0.563772697807578,
      0.504036789451026,
      0.51314222853284,
      0.366615004022178,
      0.571721391047285,
      0.566678629284114,
      0.520745561973009,
      0.573634033782368,
      0.436876014346761,
      0.580026307627345,
      0.62537539123217,
      0.531263672700442,
      0.469786947516313,
      0.487035631572843,
      0.615096036230342,
      0.158115530795813,
      0.400377552496997,
      0.367426160547685,
      0.29904111533816,
      0.615203838663875,
      0.425960416099225,
      0.553624947914964,
      0.506912320217816,
      0.564727124128733,
      0.404214852918922,
      0.561980596002701,
      0.508279377426543,
      0.548792970183626,
      0.562086164226317,
      0.431238329045695,
      0.426887233672176,
      0.599577763109631,
      0.575044350393787,
      0.447090118018867,
      0.483605208259362,
      0.52205203241991,
      0.60782057930605,
      0.651964389394305,
      0.60048492707771,
      0.44510299989275,
      0.458512262699873,
      0.44449874092776,
      0.483861089461916,
      0.653283170907701,
      0.689743697878778,
      0.691083331450552,
      0.663231501089445,
      0.658288329226519,
      0.733499802355815,
      0.523019402488793,
      0.469263770194044,
      0.554530903880938,
      0.443959396621718,
      0.498207095497466,
      0.570059342549829,
      0.482988530956539,
      0.449742727763961,
      0.213171846391997,
      0.576313078167652,
      0.562827952607191,
      0.383918290148935,
      0.415731358684522,
      0.420299503625855,
      0.540585264130098,
      0.352324167682366,
      0.639898077032636,
      0.702989366319489,
      0.604268364222272,
      0.269903595135193,
      0.7198145411092,
      0.656723390728756,
      0.491849621716223,
      0.638993040579317,
      0.452277433956603,
      0.585799471599619,
      0.718731185690236,
      0.543252111004177,
      0.5027799559706,
      0.545194504522669,
      0.373522381047393,
      0.522119686366248,
      0.468642276840249,
      0.387542932982925,
      0.296215236876798,
      0.258424860605883,
      0.495585841471819,
      0.470129409258331,
      0.613098317341494,
      0.641045777787055,
      0.457188235656635,
      0.362843392760846,
      0.626746007065825,
      0.642874729927757,
      0.490092518869383,
      0.651891803333038,
      0.289947666290429,
      0.581610467136731,
      0.694732454250589,
      0.525884000190384,
      0.536802387679169,
      0.479557447845147,
      0.546879196228422,
      0.652050516979328,
      0.313298587747465,
      0.544989254233432,
      0.618639694654753,
      0.335987143842785,
      0.518784192299299,
      0.615587608673355,
      0.640483067366278,
      0.64942656529817,
      0.463809760293206,
      0.589793350031522,
      0.73021943115962,
      0.358147396053617,
      0.442975139500358,
      0.506238005653322,
      0.492336387448904,
      0.627324693492527,
      0.358548251706244,
      0.515789646502307,
      0.493767431731088,
      0.251243310703466,
      0.438078467266824,
      0.72201624468403,
      0.387539844657743,
      0.555145854957529,
      0.557498510751333,
      0.331869756491405,
      0.543238207733734,
      0.696194153638873,
      0.624914891354901,
      0.555938823923904,
      0.592032976491331,
      0.663069018283974,
      0.568122596111787,
      0.520348585743697,
      0.468643528267377,
      0.543295522696374,
      0.538990351946982,
      0.510015967314038,
      0.583067282738806,
      0.513747195915622,
      0.448754195448791,
      0.582185159499932,
      0.25872328171324,
      0.504764375594017,
      0.499340245231721,
      0.535887780578839,
      0.421043288127974,
      0.518246679866046,
      0.572951551174158,
      0.620110783244529,
      0.524556888536087,
      0.510215822504793,
      0.311460545429211,
      0.634907387748619,
      0.634959538077974,
      0.516735604227861,
      0.503097722256811,
      0.381464984990245,
      0.570150349034348,
      0.467774226235207,
      0.532825648364193,
      0.464866642430272,
      0.222888562221387,
      0.202808881183106,
      0.471472769626575,
      0.467050204254784,
      0.515836694837879,
      0.315697120739925,
      0.354859795322999,
      0.548405655039909,
      0.602479162041793,
      0.562964491725604,
      0.521264778209717,
      0.450977447621477,
      0.332002411309939,
      0.56442974979276,
      0.594745086088675,
      0.591522263660332,
      0.488417255523947,
      0.59545930901168,
      0.569849211207753,
      0.605975549078883,
      0.457589629164591,
      0.468189278791105,
      0.375802407863039,
      0.444236956248798,
      0.444830529462613,
      0.498366473680852,
      0.397115773678787,
      0.466163670898526,
      0.253659833857434,
      0.503211569739703,
      0.575966161060591,
      0.537200203958655,
      0.617591795105679,
      0.601657118691378,
      0.433855300715982,
      0.536661307726528,
      0.575938604172734,
      0.508094180413794,
      0.605070131964994,
      0.280529680797602,
      0.557568731762405,
      0.572724736747398,
      0.485980589659085,
      0.341839383750877,
      0,
      0.466750672921602,
      0.446813437799753,
      0.427061301954953,
      0.495139579573386,
      0.315356751438892,
      0.349366606099409,
      0.613241619327982,
      0.516299471767597,
      0.442980166005415,
      0.538340418672224,
      0.289546872020647,
      0.42617486782831,
      0.64505404199579,
      0.252890739817933,
      0.508366532820295,
      0.242755374093744,
      0.195120471805482,
      0.519828062403257,
      0.250300231015474,
      0.392937592927914,
      0.5631203589026,
      0.336176730296008,
      0.410704405263977,
      0.130710028518263,
      0.2761265503443,
      0.398794963756466,
      0.442971992434906,
      0.415678266004224,
      0.464114949235276,
      0.347354259392909,
      0.316174162036828,
      0.240734191355825,
      0.317266444384347,
      0.247374897429995,
      0.407193111985783,
      0.191075527573973,
      0.420498243683294,
      0.200927127692612,
      0.190405181048108,
      0.653058456912045,
      0.433894545773557,
      0.36344500564656,
      0.597363864225805,
      0.172185677639685,
      0.516169366848959,
      0.598886537850598,
      0.515735779596543,
      0.47523118110972,
      0.134803779772273,
      0.537990868338497,
      0.627767748094233,
      0.519548051066076,
      0.550122206987363,
      0.470809041795861,
      0.616354769243002,
      0.573707483805452,
      0.33287925608578,
      0.525089938033137,
      0.486071933602551,
      0.231843122290591,
      0.436605005855403,
      0.449858870109795,
      0.381754888155833,
      0.281578505320388,
      0.175059996833697,
      0.46851285959279,
      0.574417074458114,
      0.545393593626626,
      0.497763488906849,
      0.416941800880866,
      0.597481374912153,
      0.635183237614334,
      0.577277724445308,
      0.563928909618762,
      0.614676413919397,
      0.380069042721692,
      0.629974304905936,
      0.531327058907928,
      0.597244919268033,
      0.48350100779583,
      0.454325084671544,
      0.572305278079315,
      0.483204154264021,
      0.42088125160606,
      0.329120261392425,
      0.437795872511616,
      0.281649749667069,
      0.488421672418163,
      0.698222354353134,
      0.543843429988839,
      0.518198881822663,
      0.395416501597585,
      0.594403345151817,
      0.545200579203951,
      0.576811813631811,
      0.495384085176621,
      0.45448007490258,
      0.176387321546917,
      0.552135402873314,
      0.493193995562558,
      0.564191603675727,
      0.377167469562643,
      0.377475107891078,
      0.558322924538254,
      0.514184776119383,
      0.61591346519114,
      0.457313305873853,
      0.531297414422782,
      0.627257091574471,
      0.37547341933773,
      0.652197212494996,
      0.529125974378118,
      0.486167978956676,
      0.257485047963362,
      0.66841972087973,
      0.651698601018549,
      0.531590151363489,
      0.583195475411291,
      0.391157557854217,
      0.575810891207948,
      0.521216071145085,
      0.657323768095256,
      0.441161591358219,
      0.365181514490078,
      0.513351115418713,
      0.433432041004952,
      0.499847453754864,
      0.62598637209484,
      0.587679543935915,
      0.400756918085904,
      0.563963583539247,
      0.327204955177836,
      0.600314143465157,
      0.525171978161513,
      0.472288951756249,
      0.213014380344235,
      0.621263023457784,
      0.670133360194662,
      0.507323039105821,
      0.478531320394483,
      0.346102530957324,
      0.646976807385011,
      0.506449849404605,
      0.473557889236091,
      0.417653066997354,
      0.348120230042446,
      0.62570109793155,
      0.394224893428266,
      0.517393859967857,
      0.430079149294587,
      0.581525099574217,
      0.0767820264561901,
      0.488721608727798,
      0.446847645493813,
      0.606069479051949,
      0.612844667274209,
      0.536362032906092,
      0.41547704286522,
      0.605908244537257,
      0.613722379562022,
      0.488994570327051,
      0.513826234960955,
      0.616636938465394,
      0.56140170515675,
      0.531959448221114,
      0.51260858235572,
      0.498845231061033,
      0.446115813796269,
      0.419262749319673,
      0.350992255831077,
      0.531096228906499,
      0.498001739392456,
      0.343268906943868,
      0.294280880164545,
      0.497452109545665,
      0.655766998053606,
      0.546139367538197,
      0.518849179869452,
      0.335661745758634,
      0.507115623146621,
      0.542149975893123,
      0.524871627739425,
      0.544886460940309,
      0.525459695903136,
      0.187432618561724,
      0.579861985873882,
      0.676594382818381,
      0.388113347048803,
      0.522976165840224,
      0.315419143527712,
      0.510019059344249,
      0.555193163862752,
      0.411810317950233,
      0.380636132235719,
      0.544772567042192,
      0.248880412207817,
      0.414473749343408,
      0.664806891641129,
      0.526843445434321,
      0.400080565130389,
      0.469379463593655,
      0.669111867159575,
      0.630020055657909,
      0.556037285152668,
      0.559606609643842,
      0.423484853193849,
      0.432910261104205,
      0.520779651886184,
      0.512873124790127,
      0.407394912663614,
      0.476374200444315,
      0.267516995455612,
      0.422645105071071,
      0.618297396277177,
      0.40672191046826,
      0.379208155344046,
      0.613231816759153,
      0.52751165047341,
      0.532749230692057,
      0.609119313599208,
      0.516073295232342,
      0.482575643936665,
      0.160777357118301,
      0.641926985842003,
      0.61729117559461,
      0.541758032542328,
      0.571114637378179,
      0.40235821548509,
      0.571653917366913,
      0.555002694533879,
      0.419290950800135,
      0.527536745141096,
      0.492844320776815,
      0.192830430242567,
      0.498065169284371,
      0.459012403568961,
      0.329358489014714,
      0.210661350792688,
      0.186052311154011,
      0.518698614352273,
      0.506647727896594,
      0.562793116192874,
      0.556508434506338,
      0.562265549839521,
      0.615267936188306,
      0.607030126876372,
      0.545267008193083,
      0.61464341218959,
      0.561748708451249,
      0.461756006707108,
      0.623334586374945,
      0.549058488365998,
      0.591370424746111,
      0.551936922686219,
      0.391427223639395,
      0.568334003818439,
      0.454410801338276,
      0.393683810601055,
      0.40866433382271,
      0.397652463380353,
      0.271219566928375,
      0.498406340217459,
      0.534478343804982,
      0.53623196230379,
      0.543081242449415,
      0.356351857982416,
      0.633115190710981,
      0.543396808276573,
      0.563740040928713,
      0.492794081697018,
      0.461363543915678,
      0.577914794990508,
      0.562570485428075,
      0.519072942719414,
      0.521553505707931,
      0.31500537809851,
      0.304777738777146,
      0.596141149004754,
      0.510682347392018,
      0.579754490048562,
      0.527766996447634,
      0.571416832120904,
      0.623465951908206,
      0.387138090094268,
      0.666938349443167,
      0.570411663387681,
      0.461511474581926,
      0.324386556419102,
      0.666297015620747,
      0.587180262246176,
      0.557989122203967,
      0.48574581931282,
      0.448547608258225,
      0.58701268992347,
      0.53832796953703,
      0.5032823483387,
      0.554153684055407,
      0.490772560851213,
      0.50772970101894,
      0.45628981714694,
      0.588479989294082,
      0.60155667599795,
      0.462626016821277,
      0.373745048065797,
      0.548958548021308,
      0.180929310299198,
      0.626280138421364,
      0.511904921809335,
      0.475781243104076,
      0.304407734545692,
      0.638277582553063,
      0.54972238444735,
      0.500828448732297,
      0.541329190867906,
      0.369770629425735,
      0.693679940415099,
      0.516829783569442,
      0.460437206385951,
      0.456988880184187,
      0.426693815815577,
      0.475073661916217,
      0.486621198366008,
      0.48992660750089,
      0.484536942366535,
      0.580737644052159,
      0.431192324628109,
      0.514970621424441,
      0.478472173707763,
      0.624085330907542,
      0.658654828337144,
      0.615179199071808,
      0.520558462134683,
      0.589186322284623,
      0.634263897251705,
      0.469395405541658,
      0.498427399390776,
      0.437456431772415,
      0.58825661384417,
      0.5119550209955,
      0.48349269158709,
      0.457567410426053,
      0.497606156705304,
      0.362429086634853,
      0.356181265518436,
      0.405971332101488,
      0.495762451104547,
      0.363885385744341,
      0.20803661021464,
      0.472020433028737,
      0.509559813439812,
      0.533630930152075,
      0.537331794288821,
      0.421988074227251,
      0.491140216901474,
      0.554852890025188,
      0.533328386399438,
      0.570076257831103,
      0.557106459863979,
      0.242779819283228,
      0.594457886233787,
      0.581713787904479,
      0.369887004915695,
      0.449418014173742,
      0.352180825320927,
      0.50676517715012,
      0.616641602601408,
      0.387064273924554,
      0.33736139924362,
      0.591374152460056,
      0.271705924864981,
      0.387298324256731,
      0.671472191972659,
      0.535082651890872,
      0.486373811284724,
      0.388743295668711,
      0.673393849067442,
      0.496846408467867,
      0.540924655504422,
      0.525384677004154,
      0.466209933432071,
      0.269446262021273,
      0.526195998553673,
      0.579933323255266,
      0.455655816262969,
      0.542184011559026,
      0.271298068940566,
      0.485662184959544,
      0.637800298197052,
      0.35715440992779,
      0.529988628433706,
      0.607421985494223,
      0.518411399127906,
      0.536533030458878,
      0.386513856813079,
      0.525251141307875,
      0.514805137466891,
      0.551971828300545,
      0.453323259833267,
      0.570021021068318,
      0.557261329214762,
      0.573858783076769,
      0.440780031196479,
      0.53318161134566,
      0.556116870021915,
      0.493440036347663,
      0.526305240505784,
      0.49363136423513,
      0.366802281495124,
      0.536635055815445,
      0.398227061611133,
      0.363203120583528,
      0.348904646258497,
      0.168402162043793,
      0.340293023491069,
      0.510737689985238,
      0.591103606866833,
      0.586211656422293,
      0.53758504629657,
      0.587883400286364,
      0.655915785862065,
      0.588588658060768,
      0.609525085724979,
      0.565662484759714,
      0.484505476924066,
      0.636158341433856,
      0.576315228304399,
      0.592956741336881,
      0.534207087713561,
      0.412947549431874,
      0.374992673860182,
      0.401442937250505,
      0.440785203250045,
      0.434210286363598,
      0.290984887094796,
      0.616261578338999,
      0.22809347339506,
      0.413363042426179,
      0.512535015574906,
      0.539350812965093,
      0.445348813506297,
      0.474325952463536,
      0.566304786728836,
      0.556235622558537,
      0.487392454729326,
      0.520743141485455,
      0.28899769865737,
      0.581395145820098,
      0.545809831636643,
      0.341232233060938,
      0.362465286657121,
      0.293070879912412,
      0.536301736016413,
      0.495149771200564,
      0.39785057717441,
      0.404309188282771,
      0.163498503648277,
      0.212558635566697,
      0.384942378825091,
      0.655759811334087,
      0.584758674896486,
      0.496367964056179,
      0.192456200746355,
      0.712861326512007,
      0.550048644256127,
      0.545382714253447,
      0.498917876052383,
      0.491795240386632,
      0.244754939254493,
      0.556549990353303,
      0.599487141208379,
      0.495623802213968,
      0.309267509454833,
      0.394953097979126,
      0.47680267641479,
      0.413099051114705,
      0.376817647850371,
      0.305202588302941,
      0.257679426307875,
      0.351362190315532,
      0.350604711660091,
      0.633202116641911,
      0.605857151815159,
      0.649322170906972,
      0.459940650847774,
      0.647434691248031,
      0.67708142452216,
      0.684995001767944,
      0.632582632256658,
      0.421058037442946,
      0.59088827632365,
      0.515399468738807,
      0.628968175121444,
      0.445403545793783,
      0.527960248796521,
      0.248665709470395,
      0.399811329350249,
      0.499279118989818,
      0.345225684382347,
      0.223122753546534,
      0,
      0.357832796179814,
      0.441670971803965,
      0.42570035001543,
      0.535602128430855,
      0.365296316625417,
      0.23800769086772,
      0.567840212542186,
      0.428714721076975,
      0.175454579590602,
      0.28862731645308,
      0.278816501242205,
      0.147529954283026,
      0.583554860121309,
      0.151941760048347,
      0.329044629682606,
      0.216708984219244,
      0.162978752405955,
      0.34543779985476,
      0.192021284250827,
      0.206435064986079,
      0.511572457993161,
      0.303551397882296,
      0.228512423144221,
      0.0688298315995995,
      0.439036316589097,
      0.446038896152846,
      0.427230519372258,
      0.386420468546024,
      0.491056384573977,
      0.213273251014768,
      0.158890230840528,
      0.206105872156449,
      0.288560842896668,
      0.15560300235822,
      0.244517215841946,
      0.147597798533284,
      0.160015140131497,
      0.114204801108678,
      0.25135146696853,
      0.58030448822044,
      0.346982917929406,
      0.236600679096922,
      0.373824095292593,
      0.170810425547964,
      0.203819625827214,
      0.528837573258587,
      0.442734672647056,
      0.377704664553565,
      0.0662399988110646,
      0.517263999516591,
      0.508239611212884,
      0.471593531421134,
      0.504689753768132,
      0.348296108878684,
      0.568286067515614,
      0.574226487134016,
      0.401489867823576,
      0.638619256572437,
      0.595995940343466,
      0.356690727010921,
      0.499524164340644,
      0.593555990112933,
      0.412398564713254,
      0.281070427368641,
      0.173960711934039,
      0.618755899725907,
      0.48531905513744,
      0.470955571897246,
      0.329710968365649,
      0.369679180283463,
      0.558474131968102,
      0.617103243748805,
      0.521818506840396,
      0.581036969441835,
      0.601664519275042,
      0.355155873385626,
      0.568615339361638,
      0.601367462594759,
      0.727770963182531,
      0.616317247689501,
      0.506088301027569,
      0.536918521981362,
      0.512439902949419,
      0.539240001742076,
      0.440625320740041,
      0.448078503257394,
      0.213834698781001,
      0.553759319712896,
      0.696902521206851,
      0.476866686208698,
      0.46662112379904,
      0.252232552927245,
      0.597552591893527,
      0.459728063125114,
      0.526546309616701,
      0.422561323820919,
      0.375279439497832,
      0.113079273211601,
      0.482064005385017,
      0.623385972338487,
      0.561727572772684,
      0.439506960432946,
      0.237401188330772,
      0.628397337094445,
      0.479930936375369,
      0.595916544527462,
      0.451114670258967,
      0.509845534400034,
      0.568862352795633,
      0.500837595118929,
      0.585861445192311,
      0.484306569308746,
      0.40101483054239,
      0.13100671299334,
      0.60045662724387,
      0.58546933052047,
      0.460175023215064,
      0.540416519327938,
      0.312115730303089,
      0.489083973210044,
      0.447245208816844,
      0.5883909436088,
      0.491527094004855,
      0.38410182540809,
      0.559766295053766,
      0.583206824692266,
      0.6269645395407,
      0.588899936450207,
      0.547976697990171,
      0.368312546249345,
      0.521616350179791,
      0.41933566319247,
      0.528297317220954,
      0.451686118777951,
      0.402957605221995,
      0.175986856434796,
      0.55255104956801,
      0.588264534371607,
      0.438294770306018,
      0.404605166713238,
      0.271905143781069,
      0.596915016363653,
      0.437537382718394,
      0.51013387841013,
      0.582345417527927,
      0.44301287284212,
      0.54428457244736,
      0.528698449924196,
      0.605602310034547,
      0.565280465858892,
      0.579501054237734,
      0,
      0.632626808533431,
      0.419428152442847,
      0.53047152957731,
      0.560250299655145,
      0.477991641574926,
      0.456344425843466,
      0.514127920513689,
      0.553873915562253,
      0.462823718148765,
      0.421707679858688,
      0.557624694863463,
      0.488258747413927,
      0.521804130697659,
      0.559117190120652,
      0.606468792699145,
      0.343021528539482,
      0.368468728187584,
      0.453641136510936,
      0.601616213961727,
      0.460350963343701,
      0.417886041433858,
      0.322264416026845,
      0.577550236533389,
      0.6468543053732,
      0.494558737146792,
      0.51277463589578,
      0.386537321473138,
      0.47760573863756,
      0.553681082166195,
      0.46749895907732,
      0.414772313329095,
      0.374057882911706,
      0.134471210891847,
      0.491534385181405,
      0.690964342981664,
      0.441375928866585,
      0.440178777316429,
      0.33803122223586,
      0.622721487411619,
      0.458965920198481,
      0.51043692082316,
      0.415369902207102,
      0.536923046355327,
      0.21299874520703,
      0.498298803930825,
      0.589686491773568,
      0.460942508100463,
      0.33590207491112,
      0.41456302444959,
      0.618637145577766,
      0.576835494823048,
      0.47785724637271,
      0.532019570801697,
      0.341109508612413,
      0.422145777132301,
      0.465924618620407,
      0.585720938740178,
      0.45956676613622,
      0.432980103496402,
      0.258471467299217,
      0.580228224945399,
      0.638861853196101,
      0.480108316432506,
      0.421223131033913,
      0.479389634865468,
      0.46501370241934,
      0.479370733616953,
      0.541221206432604,
      0.447523571967152,
      0.395119467795809,
      0.147558469808323,
      0.586220599970766,
      0.558622471131152,
      0.484034440218964,
      0.493611155570485,
      0.328634615487556,
      0.531001939984121,
      0.534547866194816,
      0.49953567857034,
      0.647334265628924,
      0.562493893253917,
      0.299010907740473,
      0.521012430895465,
      0.601187719872423,
      0.452926539254565,
      0.322626181468086,
      0.1652391458878,
      0.635336717658556,
      0.465268352174205,
      0.4952487701055,
      0.443270431949684,
      0.404120694305705,
      0.560266247331559,
      0.576748450979597,
      0.426640267588081,
      0.586137630001568,
      0.487671197497583,
      0.40045652188375,
      0.576690629689296,
      0.523695491129146,
      0.724913086959974,
      0.661182969905236,
      0.459224604592073,
      0.505138634825854,
      0.513784571121477,
      0.541386511299111,
      0.479981281561056,
      0.426216206786307,
      0.34798557080282,
      0.579783809036525,
      0.518965965959034,
      0.476908894708089,
      0.490489835980262,
      0.269232240716739,
      0.58074293074213,
      0.470198720375584,
      0.54245644229513,
      0.416205748142879,
      0.392732293624052,
      0.512592208119938,
      0.48911961933955,
      0.630641981984703,
      0.4258738354158,
      0.417818091218822,
      0.339642026014594,
      0.621640877346641,
      0.445095551202919,
      0.560422317704707,
      0.509647566487588,
      0.514116939672283,
      0.610540031347796,
      0.51484576930451,
      0.599586602396411,
      0.502920605407681,
      0.391783253737198,
      0.199775146682566,
      0.613696246727992,
      0.528804509613357,
      0.497913861197582,
      0.450631348506864,
      0.347822499385706,
      0.513461903673338,
      0.468188588505151,
      0.600187464759592,
      0.55341603088547,
      0.497575959436335,
      0.501641367528088,
      0.602720588324511,
      0.590921050728902,
      0.617596777111446,
      0.469489035957505,
      0.401569568185825,
      0.487746594369776,
      0.211437386073795,
      0.559127556055346,
      0.4326582359025,
      0.405533874886514,
      0.170978763600876,
      0.567922442190169,
      0.517403323380237,
      0.418742084957311,
      0.459523346239044,
      0.290514868665847,
      0.675978527648949,
      0.446052502410099,
      0.511296749201612,
      0.593748030282343,
      0.50155547257509,
      0.339785393054891,
      0.620998741509256,
      0.625602916611036,
      0.60199191301,
      0.568307925415946,
      0.525485380337486,
      0.564950088700862,
      0.407562212126481,
      0.521883665573649,
      0.592123562452311,
      0.528012434281614,
      0.575779017604348,
      0.534676922691844,
      0.650089159611205,
      0.445438462275322,
      0.435572441242819,
      0.326761103088846,
      0.525323991229991,
      0.450821401937161,
      0.561715305077041,
      0.617318408847269,
      0.371246027632063,
      0.30982275937401,
      0.486579705529525,
      0.558071150046335,
      0.475515372554545,
      0.448523267119476,
      0.276506443762871,
      0.599913009046504,
      0.456236579080528,
      0.465786422474524,
      0.54635943287979,
      0.407631169511052,
      0.504271919884201,
      0.480119176378637,
      0.445033477315763,
      0.399747917057131,
      0.413998084681338,
      0.158008629258535,
      0.500383008903765,
      0.630287580925351,
      0.461663368340509,
      0.398757727428583,
      0.344483052275304,
      0.622737403343436,
      0.523822348164371,
      0.505885444873455,
      0.440198046516498,
      0.495316183064845,
      0.253430973619473,
      0.519838058461799,
      0.620251250259908,
      0.453477829900376,
      0.488045412395817,
      0.339969907881425,
      0.615026269018464,
      0.50056987995682,
      0.500150095393921,
      0.420549134918737,
      0.3336478086006,
      0.290931751982409,
      0.455104757587589,
      0.613036381110216,
      0.484993665776759,
      0.435331011062098,
      0.263286794448442,
      0.618835239265159,
      0.557268473823922,
      0.473182204100789,
      0.503727386723108,
      0.517309394568079,
      0.500805715554185,
      0.473893075663541,
      0.306780218474794,
      0.408956929508464,
      0.507825363190908,
      0.501419931559004,
      0.478374326109249,
      0.509320904442399,
      0.512490186321033,
      0.521145200777466,
      0.396506910227292,
      0.490389863441859,
      0.55792324279986,
      0.646127934823913,
      0.635708984969615,
      0.557144696249561,
      0.383241880663312,
      0.508283006060005,
      0.44394477877635,
      0.339259868218924,
      0.308981153064426,
      0.166840357502384,
      0.370407480963162,
      0.233662679426397,
      0.516093248085681,
      0.502082322549868,
      0.469559490597881,
      0.550487331040747,
      0.631896135966475,
      0.487314326728732,
      0.554173260457678,
      0.556173861703498,
      0.433953410558645,
      0.563306967963317,
      0.532817373624686,
      0.723527587334133,
      0.648255695498864,
      0.528035785077023,
      0.338875185358726,
      0.48364138475516,
      0.572721372389687,
      0.495925112696638,
      0.416787810381828,
      0.608207231308132,
      0.310120297015465,
      0.414748143738229,
      0.482054379853132,
      0.549802273733829,
      0.362256690815991,
      0.515599459536556,
      0.488689519682852,
      0.481088069310694,
      0.418565333759594,
      0.560429062085365,
      0.317868077394623,
      0.524483327381911,
      0.635798593052973,
      0.449181124876222,
      0.388775778456329,
      0.363121051406252,
      0.606873022041177,
      0.482016715213178,
      0.521242769211349,
      0.519197044468837,
      0.262375317509821,
      0.190582647645494,
      0.527435467843619,
      0.606530732939038,
      0.498069223123282,
      0.436203265739568,
      0.105601809979214,
      0.693293865668434,
      0.461298281596074,
      0.474061553831383,
      0.425225938427983,
      0.497631925285337,
      0.184975876228896,
      0.47494890786902,
      0.638056378307788,
      0.453798425545124,
      0.426913022469701,
      0.27976414193602,
      0.621519800293473,
      0.483821334960395,
      0.478717822314046,
      0.432059130492888,
      0.38496948793462,
      0.35515715640445,
      0.459593283792932,
      0.575415499897767,
      0.52280046911959,
      0.607960104487755,
      0.467292185696617,
      0.581317447449348,
      0.620254172584478,
      0.632891235801075,
      0.501453280580903,
      0.349213875493547,
      0.546206054223455,
      0.441456494140053,
      0.61371543844209,
      0.58855453703881,
      0.585462743492084,
      0.446879206705781,
      0.553279214295513,
      0.635355504935338,
      0.465708031270013,
      0.339314736455621,
      0,
      0.195782593510612,
      0.335637016686808,
      0.198622877513676,
      0.32630817477674,
      0.258474796577725,
      0.459159652278251,
      0.506918403729888,
      0.503483933479751,
      0.222116848477826,
      0.335776932258102,
      0.24502788215236,
      0.166447551741902,
      0.291077515159897,
      0.063321780692829,
      0.317924466061617,
      0.153766098859092,
      0.151600032425188,
      0.148773377617467,
      0.155193666348712,
      0.166416906170139,
      0.290520802221887,
      0.19302173783545,
      0.194739102359366,
      0.0843352031954361,
      0.458781306563515,
      0.342759966015852,
      0.427128681845418,
      0.47314089366146,
      0.507458401215974,
      0.235712764635196,
      0.261419919187333,
      0.282024071696654,
      0.199774581619537,
      0.124327565223726,
      0.211695242757017,
      0.142868980615811,
      0.0466589499737834,
      0.105839410274505,
      0.272360766574655,
      0.371321890582187,
      0.261111507584847,
      0.109028184494799,
      0.295328834052666,
      0.136486711903789,
      0.219532663693247,
      0.462650869419844,
      0.358433391489079,
      0.341133775421943,
      0.114907098345954,
      0.594953600110656,
      0.446000000587666,
      0.394468099434726,
      0.433949226205734,
      0.20537991203155,
      0.481689097754779,
      0.354718987778666,
      0.352672428824123,
      0.545067184560302,
      0.499810341946369,
      0.30652140085712,
      0.427161145436704,
      0.526001440960579,
      0.462617757301802,
      0.255822555279331,
      0.194444118772452,
      0.558187861639065,
      0.397220075694149,
      0.424581909478832,
      0.389973554915176,
      0.401402147367976,
      0.44553908113039,
      0.466978480475095,
      0.531725903895208,
      0.533536529566074,
      0.440025691589132,
      0.333182530736092,
      0.480526574634386,
      0.566441159492389,
      0.6440769452355,
      0.576396989557249,
      0.529031329718202,
      0.476282290013008,
      0.448112578842054,
      0.477747566608743,
      0.375989787462503,
      0.354623611272799,
      0.162417110331472,
      0.491512957886427,
      0.577390178245465,
      0.412818163657877,
      0.367868298212612,
      0.263287982916278,
      0.497229546287453,
      0.426404569450569,
      0.477585980137226,
      0.294925112745613,
      0.33439224573425,
      0.0280717676069551,
      0.380798053662617,
      0.562045477548293,
      0.462056567847005,
      0.432565019305923,
      0.394898992938048,
      0.575165931869793,
      0.418848420487162,
      0.416141147506927,
      0.483154989625767,
      0.550319385101791,
      0.268234280723195,
      0.419611704741012,
      0.510648943332597,
      0.439263283351687,
      0.379643229841658,
      0.107327985546084,
      0.528741084981601,
      0.436293864484156,
      0.47352962549832,
      0.5454242190178,
      0.228668358884833,
      0.45428388438389,
      0.347759430794445,
      0.478942108208905,
      0.461443447681127,
      0.428577502735299,
      0.55113944035541,
      0.517709920030463,
      0.566993967355112,
      0.476425655540314,
      0.522987039837359,
      0.440968609603367,
      0.541168991898089,
      0.365217531095253,
      0.471136258762397,
      0.380960930186298,
      0.338352932218343,
      0.168862043812631,
      0.483981196207137,
      0.474398156430103,
      0.349410714866543,
      0.292250639860409,
      0.206903685291464,
      0.466999617307325,
      0.489060115039661,
      0.410644644528827,
      0.577698010795951,
      0.48967468787231,
      0.33888883171629,
      0.462206099532813,
      0.540405701006268,
      0.548297359745653,
      0.428488250294207,
      0,
      0.565191724197724,
      0.360793742621295,
      0.406931574298566,
      0.408864859165632,
      0.347865383191593,
      0.369145179909761,
      0.44237459471865,
      0.581021250999459,
      0.505581950358046,
      0.576801288894324,
      0.550639897064878,
      0.430606000696709,
      0.549668991798654,
      0.386351871970663,
      0.566385491703404,
      0.262089651515652,
      0.486658531789501,
      0.437836720978922,
      0.533134110837756,
      0.377371922230643,
      0.520127075617944,
      0.318088404093277,
      0.515501715850728,
      0.53586242888205,
      0.414490122484792,
      0.387509681547836,
      0.296516889546604,
      0.46289065743224,
      0.550324040330545,
      0.454626456317643,
      0.303276704066112,
      0.340348191115834,
      0.0847828730316514,
      0.387482562035825,
      0.574067082518427,
      0.416826840492048,
      0.346883163233264,
      0.237565546480861,
      0.570663957065442,
      0.363303356544629,
      0.42127751069843,
      0.338654203183183,
      0.30721405751722,
      0.145287686920996,
      0.414200586303561,
      0.519560650615971,
      0.474542190523243,
      0.31836188361743,
      0.437622073464731,
      0.537430630147209,
      0.623835491251532,
      0.532704410753709,
      0.550397198287044,
      0.330059042727616,
      0.376108655980023,
      0.3646993727366,
      0.521551276564434,
      0.37876168014145,
      0.347570862978142,
      0.163040408448484,
      0.530032812057366,
      0.554505808928098,
      0.400720144974764,
      0.344846596889075,
      0.434160438849097,
      0.514751060195745,
      0.381919905479787,
      0.475974924162532,
      0.360922767319062,
      0.349800818053125,
      0.0959461836582626,
      0.646439619777097,
      0.483414227437224,
      0.328228404843139,
      0.427308701258645,
      0.164007827981394,
      0.485223584259384,
      0.336921805025559,
      0.396285981305866,
      0.561417173788218,
      0.424204989554116,
      0.239713325068218,
      0.453790820591135,
      0.5388042876239,
      0.463871389777356,
      0.292600272061429,
      0.143760221654176,
      0.572887250811512,
      0.354201120155769,
      0.451784742416169,
      0.392269466874454,
      0.44368999467171,
      0.279433212194942,
      0.471697461333217,
      0.444482144912649,
      0.544028737977304,
      0.346226305640998,
      0.332366984193231,
      0.448015625117342,
      0.559621150524056,
      0.644186091506969,
      0.578845904151337,
      0.538997168170388,
      0.50723801497922,
      0.42866229888924,
      0.485602234784538,
      0.394441746035641,
      0.332381658058966,
      0.443257133446541,
      0.518709689789014,
      0.473498607779006,
      0.434075916898993,
      0.422599626600777,
      0.253454732369559,
      0.482876558082861,
      0.419885121694303,
      0.484803511953799,
      0.311194037755074,
      0.279228670900772,
      0.14364503751859,
      0.36780398595627,
      0.563155330199557,
      0.402688573103795,
      0.352839344663776,
      0.343194319827687,
      0.562717333506065,
      0.51040428202248,
      0.429634849949608,
      0.500860989803028,
      0.535647101013848,
      0.280686416535899,
      0.434620247850332,
      0.523976565182821,
      0.489741833437959,
      0.343803536542861,
      0.150317610950002,
      0.541969567569424,
      0.51035671174984,
      0.527477716039898,
      0.490514444670076,
      0.283664757682139,
      0.146010488104036,
      0.361427073515005,
      0.543851804326903,
      0.452709728456818,
      0.425187706095522,
      0.397311004687771,
      0.537389700056246,
      0.481869901030287,
      0.486370995861393,
      0.424588205657182,
      0.561756343449511,
      0.491473487788527,
      0.250883166266591,
      0.49033271309638,
      0.407985587488263,
      0.356388377808489,
      0.178029508153991,
      0.499345481297466,
      0.415812111744135,
      0.354190984788813,
      0.339354537997982,
      0.209166966638921,
      0.555839972924629,
      0.455127632498446,
      0.432541279863474,
      0.527136561573571,
      0.465887640492653,
      0.279107567895164,
      0.574116712361231,
      0.58279609382358,
      0.54049547825406,
      0.554073650647434,
      0.429274522417426,
      0.521312778330754,
      0.34657537134942,
      0.482904429759781,
      0.420879580838004,
      0.416310421701048,
      0.424680123522572,
      0.453066901610341,
      0.621218112993813,
      0.517974862908284,
      0.557514145765618,
      0.342690156313952,
      0.451691354460331,
      0.485001437647881,
      0.476282487681497,
      0.562964281475329,
      0.277229482797849,
      0.480256319366892,
      0.459314763673719,
      0.521062591529783,
      0.390577885657519,
      0.537497477537651,
      0.234605328862167,
      0.530168195148408,
      0.419322570726281,
      0.442229785082439,
      0.401206956242824,
      0.255436989351948,
      0.513746054132976,
      0.471175738799494,
      0.409661485904859,
      0.313832132059605,
      0.309724698987312,
      0.109428534326283,
      0.363791714083424,
      0.58265856001764,
      0.372095019404728,
      0.325257554857377,
      0.227243676743462,
      0.561160197430253,
      0.388357743555617,
      0.428246179131203,
      0.355133536115472,
      0.265884095349615,
      0.136189236531552,
      0.445580459803174,
      0.520662852581851,
      0.473654203419104,
      0.409611894290733,
      0.489823299182846,
      0.578689896563484,
      0.485701404542709,
      0.486719123855982,
      0.318270235144949,
      0.308864520505046,
      0.353311542030117,
      0.398912229282863,
      0.533269482261558,
      0.472715470204084,
      0.327578560210005,
      0.200158978132533,
      0.546600355510174,
      0.46695155481356,
      0.390167942501393,
      0.407551496008882,
      0.330549423712291,
      0.480109009719885,
      0.362723772516042,
      0.308960445316213,
      0.365887982004575,
      0.283860470177649,
      0.280857245876728,
      0.581881891077134,
      0.480403073797012,
      0.519574725455137,
      0.453858182205289,
      0.377432317493426,
      0.445200906995093,
      0.521151233675129,
      0.579884797378244,
      0.558821488750213,
      0.557337433939424,
      0.342412769903994,
      0.431428710654375,
      0.352300999801808,
      0.354459882896673,
      0.344197443663016,
      0.130501320246793,
      0.355294811487881,
      0.153513097889057,
      0.448215505618739,
      0.393695611651652,
      0.343640271893092,
      0.183476618492761,
      0.473801587443219,
      0.558735648144009,
      0.54464700738232,
      0.399214319064795,
      0.368613328962905,
      0.466002003966281,
      0.526928484177654,
      0.642128386649277,
      0.550341684444225,
      0.547904918176902,
      0.350051498662715,
      0.426327516339954,
      0.509003304764211,
      0.395584571213762,
      0.337244999779894,
      0.601537587703401,
      0.364826388860049,
      0.382663857448376,
      0.43934248249486,
      0.462756055377524,
      0.255548328654812,
      0.571291114340686,
      0.475143925044264,
      0.425629590237457,
      0.352724172289982,
      0.493371714839352,
      0.20998471929898,
      0.392717159876747,
      0.588784373380385,
      0.380470172414708,
      0.486929372252469,
      0.303397186728781,
      0.57049914545723,
      0.492199794022033,
      0.444427311684978,
      0.494966446243729,
      0.226337344165293,
      0.220121504353034,
      0.465550545938362,
      0.542815908999677,
      0.499893362258024,
      0.325214523149128,
      0.140048847994296,
      0.597891041380376,
      0.400520156701999,
      0.341322670923134,
      0.303861802294842,
      0.286571012370564,
      0.228746662857358,
      0.374972828296486,
      0.563255201777454,
      0.487725951985754,
      0.419462889930134,
      0.222173099313549,
      0.560243093934626,
      0.473411004044632,
      0.394901994929763,
      0.350163692081421,
      0.437299366137611,
      0.583751545481082,
      0.394551033863411,
      0.520715454958635,
      0.418468092167003,
      0.393539052782473,
      0.205849664093797,
      0.50997133092576,
      0.50693938254642,
      0.394335387508082,
      0.338572832120022,
      0.645754237583749,
      0.452947590455735,
      0.384879464340049,
      0.558872765844839,
      0.525473740156841,
      0.546508471502299,
      0.445144726038976,
      0.493223221959764,
      0.584658023611322,
      0.376401121232224,
      0.251558610858948,
      0,
      0.167741605529501,
      0.299058135887219,
      0.234593886553833,
      0.240159086784528,
      0.145746762148374,
      0.53689147263267,
      0.423127178419166,
      0.476019063163725,
      0.393146046619921,
      0.527779539706986,
      0.218749847720966,
      0.219148462818103,
      0.150202905716801,
      0.0845555523994108,
      0.2303912687481,
      0.127319546425755,
      0.232632548879079,
      0.17937556673841,
      0.227439308159809,
      0.112409136940478,
      0.205743779867079,
      0.234907868121469,
      0.18506768713334,
      0.0736864119641608,
      0.496337160802925,
      0.181842099058316,
      0.627414518760967,
      0.546890913576899,
      0.652345334371458,
      0.368677467095741,
      0.490695841534824,
      0.431206373625645,
      0.227241006651063,
      0.103646085000406,
      0.16832755378075,
      0.200776331594827,
      0.0568629773678919,
      0.0937297619794838,
      0.415209091044341,
      0.246821762705368,
      0.183291679233947,
      0.081460654620732,
      0.283656533020842,
      0.204906154107207,
      0.202136781293085,
      0.606840858208361,
      0.516373165107467,
      0.470260253258477,
      0.151240161243337,
      0.770096238165166,
      0.592543342980979,
      0.462333556683762,
      0.57270342086864,
      0.309935358156834,
      0.637802220448457,
      0.450298408328886,
      0.244437883887969,
      0.299736040361269,
      0.184329099276842,
      0.0991538220473763,
      0.161158544156958,
      0.204337386039572,
      0.485966603178646,
      0.240227882140226,
      0.223971180368709,
      0.380163563762035,
      0.357687944021578,
      0.571392872006,
      0.53188587082732,
      0.470677448454115,
      0.409002330121199,
      0.705744442655465,
      0.653248361731924,
      0.560035320623431,
      0.538922493100982,
      0.459157609343035,
      0.617426570559473,
      0.530034103839732,
      0.454108927717719,
      0.548552719704611,
      0.617346805377869,
      0.510029179579615,
      0.511938362446278,
      0.28135691203397,
      0.288048278208135,
      0.294818509121492,
      0.196917148154197,
      0.232361115738382,
      0.561736347383251,
      0.55337221191029,
      0.490858253910832,
      0.350598805309408,
      0.432595057360707,
      0.559059472163565,
      0.542697273027237,
      0.439260536248152,
      0.441606986548065,
      0.167942252477089,
      0.521194497797569,
      0.425589924457398,
      0.430860459205647,
      0.621212619885482,
      0.561266832678319,
      0.390252872427677,
      0.531393874834703,
      0.337684477404456,
      0.548915947190878,
      0.561075012475226,
      0.183059731255505,
      0.0666714665396279,
      0.661766774041219,
      0.529097887517624,
      0.46567442275889,
      0.15755011077906,
      0.672906923904013,
      0.554739556478709,
      0.552443122365592,
      0.592426280559109,
      0.364324309338156,
      0.402017518317121,
      0.488205858497238,
      0.379797253715208,
      0.525327248078045,
      0.550299768987168,
      0.502549322732097,
      0.162359570038421,
      0.393345500989184,
      0.416971952839833,
      0.544593402135871,
      0.646846564796223,
      0.461202632282359,
      0.347317948456718,
      0.6157899163429,
      0.524446749936565,
      0.472147078409124,
      0.131429911981526,
      0.630471328918237,
      0.597509537192132,
      0.469266839927716,
      0.430406885146598,
      0.330704946665534,
      0.622801951399102,
      0.589614385560175,
      0.303623728679657,
      0.466919450514047,
      0.505871968634512,
      0.475952391458743,
      0.288416624241983,
      0.444595119574914,
      0.450644969281699,
      0.553453713030967,
      0.0060545640384009,
      0.341581773920219,
      0.294583389002581,
      0.531699163532901,
      0.543871407693797,
      0.516257517268953,
      0.389244698911644,
      0.579565967816153,
      0.638703316717686,
      0.624406417548236,
      0.687672442918178,
      0.553643547494857,
      0.595593479794128,
      0.59038838603981,
      0.406502703745496,
      0.524630553540911,
      0.154759357570192,
      0.592186135237323,
      0.57486347626882,
      0.531207001956169,
      0.446337258454688,
      0.615616163951609,
      0.382786483903516,
      0.300177015945915,
      0.426358017116641,
      0.55013386639716,
      0.513537947545054,
      0.374166299139576,
      0.423320009170803,
      0.5954989536302,
      0.561125524843319,
      0.437812646819655,
      0.493162290071976,
      0.123988210134367,
      0.524011255598139,
      0.377282658597407,
      0.405867727372583,
      0.130430003774782,
      0.252930480032281,
      0.364985671409605,
      0.25666273090646,
      0.236871984923377,
      0.066638486560022,
      0.200899836856807,
      0.18095580701485,
      0.168991250500789,
      0.668647538390345,
      0.561461371908424,
      0.452983979781924,
      0.62623741334577,
      0.693696124963567,
      0.607258403812103,
      0.60727890078375,
      0.573605308440974,
      0.504884098726389,
      0.355086616618092,
      0.485198954006688,
      0.351856051734084,
      0.28266350318529,
      0.202985406512828,
      0.0391796919080161,
      0.478404832570676,
      0.443662143437787,
      0.182741578608155,
      0.235158585955947,
      0.43414931683877,
      0.467053959355174,
      0.32058899097146,
      0.621581776066914,
      0.510521145296202,
      0.482828897002639,
      0.209167732547483,
      0.798953508906394,
      0.580673215649302,
      0.475175871048253,
      0.602794896959684,
      0.318170679499612,
      0.623166296934691,
      0.456031758165444,
      0.170747303957691,
      0.296576586684158,
      0.221030203031201,
      0.0894078576770395,
      0.181168286916182,
      0.276549916417631,
      0.437295489224131,
      0.214078847578551,
      0.197927853192836,
      0.371438674764474,
      0.277135726619041,
      0.589381489505372,
      0.541860619466453,
      0.465508062902205,
      0.205631546797018,
      0.609614789150409,
      0.577616387220016,
      0.567178623838024,
      0.60712906723747,
      0.498485914933269,
      0.617287153438663,
      0.658432468303633,
      0.448450336258699,
      0.326608283685882,
      0.676725123007865,
      0.532537469968692,
      0.582505314943125,
      0.22946827612116,
      0.28571294681026,
      0.122445155837079,
      0.543124284382636,
      0.25263025116309,
      0.413908975799945,
      0.56431222436409,
      0.501522673607739,
      0.395774405106368,
      0.469353448576319,
      0.564006980421473,
      0.569661898709126,
      0.461895554524102,
      0.412620806011322,
      0.16055025637464,
      0.530486019277233,
      0.38530342363079,
      0.31748516399863,
      0.473991835954483,
      0.546871850886272,
      0.422786354497303,
      0.612234366908835,
      0.368203230104577,
      0.580431133589794,
      0.486040464713388,
      0.260224833803078,
      0.114997456856033,
      0.671922498873061,
      0.53602259648707,
      0.485675336907159,
      0.18260058035826,
      0.692227728566789,
      0.599931866537507,
      0.578721688683016,
      0.533290530046101,
      0.363848949534407,
      0.0628849151509349,
      0.503959463902699,
      0.596476945850068,
      0.446691255409069,
      0.521388978288267,
      0.379422178146378,
      0.241478851939512,
      0.418670741455265,
      0.383491387907791,
      0.431962925816748,
      0.606136422311456,
      0.453149980435764,
      0.154774874257007,
      0.634592993046162,
      0.528499800883757,
      0.489915205588132,
      0.141204309590392,
      0.649569421871693,
      0.586938424048189,
      0.470278420054451,
      0.471404567904936,
      0.316678391635635,
      0.622258354606215,
      0.583414497194209,
      0.313777023133816,
      0.414660534485212,
      0.433349492073753,
      0.446536762907001,
      0.275807647624317,
      0.50315200090676,
      0.454223002981701,
      0.492044840854862,
      0.220107664163962,
      0.3792302075899,
      0.269081986864632,
      0.577282547647287,
      0.549914534261272,
      0.56041671072057,
      0.295547176795353,
      0.594672024195922,
      0.644546218404851,
      0.486064914516487,
      0.660075186360987,
      0.575470774735555,
      0.61860007949028,
      0.536865284967737,
      0.419220109201992,
      0.249154869699172,
      0.19251580765805,
      0.597669598956647,
      0.582113498183454,
      0.593379199572216,
      0.469877124350849,
      0.624905815219368,
      0.374148657904786,
      0.305021296833166,
      0.371007185461018,
      0.553134391891707,
      0.512495197541794,
      0.379496324080316,
      0.488554145769352,
      0.599860918296957,
      0.557171538099354,
      0.397712712224972,
      0.499129928637611,
      0.187200611309662,
      0.539540369109553,
      0.439270484246659,
      0.293947575737683,
      0.237642149680954,
      0.286369681516393,
      0.379862510251116,
      0.284885531233985,
      0.174976979009826,
      0.300083493874786,
      0.200395368190376,
      0.208593593736475,
      0.234469497536397,
      0.675172353773997,
      0.561350659995354,
      0.485374633977456,
      0.625909857991706,
      0.701002816015902,
      0.616008140736899,
      0.505200071861418,
      0.497787836970214,
      0.47611600748023,
      0.386529074172993,
      0.514214388421151,
      0.392509171233328,
      0.368622379894151,
      0.18712087497177,
      0.146803384502229,
      0.385120095587964,
      0.371159404291274,
      0.176245813321129,
      0.351279691921208,
      0.283791479986143,
      0.423336456398225,
      0.294844425668478,
      0.307853884292104,
      0.335063127035333,
      0.262682574569207,
      0.199151161906529,
      0.699961833301543,
      0.44949639195569,
      0.666011577767001,
      0.620077178229088,
      0.356465965419432,
      0.422077037053515,
      0.664171154315841,
      0.228890235164118,
      0.345508832473699,
      0.662703916738385,
      0.446316071455665,
      0.598576575047555,
      0.333708844299048,
      0.411837880557681,
      0.364651228611052,
      0.18972478529796,
      0.343172117660803,
      0.240416242157691,
      0.592216397500027,
      0.5223402764812,
      0.386927792593087,
      0.169342680435701,
      0.607355548468571,
      0.597304176502321,
      0.62001296129656,
      0.608681737744239,
      0.474742410319198,
      0.63252702522362,
      0.672334695222972,
      0.408008843857646,
      0.363552040362538,
      0.685810074633922,
      0.460949632433866,
      0.567903494632087,
      0.223424454315997,
      0.359059474085024,
      0.188686064143866,
      0.62333010584187,
      0.287940120058401,
      0.325963654250387,
      0.51839245955726,
      0.528716861032651,
      0.386877414562623,
      0.553248800383718,
      0.605740705365036,
      0.564045652563404,
      0.472698219479791,
      0.446474562586959,
      0.172014956183282,
      0.561492078735594,
      0.463984264648714,
      0.283320178498542,
      0.53750432820827,
      0.234044434316228,
      0.45025337004133,
      0.540320915173274,
      0.464965154465229,
      0.489918438291386,
      0.331955344049255,
      0.180136073048264,
      0.502980318721867,
      0.692602454113392,
      0.55740866386955,
      0.462983435287225,
      0.181807919727863,
      0.64105091270051,
      0.544083734264378,
      0.478620823576433,
      0.447667123728145,
      0.39825736358155,
      0.314156771791441,
      0.511221879155328,
      0.420317751351498,
      0.432182875236998,
      0.500831897217728,
      0.282878190092973,
      0.256916296741507,
      0.455742901576493,
      0.226989931338725,
      0.00221690366315961,
      0.4982112780318,
      0.573391678812613,
      0.512015525256793,
      0.655627783494213,
      0.512677789958465,
      0.542609547584214,
      0.241273191442823,
      0.659890080776211,
      0.572733493422335,
      0.480815602554444,
      0.403470771327375,
      0.658496164536685,
      0.400180676275713,
      0.570906212349571,
      0.515851541359144,
      0.519080545589945,
      0.260455865764117,
      0.232992129016302,
      0.152607319982019,
      0.391887075623287,
      0.201736533397461,
      0.154437610921526,
      0,
      0.190861388361407,
      0.339293277115687,
      0.281931372086563,
      0.295631221500152,
      0.262080301904725,
      0.463857322406471,
      0.308717806998583,
      0.278285560419276,
      0.349840458710268,
      0.515371483603101,
      0.261735322683616,
      0.204149486452512,
      0.190113631487371,
      0.117059665670896,
      0.276923260648715,
      0.194157669851269,
      0.227416767430187,
      0.126748048984741,
      0.241816624913702,
      0.0643889126338221,
      0.210930794287832,
      0.247879314186205,
      0.176877677988013,
      0.13101107069259,
      0.486649188584213,
      0.408676697968438,
      0.586263548551047,
      0.477591866942202,
      0.701005319892581,
      0.348635846647621,
      0.470141297542692,
      0.447268358173432,
      0.248668044574382,
      0.128825577679856,
      0.112199886519339,
      0.153644656980736,
      0.0604801207029905,
      0.0216714375176811,
      0.345102426973269,
      0.234102960153126,
      0.25817350394082,
      0.0572567766995462,
      0.208062977174843,
      0.200677855757991,
      0.214764771198508,
      0.506959426737944,
      0.430212379129039,
      0.369753682224073,
      0.236433901527743,
      0.728563209326376,
      0.52308072827744,
      0.396498920892084,
      0.53065332408318,
      0.217365198026707,
      0.577477129275004,
      0.351236953531965,
      0.229410236830713,
      0.225726166488491,
      0.15816609399591,
      0.156422774581152,
      0.266215871904936,
      0.213103026999786,
      0.495995053911287,
      0.238056189431892,
      0.207967509758984,
      0.352155816394724,
      0.346146294639735,
      0.481590364967552,
      0.432790122939948,
      0.427964264898735,
      0.322678776845562,
      0.701819956313273,
      0.556976616686488,
      0.568606705137266,
      0.563174630880369,
      0.445167455376773,
      0.539409379845615,
      0.47214821168165,
      0.362709664053425,
      0.508877197337658,
      0.601831914446104,
      0.568070082539706,
      0.551804223171158,
      0.299722349894724,
      0.324800895966091,
      0.306343973749841,
      0.352491207950367,
      0.249060348166052,
      0.552264736344762,
      0.448593667730452,
      0.379968515188932,
      0.25447008369908,
      0.487808285726169,
      0.457299254706139,
      0.44476124152995,
      0.3399268526451,
      0.331029920378616,
      0.145842034146068,
      0.420007570721048,
      0.484416984514289,
      0.489863786929747,
      0.578710993613202,
      0.574206403924533,
      0.450256838443445,
      0.542916853833038,
      0.529078087665389,
      0.534068149283751,
      0.373144863139287,
      0.342913152585232,
      0.110298288314508,
      0.568335562378286,
      0.457759649586957,
      0.355320966128624,
      0.149915821282135,
      0.580392124256927,
      0.460958794442204,
      0.474733648228064,
      0.552314750695427,
      0.26162908601967,
      0.258154692633078,
      0.382962349406798,
      0.487247749330161,
      0.569716910497275,
      0.460001943785044,
      0.351925188223379,
      0.230810938360115,
      0.321387413569167,
      0.432764799568112,
      0.540178849394184,
      0.613122714545871,
      0.417577261016621,
      0.439498893074308,
      0.51412432938934,
      0.436101469584108,
      0.373577601446444,
      0.083069426520822,
      0.53313582031572,
      0.530896066716939,
      0.396393819260429,
      0.331943008748624,
      0.2750720156132,
      0.603128656236609,
      0.465260059299888,
      0.210526991332168,
      0.37964912988752,
      0.391810968939276,
      0.402531349690442,
      0.357600211138693,
      0.540715831303673,
      0.453532745705609,
      0.574474760404561,
      0,
      0.362939349250746,
      0.252285661504165,
      0.433740516743377,
      0.447032017503067,
      0.47271349485015,
      0.339154106603335,
      0.493421348067615,
      0.527614218100322,
      0.551206337982132,
      0.559298918735886,
      0.505587378473801,
      0.519022485821828,
      0.608248483913322,
      0.55236967907697,
      0.4818657703183,
      0.222687295022284,
      0.505854877757836,
      0.513480231266102,
      0.437616619783056,
      0.480693901703416,
      0.533445106556398,
      0.47774085504408,
      0.266256049790574,
      0.424340595081507,
      0.465985591033269,
      0.42035734446163,
      0.265271473156869,
      0.515387828382639,
      0.492992542736528,
      0.463276004650632,
      0.372368984341003,
      0.477440987870553,
      0.0632956924287862,
      0.428733789060806,
      0.304686065492008,
      0.289433297752425,
      0.121470174542068,
      0.176358036382277,
      0.404669003524489,
      0.267176317352769,
      0.269693833243631,
      0.0574330376361033,
      0.12283183811228,
      0.261030197740359,
      0.21844878179035,
      0.578386148208775,
      0.509701128069395,
      0.472493360527142,
      0.572148563454048,
      0.617280633527374,
      0.559947241234569,
      0.570937014347495,
      0.50817264255063,
      0.472578106110926,
      0.345921578776213,
      0.379027747119715,
      0.268968740014274,
      0.277232063324002,
      0.196120334618903,
      0.0882213414381054,
      0.417713035689701,
      0.373636753593418,
      0.258994423648859,
      0.240369455185896,
      0.335449679449094,
      0.465410373719857,
      0.312463893107507,
      0.523325241281544,
      0.418245158620329,
      0.377213325999199,
      0.176529589802785,
      0.724825806489615,
      0.535888646192264,
      0.378534228128364,
      0.581230436148648,
      0.266214526594261,
      0.560654426420662,
      0.372940647236482,
      0.234568310893569,
      0.298163091176081,
      0.251365350422506,
      0.157824651480405,
      0.199177230768497,
      0.257053528791616,
      0.362204786157066,
      0.180746067078166,
      0.196629894023593,
      0.356319588321628,
      0.320923095118549,
      0.495068470264633,
      0.457740729811401,
      0.353685704263207,
      0.207294911589533,
      0.570665759580054,
      0.505838122823727,
      0.493251141083252,
      0.625216127083829,
      0.450352224388521,
      0.549413920662635,
      0.55669316171976,
      0.393611752901286,
      0.299746212624722,
      0.580236548965236,
      0.55017639100419,
      0.591790066767151,
      0.259328869448381,
      0.339703208080182,
      0.171439996323016,
      0.541336470500701,
      0.256281218320705,
      0.35100107663814,
      0.461701093172595,
      0.410065525052396,
      0.310933269406024,
      0.49518482302712,
      0.464186652891897,
      0.484375333049837,
      0.367155596106386,
      0.331917771175186,
      0.0742649429086827,
      0.448720644691487,
      0.333163239832023,
      0.314133845355917,
      0.452449028318614,
      0.554394970947391,
      0.475630402510253,
      0.575475213260268,
      0.424239642095916,
      0.530084549506066,
      0.468586457793133,
      0.299930169799316,
      0.145859295806436,
      0.58310578639865,
      0.457957479986941,
      0.385711451354117,
      0.092048584932217,
      0.64326442923451,
      0.563030346614596,
      0.534210385311083,
      0.464391714381453,
      0.280322126452836,
      0.0659019656760379,
      0.407615810280539,
      0.602480185690042,
      0.533169750391108,
      0.564400434061985,
      0.347671324761264,
      0.236854105601878,
      0.536273131022636,
      0.593206473452763,
      0.367143651659966,
      0.494965894121786,
      0.505741900421666,
      0.111966489753826,
      0.549809388333336,
      0.432620482389919,
      0.385354108223324,
      0.200032116952199,
      0.556692550063139,
      0.547480109261962,
      0.399454187107116,
      0.39262984393285,
      0.259191266879742,
      0.595975619225014,
      0.484048321695099,
      0.243354272118493,
      0.40575218204169,
      0.324540998390219,
      0.415248444877568,
      0.385312412263697,
      0.60108377140136,
      0.365345926150421,
      0.52111602857567,
      0.418447280911767,
      0.364697118655633,
      0.287926229176056,
      0.466935994559743,
      0.442658991912827,
      0.469901947549634,
      0.192531907929606,
      0.496547834750746,
      0.514050381646702,
      0.417792224236704,
      0.534086005847224,
      0.590625664640193,
      0.544306202482214,
      0.469501780826997,
      0.54915706769132,
      0.337957092575306,
      0.324487775580271,
      0.494605133818587,
      0.493074857295632,
      0.480142618755813,
      0.503584785775526,
      0.530701755260087,
      0.433007685443066,
      0.370614117483578,
      0.398133538668882,
      0.457009077945212,
      0.418432047693613,
      0.354465633703517,
      0.527399314866786,
      0.496560757020373,
      0.477869820162153,
      0.389149229329907,
      0.487157103407404,
      0.105685091171269,
      0.471183079392434,
      0.381851136277351,
      0.187201212390106,
      0.223494198354565,
      0.20432459484343,
      0.407676146758465,
      0.26065076042881,
      0.214347062114928,
      0.267605586943944,
      0.208720940644716,
      0.178718625763405,
      0.268941335980041,
      0.588485293585797,
      0.472972625885281,
      0.424252420768823,
      0.521982773928882,
      0.674757946791362,
      0.548960706530267,
      0.461678437245968,
      0.457838603954488,
      0.428766387206193,
      0.391879056402016,
      0.407556745012939,
      0.317248860339638,
      0.381038091642172,
      0.200850443040661,
      0.114893958680367,
      0.380039911539021,
      0.386820419352014,
      0.164085711702984,
      0.312442457979495,
      0.233683300895635,
      0.357682313194536,
      0.244155073164723,
      0.348191072536412,
      0.378135489219083,
      0.251535068894446,
      0.236738216024905,
      0.641142427441865,
      0.447520760313296,
      0.568248317979177,
      0.5958670532452,
      0.367502891294537,
      0.414146143899011,
      0.563657123287854,
      0.277317628389166,
      0.322601522387384,
      0.565269016567494,
      0.370879659076612,
      0.593405804397718,
      0.299363107898479,
      0.365884144409569,
      0.358396468900083,
      0.141163182052506,
      0.292635924743633,
      0.386375468291008,
      0.494454332009686,
      0.407399977734944,
      0.345433911662999,
      0.272759707400679,
      0.566170581118127,
      0.407044776023721,
      0.5176343592214,
      0.604981623927205,
      0.382849140235521,
      0.567364764089433,
      0.578805497519977,
      0.353756046817485,
      0.342701691072926,
      0.597059704544118,
      0.414165102222298,
      0.595761017436273,
      0.262562784377565,
      0.462739020134473,
      0.159696416040762,
      0.544313052104357,
      0.305632997082948,
      0.345716805484109,
      0.440574420911928,
      0.467466971417245,
      0.284621315878396,
      0.468013614504743,
      0.495757967760414,
      0.472875461275906,
      0.380214337174608,
      0.348825979278664,
      0.16069178611584,
      0.488132305708997,
      0.430185374844587,
      0.283143607012018,
      0.556834979173207,
      0.100947100193874,
      0.428587323368069,
      0.308805579242113,
      0.47255056396191,
      0.467825201095357,
      0.295807133363283,
      0.106463055262628,
      0.457671123148192,
      0.651645110950349,
      0.455252554355343,
      0.360200855056391,
      0.184560521560461,
      0.631451530705748,
      0.439732299762642,
      0.378020597162161,
      0.3596841316656,
      0.295857820271464,
      0.343213722057988,
      0.413510230195549,
      0.351209856649909,
      0.450355620221669,
      0.361249106841433,
      0.289777113406995,
      0.291578995871986,
      0.425054439791754,
      0.24872784297777,
      0.0752240478034911,
      0.387548901406335,
      0.349125620282396,
      0.560741256979136,
      0.590654567570716,
      0.456657968882878,
      0.458933853457276,
      0.193182340827501,
      0.566156252329032,
      0.533617242696544,
      0.343618786626086,
      0.339196216643531,
      0.383141439798999,
      0.451833715250994,
      0.509477576317019,
      0.458507023986586,
      0.448118816554884,
      0.327291302004194,
      0.185468503835731,
      0.191055923618757,
      0.352289777750563,
      0.185230193747732,
      0.219294912206416,
      0,
      0.254225178002879,
      0.471324755324912,
      0.612146750427334,
      0.503763092470992,
      0.340481350504531,
      0.377027413784,
      0.427875866777487,
      0.477013632493957,
      0.273715962151539,
      0.281391624597861,
      0.318912530102649,
      0.315407186672872,
      0.178582976364995,
      0.167116296851036,
      0.287184151613975,
      0.196904773103955,
      0.187229438494958,
      0.24584644938312,
      0.245572038708219,
      0.104099779632788,
      0.149781426474101,
      0.21747661105111,
      0.22891960156653,
      0.149624416619175,
      0.498937230784739,
      0.586225291262015,
      0.239433379374567,
      0.204565171753551,
      0.626166120945664,
      0.306424909027096,
      0.301976849717129,
      0.386959939456123,
      0.265339403821371,
      0.150698249237799,
      0.174986537276769,
      0.196650143183121,
      0.0723765342819783,
      0,
      0.310732313739089,
      0.278437863895598,
      0.340397127269457,
      0.0720989347126499,
      0.145270061526996,
      0.147359283787979,
      0.19463185731597,
      0.3146002913832,
      0.288156170753419,
      0.209156834498386,
      0.237658556801416,
      0.311903039801131,
      0.356929602525709,
      0.357010657447518,
      0.249231686377917,
      0.149626005180158,
      0.451592180656557,
      0.296209890109202,
      0.564808556279589,
      0.521409014544436,
      0.43571180663884,
      0.348470705020691,
      0.391810920739145,
      0.458767976137094,
      0.536045665136048,
      0.25540408891177,
      0.259839487668439,
      0.492355993299431,
      0.332321610940196,
      0.644163297241275,
      0.401040651370269,
      0.336210855598242,
      0.46364181708302,
      0.565171572183234,
      0.356051314163082,
      0.566203116889535,
      0.621514546139744,
      0.402202687441096,
      0.65638012638002,
      0.563490878487476,
      0.575007344898032,
      0.560242868639442,
      0.67632921707222,
      0.612138859774547,
      0.414849488732766,
      0.526596982251606,
      0.56025971135614,
      0.350300306528893,
      0.629866965437397,
      0.433396984573692,
      0.513142929164995,
      0.270941677321284,
      0.286642494935386,
      0.214898603711876,
      0.474042558952996,
      0.368202557182228,
      0.392911779448357,
      0.119099793189823,
      0.271838266091289,
      0.0852651679971089,
      0.134613496194416,
      0.559125557207785,
      0.469073513982573,
      0.345954464207983,
      0.308886247950899,
      0.517087991922033,
      0.596424261779035,
      0.602981131645623,
      0.419876718459628,
      0.387964929347497,
      0.533979856745868,
      0.385550485373796,
      0.353862049598506,
      0.447101331769056,
      0.338425741564318,
      0.0797321949086308,
      0.364145554857869,
      0.424154593564339,
      0.408676871364868,
      0.449635053695518,
      0.0687112302890921,
      0.380286149866536,
      0.0369849430034809,
      0.541212263296909,
      0.484991089544846,
      0.275886416313575,
      0.457220809338422,
      0.458829702845896,
      0.553798830767444,
      0.543583625026878,
      0.514914001727521,
      0.328753614579492,
      0.48479576645094,
      0.676870602368513,
      0.299657005239033,
      0.346805566553799,
      0.199653811567956,
      0.155198911834342,
      0.31119747999783,
      0.43917720755779,
      0.268395358215069,
      0.291106241122367,
      0.215259816424352,
      0.61135612648129,
      0.242771168531434,
      0.451529690522147,
      0.525928087095686,
      0.360511566017139,
      0.293881884075901,
      0.624575965188723,
      0.525563522603579,
      0.587200911990683,
      0.356455021246466,
      0.00932370925138251,
      0.503241577317306,
      0.276029999877451,
      0.345280108692509,
      0.299582467517441,
      0.241714158198333,
      0.308418290648632,
      0.498924635722935,
      0.400061513785002,
      0.484617500725136,
      0.409932625735498,
      0.381588180325011,
      0.283969693679927,
      0.613413358537241,
      0.515014182680146,
      0.469434387581523,
      0.411066098168845,
      0.565951874941245,
      0.361220084731974,
      0.44314385045624,
      0.416106135940606,
      0.291217535731071,
      0.568596852527755,
      0.551563567186488,
      0.434476383746268,
      0.530368547234519,
      0.544107518631028,
      0.349175330401161,
      0.538745556381235,
      0.432894386477718,
      0.463627113704951,
      0.277597476152569,
      0.253825145150931,
      0.0903078580014205,
      0.32691841751196,
      0.470712836785017,
      0.371449665220437,
      0.350844949005541,
      0.27870202014781,
      0.513420968018728,
      0.379502033003538,
      0.409715989221448,
      0.335969336921129,
      0.131086723684643,
      0.25109402102517,
      0.37871014485546,
      0.354320423861216,
      0.49046880273856,
      0.652510097179984,
      0.323535079440975,
      0.416924711653347,
      0.570069539977187,
      0.518309154765331,
      0.465767312111204,
      0.297147101356263,
      0.361916635874643,
      0.126694527732867,
      0.470421804207891,
      0.408666100552154,
      0.247008662146551,
      0.127914190199604,
      0.484528854575435,
      0.555967875244313,
      0.438073978396151,
      0.339189965431841,
      0.25809222323331,
      0.517734452708893,
      0.422915397640117,
      0.342098387791243,
      0.365492804455755,
      0.229259555232372,
      0.233157310370412,
      0.355449195352946,
      0.393745170974344,
      0.246034165930181,
      0.302511333106273,
      0.200603725216969,
      0.497045602993725,
      0.310830980041664,
      0.505780956889461,
      0.513515844152578,
      0.487862506208436,
      0.439422984063718,
      0.375100838769955,
      0.502784633985603,
      0.448570267017866,
      0.200729299854976,
      0.193163704070915,
      0.503855147704475,
      0.414226946905903,
      0.64000267171406,
      0.429575742857522,
      0.23050362264014,
      0.474891570886947,
      0.447810400886269,
      0.36525834256804,
      0.54079181779701,
      0.625027714947776,
      0.416834367685871,
      0.62956177244055,
      0.553345142597394,
      0.568815549980411,
      0.44776059390946,
      0.597817320780086,
      0.623755857868633,
      0.391012756376267,
      0.444416972750765,
      0.548695290163901,
      0.318281057817255,
      0.599396507049491,
      0.432070149340638,
      0.368506145484206,
      0.308100993516489,
      0.365753130525072,
      0.287993587903283,
      0.510082698613016,
      0.274445582226518,
      0.350350272764409,
      0.219267611780674,
      0.43558350069824,
      0.0976101272596674,
      0.14929062394915,
      0.493928619085513,
      0.528368730522729,
      0.378971071038491,
      0.355780068810985,
      0.517077892310466,
      0.511628447547536,
      0.624710413275363,
      0.512610069321358,
      0.482216380777066,
      0.58259005140913,
      0.408096411401442,
      0.369344292847059,
      0.459935205765145,
      0.343216630801552,
      0.0450311022281019,
      0.527152530009697,
      0.50679641518084,
      0.47699425975746,
      0.410197066845584,
      0.20389462671017,
      0.119527337909721,
      0.239826405627742,
      0.635872810186552,
      0.570751970496331,
      0.555059476183665,
      0.345244203745918,
      0.465269160663424,
      0.669571107137767,
      0.661126673801282,
      0.331718055475617,
      0.280162287621746,
      0.55858232794317,
      0.363549620879283,
      0.663428336173532,
      0.386903238919078,
      0.183974749895824,
      0.417997861548474,
      0.322848454712517,
      0.389529880402153,
      0.431069122362029,
      0.268013000426548,
      0.261692118103212,
      0.505146746725777,
      0.228908028304903,
      0.416717782246125,
      0.493797086171577,
      0.358123931378007,
      0.245324182969709,
      0.58162614974953,
      0.568280799430732,
      0.625811877797137,
      0.446570695113021,
      0.534432113253038,
      0.532972436133852,
      0.357720099637953,
      0.363487766360095,
      0.306804630788958,
      0.220731018035799,
      0.16636979488371,
      0.318386842078281,
      0.421817086675312,
      0.541093224623368,
      0.309501012860118,
      0.447085578380193,
      0.308550885338395,
      0.541460040329204,
      0.501197015111582,
      0.496666875610434,
      0.508072805334729,
      0.440778205861017,
      0.398905189291358,
      0.469088761033165,
      0.485170926624397,
      0.410190609829464,
      0.592938000385427,
      0.523978185053819,
      0.446533743149892,
      0.602551766869453,
      0.630619566234325,
      0.4359945570339,
      0.602612446118269,
      0.385752766427356,
      0.391918892870799,
      0.290127288988243,
      0.259306161392516,
      0.0637433080987786,
      0.328975609360588,
      0.520257693445671,
      0.309645640750911,
      0.352659380003186,
      0.265273532048338,
      0.544038101886016,
      0.355119924292351,
      0.409381357718403,
      0.371168448917411,
      0.178036680431948,
      0.166835337091424,
      0.429152688587809,
      0.454295089065278,
      0.450490314289965,
      0.564063876034261,
      0.262790318061019,
      0.542396522290332,
      0.460892457246076,
      0.479821849636206,
      0.315582834616753,
      0.276593606179648,
      0.403451468984774,
      0.229698768444173,
      0.482356512929314,
      0.512784252179753,
      0.289266999979276,
      0.0652178897101601,
      0.482049489051124,
      0.571498801383232,
      0.410928889917711,
      0.338984602370984,
      0.210728282079802,
      0.486020796906222,
      0.44506550674972,
      0.602413253418861,
      0.4739035011859,
      0.398577201996423,
      0.333764976701524,
      0.39468316343519,
      0.393012607324838,
      0.423830509657796,
      0.630241141342087,
      0.651416287929747,
      0.517866268007558,
      0.292932839945814,
      0.535302084868534,
      0.553054634373468,
      0.48446660561518,
      0.606403640677904,
      0.49569492327039,
      0.537282024078992,
      0.584590779065772,
      0.59921940603097,
      0.137356642823403,
      0.360367154214339,
      0.461812875959915,
      0.629665366988914,
      0.423760820256527,
      0.394743720366667,
      0.383286578519455,
      0.355649957379477,
      0.469281151218914,
      0.527107755048192,
      0.624227626709208,
      0.392564588580421,
      0.622424052646495,
      0.452410121137524,
      0.548457744530352,
      0.415982387258599,
      0.60558983098409,
      0.626136694164056,
      0.422291531810506,
      0.515634562337864,
      0.591503132329099,
      0.362462267434965,
      0.410338084076504,
      0.284643043265797,
      0.335576561152823,
      0.405832027525007,
      0.493220557679138,
      0.213398870600401,
      0.470967649236947,
      0.262711190644075,
      0.265254863089184,
      0.284535279859807,
      0.265994220280018,
      0.254922712577438,
      0.234344514789618,
      0.53770230226712,
      0.354950304381881,
      0.51488622561341,
      0.229099069234912,
      0.567336617486186,
      0.350294976181641,
      0.4323595312396,
      0.382154384253357,
      0.196863151469315,
      0.094007931440903,
      0.417046785777813,
      0.53221943905575,
      0.401510844411028,
      0.358817220847316,
      0.201027732248804,
      0.551956845086243,
      0.270716674231677,
      0.207202629001782,
      0.3097708017991,
      0.145597765252979,
      0.360904263151129,
      0.190175126320635,
      0.495198748675387,
      0.543806200886541,
      0.305701081097091,
      0.340019973506615,
      0.500575453880941,
      0.550168530421052,
      0.403576614139089,
      0.364284942856577,
      0.228364624711628,
      0.394581843036598,
      0.491863958295008,
      0.432625024197391,
      0.552562677714198,
      0.429778250585179,
      0.319837811965641,
      0.463167109566908,
      0.428836155594545,
      0.146152082390917,
      0.252016418002998,
      0.189236353516945,
      0.484770503518231,
      0.29474631124289,
      0.449519789477005,
      0.48528728648576,
      0.485176314145068,
      0.244419457323302,
      0.423286716703031,
      0.522846547288201,
      0.379392416113675,
      0.263909580155377,
      0,
      0.321304574616204,
      0.508412592919547,
      0.622941369578036,
      0.545996240489278,
      0.341582368617881,
      0.424098130950335,
      0.516479953993505,
      0.504379170866289,
      0.23027467630516,
      0.24559187326739,
      0.292739555890475,
      0.245425295272273,
      0.247165538080061,
      0.145646020634013,
      0.220554684472244,
      0.177085001181177,
      0.132224180118637,
      0.282504943782965,
      0.201934761652926,
      0.215332205318811,
      0.0764994934966992,
      0.164519540325301,
      0.260633589955119,
      0.14803340877141,
      0.424716905155311,
      0.603918865735082,
      0.228159235943435,
      0.201087574103586,
      0.558587039605627,
      0.389554891809383,
      0.266812266895214,
      0.179491866442975,
      0.318235387118548,
      0.169013008603392,
      0.173952096269437,
      0.253588152340996,
      0.120971304596176,
      0.0678869860292619,
      0.293759769068568,
      0.335384993057771,
      0.291447142976531,
      0.0423409935531593,
      0.21043108967993,
      0.097733904109226,
      0.138605996935626,
      0.26256594757541,
      0.25982289178994,
      0.186588406673907,
      0.212365788066331,
      0.242555286380068,
      0.305225677282909,
      0.423277699574392,
      0.216033335466899,
      0.150728372828081,
      0.474692584394138,
      0.290846242594164,
      0.555622192054947,
      0.494781753596169,
      0.513607508432786,
      0.356475393882753,
      0.316290532449941,
      0.423648317491343,
      0.559845554768618,
      0.171249367212256,
      0.143203675511014,
      0.436548951079083,
      0.361564188649854,
      0.593416797620501,
      0.35942318277288,
      0.268595349366651,
      0.45005122756026,
      0.586274307333251,
      0.465012219323232,
      0.483352207907873,
      0.571830045891249,
      0.352209641320668,
      0.599345605706767,
      0.534512834462739,
      0.571447827207141,
      0.578570057489687,
      0.645955391754049,
      0.603868095911942,
      0.317614434473176,
      0.48959990887713,
      0.512768261534265,
      0.288731209483084,
      0.585845105033209,
      0.385058966270296,
      0.401813039665025,
      0.199466661918882,
      0.369188470282906,
      0.227880320047165,
      0.458264129285573,
      0.368589255000991,
      0.416859934111619,
      0.173694307715922,
      0.303942339881905,
      0.0127241333400673,
      0.134124403013282,
      0.478737344805447,
      0.457415809236594,
      0.316379847441036,
      0.284237126008751,
      0.475572718722214,
      0.536802660541379,
      0.594413702729638,
      0.442509418499694,
      0.499367111710527,
      0.470996563519455,
      0.338036820135937,
      0.299864247449668,
      0.423279418175683,
      0.390825322540687,
      0.077982746590484,
      0.317885900747483,
      0.341099280003771,
      0.362057330847834,
      0.459452102654597,
      0.097942336721932,
      0.437668794214586,
      0,
      0.451143738087398,
      0.403951913417234,
      0.251165738676598,
      0.410016650134452,
      0.403103507473013,
      0.5048682847996,
      0.646494462096993,
      0.479746261545863,
      0.318693541840978,
      0.485506326234875,
      0.651043869537251,
      0.342376179243779,
      0.283270554820766,
      0.156853365409733,
      0.187553356013801,
      0.268501942780534,
      0.399213654373095,
      0.311272027231739,
      0.296018333499316,
      0.215525650628434,
      0.536801302038305,
      0.175525005797854,
      0.549465552745318,
      0.514588670034507,
      0.315418927240101,
      0.272242116239566,
      0.581702159489617,
      0.454334939864716,
      0.571808509235441,
      0.304037878721231,
      0,
      0.439368999926086,
      0.302313976838184,
      0.338382863361224,
      0.229658383219965,
      0.200883698834248,
      0.239887372628382,
      0.521570831494198,
      0.339620554040239,
      0.508287782646798,
      0.372507105327795,
      0.328649808762816,
      0.300807834947011,
      0.516473589239851,
      0.360618184259632,
      0.396151993575674,
      0.3427621634517,
      0.509663424699077,
      0.327647580646304,
      0.393991205729355,
      0.339365915252969,
      0.466719958885761,
      0.589678579149617,
      0.566017798753527,
      0.482539067970046,
      0.55539258649528,
      0.520350566529145,
      0.418548187294834,
      0.479612111246208,
      0.466956252334083,
      0.428536816096385,
      0.282572024809433,
      0.284432837451619,
      0.113445701893363,
      0.32665363333473,
      0.42484864885702,
      0.445611014744281,
      0.294201866929472,
      0.261863903263803,
      0.475247763505922,
      0.309892434568628,
      0.37307439859113,
      0.297864921396005,
      0.143011443900072,
      0.182385163204448,
      0.328807991498717,
      0.298645863890435,
      0.501562112174366,
      0.650686560626085,
      0.237185321933477,
      0.349414670144567,
      0.513179724067087,
      0.486993843280198,
      0.482709603378587,
      0.284793517519817,
      0.39533405447948,
      0.143192523101941,
      0.413711340051991,
      0.353205820263698,
      0.232059697110814,
      0.102284213910869,
      0.445502908643406,
      0.510691710303115,
      0.396495217128466,
      0.311323712517496,
      0.189825896421264,
      0.521841947714331,
      0.377833361085293,
      0.275028282433672,
      0.304024759282432,
      0.151824192398326,
      0.27342534637036,
      0.323452897720005,
      0.385927770451915,
      0.302053173633374,
      0.312776591394126,
      0.21291393327209,
      0.450796503410849,
      0.284391854104593,
      0.490889783305057,
      0.498688131851669,
      0.528307893947318,
      0.428352344968282,
      0.312395856586123,
      0.475860173884406,
      0.494183670229072,
      0.14650367857559,
      0.142033913598933,
      0.442586270290396,
      0.333251031349379,
      0.589217967008479,
      0.393029046353124,
      0.220276524832417,
      0.457555544964185,
      0.422504102331982,
      0.464969469028218,
      0.546574025714173,
      0.57783385959526,
      0.377748895988708,
      0.593560648686244,
      0.504312271074915,
      0.576304736777065,
      0.484613515977366,
      0.601978252835237,
      0.60532035182049,
      0.295313192334064,
      0.379069921728977,
      0.495566081920444,
      0.258130220750161,
      0.556161960894884,
      0.383071209878237,
      0.364306688654448,
      0.445606392695401,
      0.350022473249584,
      0.327169818550408,
      0.542063473269716,
      0.223228040367091,
      0.311148845672104,
      0.181590171167412,
      0.38600230164789,
      0.0745867794973304,
      0.148123933475265,
      0.437695078399684,
      0.557543545918994,
      0.358335296820994,
      0.330268942411038,
      0.48634545571371,
      0.547003037352101,
      0.623119234049637,
      0.515947316921135,
      0.422631088773042,
      0.547918988253052,
      0.36023596522449,
      0.29493894732711,
      0.515719011230178,
      0.449866242714424,
      0.0547023245242114,
      0.425572129429737,
      0.447433089322232,
      0.431271560158704,
      0.393160475604384,
      0.234567575449153,
      0.0929612326437919,
      0.310912132268283,
      0.603237157338668,
      0.52133532847706,
      0.501914326562331,
      0.360385653962969,
      0.409405131325977,
      0.615154789341191,
      0.588127162911994,
      0.336310492074537,
      0.318232170051879,
      0.502059269939511,
      0.345041938064019,
      0.68586954342315,
      0.317881757627653,
      0.175874083757212,
      0.377819091542467,
      0.27546997787966,
      0.408859269164765,
      0.503299648119131,
      0.278502345361934,
      0.330891181978287,
      0.521994956098748,
      0.18980274798205,
      0.40341494450349,
      0.578502947315456,
      0.31260638624571,
      0.19238062165325,
      0.524728638123174,
      0.464062998636408,
      0.608573446654197,
      0.280916310092407,
      0.420078089043097,
      0.490975939730604,
      0.35257633372182,
      0.341319964076767,
      0.231244334521237,
      0.25105501152694,
      0.221419426421837,
      0.293510066603095,
      0.454360821283923,
      0.543897700104289,
      0.300508780365683,
      0.315844141174169,
      0.278963174681016,
      0.492393591900993,
      0.369242246732726,
      0.414023335578339,
      0.488248333417128,
      0.36505147714124,
      0.352295530139919,
      0.417328164536277,
      0.42181918199573,
      0.489519492314141,
      0.559509804703279,
      0.504099580572899,
      0.517416797518528,
      0.587035018721101,
      0.590364054242656,
      0.474030315596976,
      0.571103346873592,
      0.349716542706616,
      0.302579855823399,
      0.34519637435131,
      0.23104036335598,
      0.0925996153382359,
      0.352430535711349,
      0.446216011410542,
      0.271539778280028,
      0.330875632821727,
      0.231504503126172,
      0.464665388865046,
      0.323653467858455,
      0.358304600175064,
      0.324334511434908,
      0.191237155228183,
      0.191292185445914,
      0.383834478644025,
      0.354297670192232,
      0.488087039319123,
      0.538594427091487,
      0.255877638154867,
      0.44871194424915,
      0.423244600460426,
      0.52874447896975,
      0.325634357989767,
      0.216258343657182,
      0.417279187512493,
      0.220914699615327,
      0.430844760527751,
      0.490443138540514,
      0.28892563369352,
      0.1272416107507,
      0.438485896950884,
      0.524989748042544,
      0.377240567517639,
      0.29115972374977,
      0.204567995341989,
      0.487136641948972,
      0.417037213763592,
      0.549712350134888,
      0.48436375172848,
      0.37923417276678,
      0.343257876042158,
      0.381823231380938,
      0.327543573148474,
      0.382490538067311,
      0.578084284863262,
      0.613106661643052,
      0.5130031747777,
      0.313899401850858,
      0.522238961985263,
      0.559515734603652,
      0.458061670680275,
      0.566686920406247,
      0.452010659683882,
      0.51232107081343,
      0.542912445608627,
      0.558566975091947,
      0.108098873265777,
      0.345750828451588,
      0.415820397354458,
      0.58644055388487,
      0.384331172426939,
      0.457861377295971,
      0.378989387580972,
      0.374991568602062,
      0.558419414123732,
      0.539881019225405,
      0.58006201521214,
      0.350505010178773,
      0.601766033351139,
      0.416663134857475,
      0.557375401258723,
      0.479697027933108,
      0.620352919144105,
      0.581827509107309,
      0.342865913730484,
      0.495824400344349,
      0.531755230244966,
      0.298574202038523,
      0.398426503590884,
      0.274803121783445,
      0.318603055506486,
      0.37720820429996,
      0.458801706536724,
      0.152023825056148,
      0.510589269762083,
      0.266897609279852,
      0.264349414423216,
      0.246736736113037,
      0.182780966255175,
      0.300947186993029,
      0.185932514144864,
      0.478865525152153,
      0.292763354929255,
      0.420664914355349,
      0.196208506390905,
      0.53204754498348,
      0.298669993444723,
      0.385571355843333,
      0.317145310645829,
      0.233924423162423,
      0.167335362235656,
      0.361555661909839,
      0.44952042250826,
      0.442157025113449,
      0.365036431657252,
      0.153647212315683,
      0.472417307163242,
      0.248861544491946,
      0.197192375034366,
      0.25975765364631,
      0.0933599966951851,
      0.513689109784929,
      0.107161349992253,
      0.443102597908303,
      0.529062369845592,
      0.279307785164994,
      0.300468722873408,
      0.451483200199739,
      0.495298986431161,
      0.416337283874764,
      0.317587644259712,
      0.168685195006653,
      0.374818966191209,
      0.363518810050941,
      0.364135158416037,
      0.500553152150852,
      0.463845333432888,
      0.337630064421654,
      0.526160305512434,
      0.34764891148343,
      0.228502899397649,
      0.264867119737862,
      0.189590107984945,
      0.565435131038021,
      0.488912838169253,
      0.387635403852902,
      0.465651194113618,
      0.454913481889608,
      0.28560464027605,
      0.378601648132207,
      0.491388335502617,
      0.33423171142934,
      0.22390854306425,
      0,
      0.525248013094119,
      0.405673135791411,
      0.418006978417343,
      0.39911903421525,
      0.292097529687204,
      0.424133699193821,
      0.442332721555255,
      0.441124691225469,
      0.339353707018783,
      0.346747376455021,
      0.291885774071652,
      0.169347233125611,
      0.290276078299467,
      0.161506132329625,
      0.147258028528626,
      0.275447142963282,
      0.0906790993363531,
      0.228688642102947,
      0.235513694374599,
      0.228687976582051,
      0.16163549771686,
      0.151408350790368,
      0.153583704946232,
      0.115708303047396,
      0.307599773288884,
      0.452210978719914,
      0.428622876308558,
      0.376366245798712,
      0.376627389798227,
      0.409480585740226,
      0.398711918200472,
      0.244989414997405,
      0.344825158884442,
      0.215863040414825,
      0.401172616341964,
      0.196385528371984,
      0.107146068075684,
      0.135172327768123,
      0.343154222093573,
      0.335959934701406,
      0.266152959470729,
      0.0145074755027977,
      0.239036043581545,
      0.166042102753107,
      0.161709656954299,
      0.181607626087356,
      0.254710520492685,
      0.182354032397493,
      0.154117361636461,
      0.223701778454638,
      0.462587775152831,
      0.421118534069656,
      0.40932104194946,
      0.320873734760496,
      0.489941159138984,
      0.396658846936239,
      0.282584766175293,
      0.298644113023589,
      0.463610985404191,
      0.150290340669261,
      0.183951021406277,
      0.346640571130304,
      0.499758945182649,
      0.170748447043319,
      0.110696045568597,
      0.219068972050078,
      0.270653934273349,
      0.259658762745685,
      0.527720862770182,
      0.57605943940574,
      0.348433646281764,
      0.475217968762676,
      0.517810829542129,
      0.430680440021533,
      0.417865820732701,
      0.559050778587043,
      0.531705939046648,
      0.536692300924967,
      0.203875120018646,
      0.511349378023772,
      0.367162512634912,
      0.536372118755236,
      0.294018211249936,
      0.209125251894023,
      0.246794564701888,
      0.204801642061687,
      0.206053515584812,
      0.364913497689628,
      0.390803281219549,
      0.278944488827213,
      0.410241677954765,
      0.183758386472187,
      0.477260612202205,
      0.227148950252529,
      0.450367010053074,
      0.263486545215104,
      0.279459361296094,
      0.0655454371236093,
      0.392017368312965,
      0.349483146799113,
      0.453559962998567,
      0.331651999042679,
      0.425423342398516,
      0.284639035480544,
      0.44926660052854,
      0.392148265037127,
      0.56753213312283,
      0.561243190636842,
      0.238002782230554,
      0.0283615126425856,
      0.10518658401762,
      0.427669977439728,
      0.449244378684598,
      0.138159699892902,
      0.228556461290519,
      0.510543457121663,
      0.337673706488315,
      0.434795394096329,
      0.218636285486841,
      0.440405105235777,
      0.33930737030236,
      0.311998166709471,
      0.45945340019719,
      0.385526572953533,
      0.301331684906566,
      0.194320589065113,
      0.392458763514628,
      0.578045950693125,
      0.520200768720331,
      0.425282226812889,
      0.578167835071166,
      0.482962797384727,
      0.52989452936534,
      0.219626840210789,
      0.164865004714419,
      0.228751073618573,
      0.0776197231872448,
      0.433001492994535,
      0.409762240922055,
      0.437187070635864,
      0.265015859277826,
      0.5471866316822,
      0.500719247847889,
      0.469759600592901,
      0.411635822644735,
      0.310749336417174,
      0.257685643759452,
      0.315203305943136,
      0.341074168433046,
      0.506547437033609,
      0.265737664319502,
      0,
      0.386384110369527,
      0.258015549149234,
      0.34463855666136,
      0.28308607361964,
      0.239125161320486,
      0.225141698017163,
      0.483701491107275,
      0.405218004685459,
      0.521641181594136,
      0.360504773062821,
      0.334335878989247,
      0.444937441426833,
      0.384479537692953,
      0.266569038706033,
      0.318035552691228,
      0.183692567129256,
      0.490777726423767,
      0.223629380142129,
      0.207817592957715,
      0.553949303624473,
      0.486358787192584,
      0.574229066916733,
      0.553305546344574,
      0.404037616701258,
      0.449761006647138,
      0.372240427430044,
      0.340504352192966,
      0.500358086809947,
      0.385219372033205,
      0.426713604498771,
      0.309576365274662,
      0.378775988573232,
      0.115038440445159,
      0.39627374914827,
      0.389657175838657,
      0.437480629343955,
      0.14585228423645,
      0.394100637049895,
      0.382741671881685,
      0.22737907555946,
      0.254000121423601,
      0.060040858062171,
      0.234937070207437,
      0.24118408630836,
      0.20503465528483,
      0.30860516069893,
      0.478790965862456,
      0.545320512359635,
      0.444402895573253,
      0.507842647319296,
      0.531581605594406,
      0.412782057299572,
      0.446076781873442,
      0.35691689033646,
      0.417656000541123,
      0.341486683592266,
      0.371574653900444,
      0.341877240339557,
      0.18573603143996,
      0.0797696160452565,
      0.337051692694192,
      0.390314019488333,
      0.244309573581292,
      0.171446607536715,
      0.122394299555218,
      0.57078966760276,
      0.362997235978667,
      0.197609658273477,
      0.251524302599622,
      0.185545763138594,
      0.1659776445491,
      0.333198620189291,
      0.477581153862774,
      0.328262461671605,
      0.357884530567734,
      0.336639594196178,
      0.474290462835861,
      0.398612185161417,
      0.276498030486589,
      0.333312040616532,
      0.414774491482981,
      0.130580656643758,
      0.175525308594758,
      0.414252767933747,
      0.450508117765516,
      0.171542614300019,
      0.152582257985426,
      0.256344550490151,
      0.276098268392986,
      0.262933760751446,
      0.552301393290324,
      0.566049661430155,
      0.300952771585999,
      0.542985792019415,
      0.474164631059585,
      0.57561883462056,
      0.357886540350699,
      0.565897007645177,
      0.490079433474439,
      0.425815622249181,
      0.286897848367014,
      0.382281477936262,
      0.393890481889089,
      0.443136349768007,
      0.233484211329097,
      0.267670810268468,
      0.304557028925603,
      0.0581821024385827,
      0.343077913880618,
      0.506144726773604,
      0.352079275009623,
      0.480648266684609,
      0.301751745603993,
      0.375027377250025,
      0.492955817985631,
      0,
      0.419789877530556,
      0.27703401103291,
      0.276297292736073,
      0.0805494127616525,
      0.398790393083211,
      0.254272362049246,
      0.415411673177084,
      0.466081244699541,
      0.530042462882153,
      0.471908850168947,
      0.590060454798198,
      0.495258808487833,
      0.477420421640861,
      0.430143551457594,
      0.360620037527076,
      0.0703684213656361,
      0.167776203172604,
      0.51302591211474,
      0.537169038850635,
      0.0972707717642702,
      0.342307219161824,
      0.46819093020015,
      0.321446632317434,
      0.368768906871682,
      0.325459046198757,
      0.0980210292691213,
      0.354532572809708,
      0.603711044607198,
      0.42182227626078,
      0.541448869352533,
      0.355276306997119,
      0.220865815536688,
      0.395226584384567,
      0.462098037469939,
      0.326468995938448,
      0.466462217948306,
      0.543871436014236,
      0.373248413776089,
      0.640571799648553,
      0.36058357366313,
      0.197021473300658,
      0.144538036886303,
      0.136016415106238,
      0.481330377032066,
      0.584484418160555,
      0.406854148816705,
      0.388610404384108,
      0.567470753608677,
      0.341099657794793,
      0.212946884127405,
      0.586291820837034,
      0.239934560969805,
      0.242695786116549,
      0.331754606787839,
      0.265532865297693,
      0.461347635365222,
      0.386848124074142,
      0.284873187242841,
      0.326111625938731,
      0.339533876623118,
      0.288828644811225,
      0.215084324130919,
      0.287619634568583,
      0.243795679233758,
      0.273532247712226,
      0.506005174448312,
      0.5760187268208,
      0.355511142680074,
      0.297714973843195,
      0.458407891647335,
      0.288806458774283,
      0.293047774103731,
      0.302805304417961,
      0.401408056313253,
      0.355111777285329,
      0.147774601058207,
      0.15545292647269,
      0.573200169254379,
      0.480717950730441,
      0.34571694313672,
      0.53782679235998,
      0.443093733050645,
      0.446533489606558,
      0.362822028539298,
      0.334943842778414,
      0.465922275981372,
      0.319952723887514,
      0.413262371610696,
      0.364126861909843,
      0.351158062949798,
      0.130149783612694,
      0.408812008006419,
      0.372068150838735,
      0.227236533152489,
      0.22365374067398,
      0.404925412795507,
      0.473411002891898,
      0.210375302436753,
      0.301783652377757,
      0.247546600856049,
      0.218408661652987,
      0.20244716721668,
      0.245422015230955,
      0.290610858409761,
      0.475662566773112,
      0.481361084698663,
      0.502516092910893,
      0.506493739851624,
      0.375874986887517,
      0.411012970719861,
      0.441061161216109,
      0.39800928183905,
      0.399746399073835,
      0.358794843358671,
      0.264056301188517,
      0.486300292298478,
      0.211814896668121,
      0.163980559408587,
      0.243447196798481,
      0.337842772375704,
      0.260700935470831,
      0.256150692059286,
      0.197002330042538,
      0.46039622575129,
      0.33140392580581,
      0.250932841224045,
      0.562451852866676,
      0.563060741924873,
      0.311323570485839,
      0.555746357405771,
      0.294518419834444,
      0.441832072885073,
      0.429613952731364,
      0.299640100001343,
      0.579843814267082,
      0.468382088541629,
      0.265438881087378,
      0.285960972866962,
      0.504480223015611,
      0.179399545946871,
      0.24283412840375,
      0.419995155920748,
      0.357113310195608,
      0.226217927173556,
      0.201081673673052,
      0.532540941325044,
      0.317099957682473,
      0.220102853318944,
      0.546437118090593,
      0.577256112166672,
      0.308885768322956,
      0.566484853704049,
      0.536674727862568,
      0.559870752657077,
      0.363992762679635,
      0.540647283463254,
      0.502189254214685,
      0.415070394227582,
      0.302480988430998,
      0.329358669644724,
      0.467456757254233,
      0.291505413451796,
      0.330279107583229,
      0.271296658954888,
      0.454614457410784,
      0.118377712842856,
      0.354954508137793,
      0.552669909473807,
      0.306327387118911,
      0.304409032216532,
      0.36659190806264,
      0.140794378247312,
      0.464166492390764,
      0.267276952363207,
      0.411284062416939,
      0.471220315344241,
      0.285374803224743,
      0.507898944675107,
      0.412254336524338,
      0.354667019437328,
      0.240923022851303,
      0.308969399005397,
      0.104473393593739,
      0.566803032988102,
      0.0538684753647741,
      0.233159259104432,
      0.27392379761186,
      0.272964399816256,
      0.289294241865237,
      0.252977780014749,
      0.630531196956029,
      0.464674820341782,
      0.296782321436601,
      0.193061046788671,
      0.40957181203703,
      0.208089052756449,
      0.348073519078279,
      0.365357074426218,
      0.217060198969974,
      0.56184165599683,
      0.369137848349052,
      0.43020898242553,
      0.528533774255355,
      0.174980426322018,
      0.308667615433251,
      0.244512148159839,
      0.231629931788198,
      0.401769158870933,
      0,
      0.171183417831094,
      0.338187591151143,
      0.383264723200619,
      0.249321197631336,
      0.408153509252303,
      0.303228787160395,
      0.259145487268438,
      0.470736857651204,
      0.477877232598965,
      0.482677351507387,
      0.401984000997987,
      0.320873626734905,
      0.561531594223676,
      0.57943872597533,
      0.241931820471307,
      0.250222016290872,
      0.378443542297859,
      0.252834297284999,
      0.198121832100465,
      0.233887072431556,
      0.149211423725189,
      0.105809488817855,
      0,
      0.49028705179634,
      0.524882715385778,
      0.568111215830649,
      0.626725806890901,
      0.414514086392895,
      0.504741699364221,
      0.421984229686385,
      0.286355561065572,
      0.452269052824857,
      0.43074271690035,
      0.44695533294775,
      0.201607108931038,
      0.263039381209882,
      0.268334762895969,
      0.284165457193145,
      0.438480141358171,
      0.339261786865656,
      0.405923338776072,
      0.306136797304505,
      0.303135323177622,
      0.178301517007901,
      0.235413359350691,
      0.250817027082115,
      0.537893901312264,
      0.549133095137841,
      0.5306897530639,
      0.61204425227353,
      0.574778197077438,
      0.377122459107131,
      0.424427770404241,
      0.431985516470366,
      0.474930892385219,
      0.533921700645316,
      0.257219486386771,
      0.588520883815649,
      0.259417062829964,
      0.0838422372667504,
      0.316484839787746,
      0.548001439697281,
      0.343096767695017,
      0.389187685866165,
      0.15556570249927,
      0.278606566947503,
      0.480314340212851,
      0.333923992685973,
      0.357893498861433,
      0.354102201240313,
      0.36061600271324,
      0.385274649984232,
      0.374933911791089,
      0.509526406090024,
      0.414910613517701,
      0.484941763163004,
      0.35154786656145,
      0.530906042525055,
      0.53893343894504,
      0.442414024610466,
      0.4416181364627,
      0.349471099844721,
      0.382220278732762,
      0.271955066357691,
      0.467215508153227,
      0.490113206317724,
      0.265368389880232,
      0.235367519448035,
      0.355402896638955,
      0.275661813872858,
      0.514907226445263,
      0.59853590459504,
      0.635557837660833,
      0.474721217877054,
      0.426200774832595,
      0.489220135069198,
      0.552027731753048,
      0.461648540304199,
      0.621898329790703,
      0.603332240938007,
      0.546783293203118,
      0.399482484642181,
      0.472822453042746,
      0.273961395096359,
      0.479037980002806,
      0.360347484670042,
      0.440668364587148,
      0.448040972596276,
      0.327274820984294,
      0.258044847121892,
      0.48134312824775,
      0.453792168937794,
      0.368974228669743,
      0.565189986522487,
      0.266785737274296,
      0.452592041406201,
      0.2167930126331,
      0.570034807799265,
      0.565599338530099,
      0.319009046758069,
      0.0822706849218689,
      0.454201269306155,
      0.437754180831539,
      0.425651443366379,
      0.454463505229838,
      0.456396709299585,
      0.392658731590313,
      0.461693751605911,
      0.410797881055681,
      0.573001247820578,
      0.43650331891583,
      0.399006140223736,
      0.237051356933672,
      0.197761513367909,
      0.507235796028421,
      0.492592848041477,
      0.230229096779962,
      0.360503541005792,
      0.56827475366133,
      0.418541423033824,
      0.345614899897085,
      0.541005144236627,
      0.488247416264813,
      0.400045470234982,
      0.436609972591357,
      0.595507121642048,
      0.536344611669877,
      0.380310248721981,
      0.255618301803307,
      0.390826175119255,
      0.489055355623351,
      0.556228134467027,
      0.461220986618374,
      0.559703048382654,
      0.475126159776022,
      0.609810690334361,
      0.299420555990623,
      0.223588246423896,
      0.310953791081582,
      0.0398481521521268,
      0.589796284584832,
      0.510581518762887,
      0.573746453031285,
      0.543735513386943,
      0.634477729968893,
      0.586457863966749,
      0.416816950816573,
      0.246553834833699,
      0.427229054427076,
      0.350429742727565,
      0.469301808568392,
      0.455098495585746,
      0.456725495706914,
      0.445614994716329,
      0.0418870290985636,
      0.405213711922312,
      0.23932060245269,
      0.39688042480962,
      0.407283352248908,
      0.413006126118222,
      0.433633665808855,
      0.557568588703028,
      0.430061154286471,
      0.5347810530179,
      0.356627734974459,
      0.377759621950664,
      0.495960974602525,
      0.416329443347263,
      0.429448849198817,
      0.433841220773602,
      0.212800043256683,
      0.468443757744398,
      0.321322012729856,
      0.287019883650234,
      0.623773464880659,
      0.37548669795095,
      0.607774466889009,
      0.518528422248931,
      0.419311632287485,
      0.589859453299707,
      0.58287263426145,
      0.32875502482236,
      0.539937935440423,
      0.468214668476919,
      0.469127696003164,
      0.435161371621809,
      0.476562609078046,
      0.167496727928879,
      0.458688316185825,
      0.427443599042976,
      0.386166415321629,
      0.200048192161924,
      0.558108559929021,
      0.385068209486594,
      0.300137750299719,
      0.459548624534419,
      0.176632651384085,
      0.229429681379788,
      0.223596954966435,
      0.334190857606206,
      0.499000801188754,
      0.576109132252478,
      0.604817334471851,
      0.5267133458641,
      0.605506149598099,
      0.573019940527135,
      0.435549988374717,
      0.450742861665319,
      0.483656122729119,
      0.556716381754293,
      0.417351255063126,
      0.553969268611045,
      0.345103236910176,
      0.249408631745138,
      0.245334410314252,
      0.453927701307631,
      0.413530765734478,
      0.295197783209789,
      0.244765020665649,
      0.295035525695448,
      0.595666698007503,
      0.348709078579141,
      0.362209226878665,
      0.416513713013281,
      0.385800570565484,
      0.355918659831983,
      0.325740262436689,
      0.549982996022965,
      0.413648713796948,
      0.482569383118979,
      0.373062518064774,
      0.546121722005518,
      0.477553974040057,
      0.410471493454098,
      0.424830453445432,
      0.396327532472924,
      0.381096771989399,
      0.242975324609069,
      0.428539994974547,
      0.501093112812102,
      0.375499196964597,
      0.295285717539905,
      0.322522505618887,
      0.244581955065529,
      0.437352541263941,
      0.61079993859227,
      0.622406071691435,
      0.483369615739118,
      0.573506247238386,
      0.467312042288402,
      0.56772832862003,
      0.465040324337792,
      0.62260452025312,
      0.534201019634439,
      0.544452465920941,
      0.435981578121065,
      0.342834643864615,
      0.370297989879506,
      0.408203214206435,
      0.461454157303565,
      0.440021821693778,
      0.458575253812751,
      0.262289730737945,
      0.336606745547711,
      0.607363438313286,
      0.483175123115875,
      0.554386268734534,
      0.451003038434913,
      0.56519702489641,
      0.451887543001338,
      0.0131122519163319,
      0.45774219227763,
      0.354111636825582,
      0.33925215797547,
      0.149364818756899,
      0.459705314437519,
      0.370420625919033,
      0.489021507709684,
      0.634807014387866,
      0.581671233930029,
      0.575630693160045,
      0.527589435805373,
      0.471189973379799,
      0.438035059300755,
      0.530658235957728,
      0.453192583396205,
      0.250957153943814,
      0.216202723657984,
      0.470385886541068,
      0.590370681025327,
      0.112124230542231,
      0.367663294928968,
      0.496147748460317,
      0.352411701666941,
      0.448739834476816,
      0.437059156721286,
      0.207406935510801,
      0.411345259812404,
      0.581714259295137,
      0.430601180207265,
      0.551026725880045,
      0.398819917017001,
      0.25198959234414,
      0.459840266706225,
      0.376359492925094,
      0.359874823230004,
      0.46450511027312,
      0.599737904396379,
      0.41419880053712,
      0.498000641988998,
      0.482235445392399,
      0.389140919248298,
      0.234054319356834,
      0.106424604458714,
      0.53483973706951,
      0.653114705470934,
      0.537127370451838,
      0.593590657068926,
      0.578306301160685,
      0.415879896933949,
      0.292987015066581,
      0.462073116089422,
      0.284460112125307,
      0.467839560633892,
      0.326763388560561,
      0.542744809703912,
      0.391933583016107,
      0.453161963228926,
      0.26356980861287,
      0.37259395065126,
      0.290760570773819,
      0.315028937015527,
      0.400933340226743,
      0.428031098281136,
      0.326089244233435,
      0.338347621744025,
      0.530983841067446,
      0.560608636789482,
      0.407583857673962,
      0.327399760629863,
      0.513098251278568,
      0.362885300492467,
      0.425040423158303,
      0.448511115258501,
      0.399623817126153,
      0.325612993973533,
      0.277277383249327,
      0.318490123725505,
      0.65445908149239,
      0.466213785348157,
      0.350646555692098,
      0.56540731095729,
      0.340173878979433,
      0.604135227834592,
      0.525728477345908,
      0.387269153454571,
      0.46749135155515,
      0.46710925432641,
      0.462144253650528,
      0.402903760557963,
      0.431274885421882,
      0.148649228447085,
      0.468112887937268,
      0.433041785117334,
      0.292741602604052,
      0.195980501150061,
      0.504138534976632,
      0.507993157286294,
      0.243354458918513,
      0.439190848719322,
      0.272769294584078,
      0.199936420996869,
      0.287469891204489,
      0.293957500020853,
      0.500013037162527,
      0.623091341687737,
      0.586932422890273,
      0.574173443899175,
      0.617705716301664,
      0.40852465796246,
      0.38135655138997,
      0.516795955893913,
      0.455815670618602,
      0.591513168766642,
      0.424141801461779,
      0.3315715684267,
      0.476783428033996,
      0.229959726326802,
      0.336262580407861,
      0.432743099628832,
      0.29703154242156,
      0.321302409390554,
      0.33786253347432,
      0.324581785240335,
      0.505120671528601,
      0.323455826740463,
      0.430821659807173,
      0.61089146962537,
      0.610796972370198,
      0.456712209917021,
      0.625427962974967,
      0.529211508496949,
      0.5703292962918,
      0.532342065252396,
      0.392802496073304,
      0.592190747728531,
      0.570205496202401,
      0.489999525505062,
      0.418318716608846,
      0.587187238407181,
      0.319413159635925,
      0.467645662904539,
      0.509587942953838,
      0.49327335203226,
      0.444805759577446,
      0.344197686740515,
      0.618819409049255,
      0.458137189686173,
      0.479477770302565,
      0.609093631589467,
      0.620842237688105,
      0.505829953166693,
      0.619646892805907,
      0.484524293034507,
      0.543904757945192,
      0.416488152248633,
      0.610738341797704,
      0.474888513024913,
      0.577315131470674,
      0.463445593086103,
      0.344154207100682,
      0.378715146852896,
      0.220480531026154,
      0.47889653159299,
      0.464725656680278,
      0.471799341828112,
      0.270414257582072,
      0.331806862900375,
      0.612439549739509,
      0.471302297896692,
      0.304894104908532,
      0.260146143234491,
      0.100883929104517,
      0.440930819985293,
      0.332278015351231,
      0.469236873745802,
      0.577849320513455,
      0.285808934070041,
      0.684676421293118,
      0.465266115472191,
      0.387784550090453,
      0.260450822547802,
      0.30121612022922,
      0.401155016565703,
      0.553012208022008,
      0.197294884761904,
      0.237246890907497,
      0.24077400297757,
      0.295909554393505,
      0.438686614515818,
      0.274714430133601,
      0.689169172048602,
      0.583732339069618,
      0.383509144968299,
      0.164658765363129,
      0.412418958328053,
      0.167263814320836,
      0.402615448735522,
      0.416772717443458,
      0.276451068980761,
      0.551579160246533,
      0.427338787575422,
      0.51000716520334,
      0.496507287866822,
      0.199717946942135,
      0.299352340333428,
      0.294207286073951,
      0.207971343940477,
      0.392200962242377,
      0.176900125118042,
      0.166524046830503,
      0.302172700058985,
      0.362279645321717,
      0.346660026610968,
      0.436523120113247,
      0.214353847187632,
      0.241683763308385,
      0.533237776448638,
      0.533315000904858,
      0.502940227382763,
      0.46228079800449,
      0.372324963383818,
      0.606845608696692,
      0.551919997580342,
      0.26756962992376,
      0.225051594258754,
      0.276750846134454,
      0.229345421150791,
      0.270255744324538,
      0.350202006883147,
      0.325254802387965,
      0.294342748317461,
      0,
      0.328066915192595,
      0.584051137700808,
      0.616573984012005,
      0.634170201372167,
      0.478163797332602,
      0.62699013507303,
      0.456488335530026,
      0.218531837034454,
      0.406431883414481,
      0.47737703199532,
      0.490734488101775,
      0.292619617622301,
      0.245650526014035,
      0.508337912668663,
      0.298492982628667,
      0.550467983250341,
      0.561238410407776,
      0.504082376282928,
      0.371236613895115,
      0.416960774370113,
      0.187721438630613,
      0.464441045017916,
      0.48172585670479,
      0.596341655499127,
      0.650082343311087,
      0.637938626819874,
      0.567174835069195,
      0.578820790535038,
      0.384769835864451,
      0.364618915295744,
      0.262994590984293,
      0.496576936461701,
      0.605688731975025,
      0.202345438000495,
      0.553076368671685,
      0.377094838598598,
      0.1937414804438,
      0.343594657682461,
      0.613349218358269,
      0.19995906619391,
      0.472419606261585,
      0.24969881834867,
      0.418062366086806,
      0.605300240346446,
      0.46288416975871,
      0.477446128809519,
      0.497980270553825,
      0.528027861220936,
      0.467548383290913,
      0.431932358620022,
      0.384793064600218,
      0.409389738575177,
      0.442669657121541,
      0.180710322073565,
      0.501913490243955,
      0.490234866145654,
      0.537332481462473,
      0.518520029158511,
      0.445373403231761,
      0.458303938835695,
      0.389841836678112,
      0.488595501341957,
      0.534761030273145,
      0.441676054220455,
      0.370591554719861,
      0.503127196934595,
      0.387631478897043,
      0.589245403400658,
      0.587308766111795,
      0.420532847312412,
      0.618941164937396,
      0.488265133779243,
      0.412610236495217,
      0.466091595962465,
      0.561827700441859,
      0.389764931722483,
      0.517165194737199,
      0.523554376050589,
      0.532857013407703,
      0.394206395435663,
      0.282830506912176,
      0.463591483580005,
      0.440441626750339,
      0.589464740524692,
      0.584223239844734,
      0.482092011236103,
      0.460728073978245,
      0.609537360268418,
      0.56721848663308,
      0.541995376395257,
      0.635322151055973,
      0.353852974738711,
      0.456296662246118,
      0.271840270431929,
      0.631202129373386,
      0.690618750993116,
      0.334209751958058,
      0.136755428026247,
      0.223873786951591,
      0.50267480933969,
      0.493234289074124,
      0.370303810461836,
      0.329956984716208,
      0.496077530025002,
      0.452276217103148,
      0.549870860439534,
      0.379575644412585,
      0.338877560505829,
      0.531281735519808,
      0.382481096969591,
      0.330676797670742,
      0.616770418028116,
      0.536696566795635,
      0.305800604183894,
      0.463859752221306,
      0.371670033029599,
      0.520955475646697,
      0.321846268442877,
      0.677233791955991,
      0.439716487310671,
      0.19252639690063,
      0.487508062127369,
      0.545608514546016,
      0.494217128236025,
      0.375806556208326,
      0.393831041675784,
      0.491865123439951,
      0.599765486180829,
      0.561521402705226,
      0.492265715512744,
      0.550395163589169,
      0.424692593345796,
      0.568614183487973,
      0.377237271778682,
      0.157742174193548,
      0.318009254054578,
      0.0724899785238866,
      0.609343543535825,
      0.563401345081492,
      0.570695358815356,
      0.669799766866828,
      0.686100531345216,
      0.425171042218898,
      0.477614127424652,
      0.286817278467859,
      0.488038883421698,
      0.455261772619459,
      0.610107246065587,
      0.561621766216804,
      0.451638670850869,
      0.47179826541844,
      0.108807480944804,
      0.473659138133287,
      0.314053153270582,
      0.498047941362664,
      0.543043285110424,
      0.546005773967328,
      0.514294759440081,
      0.641015241572968,
      0.349687484623562,
      0.50479591068581,
      0.47542991327319,
      0.440342796667717,
      0.335573292995436,
      0.401762603988969,
      0.562729829653166,
      0.589245150555976,
      0.330630522822625,
      0.451767617219469,
      0.443187059734967,
      0.390228777671008,
      0.417315143976132,
      0.317463197277278,
      0.514783254138983,
      0.409310617807684,
      0.497065943682942,
      0.662392435272125,
      0.65343682600228,
      0.420399680712524,
      0.630666085156838,
      0.543014308344828,
      0.35443194698867,
      0.430557409072312,
      0.502800661166561,
      0.0593420575416565,
      0.33765580459197,
      0.483432753315615,
      0.618880948075574,
      0.274411042232165,
      0.594619578949678,
      0.600781330142932,
      0.35476490765701,
      0.530755049002775,
      0.312815322156696,
      0.253486113106134,
      0.488574602129702,
      0.476008244510552,
      0.649855083868206,
      0.628630261663245,
      0.599019889805568,
      0.504090217964496,
      0.536981311188476,
      0.567812029784728,
      0.501664827842003,
      0.35878720407961,
      0.475456074969044,
      0.577102638673141,
      0.280312899720257,
      0.564190539496498,
      0.415736672148267,
      0.345501213983976,
      0.313936197805256,
      0.443193715560684,
      0.477282035282215,
      0.418160643890002,
      0.349005675962154,
      0.490029191817924,
      0.656431869963216,
      0.468415263279263,
      0.4221833094332,
      0.523312455634277,
      0.515358678805757,
      0.442888859536283,
      0.411556579635849,
      0.579618291197928,
      0.336910305090617,
      0.412373357205786,
      0.273001242050553,
      0.617713771786795,
      0.469792578903762,
      0.479241746574031,
      0.486051619726148,
      0.510372653138482,
      0.45343021800251,
      0.335250161964528,
      0.54339422564574,
      0.578508035781911,
      0.498360755355841,
      0.310993202913399,
      0.48523736298973,
      0.310774009591828,
      0.573105153442778,
      0.54443239855634,
      0.499078452575077,
      0.612533638382873,
      0.499905011972225,
      0.456946675176699,
      0.539204504978388,
      0.55146043886567,
      0.387474977280316,
      0.530652309919556,
      0.48075625813136,
      0.559919933647526,
      0.525420693663534,
      0.334330322920143,
      0.427081431684447,
      0.590569045305129,
      0.582834633486706,
      0.59758976927663,
      0.398167202995125,
      0.430013269542823,
      0.566699040848666,
      0.602875619969656,
      0.581023304203574,
      0.507005427997201,
      0.676277474226542,
      0.46584813242498,
      0.058235227298194,
      0.280935892300303,
      0.263426690682759,
      0.364089610305342,
      0.242636552803653,
      0.228012901131778,
      0.494359180196533,
      0.472327503684446,
      0.575666772709113,
      0.467151282300749,
      0.629779552705569,
      0.590162831695561,
      0.505004893430242,
      0.334784235048957,
      0.612549061536573,
      0.593386535676899,
      0.393923282290022,
      0.371281354612847,
      0.494810541928175,
      0.572405224764713,
      0.102295322555425,
      0.413296830670764,
      0.377510786269069,
      0.366082481569644,
      0.567261860151523,
      0.57919015445771,
      0.266171901386288,
      0.343658035988978,
      0.627886977658183,
      0.445493615591152,
      0.521767950803513,
      0.317515661561537,
      0.381942281261919,
      0.622896033029943,
      0.550816029420192,
      0.374355623031843,
      0.519437453307955,
      0.68454921694381,
      0.583904542849392,
      0.287942313505382,
      0.587555555366545,
      0.523208018111732,
      0.300267406041774,
      0.159238508254427,
      0.340518157145749,
      0.683697043629096,
      0.653908511210487,
      0.704594049269535,
      0.58941918270541,
      0.38534841492957,
      0.474587495523628,
      0.346590198086861,
      0.350154313084041,
      0.598296242591764,
      0.418325071474095,
      0.678551454946851,
      0.422914093600203,
      0.41977286218488,
      0.295342384145528,
      0.493684865391534,
      0.260594881108547,
      0.450413600011201,
      0.542475658316746,
      0.560237592991265,
      0.367564175013387,
      0.437032058227055,
      0.535055155754375,
      0.556604244170597,
      0.432531288534372,
      0.312157569051034,
      0.439469731071292,
      0.252103789212502,
      0.559969047303432,
      0.589629178660147,
      0.347145532116649,
      0.345419727986513,
      0.402364858558479,
      0.46809233149914,
      0.452615026181213,
      0.378828803639423,
      0.468695752605765,
      0.486241594938095,
      0.435394972709033,
      0.686095398532951,
      0.656373188653494,
      0.44504843909127,
      0.51500432030457,
      0.47763423864945,
      0.381606774509483,
      0.359194143334459,
      0.413321299731615,
      0.0929684244082926,
      0.406181262209298,
      0.509223504944098,
      0.638010437942203,
      0.303786107369545,
      0.567352538157999,
      0.622645469735623,
      0.358065086823602,
      0.476557976854131,
      0.412334238197297,
      0.260139686109458,
      0.436786359318575,
      0.503336675472017,
      0.64348798218959,
      0.683926027811698,
      0.619654580313106,
      0.441183087937478,
      0.573710432081808,
      0.39120202262634,
      0.466398152609053,
      0.349159574315397,
      0.342924689277456,
      0.666442048600303,
      0.263401877558434,
      0.460769675476701,
      0.475987358344073,
      0.304818917681486,
      0.387223949045327,
      0.529716009933477,
      0.486999871848252,
      0.422231384328064,
      0.47068654333242,
      0.513438724610063,
      0.605880822511482,
      0.454805342736008,
      0.495551886105011,
      0.557400045350652,
      0.576506449634545,
      0.588033582850642,
      0.445344654595221,
      0.704664104257465,
      0.450232142063255,
      0.501097688126039,
      0.451791061903374,
      0.660892890311877,
      0.507328881000545,
      0.565478701784481,
      0.516280600708959,
      0.517376215155267,
      0.41028355654999,
      0.603154608634897,
      0.630402283225821,
      0.551168188189761,
      0.561683985483704,
      0.380221575580456,
      0.570939063416521,
      0.58525022661614,
      0.594563669549721,
      0.493897497599102,
      0.47822415817521,
      0.62369884566883,
      0.502651116583689,
      0.324056414657047,
      0.519439303814163,
      0.48724227253413,
      0.389955707621974,
      0.496808630766907,
      0.537320705366074,
      0.581471480851707,
      0.488825749332203,
      0.319808336137124,
      0.174143558952443,
      0.611268532952557,
      0.596613776578186,
      0.57745501687789,
      0.410382949970884,
      0.342733529563112,
      0.39865749804432,
      0.602919179117901,
      0.328651731804115,
      0.344248957291086,
      0.136307340790903,
      0.460800267482469,
      0.342599779944947,
      0.378456918157939,
      0.560581002409248,
      0.206041030285933,
      0.688219165416328,
      0.397572366554998,
      0.505050474066467,
      0.361262151533937,
      0.283543930621666,
      0.476609263541627,
      0.558343455028218,
      0.335997813797728,
      0.375961912476645,
      0.332960065605973,
      0.285648762581862,
      0.46278387992039,
      0.388139030674937,
      0.585552277991158,
      0.624329154075626,
      0.375362103081284,
      0.183117314754245,
      0.307028164669897,
      0.196381856978365,
      0.217654563483009,
      0.336464250711297,
      0.256816957369959,
      0.553188044658452,
      0.239118964232859,
      0.540277123028008,
      0.500447248931262,
      0.307795356363808,
      0.20049474500391,
      0.435121932275144,
      0.342634588943339,
      0.485861657483581,
      0.314172456961287,
      0.207737527593969,
      0.299610296146791,
      0.384160043117444,
      0.456285557350433,
      0.447741455001698,
      0.373827863384066,
      0.143335748402184,
      0.575873871512988,
      0.367460894295197,
      0.224063164057312,
      0.245053456759004,
      0.346040639592982,
      0.485954088114625,
      0.443756079252545,
      0.401751870840292,
      0.38796771375428,
      0.381305693108716,
      0.153485618054922,
      0.399007629498773,
      0.506942358662058,
      0.455865526817659,
      0.425271700101563,
      0,
      0.336484669883547,
      0.57081388828676,
      0.542884301954196,
      0.47876141020838,
      0.350980417080743,
      0.610599560116039,
      0.39346870237869,
      0.322415484602571,
      0.317407918862209,
      0.319852016544502,
      0.438634512759346,
      0.260006524567296,
      0.119260656061,
      0.513944558559229,
      0.292496398863526,
      0.59355891281571,
      0.535236831948038,
      0.433637182098841,
      0.299745702482015,
      0.579039958356238,
      0.259450462461993,
      0.531723880484265,
      0.517529849012423,
      0.536660805685188,
      0.584156727155925,
      0.646619753559334,
      0.381275470903615,
      0.523563027829943,
      0.372800166005204,
      0.257488229608715,
      0.165565685068092,
      0.311863603044392,
      0.659938568481613,
      0.262570069576559,
      0.363942464670114,
      0.358180491946665,
      0.270931639300394,
      0.213297572786569,
      0.553118320209781,
      0.198420009078004,
      0.442936394273722,
      0.311317741002902,
      0.440458103351988,
      0.534029553373588,
      0.382374462865886,
      0.393243914441588,
      0.428869162878383,
      0.524751654297148,
      0.342221816896168,
      0.37993202214323,
      0.411992867519531,
      0.446728263958124,
      0.383538506041058,
      0.194289934497372,
      0.547304180032565,
      0.286105812928553,
      0.433984059034868,
      0.48117691553163,
      0.445081006272957,
      0.327184949124086,
      0.393275393242446,
      0.424598835490923,
      0.527928433342249,
      0.467877025168558,
      0.336126939143926,
      0.487382705096219,
      0.373832316964123,
      0.457457402497144,
      0.526877173906081,
      0.455809570843079,
      0.547424750003207,
      0.509995772121439,
      0.377332953962201,
      0.440169286751504,
      0.58821052470303,
      0.258962847541567,
      0.502449225563645,
      0.466149517238171,
      0.465317086297172,
      0.443427622135984,
      0.260862529596107,
      0.504283336028173,
      0.429032294644806,
      0.523875737012625,
      0.504755934752142,
      0.449858681519403,
      0.428358728676609,
      0.542242363562835,
      0.477164181690783,
      0.612448216811397,
      0.622335522967244,
      0.358289995093022,
      0.457951857177022,
      0.214642752019152,
      0.692795741220884,
      0.602292493450583,
      0.290720480151134,
      0.0985422516698365,
      0.0126040329523078,
      0.39965689873673,
      0.519157524231452,
      0.30387151289931,
      0.273502484147385,
      0.420679149959584,
      0.356104740355617,
      0.492041287375414,
      0.342810054874649,
      0.418504003120395,
      0.457793230285138,
      0.311364039948598,
      0.268821688850429,
      0.596581623959982,
      0.551902759733357,
      0.300837719773977,
      0.36621651590449,
      0.268358295353472,
      0.437453937989239,
      0.389600221470393,
      0.598026507595088,
      0.446121320981594,
      0.13846590937735,
      0.431152822627965,
      0.367807950202706,
      0.285111518353957,
      0.349056987331097,
      0.321650253688328,
      0.435988652744322,
      0.531409994313485,
      0.575367661802872,
      0.463522925147638,
      0.485422320901924,
      0.369383793137391,
      0.48877037508756,
      0.337006175720682,
      0.173312778070077,
      0.243752237183037,
      0.0854132236456111,
      0.498338124764417,
      0.504766437991442,
      0.471130402941254,
      0.583248738931073,
      0.681025342953732,
      0.182333538329438,
      0.492277462783362,
      0.260944302315971,
      0.425939528030202,
      0.37671147497303,
      0.616365002022216,
      0.593108847010014,
      0.512618242419932,
      0.295478014572053,
      0.0782153203836781,
      0.581526165943948,
      0.320126038577101,
      0.414047830566922,
      0.467113283847073,
      0.467189354179037,
      0.446577347869262,
      0.66719351973571,
      0.28230956411405,
      0.485646924986162,
      0.477825500050048,
      0.489004302481875,
      0.436316526273969,
      0.345712099797282,
      0.483236379061638,
      0.526063367764714,
      0.252478080190802,
      0.490125775527009,
      0.381308077704596,
      0.336443710559508,
      0.304361750387704,
      0.289400444755307,
      0.468336905603512,
      0.388278423034812,
      0.507637259746693,
      0.593128735096017,
      0.634347442645072,
      0.404700431030469,
      0.63207430143671,
      0.460550242962565,
      0.357171401818941,
      0.271680827421918,
      0.384740037947866,
      0.115605434995644,
      0.338618024757049,
      0.416032533454727,
      0.644740245298116,
      0.233527529951916,
      0.563166554001886,
      0.580398192607543,
      0.306665062874113,
      0.444509463944762,
      0.42335254756133,
      0.274945328556863,
      0.550580860904519,
      0.548621241330447,
      0.600670857266497,
      0.560701663131255,
      0.572003427087873,
      0.350011929295728,
      0.519435308878334,
      0.526549628562578,
      0.501921974211647,
      0.418694961969576,
      0.328677527505304,
      0.615663440320401,
      0.302142240297426,
      0.424178506909456,
      0.425258927812188,
      0.376629402936945,
      0.267157115825814,
      0.389255164162934,
      0.458545048933931,
      0.411989921403696,
      0.379859373263603,
      0.484886950557363,
      0.589255074319288,
      0.411833352718001,
      0.30495150203625,
      0.434446392579281,
      0.600309935990613,
      0.32741796052319,
      0.380426354421696,
      0.516858526632378,
      0.288549407189127,
      0.33368325690738,
      0.221509648404117,
      0.57970945216362,
      0.394952799219172,
      0.336105211850373,
      0.442202599131545,
      0.492890970364248,
      0.316578885192209,
      0.344374656994018,
      0.570532889214702,
      0.527601054014139,
      0.464768366724408,
      0.253001047278036,
      0.599038064802355,
      0.329576697663829,
      0.513317748335381,
      0.485690698454256,
      0.466724920080659,
      0.532014854232456,
      0.420231809688987,
      0.459586169204496,
      0.420224725095856,
      0.578358602529498,
      0.276453648580566,
      0.549918015477631,
      0.31374408309266,
      0.477388169290773,
      0.580130803161183,
      0.271588717945413,
      0.455872358622441,
      0.539887969861213,
      0.510702916734261,
      0.531043581851724,
      0.322507477115788,
      0.404154414827616,
      0.5084849617687,
      0.529037526841062,
      0.449735558802405,
      0.56618339903242,
      0.617644154791159,
      0.525320662409356,
      0.0455737538764714,
      0.261006255426084,
      0.215483934373235,
      0.298613692270103,
      0.214367371235619,
      0.135282145783718,
      0.420858352263648,
      0.506108531965001,
      0.411305734297569,
      0.344195229033807,
      0.527879229015756,
      0.681503032347884,
      0.440765780108536,
      0.333296263795957,
      0.627147987572072,
      0.52865301669011,
      0.323048409079869,
      0.321405318653505,
      0.522665593878896,
      0.461048030013542,
      0.115308417379794,
      0.344943839781354,
      0.350764834755531,
      0.381501951463949,
      0.502342505657581,
      0.527681357767472,
      0.323763415509421,
      0.218710830352471,
      0.679014599337227,
      0.478527936116254,
      0.484147789006023,
      0.311936162236543,
      0.308941576915366,
      0.626466871966105,
      0.563696916879249,
      0.316182696449046,
      0.474620037169422,
      0.628217002963554,
      0.555276387659231,
      0.238657110429126,
      0.516951392941408,
      0.449268839096074,
      0.202625356099382,
      0.159957327190027,
      0.300124637193804,
      0.576898928189021,
      0.629788207257992,
      0.637861136467376,
      0.556375541897729,
      0.217373598207838,
      0.47433022961707,
      0.338509614953921,
      0.28653696989902,
      0.515616867756274,
      0.390189189489235,
      0.606998171658609,
      0.44675919329719,
      0.401266077347012,
      0.291270607240843,
      0.621571870224477,
      0.342850538631641,
      0.419425927256326,
      0.472070385653941,
      0.482648552212077,
      0.284382724769293,
      0.426576900476623,
      0.553337933825035,
      0.466679959388908,
      0.446686512892183,
      0.299670190543672,
      0.385032188665579,
      0.173742262164134,
      0.483773654366369,
      0.515726004512556,
      0.277324830612946,
      0.33902549274349,
      0.319352859993662,
      0.405548906640783,
      0.431269952865534,
      0.391775941737204,
      0.425195691099537,
      0.461844562944237,
      0.437266651096062,
      0.601565554558131,
      0.66740885646889,
      0.410766399335073,
      0.585441565382719,
      0.408667852075,
      0.382085190693403,
      0.251318369031539,
      0.283682787633534,
      0.0742024918066143,
      0.377349579716329,
      0.439227413621178,
      0.671851486157399,
      0.266406911134315,
      0.531739458643871,
      0.602941573378356,
      0.350956108692616,
      0.459566807037845,
      0.513277485422575,
      0.265701032964536,
      0.474927415731015,
      0.628145047751849,
      0.603255716756735,
      0.565314880250214,
      0.542186561349232,
      0.35859957592623,
      0.578503485938762,
      0.347173275659212,
      0.455221835904337,
      0.264521269490544,
      0.229420345710506,
      0.688451842273479,
      0.290309370053562,
      0.432041731862856,
      0.454556688123325,
      0.320472724100989,
      0.299856277621451,
      0.451337805576452,
      0.475993055408676,
      0.408301594114768,
      0.564916230305127,
      0.554662431536752,
      0.524730122080185,
      0.405262903910949,
      0.462385029055582,
      0.499138623123498,
      0.642424599752569,
      0.511757851485043,
      0.359275973066543,
      0.66986548885785,
      0.326145176185401,
      0.473953688961402,
      0.599662429890053,
      0.626527705472722,
      0.377746503145993,
      0.444044888969401,
      0.45775934111433,
      0.427848414119487,
      0.308732504639912,
      0.530133771606979,
      0.550243772092616,
      0.467296311783218,
      0.523223022771381,
      0.325538585820548,
      0.530934397142454,
      0.508451426949728,
      0.524678471109051,
      0.45379756519214,
      0.524108145704174,
      0.541249765152178,
      0.381506986448148,
      0.382884725124629,
      0.506587194701754,
      0.526866350074374,
      0.263652572478103,
      0.581677674378303,
      0.15265854562222,
      0.494153222485298,
      0.588087867043972,
      0.291283988593084,
      0.197147092766522,
      0.53177634690774,
      0.517196203433921,
      0.513446619834708,
      0.338274504088403,
      0.369127361597619,
      0.300792926568348,
      0.528980785350725,
      0.37493948874662,
      0.343119381862122,
      0.129544433568063,
      0.496170827396854,
      0.349961272467768,
      0.370758559340061,
      0.504818150649965,
      0.186681579874052,
      0.625886298187438,
      0.388596012629087,
      0.529447316393744,
      0.293705723494576,
      0.302815346052547,
      0.420128789275248,
      0.481233455653339,
      0.270850841913665,
      0.334153245378561,
      0.301274721823984,
      0.203745945533432,
      0.425679379712879,
      0.371486172698107,
      0.456221987281439,
      0.629963138513762,
      0.364975074719281,
      0.219378306412046,
      0.358917888742128,
      0.229910967984462,
      0.167794013490598,
      0.294214896079235,
      0.428321022470292,
      0.544351360303751,
      0.217130588285783,
      0.530847371413474,
      0.451690450553626,
      0.400223974189747,
      0.169792745936286,
      0.375705670182846,
      0.326212205863407,
      0.614607608977595,
      0.240392809990697,
      0.250205101353488,
      0.3155179963645,
      0.365196461767073,
      0.379111160590098,
      0.41821189899617,
      0.459843885090008,
      0.180493955575802,
      0.543800113196532,
      0.337678432660561,
      0.181810192349909,
      0.209435085137695,
      0.231894467870446,
      0.525390970304117,
      0.380534066011811,
      0.330449303393581,
      0.363182287696047,
      0.306640674337683,
      0.176804711492763,
      0.350579825992518,
      0.446369374101165,
      0.38852199698283,
      0.463390723472012,
      0,
      0.477586126763657,
      0.427351881581909,
      0.320630695849663,
      0.406932252462696,
      0.122673893272973,
      0.48499142602284,
      0.272609140796193,
      0.370903957154503,
      0.223365599626375,
      0.267305033309855,
      0.263211125620607,
      0.459662359945697,
      0.245159748240694,
      0.346302580468448,
      0.410045145499562,
      0.465465401930938,
      0.235741793234585,
      0.433843367148233,
      0.219793142569688,
      0.693179617899663,
      0.356970078166755,
      0.366299429690238,
      0.553129688440491,
      0.26186478376349,
      0.500004443494837,
      0.473732231309505,
      0.413667266085643,
      0.54561505440806,
      0.340898433060259,
      0.422421135739416,
      0.309693542629691,
      0.237583122141224,
      0.601432908190597,
      0.310413597841665,
      0.181778507635739,
      0.19416904507003,
      0.582161167991232,
      0.153748393147372,
      0.322014115554552,
      0.261677660534514,
      0.318343019821627,
      0.486116885180498,
      0.418033361908763,
      0.221857468726094,
      0.529627784317324,
      0.155245966748487,
      0.244622352818213,
      0.449966341457829,
      0.14379395238633,
      0.422544157817216,
      0.481994261925728,
      0.45752167156085,
      0.491324912488872,
      0.345535424319717,
      0.476526259958346,
      0.365771028889854,
      0.227579240131893,
      0.436995748139839,
      0.28968022291893,
      0.101849846847112,
      0.513108154972397,
      0.25335755862578,
      0.623259845491201,
      0.360016662799079,
      0.138225068700173,
      0.439414453297337,
      0.44658213297963,
      0.270761947726978,
      0.399712969918183,
      0.446400434137845,
      0.308457220773526,
      0.438277771765625,
      0.59615815384295,
      0.522695218312462,
      0.413013304477217,
      0.425891537646601,
      0.489733085314871,
      0.425743212750472,
      0.297110543690414,
      0.331418570862137,
      0.356961853277738,
      0.585466964624531,
      0.46226294683963,
      0.211170111919715,
      0.382316288414395,
      0.315382535587432,
      0.271824897547975,
      0.293440985275618,
      0.306207063392742,
      0.441123672405809,
      0.54047853087672,
      0.438017079105955,
      0.496821468751087,
      0.13638666269353,
      0.651242177299309,
      0.28865499431364,
      0.149415018676119,
      0.0479930860706296,
      0.300445266663009,
      0.299342697015789,
      0.534090557595303,
      0.447249882068435,
      0.508276102465448,
      0.316931158750469,
      0.40182324632079,
      0.317153274097675,
      0.445780257520756,
      0.502311874017361,
      0.258965097982752,
      0.28075799136673,
      0.123625175037705,
      0.559635930922656,
      0.515470183758327,
      0.569093203402086,
      0.288621907619845,
      0.294852527529951,
      0.305776687235199,
      0.38159052755223,
      0.241299143374637,
      0.427982979132456,
      0.338383168840947,
      0.229031402917438,
      0.507700788748874,
      0.477165967740808,
      0.307816815353983,
      0.251168182769669,
      0.299668107362997,
      0.339134404726474,
      0.531207716645779,
      0.480186821829927,
      0.549361086995646,
      0.336347564377197,
      0.34090118139818,
      0.314048417535155,
      0.111883834497004,
      0.245565483585966,
      0.30186482860262,
      0.439110712564216,
      0.369056636518035,
      0.361480601194603,
      0.242852617890635,
      0.585329039668057,
      0.420747518266743,
      0.293006448494325,
      0.415609520043199,
      0.240202200212323,
      0.236888919210762,
      0.46610875457771,
      0.60606680305188,
      0.59630949719774,
      0.271336144363111,
      0.27605798553374,
      0.660194873196304,
      0.37658540038918,
      0.298184522052317,
      0.271450737250084,
      0.222874667782405,
      0.232837783345211,
      0.586571476077766,
      0.441206528093059,
      0.555477415752246,
      0.525780742189195,
      0.505904951245084,
      0.543770201068055,
      0.412141819268821,
      0.221195894771944,
      0.290004628616856,
      0.1300400335385,
      0.527256593998292,
      0.329914833282114,
      0.306519641768483,
      0.389894182129034,
      0.394369945024118,
      0.383597439667921,
      0.535103022896637,
      0.434028727098999,
      0.351980184380064,
      0.44726649009387,
      0.266218243895116,
      0.551375590876975,
      0.267780990670206,
      0.388146493451978,
      0.27202116588815,
      0.360073087695684,
      0.117137473321544,
      0.450182869641188,
      0.29929797259322,
      0.481424175707742,
      0.295841036993477,
      0.304262540123012,
      0.401786004983111,
      0.502127838760535,
      0.382959614998916,
      0.57054401860653,
      0.27543896577484,
      0.387481925428829,
      0.622740161160226,
      0.297437515451473,
      0.597098981993852,
      0.399700264671349,
      0.434181346549368,
      0.568371726521962,
      0.45104136227695,
      0.480863694083438,
      0.418742807768352,
      0.177009326997338,
      0.617935882262508,
      0.339725844567451,
      0.375495278202743,
      0.404780131701052,
      0.618398665173051,
      0.192044857859848,
      0.348001084109272,
      0.32929327537377,
      0.250080367779265,
      0.513545519372488,
      0.444277255727844,
      0.565777077561466,
      0.51015810592437,
      0.175061703001135,
      0.299852798444007,
      0.511545995416476,
      0.225527447174987,
      0.40651232694193,
      0.431599725473293,
      0.476306267544907,
      0.452478626627489,
      0.328712027629407,
      0.517263510627185,
      0.37035127822303,
      0.180483335153843,
      0.341616633792709,
      0.326556990922518,
      0.118572824417515,
      0.510059244089816,
      0.480591177212046,
      0.522875959518883,
      0.409621203278626,
      0.140618908764413,
      0.511917250529086,
      0.504194860367024,
      0.268326324245394,
      0.392145471113667,
      0.363697056872526,
      0.209857290453826,
      0.488334073586888,
      0.582430840383731,
      0.537907137887723,
      0.393795608715434,
      0.387503944804232,
      0.482571049816951,
      0.443347932708257,
      0.264446367906046,
      0.418958145632112,
      0.34749692582751,
      0.428581250019064,
      0.449067335876058,
      0.225268593800164,
      0.433794518999198,
      0.110653070821462,
      0.280005644101702,
      0.432525536370617,
      0.259330591066062,
      0.315843152401037,
      0.614093481547202,
      0.575698894019411,
      0.610167625091632,
      0.0952616745777309,
      0.269078299389273,
      0.283262188355194,
      0.188356442284834,
      0.16775318503163,
      0.222059303494698,
      0.281087736486007,
      0.436550108212382,
      0.535822987759831,
      0.540495292599156,
      0.467540797095012,
      0.69239104166504,
      0.330338746761303,
      0.481067463198798,
      0.610874618535768,
      0.302579620164214,
      0.163562991517298,
      0.159717298799363,
      0.569742751307082,
      0.31089323283391,
      0.365835416660579,
      0.379815061499301,
      0.36623148345507,
      0.356824464351068,
      0.39936305812106,
      0.328533578526649,
      0.211588478216741,
      0.275944432581009,
      0.611919035022915,
      0.471185689842884,
      0.54228873260447,
      0.262635034568194,
      0.258853099280952,
      0.496376879896394,
      0.455668529745329,
      0.385292530078484,
      0.451541764633164,
      0.541541862428297,
      0.444178207870058,
      0.147444139105794,
      0.37219699540358,
      0.208635345216388,
      0.440445619732579,
      0.286271056100473,
      0.360876970863219,
      0.453404461033831,
      0.510799406645241,
      0.552316020610994,
      0.595800489201329,
      0.430402285871653,
      0.30993874271811,
      0.41638791046618,
      0.152170902885853,
      0.361311818920253,
      0.49155153070984,
      0.483943479847521,
      0.571691129708578,
      0.441689691127247,
      0.496326432388527,
      0.657593115952042,
      0.451278793308606,
      0.325145354738427,
      0.282938273556628,
      0.252912039739011,
      0.147486582882304,
      0.360782259874978,
      0.447336422726947,
      0.53659283016494,
      0.476201376825423,
      0.433449401544324,
      0.42502228697586,
      0.473315654198202,
      0.188256094117506,
      0.196585492827549,
      0.196651069802533,
      0.35976771383569,
      0.268007316690468,
      0.328998110779196,
      0.468000646440077,
      0.482514272702195,
      0.338442631270014,
      0.511087029267785,
      0.388953688106211,
      0.418980578370132,
      0.457803975772667,
      0.361443132031733,
      0.566067617173447,
      0.302931714652741,
      0.3466567121727,
      0.323071772852632,
      0.282950607928488,
      0.00802007400025203,
      0.448372822091224,
      0.35326752396021,
      0.491330756366197,
      0.310176680706993,
      0.305306047050208,
      0.52530661316327,
      0.450065840191021,
      0.382281965904967,
      0.611980627435488,
      0.410251166430275,
      0.308444253071999,
      0.644950854159883,
      0.356786503934479,
      0.515694212810448,
      0.379801468897846,
      0.461533961733562,
      0.630904241948661,
      0.355858904729431,
      0.481455087831989,
      0.31395279940486,
      0.271608940105622,
      0.66578372385873,
      0.379725870430384,
      0.444880947111233,
      0.500268461401023,
      0.584431237825572,
      0.293794761608226,
      0.325065105487968,
      0.371498463781119,
      0.264732308495682,
      0.598671404867916,
      0.427845913508448,
      0.457442560915099,
      0.469719359740119,
      0.307099911012681,
      0.534357399541513,
      0.502428336989285,
      0.228246251131323,
      0.455631512884639,
      0.380022134472526,
      0.515785377259994,
      0.470055520875398,
      0.5463374706307,
      0.614835654198229,
      0.464366913489199,
      0.213730085123921,
      0.338335099594314,
      0.397499345011673,
      0.182459533598812,
      0.438190205201238,
      0.342326222211867,
      0.351551465830264,
      0.405002392005462,
      0.139204541244039,
      0.454951715294452,
      0.363731491895903,
      0.225719455644033,
      0.380443885654145,
      0.451531167761875,
      0.215387266770281,
      0.41133325824981,
      0.530814951198393,
      0.572838878503924,
      0.479072378899308,
      0.380318654585756,
      0.461239338564893,
      0.406481203812426,
      0.205523120987425,
      0.486961786907207,
      0.365278197111988,
      0.256812212643042,
      0.251707760570828,
      0.226158685440171,
      0.522304662249098,
      0,
      0.427968327722316,
      0.342396888972075,
      0.371285276102082,
      0.383374316037561,
      0.365818322553863,
      0.115731613900612,
      0.529490890288057,
      0.486643672694356,
      0.380509093676468,
      0.360355390914717,
      0.206595728888049,
      0.547807466192785,
      0.537402672959813,
      0.53214957626393,
      0.197497054610443,
      0.413103514884505,
      0.197846091164846,
      0.544830565834287,
      0.335643807966577,
      0.39718212610193,
      0.317861026607661,
      0.0906729272463355,
      0.20642605653887,
      0.49374101849772,
      0.28104248016023,
      0.506085883389911,
      0.249679479232524,
      0.351546244567123,
      0.455366651593646,
      0.35390621409407,
      0.246771964821642,
      0.254909010418637,
      0.466683743292969,
      0.497515632533957,
      0.258905156757777,
      0.482932602483504,
      0.559119671578544,
      0.650656212229662,
      0.40776443530754,
      0.279111805573186,
      0.347264608177515,
      0.608951223706882,
      0.132795005824469,
      0.294823373785791,
      0.358003068975645,
      0.501399351440761,
      0.288104999201743,
      0.440246269737713,
      0.349576130948552,
      0.212434176965041,
      0.368018132915524,
      0.398269115757165,
      0.248174894216634,
      0.303887133931207,
      0.234583130096069,
      0.602620298767251,
      0.369595968733527,
      0.26217470681039,
      0.353017299323212,
      0.265705129791625,
      0.140406664907375,
      0.530260861300177,
      0.306306773523435,
      0.186338199400223,
      0.262853301011351,
      0,
      0.633971437792777,
      0.32975947161301,
      0.227562762092403,
      0.484025728544035,
      0.123352699498623,
      0.586284045515743,
      0.393001699446834,
      0.486190901360881,
      0.410599305211801,
      0.406406470436564,
      0.162250355252472,
      0.553705404816417,
      0.36601280775206,
      0.125245344490311,
      0.468791337713677,
      0.229578035690461,
      0.1647477260455,
      0.577573752329647,
      0.210689638746343,
      0.697794962814769,
      0.526517137465572,
      0.181242386388871,
      0.714952227843222,
      0.266816767657021,
      0.514341620382044,
      0.271881463350666,
      0.702468895038215,
      0.590314436010395,
      0.511337931582491,
      0.514317013788724,
      0.454328082430991,
      0.303506499363448,
      0.359831173269351,
      0.323780087739404,
      0.178532894689562,
      0.215600303805743,
      0.743501222940306,
      0.260194297003639,
      0.206479948191644,
      0.299612526729593,
      0.260901003464276,
      0.481292984563114,
      0.399781094917302,
      0.144250722979227,
      0.626548705805367,
      0.203298240775095,
      0.188919016975964,
      0.470781270042174,
      0.148627158190125,
      0.36762095484302,
      0.524552254249741,
      0.424775624118732,
      0.557745519059201,
      0.425677835743022,
      0.528260858496815,
      0.397950946324534,
      0.273730489180056,
      0.293401115123292,
      0.251259328079792,
      0.0817470718172034,
      0.644001450941972,
      0.369638272950565,
      0.565370321197453,
      0.462991503416808,
      0.0955108275848975,
      0.337520878069872,
      0.520066751298076,
      0.367371847476254,
      0.498414716313527,
      0.475673200419334,
      0.245713794275517,
      0.338181426428108,
      0.600074277205873,
      0.598188522792091,
      0.590427967208122,
      0.515722730404292,
      0.505477426120509,
      0.488448812970621,
      0.341004761109044,
      0.333486817687326,
      0.440961302509143,
      0.519272183739699,
      0.597455297787393,
      0.290207228461673,
      0.326662023731609,
      0.340285916028977,
      0.357120437599169,
      0.357204951034872,
      0.264719758788715,
      0.349841659976083,
      0.437251627252991,
      0.596247986130647,
      0.446272186686057,
      0.113286533739241,
      0.545710818156775,
      0.364482705572125,
      0.256718044886781,
      0.196845658020016,
      0.441289407389935,
      0.398036742303472,
      0.491184973517865,
      0.582104299783478,
      0.634557178546318,
      0.371288499709726,
      0.469843937491537,
      0.301383953431277,
      0.504172386856445,
      0.565024446390839,
      0.242305874554439,
      0.385891008457589,
      0.137160638349718,
      0.524891543354044,
      0.435760681737282,
      0.699139001676998,
      0.243613218757457,
      0.275556710001965,
      0.356456712805655,
      0.384251523704087,
      0.256243539099722,
      0.312670164141353,
      0.457152654433697,
      0.303161224313065,
      0.628187710841392,
      0.606750635698246,
      0.432697193583043,
      0.370832377277557,
      0.41597729865918,
      0.411671375445059,
      0.597317955277608,
      0.549823597880532,
      0.595705476996801,
      0.353813912164421,
      0.282844500701096,
      0.330622452257626,
      0.0196296123867594,
      0.205887869524217,
      0.428914915160252,
      0.47757870859958,
      0.377089104408864,
      0.299132526961363,
      0.289981966631205,
      0.575526528879273,
      0.535645254149175,
      0.307607810150612,
      0.550404793763268,
      0.253635048304093,
      0.345616319871128,
      0.357444728348561,
      0.669884783269066,
      0.596648078676674,
      0.393110532170376,
      0.403072225286071,
      0.606834782283102,
      0.481305952241182,
      0.384950771295891,
      0.401643696033953,
      0.392223592140275,
      0.159687599649133,
      0.467652286872469,
      0.502821668428518,
      0.595406489755106,
      0.593721592187899,
      0.540466629259274,
      0.603979229438637,
      0.552516360359722,
      0.289546447480924,
      0.313303492658392,
      0.296261234545477,
      0.485707895280058,
      0.441546287297802,
      0.397861242782943,
      0.476290329684573,
      0.510460425326574,
      0.434067194567711,
      0.646966408857011,
      0.541043405087787,
      0.34741190509827,
      0.445471025922016,
      0.199389295056942,
      0.62686020347718,
      0.333264283547232,
      0.465249405462636,
      0.49398264574002,
      0.45892433026641,
      0.146445847268357,
      0.551053056917862,
      0.405365521083702,
      0.373757179702425,
      0.488888017420733,
      0.332055039034596,
      0.546051616418479,
      0.56917638992874,
      0.508380761979795,
      0.705769263055564,
      0.520389650855271,
      0.198441291789102,
      0.695858720691355,
      0.349486918235008,
      0.569899746185983,
      0.260505458610952,
      0.612911386191354,
      0.596013066559991,
      0.431865389086324,
      0.506919932964411,
      0.548701175100845,
      0.381181404237339,
      0.438576387409034,
      0.452809614921131,
      0.347329966779035,
      0.3130076203158,
      0.667778184011172,
      0.268465183056692,
      0.323664062887917,
      0.439506899720956,
      0.278094072087796,
      0.674157092450343,
      0.366303559448977,
      0.599462716698923,
      0.623140405394875,
      0.307636609675053,
      0.316258155686658,
      0.477463582000497,
      0.205434314370544,
      0.436260020792606,
      0.506759068058137,
      0.56180235029839,
      0.595456523546409,
      0.31444469678967,
      0.528119788620553,
      0.463316160277053,
      0.254613857459751,
      0.2174436570799,
      0.256082482378604,
      0.0913466023642292,
      0.622607862835036,
      0.398359115871391,
      0.502318269922818,
      0.502839814234748,
      0.142743643286901,
      0.418593277482811,
      0.558752271413247,
      0.361581177364427,
      0.529327217893751,
      0.478324652990288,
      0.128355865707867,
      0.472769773270622,
      0.574789833928002,
      0.665602715616118,
      0.578473717369353,
      0.409586855678888,
      0.521180025674329,
      0.558491073472794,
      0.292191453656091,
      0.259346315458756,
      0.490351932126832,
      0.434902635491244,
      0.466798911919303,
      0.275889447410394,
      0.357753290339954,
      0.335647271886602,
      0.421676749648889,
      0.369643377492521,
      0.207133850920219,
      0.258941712900963,
      0.565385271257669,
      0.588600233108497,
      0.551052657000781,
      0.147097994120757,
      0.420866015078524,
      0.316634629974983,
      0.293502154259067,
      0.239318796733501,
      0.370388812974032,
      0.408861708805848,
      0.331361014841735,
      0.69658290126785,
      0.675457835085306,
      0.391311585823407,
      0.638779190095075,
      0.326869681927988,
      0.615666304282041,
      0.57980392544746,
      0.4250515099667,
      0.183809980112565,
      0.174414177714632,
      0.550455053808339,
      0.199343763456418,
      0.501713481946551,
      0.345067837120049,
      0.374688379175538,
      0.368857206010115,
      0.379290787820886,
      0.265675313546239,
      0.138858772297054,
      0.390139272929615,
      0.529675342565306,
      0.49445328456768,
      0.658635495840629,
      0.398709429909291,
      0.360786958052609,
      0.432952546710279,
      0.375224438825502,
      0.385602169825762,
      0.494580752375238,
      0.5553187956746,
      0.248145798923526,
      0.130720514551701,
      0.314012132255469,
      0.18902839127468,
      0.549469788065875,
      0.437172863684693,
      0.504236331349041,
      0.410701634601108,
      0.397783267557339,
      0.555665320695038,
      0.557960262306007,
      0.561381969443727,
      0.336348434198195,
      0.394557015965422,
      0.202407060794402,
      0.524226526173907,
      0.530017444894479,
      0.410834202967853,
      0.691842562789985,
      0.503061443648284,
      0.631553415426238,
      0.604588759636176,
      0.597293274357475,
      0.393769621616475,
      0.370586917373975,
      0.35640450371774,
      0.146072718581882,
      0.304875538207323,
      0.518813415070986,
      0.606949935222391,
      0.58310873255541,
      0.547750959827164,
      0.476557733694732,
      0.597453708276964,
      0.259889629641941,
      0.23435784675604,
      0.349255478695366,
      0.458085942016178,
      0.409319254760606,
      0.438151286260682,
      0.481634550255444,
      0.540074989879071,
      0.328987314267913,
      0.573622759054041,
      0.5995586536859,
      0.333058944174984,
      0.438178470321576,
      0.23224765076772,
      0.527397435475646,
      0.356243755331055,
      0.395696078127145,
      0.452712689266031,
      0.298185763053883,
      0.0764868271742042,
      0.543239091768239,
      0.41314061668136,
      0.334366429108325,
      0.471911230651006,
      0.265797277609729,
      0.571183757290323,
      0.551874906783522,
      0.515194968416107,
      0.708768907305884,
      0.479210637547754,
      0.260928080601181,
      0.647422313560523,
      0.42293491058165,
      0.495012156042874,
      0.274850727476027,
      0.637934138125123,
      0.616544006166702,
      0.453026197679299,
      0.520984638300411,
      0.527886550737368,
      0.342462273647446,
      0.464712594369348,
      0.548988729702988,
      0.461765476055049,
      0.454250539388049,
      0.617728192357155,
      0.30707592195457,
      0.334031134146104,
      0.461354466621072,
      0.292802039403757,
      0.685259418588503,
      0.431686509855181,
      0.406528410572866,
      0.595958129230284,
      0.34974282829945,
      0.519888022849529,
      0.491700245882276,
      0.192830177012404,
      0.527044621620346,
      0.433454626897645,
      0.593269445753411,
      0.519413347939365,
      0.382085277066327,
      0.577533131495968,
      0.563190998706692,
      0.17185735983223,
      0.290603235188263,
      0.500991473052859,
      0.281542943948705,
      0.604970175175243,
      0.288391157739339,
      0.423695570410208,
      0.525981264267875,
      0.208695498029772,
      0.33993400486037,
      0.472517429044637,
      0.228551540298996,
      0.519421774152527,
      0.424996496987571,
      0.206567789445794,
      0.501762584699162,
      0.537404982945217,
      0.657276196865625,
      0.585861543713565,
      0.415129436295138,
      0.517810488687282,
      0.517667257406949,
      0.248552121203064,
      0.227036865356686,
      0.502959433137256,
      0.449097671086201,
      0.321419776076225,
      0.273763807868912,
      0.495105646148088,
      0,
      0.48369816854643,
      0.300969887070002,
      0.588937498707606,
      0.436091377490729,
      0.432168392161366,
      0.133467534823709,
      0.525215218661279,
      0.488576940633678,
      0.421262557927737,
      0.381882758238203,
      0.265023641649221,
      0.467015968765268,
      0.536818691927324,
      0.447703913912196,
      0.241680465199419,
      0.472363672112151,
      0.154185619579925,
      0.615732550580728,
      0.391304886381869,
      0.533087514029141,
      0.314584156340687,
      0.0269185020675164,
      0.172415577883097,
      0.584244253717917,
      0.266131823108079,
      0.352485345041597,
      0.221092081396306,
      0.407180318922191,
      0.401593263458184,
      0.447546527114032,
      0.3469698470727,
      0.334984530876882,
      0.404766403952623,
      0.356069151007651,
      0.377530640506626,
      0.447631272377285,
      0.58354120082879,
      0.666542514747274,
      0.532918396702133,
      0.323138465133527,
      0.404272640111659,
      0.640359430443115,
      0.229065311756836,
      0.297680716278515,
      0.333415067055154,
      0.611888463158511,
      0.289330377110861,
      0.433280962560562,
      0.300564735070404,
      0.170656888243643,
      0.394660443353154,
      0.478226302733551,
      0.400632529362797,
      0.400587870479603,
      0.374885788252393,
      0.555881695967465,
      0.511839728407992,
      0.398227941017547,
      0.429069052330748,
      0.314495690215463,
      0.136757804094537,
      0.561912623286846,
      0.398847674492272,
      0.26598013553357,
      0.168943277557705,
      0,
      0.571220094695454,
      0.295683558337003,
      0.247898443704721,
      0.38015541341468,
      0.128134072245355,
      0.662917101630433,
      0.346852190275684,
      0.4522442313095,
      0.49328954781709,
      0.431258756345829,
      0.148089949859432,
      0.563369112642012,
      0.425966280967334,
      0.0953600013059882,
      0.57742500252666,
      0.27092843131486,
      0.119366292040871,
      0.642765779259391,
      0.208998025285555,
      0.667271699144417,
      0.565217255055461,
      0.242508395492207,
      0.679034140059777,
      0.199486380430715,
      0.497739532440823,
      0.236589569814744,
      0.720131726247672,
      0.579437576464953,
      0.548524104018664,
      0.44579896468695,
      0.400981932634359,
      0.291427061597923,
      0.317415352694707,
      0.347725055618285,
      0.287183254622728,
      0.138207716341211,
      0.722652151329363,
      0.247196391823092,
      0.219934978484494,
      0.384241874749284,
      0.214859005819202,
      0.351513769191539,
      0.389112517987187,
      0.155183238714337,
      0.602999931874912,
      0.127928911049194,
      0.241290556352403,
      0.44914521528863,
      0.102115906170692,
      0.184993995627297,
      0.452552258304683,
      0.417010769404325,
      0.5679345173781,
      0.358472286658626,
      0.453856953077693,
      0.347305778712406,
      0.204467574725138,
      0.247472588605004,
      0.199535633005948,
      0.134303651523942,
      0.568937972342237,
      0.284072992779384,
      0.572979668565064,
      0.381821017710031,
      0.119245029083452,
      0.273073168637274,
      0.450008210796022,
      0.337226507391569,
      0.50902302482303,
      0.572117540235397,
      0.334283374946241,
      0.338777841061055,
      0.371278472116602,
      0.539566381312586,
      0.628706641493643,
      0.449139743253785,
      0.478958428823435,
      0.447869841198763,
      0.302683169057932,
      0.329568098067975,
      0.40894354353185,
      0.587584631424983,
      0.555173593128621,
      0.256707571794128,
      0.279279243375969,
      0.313689995839259,
      0.266640517510845,
      0.404038757905709,
      0.275152315094031,
      0.281027335494865,
      0.376487548430806,
      0.519625916009567,
      0.453067784722555,
      0.147644169557253,
      0.338363626595526,
      0.286463238366518,
      0.202399158075464,
      0.147743805181378,
      0.355119677149648,
      0.310876970387318,
      0.480190979387946,
      0.49979584759956,
      0.541462516741399,
      0.325884501433752,
      0.4667221839519,
      0.338132581725552,
      0.458503224183194,
      0.545626917527526,
      0.1932285898182,
      0.29222918247482,
      0.0814892168363085,
      0.548078699214662,
      0.332546625046972,
      0.607392463554291,
      0.216627035141923,
      0.289968863272286,
      0.248462644833812,
      0.378104534699847,
      0.177089796355644,
      0.386546624950478,
      0.37308706518797,
      0.256739268634521,
      0.549533011400339,
      0.516512151921232,
      0.447676660332959,
      0.277274912028712,
      0.334010293656616,
      0.480490111472995,
      0.656502523067113,
      0.490074759892088,
      0.586144487056083,
      0.315376267050588,
      0.293916163862358,
      0.316770913451314,
      0.0268603577906701,
      0.154760503332408,
      0.333746375283212,
      0.420967333443166,
      0.352208246917303,
      0.214327945485869,
      0.293236647192515,
      0.499317018613912,
      0.430217443239859,
      0.288434057214808,
      0.469115315472013,
      0.176550175177481,
      0.299906341622542,
      0.313022356866571,
      0.593318518004873,
      0.56716868629772,
      0.352484368797096,
      0.312108293594253,
      0.481254946777031,
      0.466153646658553,
      0.345080825894547,
      0.321411345976038,
      0.387794423225877,
      0.183936119944003,
      0.365484170493613,
      0.389402821449741,
      0.53610115632012,
      0.515336638591097,
      0.447992604172075,
      0.497719769449126,
      0.480222005832428,
      0.38001242503465,
      0.21337420421665,
      0.32029594196029,
      0.510670524560674,
      0.403708164345356,
      0.319820138267276,
      0.561517264311941,
      0.425788029964346,
      0.381148976235377,
      0.618368458376118,
      0.48023341830632,
      0.336845327366148,
      0.387244387500724,
      0.172181876194581,
      0.663629893242812,
      0.307715994691477,
      0.35662995301624,
      0.529724211761757,
      0.436886016044655,
      0.167867431119919,
      0.539114976633789,
      0.374004267387075,
      0.398183004385943,
      0.519194536448048,
      0.348705245316476,
      0.518786666464948,
      0.565948860465661,
      0.420657353782824,
      0.725114765558872,
      0.511270468457234,
      0.26064317675665,
      0.650126669324645,
      0.374065628637155,
      0.58975795813154,
      0.325264098815983,
      0.663700665825486,
      0.659454719190712,
      0.41316982590613,
      0.451334869591432,
      0.517054888077558,
      0.403143148945964,
      0.51157971036483,
      0.389751227216269,
      0.341554088078581,
      0.347048991308654,
      0.662516409976358,
      0.29648263789264,
      0.317646095214806,
      0.471012958330233,
      0.248006097428577,
      0.670607471179176,
      0.439744230987346,
      0.593538383827097,
      0.569214733317992,
      0.292879306967693,
      0.319677094752569,
      0.479503493222856,
      0.182539628680403,
      0.306634942002395,
      0.45399519180691,
      0.448216746403529,
      0.581179609235775,
      0.224624295845215,
      0.516237880651655,
      0.420042860906709,
      0.35493672766084,
      0.281967098610232,
      0.247716159113963,
      0.136573834952197,
      0.559535243524905,
      0.318857854408053,
      0.490032094456401,
      0.406606853230583,
      0.230966638038405,
      0.383894657381928,
      0.467745821377941,
      0.312429063167545,
      0.490009510725696,
      0.552549408683143,
      0.19923725461511,
      0.352391724921242,
      0.422052250584662,
      0.623661987315318,
      0.638482643597496,
      0.353979838654721,
      0.442060437727673,
      0.512332134496577,
      0.295497038239576,
      0.272452188246816,
      0.415933311051315,
      0.43139974427374,
      0.43750389172572,
      0.214495064432239,
      0.399585838481181,
      0.339403617917242,
      0.437616809641851,
      0.365481472644943,
      0.238239593522789,
      0.17276657956698,
      0.474284073993245,
      0.544893204481437,
      0.56207521432685,
      0.124794959116894,
      0.353728140295349,
      0.264134586628888,
      0.200599086799909,
      0.281230329406738,
      0.298628377606538,
      0.333525398439507,
      0.285589197905543,
      0.643244648689643,
      0.586703867037075,
      0.397277549149078,
      0.582881993822424,
      0.330627249451812,
      0.551151891055649,
      0.523288588430591,
      0.364757716719774,
      0.11703788616497,
      0.167174341970161,
      0.540498876545274,
      0.193659123326257,
      0.41357489147289,
      0.321274497930797,
      0.367764963504694,
      0.325367346218597,
      0.325301110204304,
      0.191121020435931,
      0.150968708191922,
      0.33657507914206,
      0.420733510185649,
      0.55956070682214,
      0.649197027159104,
      0.425348578978345,
      0.278868345896012,
      0.436284686624466,
      0.34030145239188,
      0.341089794606076,
      0.418089746881522,
      0.558966654267171,
      0.345381697243503,
      0.0104346556436327,
      0.346379517929843,
      0.164642987202791,
      0.444496144886415,
      0.362778608223039,
      0.429505153663724,
      0.376935109623925,
      0.296862932645226,
      0.512511435773364,
      0.560061500483435,
      0.46874572204422,
      0.277038944471821,
      0.362751457305499,
      0.156614564402134,
      0.569327735242239,
      0.522882614409314,
      0.37470567759137,
      0.598215059036338,
      0.45105911994204,
      0.542659568057264,
      0.502847693342625,
      0.584421048030197,
      0.339448326486342,
      0.26184702190662,
      0.273836088637288,
      0.251713265269579,
      0.250245473459481,
      0.412942786046863,
      0.593617391989197,
      0.490835823852618,
      0.45366440230971,
      0.370809708859751,
      0.508146141230509,
      0.353842625217498,
      0.190870517939139,
      0.380638271621216,
      0.37729948308091,
      0.333331711936278,
      0.338076373540409,
      0.594236107001196,
      0.445555053856948,
      0.28011517972738,
      0.575438463582087,
      0.594573303485926,
      0.279722297411332,
      0.400880225124442,
      0.111254350446624,
      0.573442690597992,
      0.260331402224393,
      0.358310784536756,
      0.499326603741961,
      0.448935615776568,
      0.0936829632906961,
      0.523997643452304,
      0.420460058516103,
      0.257742805661977,
      0.46401324278045,
      0.387128174194248,
      0.540063293987481,
      0.581709983290319,
      0.436064855556825,
      0.696725707654466,
      0.629767836867555,
      0.283169674100811,
      0.501341476833095,
      0.465481515609253,
      0.495024209424057,
      0.327221998048462,
      0.620661275928959,
      0.638971278272194,
      0.436708655720112,
      0.446208773086406,
      0.554480567479543,
      0.374177186059279,
      0.519767987183412,
      0.526290544604735,
      0.476324607183036,
      0.482113045510337,
      0.651652477445101,
      0.308007909639353,
      0.327719561767305,
      0.602715293272283,
      0.294633198802116,
      0.680336759643267,
      0.518286311724439,
      0.431914173202359,
      0.5284738090195,
      0.35681394827659,
      0.399029824363348,
      0.490573725788378,
      0.262627796987828,
      0.425692449797928,
      0.413207443084608,
      0.482459854914398,
      0.464278530381226,
      0.232173514011316,
      0.593898366000915,
      0.489134397524263,
      0.280489098608598,
      0.25618234102331,
      0.431090126196944,
      0.249640562856016,
      0.605419898310765,
      0.207405553060299,
      0.349350135096108,
      0.44910646846684,
      0.201480505663588,
      0.366722643056928,
      0.483706623012942,
      0.260474572633828,
      0.458629731431533,
      0.433756946234187,
      0.214025446649382,
      0.396641567420279,
      0.406511372345733,
      0.609277637586077,
      0.551324282213386,
      0.350157970931458,
      0.467365516231348,
      0.520946851884919,
      0.216223068764799,
      0.190985074626378,
      0.421152383694182,
      0.420776966988566,
      0.358573985260875,
      0.18240480421975,
      0.503187359485623,
      0,
      0.434153859632983,
      0.33852804184098,
      0.579960412963055,
      0.37941566826857,
      0.408178469779719,
      0.305045815235114,
      0.530813979182763,
      0.419520700998034,
      0.349261295377607,
      0.458007712393987,
      0.336712250279659,
      0.424755245433216,
      0.586099817455185,
      0.376549735326347,
      0.204272832718605,
      0.426626546897642,
      0.169461392526544,
      0.615841710804429,
      0.320985726903361,
      0.454207750155485,
      0.277776295516215,
      0,
      0.183899582898297,
      0.465210105276334,
      0.243049254165687,
      0.460975427890492,
      0.26117615865276,
      0.364270085746568,
      0.409810156496002,
      0.533812790810968,
      0.278339924065327,
      0.288620534900733,
      0.28922067262235,
      0.216196941562746,
      0.299044575676975,
      0.422436274352732,
      0.573346418331515,
      0.45543839507651,
      0.508168104775739,
      0.255893968094185,
      0.347166805873539,
      0.546984847884659,
      0.124885590220371,
      0.242899470153504,
      0.346699908803557,
      0.575503712179665,
      0.25747273196814,
      0.403509143563694,
      0.306565858363039,
      0.118864548122067,
      0.421917736977375,
      0.403540461539174,
      0.349999253402376,
      0.299538731583159,
      0.326447134348099,
      0.566963402750957,
      0.484595025761266,
      0.358559148736819,
      0.394088193911367,
      0.328147976442805,
      0.124645471535702,
      0.473523627436973,
      0.320203812781291,
      0.225136153576841,
      0.107638436779319,
      0,
      0.460465096666798,
      0.299769928762312,
      0.267635542560832,
      0.344757574483814,
      0.222337420164487,
      0.54154898153666,
      0.276350535460402,
      0.322237628688747,
      0.31821139880223,
      0.331273479646254,
      0.123299645512911,
      0.320838350852602,
      0.601233791420302,
      0.125352069415509,
      0.535665392511529,
      0.295342811110513,
      0.120621989512791,
      0.585989245424844,
      0.176894468592346,
      0.463783590660342,
      0.577059949587615,
      0.204901135626995,
      0.420337132001605,
      0.127863168227223,
      0.526415656276309,
      0.278386182131131,
      0.434386419720667,
      0.431105382689257,
      0.424568986352676,
      0.185274949465596,
      0.162682525422446,
      0.26323935306094,
      0.365917638873762,
      0.213920772052376,
      0.355137275863465,
      0.157665818387151,
      0.478390684962767,
      0.229900842124159,
      0.175192602940905,
      0.532550015225767,
      0.253509672021568,
      0.252305093791299,
      0.465779555840039,
      0.143837835289955,
      0.302331136913031,
      0.031052101608084,
      0.235959562004706,
      0.261274317844473,
      0.152434185252248,
      0.150286306636042,
      0.300257528359194,
      0.457193843798623,
      0.355881820548441,
      0.288311533927846,
      0.39391930721715,
      0.294552925306017,
      0.23010778026566,
      0.205819435710777,
      0.123880425875369,
      0.0622135010858632,
      0.246024251086431,
      0.117204391448559,
      0.532510658921909,
      0.183524774380457,
      0.121450682356603,
      0.297838123167328,
      0.285196473422967,
      0.32050860972385,
      0.319323255529138,
      0.487317912678977,
      0.382056241768192,
      0.367620559146101,
      0.279903710453776,
      0.409078121848692,
      0.452850034332167,
      0.295225468263706,
      0.30313277605868,
      0.559519809354666,
      0.28541528703369,
      0.284913397236214,
      0.342216974226743,
      0.605048977451826,
      0.34690740214651,
      0.277943335208358,
      0.315154973094554,
      0.220399850738635,
      0.200910470864578,
      0.419294230004382,
      0.290970726497676,
      0.207983275328427,
      0.371902000630506,
      0.106463356510234,
      0.44552004339843,
      0.127013297621955,
      0.180123242373595,
      0.13178100807814,
      0.227786895345437,
      0.0221007611951234,
      0.0370350903190121,
      0.270010228590719,
      0.528872229696701,
      0.186343508516954,
      0.141610479206489,
      0.388652924294406,
      0.589026007164328,
      0.517550854221824,
      0.342195122500356,
      0.4545286553713,
      0.364787369486296,
      0.0727102104340766,
      0,
      0.54901277855107,
      0.269845600200398,
      0.123452075461366,
      0.238963779609675,
      0.238347093108843,
      0.21970817172073,
      0.35678963396855,
      0.109373620988518,
      0.462632194376828,
      0.0574947687950714,
      0.235433882065148,
      0.37644713066933,
      0.229499350005433,
      0.338646898428422,
      0.0098611710934118,
      0.250982602289269,
      0.530778026860044,
      0.631718435824776,
      0.35021306822911,
      0.606099409239009,
      0.382767384036875,
      0.205876403982317,
      0.305361808898045,
      0.0615447596241468,
      0.116616356380303,
      0.0522386864517558,
      0.336784078653062,
      0.341146767821545,
      0.170284010785541,
      0.227204960434928,
      0.458597551324734,
      0.217943046747244,
      0.260225514032893,
      0.184314242154517,
      0.0934521944947335,
      0.276347898266554,
      0.320296700740961,
      0.540925854030455,
      0.545699657902686,
      0.216935719576362,
      0.0570500711971016,
      0.339752830454219,
      0.306415672794078,
      0.266034100824948,
      0.238918415815911,
      0.279438932380779,
      0.221844139463609,
      0.302607988569996,
      0.213384030209523,
      0.483517849641359,
      0.431708255566731,
      0.316025859634144,
      0.307423662475259,
      0.276570723079475,
      0.435962765381304,
      0.13860814976738,
      0.194735643611689,
      0.531182808597123,
      0.23789525922156,
      0.136404078321615,
      0.543721775290046,
      0.143732189476125,
      0.466190455558698,
      0.559478037115392,
      0.348770484588262,
      0.330635630439385,
      0.293474848669028,
      0.180932009648692,
      0.601131783435351,
      0.229230306745456,
      0.313326101099821,
      0.306625808315033,
      0.328629933782528,
      0.174225400776554,
      0.326828171219023,
      0.546440230284278,
      0.478989094736297,
      0.342628945441407,
      0.351002178095021,
      0.396165147310555,
      0.379600599842874,
      0.19306021590267,
      0.471036312265948,
      0.545567531595172,
      0.230497285829851,
      0.395515520523594,
      0.492716319578335,
      0.545558332428064,
      0.31501723560109,
      0.416044868265753,
      0.530773970913287,
      0.35418987998337,
      0.386241057196277,
      0.305045612820772,
      0.291486045630188,
      0.525291627512541,
      0.212178962938431,
      0.318799786506642,
      0.404746821341165,
      0.557307941200336,
      0.3214145079367,
      0.314320102088173,
      0.592880959145736,
      0.252008845539423,
      0.409216467343482,
      0.549791041130988,
      0.622513462442116,
      0.370867880845289,
      0.202808626756522,
      0.348166877296014,
      0.220202019797996,
      0.167726812926548,
      0.209660441412946,
      0.369904719757261,
      0.168507678552722,
      0.27564243303639,
      0.194358849319137,
      0.509987644077465,
      0.299528691661476,
      0.416232887544877,
      0.273174543846826,
      0.22451114069232,
      0.147287608564593,
      0.266851680399322,
      0.209311261951777,
      0.528240029040211,
      0.190370798363883,
      0.218566631933871,
      0.308980632370139,
      0.263083207270926,
      0.230496930572079,
      0.293967705088011,
      0.431428145381771,
      0.24044626021329,
      0.191907327884348,
      0.313588427868827,
      0.560447677036881,
      0.482471939081151,
      0.211049242759337,
      0.299051858165242,
      0.55712801324685,
      0.303031969126437,
      0.260533571668276,
      0.234549830956666,
      0.49207988680061,
      0.3947791754409,
      0.258144336543426,
      0.384723667674176,
      0.375464725243714,
      0.383726163840216,
      0.392592171258099,
      0.20887861253153,
      0.126125385653606,
      0.348507327471717,
      0.419746228573484,
      0.532370145620387,
      0.131045492163809,
      0.237721945165191,
      0.242184374891748,
      0,
      0.321539545958442,
      0.0936336458492468,
      0.239468707114896,
      0.429274119482945,
      0.414792931463447,
      0.304819123391123,
      0.409024180978607,
      0.47415860432627,
      0.473216691261387,
      0.440205301415493,
      0.457488321564457,
      0.212295367911857,
      0.0840967680761587,
      0.0988693415992352,
      0.546642059327591,
      0.0984100582919289,
      0.0227843669625826,
      0.301992544706832,
      0.314061061247327,
      0.323728499034762,
      0.309132782107062,
      0.146999644639899,
      0.205934949650391,
      0.289291887073491,
      0.418552356229603,
      0.512941215191709,
      0.516841419835799,
      0.349859859826211,
      0.164137112193316,
      0.485304122966971,
      0.439432591227969,
      0.262505500219659,
      0.244644863195091,
      0.578526411131553,
      0.35258639390495,
      0.0815457626071428,
      0.365460010500278,
      0.135677240675689,
      0.113870718550439,
      0.102045473806576,
      0.268329515676582,
      0.336737110896788,
      0.272781879427587,
      0.409098799549565,
      0.594367314555413,
      0.263320996119015,
      0.288764991673957,
      0.333339320550005,
      0.0881955576539353,
      0.517392471196412,
      0.327533367126423,
      0.415608119302681,
      0.450952220419477,
      0.450970034281854,
      0.177876293330327,
      0.321166532547989,
      0.391323128854437,
      0.31173837103092,
      0.223618413940358,
      0.307587906533473,
      0.324752608745997,
      0.22747419705165,
      0.302754221378685,
      0.611305068642383,
      0.421114556284524,
      0.296918816182826,
      0.301286861087851,
      0.249789223550334,
      0.404605504136044,
      0.187783549528343,
      0.307432166034079,
      0.364745569316151,
      0.13514131721815,
      0.0648057280586025,
      0.607617483726681,
      0.0763508759580858,
      0.457286460999279,
      0.51729999410143,
      0.40839385843578,
      0.351685199033361,
      0.399034337178377,
      0.284827475797266,
      0.552674477698397,
      0.234286399947145,
      0.344360621409689,
      0.378568638035729,
      0.455094712653504,
      0.118051732721562,
      0.297898220899172,
      0.546657913473741,
      0.294124674618281,
      0.327726818464153,
      0.390258832017751,
      0.453342214944617,
      0.467506779508811,
      0.255699069921404,
      0.521803320424965,
      0.700491067431724,
      0.210985896921741,
      0.318625448381272,
      0.413767163445758,
      0.526531374036086,
      0.440914367733273,
      0.331193638873954,
      0.539614975549078,
      0.352699689752414,
      0.262778434164445,
      0.278113513338421,
      0.346932195543187,
      0.47439946269646,
      0.364423344422738,
      0.542961964113308,
      0.487254335232102,
      0.567795731406734,
      0.286094166183383,
      0.279368453482383,
      0.600456351678758,
      0.338569233048032,
      0.421487658903382,
      0.643011376328349,
      0.478707626178038,
      0.330897881800307,
      0.317198742215181,
      0.378531532865951,
      0.263906610974572,
      0.203415624139511,
      0.271717240381982,
      0.365008102871921,
      0.243228412298594,
      0.286702742174878,
      0.20206859624254,
      0.570563551076806,
      0.289994399668779,
      0.32932230425442,
      0.302385426260609,
      0.323886660254391,
      0.198850097202794,
      0.418480318153564,
      0.181052182953456,
      0.353213868732093,
      0.197806604579612,
      0.202240200216697,
      0.353373178255502,
      0.296985497353808,
      0.230389499988351,
      0.323843354986753,
      0.401919387228342,
      0.22152832248517,
      0.16579609500222,
      0.347921381302857,
      0.610709677705046,
      0.391568321840375,
      0.200250296251664,
      0.321833106953455,
      0.337227528499092,
      0.0809849180611956,
      0.176837107676437,
      0.206951240714184,
      0.238737110536414,
      0.293256629364945,
      0.126933855564667,
      0.49590503451468,
      0.0197794172897767,
      0.307502593555041,
      0.383941317557214,
      0.298973643961971,
      0.31872859547927,
      0.287539770175099,
      0.337912234348513,
      0.554776786262317,
      0.31888653187202,
      0.218121205423946,
      0.441282962694877,
      0.403330446018807,
      0.365001299650161,
      0.568266483190924,
      0.43215733683259,
      0.180318807334679,
      0.316885880804372,
      0.0877301208659529,
      0.540983608855695,
      0.228780708957728,
      0.213079867646949,
      0.267891523746978,
      0,
      0.156831829398984,
      0.179794175615442,
      0.334110547793032,
      0.492222895958606,
      0.281622266572734,
      0.214010683530329,
      0.369322338803482,
      0.48264442117261,
      0.200431799183509,
      0.0277785284285742,
      0.168022262001701,
      0.219046065630116,
      0.214427040116379,
      0.43428259954317,
      0.537274200192606,
      0.24879734299626,
      0.341366764284963,
      0.204317766147559,
      0.22633206813031,
      0.232672029848832,
      0,
      0.157837121380657,
      0.368259482100664,
      0.366677312956785,
      0.275989116909532,
      0.428551832838379,
      0.233711525155459,
      0.109494768391993,
      0.474441548936726,
      0.233601777273987,
      0.135325825535876,
      0.336829291751465,
      0.296470631080134,
      0.5441196952011,
      0.341450241221098,
      0.29678417422823,
      0.316066188196811,
      0.31698654229592,
      0.0746086188585503,
      0.33411680338159,
      0.251794754838382,
      0.17169691072642,
      0.0629689672152489,
      0,
      0.519625903335432,
      0.32618430047217,
      0.560092006076148,
      0.640000825255806,
      0.398351763979699,
      0.383965616446348,
      0.422567391274962,
      0.332619333048151,
      0.274619205288484,
      0.229064741554711,
      0.256713828535787,
      0.133015205012252,
      0.638137131883445,
      0.172389602015473,
      0.339054375516705,
      0.422093544871242,
      0.143548442772235,
      0.498649062759959,
      0.247993185011261,
      0.356299133357413,
      0.712996257501089,
      0.277318403609004,
      0.249757525796991,
      0.104861304440801,
      0.445592913760342,
      0.376237572617535,
      0.492688061268766,
      0.396841034441996,
      0.348338020669604,
      0.230527394353388,
      0.164896991260587,
      0.239375206208205,
      0.34325022725862,
      0.179628418809378,
      0.417644959066508,
      0.209568919805424,
      0.198736461320458,
      0.341359454667335,
      0.23546795644383,
      0.588504194120431,
      0.237280228785878,
      0.182890353206808,
      0.504702847175765,
      0.104356013528355,
      0.213444537374954,
      0.159286221151154,
      0.330328532398765,
      0.127787465775153,
      0.166535483631384,
      0.242790584347396,
      0.35381805133746,
      0.407812895621437,
      0.282238233881254,
      0.186023637101249,
      0.36955382989296,
      0.277509669919981,
      0.422159579578669,
      0.456056298573197,
      0.402929505148606,
      0.236176066105732,
      0.293280488334489,
      0.341476590028847,
      0.547413355281967,
      0.196937804458211,
      0.158146497964601,
      0.288090091743193,
      0.383410921733831,
      0.495290332749081,
      0.314315300800496,
      0.224819911551618,
      0.477509916428253,
      0.428815581939423,
      0.192574751570481,
      0.477884636475224,
      0.432110795312286,
      0.235984672076808,
      0.480716762323609,
      0.507725008981653,
      0.483157856773002,
      0.414032537644,
      0.482651099996665,
      0.566337746280675,
      0.352144472944929,
      0.37467023545169,
      0.325852523358581,
      0.274659288995913,
      0.537098301830674,
      0.401566576005391,
      0.318030085558574,
      0.199615356731837,
      0.32929515160049,
      0.0568111713320921,
      0.468556185466327,
      0.255403614705977,
      0.322871225655747,
      0.234108962587366,
      0.264298052425571,
      0,
      0.268954006421485,
      0.34833510456902,
      0.571570182290579,
      0.448813888092058,
      0.205634610869642,
      0.430764266960493,
      0.632152933733159,
      0.652563908321984,
      0.273450450169475,
      0.458415359565019,
      0.403065372187923,
      0.21688739136826,
      0.236792192561275,
      0.561439649397282,
      0.158035759583084,
      0.110807389217752,
      0.286800527301749,
      0.425411801859421,
      0.270981384045622,
      0.452621805730193,
      0.103906340083548,
      0.563652360393095,
      0.235927565147494,
      0.466805648219426,
      0.349305919125292,
      0.21403416846225,
      0.399876458930726,
      0.241432006615145,
      0.269018747848,
      0.590563897679561,
      0.563363143763922,
      0.300091158979636,
      0.576223907394554,
      0.608936749331177,
      0.213087513377343,
      0.329440768487419,
      0.120582224228169,
      0.120506391118115,
      0.272687876036709,
      0.400375192558245,
      0.348183113639997,
      0.203837854309999,
      0.158606800361598,
      0.60203914415793,
      0.220711928083395,
      0.568244016401166,
      0.234403872868515,
      0.153927020827069,
      0.446229053521279,
      0.629747414900099,
      0.614338922346234,
      0.500468659335321,
      0.513467516373172,
      0,
      0.423299561032345,
      0.322231531705546,
      0.462986157650333,
      0.423913231059545,
      0.403890946948252,
      0.232159523969235,
      0.296193990330033,
      0.278615375384692,
      0.507101938923702,
      0.423049306594142,
      0.337099701758714,
      0.319952460874183,
      0.275954446350857,
      0.341918739548902,
      0.345329233820319,
      0.385660466653838,
      0.4941709780126,
      0.250789319074637,
      0.259721378591359,
      0.609931905415527,
      0.23155048711492,
      0.580679213539513,
      0.603653819499761,
      0.455991728208972,
      0.662676074895682,
      0.63290605709648,
      0.4469827795428,
      0.489051318087441,
      0.442064311154754,
      0.351965813587058,
      0.241472830837729,
      0.212598428747092,
      0.178427842823936,
      0.35963059705101,
      0.640947895215076,
      0.448657219810238,
      0.162774377333566,
      0.441484193539983,
      0.448345531421106,
      0.455928946246633,
      0.250892687833776,
      0.380496045032821,
      0.689588920998538,
      0.27733491400858,
      0.332325713120427,
      0.477287216810791,
      0.56043566620423,
      0.50110646618604,
      0.504295329316645,
      0.476470341944792,
      0.336661281506425,
      0.454795157398412,
      0.329942129491886,
      0.231012275575756,
      0.397027577387167,
      0.279498227960409,
      0.437022859102384,
      0.420332137434562,
      0.269523827824396,
      0.361001239738981,
      0.279294875076533,
      0.570386710252263,
      0.214661624146081,
      0.285978950820857,
      0.626136699459124,
      0.558987232441054,
      0.453227580141302,
      0.400326626798359,
      0.348226960840179,
      0.249199256973512,
      0.191252554560526,
      0.256500389323899,
      0.383637541898817,
      0.255872686266749,
      0.253590623477692,
      0.200028197366282,
      0.552673145235359,
      0.221276651860049,
      0.409131523252857,
      0.467859747578555,
      0.4337581477727,
      0.24703138695473,
      0.368150531409005,
      0.327771522490514,
      0.473903573304002,
      0.175694257531627,
      0.190627500279704,
      0.378366476131571,
      0.232263946612758,
      0.508965893948945,
      0.359711839909529,
      0.249458373199977,
      0.450019924476185,
      0.342090072770425,
      0.373662437464214,
      0.556056009885237,
      0.467577374925116,
      0.18202034745472,
      0.438851974875768,
      0.467557461226589,
      0.400845691997952,
      0.421429410167608,
      0.442140765419691,
      0.505194929066925,
      0.330560708613164,
      0.397174791332405,
      0.389112668322734,
      0.450620843618728,
      0.511333010275477,
      0.438145034759769,
      0.267268223319166,
      0.137694392399855,
      0.322987477385277,
      0.344123003746277,
      0.524885344944222,
      0.290807289709866,
      0.276047550819835,
      0.253507804911812,
      0.147637039322375,
      0.51807956175508,
      0.291989170486991,
      0.384469526633857,
      0.559867023601798,
      0.315453732231032,
      0.253083004246622,
      0.483263487051775,
      0.434946384617115,
      0.578738775871224,
      0.397974381702735,
      0.438797479914985,
      0.431515124900064,
      0.223632368372164,
      0.221022048573173,
      0.541760332127312,
      0.195279566343543,
      0.0327577619659128,
      0.325696400102963,
      0.354780912408846,
      0.364504531001869,
      0.275691991558935,
      0.156304341473117,
      0.446617237872407,
      0.340504018577456,
      0.376524254300806,
      0.599465519074337,
      0.370379285627266,
      0.291271953349202,
      0.239615072392436,
      0.64811772086533,
      0.595245631048172,
      0.170439180918487,
      0.326075490522074,
      0.481305618164655,
      0.309132947344112,
      0.173975151156601,
      0.357109260670267,
      0.159323330101292,
      0.0457000071750452,
      0.292015394673989,
      0.388208261089829,
      0.306008307851056,
      0.279664260360009,
      0.33068382241007,
      0.630888214732185,
      0.25383775803565,
      0.601880076401559,
      0.25489852613305,
      0.155272701407137,
      0.587331511689403,
      0.486061725219882,
      0.494868985006194,
      0.421921066918905,
      0.570878551309438,
      0.202509380580656,
      0.375230587283967,
      0.35852729742208,
      0.400978755834433,
      0.369840812224127,
      0.455415366103489,
      0.275734774742408,
      0.281160246059275,
      0.358580452401092,
      0.583370390118168,
      0.322492629317719,
      0.201931954101188,
      0.343761292336924,
      0.250673432717567,
      0.286728253301883,
      0.358583149565729,
      0.389724371761377,
      0.352438570966391,
      0.207221992524156,
      0.253118286554484,
      0.591306085801434,
      0.295742757236002,
      0.645258695381514,
      0.620983292844979,
      0.449750026354259,
      0.628141000860277,
      0.662292925490562,
      0.364788266067414,
      0.429147105440507,
      0.464494319942865,
      0.267128904394394,
      0.279605319048726,
      0.336979973090296,
      0.131897120487241,
      0.322151219813324,
      0.616125918968007,
      0.312406104735633,
      0.165739477715235,
      0.448363117376828,
      0.463992107504229,
      0.454267698939358,
      0.304918822238901,
      0.386576338900083,
      0.713429718681983,
      0.214572258266838,
      0.34926654582878,
      0.348693121729815,
      0.50340021286899,
      0.599405977165839,
      0.429919123735401,
      0.403728479298096,
      0.256566972663886,
      0.384213446499956,
      0.177203739733928,
      0.216358378080845,
      0.330582889992424,
      0.295601055617188,
      0.506732241861902,
      0.522233263293935,
      0.274717221973889,
      0.331809970158956,
      0.346160508745868,
      0.50464082907452,
      0.312977707380691,
      0.392291333321371,
      0.753886043074426,
      0.422910187505298,
      0.454312895307899,
      0.512024689141753,
      0.427564180642961,
      0.313238417753244,
      0.428529345097872,
      0.338907208009686,
      0.302427918945397,
      0.258779751711736,
      0.478277739742782,
      0.44289291545209,
      0.572747979774919,
      0.286271285295918,
      0.343543124020833,
      0.478597243753051,
      0.381588786007049,
      0.507922418694197,
      0.418505384584537,
      0.331673380454214,
      0.370245797208251,
      0.514838138629727,
      0.178353278029255,
      0.37418558721646,
      0.25008884738612,
      0.471769608555378,
      0.361900269332185,
      0.270118397439681,
      0.44151880669937,
      0.293552033375858,
      0.379216942307293,
      0.563269380559296,
      0.503539566247286,
      0.216425004336285,
      0.415056776145161,
      0.207885585455838,
      0.411900828157424,
      0.389595725191783,
      0.448768353821731,
      0.454730553711769,
      0.291324783558589,
      0.419518232133438,
      0.537816763311018,
      0.151976301171803,
      0.30843082317726,
      0.344757676863698,
      0.306987582023827,
      0.35930116839306,
      0.28842542037083,
      0.360850462616477,
      0.456773978454194,
      0.217572963243659,
      0.299041228177834,
      0.347030757934779,
      0.472395709089184,
      0.354857723244664,
      0.559126200782733,
      0.4101315711038,
      0.260676589333481,
      0.242854476700612,
      0.0898911418241389,
      0.533759404041113,
      0.445249854340128,
      0.191690524885048,
      0.236045869384556,
      0.0663038180760105,
      0.160886489982418,
      0.265038809725416,
      0.404738226256643,
      0.480496464317246,
      0.264044548620962,
      0.167953777984812,
      0.533830964833764,
      0.276166521721914,
      0.244198006918172,
      0.187945844210419,
      0.517460107145571,
      0.174533474637924,
      0.418626168067602,
      0.469736618843526,
      0.530792093386927,
      0.224890569498433,
      0.142345064694318,
      0.239329589868437,
      0.261402286164227,
      0.251763619670482,
      0.126174448874889,
      0.084856161681404,
      0.355501185508203,
      0.415037325426339,
      0.381951795157657,
      0.513041923022543,
      0.332519243351534,
      0.164368747161049,
      0.49861967251931,
      0.389770584002945,
      0.462238189690981,
      0.345501598469425,
      0.230991683808831,
      0.560306600147757,
      0.431853937318522,
      0.425501120238715,
      0.270654466205876,
      0.346384159181925,
      0.0633464624274897,
      0.44628212019912,
      0.345350060381374,
      0.205559036117738,
      0.102442467024964,
      0,
      0.558278790086171,
      0.404887701934127,
      0.616212730933559,
      0.673161862137609,
      0.365084090854427,
      0.449398325946446,
      0.426539030716256,
      0.405562348947256,
      0.274964503209864,
      0.203595840086353,
      0.270007225869872,
      0.106345481181992,
      0.6018370867416,
      0.190265667855531,
      0.155524956139346,
      0.420458685371801,
      0.161568000234788,
      0.35958794761773,
      0.297631547218235,
      0.349265889288204,
      0.716664982770979,
      0.301472617475737,
      0.211344602188651,
      0.172517035642257,
      0.321139752097387,
      0.471012195063514,
      0.577476640880614,
      0.39238324464846,
      0.440470867801146,
      0.20465453790774,
      0.177059422697025,
      0.178370818975178,
      0.311402339290842,
      0.150138317614396,
      0.340363880101606,
      0.20861443861573,
      0.101615426343485,
      0.24633344842924,
      0.204796011165661,
      0.631913302048562,
      0.219959439951556,
      0.167985843935466,
      0.456262972431482,
      0.142944374181247,
      0.139388380929186,
      0.156388905295873,
      0.302518355333233,
      0.140612988194486,
      0.190675788145133,
      0.25752971273536,
      0.346323614350394,
      0.503552509461668,
      0.312058273403718,
      0.190461115246667,
      0.454972671821804,
      0.276481808672868,
      0.438481779539494,
      0.497955794830693,
      0.471180928802985,
      0.223035514915166,
      0.398789343530376,
      0.389861660542092,
      0.502676696811725,
      0.162282338139343,
      0.192143917272386,
      0.295118390797646,
      0.386506289058613,
      0.499636174299728,
      0.273869355082305,
      0.196517705054092,
      0.528291088552311,
      0.490193768825432,
      0.225778990493789,
      0.478189407476291,
      0.430146681348237,
      0.234045802163066,
      0.449762519210056,
      0.353026649130948,
      0.503518315427657,
      0.444056907134621,
      0.535071692175383,
      0.605258423675298,
      0.272881898323435,
      0.341234931291834,
      0.314435212449942,
      0.261839990950483,
      0.531544385407906,
      0.394139959020969,
      0.281628899905222,
      0.158993224158849,
      0.275378626393015,
      0.0666694679771206,
      0.482698104901992,
      0.276067027026912,
      0.293070244198434,
      0.234631905498192,
      0.201787645008682,
      0,
      0.237309185782859,
      0.326206955033701,
      0.654753991053688,
      0.422267860742796,
      0.189639119492631,
      0.387850271790269,
      0.556571944958063,
      0.660793011354759,
      0.286121088471452,
      0.540683541392758,
      0.389122663289332,
      0.212603492915856,
      0.2009681115202,
      0.518005375370575,
      0.14394785179654,
      0.120257900504934,
      0.268238654676611,
      0.394524011886237,
      0.29225873822697,
      0.466673176996396,
      0.0868735266672649,
      0.568896497484512,
      0.202799070740184,
      0.435934004157715,
      0.400824739209277,
      0.267712274137339,
      0.452722142094858,
      0.24172356600163,
      0.323106630178177,
      0.525037971591048,
      0.489958436486317,
      0.238938907240822,
      0.56278731074395,
      0.620717923087502,
      0.188677008607348,
      0.286784719007945,
      0.110215587053959,
      0.14630031657557,
      0.257519130361532,
      0.376400514623196,
      0.404587196632754,
      0.302502764798866,
      0.209955854183826,
      0.592025727383228,
      0.261543177438511,
      0.54856233486884,
      0.371764246165624,
      0.201138021992523,
      0.4607983249416,
      0.611715608047937,
      0.582210204540861,
      0.541754386514572,
      0.496951518990407,
      0,
      0.409983876190232,
      0.325563527105699,
      0.444154336269945,
      0.383698733462561,
      0.363899171800447,
      0.257774130451307,
      0.323202437518392,
      0.34169064569572,
      0.492213738283677,
      0.344645152777551,
      0.332348357556383,
      0.272676811409093,
      0.249202852060237,
      0.359631055596311,
      0.335292618743357,
      0.373154023056221,
      0.597614601672195,
      0.232848307524012,
      0.245322679956579,
      0.583521839824834,
      0.259020684860098,
      0.624574253391473,
      0.637245026899021,
      0.571045027195493,
      0.676775503148576,
      0.68242532518921,
      0.432237869935628,
      0.47977878733047,
      0.503294413372736,
      0.34968644005703,
      0.213392334474221,
      0.258616467827149,
      0.22198364224667,
      0.291562409472564,
      0.633009846300711,
      0.531820274295114,
      0.097108205058832,
      0.393322189148939,
      0.383862039220089,
      0.401538825637186,
      0.278718354295944,
      0.453034972884513,
      0.750142549802316,
      0.311027814234131,
      0.289408119742224,
      0.278599625884295,
      0.599683807173486,
      0.561933839383618,
      0.505030854087152,
      0.512625719047245,
      0.284203336154162,
      0.469015575605435,
      0.322816521421475,
      0.208699828123017,
      0.437678261746134,
      0.233921034347183,
      0.390368619412479,
      0.483446783841805,
      0.257351467515878,
      0.301792088615347,
      0.366796611728245,
      0.54463975112356,
      0.254554601736741,
      0.201838204955654,
      0.588558635459189,
      0.545663531475777,
      0.416062843865658,
      0.381423673990214,
      0.28703332192249,
      0.256381429906815,
      0.235235342971708,
      0.274694657421328,
      0.358972943517359,
      0.273532908067345,
      0.32402556501136,
      0.162530705939646,
      0.539853553326172,
      0.20121791573295,
      0.391390169386529,
      0.478688537561188,
      0.516931978702038,
      0.278604118889356,
      0.390498398034037,
      0.370463440663193,
      0.559611024677981,
      0.170835477623588,
      0.204905789499462,
      0.377390998318892,
      0.250321241021818,
      0.491666044992571,
      0.297694328733704,
      0.193693272186581,
      0.508660232355025,
      0.329520491281005,
      0.418433140315743,
      0.541490891131152,
      0.453047987742482,
      0.225759533990644,
      0.437403525992817,
      0.317956295083769,
      0.459741727799787,
      0.5006309266401,
      0.527807297987301,
      0.52529033528728,
      0.242891419375459,
      0.408791151187631,
      0.408658416832383,
      0.347722054566185,
      0.501978061553996,
      0.386373378086577,
      0.27414150393783,
      0.275549084584527,
      0.307433970463502,
      0.271694940239764,
      0.464805424712383,
      0.266315563135099,
      0.262382211644869,
      0.234914430006534,
      0.136874872072516,
      0.506552264416942,
      0.259499625823142,
      0.37479213124997,
      0.543562271512983,
      0.2732522389704,
      0.234272329557138,
      0.451693310844448,
      0.426835501699621,
      0.548958443662479,
      0.399076343251039,
      0.390766566109199,
      0.498720689607666,
      0.226845531091001,
      0.178186345287736,
      0.611312156902485,
      0.257864683250251,
      0.036371233512142,
      0.320889549278667,
      0.313142813784685,
      0.332210605155075,
      0.267131377610485,
      0.163175268487302,
      0.418091037506686,
      0.320381394253288,
      0.461920815394343,
      0.546649763264152,
      0.361020231248382,
      0.354260618081124,
      0.260153832630359,
      0.644207427759447,
      0.566739011331896,
      0.200611843815189,
      0.288278120797079,
      0.482135081991259,
      0.292145167620951,
      0.17172681056024,
      0.342413486514604,
      0.130483389076222,
      0,
      0.270631917891526,
      0.381425700252393,
      0.306039071482924,
      0.290801061559855,
      0.279853207013047,
      0.609546693508968,
      0.23643859933131,
      0.57400847649827,
      0.35070995896529,
      0.166902535095421,
      0.523856099446551,
      0.474006434434804,
      0.569272292326449,
      0.539447520516152,
      0.555138293479937,
      0.279359478645574,
      0.425042837058526,
      0.347222477966532,
      0.376504967295262,
      0.341316728014058,
      0.395440573315322,
      0.264804928517532,
      0.242967457979493,
      0.43797617804163,
      0.564335368560499,
      0.300175161965739,
      0.206392563143104,
      0.305010387300777,
      0.276730763334618,
      0.392636809517382,
      0.310478688551995,
      0.405079229277152,
      0.40974584302431,
      0.19072591865539,
      0.247246564906023,
      0.57770286979294,
      0.295122927329306,
      0.621729118801069,
      0.601568754534975,
      0.560558258083887,
      0.645600862234829,
      0.685254037160792,
      0.362303320707704,
      0.543926957207246,
      0.490213237427437,
      0.253243674871625,
      0.30292994804034,
      0.244460178366379,
      0.111675723955021,
      0.293366387373022,
      0.61682169222399,
      0.286069493003055,
      0.183249739521111,
      0.386786828037957,
      0.477539985096722,
      0.39548749823898,
      0.336843599891034,
      0.375874120541911,
      0.69230406931906,
      0.23453908935835,
      0.302372037355933,
      0.242858138279472,
      0.598385416841251,
      0.633960594240818,
      0.417515039673119,
      0.501480351510108,
      0.266132637090585,
      0.328514268538367,
      0.158648246641206,
      0.1484684997613,
      0.244050106859637,
      0.234405339462819,
      0.382583290327608,
      0.501903865934511,
      0.220046653692795,
      0.243519014595261,
      0.425347210523662,
      0.387003949982435,
      0.285028558948348,
      0.346240067970981,
      0.733906336127443,
      0.505829441575043,
      0.422805615091665,
      0.499592935656569,
      0.438152770603488,
      0.392900968415202,
      0.494763153436755,
      0.346143703937968,
      0.281073637361475,
      0.311794167503156,
      0.467993664502835,
      0.450019491141804,
      0.583242080905897,
      0.327068729653203,
      0.384687632803652,
      0.509931631688507,
      0.44918643802873,
      0.511603789121745,
      0.433095790335435,
      0.336699175428457,
      0.398462620436432,
      0.508904474845569,
      0.107697830114392,
      0.407383853973559,
      0.198259567642916,
      0.439863285197118,
      0.225134039566538,
      0.266737544524808,
      0.499276364970809,
      0.368115084306836,
      0.399527861535451,
      0.541645378185271,
      0.487433403001397,
      0.22335067073418,
      0.437196104722015,
      0.279797249295049,
      0.443288415909107,
      0.454756112096075,
      0.52907758807021,
      0.426321779884873,
      0.279901001194719,
      0.420329116140363,
      0.52879709941638,
      0.119909728776428,
      0.308563168137317,
      0.412869309967603,
      0.290770477388927,
      0.325011966938096,
      0.249382961867004,
      0.255975776403725,
      0.535558154216724,
      0.236744321057763,
      0.28495891249607,
      0.327365700383191,
      0.428278925243886,
      0.372690460817474,
      0.423760888809566,
      0.354815018384781,
      0.281759085511542,
      0.200461356622147,
      0.0876970378770801,
      0.530066933377814,
      0.396359205868364,
      0.203067898899795,
      0.214539529431283,
      0.082371151890407,
      0.150046721849911,
      0.251586659112462,
      0.389026999975255,
      0.557562297122705,
      0.30892675931784,
      0.134294144267581,
      0.624071126150663,
      0.197862900398093,
      0.247317616096187,
      0.150827373443011,
      0.637595020223485,
      0.214012565631358,
      0.527608560313203,
      0.527204539352454,
      0.506469508310036,
      0.212955901001524,
      0.0584960299104225,
      0.257298702415646,
      0.26576593678655,
      0.241449349638121,
      0.129611251143364,
      0.0828361730387551,
      0.415913787661239,
      0.404548481121687,
      0.321204454404539,
      0.461257797480311,
      0.371914135681775,
      0.279433268821418,
      0.385670703670831,
      0.363797841572039,
      0.444755404329894,
      0.304311639020505,
      0.126821389394194,
      0.622894135173335,
      0.376620614299978,
      0.358151481853345,
      0.233912404642395,
      0.401199955580391,
      0.140790384600577,
      0.408401508671445,
      0.351831547172796,
      0.193364511928558,
      0.090840339677471,
      0,
      0.472110205821164,
      0.350641208402964,
      0.5163769356056,
      0.524912658879604,
      0.320246131793572,
      0.340889527315323,
      0.376975658048706,
      0.403429246734801,
      0.18911034169273,
      0.214569507061028,
      0.224546572526123,
      0.094202242997185,
      0.441037474824576,
      0.0322567819964283,
      0.230497890058518,
      0.182235207884761,
      0.00229161901928003,
      0.194278888221774,
      0.224408878048232,
      0.272351323084558,
      0.479985966536117,
      0.173352241098532,
      0.229078306906126,
      0.165412667441006,
      0.325727717539414,
      0.421453959899646,
      0.482493538196001,
      0.41664578001772,
      0.436638638887588,
      0.317174927329008,
      0.0844360239831203,
      0.239242660824525,
      0.281959855106366,
      0.172753868992834,
      0.265499575640072,
      0.204015921702671,
      0.0969141488801849,
      0.0140553512268809,
      0.148203319639192,
      0.537218740034859,
      0.227801472335801,
      0.138531777564496,
      0.362676682774516,
      0.183137610798441,
      0.117869891814745,
      0.0759678557093767,
      0.197447045915959,
      0.129637962545079,
      0.180155167742432,
      0.187713228686148,
      0.19524943229369,
      0.5017588834231,
      0.247691839616852,
      0.189492882886579,
      0.425799497738648,
      0.180519819474185,
      0.26290801780539,
      0.34080605447088,
      0.37694793799429,
      0.12443605911466,
      0.324681710665518,
      0.402641177106117,
      0.525325452178665,
      0.0726284965966608,
      0.175977726896856,
      0.439972211591388,
      0.242256553821147,
      0.238678468232896,
      0.242807177930019,
      0.137199890546041,
      0.43283311134564,
      0.447674767458596,
      0.282064080706072,
      0.456733145747476,
      0.245403395658722,
      0.222554446035787,
      0.324470100217511,
      0.421368959633097,
      0.468061869589418,
      0.412476128419116,
      0.360880691000401,
      0.584932125120551,
      0.240457497203592,
      0.343001251010649,
      0.274715316251536,
      0.201727969036859,
      0.166024381358803,
      0.407615614733425,
      0.28956806325495,
      0.178668063934891,
      0.280213685661322,
      0.0528829255683181,
      0.440562948317901,
      0.248904266824809,
      0.288762337027839,
      0.224892839501405,
      0.210140114629131,
      0,
      0,
      0.428151032911882,
      0.634176613126287,
      0.205375597030871,
      0.141076341280578,
      0.473363146742536,
      0.475785749667761,
      0.515544455873432,
      0.335002808975071,
      0.531066140332164,
      0.231240624985762,
      0.2916317532003,
      0.0432584399488893,
      0.458237403570548,
      0.187794526305596,
      0.1564169642204,
      0.198276802695001,
      0.24356731538892,
      0.25193291705992,
      0.48794198839553,
      0.0917800749136216,
      0.508286908153943,
      0,
      0.359680491948338,
      0.384452602929767,
      0.255298795271265,
      0.349684208235117,
      0.360104355731628,
      0.437684045355199,
      0.375313249627681,
      0.491482431197112,
      0.179720547678449,
      0.594570299203756,
      0.412865299503075,
      0.198466097974154,
      0.195271765060837,
      0.0302473636501041,
      0.122144258866843,
      0,
      0.377560674411513,
      0.414152038552185,
      0.374534714442867,
      0.179249031492336,
      0.50260464215864,
      0.293341191650213,
      0.336946853589016,
      0.503758100796492,
      0.264149650961549,
      0.14407296329916,
      0.340325458081041,
      0.501459187472095,
      0.533324114554498,
      0.349126153783653,
      0.00184742487679141,
      0.443169628231236,
      0.257172049148585,
      0.13973434987457,
      0.123725624348614,
      0.203620029698732,
      0.229415943365929,
      0.356857934048119,
      0.385137586684017,
      0.536463295894759,
      0.274665362440484,
      0.299987855561416,
      0.251795384089903,
      0.296909790162077,
      0.416513555222282,
      0.327704737933731,
      0.126888501182639,
      0.57329974802201,
      0.283818823986305,
      0.2972130110572,
      0.47156335552831,
      0.365238422698148,
      0.454284645552954,
      0.597830116078094,
      0.544824549495865,
      0.520041567009138,
      0.552024804136798,
      0.325489376300803,
      0.526451314196218,
      0.404942390861245,
      0.299214532327447,
      0.201611094054159,
      0.214185299058957,
      0.215759460803755,
      0.216576027713457,
      0.496128844668023,
      0.5133183106084,
      0.21585797322101,
      0.233357928686398,
      0.478399071848148,
      0.247797750993934,
      0.241042866679526,
      0.395789351994777,
      0.586454236780094,
      0.180261633301495,
      0.321069188024875,
      0.246400304085959,
      0.567260183702691,
      0.509305800084152,
      0.340879598476758,
      0.441358294959589,
      0.377966070929798,
      0.481116256855513,
      0.340978944168937,
      0.181324143010966,
      0.438323732424086,
      0.194684634170731,
      0.385868917247202,
      0.436433336374025,
      0.187703640246725,
      0.091277323567009,
      0.422311987658775,
      0.429362009335391,
      0.275795425061119,
      0.229399682166214,
      0.392574061639771,
      0.557062646999774,
      0.376030092353663,
      0.154080257089282,
      0.224894608459095,
      0.176089026567348,
      0.176967989566416,
      0.287475043078425,
      0.156385293826372,
      0.198754263394783,
      0.236048908354253,
      0.162720814693505,
      0.511021582983228,
      0.213393804196128,
      0.31481164621756,
      0.299609375541735,
      0.410311282051892,
      0.192845335015995,
      0.304211939755171,
      0.430956149200519,
      0.530202450163145,
      0.170687126620582,
      0.196340567425245,
      0.439771766303937,
      0.265850398199887,
      0.215429231178252,
      0.243367102041916,
      0.283855970750835,
      0.32808922629448,
      0.316383516285818,
      0.373607203967937,
      0.596904830312558,
      0.222848858640096,
      0.235119686205166,
      0.360649361508557,
      0.270581860310963,
      0.450820548501018,
      0.446036168741041,
      0.408539324449678,
      0.505132893163235,
      0.256946624153311,
      0.387985415727394,
      0.376459728226683,
      0.212151176945772,
      0.296734148921378,
      0.428567323938874,
      0.195372384245589,
      0.394929043938677,
      0.277624910803762,
      0.247875630520475,
      0.547717182999995,
      0.0559504077156209,
      0.185471522550182,
      0.223848333517274,
      0,
      0.22188980279071,
      0.117216883755666,
      0.450684163708163,
      0.395912521521214,
      0.265055372283367,
      0.241891085404167,
      0.516526337364854,
      0.432399836085063,
      0.371157826353574,
      0.329698515216216,
      0.411483554574993,
      0.332705680044718,
      0.299917940174432,
      0.115477261050541,
      0.585097864371389,
      0.27732627802271,
      0.0506716201481221,
      0.308147226178037,
      0.303274226661073,
      0.3104790297214,
      0.287884823094193,
      0.0949175739160129,
      0.209253907449991,
      0.292739586615607,
      0.454147193899102,
      0.470720322250941,
      0.33641404323147,
      0.334313254360955,
      0.390792290824343,
      0.480465483599848,
      0.365381681658908,
      0.351780632182351,
      0.242019511851706,
      0.509812108987775,
      0.336540002544867,
      0.120930651108471,
      0.291831352735447,
      0.119835429763984,
      0.0178042483380805,
      0.162525229850562,
      0.229210888322851,
      0.374815680839009,
      0.232661890045663,
      0.256067575658224,
      0.495101805167608,
      0.221560474821302,
      0.284129554559776,
      0.471446007569296,
      0.211292324507858,
      0.272068152365862,
      0.370503342492138,
      0.582721944264594,
      0.630843598818046,
      0.410745716993571,
      0.371253104139336,
      0.460414513831701,
      0.275780860611786,
      0.285655729903352,
      0.0397541672916163,
      0.152271764466232,
      0.268895444814108,
      0.222191374666618,
      0.493811084656002,
      0.598421108771808,
      0.32549907914754,
      0.172099088426797,
      0.246960136253457,
      0.250527130750797,
      0.403788845261367,
      0.27736962054912,
      0.286551963339653,
      0.428676271170892,
      0.288134370466075,
      0.359234807666625,
      0.501989538944443,
      0.420582041355963,
      0.419479206507226,
      0.597986115884235,
      0.585854063228168,
      0.520548309587176,
      0.546042023158076,
      0.322247169698804,
      0.540958595401523,
      0.254537873967885,
      0.234608513028752,
      0.253877745572093,
      0.235861341051615,
      0.00691978049708185,
      0.211885417388446,
      0.492786758160513,
      0.296557728294283,
      0.212818565510225,
      0.242933018804008,
      0.557115614311694,
      0.279509181238609,
      0.327178555542118,
      0.373782196011273,
      0.552555072730373,
      0.151522537656186,
      0.36121199685346,
      0.200872199597703,
      0.57810725173754,
      0.538688211040799,
      0.289305564010031,
      0.427884266835738,
      0.229241434460991,
      0.33304579317835,
      0.165647104497244,
      0.131770101524258,
      0.267263957342391,
      0.235739760201791,
      0.381319749167304,
      0.474756529758489,
      0.184522004141725,
      0.0693732014862124,
      0.418677796485638,
      0.247984454476107,
      0.363404442548216,
      0.30993280026485,
      0.557846895707601,
      0.507585945010035,
      0.354015610048688,
      0.232384696808596,
      0.342210944123485,
      0.279287314360142,
      0.378962938427985,
      0.3347508193471,
      0.288536118294975,
      0.262105847430762,
      0.223771309580319,
      0.161646513452267,
      0.546928526823351,
      0.218563652926477,
      0.438130552858857,
      0.469955790537467,
      0.414800742625394,
      0.279192082563321,
      0.210694834649837,
      0.215289326751393,
      0.412740130800804,
      0.171185170127235,
      0.199041835442936,
      0.340098074641013,
      0.203357071754214,
      0.211877253767797,
      0.172164982489397,
      0.307051319204321,
      0.302961341166467,
      0.33471775558225,
      0.391608220522323,
      0.558285783294727,
      0.218645610113715,
      0.249639422948435,
      0.443874389614511,
      0.247004873927876,
      0.434910930177481,
      0.432304208423901,
      0.447483573141478,
      0.254150217682552,
      0.293367277620821,
      0.373316428379275,
      0.448790630681265,
      0.208050302103699,
      0.268275130539066,
      0.456522606991935,
      0.24343424503165,
      0.267952462684874,
      0.256094796131761,
      0.173413647782753,
      0.529415653270386,
      0.237445051121848,
      0.0892125849188183,
      0.320959968644461,
      0.382895706389902,
      0.312037399566251,
      0.310739118655481,
      0.465262417059947,
      0.283903887610502,
      0.24677768610427,
      0.148121299373297,
      0.591360272526425,
      0.26144635468276,
      0.31207377805252,
      0.203077183721227,
      0.0857762908180166,
      0.0557588942136826,
      0.311125590544298,
      0.390631061328895,
      0.532097090726777,
      0.276840684552937,
      0.126430362015379,
      0.519383583535025,
      0.154439706687895,
      0.126538940582489,
      0.138515761480232,
      0.551083542090192,
      0.181626480089808,
      0.457883375760238,
      0.446355140655092,
      0.504395887767304,
      0.220533331531405,
      0.0400454455641995,
      0.422041711181344,
      0.298995004310217,
      0.280977527556738,
      0.228194756063809,
      0.132785666955651,
      0.435606519574062,
      0.392284050332934,
      0.245314496782238,
      0.423093081901715,
      0.277777861455768,
      0.223248802331861,
      0.355289523240807,
      0.250444331443934,
      0.215347911586648,
      0.139663782964261,
      0.0715650563983908,
      0.588817673416137,
      0.337253234290938,
      0.352223848892309,
      0.343765706385775,
      0.327327824947175,
      0.189563273754187,
      0.424598489663568,
      0.463188699132916,
      0.265557365798274,
      0.166341270797849,
      0.0142202800245464,
      0.631335525155077,
      0.180892171941973,
      0.275307816691053,
      0.417265095140563,
      0.185156725328814,
      0.249843167406945,
      0.288190301777492,
      0.37532581303272,
      0.257355150442418,
      0.36433525284832,
      0.263827458759688,
      0.158320199839329,
      0.189417184740849,
      0,
      0.219362964702328,
      0.182372563777348,
      0.0561358301695,
      0.205326787466376,
      0.283207403671856,
      0.170626564526015,
      0.302717991214156,
      0.107833343745834,
      0.234299158792269,
      0.127188746789956,
      0.44273452417265,
      0.228549317489233,
      0.250352941116653,
      0.296006525439943,
      0.488625483335438,
      0.313266681842006,
      0.266400981116999,
      0.274086032077873,
      0.235680929471189,
      0.0964863459019515,
      0.343769944767375,
      0.289758636622215,
      0.0835867877369491,
      0.0385991120866028,
      0.195762744979816,
      0.287509117035886,
      0.231737440986444,
      0.0309698608535191,
      0.18443487580151,
      0.0929065979665417,
      0.134561862396195,
      0.075202239383965,
      0.273892917458023,
      0.159499470816276,
      0.189557845703007,
      0.250306092587898,
      0.259987523810304,
      0.479424405071926,
      0.278308528285328,
      0.20516238134087,
      0.424065297897907,
      0.270814150556392,
      0.21144419648077,
      0.222151407156591,
      0.291369105817465,
      0.107742719352204,
      0.204592881767623,
      0.359129738198832,
      0.519155434089668,
      0.174373712582984,
      0.224195398888171,
      0.417097496689633,
      0.231790391766491,
      0.208908923709711,
      0.341525179336141,
      0.326014077280403,
      0.425824948003357,
      0.371268810834216,
      0.356687875324377,
      0.496870644443082,
      0.285511007238511,
      0.339157100316843,
      0.341034265163986,
      0.415379378878155,
      0.391405181800565,
      0.387964728105333,
      0.273779682397979,
      0.525414909197609,
      0.19396990355534,
      0.298239037466365,
      0.312673218479428,
      0.135566245436684,
      0.191795853349383,
      0.395252605042037,
      0.286062620132984,
      0.20176052475725,
      0.293298098420351,
      0.0179568343806657,
      0.453979643130136,
      0.138168301985001,
      0.22640599306579,
      0.152145242537456,
      0.247970725109139,
      0.0301183640073116,
      0.106230402220855,
      0.38304589413885,
      0.550094328257601,
      0.177933356959976,
      0.214945159132957,
      0.437262182758112,
      0.5482800284489,
      0.387648651757566,
      0.341481744898249,
      0.572266710670144,
      0.123651632341028,
      0.228452307199984,
      0,
      0.52874044023301,
      0.386137107438326,
      0.0899122233524688,
      0.164176231195428,
      0.168812072339795,
      0.225851033161712,
      0.490343801595778,
      0.189124786700371,
      0.493971876975121,
      0.0717042558751351,
      0.314588082181699,
      0.402129102107455,
      0.221351179944381,
      0.277531821839048,
      0.326006484350473,
      0.418605568272883,
      0.333816882513859,
      0.454079666555242,
      0.247281447301519,
      0.536260462884298,
      0.418236264204374,
      0.415804328867077,
      0.295253306857333,
      0.0916266373113672,
      0.169982500603398,
      0,
      0.514140910189212,
      0.404901065716036,
      0.355658828100085,
      0.170143362630478,
      0.502678347303421,
      0.430701665519214,
      0.274357535158076,
      0.487155116565298,
      0.314340276180071,
      0.172962007578764,
      0.410165930358866,
      0.374233838043236,
      0.489541354985173,
      0.269471783638738,
      0,
      0.423077210709008,
      0.237735751549267,
      0.061108727069001,
      0.105451740223748,
      0.0790056847850224,
      0.238677128257443,
      0.41007738829474,
      0.393679612047331,
      0.523636109304958,
      0.296154663661111,
      0.267324050360308,
      0.264728681017455,
      0.317248693972472,
      0.282414083016414,
      0.331763108515312,
      0.0767397391277507,
      0.538348605154931,
      0.221264022941,
      0.258081359924066,
      0.336873805428103,
      0.359183454497396,
      0.40755365055863,
      0.630382584474224,
      0.38545926309659,
      0.37579113005983,
      0.414620807386832,
      0.179834395473574,
      0.537635972568304,
      0.276823959746823,
      0.284656804800767,
      0.291778498350047,
      0.362912354812246,
      0.182934549672599,
      0.231307926778366,
      0.410158202938894,
      0.504768487756964,
      0.166917143442035,
      0.15450884510932,
      0.462792749897533,
      0.184273319386117,
      0.247639145814084,
      0.284751517802879,
      0.32164308472323,
      0.110633791663786,
      0.299176953373454,
      0.274391826623351,
      0.482130704268355,
      0.367918218528957,
      0.305273780775831,
      0.342935835464085,
      0.463682584608362,
      0.447245705430652,
      0.302010049208164,
      0.247502224399066,
      0.390587533270443,
      0.24955037063413,
      0.345504158292332,
      0.456372804749644,
      0.147625757536139,
      0.0423552608320442,
      0.372260888688727,
      0.374177675378458,
      0.313972378209023,
      0.215338764767912,
      0.277921927964498,
      0.531845401437127,
      0.333715285529673,
      0.184158332647167,
      0.268902969611306,
      0.119200583926127,
      0.24301338562474,
      0.33615180322347,
      0.274542631461147,
      0.306685348430212,
      0.260987669310088,
      0.215569477528464,
      0.53822992541322,
      0.235247052533306,
      0.251328366573879,
      0.272145080680939,
      0.271674173390226,
      0.133262016383265,
      0.257088157066177,
      0.411756884197493,
      0.500996520695975,
      0.117871705397218,
      0.191138256056889,
      0.403430296458889,
      0.192509570885625,
      0.237713760794169,
      0.330379916973158,
      0.372064625024239,
      0.240530925920299,
      0.384081286991701,
      0.326137438897613,
      0.566746693679418,
      0.29234434462624,
      0.364944187887305,
      0.382216282635527,
      0.297039610342835,
      0.375100325651315,
      0.388383654243411,
      0.297314344952941,
      0.510999737059346,
      0.204473727284667,
      0.32700548259139,
      0.373797322481088,
      0.159369694652825,
      0.308943258961273,
      0.478227950023767,
      0.244579336214773,
      0.468492232895155,
      0.262522978669457,
      0.232852841712208,
      0.522560213371549,
      0.00779140378277659,
      0.14005283869622,
      0.273903614739303,
      0.0252146582098644,
      0.103295768020732,
      0.0982537214263183,
      0.4121322961094,
      0.421827255225485,
      0.314909848561625,
      0.445550950337041,
      0.506555860457166,
      0.418816381669707,
      0.304521387867886,
      0.25990793594812,
      0.502685610126036,
      0.115015464110048,
      0.237698075679373,
      0.0556936841014128,
      0.537985867293464,
      0.356837522527495,
      0.0259485644968758,
      0.356835299167901,
      0.285358468167214,
      0.241348992338506,
      0.301316711962958,
      0.147278271960599,
      0.222559593049031,
      0.344865787257512,
      0.422679673356179,
      0.426476195932494,
      0.461716835873537,
      0.314205516241581,
      0.346639728273322,
      0.381569735051552,
      0.283299842875342,
      0.342144737710218,
      0.321317218980231,
      0.510553606552644,
      0.312477963473749,
      0.137258264635156,
      0.337393950873295,
      0.0932635532983677,
      0,
      0.120213593336382,
      0.293553358375581,
      0.462892237944157,
      0.393071942911685,
      0.284574315445828,
      0.52634537541173,
      0.294982650211994,
      0.290591160044077,
      0.405751664817688,
      0.175721577958924,
      0.171108487532321,
      0.348964783247862,
      0.474858970987826,
      0.608720190346407,
      0.434892106418103,
      0.37664632955749,
      0.421499092393469,
      0.182492265728544,
      0.21297065080105,
      0.109697961000699,
      0.156260655534089,
      0.168497038328213,
      0.169391963985027,
      0.465384019477609,
      0.546254739905581,
      0.288120464347231,
      0.193207853574176,
      0.298403596136616,
      0.254834843985828,
      0.27265482469797,
      0.314334051804323,
      0.304153212481351,
      0.419451289949136,
      0.219918314781117,
      0.319585824287612,
      0.420317629314421,
      0.442126083560519,
      0.267270686998196,
      0.648096320897011,
      0.384723423203864,
      0.443713687052011,
      0.460347085248603,
      0.190413155296843,
      0.502559992568633,
      0.307438360668593,
      0.198900320463472,
      0.356112567018239,
      0.244985064875411,
      0.0981834199810445,
      0.211982955424158,
      0.436166607425852,
      0.266111100439693,
      0.14675908741834,
      0.19368714422622,
      0.528181646829875,
      0.264851783446425,
      0.261621969537733,
      0.302862563936554,
      0.260024760676123,
      0.15874670475489,
      0.358632196589601,
      0.237241624798756,
      0.553380875782829,
      0.350558091240239,
      0.202495066156498,
      0.38579249444913,
      0.238415867313892,
      0.343140439398071,
      0.212576784302023,
      0.329237988339485,
      0.316366569919936,
      0.250573268280389,
      0.334484922690737,
      0.523657077992138,
      0.161830986617541,
      0.0863974820054276,
      0.368561871389006,
      0.198231734700547,
      0.318031129816429,
      0.24038084491528,
      0.347872272265883,
      0.476696543733615,
      0.321790511336014,
      0.276918485437429,
      0.465037162164424,
      0.359763058762738,
      0.275264134057283,
      0.379360693296238,
      0.246228183652146,
      0.330919858010841,
      0.31446623979724,
      0.265219633860907,
      0.53553580048556,
      0.255588448155054,
      0.370394130837602,
      0.407997609087356,
      0.321568487325841,
      0.262194224907906,
      0.183494438160945,
      0.358042008058943,
      0.405308007347973,
      0.133675492589767,
      0.154672207738596,
      0.478588800279997,
      0.243990209918378,
      0.197483478484239,
      0.323787446755982,
      0.387218623488595,
      0.212102052837492,
      0.379775163307065,
      0.355676892449128,
      0.514680293780437,
      0.28231679346236,
      0.34911745797413,
      0.41255979774002,
      0.294150718477595,
      0.37364908251936,
      0.378670970254745,
      0.303672775948637,
      0.229521007512585,
      0.24350190491896,
      0.328551823557723,
      0.481780803813699,
      0.149458011062795,
      0.318313609956835,
      0.479336800972579,
      0.314782662186333,
      0.230808615606398,
      0.218135255774189,
      0.0912146182174185,
      0.505409662185545,
      0.174677510247589,
      0.130790962294773,
      0.42532785794557,
      0.303521424316681,
      0.321737783685829,
      0.199854342691556,
      0.432071127289415,
      0.209167121104622,
      0.232139921508863,
      0.0883013217464702,
      0.534764316222547,
      0.193328680905062,
      0.254821382510826,
      0.176419239108071,
      0.159928111672355,
      0.259659741330804,
      0.263866213377056,
      0.28088575506879,
      0.549437934578318,
      0.193007880444823,
      0.100938922283078,
      0.40032830602763,
      0.0734030237371528,
      0.113002873416392,
      0.141951862943857,
      0.307083416972001,
      0.173631097844078,
      0.246385517553926,
      0.359128653303696,
      0.489771585068076,
      0.169434460417368,
      0.0849213508780743,
      0.382033950736526,
      0.246898394387281,
      0.220482743650041,
      0.164716757867336,
      0.126106906572943,
      0.424286394148995,
      0.368768285162636,
      0.0861037659057459,
      0.47217616265324,
      0.119174154138888,
      0.162031236368825,
      0.291450875047282,
      0.250468707555369,
      0.285221326887655,
      0.319704222202304,
      0.244452556092715,
      0.528105113678102,
      0.466184417245547,
      0.332688577489671,
      0.405454934501384,
      0.288108455336395,
      0.163988864339291,
      0.446591829465308,
      0.42568274344113,
      0.226357545923063,
      0.186298056585426,
      0,
      0.62631089393806,
      0.336200688111883,
      0.300034949224957,
      0.406582730837263,
      0.15726787976222,
      0.232578908588563,
      0.270026951616956,
      0.256926351778719,
      0.338553791231235,
      0.378231325671387,
      0.264717951322188,
      0.156197608810585,
      0.169691444472562,
      0,
      0.200351890023051,
      0.229487591743479,
      0.0438036042770953,
      0.168976127578405,
      0.279578892987177,
      0.0746956894915628,
      0.272349783081832,
      0.0779602610261288,
      0.208997242961291,
      0.18296246693762,
      0.414239294833779,
      0.262464688963837,
      0.219919001203363,
      0.380755048847078,
      0.482841794699976,
      0.258384145853299,
      0.344928373311017,
      0.351727607436777,
      0.407545583031402,
      0.0989608566171831,
      0.489771849629376,
      0.279056732177515,
      0.045611684419818,
      0.119797185491121,
      0.319818342638473,
      0.319237826218797,
      0.232115619117371,
      0,
      0.16637722735719,
      0.118555843229365,
      0.0871711853887301,
      0.0949545961173212,
      0.29428137710734,
      0.0922164616218327,
      0.204679620396857,
      0.316141430391628,
      0.37783232880839,
      0.487797424981043,
      0.43259808461939,
      0.20372865041239,
      0.378973313574896,
      0.41708638109544,
      0.0969617686673812,
      0.252591717044737,
      0.203343524131057,
      0.116797592698331,
      0.0873006549102257,
      0.369663494511894,
      0.536307680746946,
      0.163241542248627,
      0.17536629188385,
      0.316309659533714,
      0.210529457071725,
      0.273753348052999,
      0.480733596048657,
      0.471954081303115,
      0.387676561849298,
      0.30922958347779,
      0.39462166038358,
      0.505426756452663,
      0.359658786646265,
      0.474229213015647,
      0.309519273393924,
      0.37317696694541,
      0.226520845130672,
      0.429281353660904,
      0.262057491411289,
      0.618010844895019,
      0.124834175169137,
      0.134124361694763,
      0.270895556802994,
      0.0622759891001864,
      0.195397155282829,
      0.33639353971613,
      0.307511755994725,
      0.233471704730721,
      0.301829056657619,
      0,
      0.457354679544378,
      0.109923730777585,
      0.25532944862136,
      0.277514433434269,
      0.239330917650827,
      0,
      0.24444651196173,
      0.223555902261261,
      0.574158290423832,
      0.289751569760908,
      0.383520523467902,
      0.322156971259732,
      0.550845242210789,
      0.349213405099791,
      0.382984094998484,
      0.522689549543155,
      0.144209580257059,
      0.00446458377237803,
      0.0512869469292882,
      0.583824966968435,
      0.52721422361951,
      0.175876654689854,
      0.248344828487809,
      0.187217580279811,
      0.233333168947152,
      0.483551830718505,
      0.213215302241419,
      0.49209248267038,
      0.207335986403145,
      0.229930948585995,
      0.44685232833715,
      0.29630923880697,
      0.321415061340319,
      0.0884130311507434,
      0.241575668258159,
      0.284651971514727,
      0.418037554137802,
      0.313225052841065,
      0.568719096319279,
      0.44048613352908,
      0.508520411643947,
      0.296527636054242,
      0.153216280022692,
      0.171632161164919,
      0.0139985033937143,
      0.566280963380962,
      0.337553943609058,
      0.464065224949166,
      0.178938236279808,
      0.426737569677799,
      0.605644089489713,
      0.270630776562688,
      0.335272374042052,
      0.404156131119465,
      0.111834419671368,
      0.327917815299459,
      0.3325614464823,
      0.573467629557756,
      0.200064182963913,
      0,
      0.320204145143379,
      0.234650535795409,
      0.194101533275088,
      0.0906612038279514,
      0.105966814035438,
      0.258916769073453,
      0.341587204783714,
      0.374705950382127,
      0.514899526539179,
      0.377303704432014,
      0.308240911698461,
      0.276926850727367,
      0.36491562601119,
      0.0496077898751102,
      0.156926194300739,
      0.080979452880543,
      0.582612800661729,
      0.113739736110532,
      0.172189962824112,
      0.242634440533748,
      0.363984445326155,
      0.452254083694193,
      0.641901561629086,
      0.344642646687576,
      0.283770427247827,
      0.383519690530797,
      0.200921678197683,
      0.498442544767539,
      0.290993079959871,
      0.227823184352278,
      0.412243516862479,
      0.358682366540216,
      0.169896341271589,
      0.246271519167997,
      0.220294431048668,
      0.488494421333448,
      0.106454072141727,
      0.360620679566665,
      0.417772441792868,
      0.169897650153965,
      0.233931991965846,
      0.274343768563511,
      0.364413823727375,
      0.190672888331038,
      0.248224393787407,
      0.321151925012528,
      0.623908147098206,
      0.282345746567769,
      0.245609810904338,
      0.416402306884589,
      0.480804728345168,
      0.358250834568327,
      0.427176738211968,
      0.335266912264418,
      0.545089837141081,
      0.268147980237631,
      0.379156370894984,
      0.374844358412877,
      0.112451082135329,
      0.102277423373653,
      0.185360211255682,
      0.251028663843338,
      0.284069438864989,
      0.249885388332217,
      0.276895070908647,
      0.590232573665938,
      0.339290064325256,
      0.206111691738416,
      0.302298798728801,
      0.204877419182498,
      0.198914364985939,
      0.284566626509425,
      0.402252524163076,
      0.445753011494526,
      0.374220371315367,
      0.2289242833654,
      0.515692197587597,
      0.44525542328153,
      0.188928662576633,
      0.231482110242006,
      0.272058883370884,
      0.131735213336859,
      0.109886990412971,
      0.405777335963264,
      0.565761176232199,
      0.123892888516973,
      0.17563157739512,
      0.331759656153619,
      0.139783280423265,
      0.266877670918031,
      0.471401907667,
      0.480121069913657,
      0.28609283560897,
      0.462842736939587,
      0.36790674464905,
      0.564184753955244,
      0.429187947308471,
      0.492247041323657,
      0.452964082193415,
      0.379130466998235,
      0.157972188746708,
      0.311572539039596,
      0.269834650846979,
      0.487250239376494,
      0.102310051188112,
      0.104574333695787,
      0.246504624278378,
      0.0181850517080072,
      0.351248945306703,
      0.579744079176444,
      0.360229769431805,
      0.454204319707302,
      0.249052505592381,
      0.207778978006184,
      0.537741972660153,
      0,
      0.240825229504283,
      0.256961529092742,
      0.0720381584723013,
      0.0744164556236911,
      0.23801470624338,
      0.255847750497011,
      0.403296142074673,
      0.451064725309909,
      0.529173929714378,
      0.49847246484275,
      0.399470643420602,
      0.203840258874944,
      0.305249587246823,
      0.51799511776452,
      0.0700193081732265,
      0,
      0.0583922286853765,
      0.624588666241601,
      0.413832494295264,
      0,
      0.267223652911481,
      0.224493345509895,
      0.24145103175049,
      0.300078280592383,
      0.242242100780086,
      0.216829613557951,
      0.341013000098076,
      0.503059930399496,
      0.460673992534452,
      0.472527178461062,
      0.32201784207175,
      0.190958448951241,
      0.346632037677745,
      0.244511018801593,
      0.294841035426696,
      0.384771795918518,
      0.573818095960592,
      0.354058341143842,
      0.101522223994599,
      0.37653412335798,
      0.097232472374101,
      0,
      0.124082190467026,
      0.374929145569486,
      0.485154169907009,
      0.476691859715573,
      0.323992496497379,
      0.610542303155959,
      0.516797553656994,
      0.280436674477114,
      0.259275879086464,
      0.131286461808886,
      0.186105047482525,
      0.256400524744666,
      0.427279797397673,
      0.48584732468312,
      0.374997232010546,
      0.323998165745444,
      0.352772483954993,
      0.196891875096646,
      0.169763542576288,
      0.132187597691569,
      0.183991642370691,
      0.221379394789969,
      0.119540149793058,
      0.449910352295398,
      0.57591378415961,
      0.301704206534559,
      0.263743920487211,
      0.296683222955389,
      0.299933235437525,
      0.128947379215159,
      0.109539698372428,
      0.322151295098367,
      0.390657852353231,
      0.0619742287627369,
      0.104152767288527,
      0.312362204829191,
      0.447112084896953,
      0.252428743256684,
      0.583389372929674,
      0.3670803036892,
      0.330433569071014,
      0.435822609184972,
      0.153563739543995,
      0.576384637793196,
      0.266443576646097,
      0.229198966878316,
      0.358489893224068,
      0.427688597545287,
      0.176466243081378,
      0.252660112309447,
      0.275136384621664,
      0.239503247458779,
      0.119609807317075,
      0.381202517247978,
      0.507563485678134,
      0.188612545388247,
      0.291337641035258,
      0.279628860248392,
      0.280653793774441,
      0.0875775371269078,
      0.240605147623051,
      0.256372901734031,
      0.580860570396324,
      0.276620072387947,
      0.24129141558183,
      0.529898708774641,
      0.174032212454938,
      0.255651320638172,
      0.404647458002645,
      0.386488059522283,
      0.461461251601176,
      0.211328868176587,
      0.245529706213193,
      0.546231393369448,
      0.141701840453146,
      0.213859867881918,
      0.225007989106423,
      0.159340964461666,
      0.299119900184413,
      0.225470895097762,
      0.252205352679378,
      0.496878902772339,
      0.342628202424996,
      0.261993566899463,
      0.497601278741663,
      0.477178512546549,
      0.283831207075701,
      0.472137134641135,
      0.292577359665963,
      0.527535991708928,
      0.407988262158527,
      0.372489223963793,
      0.636351850386579,
      0.501068114416815,
      0.134919046827398,
      0.222354044229372,
      0.452100253689167,
      0.278832440028245,
      0.170870555044237,
      0.397218634568252,
      0.378940110239922,
      0.150867359718147,
      0.176594831838811,
      0.589000345441796,
      0.366782949206291,
      0.248639817553313,
      0.463686289393369,
      0.472829850355968,
      0.255221316002797,
      0.468170732911353,
      0.31432659385803,
      0.583527410325633,
      0.41808516065824,
      0.481596625439718,
      0.368209637851113,
      0.369446234363405,
      0.0960466812814996,
      0.166166892122216,
      0.239383627879066,
      0.257897554146196,
      0.148974973974878,
      0.114544235542555,
      0.458422749439591,
      0,
      0.335190715043028,
      0.606919339222759,
      0.413577915243287,
      0.241717878003822,
      0.27273119167324,
      0.100006324264371,
      0.566513138525912,
      0.256122260189504,
      0.234020030242876,
      0.56889908306187,
      0.147967523510129,
      0.487110480924524,
      0.278942993150424,
      0.242913191974236,
      0.0772766059709085,
      0.22010393618674,
      0.0245424121008064,
      0.516623830797107,
      0.0280937076880168,
      0.054004767377889,
      0.273584576101674,
      0.20597077492761,
      0.387483017774411,
      0.0707261440734892,
      0.25689671083465,
      0.488151233831522,
      0.21022673539064,
      0.113805748471436,
      0.274250050933772,
      0.083632851488538,
      0.197444739444322,
      0.206824530679865,
      0.252504396028196,
      0.142053799290485,
      0.257524593311069,
      0.207398280183677,
      0.580392942413962,
      0.294188681150526,
      0.0973206739666775,
      0.283594568674015,
      0.255732686430888,
      0,
      0,
      0.164492997698653,
      0.392708848583218,
      0.334977859387732,
      0,
      0.480693546320511,
      0.161170957405699,
      0.154276213325901,
      0.463440841501563,
      0.306550338049032,
      0.368097709494315,
      0.437251016432762,
      0.336821990346952,
      0.629786991556988,
      0.471928336683195,
      0.319431124237499,
      0.382923249493604,
      0.25776948197828,
      0.191500610072035,
      0.407660418927224,
      0.179376705779663,
      0.16735014852052,
      0.169295955862728,
      0,
      0.396195357097738,
      0.489700497476001,
      0.521332512911055,
      0.592346638018858,
      0.354481406073488,
      0.554011638270869,
      0.278621744844741,
      0.291504280659359,
      0.403597953717193,
      0.451350169545358,
      0.313718194326454,
      0.239456522060583,
      0.183531681682883,
      0.247203049580355,
      0.243201525883187,
      0.362247602370134,
      0.109299404429608,
      0.377040697928806,
      0.354999321384541,
      0.173442435326174,
      0.247695456228034,
      0.175211689665282,
      0.314783834825041,
      0.564272640990914,
      0.526395108776004,
      0.412058592823234,
      0.259964267887996,
      0.568842166659897,
      0.525630567291197,
      0.247624597861916,
      0.321775197481709,
      0.481140967100935,
      0.630750327580167,
      0.172248569888211,
      0.480889373907214,
      0.316104179152776,
      0.0390652899793642,
      0.224618383710212,
      0.407198955353599,
      0.322485075893611,
      0.292537672104364,
      0.101369110557479,
      0.157694359551872,
      0.357623315667553,
      0.264138640593395,
      0.333667308286574,
      0.351603632150821,
      0.299293666688417,
      0.174564994621118,
      0.478866657715938,
      0.377661158444094,
      0.544342525083007,
      0.449089862203849,
      0.196216278423488,
      0.372716524181105,
      0.471528336220866,
      0.5005798241128,
      0.369018660305964,
      0.332535516559902,
      0.217853713700716,
      0.205057700797267,
      0.377426499204729,
      0.602567991926486,
      0.326125796413302,
      0.259571674212155,
      0.356340804811253,
      0.259153064383568,
      0.477918430058106,
      0.434950773039564,
      0.407961164783141,
      0.456116342145922,
      0.513259777508382,
      0.376387460940444,
      0.505824100940567,
      0.469924143624197,
      0.403696206576726,
      0.49214856075784,
      0.316744174299006,
      0.344466834506937,
      0.441889212558914,
      0.308728807884438,
      0.656002911204647,
      0.179364211051154,
      0.284346849996451,
      0.359394048598241,
      0.196304168571246,
      0.200420230760793,
      0.476176880762525,
      0.499031298464718,
      0.30223140049586,
      0.440904459166394,
      0.0894166289807758,
      0.484113404834142,
      0.140822199333942,
      0.404114738441962,
      0.461424498576388,
      0.221773784480134,
      0,
      0.206899706844127,
      0.310438975397061,
      0.635069973272623,
      0.265222103884773,
      0.418423150878299,
      0.35220122703193,
      0.473473353988706,
      0.359453928091323,
      0.366895320333942,
      0.4883715175795,
      0.35513663988068,
      0.0966719224531061,
      0.157967109682283,
      0.583666968177715,
      0.514098336075217,
      0.211326252323014,
      0.314580077448693,
      0.226827315921735,
      0.322484025057435,
      0.499305359459314,
      0.427128849337102,
      0.560559688660415,
      0.172809876797787,
      0.349607991649021,
      0.461836312794512,
      0.429158316651679,
      0.361328433533794,
      0.139093143781083,
      0.187998563145633,
      0.366136807421654,
      0.364578453394167,
      0.303293116762722,
      0.640359657358574,
      0.396465702131909,
      0.502867517403347,
      0.33101322884051,
      0.118372184392639,
      0.142681546607847,
      0.148382448420009,
      0.586001038243126,
      0.382453515598264,
      0.585422816335363,
      0.282444907161355,
      0.499872410459325,
      0.596478441107841,
      0.391844137487825,
      0.243687971974815,
      0.410328993228092,
      0.280353081818077,
      0.336353122037304,
      0.288420540824299,
      0.621742348493168,
      0.159345647735688,
      0.0285791966451588,
      0.306589046021935,
      0.218777924583984,
      0.329726689968735,
      0.284777644794679,
      0.270322899698897,
      0.362428244093034,
      0.503285221545457,
      0.495247197399086,
      0.528058281646003,
      0.374697319440818,
      0.33174893708808,
      0.308837314563562,
      0.371060908834997,
      0.322988127974639,
      0.283483246555215,
      0.103676454616706,
      0.630301816235879,
      0.231028020731606,
      0.209587542811699,
      0.300950160231819,
      0.442097785579028,
      0.417505561687736,
      0.480819991928957,
      0.38796902073119,
      0.546699405260965,
      0.567449139929265,
      0.370441622504369,
      0.598085590618319,
      0.304023522248364,
      0.223570775147821,
      0.414869645924263,
      0.46880276652958,
      0.152984202105647,
      0.265287123053443,
      0.266149994533596,
      0.554690159010079,
      0.057906302688624,
      0.389063490942379,
      0.371342344631903,
      0.257515821105208,
      0.350492142742957,
      0.276426442144651,
      0.307010331474259,
      0.229291615467376,
      0.275783694838023,
      0.433360480437165,
      0.676313089256339,
      0.482147724359619,
      0.236349376907624,
      0.594059025372201,
      0.461905399330768,
      0.350465427021665,
      0.38923355954313,
      0.418915577423407,
      0.665043804255486,
      0.427202744583491,
      0.47854388729478,
      0.414319962159081,
      0.177584449857287,
      0.246490085409471,
      0.352252147690141,
      0.31059506790367,
      0.297455038761983,
      0.254873918788536,
      0.243271016535497,
      0.639847585152359,
      0.368077706280664,
      0.340452448022427,
      0.3417360995448,
      0.232566998361604,
      0.218733935039725,
      0.508637922978596,
      0.428460782866603,
      0.386740581502639,
      0.508135794844204,
      0.217473239897071,
      0.530879681643253,
      0.463118189178697,
      0.477761143677396,
      0.386797864799931,
      0.339752019696644,
      0.291136602818409,
      0.211185828139922,
      0.351637082046178,
      0.616267870240963,
      0.39569975140734,
      0.240175550844521,
      0.351690694589206,
      0.20009681749585,
      0.462005136473171,
      0.428984200444872,
      0.413146177672914,
      0.35632978796705,
      0.539196784538997,
      0.359632921100998,
      0.607388860584738,
      0.466551776291529,
      0.418973479361763,
      0.561175692864786,
      0.412034232168575,
      0.296798368312452,
      0.369458456713325,
      0.324636902086745,
      0.548047867169235,
      0.279698591287164,
      0.261000768323213,
      0.352065458661735,
      0.139019017099764,
      0.469947615694676,
      0.549004767470932,
      0.50623460933484,
      0.511768074831354,
      0.301488019676579,
      0.315750366041147,
      0.617116015623721,
      0.100434019491626,
      0.21040354564688,
      0.301045029374072,
      0.140024848564706,
      0.0853072502692921,
      0.202189609438225,
      0.265237951372355,
      0.454925969224641,
      0.472637110032985,
      0.492089329021403,
      0.549207441658583,
      0.469459505640281,
      0.273835217601483,
      0.341040689742181,
      0.449828058615768,
      0.334055574278613,
      0.0724836506599553,
      0.164727202012013,
      0.656476370465053,
      0.511741943367259,
      0.0392928955216575,
      0.29611769872123,
      0.289038958814132,
      0.291508569820392,
      0.518663079049195,
      0.355488587286919,
      0.226949207633699,
      0.273746385676895,
      0.504103474402772,
      0.509368440689746,
      0.464051844515938,
      0.242796927210026,
      0.221778747425542,
      0.35337416994279,
      0.301497120905348,
      0.288285304810956,
      0.439759083087209,
      0.61749249181143,
      0.371364648952099,
      0.164490089938686,
      0.321114091317367,
      0.302189434470116,
      0.0783040653187227,
      0.158279051243491,
      0.344068366653848,
      0.501756378897256,
      0.499664463812505,
      0.490642979979725,
      0.607746616684724,
      0.559479086232811,
      0.329735714521007,
      0.276441000391927,
      0.240178346341268,
      0.427160005611601,
      0.296387665806994,
      0.420707216287011,
      0.553560050252694,
      0.330910574620339,
      0.199402064243912,
      0.353881646193852,
      0.188938937567841,
      0.261420571802108,
      0.280351444190856,
      0.27209458626886,
      0.278076045710932,
      0.25161707384063,
      0.474140954201236,
      0.639302025079532,
      0.326123303341626,
      0.265058004412266,
      0.322786063999646,
      0.302584210777239,
      0.355413792436354,
      0.320083400629922,
      0.271184342692872,
      0.446378362102815,
      0.187332631765051,
      0.209988484554596,
      0.212291431977272,
      0.467177127997788,
      0.341360008555317,
      0.510691243798004,
      0.339207857275573,
      0.520229584565242,
      0.534453958215514,
      0.296080848563417,
      0.646645789333141,
      0.333475175045149,
      0.260653049673994,
      0.411448920110996,
      0.405438124397053,
      0.152292771413564,
      0.265831281448003,
      0.277318096887709,
      0.250782768269975,
      0.141329726759208,
      0.416555937213304,
      0.507207203637883,
      0.255250708819481,
      0.390509349966445,
      0.302620828650896,
      0.305019147458432,
      0.222626693836985,
      0.294858995347541,
      0.426165246561704,
      0.641424374805448,
      0.479644739293953,
      0.380594841482033,
      0.652000637636009,
      0.214291637757899,
      0.259851071485992,
      0.382121455402477,
      0.336439142932267,
      0.571010802445977,
      0.422637770396322,
      0.286970338448777,
      0.528805853902518,
      0.183709190110085,
      0.308449475518938,
      0.449475899391725,
      0.316383637849489,
      0.383048109080346,
      0.222822198399448,
      0.329264361626755,
      0.567653586619135,
      0.398653460409735,
      0.3671186571166,
      0.457249228486918,
      0.4051575676196,
      0.316701535371833,
      0.53235999826127,
      0.42347473321517,
      0.505776177094604,
      0.509281458719846,
      0.359796626117006,
      0.655606407004113,
      0.555648381016941,
      0.40677849089869,
      0.408914161525995,
      0.445546125571546,
      0.367535436886674,
      0.318821772830483,
      0.443540454022084,
      0.44298623699209,
      0.371913248523983,
      0.209247200747234,
      0.596060810929199,
      0.507870599549316,
      0.464878929816261,
      0.403180829630443,
      0.399560806809604,
      0.364370815366568,
      0.474633679725489,
      0.365648021434466,
      0.640523320427647,
      0.418911688518742,
      0.418907662998682,
      0.345201706723784,
      0.42351920418736,
      0.219874978589491,
      0.316219547731854,
      0.29675466291933,
      0.273131426132174,
      0.307512053200548,
      0.300630443652307,
      0.4499705520644,
      0.139939391105457,
      0.490164803072298,
      0.541197738894471,
      0.471741012882789,
      0.315816112194552,
      0.294846284244027,
      0.151329798302658,
      0.626439305193078,
      0.44468031995387,
      0.197573592885706,
      0.555206425802911,
      0.30465332458226,
      0.489701774212376,
      0.228537129052947,
      0.270621241384514,
      0.13032663959026,
      0.317071966449256,
      0.275690454771149,
      0.584784357057482,
      0.226883826646481,
      0.136676373397687,
      0.303174101080818,
      0.23222062683962,
      0.449416607663615,
      0.124826006062207,
      0.261053743409451,
      0.540376895554772,
      0.241124948471562,
      0,
      0.353765381092269,
      0.158269243571952,
      0.196997841303859,
      0.222893698904111,
      0.237392282869813,
      0.295676238142614,
      0.251084525020423,
      0.231674925721977,
      0.598470148718116,
      0.433496910909286,
      0.155781713525397,
      0.303877337976808,
      0.28600327568305,
      0.0912259310162014,
      0.0193976480382275,
      0.175689620230344,
      0.450106105852009,
      0.36758348392341,
      0.261115053055644,
      0.437025767750668,
      0.192947530082965,
      0.171244949407105,
      0.588323931040333,
      0.320201178339697,
      0.292480699763557,
      0.352264082597591,
      0.283409514734436,
      0.664072326746758,
      0.391089225611643,
      0.234263948589942,
      0.290586065147716,
      0.336461871079323,
      0.118637860095617,
      0.402370228993006,
      0.23455604772369,
      0.34111435257107,
      0.223099687514214,
      0,
      0.369390702093449,
      0.448940851430079,
      0.558768922709367,
      0.645899464829108,
      0.389670147034623,
      0.64631597644753,
      0.429669868190301,
      0.267041718197844,
      0.31844106471337,
      0.468084782970977,
      0.322392866316933,
      0.290968007873081,
      0.195509596913762,
      0.447344216308937,
      0.215513197538681,
      0.43019940299372,
      0.297673844798568,
      0.492342263281029,
      0.434763039000886,
      0.295027596244094,
      0.255850755739345,
      0.339024536497334,
      0.41861615768633,
      0.596695342720475,
      0.679091490932071,
      0.505384011247593,
      0.405008275847514,
      0.63607594730429,
      0.594645564481354,
      0.252055674807118,
      0.208769458966483,
      0.450630701389982,
      0.64846678409597,
      0.165197185613501,
      0.420577881628653,
      0.347856619168575,
      0.11831918674903,
      0.273456180988615,
      0.423990109676749,
      0.447886354828834,
      0.37565940022866,
      0.187899111565413,
      0.263150004130256,
      0.498928760985625,
      0.415635023144103,
      0.436955802228945,
      0.46283525551001,
      0.382804700845027,
      0.205739576064442,
      0.503841914954949,
      0.457342540417375,
      0.516137986419722,
      0.472100635310608,
      0.215169682670414,
      0.476779981509623,
      0.398763730357804,
      0.554656893515316,
      0.503159562906774,
      0.424655026903559,
      0.333030618125049,
      0.355794227400817,
      0.442160227891915,
      0.601323640684515,
      0.459757668864436,
      0.35561417101884,
      0.47874033873956,
      0.385073272983877,
      0.51051747918744,
      0.433760558337848,
      0.341115216901429,
      0.485895197183815,
      0.648916680814035,
      0.434690065335979,
      0.515653790973656,
      0.504447750046186,
      0.304549972428798,
      0.574575986720105,
      0.363388817502434,
      0.50031736168099,
      0.46584104551658,
      0.387993957458828,
      0.581256333653486,
      0.311386814972629,
      0.441012209553568,
      0.507256154568035,
      0.292650062897556,
      0.36131998301045,
      0.625796710220124,
      0.646485606507931,
      0.428653726399973,
      0.542071007709499,
      0.148944201375085,
      0.546079327968431,
      0.261729113802121,
      0.486416034378289,
      0.615263419011114,
      0.254729977505766,
      0.0333465445986355,
      0.313676016515908,
      0.370637755722647,
      0.618558641673214,
      0.338113958705823,
      0.508860860398952,
      0.45496081048598,
      0.471199485256745,
      0.457963242890758,
      0.481565178025141,
      0.378813590742775,
      0.49056169870866,
      0.238061717437436,
      0.320118959253788,
      0.482910192257903,
      0.497102598651701,
      0.252823508416034,
      0.356104791985447,
      0.246769011491,
      0.462136677769715,
      0.394468933712568,
      0.599406124451557,
      0.522196125603448,
      0.268302465947727,
      0.369891934791722,
      0.411348591580692,
      0.516904459280935,
      0.359438554653815,
      0.328782113412403,
      0.240207892420588,
      0.395665066585495,
      0.469955080353982,
      0.451344396453422,
      0.600750034585815,
      0.371648457275167,
      0.485524363562965,
      0.436306529941752,
      0.175100478964684,
      0.160187992399422,
      0.305529936817222,
      0.635693297254334,
      0.45686004812271,
      0.64792626556586,
      0.438717776579868,
      0.53955378900582,
      0.500817897334947,
      0.52816596481531,
      0.286689418073807,
      0.495704944687812,
      0.382030222507627,
      0.450943912995254,
      0.403058555190349,
      0.5410097172642,
      0.390711975135656,
      0.0816405111728542,
      0.404884358833442,
      0.206762632131984,
      0.440723470226631,
      0.443198355578761,
      0.426388401011274,
      0.473808968684236,
      0.557844704498003,
      0.589806222773159,
      0.574939360322899,
      0.445302845073575,
      0.317493337471845,
      0.381460161543065,
      0.393035315127792,
      0.480098374889917,
      0.454306768037559,
      0.23257211909465,
      0.570524544815857,
      0.336716742701413,
      0.29288527729782,
      0.406752017534724,
      0.534873614808827,
      0.426770847769501,
      0.389792722007764,
      0.382992781694629,
      0.662833551677104,
      0.591126554824274,
      0.373627521188641,
      0.711074944764514,
      0.371014486131784,
      0.301528347688033,
      0.343889077853332,
      0.490272980423409,
      0.150715381102993,
      0.392308673124834,
      0.369374472688447,
      0.516199895331971,
      0.134284189147153,
      0.476719907195212,
      0.434142759210134,
      0.461997506432366,
      0.44420428218391,
      0.306673396247325,
      0.332594495733165,
      0.317483273116178,
      0.421053958607112,
      0.465470100771374,
      0.635465421138448,
      0.535379761539496,
      0.472754391702102,
      0.659844527188506,
      0.385800493296572,
      0.384208179571262,
      0.276061997343285,
      0.429588871394189,
      0.587309311538495,
      0.534892310928218,
      0.4312776247898,
      0.54022498932981,
      0.190722094263978,
      0.324321500694319,
      0.420830584375549,
      0.47602294653426,
      0.304353591839286,
      0.28841788069746,
      0.475779137972183,
      0.571923854712622,
      0.433437335418112,
      0.431982193611733,
      0.487746407975917,
      0.392728449684348,
      0.261348835730062,
      0.664629180691626,
      0.603980079074759,
      0.466034556820365,
      0.460551911953437,
      0.202991127696813,
      0.61123180484152,
      0.426917293849149,
      0.519058392180555,
      0.520601831653275,
      0.468722579978058,
      0.365788119824603,
      0.385061499882297,
      0.537906539365504,
      0.536509059359087,
      0.500428481587129,
      0.251886256714372,
      0.562649260023529,
      0.41989797535117,
      0.531558739990656,
      0.486518678044168,
      0.476423267609597,
      0.491328189515126,
      0.656023254564,
      0.426433150473654,
      0.619909082767713,
      0.45736473965064,
      0.333925906615022,
      0.552883585140478,
      0.478468412749501,
      0.459289094990139,
      0.395184498124949,
      0.46139003296587,
      0.56015818881142,
      0.445392043287683,
      0.422626969883495,
      0.4914515970751,
      0.281489944123113,
      0.52393857488122,
      0.542430493439009,
      0.654178365587068,
      0.524404030247069,
      0.347993141174921,
      0.456684393654209,
      0.602453978774303,
      0.250058639134584,
      0.291863662502411,
      0.229429039993384,
      0.260109749309584,
      0.145533721749272,
      0.298243287870891,
      0.332511794560345,
      0.500954934177121,
      0.432844680133124,
      0.472122864944344,
      0.595633426826966,
      0.520371714309786,
      0.344805700078239,
      0.410077825989411,
      0.469067350040933,
      0.509563335353712,
      0.227450954095733,
      0.302337815186752,
      0.585010881529626,
      0.544571096927615,
      0.0341239386114292,
      0.361968596163471,
      0.276899596582918,
      0.37302977355585,
      0.658747607418565,
      0.390903110430903,
      0.256574807376253,
      0.337505003744999,
      0.531358762663216,
      0.596796740270132,
      0.450204351816737,
      0.239085697239204,
      0.344881520511965,
      0.410465416339658,
      0.432122671328836,
      0.362263033237934,
      0.419290272363348,
      0.544906849399031,
      0.3608374504613,
      0.303799442782061,
      0.456190484906372,
      0.444155627797499,
      0.208195151824621,
      0.290449018681689,
      0.460503951053415,
      0.556067031323639,
      0.574949651466924,
      0.636888098761314,
      0.511791888065281,
      0.470680117366769,
      0.415869640897275,
      0.211091954781225,
      0.342702600483751,
      0.560022985360191,
      0.260408759308761,
      0.57439458711013,
      0.517363559580993,
      0.332923866938,
      0.19769123171484,
      0.451178274181357,
      0.235289345532231,
      0.395913734214485,
      0.436911184561976,
      0.406764736592152,
      0.351799724743789,
      0.31853023652464,
      0.521466386937567,
      0.604321047113324,
      0.396195199058927,
      0.304166058827466,
      0.422016640110672,
      0.308145388680607,
      0.50221080293757,
      0.478525702440205,
      0.26476821307282,
      0.445086790352143,
      0.332339542994358,
      0.298227692913079,
      0.344697363336907,
      0.5543664363282,
      0.439780728762393,
      0.370096123772324,
      0.438482249130052,
      0.661863835419929,
      0.623254989124932,
      0.304610158400768,
      0.59579926792993,
      0.435415328138879,
      0.353092936369617,
      0.383047018533536,
      0.330386794189063,
      0.0801809817871351,
      0.405710146734143,
      0.264175591206166,
      0.468045729260432,
      0.148176562315671,
      0.448250558966179,
      0.552690569073086,
      0.428978932795091,
      0.456165835876868,
      0.335976495092213,
      0.246386044638927,
      0.35907852516508,
      0.515752730818188,
      0.533753566015123,
      0.684693765898793,
      0.573756325678185,
      0.515185820654701,
      0.656204904385602,
      0.263642673342728,
      0.363765634333079,
      0.230777717591873,
      0.323057813185392,
      0.504565620191123,
      0.532213002812788,
      0.36040166088917,
      0.558512254120738,
      0.265008780414808,
      0.318593446900168,
      0.491445417937666,
      0.51182292097627,
      0.421909799011502,
      0.313247541671777,
      0.568840593327097,
      0.53747704289545,
      0.416724747956654,
      0.398821528325717,
      0.569733128115554,
      0.36279211640442,
      0.473474598306576,
      0.640309033915735,
      0.587224584844419,
      0.532809933722897,
      0.47310295415128,
      0.268834106735973,
      0.550189809459694,
      0.460791803313421,
      0.427068533639651,
      0.511407493193314,
      0.48689927973781,
      0.425170739704274,
      0.423058746448436,
      0.636701408415665,
      0.539621426557034,
      0.496445475052014,
      0.215291332380572,
      0.597941599854207,
      0.655013194453107,
      0.495577899146317,
      0.466285069419067,
      0.435333909495127,
      0.471033943555154,
      0.582716672567011,
      0.490193791402779,
      0.575487387372785,
      0.42150454646706,
      0.343719678498358,
      0.450352970594872,
      0.462402197626022,
      0.361313631503987,
      0.399369626197664,
      0.435792191997564,
      0.369759448370771,
      0.429860049082111,
      0.458450211409026,
      0.539418352623163,
      0.289739172046973,
      0.545104611695449,
      0.366832584924801,
      0.632231496703702,
      0.43602555669366,
      0.316730142579479,
      0.178660099200922,
      0.554331939795846,
      0.537459591548336,
      0.3268747657024,
      0.543807347634092,
      0.307423649023232,
      0.392821635072095,
      0.369927423167984,
      0.33369425613365,
      0.193823539683622,
      0.402829335101429,
      0.408813022852572,
      0.604066366988721,
      0.296496039185499,
      0.247136500925555,
      0.29203849494834,
      0.19339868527811,
      0.41307060679104,
      0.308696413097201,
      0.36139915300263,
      0.529466952241954,
      0.3174143701785,
      0.00386933218831281,
      0.411335586021521,
      0.225342812971203,
      0.279805855837143,
      0.287029992884978,
      0.305485238744107,
      0.394482065539029,
      0.32677414110879,
      0.35226708343257,
      0.52515235998967,
      0.435233801477953,
      0.16131734397202,
      0.347527026601787,
      0.274379196335857,
      0.246947388487699,
      0.161037249475083,
      0.147369283278907,
      0.462173645053602,
      0.386741398934126,
      0.335464921537638,
      0.50953362861638,
      0.297572124587012,
      0.219178135800702,
      0.609992262373723,
      0.418680727649345,
      0.31634624408214,
      0.330003124838804,
      0.26739929002999,
      0.570845766880813,
      0.380515564194642,
      0.248680433462592,
      0.309749513569502,
      0.326064459876424,
      0.139712029303686,
      0.387779956774901,
      0.344476054587045,
      0.503226878586548,
      0.395699130109667,
      0,
      0.380934168635275,
      0.523131126400992,
      0.50623458366544,
      0.55486389155958,
      0.362081710267887,
      0.672101020837881,
      0.443868728280672,
      0.332041202357,
      0.172518744226997,
      0.324456643340237,
      0.232577531690277,
      0.228214667751663,
      0.221697361660323,
      0.442369240891306,
      0.197547780767034,
      0.386412788566766,
      0.284502103655865,
      0.47705446068414,
      0.446355368933188,
      0.281692837931947,
      0.304876784313999,
      0.441174276653982,
      0.521342398572343,
      0.519628534743372,
      0.651202869520577,
      0.571048469235253,
      0.404762703307616,
      0.510968863200262,
      0.585026646219344,
      0.158381524682434,
      0.256319422460629,
      0.292552489004002,
      0.598539294239304,
      0.203675934334173,
      0.319903576761353,
      0.389315384178656,
      0.132105956606263,
      0.181595960192345,
      0.38851164382732,
      0.402124877508917,
      0.364010215406341,
      0.151786007578608,
      0.315872263419438,
      0.443912982953999,
      0.349879436548971,
      0.364772746046904,
      0.401605653147341,
      0.429047180124679,
      0.214642684885608,
      0.508815665928606,
      0.4298787812186,
      0.53066313105113,
      0.503442731836701,
      0.237272015712219,
      0.486517985308174,
      0.256763725943951,
      0.38512056065053,
      0.449876816799163,
      0.537676467495618,
      0.257324584442027,
      0.362215008931587,
      0.407092759667786,
      0.660654096301865,
      0.442914586588377,
      0.289516751107003,
      0.474074554558638,
      0.402802927590817,
      0.415536881578652,
      0.318823395283119,
      0.441197907460659,
      0.433348697149656,
      0.594477425539885,
      0.390628163050037,
      0.558137071098567,
      0.472549234598083,
      0.272308222096342,
      0.453644105148221,
      0.342955672499417,
      0.450103891105553,
      0.477262745521191,
      0.356399917744477,
      0.607623929770421,
      0.364571181811383,
      0.385123835316058,
      0.460583659443424,
      0.319332093355147,
      0.347488087241014,
      0.565497104157096,
      0.576695309560299,
      0.574839974054359,
      0.53269264705967,
      0.164025264023652,
      0.613599438105049,
      0.189340987331988,
      0.508478593611584,
      0.550539147073634,
      0.225007328021989,
      0,
      0.238222573292281,
      0.322101111802323,
      0.613571291688898,
      0.408626240258223,
      0.504362690835107,
      0.442651968226198,
      0.498329975568162,
      0.485539668921539,
      0.468356172611072,
      0.333987648853936,
      0.425580992741905,
      0.177454571845861,
      0.288364311493655,
      0.544620208490272,
      0.469000484108356,
      0.236002974951694,
      0.350100655171036,
      0.215407260727407,
      0.397657074300368,
      0.421311782830861,
      0.544378698555412,
      0.53966429553142,
      0.184142951009799,
      0.343745518672841,
      0.41734202133038,
      0.457724031369057,
      0.352332825734468,
      0.302148194930588,
      0.232887208515444,
      0.321142456881458,
      0.530906808644477,
      0.501223994773277,
      0.675178089274957,
      0.449152631425978,
      0.405336325759116,
      0.410931066749517,
      0.152812865791533,
      0.124719556440013,
      0.242820104342719,
      0.562074778146979,
      0.411169015948644,
      0.544688719137989,
      0.375284256239487,
      0.540402839313246,
      0.368878198677479,
      0.522808963420324,
      0.233967024935624,
      0.530146479708005,
      0.30283805020985,
      0.553875906679274,
      0.383393589608417,
      0.639851142846955,
      0.484753001597222,
      0.0766443797242349,
      0.422464877882444,
      0.176859081315863,
      0.355318423524325,
      0.37949811286416,
      0.373716198407312,
      0.416941203818041,
      0.461434748845205,
      0.507721377602653,
      0.632622950257964,
      0.335513893083133,
      0.347394315576681,
      0.344335257992289,
      0.456758952413592,
      0.411145910990936,
      0.3996176692133,
      0.172789947963637,
      0.584046737923622,
      0.333678294172754,
      0.279081264140721,
      0.460571743642157,
      0.451222841319931,
      0.372491616488859,
      0.429451714288487,
      0.456351352104356,
      0.592850834626765,
      0.595725971502139,
      0.1948132122677,
      0.725430644885518,
      0.354753328843466,
      0.374535715134967,
      0.241946252109934,
      0.330549381600121,
      0.106984649937718,
      0.350086128839626,
      0.338597202057348,
      0.492859113758306,
      0.155661831341058,
      0.460995166544344,
      0.44479490036757,
      0.485028053027261,
      0.439341558294448,
      0.29116076142453,
      0.308937199598156,
      0.451535738698889,
      0.521610187576445,
      0.456487685248122,
      0.619747384678545,
      0.533361568322534,
      0.498011681843987,
      0.5360619344361,
      0.399456347097398,
      0.393173471690094,
      0.285290186994332,
      0.222252014458407,
      0.567705690287983,
      0.423942082089388,
      0.41675428930948,
      0.519420739429855,
      0.206897610025542,
      0.239204157492257,
      0.394986375858224,
      0.423087125025371,
      0.229227169335731,
      0.271596068424161,
      0.60540740023367,
      0.647196014724533,
      0.463871501743779,
      0.320413601820412,
      0.450814624008637,
      0.498377717639644,
      0.286507406721302,
      0.622121852075186,
      0.616114715896086,
      0.461520121343729,
      0.451206825231673,
      0.16725618244599,
      0.598898707170606,
      0.424033845522611,
      0.324329151408897,
      0.470403392847751,
      0.526060349841298,
      0.285380459895943,
      0.370822722955487,
      0.66228628760518,
      0.603244181463854,
      0.491078016747314,
      0.285113825993462,
      0.633781573927988,
      0.4357285480141,
      0.473659137374654,
      0.395980727723147,
      0.504163222167198,
      0.427286573873566,
      0.613672151544638,
      0.434459941322768,
      0.673967216811505,
      0.437285029908045,
      0.352983528331247,
      0.436442960187939,
      0.370188916494172,
      0.41005618420029,
      0.490790350509537,
      0.405049229362661,
      0.563224154838578,
      0.439508319087044,
      0.365049565710257,
      0.446302722853312,
      0.204533241005446,
      0.493329677358359,
      0.503304206311371,
      0.583965533349487,
      0.410429457726417,
      0.303045205417117,
      0.409204655955955,
      0.67049566267182,
      0.179399521750734,
      0.240409077486296,
      0.291993808168392,
      0.199908650755187,
      0.110293237431322,
      0.246321161782307,
      0.34300831562448,
      0.482728328893112,
      0.531112309413003,
      0.573593504284519,
      0.490509067964731,
      0.54938049576286,
      0.281855492957496,
      0.403574548027831,
      0.457670486291673,
      0.458188511221281,
      0.173521042591938,
      0.27382241093144,
      0.610269851382159,
      0.434659454491234,
      0,
      0.388740119222425,
      0.277243829324962,
      0.326220720763689,
      0.593013170936712,
      0.348592398877871,
      0.283621067880251,
      0.234661244197907,
      0.570992150578004,
      0.565525824734978,
      0.463352621343271,
      0.312854817393934,
      0.335009153986675,
      0.425693225926554,
      0.424750614083983,
      0.344093663203875,
      0.38138426524602,
      0.604319762538759,
      0.462894490253693,
      0.265686840172059,
      0.53458918155718,
      0.367124951444814,
      0.182042320058932,
      0.255186673682543,
      0.414844946121932,
      0.485619510884821,
      0.477869883406472,
      0.594728742546817,
      0.553228021932237,
      0.40527899062754,
      0.479299131327822,
      0.247252450120297,
      0.326957290940367,
      0.492243224977605,
      0.216330517993123,
      0.513550720628038,
      0.53012815512419,
      0.390535502267251,
      0.149968638327057,
      0.516061286065607,
      0.231463518033922,
      0.338031112273662,
      0.369409486510412,
      0.328296903703466,
      0.30142270031295,
      0.281639969159806,
      0.469439757314968,
      0.666225950902612,
      0.332698351295583,
      0.274440771712814,
      0.39139646499797,
      0.310104182486257,
      0.428432509164064,
      0.417157503825657,
      0.198924683749292,
      0.419717112392868,
      0.269389763014005,
      0.218787141535286,
      0.402625886866081,
      0.463723222921948,
      0.374608852960448,
      0.462569702845112,
      0.422293772916525,
      0.590032911558517,
      0.620534409855844,
      0.326030567538206,
      0.669111966981839,
      0.413530727874056,
      0.372231958713662,
      0.362645084435104,
      0.26334649707957,
      0.0823604983218851,
      0.375801935693682,
      0.313346198840805,
      0.560823618834482,
      0.128750185210833,
      0.417938204555956,
      0.606363386170044,
      0.451435984336756,
      0.371524951479016,
      0.342963238713238,
      0.286711511298685,
      0.432141957192907,
      0.583679707987791,
      0.487488869877334,
      0.588841924394025,
      0.519663618599353,
      0.496251166983788,
      0.533340766287686,
      0.273761589854498,
      0.303161666297863,
      0.175022483188326,
      0.333038270566651,
      0.524936811441194,
      0.41319483273955,
      0.387856146919517,
      0.531447947351262,
      0.178792568897128,
      0.258423004734015,
      0.422664726634472,
      0.489485818322334,
      0.319605394084092,
      0.282596625699305,
      0.67009558107096,
      0.572130625584892,
      0.453048140336498,
      0.381444872857038,
      0.509744269903395,
      0.491299262928084,
      0.41152075550937,
      0.555309531366475,
      0.544181656779695,
      0.484009522770693,
      0.448161596685102,
      0.351380531435794,
      0.60632875067307,
      0.379267716967655,
      0.268470028813912,
      0.454275802570816,
      0.39811766492499,
      0.297125775043296,
      0.35555710274296,
      0.661836270159222,
      0.544087633755561,
      0.495742615236948,
      0.256899796374041,
      0.548298455375168,
      0.580399233472326,
      0.415899579589735,
      0.45504057929729,
      0.473532281115543,
      0.418916640610524,
      0.563562744138603,
      0.433691320388297,
      0.647857448430292,
      0.449605045209737,
      0.336204624903029,
      0.46952413976344,
      0.39505255588203,
      0.303949187649034,
      0.517750038851243,
      0.362043711831668,
      0.410019356055246,
      0.414187907543257,
      0.398939307115528,
      0.532877778702108,
      0.221429319594212,
      0.477799150249609,
      0.449788084731226,
      0.572760037231099,
      0.393143226989947,
      0.346563932472067,
      0.142541788431001,
      0.620730234764935,
      0.406146917347453,
      0.307569935272987,
      0.510398202861866,
      0.255762136872666,
      0.248624292332504,
      0.412489375741029,
      0.344670955621989,
      0.175293529765639,
      0.40130130395699,
      0.383002294945099,
      0.660540393823046,
      0.17990222084039,
      0.319966974643124,
      0.298022777358244,
      0.171710247058096,
      0.377129882116595,
      0.330421393465716,
      0.378981072601933,
      0.528502147135296,
      0.26679245793296,
      0.0784274859229223,
      0.40684647471697,
      0.184885895025313,
      0.204203744549392,
      0.21857783987144,
      0.36976508333875,
      0.400748163580132,
      0.253838129400532,
      0.341767106963044,
      0.583026544698364,
      0.304370576735231,
      0.111423326009815,
      0.349048286545021,
      0.259820847675273,
      0.228000121186528,
      0.098371275489927,
      0.147186166309921,
      0.429378445983836,
      0.410217448577178,
      0.292812299988239,
      0.51976305689788,
      0.42815407871224,
      0.257800462202342,
      0.565856398505552,
      0.374063265607204,
      0.304600796307872,
      0.290413968938115,
      0.285585997380913,
      0.616621885037608,
      0.30049281482739,
      0.258498126274916,
      0.352220335312918,
      0.160673465832804,
      0.10611686649275,
      0.372412151698329,
      0.333563234345646,
      0.464841808517788,
      0.430498939950461,
      0,
      0.404839340669856,
      0.545203555225268,
      0.415981557120119,
      0.391678341731474,
      0.218160567678928,
      0.552115580782727,
      0.319240713629593,
      0.287540399528918,
      0.14061655898667,
      0.199569333616169,
      0.157969158081349,
      0.210699363824053,
      0.160257374225223,
      0.257837449576574,
      0.204682587536163,
      0.330385981794316,
      0.144986727729861,
      0.278849060081571,
      0.28016119402466,
      0.326251667460477,
      0.27608679866035,
      0.382655808462545,
      0.497430183962813,
      0.246651862030403,
      0.427285230610544,
      0.535542450310331,
      0.436982363740193,
      0.38529520356143,
      0.614141093528758,
      0.132110068442828,
      0.112429582025145,
      0.319051327751794,
      0.548327152331195,
      0.267156877185656,
      0.278277921543766,
      0.31987320991196,
      0.171161799196569,
      0.0541915738624057,
      0.291804954198885,
      0.28206901052053,
      0.251108291504903,
      0.307886282592357,
      0.26086442636449,
      0.177095581710161,
      0.206988213583175,
      0.135160797457784,
      0.343626255123722,
      0.430651742400201,
      0.247366672879853,
      0.39913052444647,
      0.350712240199865,
      0.526808544635569,
      0.379335024180383,
      0.214943721077835,
      0.456942579631489,
      0.190708254367053,
      0.236836988527713,
      0.313355994048452,
      0.463940398475049,
      0.200518451467583,
      0.223063045738075,
      0.221376474839564,
      0.627389006540804,
      0.404512634856026,
      0.255868712474988,
      0.338490689472067,
      0.317955285557782,
      0.257313793075556,
      0.240511241262297,
      0.427734984493413,
      0.402139849344835,
      0.503605884931254,
      0.511321316904565,
      0.504171067480451,
      0.384705016862629,
      0.281041099144815,
      0.387040526559193,
      0.291964397177576,
      0.200586583557587,
      0.396767814084695,
      0.2897902610087,
      0.677991248929127,
      0.339827856848566,
      0.240221217495244,
      0.348029365187095,
      0.264319951948217,
      0.322000413193556,
      0.458750583401325,
      0.276130706794951,
      0.574807661321529,
      0.496238920972461,
      0.163498782339599,
      0.552191381309226,
      0.0364873552195194,
      0.390882461639588,
      0.327879473795657,
      0.138968568633495,
      0.0704173507611629,
      0,
      0.2170811645528,
      0.624418513993928,
      0.301820876821551,
      0.422464280563415,
      0.40100659748158,
      0.534332348451185,
      0.429468664975189,
      0.391502496703257,
      0.396737309477073,
      0.210709326244183,
      0,
      0.0409173902581042,
      0.564628710697896,
      0.387148829654104,
      0.1523070575846,
      0.286472918218313,
      0.188878466134256,
      0.221098905003229,
      0.409575587589943,
      0.21139788721175,
      0.556123968618124,
      0,
      0.375904437671398,
      0.483465381934417,
      0.253987703619216,
      0.205451926996508,
      0.034566515877586,
      0.217905172305816,
      0.290340358402541,
      0.423415095992285,
      0.377256931161625,
      0.643827435519607,
      0.411902617887231,
      0.303021668001074,
      0.373149568259999,
      0.0409652024595386,
      0.0550267246311966,
      0,
      0.474096580443386,
      0.396683874081788,
      0.408685689691707,
      0.186063083848502,
      0.481487760673245,
      0.310274556945397,
      0.381591540905406,
      0.180072903567369,
      0.398606232705498,
      0.133153067345625,
      0.531147077571216,
      0.322087098071055,
      0.618181088285005,
      0.396519048724651,
      0,
      0.495221151902207,
      0.106641712644031,
      0.188091532817058,
      0.133184615116979,
      0.181654364491231,
      0.241500608576253,
      0.47048312185102,
      0.288065276684157,
      0.562586373509145,
      0.258215011322388,
      0.393723903670449,
      0.244956558937063,
      0.527081234067002,
      0.216999624354883,
      0.139815997656132,
      0,
      0.637679664985424,
      0.217498118735121,
      0.0892095470206109,
      0.577729271260637,
      0.207641012994747,
      0.281002356362107,
      0.444595583780363,
      0.471676863983125,
      0.365785589393643,
      0.480882293660004,
      0.178823832052624,
      0.654768145520056,
      0.27255935632013,
      0.400235160597251,
      0.272309103670093,
      0.213412518748237,
      0.120992522417125,
      0.382908593834452,
      0.256800551935501,
      0.533251856881875,
      0.129744888431012,
      0.268334963888353,
      0.424847449101971,
      0.299710808717552,
      0.42698853492184,
      0.305973371942681,
      0.26143153859196,
      0.392094257631266,
      0.58199660615273,
      0.34088020188903,
      0.653576593952233,
      0.476681867848682,
      0.478142177449588,
      0.473467747453926,
      0.325594597686733,
      0.419773369778779,
      0.303159274107437,
      0.257898951259232,
      0.599353971310594,
      0.352738030407088,
      0.471229292107788,
      0.467945458856353,
      0.215269348133122,
      0.0790486565824307,
      0.266283326858732,
      0.273037364480557,
      0.253090772910261,
      0.386519722268717,
      0.601846825239518,
      0.625174946439481,
      0.421106273858968,
      0.125254228837569,
      0.372536344263443,
      0.479888096225886,
      0.235018084976046,
      0.369943443711465,
      0.411871343856685,
      0.437663063129173,
      0.353161904083301,
      0.228751619478752,
      0.507674902969489,
      0.315018017224677,
      0.207839120139985,
      0.329245169572893,
      0.43288490737274,
      0.202110607578634,
      0.278984370969741,
      0.619972863586728,
      0.606189099114908,
      0.360019385019086,
      0.241185482439538,
      0.52485671206728,
      0.42949380295147,
      0.239904852454063,
      0.266329578603899,
      0.405547088075727,
      0.264519230367223,
      0.46177085250745,
      0.622919917802095,
      0.638807885454872,
      0.412082651330683,
      0.249096634900775,
      0.441254344677006,
      0.303113934506756,
      0.197360474311247,
      0.463692963301075,
      0.266177798934202,
      0.538628641066183,
      0.287382774352383,
      0.214724110725854,
      0.375866985317382,
      0.0944888729356213,
      0.477662274059504,
      0.409982168326371,
      0.285359293967783,
      0.227947339049957,
      0.402731160249281,
      0.291400787611632,
      0.640654857934551,
      0,
      0.160408333822041,
      0.302810926952482,
      0.0587710054772038,
      0.0326024469327291,
      0.0185048183151178,
      0.240126673378685,
      0.439425579810392,
      0.566129783818515,
      0.526540827319524,
      0.466558137491382,
      0.556994176112912,
      0.203114988155003,
      0.262613681483468,
      0.34500929023046,
      0.125246934931287,
      0,
      0.11618266908215,
      0.673276990512104,
      0.310922519896758,
      0.0997776196466292,
      0.33808902110379,
      0.245763116321,
      0.2572464127075,
      0.360525671111994,
      0.265204804996821,
      0.255863314895194,
      0.139362570461034,
      0.631477477884526,
      0.519546233698191,
      0.421466517463926,
      0.255935994995042,
      0.172974775699313,
      0.313342464787605,
      0.353526014875719,
      0.217754876990333,
      0.342262940737506,
      0.611886982100711,
      0.399856028310601,
      0.218930758325845,
      0.48521473891078,
      0.0591087923383448,
      0.0689411767371059,
      0.096459774255589,
      0.150931282458547,
      0.321065709330964,
      0.39845934424376,
      0.450440230887368,
      0.558119598520018,
      0.299280440336359,
      0.372658921072831,
      0.254847955247331,
      0.235411076445028,
      0.378551997441707,
      0.186909261411299,
      0.336493628121193,
      0.550809353339287,
      0.384935989775434,
      0.234098450643235,
      0.586128897856381,
      0.240165867413096,
      0.190441615106283,
      0.16644176857626,
      0.167254735137402,
      0.186614019869982,
      0.279101809670146,
      0.357324575517011,
      0.633119157050117,
      0.152830817844287,
      0.271046089917003,
      0.234956720018358,
      0.263689950452883,
      0.236633533887199,
      0.102958827314813,
      0.0820994162655194,
      0.40624268193373,
      0.0360607159849046,
      0.0196611874585007,
      0.424356326132054,
      0.248411493413454,
      0.238457674159672,
      0.491210369655474,
      0.323330881497832,
      0.454668706718273,
      0.510030397969244,
      0.356605436200659,
      0.64695112495897,
      0.312365548809797,
      0.452363281166228,
      0.359744588369587,
      0.197506515833912,
      0.0888670911636532,
      0.354376699933259,
      0.25880739398936,
      0.487313356589092,
      0.105603205769819,
      0.302244113468059,
      0.526815197363786,
      0.252607113210058,
      0.312234397921654,
      0.421907765495843,
      0.280530094333386,
      0.342804189737529,
      0.664419398336218,
      0.241877627111001,
      0.631117579507345,
      0.426465069424553,
      0.461447534946437,
      0.482018541512766,
      0.278855156437118,
      0.39964709008539,
      0.160223169772986,
      0.247657520479239,
      0.573720748958908,
      0.24264743898985,
      0.413038283879997,
      0.514458080528655,
      0.207019757311519,
      0.163052692088445,
      0.257671023952586,
      0.288543273296574,
      0.24795859568464,
      0.386566422661232,
      0.604421606031668,
      0.574083613342908,
      0.398596493304784,
      0.294817077405317,
      0.421329713051357,
      0.469358961646061,
      0.26688989514009,
      0.334624333086146,
      0.399573843238212,
      0.350748827854251,
      0.295432593706968,
      0.355629171849096,
      0.660666843420048,
      0.342956668749659,
      0.215416860136006,
      0.34945595056442,
      0.310760720868833,
      0.190840214199683,
      0.249519350387058,
      0.521304052548196,
      0.497169662803168,
      0.343160968107901,
      0.194225256803147,
      0.494775504447924,
      0.432104663246816,
      0.288905771987141,
      0.260742710390577,
      0.458854276839835,
      0.244174431614986,
      0.432578062408411,
      0.344816742986291,
      0.625330960250346,
      0.42079469102927,
      0.234874945221984,
      0.448683662163849,
      0.245107332588402,
      0.239719256221772,
      0.525294109308139,
      0.244654617895493,
      0.29810583391995,
      0.352951893636819,
      0.180537689392891,
      0.460308738407053,
      0.0134548117626763,
      0.367252210983752,
      0.460019414362865,
      0.287106819039493,
      0.387154608421346,
      0.373113900595107,
      0.203504957371905,
      0.626338666699481,
      0.225489292575526,
      0.409733460348416,
      0.400197961717165,
      0.302343381370681,
      0.253964057947158,
      0.470095441255732,
      0.369197392434345,
      0.126260156088908,
      0.304585245941932,
      0.242228690467615,
      0.611073301739612,
      0.0376572697725832,
      0.315859949012365,
      0.283505907864246,
      0.120669455157388,
      0.227777222451844,
      0.401708518491717,
      0.388110778222607,
      0.53449887240373,
      0.276654728417313,
      0.15511952620048,
      0.380119264137556,
      0.165439535270536,
      0.173319820336358,
      0.157970410135222,
      0.336051782034971,
      0.359719243166343,
      0.134627676643554,
      0.206223860823375,
      0.612134086310434,
      0.16919108840323,
      0.121073141506283,
      0.279092571830719,
      0.154208121891356,
      0.16999210469164,
      0,
      0.097286261693766,
      0.412696765490744,
      0.456724368245411,
      0.224311417918077,
      0.462562758731915,
      0.408968437615956,
      0.211626407089223,
      0.470138741069409,
      0.312565044532865,
      0.325510818279681,
      0.278465349604579,
      0.174102527308534,
      0.681302701837322,
      0.264058642025242,
      0.188125172581596,
      0.31684149815711,
      0.119996325886034,
      0.130470070886901,
      0.315276404484126,
      0.253948553544793,
      0.234197780283364,
      0.339327126437369,
      0,
      0.449781620364213,
      0.438519355942158,
      0.450760048952217,
      0.513984575308396,
      0.225524175777466,
      0.369524903375126,
      0.19401732589994,
      0.289250674544308,
      0.0940692019952405,
      0.128752513273428,
      0.131261234505328,
      0.28204894914304,
      0.189908495188777,
      0.0558764059472411,
      0.376721353962367,
      0.161017282495362,
      0.132956589385629,
      0.230555051992299,
      0.243471708121824,
      0.481903698686,
      0.272421134020601,
      0.168720654581665,
      0.483875502631336,
      0.200688999358329,
      0.390530294478594,
      0.438479793138006,
      0.466531869194544,
      0.360701133437081,
      0.583061676759215,
      0.189890909427541,
      0.113944216894896,
      0.260259376570021,
      0.444110055119385,
      0.290060542472785,
      0.258646303964495,
      0.159168268992338,
      0.228962466106454,
      0,
      0.204914724985484,
      0.308520274357461,
      0.226010309182401,
      0.369778214517972,
      0.245120606953492,
      0.0903735441816458,
      0.449607553809875,
      0.0617725087062942,
      0.321049720962803,
      0.269098225530563,
      0.147516419190487,
      0.379201441968686,
      0.358963875224976,
      0.539330877579064,
      0.404795437258781,
      0.297527726518125,
      0.433901786956238,
      0.24183296619897,
      0.25727306136205,
      0.295668591315826,
      0.370114617412513,
      0.129170148484743,
      0.448397053191456,
      0.194318337628296,
      0.585047400475382,
      0.265858420549544,
      0.20314894954182,
      0.299420469589401,
      0.306274513043057,
      0.233429189131545,
      0.386823025373278,
      0.401867193982798,
      0.478875881289359,
      0.391044577171261,
      0.601211158177597,
      0.530812585707908,
      0.379183048884739,
      0.34562175116158,
      0.463912222698691,
      0.394463391316433,
      0.356079915947147,
      0.187449607770233,
      0.253426214763371,
      0.602780974245109,
      0.24764451867872,
      0.19716965522496,
      0.370654437023032,
      0.233378249752308,
      0.240704146264309,
      0.397750113085767,
      0.196704995117896,
      0.427520796935535,
      0.411210509314161,
      0.0654803398756215,
      0.580704308186531,
      0,
      0.307262929578589,
      0.303911209112105,
      0.132916421481866,
      0.0211138857562859,
      0,
      0.274411892831771,
      0.561967720925558,
      0.196688268183069,
      0.284082827070518,
      0.368812653316127,
      0.46195813964619,
      0.411129191591746,
      0.287016423912996,
      0.377796375676873,
      0.238419586498381,
      0.0156458048568904,
      0.0798211132897379,
      0.59317127981526,
      0.324421318269533,
      0.219082986694364,
      0.305210226259037,
      0.175261066440744,
      0.175655640238909,
      0.423595739986435,
      0.137054062768817,
      0.56140651365939,
      0.0660556650782548,
      0.366952760126711,
      0.431608233216357,
      0.198450332193629,
      0.209713723315788,
      0.0842904925967103,
      0.215537544953311,
      0.253155160480526,
      0.449079596078578,
      0.208804501903781,
      0.58565347176158,
      0.304572312604145,
      0.183741996406783,
      0.337275082145209,
      0.0247012776728699,
      0.0875889327353821,
      0,
      0.426351816408438,
      0.462557849710991,
      0.343703101091259,
      0.184136697089397,
      0.440907833059688,
      0.309516156043481,
      0.259396432146995,
      0.183136405212132,
      0.245135627099205,
      0.0534855401218576,
      0.371652869060304,
      0.347400368747834,
      0.586050561837048,
      0.279488368613358,
      0.00293216974980861,
      0.587345223102784,
      0.148914424137806,
      0.121120948031478,
      0.102833672778091,
      0.0809145238709412,
      0.244773045440631,
      0.438497720480575,
      0.26318391315272,
      0.588553205008089,
      0.205085649433602,
      0.311701940736562,
      0.368299088310186,
      0.510773385242406,
      0.244926800986014,
      0.151913882331252,
      0.113517134030384,
      0.580820510358153,
      0.165335102130479,
      0.163150525673758,
      0.481495764299395,
      0.188207792572591,
      0.32116897348994,
      0.475148500822184,
      0.42926344359112,
      0.434322773650174,
      0.474647620543176,
      0.242773116948918,
      0.618791506765495,
      0.29155949918588,
      0.39615781303263,
      0.306046933142844,
      0.212810464481625,
      0.02949647616122,
      0.449045057607246,
      0.230121157363186,
      0.555551272984581,
      0.24857773174337,
      0.137614320412128,
      0.409569444372817,
      0.296296144789979,
      0.339748194050603,
      0.428514053636573,
      0.261274113933214,
      0.185672334247816,
      0.617105358591824,
      0.308087802058348,
      0.621038323355363,
      0.466897103332851,
      0.424744039499002,
      0.413392768332693,
      0.351727251278695,
      0.372894176986214,
      0.29746692395942,
      0.156757144184196,
      0.538036102855146,
      0.300525399973701,
      0.439334438749566,
      0.429166958328892,
      0.314866827707926,
      0.00954384031682182,
      0.301999219573743,
      0.266826752659877,
      0.214326330120863,
      0.37187695886279,
      0.582177736763951,
      0.58058037598152,
      0.40515590327564,
      0.163386339124206,
      0.352931965110656,
      0.29021891128814,
      0.20147573046171,
      0.271388364771283,
      0.33230058549553,
      0.340953945311255,
      0.368253226522604,
      0.250451035237975,
      0.554630460943108,
      0.241072157752627,
      0.242172520559218,
      0.301955736333529,
      0.317664774203358,
      0.135012372065054,
      0.428567176350495,
      0.470063817697443,
      0.58157102725119,
      0.304816023266176,
      0.099522151263355,
      0.36607441118444,
      0.301671695613466,
      0.249877590744522,
      0.287824572420498,
      0.275183010106745,
      0.2180591863988,
      0.348249572817848,
      0.676001683254229,
      0.613093048953117,
      0.270954909793591,
      0.309842996448938,
      0.388090176251838,
      0.44512284383541,
      0.189409457821179,
      0.308718065825022,
      0.375165493393742,
      0.561738897220049,
      0.276350553038055,
      0.177366936238319,
      0.378169840549757,
      0.133590588070116,
      0.440807260276001,
      0.466884951895269,
      0.275042817789937,
      0.233743126089889,
      0.470090340608589,
      0.29770420656489,
      0.59362003093181,
      0,
      0.148667201724939,
      0.31146737739735,
      0.027973460960712,
      0,
      0.0246144021711183,
      0.203497205595179,
      0.4947077138317,
      0.418710828525103,
      0.415964949547246,
      0.497467583949074,
      0.463944476187963,
      0.280430880804264,
      0.188659799337683,
      0.450763606086782,
      0.134274537476406,
      0.0261726046521786,
      0.0385490320570566,
      0.603920126842472,
      0.23052267579441,
      0.122150352225997,
      0.326628738906936,
      0.285093068388733,
      0.214718521214443,
      0.331682349841179,
      0.204582045437894,
      0.251371539103947,
      0.192245463063818,
      0.580934482897278,
      0.525359281216098,
      0.400391416248469,
      0.241905704590819,
      0.206744330792568,
      0.296883573551979,
      0.340426368116416,
      0.0946108068779639,
      0.209650883404105,
      0.585665372341975,
      0.36228371937243,
      0.365614312984522,
      0.346809571382645,
      0,
      0.21002297195494,
      0.17779926035013,
      0.128405571475913,
      0.314134537241929,
      0.360034844939876,
      0.448166293760166,
      0.6009727924344,
      0.327754598215051,
      0.315560580470907,
      0.308273509201287,
      0.151278641170443,
      0.281072447483127,
      0.273927559885631,
      0.338900553543152,
      0.563073554554803,
      0.293617372549703,
      0.2370112282742,
      0.603846379527559,
      0.250260913007351,
      0.184381869995306,
      0.167787726625581,
      0.122044293672369,
      0.0933747978486123,
      0.280037302206068,
      0.26341821056226,
      0.589688690495212,
      0.159294335852349,
      0.251408125126348,
      0.326028169890409,
      0.229643973773505,
      0.221023812503463,
      0.0417012969031352,
      0.117210645919496,
      0.487886260897037,
      0.000642703586883804,
      0.0315769304155985,
      0.483335127318171,
      0.181189689283348,
      0.353769339795807,
      0.603149821577268,
      0.301590067755643,
      0.444263010927613,
      0.373782511511187,
      0.350643113860896,
      0.598531499731039,
      0.354817378757907,
      0.438994020824503,
      0.337103516111239,
      0.218679723233077,
      0.086121606737586,
      0.497388619429373,
      0.239074403716485,
      0.281788199642436,
      0.161383978272091,
      0.15724417237086,
      0.555868079834784,
      0.280913948076466,
      0.392510972598834,
      0.504332918211416,
      0.225970409297084,
      0.108190368923482,
      0.633451342859668,
      0.279780968540837,
      0.575615790910118,
      0.441979099149274,
      0.44055793841537,
      0.408975169583515,
      0.228802870237391,
      0.43829688419321,
      0.165033157042173,
      0.162904015259154,
      0.482206190621832,
      0.213792738817839,
      0.419698760966799,
      0.585356639550693,
      0.365784366123136,
      0.0857237256132458,
      0.270206469545955,
      0.311135429800842,
      0.240166662408936,
      0.491381104816052,
      0.370823508948672,
      0.561574027271204,
      0.388994390152442,
      0.2025512610695,
      0.448863884390633,
      0.366673057732743,
      0.258065246588137,
      0.306715492717052,
      0.236763476564422,
      0.363820864355179,
      0.333689499414616,
      0.333000473442022,
      0.60940006880292,
      0.417753051660075,
      0.346544594020061,
      0.385790805184545,
      0.323909367505008,
      0.230621078421041,
      0.379792731998401,
      0.259288448437909,
      0.470044904784318,
      0.288718159836444,
      0.102286942305088,
      0.381207619302419,
      0.349948128242634,
      0.192618213562385,
      0.232453916074944,
      0.352239058388011,
      0.216991677269061,
      0.344547930600667,
      0.344926298764545,
      0.586472572318617,
      0.395690773020834,
      0.315353110102417,
      0.312905557275254,
      0.326819967892979,
      0.31156910737726,
      0.352127579894162,
      0.416349408469542,
      0.27679804205264,
      0.194306995432191,
      0.0797473351671891,
      0.500097003740309,
      0.0669898723269971,
      0.349283542601584,
      0.436534397263961,
      0.310292725931709,
      0.335023447316896,
      0.374848747789018,
      0.198955391292753,
      0.598436986232501,
      0.381505973829131,
      0.454051671730301,
      0.401858530968699,
      0.308232238355795,
      0.224908563325955,
      0.562473026793043,
      0.411520650996959,
      0.165525109697864,
      0.0948619984599785,
      0.0630457979434937,
      0.599279769312947,
      0,
      0.327385845088569,
      0.273097213556197,
      0.0794870346811501,
      0.13827931541264,
      0.467399444631469,
      0.312186635473112,
      0.558019485888146,
      0.200422242752775,
      0.285891191377761,
      0.344600240864732,
      0.259031239485137,
      0.16916559795025,
      0.108372757163683,
      0.204513081878297,
      0.279950830800142,
      0.120022251044405,
      0.199816936803672,
      0.590441221798124,
      0.310851068815962,
      0.152083163272695,
      0.303735979015909,
      0.139387790034239,
      0.167122833342125,
      0,
      0,
      0.486208520797887,
      0.554216158406115,
      0.157269415806234,
      0.484430201249479,
      0.288498161159797,
      0.223555430048176,
      0.309452409202865,
      0.247601216374049,
      0.256020820574138,
      0.206478850067282,
      0.0930444167691063,
      0.605133173577303,
      0.275631725558214,
      0.161895928858515,
      0.328188550078963,
      0.173219223220268,
      0.200002254846289,
      0.473117991314057,
      0.199715858610242,
      0.215477425350248,
      0.161706312258136,
      0,
      0.585562885901343,
      0.343858306707413,
      0.441504283456722,
      0.496069841327881,
      0.340825796095713,
      0.312391152198961,
      0.304888826063509,
      0.392751819390226,
      0.236017876606748,
      0.175336821137077,
      0.0555209935647709,
      0.404507754754884,
      0.275741763820478,
      0.0780651902606903,
      0.48016985319041,
      0.103878910922021,
      0.0847225341409171,
      0.387777809028747,
      0.224433501691503,
      0.552670092250481,
      0.280464946157544,
      0.0948341557907171,
      0.622830444498699,
      0.198911589271373,
      0.370750092420955,
      0.432119462325722,
      0.365912954199519,
      0.348434027803958,
      0.555920208012432,
      0.417115421649509,
      0.380003815757589,
      0.135455943541182,
      0.262390481637078,
      0.283088568687466,
      0.1703357168638,
      0.0811570539838994,
      0.37571321707317,
      0.0667552948267092,
      0.149688430682994,
      0.318568637242799,
      0.195222502475552,
      0.406098486340495,
      0.236705865812034,
      0.031804296570801,
      0.564073707649312,
      0.122686745971391,
      0.286438832794515,
      0.361581113386816,
      0.151466421232949,
      0.263254045768316,
      0.376556970913937,
      0.598055100231688,
      0.499839680526994,
      0.351801068054134,
      0.416316083807862,
      0.380343774419179,
      0.472720892203505,
      0.554158166468622,
      0.455766556255205,
      0.400588280996948,
      0.559763961123319,
      0.266817968583692,
      0.616590622060869,
      0.42508373917728,
      0.098661368681687,
      0.316925048645937,
      0.419567157976436,
      0.578003766813242,
      0.427198192375767,
      0.336417325552737,
      0.52583004717015,
      0.424938779738625,
      0.610964255445321,
      0.496668178015011,
      0.57236109342148,
      0.344160124444427,
      0.551298108981676,
      0.425519840410131,
      0.544146683211918,
      0.506653443771568,
      0.466789337119998,
      0.661998676868612,
      0.445171402717376,
      0.430049931188484,
      0.492234082376734,
      0.301566633137298,
      0.619426047916998,
      0.415584458335474,
      0.29194124797656,
      0.30157801250385,
      0.417543051838577,
      0.425881466264371,
      0.561913161126172,
      0.0680993520994748,
      0.28089010416086,
      0.322776810957333,
      0.207577762800037,
      0.0207248708888127,
      0.265362419637114,
      0.403313700987013,
      0.624525399914469,
      0.434445209960522,
      0.620781874353275,
      0.380080775742109,
      0.53036054122121,
      0.440108619799106,
      0.355404398508018,
      0.409526565495929,
      0.34032558667534,
      0.404940671967155,
      0.192744778371788,
      0.621901296427231,
      0.287110052927694,
      0.571650816566725,
      0.274435118717913,
      0.215632728342302,
      0.178996924456431,
      0.430625928863922,
      0.100335562694755,
      0.615813949650178,
      0.308274053888469,
      0.321497432330181,
      0.538010549001159,
      0.417331605106186,
      0.315587830658234,
      0.251813398498983,
      0.259289583225508,
      0.337427890408073,
      0.576510131943225,
      0.38100799477425,
      0.610536029015409,
      0.424797974225674,
      0.170885607314405,
      0.332428054010004,
      0.0897880128229243,
      0.115228392252471,
      0.25414413299458,
      0.359784332358986,
      0.504172830284773,
      0.304261372974969,
      0.184242098133849,
      0.474468630942582,
      0.615453891250648,
      0.307642160369162,
      0.454135162665439,
      0.143527642612269,
      0.110460440752591,
      0.640767306583096,
      0.480518769865947,
      0.657707603938993,
      0.253883891885171,
      0.230561207665964,
      0.561726701606033,
      0.259423155512467,
      0.084521277875713,
      0.096450714096365,
      0.0134721216398832,
      0.266420145187679,
      0.382310346470396,
      0.353398682135723,
      0.54336245751304,
      0.42254428757061,
      0.400139966035027,
      0.496816530438908,
      0.477173594113381,
      0.125298875110557,
      0.223789787349797,
      0.315737997972522,
      0.612045431343392,
      0.188570101045022,
      0.201112223800871,
      0.394871656583914,
      0.199519807582789,
      0.394682310756251,
      0.572884364781963,
      0.575674622630117,
      0.542268995257086,
      0.488660486418426,
      0.379059065501337,
      0.596418563423935,
      0.320774710066831,
      0.535350319972464,
      0.287346697869034,
      0.291872111112759,
      0.0124493291904703,
      0.650933936273573,
      0.276059035153282,
      0.597552278406713,
      0.455050148003532,
      0.163550675758025,
      0.560781251713182,
      0.438515211511687,
      0.535761787558871,
      0.510017300210271,
      0.206678650738805,
      0.125914206805011,
      0.670492065563976,
      0.331917660503866,
      0.658403867530053,
      0.518594112515909,
      0.28356868725414,
      0.438238394786916,
      0.368208737518468,
      0.642097147666392,
      0.366457075926874,
      0.105040915664506,
      0.537146899979723,
      0.396116142195566,
      0.350709999860448,
      0.462139208031743,
      0.495614533126044,
      0.0461905227893535,
      0.219048430460444,
      0.324942469130718,
      0.226484362453473,
      0.506542575450076,
      0.427011800642125,
      0.647630715584466,
      0.582304423938717,
      0.306921070766752,
      0.31655877717554,
      0.434980333526475,
      0.183509245596627,
      0.356250319538546,
      0.366936195910017,
      0.536199413225302,
      0.489016834926399,
      0.322783156742169,
      0.574330333454447,
      0.442711532201198,
      0.473467426727632,
      0.586389006297801,
      0.449266271041626,
      0.352054593060812,
      0.543508370254026,
      0.324411330494589,
      0.652847583409741,
      0.487130054519825,
      0.105369038317613,
      0.366963652216571,
      0.533067247732476,
      0.581756487403364,
      0.42700914972665,
      0.305026280989009,
      0.343064781911649,
      0.418886104008123,
      0.573102714770848,
      0.609272962622262,
      0.48372642711241,
      0.343795319868915,
      0.475736378457306,
      0.472492473231336,
      0.529143355244644,
      0.489150642016601,
      0.553373358651952,
      0.574344101001592,
      0.33944307168789,
      0.433705717317132,
      0.444493853443077,
      0.281837489032702,
      0.621624669196618,
      0.524222659563938,
      0.231077702353362,
      0.225029214992732,
      0.471143291957328,
      0.327017897127628,
      0.601474143925571,
      0.101710162168223,
      0.242220466691875,
      0.274430216368789,
      0.109084662625184,
      0.0463961495162528,
      0.254038475838878,
      0.198829708835209,
      0.520480708748972,
      0.547170060266846,
      0.651653776803935,
      0.536436051571783,
      0.511571294367602,
      0.350015170864886,
      0.402489399883381,
      0.480634002254676,
      0.431519004591173,
      0.204834217104578,
      0.155723612207756,
      0.650338185996885,
      0.219609804481853,
      0.372930524585243,
      0.340350015586368,
      0.300530641724721,
      0.258932013310094,
      0.35095987541326,
      0.204188123001551,
      0.26609299702192,
      0.222728866158826,
      0.422191725928912,
      0.575165354134843,
      0.618365517203403,
      0.281837233620893,
      0.250562804130672,
      0.465576035921339,
      0.388662540525247,
      0.155832277865845,
      0.365436625838903,
      0.655077391410174,
      0.398730339351394,
      0.51459871144478,
      0.353427784159244,
      0.0652765243061311,
      0.356422894916988,
      0.424314101290781,
      0.158477657091761,
      0.304245145767276,
      0.295165640554025,
      0.500064375603298,
      0.627804640623385,
      0.606583936094465,
      0.432753771032376,
      0.360881655917214,
      0.109655194054747,
      0.244631003080736,
      0.632038570236532,
      0.325308135729328,
      0.615784601178752,
      0.337302068866301,
      0.5282559393388,
      0.512026172971239,
      0.36401013177643,
      0.21832521553847,
      0.14979162849848,
      0.0767562273002024,
      0.155002015638632,
      0.241317931628339,
      0.331326129822484,
      0.596006393046682,
      0.439343073228538,
      0.436813299703301,
      0.326567736213415,
      0.505633387130114,
      0.169599294998913,
      0.245843801294807,
      0.286500145495462,
      0.521342403176075,
      0.164373942310587,
      0.23785875345005,
      0.431980594822197,
      0.197206952000301,
      0.521617111484274,
      0.645603057210798,
      0.557039623569214,
      0.517254950514643,
      0.573509786497167,
      0.414513803264309,
      0.652626461374718,
      0.316043484108141,
      0.521208219797968,
      0.328033628505269,
      0.337722123128093,
      0.104746758493541,
      0.640044742336472,
      0.38862077891944,
      0.255167995278985,
      0.399441157440365,
      0.219645990816993,
      0.599641717466026,
      0.431923048284129,
      0.580078823412758,
      0.545188655373511,
      0.268232132381866,
      0.0595168747905694,
      0.666786328631633,
      0.377694601703929,
      0.613167837385795,
      0.539856758193585,
      0.239757378867197,
      0.455933418123152,
      0.230047442145545,
      0.629401625325816,
      0.299233360451736,
      0.161020488697176,
      0.288681999099839,
      0.360214938277715,
      0.419641927565745,
      0.610783542850676,
      0.451662422438092,
      0.0469904503569039,
      0.253421571879575,
      0.365175991381801,
      0.207100554983382,
      0.482950343789248,
      0.371691210090296,
      0.605556986132102,
      0.451052081716546,
      0.541220843625539,
      0.473161598721315,
      0.462892503554003,
      0.311242455972561,
      0.468065084060373,
      0.29001964715955,
      0.496665657000694,
      0.577866312773259,
      0.418699763502319,
      0.64470117477787,
      0.548300029641321,
      0.512831323385205,
      0.622348980235899,
      0.510347008435542,
      0.484379299702419,
      0.534927433484998,
      0.426933673123312,
      0.521593878575745,
      0.578654510088943,
      0.114144727425959,
      0.420785138403662,
      0.567210612070752,
      0.565583186958285,
      0.395915223358081,
      0.306589507633533,
      0.299946665024765,
      0.405111141360952,
      0.402843621488549,
      0.641255452589496,
      0.527750539899905,
      0.384763695568905,
      0.490893231266517,
      0.448068916709274,
      0.442651054372559,
      0.585944652011455,
      0.58308015986539,
      0.542726562371687,
      0.247139121231972,
      0.350492802661947,
      0.508398566655753,
      0.249526399595741,
      0.348967479878233,
      0.425911443720766,
      0.516318890517966,
      0.468717119196339,
      0.461908197447878,
      0.266540721349276,
      0.658220249849758,
      0.430064105482323,
      0.551306580836391,
      0.415260244695508,
      0.346257801561397,
      0.164045547044461,
      0.596038358591455,
      0.457390756540899,
      0.190148895261369,
      0.265813561427402,
      0.018646181459094,
      0.618351266290443,
      0.351598213058078,
      0.592954374731184,
      0.272207378310759,
      0.082480621647009,
      0.142120092472842,
      0.67782120340316,
      0.35311126653661,
      0.594199019628428,
      0.203507953279178,
      0.308688936194946,
      0.426564775689274,
      0.417235004738133,
      0.233253098436683,
      0.169068837730918,
      0.212219799655746,
      0.180669573403229,
      0.215748125184748,
      0.248252307042344,
      0.645709447100264,
      0.340458798906984,
      0.301727616542157,
      0.254249434188174,
      0.28809814108284,
      0.45742725803732,
      0.0233769410903291,
      0.0472530184009435,
      0.519254041979415,
      0.567305531674235,
      0.206896492339583,
      0.45482236140686,
      0.325992054577936,
      0.168597461464911,
      0.287915969228621,
      0.123801733666897,
      0.180981051932096,
      0.295486268881389,
      0.310464037350586,
      0.641011970220192,
      0.182780437127626,
      0.332454588795803,
      0.417550872039148,
      0.340087895805804,
      0.208979362450019,
      0.591956166737695,
      0.222312615854321,
      0.252488170471741,
      0.184413804293348,
      0,
      0.599629299342691,
      0.363436277836086,
      0.517707300753629,
      0.541501688814643,
      0.315745775200804,
      0.309671390814984,
      0.323400659588428,
      0.436758220143907,
      0.284215626118219,
      0.215528755487213,
      0.0228327756010439,
      0.416875586684698,
      0.327922107050165,
      0.0726750179923907,
      0.465901137477451,
      0.126075845517872,
      0.156767523825571,
      0.401106271338323,
      0.180523082950429,
      0.490467135031592,
      0.303134826756724,
      0.0833959218429593,
      0.604373967771136,
      0.122784337429701,
      0.38610252689312,
      0.508873697870859,
      0.241337177580305,
      0.241948049983873,
      0.535650507078677,
      0.415805775630233,
      0.373761598198929,
      0.0900869010003607,
      0.26292788423949,
      0.256355621694505,
      0.208383080589696,
      0.125938334530656,
      0.456588707266312,
      0.00316080813489701,
      0.170091767518901,
      0.377986652759217,
      0.210273201228671,
      0.399802824695692,
      0.269578088713333,
      0.0794317391038318,
      0.571689088263275,
      0.169106206094828,
      0.293117164309242,
      0.334048277498621,
      0.139837479799399,
      0.153759009788854,
      0.328468573226413,
      0.583882845044065,
      0.530311098979338,
      0.320799004906333,
      0.318808613935643,
      0.383863882002739,
      0.559928399627928,
      0.596416717999193,
      0.497424130949168,
      0.471625303066699,
      0.483142950436297,
      0.334463594844582,
      0.602400341049723,
      0.432258724723807,
      0.115932125293341,
      0.27661803174196,
      0.380750104512291,
      0.574673194425572,
      0.491130349943788,
      0.402757161996963,
      0.49691467432815,
      0.456912257200259,
      0.531633136761285,
      0.563982093417401,
      0.547211116978306,
      0.384221031560231,
      0.565351425954164,
      0.40214736569203,
      0.529377721615739,
      0.57802959466902,
      0.492648154063043,
      0.61155138756755,
      0.472832347556631,
      0.413858539175649,
      0.482454625707665,
      0.336733454269988,
      0.613311495418677,
      0.384717047989526,
      0.304607505233276,
      0.203932529999805,
      0.345261494778095,
      0.443211799524149,
      0.570183545282358,
      0.0699691911921044,
      0.284222334894344,
      0.206792077532828,
      0.168223565723265,
      0.0680895597025596,
      0.276187354341196,
      0.343902059618845,
      0.619092850325812,
      0.441165410399203,
      0.621513493432584,
      0.390457077936399,
      0.52322726642735,
      0.41785885765052,
      0.3472286213974,
      0.462180907105189,
      0.223286079120544,
      0.429715498607558,
      0.166813992067399,
      0.610979291249877,
      0.198013033502951,
      0.57783518642213,
      0.284218824933459,
      0.19966667009517,
      0.172503168260172,
      0.403954392077648,
      0.113088416086984,
      0.587095278131797,
      0.326668836287643,
      0.301648025515613,
      0.539003344371679,
      0.412209874744364,
      0.343363011878174,
      0.2463537849807,
      0.235080469781598,
      0.415137348033665,
      0.609409857485653,
      0.392095647701179,
      0.595412775820865,
      0.468085162946198,
      0.105829490978524,
      0.332486906087289,
      0.111613171677256,
      0.0646082159874171,
      0.255506708813022,
      0.418130284351036,
      0.477252219097807,
      0.203305968241094,
      0.137164306251169,
      0.485160946127581,
      0.626085754835083,
      0.480464360606469,
      0.484876524923776,
      0.105186361238296,
      0.0945519891665677,
      0.629517621953506,
      0.481607259194619,
      0.621652536080799,
      0.214796794229657,
      0.247371329088624,
      0.451276629303956,
      0.29203701795113,
      0.108626348702086,
      0.103481067733615,
      0.027296994818759,
      0.272575356096152,
      0.25487878248674,
      0.357898982484992,
      0.528608233454085,
      0.420276986108833,
      0.420824594808973,
      0.488614032696522,
      0.430628437225568,
      0.0477684906140425,
      0.223086307652886,
      0.331574160819873,
      0.612910598753742,
      0.161649783377853,
      0.188792901291613,
      0.331626299489883,
      0.203600614424942,
      0.491696341007267,
      0.647972980341818,
      0.611034163128277,
      0.552457932307936,
      0.507561837808479,
      0.365892612629387,
      0.583402677708123,
      0.384277979590159,
      0.536417635763154,
      0.30405103706421,
      0.326267963557043,
      0.00188256873491937,
      0.63650582286025,
      0.29226944134862,
      0.57412892392056,
      0.478818359285773,
      0.155036541097314,
      0.65532073706956,
      0.429832968981037,
      0.545848693678084,
      0.550122086412546,
      0.230512982761095,
      0.0710520016780858,
      0.667067515170695,
      0.424299931593102,
      0.606286693051414,
      0.508635581893909,
      0.236511601331418,
      0.320384683271067,
      0.332764384959653,
      0.62799442459793,
      0.403958746162237,
      0.131810223691402,
      0.481091189332271,
      0.38911956007656,
      0.296248550192799,
      0.481726348232025,
      0.500851549918274,
      0.0726081776175139,
      0.245851422232477,
      0.338941224367841,
      0.174696946699125,
      0.5116777944106,
      0.378376238619572,
      0.624444112446035,
      0.56413680523779,
      0.341509936526806,
      0.325541107276979,
      0.426109760944751,
      0.173661594348554,
      0.275628172684063,
      0.33359742936293,
      0.473909012809119,
      0.441363878473616,
      0.330933479502897,
      0.576286643596635,
      0.543185232227902,
      0.499175573371181,
      0.61976721399024,
      0.536682527092417,
      0.385798968192909,
      0.595713995867421,
      0.307490849803029,
      0.621472046486129,
      0.43753467324733,
      0.124991105839881,
      0.242783728296675,
      0.501368317259039,
      0.580596330223462,
      0.484601292911248,
      0.43983362137077,
      0.387597455146648,
      0.33037723726877,
      0.403222405140979,
      0.586305811890234,
      0.546171314511842,
      0.387977757500922,
      0.494322827499574,
      0.430110883195486,
      0.538337751581744,
      0.504206734870922,
      0.582565294522109,
      0.544383375238292,
      0.336139473770779,
      0.492328678953266,
      0.431071901551252,
      0.300961172108153,
      0.631433418762148,
      0.497579148141396,
      0.235746997126827,
      0.253517186026177,
      0.403323313044878,
      0.311840421698218,
      0.589978567820964,
      0.0891705258246257,
      0.23637462977207,
      0.254314461049928,
      0.0882215231040231,
      0.0996456419544683,
      0.290013625846592,
      0.201566033428768,
      0.544598867003666,
      0.548610277124905,
      0.626145731736907,
      0.517860973951496,
      0.498690629791511,
      0.344543042868185,
      0.433665785112038,
      0.405828910149446,
      0.45143366500482,
      0.198608432558536,
      0.143838494540056,
      0.617528226900256,
      0.185715363741313,
      0.371410605287639,
      0.359360176189774,
      0.260688819172777,
      0.268077791521866,
      0.317655738522786,
      0.169814538275365,
      0.27029262850016,
      0.232598892446026,
      0.431833816647036,
      0.557350039401176,
      0.62487252582441,
      0.310558765747872,
      0.230098095336151,
      0.456515415283437,
      0.399478564693649,
      0.169164783571599,
      0.35443332219129,
      0.622027896205413,
      0.379627513466371,
      0.5580944925573,
      0.350222444313011,
      0.0302192248658918,
      0.342062392794811,
      0.415002465256737,
      0.208629585783325,
      0.30259230085019,
      0.266916338141646,
      0.488895297958341,
      0.613939375244788,
      0.61975887625961,
      0.458072284136566,
      0.369765883464868,
      0.036319520019252,
      0.147860050081347,
      0.612132350788471,
      0.281100718680643,
      0.618737628291719,
      0.324362027774176,
      0.52795715063883,
      0.471451601683186,
      0.401445360696843,
      0.202920887682088,
      0.0838883543864461,
      0.0756653299963472,
      0.0891316309555991,
      0.209870246723571,
      0.366213305940572,
      0.580051263294908,
      0.435932537158416,
      0.44794183447344,
      0.390531396155129,
      0.495734227369252,
      0.112505508159254,
      0.214468098990581,
      0.293262447248801,
      0.503050467891698,
      0.163430508798275,
      0.233037402182569,
      0.425506413444038,
      0.231919385295377,
      0.501198013217805,
      0.59720440319582,
      0.561258599029449,
      0.535485693146529,
      0.601100025586723,
      0.405773755968962,
      0.63063687657219,
      0.380175546918588,
      0.53384178657692,
      0.295832547775493,
      0.291438854911793,
      0.00334854014044489,
      0.568189915665917,
      0.357532604432704,
      0.264918105062201,
      0.468707644833892,
      0.186698428017278,
      0.619954767025264,
      0.439481662671116,
      0.5838793604365,
      0.608900909472429,
      0.2855847225248,
      0.0535361133282712,
      0.666648714950273,
      0.569012656292824,
      0.61085540468503,
      0.524674518000377,
      0.248518367558949,
      0.408209855957168,
      0.225544479889164,
      0.636699364727648,
      0.425100049856711,
      0.120172681524848,
      0.255983471253478,
      0.402515175726676,
      0.413474189411819,
      0.602996645677514,
      0.449677509192874,
      0.109836123051098,
      0.223066662680436,
      0.468156311397237,
      0.251842050590313,
      0.420838422163543,
      0.398014757397857,
      0.5769453814802,
      0.549025407445073,
      0.532126376353825,
      0.391493106066901,
      0.490761832619161,
      0.326665541600416,
      0.450541320558424,
      0.293653923244176,
      0.499876320366662,
      0.535371332338688,
      0.438823223192384,
      0.604095308185793,
      0.577696900066766,
      0.521168675747589,
      0.605756722509564,
      0.522775319708511,
      0.474996899805682,
      0.589842998720697,
      0.48058567344905,
      0.536987311083718,
      0.566734462132459,
      0.129591128896076,
      0.425845029779674,
      0.535154595897778,
      0.55249879630635,
      0.434697771096495,
      0.376291113633872,
      0.347566316838464,
      0.395636532889609,
      0.360044619116043,
      0.586884595913089,
      0.550935391435487,
      0.403652456134056,
      0.498348567716508,
      0.457999053057603,
      0.494122299617717,
      0.587178294442871,
      0.598682895920066,
      0.539638427531641,
      0.254615711315849,
      0.461640586058936,
      0.528078832034379,
      0.241929199056589,
      0.362019226085056,
      0.467134780235774,
      0.509228290524582,
      0.468069426848211,
      0.44495119736513,
      0.243231121342688,
      0.62465844176879,
      0.41649450207449,
      0.529723065957756,
      0.439913917383711,
      0.38826002075868,
      0.204126515821797,
      0.51504602262699,
      0.381216590361441,
      0.185705432248051,
      0.384226973128261,
      0.0208263110979003,
      0.608639999754001,
      0.393443169786298,
      0.597787883979817,
      0.289202271562457,
      0.103266670190466,
      0.0879911624783092,
      0.652780518108405,
      0.291629814294941,
      0.564489865413903,
      0.15612035313548,
      0.338604102503787,
      0.404919085171817,
      0.497590149671687,
      0.207134910879611,
      0.263049077640991,
      0.172777620079745,
      0.158515824193549,
      0.212527475118015,
      0.269584455064329,
      0.604391221933305,
      0.340091471092125,
      0.361254103842729,
      0.194920950526471,
      0.297187602264148,
      0.492996522134974,
      0.0204972427045806,
      0.0354744199226936,
      0.494892188114663,
      0.572104695394798,
      0.215097529027621,
      0.449577370174599,
      0.348075230848842,
      0.228039875974288,
      0.234082630703085,
      0.107194217374822,
      0.174997348844015,
      0.21862501635485,
      0.328243410215177,
      0.605518669615788,
      0.197448688799405,
      0.285293518003793,
      0.395195520290043,
      0.391402915605099,
      0.16854404845931,
      0.622191963415356,
      0.245966303770011,
      0.264710136408182,
      0.197761101024894,
      0,
      0.522427029090545,
      0.320939350222498,
      0.433414458317789,
      0.467968027492929,
      0.268036021777443,
      0.348567380328791,
      0.320047349271956,
      0.356438491659327,
      0.223207092109603,
      0.24082909360944,
      0.075134706305949,
      0.330964799286281,
      0.420625842231499,
      0.0585997547942595,
      0.448979957953399,
      0.144425851806631,
      0.149318232474324,
      0.466212143198451,
      0.166879624425434,
      0.446629165450688,
      0.282273213572211,
      0.0830930251142198,
      0.543558375343705,
      0.138296474372343,
      0.379645436324354,
      0.448730329946574,
      0.262301818609791,
      0.287815341839082,
      0.416736901667158,
      0.26357729681197,
      0.131544725236725,
      0.0704636700156801,
      0.232731030281873,
      0.196297643132559,
      0.231022767743622,
      0.149145611402217,
      0.415714804346913,
      0.0167154399947947,
      0.159108969110567,
      0.364452068675499,
      0.165677250995306,
      0.284216967868825,
      0.303677854911112,
      0.0537951727176337,
      0.477583517771822,
      0.143456960429999,
      0.337309289487225,
      0.283285343921192,
      0.179004224928466,
      0.141757925858863,
      0.214801875690307,
      0.485824836257916,
      0.455917741119419,
      0.30060165928954,
      0.397502747043288,
      0.301130704330044,
      0.451329131769984,
      0.395868379280044,
      0.473917876905064,
      0.343905741894831,
      0.346547859456321,
      0.29249195316927,
      0.590274410795435,
      0.276464177174945,
      0.123954630695892,
      0.31858566986017,
      0.321422349553769,
      0.318700083681982,
      0.410924503859042,
      0.436480072525692,
      0.445218586336406,
      0.433691994652379,
      0.379370768880901,
      0.517163042154094,
      0.480053588845717,
      0.25439107994372,
      0.376567500062496,
      0.470259293068468,
      0.405898197620018,
      0.543519555067772,
      0.455470394772373,
      0.564442462417804,
      0.391866287237481,
      0.303746462266024,
      0.394861237786743,
      0.323576486458707,
      0.26687921722082,
      0.440836955687002,
      0.279539375669964,
      0.166795721569439,
      0.379812336240868,
      0.182968125401206,
      0.528239947957543,
      0,
      0.227216810554026,
      0.236102334902237,
      0.154668803460995,
      0.0236186496849256,
      0.00602076686487234,
      0.243610773704276,
      0.528986597737733,
      0.169012172466438,
      0.309331699542842,
      0.40830923421367,
      0.536925524136189,
      0.304903882526762,
      0.248382827677018,
      0.410563531556788,
      0,
      0.265112284488996,
      0.0191348327070151,
      0.580045692723731,
      0.230093402503001,
      0.299791239777785,
      0.32103778764672,
      0.126611040479209,
      0.163476821919,
      0.418299523217417,
      0.0753887498044477,
      0.483030780039159,
      0.216486898865919,
      0.18522397568779,
      0.362239055929216,
      0.127422446880116,
      0.223235488028311,
      0.1087663415922,
      0.195439050399875,
      0.436410597366768,
      0.555165079263299,
      0.291770038663586,
      0.572401837247333,
      0.364601628148618,
      0.0496947315956748,
      0.377146820933972,
      0.0872746261607847,
      0.0212136844679251,
      0,
      0.396586985307884,
      0.430121830916346,
      0.166021683753754,
      0.14100532050486,
      0.464046830905728,
      0.377239609133218,
      0.498982439898872,
      0.456399964716847,
      0.134180385208123,
      0.0494237097685677,
      0.36349476103915,
      0.331529762950679,
      0.571553357122907,
      0.0770212181460719,
      0.0673935016986345,
      0.401711185899853,
      0.226917577932812,
      0.1305226999549,
      0.00224182349131258,
      0.0174292727790283,
      0.277029830644843,
      0.275383172393768,
      0.152773624554079,
      0.517338085903609,
      0.157758878402802,
      0.275236042749886,
      0.311025369268957,
      0.295444843479083,
      0,
      0.0698417577697144,
      0.145118724151413,
      0.557227722389053,
      0.10146480563937,
      0.120181473712203,
      0.388239771191549,
      0.321676337299238,
      0.428148556895575,
      0.659862223586463,
      0.46783293213076,
      0.438713381232345,
      0.384510991395488,
      0.300526515953635,
      0.555377966992382,
      0.329665843109582,
      0.218848126936954,
      0.259097655773451,
      0.261534451745567,
      0.0434311003579482,
      0.436637923455425,
      0.421098833029647,
      0.494577419149863,
      0.428857093674017,
      0.0835612366940065,
      0.580731678140959,
      0.387347256239054,
      0.264457473421543,
      0.524186118837767,
      0.254703411380469,
      0.109340339090647,
      0.49492725399876,
      0.510593742993469,
      0.559686760445893,
      0.453678161134001,
      0.215159524958932,
      0.441749727318027,
      0.281493865871798,
      0.351436977853806,
      0.241377237947931,
      0.107602534696204,
      0.428335216358711,
      0.244561752288,
      0.28223744627662,
      0.453142570166866,
      0.468155986173667,
      0.137953437539323,
      0.250430963517651,
      0.600775639644963,
      0.292945720323964,
      0.383517501365964,
      0.305077215704924,
      0.562542443672577,
      0.484284518720376,
      0.331453714950087,
      0.389412695778271,
      0.35613728257537,
      0.163386447459814,
      0.114922805873985,
      0.276000246337593,
      0.315700377263817,
      0.41269542898491,
      0.33017502463186,
      0.517658249272632,
      0.447737855290893,
      0.410031453087701,
      0.400224489822575,
      0.485840001458396,
      0.282584418484669,
      0.442678711348492,
      0.287056734013775,
      0.516498895774447,
      0.299462966032225,
      0.134409343409037,
      0.305239315730239,
      0.255641394602943,
      0.356951353831064,
      0.329837403689493,
      0.457628733561987,
      0.314058951456454,
      0.233028813841648,
      0.436402525108112,
      0.544979899306108,
      0.57007358027837,
      0.305018954171218,
      0.413202849781545,
      0.459526659312422,
      0.423249820176199,
      0.441145597496217,
      0.517992426443687,
      0.510897318398712,
      0.325729461343128,
      0.354935063763243,
      0.391645331641235,
      0.285804611660427,
      0.387866874545707,
      0.405728261846716,
      0.212548157076565,
      0.292408634291989,
      0.294970700935327,
      0.218926493912319,
      0.579201684145576,
      0,
      0.121931837644211,
      0.287848152905872,
      0.0506319049312807,
      0.108695149038434,
      0.0950248485034143,
      0.129648297610987,
      0.454640528843587,
      0.493371217153191,
      0.30285307320596,
      0.441974363792655,
      0.4644028618375,
      0.367766900093585,
      0.312038603143707,
      0.306025485196202,
      0.244960615819003,
      0.0572574018389345,
      0.0571304058164305,
      0.53745674111703,
      0.198683348438607,
      0.0830776320884772,
      0.395419364201573,
      0.205612930373574,
      0.269024178614276,
      0.281707133281641,
      0.112837444488648,
      0.276309502347342,
      0.151004823811316,
      0.357766995830869,
      0.519129913784049,
      0.486468190842061,
      0.26227741559307,
      0.216407269931206,
      0.362115821120646,
      0.372874422812019,
      0.217444193152072,
      0.23954564763937,
      0.528216919325633,
      0.307711940608543,
      0.523830012216359,
      0.384872567239469,
      0.0692969220969028,
      0.198767713316568,
      0.173405314527256,
      0.167057737883805,
      0.340984048564617,
      0.328254762014597,
      0.412364700841568,
      0.5792820096248,
      0.405339388065531,
      0.312639374407631,
      0.399033384044839,
      0.0332180525969564,
      0.163969308498239,
      0.296327842551437,
      0.269676118669416,
      0.481986118186605,
      0.269983701331733,
      0.221926129395383,
      0.344474009912192,
      0.326676505821334,
      0.123160365905863,
      0.15576928866053,
      0.0383199701368025,
      0.0817876666085831,
      0.178936667334804,
      0.206565035386317,
      0.565835885181059,
      0.139073864689121,
      0.181675047561346,
      0.328943436751011,
      0.185949122955942,
      0,
      0.0703505622052587,
      0.186648154051472,
      0.451395787484242,
      0,
      0.0657165148274621,
      0.461129185702573,
      0.423841486278643,
      0.426038397044976,
      0.56338494940703,
      0.438441377482845,
      0.483622679218164,
      0.46705140416133,
      0.343477526168579,
      0.579847193453463,
      0.328092437392801,
      0.273002103959017,
      0.341444484822412,
      0.273810085613906,
      0.0442007817754485,
      0.43689960247574,
      0.557818479694223,
      0.270885403291405,
      0.416980536413493,
      0.179821870767062,
      0.516460434897758,
      0.44898709521042,
      0.300100343207233,
      0.547901051131151,
      0.35998849345737,
      0.0579903665498088,
      0.365137288868623,
      0.618345263864201,
      0.554040504147858,
      0.439147717503714,
      0.221645176564219,
      0.44874637245034,
      0.204074607030796,
      0.315250260240527,
      0.358766758543777,
      0.070278476784213,
      0.190689332492904,
      0.393367193917395,
      0.395855860863663,
      0.565864977672341,
      0.411170718613668,
      0.136268938553214,
      0.237205547703469,
      0.535305513772257,
      0.32132648728267,
      0.356150202206465,
      0.382627450289092,
      0.479901626682434,
      0.490217006852904,
      0.338556845391758,
      0.342995190204895,
      0.374473878355681,
      0.198940548172596,
      0.250953003510516,
      0.264975611021848,
      0.317698640951866,
      0.380932076090046,
      0.300805364865111,
      0.566626737185111,
      0.433862357000408,
      0.44216943297591,
      0.428817240162655,
      0.501377565714838,
      0.342630209775049,
      0.473276966775808,
      0.384164245278022,
      0.448194971845009,
      0.332107568862286,
      0.0883658259117635,
      0.410807392934747,
      0.257738484044026,
      0.233770944765101,
      0.274988133154616,
      0.421044048966489,
      0.262714204876047,
      0.308076446400742,
      0.398649286456691,
      0.561926539394804,
      0.493415989733593,
      0.291991436977811,
      0.442588264466297,
      0.376786854506787,
      0.401839678645611,
      0.449384449586694,
      0.546903408101473,
      0.329143670804726,
      0.0872080555930702,
      0.381572599718162,
      0.489213507895873,
      0.113375032626097,
      0.321317797450828,
      0.453737866158482,
      0.267758764655328,
      0.440380949608093,
      0.353650831797327,
      0.288087700962957,
      0.531012517575078,
      0.361606772640892,
      0.298772110070266,
      0.392387892316556,
      0.408105751927976,
      0.14093690321663,
      0.526998521352871,
      0.6061905898132,
      0.233830205078343,
      0.330551175403665,
      0.0000349384732771359,
      0.50661216577142,
      0.412699711887185,
      0.281451190600582,
      0.270441180264614,
      0.116118678749049,
      0.039737400881159,
      0.29844464168235,
      0.131273489720214,
      0.516258301899633,
      0.200735181473137,
      0.273809750827489,
      0.360662280763995,
      0.484973698076238,
      0.182649386150504,
      0.241719089429185,
      0.153011853754327,
      0.182845384375779,
      0.10718653070915,
      0.350946273615159,
      0.563347852253271,
      0.261833541099493,
      0.40081400747718,
      0.235020286295493,
      0.307402455513122,
      0.391905601943571,
      0,
      0.115365124569451,
      0.444106533382241,
      0.435730458276062,
      0.118678962577846,
      0.43707846849035,
      0.309167480574448,
      0.221764760775912,
      0.256929071322328,
      0.0936468951773657,
      0.114778466262073,
      0.167329670274941,
      0.227757834897674,
      0.536974801179827,
      0.25824886643652,
      0.0851009144855249,
      0.371190901014046,
      0.408728579086768,
      0.176098990758488,
      0.47204176579985,
      0.160397789622669,
      0.222054140288333,
      0.126296188310359,
      0,
      0.420909506881205,
      0.366420091942572,
      0.211833617255807,
      0.190203428280546,
      0.227528606974187,
      0.301170781228875,
      0.205360657068069,
      0.293081683364608,
      0.0624903773363926,
      0.219188680393161,
      0.0958341489692297,
      0.15890633299452,
      0.513216698549011,
      0.0479901987548047,
      0.280078721751079,
      0.166125148815982,
      0.0443055605928852,
      0.463127886546275,
      0.134880686122297,
      0.286862643545096,
      0.283442517832386,
      0.0945010553766144,
      0.244473793681865,
      0.181857924785572,
      0.266267763425483,
      0.269413264445779,
      0.259505657655134,
      0.452782144241925,
      0.378325025805784,
      0.199516589034916,
      0.0933281270817842,
      0.0976099909431522,
      0.234731831282049,
      0.0318432524182647,
      0.361343990633043,
      0.209647961807535,
      0.251644944565008,
      0.063798091933805,
      0.0878253989745953,
      0.581450481900499,
      0.226456459815531,
      0.135501916355649,
      0.325818760441157,
      0.10289405199641,
      0.21788846303839,
      0.1080613785586,
      0.330446640587536,
      0.258807170713236,
      0.0677572429380655,
      0.115403766784782,
      0.209892175944334,
      0.563374081967585,
      0.215195570611779,
      0.195562066603077,
      0.370865490852268,
      0.237084784501944,
      0.207913679810929,
      0.238185215129257,
      0.397735358769903,
      0.176164825949226,
      0.169915374355485,
      0.196263460690191,
      0.583944001521594,
      0.197186885315403,
      0.157532351839591,
      0.276464860077471,
      0.323719895490437,
      0.303256733068816,
      0.33350995417581,
      0.352385144029387,
      0.497423547942499,
      0.337036081380745,
      0.453144033234059,
      0.531188737996908,
      0.29810609432024,
      0.25374629628286,
      0.373427576907346,
      0.539606949187739,
      0.393648437590704,
      0.522784287193752,
      0.343479954356737,
      0.616126802610923,
      0.458085546126982,
      0.304934382928851,
      0.415390717730388,
      0.401392384290477,
      0.136461222653707,
      0.407525024820831,
      0.230948221391768,
      0.188193791869462,
      0.337015998759847,
      0,
      0.556458606219632,
      0,
      0.274592079458619,
      0.289441612784613,
      0.172482677414744,
      0.0139551335050168,
      0,
      0.252229474041588,
      0.533759286487928,
      0.0877189136978907,
      0.222782813592906,
      0.449580184696516,
      0.6150765902105,
      0.371731631209742,
      0.243193866505806,
      0.420336713242846,
      0.0945393035281751,
      0.105811734327273,
      0,
      0.57082382211641,
      0.244154807828382,
      0.239935576497456,
      0.328471731641064,
      0.196792243204081,
      0.190428507252137,
      0.440831964354609,
      0.0900516480244307,
      0.577946861279072,
      0.0545981374568592,
      0.198627837007323,
      0.351470235413504,
      0.118635520583045,
      0.16770940950121,
      0.0377092072560369,
      0.17128058691794,
      0.456062388246013,
      0.494317805836694,
      0.225392399210297,
      0.596632930796399,
      0.391636787025232,
      0.153678349796352,
      0.361377093804753,
      0.0938851653378473,
      0,
      0,
      0.442894459575177,
      0.491513728492766,
      0.265287702607668,
      0.0818197497379594,
      0.401869440781102,
      0.278043293570372,
      0.296548828079899,
      0.226972755312355,
      0.122377863969295,
      0.109965269423581,
      0.397734697232166,
      0.42897829433571,
      0.594466556912354,
      0.0920538110634919,
      0.0710118082815388,
      0.431277925990263,
      0.0965824473534757,
      0.195220732282278,
      0.0585203169963599,
      0.0509628436526678,
      0.275788984478436,
      0.233137059990681,
      0.224866090651412,
      0.56002673520905,
      0.116137748878126,
      0.187679804801191,
      0.197677409559791,
      0.177982211440286,
      0,
      0.113356691037097,
      0,
      0.579542250849058,
      0.148053790315304,
      0.15591171717991,
      0.458342492519029,
      0.370127672988685,
      0.317836107878793,
      0.564898871444134,
      0.362959374328742,
      0.375364347770939,
      0.258052653708895,
      0.183215726354064,
      0.598922032408052,
      0.204794019422919,
      0.219790538235964,
      0.270451268465483,
      0.207507826204438,
      0.104271561816912,
      0.160614023436227,
      0.596728707297291,
      0.558706516711557,
      0.185734407358238,
      0.242199414203821,
      0.494103643911738,
      0.373546193046242,
      0.240705463853022,
      0.29722413052072,
      0.283650526357062,
      0.149221048244977,
      0.30306604869099,
      0.58775971988318,
      0.591127274893649,
      0.281785213892627,
      0.168603013601332,
      0.479995857867778,
      0.30861051371748,
      0.332509783669297,
      0.226480858966417,
      0.087790902428478,
      0.495586656041855,
      0.0997761226437605,
      0.35744119621083,
      0.351607512355577,
      0.260508150941368,
      0.127490698527164,
      0.340719547868305,
      0.645254764652898,
      0.450713480761193,
      0.344201942040643,
      0.372197500534759,
      0.599419613872274,
      0.391559045777328,
      0.417288042200463,
      0.411501786585007,
      0.207326065637977,
      0.130352329349267,
      0.138636754903016,
      0.210131134631801,
      0.287656812379758,
      0.228163838552483,
      0.170980446583689,
      0.494662289119614,
      0.277308927016629,
      0.381100251313761,
      0.323818864404413,
      0.366372149228329,
      0.113907356258389,
      0.311155229465133,
      0.18353875101538,
      0.606787076600182,
      0.253784321651239,
      0.100272269585308,
      0.385488457690982,
      0.217472716582205,
      0.380273687315035,
      0.196016493793256,
      0.362125851037142,
      0.261900345942525,
      0.268554735729498,
      0.43038042116989,
      0.596208893203512,
      0.412946062822897,
      0.260396049960865,
      0.502948444387112,
      0.462239576755151,
      0.478990408672111,
      0.312900399908149,
      0.30943790993856,
      0.555275998662782,
      0.436817657355586,
      0.251497249074856,
      0.492738138090306,
      0.422900441987524,
      0.25974067956868,
      0.552871997881926,
      0.219524205970916,
      0.398120214399882,
      0.218105146256409,
      0.125711823983041,
      0.582220996538018,
      0,
      0.146187824507259,
      0.268505964278111,
      0.0771852905131917,
      0.151595806646962,
      0.0484105472826157,
      0.157281102747241,
      0.495942767283641,
      0.44807688593968,
      0.220123972301875,
      0.531989244288644,
      0.41589520398668,
      0.286423066578493,
      0.3076294080297,
      0.357485148066812,
      0.235620095465712,
      0,
      0,
      0.602738482434306,
      0.35112318312171,
      0.0770222907986348,
      0.407451493569809,
      0.271168447538134,
      0.232577802649741,
      0.268955406123505,
      0.102595479253703,
      0.276229240011231,
      0.169556476303546,
      0.383090490962192,
      0.507926924835341,
      0.423810595778942,
      0.253446915722445,
      0.253951058174425,
      0.337638094816045,
      0.355581703766832,
      0.218873129454465,
      0.236110445082756,
      0.612603491636366,
      0.379693262058571,
      0.527949582018366,
      0.442932268503064,
      0.0510836758511879,
      0.0114814292440242,
      0.141372806237255,
      0.110412422152211,
      0.463945997135149,
      0.270109570075192,
      0.313857123275767,
      0.569715178642165,
      0.319323672854297,
      0.316558522159207,
      0.402971817964038,
      0.179517764659388,
      0.401397239161901,
      0.226850778453878,
      0.374970228310982,
      0.576593856969712,
      0.298344670948314,
      0.152254496775042,
      0.376347563162726,
      0.215682564414133,
      0.205796865853847,
      0.121695904684802,
      0.0893291714463543,
      0.157131223890754,
      0.119203135832339,
      0.225756622407008,
      0.578872966529909,
      0.104329790867286,
      0.181132470367259,
      0.34761733948276,
      0.0721578102605971,
      0,
      0.0784240681686889,
      0.114121378396484,
      0.499993905230512,
      0.0200327408375612,
      0.078368664520251,
      0.505484988836529,
      0.44330425034091,
      0.27487435265662,
      0.528194718028594,
      0.351528998652999,
      0.417182383185058,
      0.329393427164539,
      0.144812964570052,
      0.589654400428005,
      0.135654268515728,
      0.204403108971352,
      0.337032821556918,
      0.284469601869498,
      0.0540294941839628,
      0.204995909940779,
      0.641671913238189,
      0.339971326988304,
      0.2206902531011,
      0.213792092814157,
      0.539141547951106,
      0.353899103528045,
      0.248184166570915,
      0.277259293697645,
      0.438948675283109,
      0.134786668166015,
      0.278125486068044,
      0.623041552013011,
      0.574494259336548,
      0.301567651543249,
      0.297991747863749,
      0.516111575109249,
      0.222311373558876,
      0.250624868439941,
      0.0864585413782435,
      0.0779051432067802,
      0.215639488581351,
      0.204897562551904,
      0.425485349778989,
      0.559011271261961,
      0.280624435974568,
      0.138730361704955,
      0.417240269837141,
      0.550946263847662,
      0.474058465534884,
      0.319332725264802,
      0.392307686031695,
      0.582622292206751,
      0.356974720563867,
      0.462169554056748,
      0.483657719003048,
      0.289980734930998,
      0.234237984413285,
      0.200663973769113,
      0.222175848037716,
      0.308539946427762,
      0.192580054010451,
      0.287888983238024,
      0.595518745769979,
      0.29194749667152,
      0.365748516554507,
      0.365829654364337,
      0.309582972721975,
      0.20607493216133,
      0.331528054692091,
      0.277282439534214,
      0.501907469867874,
      0.308579698711574,
      0.0432568636822089,
      0.331214292461141,
      0.21609569695682,
      0.290469997326812,
      0.252374837704418,
      0.366933156383965,
      0.170527505145917,
      0.255646403760564,
      0.425951369549856,
      0.60027927328523,
      0.334189607798829,
      0.239873864359417,
      0.472127267781118,
      0.288219830057667,
      0.2272278646408,
      0.29453978659459,
      0.366982667104385,
      0.288226241360469,
      0.106891284093214,
      0.138344739165475,
      0.534067644977759,
      0.148696971162452,
      0.321358143851194,
      0.463529468539767,
      0.237644015502942,
      0.35698665703834,
      0.310596296613131,
      0.28994399703821,
      0.596107247360554,
      0.151483843917482,
      0.22827470617923,
      0.359637422129034,
      0.436964207049131,
      0.196655735505244,
      0.560772008990222,
      0.676871216166754,
      0.385242788002829,
      0.227646400456564,
      0.0248233947944906,
      0.583145485723436,
      0.3365962633176,
      0.118474006644235,
      0.313919612237958,
      0.122118777769143,
      0,
      0.15506788189728,
      0.159564851236158,
      0.565504682761402,
      0.208419542598086,
      0.251813799773962,
      0.467601114594874,
      0.448178552453313,
      0.195080935111604,
      0.105930020226431,
      0.140873187833798,
      0.245403701759656,
      0.15568738909461,
      0.375099199628739,
      0.588162040410527,
      0.434326987408472,
      0.249154025809043,
      0.239866397299839,
      0.377980303955769,
      0.0727882123519201,
      0.00836953019312061,
      0.129493572772789,
      0.499566203817046,
      0.391821398769946,
      0.113594090794165,
      0.481857192405257,
      0.20960265610989,
      0.152391540506603,
      0.267367205333991,
      0.198205443355679,
      0.0963018198059978,
      0.260951687798904,
      0.216458788857324,
      0.584232017269459,
      0.267523892979738,
      0.174879950343001,
      0.389908024485286,
      0.306759952362584,
      0.110818112469506,
      0.238679968693467,
      0.125912603607306,
      0.236101956116797,
      0.0959691448727651,
      0,
      0.552013372221996,
      0.366704620652097,
      0.261842046590842,
      0.274433899245103,
      0.14076301074371,
      0.334517445661201,
      0.261257466133253,
      0.160100531863201,
      0.0918394211958474,
      0.194202984052086,
      0.0583819324588225,
      0.13453055699848,
      0.574086535120249,
      0.095138118620917,
      0.103147059704922,
      0.171464255175249,
      0.155631355592078,
      0.455498646371161,
      0.322391151487013,
      0.279147778443042,
      0.432667215362015,
      0.0873517701107569,
      0.29122234984497,
      0.15343442292394,
      0.277492516950595,
      0.365635663764862,
      0.47282919253805,
      0.541764904015936,
      0.376979732308761,
      0.234297413558024,
      0.189560512515317,
      0.137808168158398,
      0.238905426105811,
      0.0443851412145061,
      0.315011980876958,
      0.212137198648285,
      0.0941390577568682,
      0.0896104029466264,
      0.156239286282118,
      0.654139231788312,
      0.262848036378748,
      0.100744135598682,
      0.303205766987847,
      0.170511717376904,
      0.205558046927018,
      0.154121633133555,
      0.335362006876157,
      0.197112946704932,
      0.0820365550527259,
      0.276601895109963,
      0.343740422223441,
      0.632364849492561,
      0.357174300643301,
      0.318357733379621,
      0.431741343776339,
      0.323058488410409,
      0.221180811462186,
      0.287178845574519,
      0.208082198094372,
      0.178367452459684,
      0.165951630584959,
      0.297654924472214,
      0.623882517219902,
      0.166348847561965,
      0.159457140855149,
      0.354195474003287,
      0.298663079995377,
      0.612105290597873,
      0.568765641877196,
      0.4441455213114,
      0.542119369142518,
      0.295500857980996,
      0.541688702300839,
      0.530796566531057,
      0.407577721183602,
      0.518207394998523,
      0.42921952251493,
      0.431620048124396,
      0.392762745719996,
      0.498489044458474,
      0.465950133795577,
      0.699615519710255,
      0.437476465928811,
      0.235873274169637,
      0.40211147983865,
      0.614494208447063,
      0.228272661447115,
      0.477769419897333,
      0.32264139358935,
      0.208439771541361,
      0.280446517560106,
      0.0011766401634055,
      0.550460254314995,
      0.0895109556606229,
      0.315717162797563,
      0.304757431093636,
      0.135967469640698,
      0,
      0.0705682844418951,
      0.209642102799449,
      0.650037416683884,
      0.364772333368223,
      0.382006643825911,
      0.416056629860881,
      0.652221470171906,
      0.52057136480368,
      0.297346572157265,
      0.3454029820857,
      0.141066266348678,
      0,
      0.292944285543745,
      0.529706387178973,
      0.44799028578032,
      0.19952621633894,
      0.34862178099339,
      0.203913378272793,
      0.185832357804142,
      0.406549029749495,
      0.13841867584127,
      0.604271495484257,
      0.0993234051722974,
      0.331739388005702,
      0.455055865387032,
      0.108059498327672,
      0.185478785086444,
      0.0711102629729822,
      0.109704763915706,
      0.492151010427464,
      0.476075631641587,
      0.313725692503138,
      0.636222990021134,
      0.389344258339953,
      0.373362630270146,
      0.379348927009066,
      0.112810801294998,
      0.070880102303728,
      0.214448238843026,
      0.506996883768157,
      0.511871001767799,
      0.27706214636155,
      0.0996839842380685,
      0.466247839183632,
      0.38722780293036,
      0.564327058067894,
      0.189334280013777,
      0.184071300464644,
      0.315672035341852,
      0.373625429763742,
      0.420424469930728,
      0.608056209719727,
      0.390244263614549,
      0.134903595136097,
      0.402953644135358,
      0.157137498692215,
      0.305102374337146,
      0.216424054615989,
      0.19787505375399,
      0.269316899801097,
      0.257438240645187,
      0.247959269751297,
      0.557366781060441,
      0.173351404816504,
      0.238889184889094,
      0.259973733439378,
      0.190085207341895,
      0,
      0.0633172980947433,
      0,
      0.686825719444329,
      0.24944932201291,
      0.22913320087159,
      0.475867427720452,
      0.427894410619837,
      0.349840088357015,
      0.598129168059009,
      0.365913938758099,
      0.606503466688289,
      0.325282699311724,
      0.118722139818221,
      0.588864903880163,
      0.262209520119028,
      0.208891524111322,
      0.353150650629604,
      0.266929247836631,
      0.0426629460321757,
      0.183958114232286,
      0.710111378329441,
      0.618007602912861,
      0.0506990456360006,
      0.260165351834068,
      0.454848912737623,
      0.559491685444326,
      0.305598626930906,
      0.25626671725106,
      0.416758953112775,
      0.0975418660102938,
      0.223432187656492,
      0.591587985381072,
      0.641844399287116,
      0.456713961220533,
      0.436224333889973,
      0.423006338541652,
      0.28971743924325,
      0.299267718094144,
      0.269918628399159,
      0.194863147948547,
      0.52551916843178,
      0.121384225883228,
      0.398351640460387,
      0.446266104760324,
      0.182352686280966,
      0.133373549243212,
      0.326110783603203,
      0.594201365092182,
      0.406590176011432,
      0.301994870223816,
      0.560559416215306,
      0.615909415025655,
      0.580592762485103,
      0.607974393665466,
      0.410680534512277,
      0.186560340345468,
      0.109927821859834,
      0.261198762521121,
      0.201193089721816,
      0.490491180959165,
      0.25923153607821,
      0.270760939109912,
      0.446432678890003,
      0.393476955876205,
      0.331583199638337,
      0.334153391130325,
      0.268871575603831,
      0.0534244957736842,
      0.383133739890716,
      0.330817893234972,
      0.620305158886813,
      0.170831052658511,
      0.129846171973246,
      0.381993939952518,
      0.206549550053996,
      0.597720817773063,
      0.56914497100967,
      0.434535007338553,
      0.32566444234096,
      0.448555391896853,
      0.593528199676978,
      0.609671158005519,
      0.386353989362147,
      0.530076539430313,
      0.48018709307951,
      0.493419833344128,
      0.461003638209315,
      0.253928677901305,
      0.50129192234535,
      0.636752297081359,
      0.360835369625978,
      0.301484011362802,
      0.452294813197624,
      0.604538018548095,
      0.241088000135078,
      0.665875361401589,
      0.256964820981394,
      0.461102101803458,
      0.180809710864919,
      0.101717428863541,
      0.610349705956329,
      0.181093917291897,
      0.179961186041067,
      0.341468747667516,
      0.117373642115233,
      0.332457606211744,
      0.160597743098828,
      0.144971408665128,
      0.582845788385382,
      0.388540511564134,
      0.345852515190894,
      0.517627358624979,
      0.340108732205956,
      0.436922342707432,
      0.299470679969654,
      0.298676789020006,
      0.243485146315343,
      0,
      0.316606775880233,
      0.687106344860258,
      0.471398952987614,
      0.127361745165858,
      0.400186122506015,
      0.27690422383301,
      0.205626215582168,
      0.262978340225963,
      0.125857935343422,
      0.312295953518124,
      0.193528571627444,
      0.386926180608045,
      0.521730957117483,
      0.488155299388667,
      0.242430120139683,
      0.231060453938776,
      0.546271985936151,
      0.44506533198092,
      0.268365380841619,
      0.27652402549252,
      0.613528862613571,
      0.416486066815686,
      0.452252270825092,
      0.409359563330369,
      0.0964466423451912,
      0.0628744890438827,
      0.270042857119688,
      0.219219191043159,
      0.546477316830812,
      0.338258499572627,
      0.275773273128917,
      0.504274401209297,
      0.342276238991579,
      0.538050908871769,
      0.37656921812948,
      0.187437139624585,
      0.483380791130924,
      0.260530315279097,
      0.390751192116821,
      0.607645046814723,
      0.426424675531329,
      0.139335475621409,
      0.404591546342188,
      0.241574332428025,
      0.30570183464297,
      0.247797885378009,
      0.292351167894553,
      0.13359158017837,
      0.227606634317292,
      0.265566478887114,
      0.608487719445943,
      0.165963357365112,
      0.168291346484589,
      0.36961185413717,
      0.144101542324727,
      0,
      0.0456185080851746,
      0.221024864154283,
      0.523304079612518,
      0.254165365516098,
      0.286694051002854,
      0.502973102391003,
      0.488555286179255,
      0.225086067332425,
      0.508395707027113,
      0.35011558979755,
      0.615998343707379,
      0.359007301531818,
      0.179565682369235,
      0.592146021917418,
      0.19767240537065,
      0.193284262461529,
      0.350713992563796,
      0.21598534947721,
      0.00534464500735232,
      0.198329903445077,
      0.630205893282734,
      0.30705826366259,
      0.0888422592437887,
      0.288295889973403,
      0.531094940104317,
      0.550718556606188,
      0.261046230026408,
      0.286340011399288,
      0.456562821187913,
      0.162276375660116,
      0.304304541734276,
      0.47928595084785,
      0.681465539703525,
      0.35180496716093,
      0.465247811584023,
      0.45205122231816,
      0.211887044994089,
      0.207769413436178,
      0.19605999160662,
      0.188566125667596,
      0.26466414715681,
      0.104511877507761,
      0.362659634440061,
      0.555269958944293,
      0.223460122526646,
      0.125366837827851,
      0.5330068736955,
      0.534335112721259,
      0.413996986298222,
      0.311356210261386,
      0.601933932273854,
      0.614801045803414,
      0.578447107859316,
      0.628201310451972,
      0.486257315021624,
      0.490542267903837,
      0.358505203212842,
      0.486090953493821,
      0.194104170054611,
      0.55568022322138,
      0.275783348813354,
      0.298695121810157,
      0.624965585159627,
      0.527606950283211,
      0.279510491226198,
      0.358088981515004,
      0.483099142312768,
      0.314893308069089,
      0.406039506653727,
      0.367653875602384,
      0.519215801832175,
      0.286127929604686,
      0.175757445026754,
      0.37218182597248,
      0.243832417547325,
      0.300283916477765,
      0.537569687466436,
      0.46049820633191,
      0.337856735718604,
      0.478480827334771,
      0.583011042398667,
      0.614845220172547,
      0.342095101311996,
      0.517249265578634,
      0.41733579113053,
      0.555352384594014,
      0.246431257768901,
      0.229698240202339,
      0.484375989403098,
      0.322042999601428,
      0.229976922922161,
      0.220459338104372,
      0.546905128850125,
      0.133000694632274,
      0.338558379731231,
      0.46709981213449,
      0.25895916147809,
      0.613338802830657,
      0.29321013151994,
      0.386390184349889,
      0.621166478655341,
      0.150395202467704,
      0.217929826318422,
      0.388280798574022,
      0.482539782032305,
      0.324286836818844,
      0.643496811966797,
      0.525091931324531,
      0.320930455015192,
      0.313159637694393,
      0.00498173934635967,
      0.578450078596274,
      0.54003858051815,
      0.145251442496996,
      0.318320950566938,
      0.131168385631742,
      0.156442220377622,
      0.200327810677865,
      0.373485820357647,
      0.633464329924015,
      0.137430310022422,
      0.230729988442495,
      0.460384594642435,
      0.231175097093344,
      0.153832848836576,
      0.119456872805578,
      0.212916993510996,
      0.236263950701454,
      0.285038874696677,
      0.436935488674828,
      0.636624037907206,
      0.492495045978808,
      0.148809602038418,
      0.314561375273893,
      0.398797727531275,
      0.0915280552369186,
      0,
      0.143116723226733,
      0.527989225349506,
      0.377507722852014,
      0.3223091126256,
      0.46151515804302,
      0.338945855556371,
      0.130565640168389,
      0.382586098654698,
      0.298081531046991,
      0.419351017669691,
      0.498184123158335,
      0.356397541910041,
      0.660462875443429,
      0.391215228217804,
      0.301037048567106,
      0.400136752098611,
      0.154354438344035,
      0.128419633832582,
      0.282787315250451,
      0.13170667318102,
      0.21943283739238,
      0.109499225616309,
      0,
      0.505862855320892,
      0.409740185420413,
      0.425740813033109,
      0.401763014298173,
      0.158496379793233,
      0.373936235815858,
      0.318424893397098,
      0.177692489400187,
      0.193042049153946,
      0.232881432534725,
      0.14990744476103,
      0.117853556532126,
      0.61624887264652,
      0.157926964668073,
      0.112898516036372,
      0.291521623986928,
      0.174007623317202,
      0.35413369439123,
      0.361443996545044,
      0.267363242418316,
      0.519189282703632,
      0.0880379558369811,
      0.313561831475536,
      0.320863949948114,
      0.321718985967557,
      0.451626734185992,
      0.556809426306788,
      0.509020200377188,
      0.347937260150039,
      0.240090392909357,
      0.307892201770944,
      0.185464314540989,
      0.36011781227461,
      0.0798273382254959,
      0.41362531644555,
      0.246010916158707,
      0.115829786190071,
      0.212381053592579,
      0.270902642638957,
      0.694550869148346,
      0.2465249529697,
      0.0668520748495065,
      0.326533955028713,
      0.150085752462779,
      0.273249223262614,
      0.238392015958612,
      0.282605937046591,
      0.194359988110841,
      0.15744310835602,
      0.342590091723585,
      0.439457998971216,
      0.616626410504108,
      0.455004722351841,
      0.389461197889565,
      0.443202562808858,
      0.505291813960571,
      0.316842438227996,
      0.298377016235746,
      0.18903438862805,
      0.122226810079289,
      0.199608561606628,
      0.381434048917349,
      0.668098563867081,
      0.14823736638707,
      0.154282401074856,
      0.369989167677953,
      0.257656119631571,
      0.669828143027043,
      0.639008091962525,
      0.504905122272806,
      0.551337906715487,
      0.333674683013456,
      0.54473747797678,
      0.51584711326117,
      0.412025775423862,
      0.566271016891828,
      0.460582899571179,
      0.508718068120817,
      0.408810688972306,
      0.422307706029844,
      0.481353540207048,
      0.694764562736072,
      0.487401273485025,
      0.276811159077931,
      0.415934642329889,
      0.678909199485503,
      0.300848799256847,
      0.530221860066299,
      0.402102416067384,
      0.259964924200494,
      0.356031531452442,
      0.00857229724628746,
      0.601137791958537,
      0.160302539756756,
      0.341115921151483,
      0.281650501781517,
      0.140624746046158,
      0.00830432453120863,
      0.140012900172447,
      0.197239176876989,
      0.611966168776787,
      0.446477066827405,
      0.42445390859436,
      0.399774045239289,
      0.629163477111935,
      0.614545235809815,
      0.256581849971872,
      0.263169916884982,
      0.126310478070005,
      0,
      0.377300818565159,
      0.665910431144522,
      0.539359454026348,
      0.171138430755354,
      0.400733641267639,
      0.195662178687448,
      0.193098133845089,
      0.37321679627178,
      0.166224936189891,
      0.562313989925204,
      0.162767224433419,
      0.376836477732772,
      0.51028131018398,
      0.182759106811829,
      0.179953016788101,
      0.0940200626204139,
      0.131627256607839,
      0.500948805421357,
      0.493971249652116,
      0.289454106034901,
      0.673921923054333,
      0.451128925737808,
      0.435028769134337,
      0.37043290954815,
      0.0715615802482579,
      0.0668493677620034,
      0.291947567054022,
      0.535727425492362,
      0.483812490362568,
      0.37177479407051,
      0.120064871282155,
      0.499025587716419,
      0.486256246489164,
      0.642167376155813,
      0.219389220737436,
      0.270581162760175,
      0.349145308933443,
      0.296770261013348,
      0.408691601117866,
      0.650145169624206,
      0.469415189364855,
      0.093285777791048,
      0.419269849339998,
      0.143106642605358,
      0.283766137991015,
      0.221480407354686,
      0.201017034673524,
      0.2618843049615,
      0.33240860853524,
      0.214084867139372,
      0.627514289730243,
      0.286125243132844,
      0.239201929317673,
      0.314578031680851,
      0.190481187857522,
      0.0525781260223315,
      0.0396955126813182,
      0,
      0.657127728866891,
      0.271446108783644,
      0.213006806232767,
      0.516090259190944,
      0.39357242025591,
      0.416946998058671,
      0.600807177588385,
      0.435954268075678,
      0.647280569748344,
      0.38448389503044,
      0.21078699741148,
      0.64714376152443,
      0.293911641977239,
      0.271503189320836,
      0.319934564303761,
      0.260145286240476,
      0.0406592262292875,
      0.230359268687868,
      0.70106464921836,
      0.570132275523848,
      0.0394397820938326,
      0.372637662500629,
      0.371321744390085,
      0.603591079110913,
      0.386682967750054,
      0.246917006131855,
      0.476878820355532,
      0.0937705490258797,
      0.274065227199379,
      0.492364923935778,
      0.698597246562521,
      0.503157929949295,
      0.478858485463143,
      0.49738216357244,
      0.329578339302821,
      0.228267116927751,
      0.296565376867886,
      0.227629955130819,
      0.525183308323197,
      0.10870929083682,
      0.414793507609074,
      0.516980078751015,
      0.155222756579142,
      0.235177542535896,
      0.535800911167971,
      0.615434106016175,
      0.371084917880742,
      0.259020346325396,
      0.605182493991687,
      0.65572819511093,
      0.629327007508407,
      0.678370182508061,
      0.42386827545898,
      0.231730443349508,
      0.169982282054022,
      0.345438558389432,
      0.344644455759511,
      0.530356199066655,
      0.383201021305053,
      0.332579961902991,
      0.566146752402384,
      0.513113311275834,
      0.329787522578838,
      0.215204133018889,
      0.32580034635437,
      0.14418281802448,
      0.450676550405537,
      0.310887377120895,
      0.589964048990063,
      0.160857846926935,
      0.239060601603048,
      0.426683529703923,
      0.217124243298115,
      0.659624663173846,
      0.62869582068937,
      0.492199432111965,
      0.445378509647805,
      0.501811486368331,
      0.580436078824011,
      0.674828823043883,
      0.439406379205191,
      0.591775627639464,
      0.406575033952473,
      0.521839255669265,
      0.387080804832189,
      0.317990817545477,
      0.502542641221118,
      0.587159040124809,
      0.478851641379356,
      0.341077155228092,
      0.395659255721612,
      0.62893555552323,
      0.2883777308038,
      0.606251844349103,
      0.317223042128562,
      0.495071268536209,
      0.254813566622841,
      0.132309593723461,
      0.671389934425209,
      0.256436692032129,
      0.13814322913584,
      0.361107534974041,
      0.0781368890304055,
      0.420007776649916,
      0.222198844185417,
      0.0703239707364615,
      0.629606233943579,
      0.3403654815739,
      0.45999091547878,
      0.511486551573906,
      0.377771955704755,
      0.497798813791104,
      0.319978756514304,
      0.334665613777133,
      0.407698467488786,
      0.0646528900877739,
      0.404367641143551,
      0.689195111968604,
      0.4953037944847,
      0.0843992075967229,
      0.435241377433432,
      0.232705091588931,
      0.248578778104038,
      0.276034287940373,
      0.154456880293628,
      0.380905102250568,
      0.191954700485258,
      0.389816322308621,
      0.638929908081362,
      0.511450862018975,
      0.234582512888053,
      0.152100604340719,
      0.614949839298835,
      0.506728280371679,
      0.324654738974204,
      0.336637081019794,
      0.583094192982747,
      0.466332650498802,
      0.317007522779828,
      0.381683358829116,
      0.0812134637613926,
      0.160981901773527,
      0.347145945322596,
      0.255390918726364,
      0.552415840524429,
      0.365348146573932,
      0.274105035829021,
      0.645750745619114,
      0.455538194875401,
      0.614252999677821,
      0.274920418204348,
      0.195680885819029,
      0.396897042946136,
      0.296123959891669,
      0.392436054936333,
      0.5612305628036,
      0.490901281993932,
      0.280873563018616,
      0.422972125550045,
      0.227507514805032,
      0.311730751245448,
      0.278529408899206,
      0.310566071546742,
      0.178888059843067,
      0.286036353469437,
      0.307276723968456,
      0.669873512123629,
      0.282187314543472,
      0.200454473319029,
      0.33337621547135,
      0.168369188393862,
      0.0425570087597943,
      0.00713131959973407,
      0.223082091516507,
      0.493585758612166,
      0.26155835235626,
      0.265019773240261,
      0.504510160851914,
      0.40028180349983,
      0.306423965255346,
      0.574879598971019,
      0.463619403654327,
      0.666153267632373,
      0.395327628470315,
      0.211738892721119,
      0.664693714278949,
      0.293520307474944,
      0.213306996470116,
      0.380773436605012,
      0.269132380026814,
      0.00698080850411971,
      0.235573592864951,
      0.63760252875075,
      0.356301231920935,
      0.0516006307713143,
      0.439821523678993,
      0.589260967968885,
      0.594834314602802,
      0.348507487788885,
      0.264824081635277,
      0.438873783604728,
      0.147730552588232,
      0.308108373436287,
      0.405199011390043,
      0.65048558737601,
      0.484995657581525,
      0.533093797698624,
      0.512923181596737,
      0.269370264615391,
      0.160346458343406,
      0.280621291874122,
      0.272567941157579,
      0.447783367417835,
      0.158103495827252,
      0.445763423932783,
      0.69036483810849,
      0.230524542825821,
      0.177773749707673,
      0.592982353420366,
      0.462041308496535,
      0.416662851944011,
      0.313701396454199,
      0.655086077849709,
      0.572079683065799,
      0.633580416542174,
      0.666775065124562,
      0.507009726270809,
      0.552875939504929,
      0.475174654182216,
      0.566638051524475,
      0.269691021948329,
      0.605302929134086,
      0.412566084444838,
      0.313519884989315,
      0.689691418199286,
      0.563466894586021,
      0.379754809285271,
      0.36512772991642,
      0.493948539700657,
      0.311618877518445,
      0.501389338471959,
      0.336459912839251,
      0.486234900678691,
      0.283882103927265,
      0.256208658385906,
      0.478215814024766,
      0.228082567688371,
      0.441782677885983,
      0.604605900978828,
      0.490462263293548,
      0.533844807453666,
      0.559235272753929,
      0.544887875867551,
      0.669594430644701,
      0.449923923885759,
      0.585224341072018,
      0.453116780638648,
      0.564746107516116,
      0.302311662675284,
      0.245767528667811,
      0.485459304407424,
      0.317627122823815,
      0.466573560250996,
      0.248214773720592,
      0.62586065772049,
      0.0843015063639844,
      0.356892790886609,
      0.538553080739318,
      0.177188976747161,
      0.665605293197764,
      0.267189676564769,
      0.330398598113166,
      0.61378724836449,
      0.195447125295001,
      0.211290909731971,
      0.497693452684342,
      0.491624062468414,
      0.481409711901787,
      0.668306619838413,
      0.30940056499317,
      0.357719651749908,
      0.24042534739335,
      0.0778874164517614,
      0.641525899493186,
      0.586638945146483,
      0.105500699018262,
      0.258618360097375,
      0.124741092837526,
      0.203852803026975,
      0.189117994340883,
      0.456224668367982,
      0.580865094553219,
      0.110766829863718,
      0.14611110784702,
      0.688692465735224,
      0.185100433389038,
      0.175655650648476,
      0.146043418229048,
      0.600059110345203,
      0.242087421841371,
      0.518753791817115,
      0.470307823242268,
      0.699907306389909,
      0.406619325290243,
      0.163475871610171,
      0.340227463775409,
      0.376674465672618,
      0.012712397548414,
      0,
      0.177570658002344,
      0.497564816568954,
      0.449911712466994,
      0.385561323382547,
      0.465598753469656,
      0.412024928054775,
      0.25094746727971,
      0.424860579775743,
      0.301649450087497,
      0.472888780173751,
      0.536017445806393,
      0.383566148170222,
      0.682379452872428,
      0.443161122186561,
      0.277376292919496,
      0.421586701713448,
      0.247690045946347,
      0.136490982728456,
      0.237724458596641,
      0.164399856680739,
      0.257836598944843,
      0.138249556394561,
      0,
      0.360395206129655,
      0.485722877696013,
      0.575382690581562,
      0.523958622125279,
      0.317909837167489,
      0.411062767223747,
      0.393420590929731,
      0.185678925257458,
      0.199563069374104,
      0.17172633714165,
      0.248255626352306,
      0.177439859347003,
      0.505549259664511,
      0.251580349748101,
      0.155631953714609,
      0.356030896659734,
      0.378339165611503,
      0.360918171170364,
      0.263773444383889,
      0.3148521088986,
      0.427536763971877,
      0.129852298613907,
      0.31735982536459,
      0.529796815990637,
      0.546928332700071,
      0.483952179245014,
      0.47166201294456,
      0.578742457446449,
      0.275630686513985,
      0.186324575367582,
      0.191482703918461,
      0.165931344131998,
      0.481360077542394,
      0.0913302419632141,
      0.478368459365988,
      0.215911496224997,
      0.0777626256255745,
      0.240658529536006,
      0.501182302343537,
      0.640607180092286,
      0.338628898729372,
      0.117489081606276,
      0.258253645646111,
      0.435762435131863,
      0.286476551005028,
      0.531348692547934,
      0.478891350172041,
      0.253033761589618,
      0.385528948623419,
      0.435317979833429,
      0.397556361913648,
      0.531301041551879,
      0.415632168520738,
      0.249922897976491,
      0.44144298378345,
      0.52281847281077,
      0.486569659790578,
      0.416671529641391,
      0.206739579060929,
      0.339444419426332,
      0.244800230438281,
      0.377593686173618,
      0.648931015292052,
      0.370872210933661,
      0.387250906561698,
      0.403112429342196,
      0.336044251504691,
      0.564672093649398,
      0.479741624460313,
      0.382781042729998,
      0.521588084176485,
      0.509293705885846,
      0.4692541747328,
      0.521665291710032,
      0.393831566119894,
      0.378179841652974,
      0.468052952410679,
      0.491143810640173,
      0.541694058640469,
      0.459620682453804,
      0.392720723467269,
      0.671679853557457,
      0.568375853899111,
      0.567625021028879,
      0.424440554498499,
      0.498690578400867,
      0.170170284144177,
      0.442943389184052,
      0.393108995292457,
      0.301317416285482,
      0.452338363504269,
      0.105453159206679,
      0.550542268472086,
      0.138678020351571,
      0.413263077698276,
      0.470633124919484,
      0.156294302466414,
      0.0826513537971398,
      0,
      0.268966827675362,
      0.599119421877109,
      0.308061805758886,
      0.344376710448904,
      0.35288010444647,
      0.456130279307051,
      0.645685774435822,
      0.207730992128682,
      0.247315007716966,
      0.199831097692527,
      0.128074828212518,
      0.224247460962892,
      0.645580731148373,
      0.480178434805692,
      0.157953955138125,
      0.327688686391885,
      0.188584506203503,
      0.222922192580991,
      0.37676519495483,
      0.522721417845173,
      0.518786880516933,
      0.073465730505769,
      0.286395974498352,
      0.48093589605736,
      0.245622766048144,
      0.274983433876687,
      0.218888044420169,
      0.233598113119911,
      0.386928216610565,
      0.457301478543802,
      0.254477055501295,
      0.664029760703005,
      0.337809912581011,
      0.372806387904583,
      0.362275679154583,
      0.0959667051207015,
      0.168426681283654,
      0.137323652195926,
      0.562365727015888,
      0.414091082340399,
      0.395828330762493,
      0.350489345207849,
      0.454814406679391,
      0.39765648014897,
      0.485530906656341,
      0.322088762842484,
      0.209861501738621,
      0.259494311204932,
      0.378178729610243,
      0.376417874052578,
      0.638199419434543,
      0.379605358054628,
      0.0577583369922441,
      0.383559751805546,
      0.125215949848123,
      0.25757034087922,
      0.22869212316862,
      0.232801689204593,
      0.303964361264112,
      0.454846755278236,
      0.269555982321562,
      0.593478098153341,
      0.242279643856512,
      0.234136673531629,
      0.18932163428404,
      0.272371583767952,
      0.211548188290257,
      0.173413724492237,
      0.0425959347806675,
      0.623451789614858,
      0.172102151061133,
      0.182452973390541,
      0.434873402880123,
      0.254764744366751,
      0.369630195250111,
      0.506591137173973,
      0.495332005141928,
      0.5111896406197,
      0.507569237423002,
      0.274425728807338,
      0.605366082149119,
      0.302028818926007,
      0.251656632273433,
      0.231901277394114,
      0.245355930430729,
      0.051002164564793,
      0.222516854415784,
      0.609770767341668,
      0.53792816766023,
      0.0947341376695894,
      0.328259446534684,
      0.359206230116074,
      0.409407979570319,
      0.274923256726392,
      0.308585938028178,
      0.417555784866187,
      0.139629589800148,
      0.284914682261124,
      0.494754953948262,
      0.683083287954512,
      0.540530783839333,
      0.438762473134173,
      0.575500961419481,
      0.251953313977142,
      0.293215667394752,
      0.23185755894546,
      0.17278171911497,
      0.514435025661396,
      0.213255989760427,
      0.533121410608853,
      0.494310428018048,
      0.154272843601439,
      0.303267684532844,
      0.661540283001228,
      0.442700559986506,
      0.40305067571135,
      0.254360063775833,
      0.430929873623963,
      0.645440602271943,
      0.432440341412034,
      0.528039361771953,
      0.526886118899135,
      0.279365759979205,
      0.423990682689428,
      0.472541432084088,
      0.369102252472132,
      0.341457486605152,
      0.414594550129114,
      0.236733019990905,
      0.553367915442328,
      0.514845177903065,
      0.553086726356144,
      0.38540819832721,
      0.371802942004074,
      0.397914318496446,
      0.311272369336638,
      0.29715251212967,
      0.558375428256709,
      0.393614319931089,
      0.35796039040958,
      0.433078374791395,
      0.235208298450448,
      0.559591167405683,
      0.46027275275911,
      0.346766352178869,
      0.479351894988735,
      0.488212324702785,
      0.456158670147096,
      0.648982173033131,
      0.370494039628649,
      0.433461659178643,
      0.417895091359071,
      0.48391571050494,
      0.570500239811731,
      0.384514953967822,
      0.296373091597702,
      0.560858155316472,
      0.510416551063474,
      0.562156418244109,
      0.429179050952018,
      0.410091758339897,
      0.258033638256309,
      0.464142285929325,
      0.338534119239532,
      0.568548246284688,
      0.240051754882196,
      0.337626509774175,
      0.637593898379875,
      0.0994021066030887,
      0.136882250120183,
      0.29482509717047,
      0.139238715143975,
      0.282643716494062,
      0.167175561690926,
      0.129580188223725,
      0.533090635318913,
      0.457542190620974,
      0.434493866373134,
      0.554594933995657,
      0.377316916914135,
      0.398759012268786,
      0.30121892623161,
      0.511093722290822,
      0.613855566144147,
      0.143635922857193,
      0.252665269028947,
      0.663117577363461,
      0.467886749925043,
      0.109668760839496,
      0.355527465240451,
      0.237688005323858,
      0.22587494508628,
      0.484999144508154,
      0.179268641694519,
      0.286362254510583,
      0.320237120960415,
      0.410911846791707,
      0.624366888304747,
      0.465929153283762,
      0.193093614268055,
      0.216192096833995,
      0.50444128808317,
      0.410703131241497,
      0.329576358011113,
      0.271588505659746,
      0.576758838668062,
      0.442303035931909,
      0.173881006264481,
      0.394283641505103,
      0.271009010060375,
      0.236961840705003,
      0.215246412129745,
      0.183538135180491,
      0.519892370059188,
      0.458445841555622,
      0.476849603007114,
      0.628982492244991,
      0.458281940066818,
      0.456164005029151,
      0.337140027978373,
      0.157324048714191,
      0.406288439528175,
      0.306708982133664,
      0.488324204524931,
      0.520686571364388,
      0.376614363450458,
      0.303010277506901,
      0.442243519301454,
      0.191987796768824,
      0.252275556638964,
      0.242350115888202,
      0.239868730712817,
      0.203195867100903,
      0.277489053917221,
      0.369758920898523,
      0.650827817013498,
      0.192037805690008,
      0.161032995359049,
      0.325244372296545,
      0.288414448935149,
      0.194273988805673,
      0.161957110304753,
      0.0853376424298939,
      0.42551039157223,
      0.122976258183318,
      0.196769966635647,
      0.455866197534915,
      0.215577199407858,
      0.411488897165374,
      0.52412680121767,
      0.476444532158777,
      0.545289669200248,
      0.540416023914802,
      0.330509213915528,
      0.631366625300981,
      0.379175617943815,
      0.251977201519708,
      0.354843149044947,
      0.270845707944494,
      0.0192377868982068,
      0.224106116650481,
      0.548154605249404,
      0.436821036927615,
      0.0790899515597139,
      0.414106484214358,
      0.557031765552831,
      0.376954226508785,
      0.389521350999711,
      0.261205945471474,
      0.386675823528403,
      0.212167465917614,
      0.350358843125967,
      0.48506940286748,
      0.616402856311693,
      0.509298009393254,
      0.470545930090265,
      0.531436709394842,
      0.234981626198739,
      0.199308956809104,
      0.19887867496121,
      0.256977758165899,
      0.498014246104752,
      0.239220212878383,
      0.573545698622582,
      0.674519231219659,
      0.165997337606907,
      0.234823346506006,
      0.666776960419188,
      0.402741176713575,
      0.43371117276377,
      0.316171286614373,
      0.458898461389593,
      0.522684524181741,
      0.46961245298147,
      0.56355311128876,
      0.498852278095154,
      0.443522519270082,
      0.557629110178035,
      0.476327431155118,
      0.331652100796341,
      0.515428115024741,
      0.421399057389428,
      0.251331557229537,
      0.665014871953654,
      0.474800441088833,
      0.538781563257026,
      0.440109893136421,
      0.440968483807133,
      0.313252294516415,
      0.518954638405199,
      0.507566530255438,
      0.557048892763997,
      0.4361808029447,
      0.271704401015026,
      0.513450879250925,
      0.374915666476426,
      0.573046084471241,
      0.442489268465347,
      0.32832116952132,
      0.545368756089173,
      0.483038719152709,
      0.420043730721496,
      0.641172720097465,
      0.414579962656899,
      0.429127918575572,
      0.426382879081444,
      0.449106537760471,
      0.516441334430777,
      0.338286442764734,
      0.219352281862064,
      0.371762691098948,
      0.525108641561331,
      0.55748503112259,
      0.589526305434546,
      0.158024155792286,
      0.245086320230218,
      0.515648773503369,
      0.342447228053939,
      0.457830769922225,
      0.320519065319621,
      0.134810074261504,
      0.585281087317846,
      0.243948669900643,
      0.156873891170654,
      0.501957766091574,
      0.388738155226349,
      0.459388964419845,
      0.516246610043202,
      0.216218384529271,
      0.431688685698216,
      0.14307119129427,
      0.204091074566201,
      0.604539978445624,
      0.365115575150493,
      0.189790252038955,
      0.290666148002359,
      0.0996683596477446,
      0.187568947756144,
      0.146599776953566,
      0.329277393682746,
      0.542572277999834,
      0.198888158011224,
      0.121862753665494,
      0.725732465717933,
      0.183606023984194,
      0.112016058888413,
      0.121706554948493,
      0.653367355981088,
      0.252320422812428,
      0.600442499439304,
      0.440903318891868,
      0.682389222684553,
      0.170743475178827,
      0.188196483133369,
      0.289672994069965,
      0.315776772205145,
      0.125636287267335,
      0.0608014270729212,
      0.115176695791952,
      0.421323374731975,
      0.426902407109222,
      0.305677342583218,
      0.430194990133318,
      0.379002928293541,
      0.266485417034017,
      0.366128547960392,
      0.204203883002322,
      0.339661223542521,
      0.362873532213196,
      0.348789916832424,
      0.667194221695927,
      0.311843954513486,
      0.243624916785862,
      0.368875441256032,
      0.306228612156744,
      0.0842423462339993,
      0.22468088390454,
      0.296079498755731,
      0.389467485054823,
      0.234888681284195,
      0,
      0.271249023742878,
      0.494543769629025,
      0.601439091980875,
      0.58892366153165,
      0.379348818397707,
      0.464093435267613,
      0.363332972799653,
      0.247981112544991,
      0.253395583758452,
      0.168632887721185,
      0.213747800456594,
      0.173323924298249,
      0.272407858198773,
      0.39592173181455,
      0.158915049377622,
      0.384408837312615,
      0.534927900876199,
      0.446994393376811,
      0.264608534671638,
      0.285697388054649,
      0.252110248459954,
      0.259940571330749,
      0.424045355947411,
      0.545823093502999,
      0.689577186750579,
      0.542796819977766,
      0.305178433729931,
      0.562451238673078,
      0.302745236579856,
      0.175087295579399,
      0,
      0.137881925144212,
      0.535684526476789,
      0.0631598262833808,
      0.45377715648786,
      0.300774672746763,
      0.0336507567686385,
      0.164531822267067,
      0.600323556025471,
      0.522556768367025,
      0.36409255507581,
      0.116903192159927,
      0.271900313433294,
      0.529408164713796,
      0.283434372244577,
      0.585994398398479,
      0.535936353229726,
      0.351614074369659,
      0.375481627901646,
      0.407056688054389,
      0.374734525535196,
      0.496204194501024,
      0.285365000508075,
      0.20050144588874,
      0.448267907567964,
      0.40009162278828,
      0.483867043856832,
      0.460155751079883,
      0.323132080343354,
      0.335683138287912,
      0.339513807272438,
      0.547370050035836,
      0.66898850874123,
      0.499034876400736,
      0.452809538391703,
      0.509640893722165,
      0.356782803840678,
      0.536731483974926,
      0.546520646980855,
      0.356009968914869,
      0.60251699324114,
      0.524541665571153,
      0.355466874030027,
      0.518748966937088,
      0.418953767563938,
      0.250226687849744,
      0.56076231003951,
      0.339536458097199,
      0.632277628080599,
      0.47746232926515,
      0.357475092891941,
      0.642881841519816,
      0.637222423194689,
      0.681830778363491,
      0.519805003500076,
      0.269283140598126,
      0.187488226915241,
      0.478065021973733,
      0.463722569092058,
      0.40942956234575,
      0.542142920607528,
      0.191325978098318,
      0.522015569326754,
      0.126646483435949,
      0.484106744082429,
      0.580089089398416,
      0.171461362983883,
      0.0427266066679624,
      0,
      0.320748928478406,
      0.573322228445177,
      0.153849325459045,
      0.2200859743816,
      0.391907976573467,
      0.427968883388875,
      0.640362829377752,
      0.186016417470333,
      0.292760757347356,
      0.288171976297859,
      0.115005448976251,
      0.0883544424652458,
      0.602973943719364,
      0.470640580518584,
      0.162796933917251,
      0.340135945650614,
      0.143720430127329,
      0.34116857846466,
      0.394185291343098,
      0.632287269495933,
      0.523160975373043,
      0.136665924233376,
      0.27250517324584,
      0.457849745098334,
      0.185884802818215,
      0.377410592159041,
      0.160287113360728,
      0.307486981536229,
      0.400843981135871,
      0.44505175437462,
      0.346803104712047,
      0.652013184785374,
      0.355451057542368,
      0.377389661823057,
      0.429378846466951,
      0.142341291612093,
      0.291159524973422,
      0.0885233899286082,
      0.604636029415137,
      0.428148001141063,
      0.40908294427587,
      0.458475588842759,
      0.454595296450182,
      0.196506833829425,
      0.466472233231654,
      0.411258454216489,
      0.255174581988625,
      0.347140023959467,
      0.46650820233208,
      0.363647772055207,
      0.614791282792117,
      0.316022263046496,
      0.111472489688634,
      0.38612017527664,
      0.077768108640547,
      0.325435895273287,
      0.352794372712781,
      0.304273379653756,
      0.366016673158326,
      0.459498677680049,
      0.31341743847932,
      0.58488040684637,
      0.205834416418034,
      0.252190830414959,
      0.239802282924175,
      0.242701932120317,
      0.321224795035628,
      0.265004561865925,
      0.0794952971155572,
      0.605056545104069,
      0.165861492211303,
      0.184979823337077,
      0.420172597270494,
      0.130197913771933,
      0.399507563201608,
      0.492173504512492,
      0.439139218427838,
      0.536347966223327,
      0.57431231549286,
      0.389179298247701,
      0.674356491315218,
      0.307581272818497,
      0.236579228948321,
      0.220645113937041,
      0.229592732585297,
      0.072565903808776,
      0.242455011594007,
      0.380603213437619,
      0.53255014011066,
      0.106640591564108,
      0.378265225242242,
      0.524702149819628,
      0.437528118865853,
      0.242280878675684,
      0.293194422775676,
      0.245125075322916,
      0.217332055759049,
      0.333205750754946,
      0.562782686388049,
      0.686989468804228,
      0.591678647664015,
      0.318262746610418,
      0.588286255500165,
      0.250245664689558,
      0.347157566056574,
      0.164291856750326,
      0.171811621449562,
      0.539186788401631,
      0.414677763222649,
      0.624047376108825,
      0.532853479769294,
      0.173925519875327,
      0.220575024603377,
      0.6349270553808,
      0.520612200040233,
      0.46495812569077,
      0.272890328560966,
      0.201759009790509,
      0.618319169872363,
      0.403789407919804,
      0.515284885535444,
      0.619542802840993,
      0.352505590487106,
      0.482713270500168,
      0.47067986235863,
      0.449313797744339,
      0.268786287113722,
      0.29488073596189,
      0.163610339930758,
      0.494805598411046,
      0.357712158074656,
      0.620540438257728,
      0.459329486210349,
      0.423700163211982,
      0.404765858646687,
      0.370096886324194,
      0.471106625314449,
      0.580344015998149,
      0.521730147501035,
      0.401495533390507,
      0.526257369844695,
      0.3163422344637,
      0.609376412653027,
      0.525365548453814,
      0.402152649150455,
      0.60075732193075,
      0.488526949638695,
      0.270768405409658,
      0.632335348835561,
      0.539129972291857,
      0.237237002523216,
      0.486753022689935,
      0.314284580400604,
      0.684491410531594,
      0.489437412076514,
      0.317836290354742,
      0.541361141925576,
      0.596214452315673,
      0.673223974630532,
      0.527824022963366,
      0.270115469562952,
      0.218403637305142,
      0.444985649010962,
      0.466073039436393,
      0.594012770703226,
      0.238782682786681,
      0.455090883102959,
      0.59852226953176,
      0,
      0.139592871515963,
      0.310569467321631,
      0.18877751381287,
      0.0955089734829832,
      0.19412215852717,
      0.303334655953201,
      0.56573720167197,
      0.426999357915647,
      0.272289254627626,
      0.562564100592969,
      0.444201698227975,
      0.333072872951423,
      0.232317093432906,
      0.538928619145878,
      0.696566212091285,
      0.135772183412016,
      0.160538962838207,
      0.630276552069882,
      0.427432383980503,
      0.141825678944514,
      0.362364715086983,
      0.245547844068382,
      0.210146427836099,
      0.599315172811632,
      0.32776640588109,
      0.294992038763343,
      0.334464093133837,
      0.454261837483697,
      0.578942183926758,
      0.316647797854852,
      0.141934054922361,
      0.221162630587631,
      0.575510076158562,
      0.415912100391438,
      0.284739802415023,
      0.357143618291383,
      0.573025160384164,
      0.610371770792481,
      0.11101129233341,
      0.481999452959708,
      0.374515316525993,
      0.321837619658976,
      0.181331166213893,
      0.186884510769156,
      0.549276448879481,
      0.506103244536688,
      0.584762819115039,
      0.498090653385189,
      0.386308712651401,
      0.426795329053902,
      0.419351544119435,
      0.224349257842299,
      0.502090863836994,
      0.457197683220673,
      0.589534831441749,
      0.4980304881273,
      0.254623603655761,
      0.252283322080885,
      0.477200925513165,
      0.148869583416192,
      0.312591725655127,
      0.348684189986347,
      0.334604653331889,
      0.265522565605539,
      0.345759675209399,
      0.440322123727525,
      0.631888202452037,
      0.0993014383360464,
      0.130126832905959,
      0.329972539555296,
      0.267822244136792,
      0.255261550823843,
      0.317793718037731,
      0.0543893522253667,
      0.418279036716877,
      0.15772219974165,
      0.192308178341011,
      0.515419146086745,
      0.114272059389825,
      0.450891493480462,
      0.560800602460691,
      0.428590010488029,
      0.604134179518132,
      0.603868761490762,
      0.35264023273459,
      0.585525554406495,
      0.426484409524826,
      0.279655832699416,
      0.312351720629668,
      0.207042974226611,
      0.107894199532192,
      0.264550025578876,
      0.382525147743667,
      0.50519317855045,
      0.0831891934279502,
      0.48178510231857,
      0.575762415773687,
      0.443370058754792,
      0.324302284772972,
      0.309475922696697,
      0.189318835500325,
      0.245598769076042,
      0.457969657336129,
      0.551376383699909,
      0.656584394010571,
      0.560372959500939,
      0.249040535376435,
      0.553220463331314,
      0.275554938883665,
      0.209183698507525,
      0.0945979935998793,
      0.114375075890017,
      0.433994771435129,
      0.398252466291945,
      0.588739860275517,
      0.590074374327137,
      0.152655047644694,
      0.185187741567982,
      0.652031653495985,
      0.527038741900863,
      0.517188760854027,
      0.358202820993406,
      0.363606257210407,
      0.52822228933603,
      0.50464003833886,
      0.519400436589,
      0.607098968683602,
      0.402306178629665,
      0.646685901957665,
      0.453829445414198,
      0.544835020461543,
      0.309025172421848,
      0.457546682453031,
      0.297431372133643,
      0.605769462729475,
      0.323228872151349,
      0.610380031221325,
      0.509545329011411,
      0.433642179746418,
      0.32760859199143,
      0.616582839457136,
      0.632890455765473,
      0.606137562967133,
      0.513774587433765,
      0.437924494801478,
      0.539787947340241,
      0.485321780628244,
      0.632076850601168,
      0.56194059143825,
      0.420790001857848,
      0.636256373937993,
      0.485058714225537,
      0.285695552494765,
      0.606433300149082,
      0.476242018200451,
      0.241529760927994,
      0.466332632075326,
      0.330052232844936,
      0.553946910675972,
      0.46415968999702,
      0.296139284762384,
      0.42814972763832,
      0.55477230169563,
      0.671932592181078,
      0.589666973765775,
      0.27914205746923,
      0.202730888751949,
      0.462119166891236,
      0.471492159644979,
      0.394833171671417,
      0.332232317729252,
      0.0352054790212766,
      0.54546790451628,
      0.440103545858886,
      0.177757075777979,
      0.503532309203862,
      0.383621686965407,
      0.341918048972885,
      0.300648039612776,
      0.333389368129412,
      0.508603051319417,
      0.0915633756197045,
      0.310106105688513,
      0.595479679168475,
      0.0539176942047168,
      0.174467973600542,
      0.306166324001158,
      0.088112268591596,
      0.204277691797684,
      0.186821450409802,
      0.224240866772796,
      0.506431074776813,
      0.242660679432726,
      0.079274237803044,
      0.652590368708644,
      0.195345604065792,
      0.0621478362355554,
      0.0762323326380064,
      0.471888330295654,
      0.311419783588256,
      0.488018025078581,
      0.394308239481284,
      0.63398971563448,
      0.194304494327951,
      0.154209325591945,
      0.29340632102757,
      0.299055715697381,
      0.104341705912923,
      0.0329821992858591,
      0,
      0.425005454481647,
      0.444224732738265,
      0.325191690395765,
      0.53658884995689,
      0.382421207105962,
      0.176735244531662,
      0.450224047253076,
      0.196384409521957,
      0.11280209150223,
      0.219980038026862,
      0.194675011751953,
      0.63215531006648,
      0.267891564082977,
      0.268714594074642,
      0.361268949588249,
      0.275271371659511,
      0.0250498101158715,
      0.243620952610678,
      0.338870369822295,
      0.43107446873044,
      0.320678257206251,
      0,
      0.292142653674598,
      0.488538352514722,
      0.52588478833145,
      0.510321265483607,
      0.337650170488414,
      0.43020028793248,
      0.368978137235641,
      0.150246220006789,
      0.254465682017232,
      0.145083805053791,
      0.1002078222375,
      0.148695202254526,
      0.143284714094157,
      0.351438477287,
      0.151698853991762,
      0.434132436129313,
      0.456873375684988,
      0.332171365536616,
      0.239443801783609,
      0.313443632470196,
      0.174259393380067,
      0.344804393707284,
      0.420724338225578,
      0.452068770985564,
      0.598886777204555,
      0.56474583298442,
      0.208261714894148,
      0.44216012193169,
      0.320333570029378,
      0.0331066088108463,
      0,
      0.0542482535069663,
      0.507282079702522,
      0.117307979616997,
      0.438057837069478,
      0.244028625545663,
      0.0497213185724483,
      0.0110281406022694,
      0.54157007847498,
      0.428162342650503,
      0.387911895635652,
      0.167037931916737,
      0.300235865417675,
      0.380462536686494,
      0.21046354889371,
      0.403586290979521,
      0.357089391808324,
      0.396982170402832,
      0.216589970384311,
      0.37145967333272,
      0.294208019894056,
      0.556923564406903,
      0.294239592968659,
      0.151390110207753,
      0.489237435728795,
      0.252357680093982,
      0.289028903092331,
      0.38408849845361,
      0.351135165364002,
      0.201761453297499,
      0.365404514235823,
      0.491765434723661,
      0.611208482803583,
      0.480272979754405,
      0.37016660051416,
      0.466378873064855,
      0.301188096038029,
      0.487281139757389,
      0.507903387288096,
      0.336948454910299,
      0.507517214202606,
      0.510302664626202,
      0.347996018988602,
      0.522982469178662,
      0.538030004904383,
      0.228133008055126,
      0.636842768823702,
      0.327380381351161,
      0.500623565757011,
      0.432739154586368,
      0.499306627618649,
      0.584624683175232,
      0.501937001426147,
      0.556933145969357,
      0.414534689981196,
      0.1703834093082,
      0.1858852338143,
      0.451378794127538,
      0.345561372429635,
      0.568367148983151,
      0.537960531128869,
      0.158719814974882,
      0.505823140128003,
      0.0504753221022776,
      0.490129237404549,
      0.452411383107365,
      0.14588515851858,
      0.0604100302623385,
      0,
      0.297400699213765,
      0.584071954719545,
      0.108363747807287,
      0.195036163210945,
      0.393616681455988,
      0.311195837944798,
      0.612957127901708,
      0.175894163159698,
      0.31121989012978,
      0.19819637698383,
      0.100547270648931,
      0.14253322830182,
      0.547772390612146,
      0.416121047304637,
      0.144650912999014,
      0.266507930858571,
      0.119668034310763,
      0.259664443484903,
      0.398206865247723,
      0.499292297123398,
      0.559886588096198,
      0.0225539556385039,
      0.237834888043816,
      0.459295400154302,
      0.0664011343198092,
      0.318282428763771,
      0.208165367660706,
      0.267085065847266,
      0.30241986191825,
      0.39934000955663,
      0.274322433121544,
      0.616128707566896,
      0.381625933460415,
      0.306852961229523,
      0.326049737722386,
      0.0449885914272825,
      0.233546698107815,
      0.0947651607292811,
      0.529840278359451,
      0.465827848812462,
      0.430848162595397,
      0.328840374701594,
      0.458534003744623,
      0.207148180241827,
      0.447658872786462,
      0.384897711732649,
      0.323886938161062,
      0.213368753544917,
      0.557694392456466,
      0.417588100427182,
      0.575554780103731,
      0.178538319114718,
      0.0515549686386509,
      0.452478427328259,
      0.268744463200041,
      0.195742211785568,
      0.235291232026071,
      0.156024980046738,
      0.268150359136066,
      0.391499797016773,
      0.298535927567997,
      0.584820761167179,
      0.234594923750514,
      0.29743158692367,
      0.219869654643261,
      0.216902780201283,
      0.221212951322687,
      0.254569992567104,
      0.267194169299191,
      0.606327615685256,
      0.142731606676755,
      0.207467212743045,
      0.372247782773268,
      0.132972173696765,
      0.480033875629563,
      0.513537685790264,
      0.547359543694737,
      0.524516572316695,
      0.58807470145118,
      0.369229987308981,
      0.617015336909771,
      0.319163211103982,
      0.225339554937942,
      0.30578302371146,
      0.198361524015829,
      0.00762157751765808,
      0.212813954930066,
      0.335492825050228,
      0.565780032603381,
      0.0840413478929585,
      0.404136895891223,
      0.495047279314179,
      0.327632457723286,
      0.291074912923979,
      0.308550397732254,
      0.18570792932714,
      0.311747472151718,
      0.397195509714263,
      0.47545742399599,
      0.618560391737588,
      0.566242240945117,
      0.218416871509296,
      0.483954083613985,
      0.355308349287087,
      0.335337184579982,
      0.226257175352407,
      0.077945937249141,
      0.545871676913603,
      0.419800424602175,
      0.506468921875779,
      0.507608364280087,
      0.14712958147862,
      0.102196023146153,
      0.539557169673229,
      0.463646047484522,
      0.292592602947876,
      0.34938938450612,
      0.313943102471734,
      0.619132670327377,
      0.427305876378901,
      0.283133353635066,
      0.494309905346661,
      0.35474285909412,
      0.317293681398138,
      0.421849384601578,
      0.408963040553333,
      0.262948811791441,
      0.313149249391425,
      0.121397092029115,
      0.476206501431878,
      0.252114650367501,
      0.487774852905609,
      0.407775517967106,
      0.333068099419722,
      0.177606785112317,
      0.332572227588387,
      0.454401310967047,
      0.563937450065054,
      0.438215944949863,
      0.337325683680036,
      0.481968579218576,
      0.353637791995503,
      0.535425454959647,
      0.525316753833658,
      0.38582074640564,
      0.494215421130971,
      0.384448169003073,
      0.303099654392171,
      0.60591318074959,
      0.599963473902903,
      0.242738207970059,
      0.565213971732965,
      0.271863287333635,
      0.558919452725177,
      0.470148956150942,
      0.444440770293604,
      0.578829237623071,
      0.489418247984961,
      0.544445497488002,
      0.453186148599826,
      0.146620906366703,
      0.206798225447617,
      0.46476605432469,
      0.363335387363528,
      0.555156073644121,
      0.230590781718549,
      0.352275158632163,
      0.571304302401911,
      0.0567319987303387,
      0.0822717411508053,
      0.333132199961224,
      0.0927882470235149,
      0.0196388994516624,
      0.0877688925789951,
      0.295635147507329,
      0.549481920948263,
      0.343358837460601,
      0.154003717393926,
      0.529894918807747,
      0.437746395707173,
      0.277482250862059,
      0.221265677615739,
      0.437322586696633,
      0.557791308151218,
      0.126031912570401,
      0.188980730033024,
      0.579880211630031,
      0.352160612181797,
      0.0514715285241852,
      0.370492732522094,
      0.194827970108535,
      0.188839426524885,
      0.48451215095336,
      0.32882073850086,
      0.389650384335312,
      0.298369209585179,
      0.521262008694538,
      0.535041566591262,
      0.318385288798163,
      0.180056710607438,
      0.271387301067138,
      0.57353819075724,
      0.319796550961458,
      0.176715087025495,
      0.297671973966512,
      0.593131483087357,
      0.602002001525734,
      0.132430948090071,
      0.374898986256378,
      0.237038384181747,
      0.17009075192298,
      0.158956378760872,
      0.11265709523623,
      0.452684633851575,
      0.424501413378586,
      0.468422538688706,
      0.497923269056597,
      0.199240701421432,
      0.389692559067848,
      0.320804448034766,
      0.140041390477488,
      0.364490558998366,
      0.437941709788191,
      0.47959578125816,
      0.554307257482111,
      0.288500709282935,
      0.227330186341204,
      0.509596427529636,
      0.0427090773079004,
      0.236675798699936,
      0.22948560635716,
      0.197024752122253,
      0.155503509624322,
      0.313712916555923,
      0.366326261555646,
      0.606141204039822,
      0.0899626744144362,
      0.131534037167185,
      0.304347680906049,
      0.201158804561358,
      0.173850871734692,
      0.276886904427863,
      0.20294085866831,
      0.473957165240014,
      0.107157301740478,
      0.192658423142504,
      0.511802038440469,
      0.147517040479846,
      0.475494859452783,
      0.55507473344633,
      0.4777830172324,
      0.560983538853657,
      0.593876798796458,
      0.36945597076088,
      0.573597222732909,
      0.373738566884813,
      0.241938431689444,
      0.31141970089913,
      0.171238277325073,
      0.0430414108401829,
      0.239865877641397,
      0.360562861600658,
      0.387128538320098,
      0.0382735371243432,
      0.511879400261403,
      0.598793068276032,
      0.390759007126945,
      0.266756600390944,
      0.303378115096282,
      0.173984595820414,
      0.241207410230752,
      0.546734992276803,
      0.473865288743449,
      0.604613959940443,
      0.551464593843877,
      0.207718667980069,
      0.607992456170912,
      0.205826841241394,
      0.229709955708034,
      0.0737729760299165,
      0,
      0.444633229878652,
      0.35472100926058,
      0.379229013052782,
      0.535821662401819,
      0.163918498601694,
      0.13806672885839,
      0.508795170728721,
      0.438273835265046,
      0.381605580233589,
      0.368170887933056,
      0.42438161512141,
      0.567485986114175,
      0.445469549622593,
      0.521704530506558,
      0.500433451407344,
      0.479490771262975,
      0.513384675095096,
      0.378064280972147,
      0.513107988165065,
      0.304400402159844,
      0.522437043439827,
      0.593731202296342,
      0.557109785288201,
      0.230963150759992,
      0.513731976140855,
      0.479879931091409,
      0.366238718805887,
      0.391339769401538,
      0.520855250643834,
      0.5307433358763,
      0.513580438940613,
      0.436977698815371,
      0.370533511810851,
      0.515968141754511,
      0.387832523455821,
      0.527401253972816,
      0.53281081507526,
      0.388739008031719,
      0.512142763002056,
      0.389290582630627,
      0.320939449912435,
      0.588853755231307,
      0.56520071450446,
      0.206336617791008,
      0.5986021887129,
      0.253920237932063,
      0.373762534123586,
      0.436289264870953,
      0.37790792357375,
      0.458428346907251,
      0.424634765507874,
      0.542171233680564,
      0.578710610805062,
      0.163475332499777,
      0.139743174031659,
      0.458679749116416,
      0.363330564719613,
      0.318147329881816,
      0.283956397628864,
      0.0250500707720917,
      0.58244887744501,
      0.436448151093307,
      0.223473241465474,
      0.429020861196659,
      0.322546686819715,
      0.293895899864197,
      0.254101319057196,
      0.322875134768934,
      0.377308917207904,
      0.10213100017833,
      0.310685978208603,
      0.584531167778239,
      0.0718111300242354,
      0.118035946519432,
      0.253894247968663,
      0,
      0.211592282750333,
      0.170783529722923,
      0.274176951299669,
      0.565110505078053,
      0.302169603831202,
      0.122205145237091,
      0.513849115944056,
      0.179232218519576,
      0.0796316615189734,
      0.111315365519301,
      0.229751586361458,
      0.38009549110623,
      0.296832647739963,
      0.42477879714152,
      0.577424444470088,
      0.196760357325624,
      0.168802564016474,
      0.31817702750462,
      0.174717839934149,
      0.0945171009994253,
      0.0356061172978042,
      0,
      0.475773507891927,
      0.399111511263039,
      0.18482157405823,
      0.565907746309879,
      0.417537020802514,
      0.14708195765952,
      0.463228779653807,
      0.161945654138956,
      0.0926736792639962,
      0.199773530104557,
      0.133337154156259,
      0.547647365212321,
      0.272830727956231,
      0.250794536875827,
      0.466656310472151,
      0.320898018475033,
      0.0329718449263606,
      0.258176722894073,
      0.304118625754362,
      0.380801947125414,
      0.31754207102846,
      0,
      0.377458080513607,
      0.406838160945968,
      0.566949463312901,
      0.480762512107584,
      0.363744063607578,
      0.400159278637744,
      0.391232703461805,
      0.201585522668767,
      0.262001238102233,
      0.165329248663165,
      0.0959767049038891,
      0.092279659861291,
      0.0811128265162788,
      0.133040622354867,
      0.173950134513798,
      0.357231566637656,
      0.13883807806135,
      0.20813135012888,
      0.172274396868589,
      0.4044938186276,
      0.135850752008961,
      0.237832176644591,
      0.36402371423597,
      0.267038816876626,
      0.358142627950623,
      0.465387643351281,
      0.23486672770808,
      0.295760609038016,
      0.386308959682936,
      0.0404206581069166,
      0.00967095967630697,
      0.0690801074135837,
      0.450517585484895,
      0.0819696893261698,
      0.431764620033901,
      0.160426687412035,
      0.120833067182488,
      0,
      0.202536507767807,
      0.346692279115405,
      0.259905007956606,
      0.31309475129728,
      0.201961293365287,
      0.162427296873591,
      0.197746363802712,
      0.196610936900343,
      0.254310254712373,
      0.374173188729658,
      0.14040190081043,
      0.344955888901177,
      0.207716019622023,
      0.566090534815116,
      0.231643977827004,
      0.253423605651102,
      0.385518454450271,
      0.2821338606113,
      0.247213967817381,
      0.366250895973845,
      0.268119452599061,
      0.182324349929538,
      0.235164742909453,
      0.361039580457656,
      0.618172010892045,
      0.345704578978817,
      0.151228518395265,
      0.421436168919399,
      0.350041642524253,
      0.418712841964029,
      0.441563059655855,
      0.268143393139168,
      0.505451979522803,
      0.496711775421536,
      0.382092381110053,
      0.526724465919089,
      0.556973991187267,
      0.351352713583026,
      0.630199180144079,
      0.328230479129281,
      0.351234205813738,
      0.450554408129137,
      0.522406469198698,
      0.65761755354384,
      0.350150671643171,
      0.286589608900809,
      0.343405194802651,
      0.154272983638668,
      0.237252555736534,
      0.471071104393309,
      0.34224129878158,
      0.503785713148031,
      0.536898724563995,
      0.133646247491658,
      0.498925614708221,
      0.0982408348828807,
      0.352997117303521,
      0.197241546705747,
      0.164190112180352,
      0.026102891180414,
      0,
      0.354797245139056,
      0.625531291235087,
      0.0627921212651998,
      0.193358816177212,
      0.415750715472325,
      0.4634194231145,
      0.534633476033015,
      0.22721061274272,
      0.329872556018359,
      0.19698253776477,
      0.177435830601313,
      0.228123429836388,
      0.614263058808417,
      0.284191089740887,
      0.132354191167104,
      0.286410102024362,
      0.148147955838632,
      0.170979615504993,
      0.397268575826249,
      0.115435036757638,
      0.578183210474543,
      0.00891852924744651,
      0.272852008501726,
      0.458939615330029,
      0.0954347354238627,
      0.291191323974689,
      0.311858860115365,
      0.24190122832498,
      0.223129418578739,
      0.428044171289944,
      0.231149343638723,
      0.654066261635187,
      0.459772044545571,
      0.15353532963536,
      0.295450073819412,
      0.0703223095878185,
      0.153385037422691,
      0.177297164363124,
      0.455254635722617,
      0.42888179246541,
      0.331611691645946,
      0.0596134491286596,
      0.435545947065761,
      0.451661511961761,
      0.314254884320411,
      0.253455245666106,
      0.246135570116937,
      0.11197875692382,
      0.629057029930251,
      0.448725693411643,
      0.635166977598944,
      0.144130970622615,
      0.0654805074848961,
      0.53917972008171,
      0.317989357175672,
      0.148512730362352,
      0.0636762958404793,
      0.0111068529657096,
      0.168050874162559,
      0.408342335192191,
      0.271096340649629,
      0.608576716029559,
      0.163473968763685,
      0.26717184847101,
      0.208913831502093,
      0.244204455675094,
      0.156972186447504,
      0.170854207574444,
      0.334769720006668,
      0.617850710471832,
      0.201920740465078,
      0.247187518109024,
      0.347936853710257,
      0.214005015805099,
      0.535721112159908,
      0.565721094287147,
      0.467864339168677,
      0.592494693014192,
      0.656208546737402,
      0.421034744881274,
      0.576923177128676,
      0.352430268131477,
      0.16176613432906,
      0.291520103154418,
      0.201906912476851,
      0.0662936713652448,
      0.208573485819377,
      0.368286924182924,
      0.579355219024544,
      0.105311396249722,
      0.320095743971918,
      0.473227367488846,
      0.277404990689355,
      0.242588752864022,
      0.315251035945076,
      0.202161037528461,
      0.2235817218674,
      0.515070491523152,
      0.316282739066702,
      0.6458862366464,
      0.541234159868902,
      0.260569469130765,
      0.627181555651908,
      0.39844750949643,
      0.307297194774748,
      0.261316220596482,
      0.0116935924683936,
      0.501074191573069,
      0.377231540399001,
      0.415468581707129,
      0.490948245168699,
      0.156937910573184,
      0.00353064303423241,
      0.34011268309631,
      0.305647101996434,
      0.257531479772634,
      0.385317427160444,
      0.422787252266601,
      0.666740784567166,
      0.414443590739908,
      0.24244607686649,
      0.329353193252464,
      0.354325356077747,
      0.141047826158493,
      0.337303615722916,
      0.248923903786604,
      0.24976200692235,
      0.283283592342411,
      0.124637582304399,
      0.47340350868366,
      0.27136547264915,
      0.258377861065176,
      0.325318046069229,
      0.256603607134906,
      0.136028062767175,
      0.287470447334713,
      0.465803157895311,
      0.617220614534196,
      0.267255017944403,
      0.133716033637921,
      0.460558689948609,
      0.351117487684804,
      0.398651442373528,
      0.323838884162309,
      0.278720712020401,
      0.381305966487328,
      0.428352341373851,
      0.419267411258843,
      0.636392517564928,
      0.547480875378674,
      0.362643740495415,
      0.666249056273996,
      0.292571404497246,
      0.408435577595839,
      0.391818574918737,
      0.506173343230443,
      0.604956432749188,
      0.386446156840775,
      0.345845587976102,
      0.43358250649796,
      0.123884990886701,
      0.258277511683507,
      0.459539250318173,
      0.348875248878241,
      0.506119454295666,
      0.37128454612347,
      0.252838726021593,
      0.616821275590093,
      0.142593429182254,
      0.130077222929945,
      0.284277855119223,
      0.136535571630315,
      0,
      0.0841925096662116,
      0.379560528621914,
      0.458532499611743,
      0.330511848349074,
      0.11381678151096,
      0.542519693537443,
      0.442465818499574,
      0.224804654499054,
      0.23030735605951,
      0.420284609757426,
      0.490553255562294,
      0.203786400029559,
      0.266468561024097,
      0.638662862907212,
      0.242555068329006,
      0.125425809904159,
      0.359031170559093,
      0.254444451898136,
      0.169677050225895,
      0.333700560693406,
      0.273015796212519,
      0.369025506970689,
      0.320687739725006,
      0.53052240050356,
      0.5876578970173,
      0.269293725909208,
      0.201418896261008,
      0.345642953042737,
      0.389406090460555,
      0.259372227373103,
      0.119497838251887,
      0.222155600265551,
      0.641932420911431,
      0.494376943336371,
      0.171332507233626,
      0.343635865219518,
      0.0794462665404312,
      0.00473026247244656,
      0.182839252981604,
      0.143900758066078,
      0.413411042758049,
      0.312005998584438,
      0.253133769924155,
      0.564146664590537,
      0.26159790988434,
      0.264963196361912,
      0.21608056685312,
      0.0888092185869914,
      0.153572994100813,
      0.380744636213158,
      0.411311546139887,
      0.566214455283615,
      0.318368355166874,
      0.237834587635565,
      0.555726764085376,
      0.14939596308767,
      0.114722374965971,
      0.10082460110678,
      0.0426532666889761,
      0.115709379952651,
      0.230842912486563,
      0.337858870408383,
      0.644671845315677,
      0.130924511262281,
      0.202207741934764,
      0.279903428331711,
      0.127587369681638,
      0.151293451791883,
      0.200613250009773,
      0.287585152218938,
      0.44662382822302,
      0.160859405269158,
      0.290622286975756,
      0.52309571779253,
      0.361214810936737,
      0.536020997363257,
      0.451839056467077,
      0.461956746654451,
      0.651193164243982,
      0.616022119755386,
      0.419423893593465,
      0.634233727287696,
      0.358757979174752,
      0.237202578854918,
      0.290299679274384,
      0.23450009417089,
      0,
      0.239498286990933,
      0.401352695682794,
      0.263993163705451,
      0.104611610268141,
      0.427734014570602,
      0.580895313905519,
      0.187587600186719,
      0.26671137065359,
      0.320232208920827,
      0.193390353197173,
      0.161229578744977,
      0.588003338706591,
      0.345971074961332,
      0.616129120535795,
      0.568956198724466,
      0.265798829319558,
      0.616229758529072,
      0.214991765692902,
      0.179544006199801,
      0.0744952288247764,
      0.0294673159844286,
      0.455786010108385,
      0.314431935250869,
      0.345185814321429,
      0.643172887306994,
      0.202411457870043,
      0.0809973062248908,
      0.345050166116491,
      0.274191483747729,
      0.131610807735807,
      0.476948787659369,
      0.372082617274976,
      0.583856861041121,
      0.404498058459764,
      0.427199223923026,
      0.482292759446304,
      0.395524672864991,
      0.400347653339788,
      0.424438510432438,
      0.340731350397925,
      0.326362997200108,
      0.539041055750919,
      0.648542901551698,
      0.609407935540208,
      0.238701229230864,
      0.435159247288741,
      0.381143020463351,
      0.280076307155048,
      0.496160762544976,
      0.344814279164845,
      0.408356859537513,
      0.423756177735632,
      0.341914107728874,
      0.0976978960665318,
      0.481453695378971,
      0.289186953916755,
      0.409227417674042,
      0.336184910350903,
      0.356828975192296,
      0.369196452008682,
      0.312126444311819,
      0.441859188579448,
      0.650995556528512,
      0.561511787409067,
      0.305271982646197,
      0.639597820319986,
      0.322549673737535,
      0.392145743427698,
      0.397301606906319,
      0.51215206417722,
      0.567901758429186,
      0.294648561772132,
      0.415437480657857,
      0.587618618907219,
      0.0855175720610779,
      0.124231356258353,
      0.474968919394676,
      0.369746352286284,
      0.267863714964474,
      0.211263843065762,
      0.0707031729767817,
      0.613482034942332,
      0.407806310436299,
      0.275342101640396,
      0.365775052549329,
      0.263210384350428,
      0.209258459997977,
      0.268661886989394,
      0.373988383863509,
      0.218987051936508,
      0.214985207149678,
      0.158849523125072,
      0.594130134052524,
      0.153610242239787,
      0.194362244712202,
      0.215882157524878,
      0.0746932151410106,
      0.0414688078425329,
      0.210621231397281,
      0.283991781988823,
      0.577379182414964,
      0.220837333180148,
      0.123639975804761,
      0.468651131574394,
      0.220795095087711,
      0.0731497818347445,
      0.108587188570678,
      0.25480320507016,
      0.40119638181638,
      0.238894968561348,
      0.408148955822877,
      0.66817614204176,
      0.234961675352222,
      0.221597512727743,
      0.344432482422346,
      0.218360438238685,
      0.168610865405573,
      0.107077930337303,
      0.106935766307873,
      0.450454207820439,
      0.406048391212768,
      0.174218734507249,
      0.484887231838719,
      0.243682971518019,
      0.305380439750337,
      0.346274893704043,
      0.167669457103432,
      0.151670291153543,
      0.258228678665721,
      0.130685393620647,
      0.634507141458261,
      0.238303517222237,
      0.241435120401989,
      0.489455831680331,
      0.279672364460957,
      0.0219697211448273,
      0.288614160238683,
      0.384138457017579,
      0.233666536008404,
      0.2282187597179,
      0,
      0.454653953960725,
      0.349697050814841,
      0.536122377695881,
      0.456356262367827,
      0.271810383801035,
      0.397638395970658,
      0.360881532946542,
      0.13572391591965,
      0.177487421179684,
      0.132516314174726,
      0.12825552149085,
      0.233563337772667,
      0.106881390549146,
      0.0495596155689738,
      0.321048672861085,
      0.122811230837831,
      0.0796150241583379,
      0.362439332342173,
      0.0994989027979176,
      0.587696536143266,
      0.202125753038815,
      0.121194277334435,
      0.499280622802333,
      0.280897349532056,
      0.297101498168999,
      0.392217093465025,
      0.316481040463791,
      0.376817557331866,
      0.365243035389612,
      0.0983098553026366,
      0.0000572269058682191,
      0.115156395902022,
      0.319709546464399,
      0.115848925712121,
      0.372170088790026,
      0.132226524891351,
      0.300408743943431,
      0.0309137478211764,
      0.193275808856176,
      0.335706890597568,
      0.190470702900903,
      0.455570574763045,
      0.31445431297708,
      0.146146636277304,
      0.409950927090106,
      0.115707338285255,
      0.323915557159229,
      0.193095909273669,
      0.0877371645869535,
      0.404186377085614,
      0.392023546884582,
      0.550658725875487,
      0.348716515182513,
      0.397102785261844,
      0.408005925069723,
      0.385592106731739,
      0.204458809394673,
      0.375627920534931,
      0.199865672260337,
      0.163878475884783,
      0.44136408925082,
      0.237824254160493,
      0.608399932707696,
      0.257352421983643,
      0.17789127647895,
      0.292963543625684,
      0.283280390513878,
      0.309155461655354,
      0.484572268345507,
      0.299664354545165,
      0.468563070535195,
      0.532660941452141,
      0.558870892346242,
      0.532657996959746,
      0.364499297517691,
      0.472177581859249,
      0.621135297057402,
      0.399396982615766,
      0.307788340350045,
      0.486432922374606,
      0.36931270928295,
      0.606827146537759,
      0.440069238121992,
      0.262953265936706,
      0.289679071330454,
      0.116834467459638,
      0.161713953523802,
      0.470833233287397,
      0.249435041692053,
      0.240708730830649,
      0.490545772917133,
      0.0790275737061115,
      0.489347016681364,
      0,
      0.297126048267798,
      0.199798403814418,
      0.162746811459922,
      0.0405246253244092,
      0.10828290587995,
      0.196805602629654,
      0.624456627510551,
      0.125902649168554,
      0.29650672727945,
      0.319331623987281,
      0.489744282742436,
      0.438439063166471,
      0.29258269306791,
      0.338230961330578,
      0.122132532676688,
      0.0335201357388233,
      0.033264724829224,
      0.620015729068475,
      0.194222338241399,
      0.117739591339508,
      0.279128049594155,
      0.264990045331626,
      0.129850884914998,
      0.445547135080377,
      0.0800878753552067,
      0.571102945522939,
      0.160036139179448,
      0.122788737975565,
      0.481859444357416,
      0.138381659352321,
      0.288702735440506,
      0.137751124950643,
      0.182396623106917,
      0.266215359396387,
      0.435191018793981,
      0.21317319821756,
      0.649430744117018,
      0.42600205921048,
      0.105422061798967,
      0.292952864846745,
      0.0637550166927886,
      0.193796641939547,
      0.0381414079344217,
      0.342627313878183,
      0.451239494660039,
      0.213615820786936,
      0.141438219109867,
      0.407060248723915,
      0.467612334456736,
      0.211112892859,
      0.234753937616635,
      0.280287811408085,
      0.0591848000205913,
      0.4173054348996,
      0.463378369994133,
      0.61555810185716,
      0.0950319216072299,
      0.0568322540695569,
      0.518491492869748,
      0.205503766494993,
      0.149647555725922,
      0,
      0.0743848476682987,
      0.178753187925989,
      0.370417976000656,
      0.289808291378792,
      0.597889959554576,
      0.195704424293303,
      0.229404115023762,
      0.325539376312669,
      0.275807070722796,
      0,
      0.120377942027917,
      0.159221568869908,
      0.589055870412307,
      0.16537232176396,
      0.0809145541194464,
      0.379226512279582,
      0.272883173470573,
      0.525479566393303,
      0.579031910067775,
      0.379722498456233,
      0.554301191143546,
      0.484401790956475,
      0.282378950437867,
      0.587938279162285,
      0.351980173830388,
      0.221841887275345,
      0.204208395140277,
      0.128618421675337,
      0.072169591491334,
      0.285220510372452,
      0.262695577088619,
      0.568542069267226,
      0.179383641100263,
      0.207613950802204,
      0.393738278129028,
      0.332206626505453,
      0.184233866599231,
      0.467002240973604,
      0.216408095208934,
      0.0992583654627299,
      0.59866344270251,
      0.260471800525276,
      0.629347422994467,
      0.508158613963001,
      0.337778397674136,
      0.638833337700566,
      0.297060669510917,
      0.306580529796278,
      0.264660947511456,
      0.0699793415906419,
      0.470926518835431,
      0.326024417413519,
      0.36400982087567,
      0.512096942067246,
      0.382527447927828,
      0.0664717394206099,
      0.253196661945336,
      0.265986141156606,
      0.250054088209716,
      0.465573953760518,
      0.39277341506253,
      0.674457571034518,
      0.433260807232519,
      0.177863953189508,
      0.286762531758438,
      0.268368726503336,
      0.11422828735559,
      0.394647499456551,
      0.321830841210701,
      0.432344470736838,
      0.36738692769056,
      0.359778151476877,
      0.45607826099329,
      0.265614951547247,
      0.253411664435714,
      0.335384108738632,
      0.218255833843739,
      0.193048871234624,
      0.465284357164965,
      0.30534741452887,
      0.598456382737747,
      0.252228723163455,
      0.122566689978204,
      0.354532418075716,
      0.38759754367392,
      0.278132819224981,
      0.352119292605984,
      0.355393470003249,
      0.297633711211764,
      0.534447408409733,
      0.508095798672144,
      0.639788503284877,
      0.351056198281016,
      0.44075299045383,
      0.655638221307924,
      0.33831199235918,
      0.371964629796107,
      0.521805436691728,
      0.46783537957609,
      0.555790076249947,
      0.406060546691446,
      0.244454448709818,
      0.315207313879157,
      0.144542932947654,
      0.148296854831162,
      0.468117636783665,
      0.176850330770191,
      0.455804051393079,
      0.458393781054066,
      0.229825904545537,
      0.614273684240738,
      0,
      0.115179527379677,
      0.221733487117241,
      0.0675611993244156,
      0,
      0.154620478174448,
      0.211601317532667,
      0.462185976999155,
      0.339642590221993,
      0.15733868342818,
      0.470105421762097,
      0.488386243295443,
      0.133421909282548,
      0.349896255695206,
      0.487952425876908,
      0.323307568326524,
      0.0128636102861971,
      0.0649296300266608,
      0.606633294709531,
      0.181957994273571,
      0.118363946360367,
      0.296419906890204,
      0.27305085782336,
      0.180513841720915,
      0.353950685796133,
      0.204307727588674,
      0.232127141553439,
      0.40621722429604,
      0.471363581517807,
      0.605710042590842,
      0.311387752172263,
      0.232448537455598,
      0.222419177049263,
      0.282334981794437,
      0.265042672878606,
      0.200973004514455,
      0.269738952448259,
      0.641171719905046,
      0.409588745298965,
      0.100943158532837,
      0.290536133837382,
      0.0018580340855875,
      0.271308338292951,
      0.140441190261844,
      0.184730710577643,
      0.288043944978672,
      0.340908202070398,
      0.254762229698589,
      0.58284080124163,
      0.397497955414484,
      0.184756325474289,
      0.234568369255411,
      0.176177859296116,
      0.182547525030062,
      0.347808243445774,
      0.359187439547207,
      0.555900064019343,
      0.425949015867564,
      0.438825823776904,
      0.544454591818397,
      0.263557371912988,
      0.151351925331376,
      0.0589896326049905,
      0.12543884209513,
      0.0809634202416401,
      0.201335901991305,
      0.316419013531122,
      0.643013364253313,
      0.230333092001147,
      0.251888585300487,
      0.296546051381424,
      0.188956440649163,
      0,
      0.0295551901737845,
      0.194682721981728,
      0.465703687680352,
      0.0584370156735472,
      0.128758332608606,
      0.496928114595822,
      0.39149364600933,
      0.457678573858076,
      0.470064726502011,
      0.440579400990339,
      0.551481754427827,
      0.562526552219521,
      0.297018286261234,
      0.599438358900428,
      0.364578820842411,
      0.276984021097321,
      0.250329656778037,
      0.171496081316386,
      0,
      0.28906278983701,
      0.301678343167616,
      0.220349042874807,
      0.10358909856866,
      0.333859848693066,
      0.532538675807412,
      0.302323083836013,
      0.165357348055625,
      0.413524245022777,
      0.243669625834919,
      0.0808635458003012,
      0.498606394790838,
      0.235141875209597,
      0.59028297942262,
      0.535353990724924,
      0.330069237561993,
      0.579126455848959,
      0.204665936822094,
      0.199662917856841,
      0.121819390200256,
      0.0378186841875685,
      0.313612832033539,
      0.34764485887786,
      0.251718399495489,
      0.650638398289192,
      0.388638734433108,
      0.0869217136109481,
      0.227816520633939,
      0.404839603350774,
      0.101446381755846,
      0.531188364144475,
      0.284359659845435,
      0.574083647322916,
      0.428973659307811,
      0.337803543015089,
      0.439596152885135,
      0.288063502790771,
      0.276238540154119,
      0.583029200271966,
      0.346296727985334,
      0.482001072646815,
      0.387363660157083,
      0.488597999398825,
      0.62493898371936,
      0.317891823093583,
      0.360988403200788,
      0.361965175345231,
      0.367550441146921,
      0.343584075023252,
      0.489210214020779,
      0.317186131813779,
      0.44375954214085,
      0.323582956208328,
      0.119061806736612,
      0.484068356755405,
      0.331646587470954,
      0.286510410251807,
      0.350094356506585,
      0.433191611516486,
      0.316547259090874,
      0.472493132924007,
      0.489999650177912,
      0.6579663392087,
      0.385396057355746,
      0.431908985515774,
      0.468533670362392,
      0.293312583355313,
      0.385251488160059,
      0.452443253726518,
      0.518171065758259,
      0.383296971172213,
      0.191365119757063,
      0.292071249328918,
      0.581271568100328,
      0,
      0.0867511009756018,
      0.47125168332975,
      0.222280850523199,
      0.336609525887433,
      0.240289303477239,
      0.0774745822560172,
      0.588815259600672,
      0.469391924089053,
      0.34058962511595,
      0.344102095961009,
      0.223393067988675,
      0.209850207915109,
      0.357027533772623,
      0.425267561593375,
      0.175281569897425,
      0.279468138188455,
      0.0394108336227908,
      0.59177733896629,
      0.0911891346692471,
      0.174677590499136,
      0.281884038674322,
      0.0527770867118709,
      0.00291167051156221,
      0.277870196746558,
      0.269522905784739,
      0.565023190895583,
      0.122200946900371,
      0.165249412764699,
      0.399447728941758,
      0.223334793627911,
      0.125059534648345,
      0.146083468602547,
      0.218003748921963,
      0.310965747043488,
      0.0976669919556622,
      0.323640691631105,
      0.647372809728042,
      0.408305594901758,
      0.375416758738021,
      0.242035986614326,
      0.197787908132552,
      0.28448659358963,
      0.0131214042989625,
      0.107764344050255,
      0.465044957502934,
      0.515689920578325,
      0.1360258628247,
      0.424342168559734,
      0.230241653316455,
      0.320974366578077,
      0.278115425927987,
      0.235526616589604,
      0.304982934081658,
      0.279763200766251,
      0.315587145621005,
      0.637962379668699,
      0.21062326807033,
      0.211753365357355,
      0.31551134797601,
      0.321261126248349,
      0.0624944202483576,
      0.458527895040419,
      0.224790246691732,
      0.177607270055525,
      0.0954212580524314,
      0,
      0.604900021917695,
      0.343027623272117,
      0.356990752945892,
      0.470865599320402,
      0.200416154208555,
      0.45596224937907,
      0.303301939412576,
      0.203362313807047,
      0.188001403885317,
      0.102745590081152,
      0.127135575503417,
      0.32338796010092,
      0.132748326603039,
      0.056065621083274,
      0.364094481284391,
      0.0382707297166055,
      0.0512400541195748,
      0.502345891847549,
      0.123277443834451,
      0.63480462859865,
      0.227357696474964,
      0.196333051322104,
      0.662290075760766,
      0.288256084690531,
      0.364648951086502,
      0.30946144425831,
      0.409536810761602,
      0.361770684933328,
      0.373017612480614,
      0.302024560403441,
      0.27304673009848,
      0.173157537196579,
      0.314943474839117,
      0.0896561785059607,
      0.388319956488731,
      0.107001762929831,
      0.409100098508459,
      0.135416801929354,
      0.165609936007118,
      0.315038082352758,
      0.126381027696372,
      0.478009451453929,
      0.357195824536909,
      0.19136694758683,
      0.472422503906747,
      0.230223259439284,
      0.23292218815692,
      0.460342152088634,
      0.0605305143772268,
      0.553708700332242,
      0.457988373973565,
      0.541809940041857,
      0.419577000847686,
      0.406125040854461,
      0.424392869513579,
      0.537421416236358,
      0.233128578871782,
      0.333249655086692,
      0.14017589866349,
      0.0798040841502817,
      0.508671192488614,
      0.293247259096581,
      0.657204673933904,
      0.333866852831039,
      0.180923578986215,
      0.229010793589226,
      0.372078115593767,
      0.311381656475681,
      0.510043610622238,
      0.456239471605253,
      0.486937829519117,
      0.599283019688018,
      0.58628662197361,
      0.605333912371076,
      0.367432291771145,
      0.497537821531808,
      0.667854306407258,
      0.505743754230019,
      0.234416084138636,
      0.441346650813486,
      0.387331947005467,
      0.646620263535487,
      0.646312655650991,
      0.152674084223277,
      0.287685436803391,
      0.194205322434004,
      0.347922992009603,
      0.525688217420226,
      0.2355686196367,
      0.238847884794146,
      0.4428319376261,
      0.422910751867523,
      0.508363062809161,
      0.20549209913776,
      0.286768467931971,
      0.172594402752221,
      0.171257055384403,
      0.0848640450907448,
      0.209142506668149,
      0.199013424247591,
      0.642712799305031,
      0.471238968327633,
      0.549224957791862,
      0.382880483923197,
      0.492141358976443,
      0.30247292677591,
      0.402861607520621,
      0.282450598833729,
      0.182902593104157,
      0.240963965586498,
      0.375305549887216,
      0.616160733438884,
      0.11018582037941,
      0.3902255507419,
      0.402772484322767,
      0.300771802559652,
      0.164120100399489,
      0.480529379144024,
      0.115714593234867,
      0.57972279313467,
      0.31073504204612,
      0.107566353213621,
      0.643007113266219,
      0.385380896710405,
      0.346441328267983,
      0.147617388983154,
      0.208029424375427,
      0.322215807885944,
      0.51752454343099,
      0.380778730080373,
      0.712434805288167,
      0.44138366635171,
      0.247392768113595,
      0.224378124295864,
      0.0757531744690143,
      0.301100713159696,
      0.31403835714702,
      0.396762282372422,
      0.478326409213029,
      0.128636168673108,
      0.153830034265127,
      0.376472501927392,
      0.663244611851372,
      0.231897992558758,
      0.414096710198448,
      0.321641907970311,
      0.199283742449288,
      0.289186518621181,
      0.503563827026664,
      0.615869657341867,
      0.383480237511451,
      0.297446784114653,
      0.360841434653482,
      0.226726196910912,
      0.271504066509499,
      0.175461235561767,
      0.0761335650302855,
      0.197585552163995,
      0.279204210034926,
      0.493111975103932,
      0.654507475212891,
      0.440074140362393,
      0.352144042160405,
      0.494176701047878,
      0.262696755303301,
      0,
      0.154518270180603,
      0.0357537756364615,
      0.609855659349181,
      0.275228998551826,
      0.193645174648242,
      0.500770812490038,
      0.345567973730179,
      0.424881420679896,
      0.559352414055616,
      0.42692169449237,
      0.317969537263382,
      0.419931170238921,
      0.210314629407026,
      0.594523098449321,
      0.406073027410783,
      0.368173700810208,
      0.185625483237902,
      0.122789329755829,
      0,
      0.449308758383443,
      0.29297162988496,
      0.590447299734206,
      0.303053556254067,
      0.202534955575921,
      0.427760174679766,
      0.455013296976074,
      0.290650119506233,
      0.640457437131496,
      0.259772695300542,
      0.123904712608324,
      0.655216542902853,
      0.411546806815039,
      0.64916022898439,
      0.396977486213685,
      0.39377843171111,
      0.573853324423334,
      0.344659237227322,
      0.275470585199589,
      0.214915509203895,
      0.135310658678318,
      0.495588550903921,
      0.497248106289579,
      0.350782817812987,
      0.554310249827807,
      0.422854350288259,
      0.139506168877527,
      0.266396126408906,
      0.362056323280145,
      0.247556915768328,
      0.528588159151538,
      0.269182710295018,
      0.700051633574756,
      0.528027288385492,
      0.301467017873328,
      0.330347285584516,
      0.444082198675425,
      0.101286227741497,
      0.68758645772101,
      0.418253893578207,
      0.499729254205161,
      0.492151268202638,
      0.368638340493753,
      0.492836105361846,
      0.492268198601211,
      0.246848172699471,
      0.353681918920261,
      0.194915735223212,
      0.183623370840154,
      0.425195050317791,
      0.279011722415789,
      0.604285633181554,
      0.345417925465245,
      0.214551974214981,
      0.346230298201277,
      0.546072593913623,
      0.254940466019169,
      0.496020914512088,
      0.40287317593159,
      0.207086933645504,
      0.603209206737073,
      0.551248154893236,
      0.720775353385682,
      0.353177288826914,
      0.483004065507539,
      0.601545759906067,
      0.503156163269525,
      0.229189437954357,
      0.475987648197496,
      0.480065615486768,
      0.581558477811398,
      0.499816376086788,
      0.0430790494768731,
      0.390453120594448,
      0.223369006668723,
      0.361258750948589,
      0.524781158440852,
      0.178833603629124,
      0.43865904037594,
      0.461041130428725,
      0.293722924636749,
      0.650641550518673,
      0.208780338645433,
      0.142030784312361,
      0.25044149005902,
      0.0814409152048581,
      0.051722347006115,
      0.270741318177526,
      0.135574197640278,
      0.485454993164698,
      0.621363147003271,
      0.396640440348924,
      0.520803714341159,
      0.575816223835992,
      0.154922188429843,
      0.498957619886347,
      0.514472671555455,
      0.371750807051178,
      0.142641543544368,
      0.406284100342424,
      0.6413800576484,
      0.160507450305988,
      0.388034652187101,
      0.428583629238518,
      0.200223210977435,
      0.142903345139343,
      0.373938307046744,
      0.175948562125964,
      0.191590166075909,
      0.449736795105262,
      0.403731404911461,
      0.625608944755341,
      0.534364350584639,
      0.40582966518106,
      0.198385329070128,
      0.264272827240953,
      0.274475384704882,
      0.310718338329673,
      0.354131814518806,
      0.653602273260915,
      0.464457954842327,
      0.298840782780144,
      0.374661026279861,
      0.112648339485839,
      0.556946370505586,
      0.35584123716649,
      0.264658532715285,
      0.26020942642813,
      0.401817350658394,
      0.322082607232974,
      0.595462229083907,
      0.626873197284861,
      0.248327136832411,
      0.37575042647117,
      0.281569468746523,
      0.239325745836523,
      0.302099216047767,
      0.302505508185382,
      0.65847449116445,
      0.488575436908923,
      0.592412800956393,
      0.559606681685513,
      0.363485860178163,
      0.236272126442783,
      0.236006512540882,
      0.135050512822784,
      0.0948830375205726,
      0.270192682813993,
      0.439486814470135,
      0.698462651391577,
      0.42362600644052,
      0.381316862142711,
      0.322739839024167,
      0.335673279849948,
      0.0543741816322307,
      0,
      0.110585071885191,
      0.483736147023602,
      0.278552651393515,
      0.287236519247473,
      0.533718636889533,
      0.477152035120749,
      0.343340415141211,
      0.564681716466662,
      0.466358807347185,
      0.424069184780976,
      0.373805855715964,
      0.229086061850023,
      0.643754251039232,
      0.555260630927736,
      0.436387190144816,
      0.323262301500211,
      0.184825195586843,
      0.0264288103580304,
      0.412377292965722,
      0.284718077933153,
      0.252538054514077,
      0.239665919568991,
      0.233900797937819,
      0.603469851552062,
      0.402650605657035,
      0.291698489613282,
      0.633873687563637,
      0.21190226586726,
      0.0515561756903735,
      0.547384085397084,
      0.405398904400589,
      0.599670744155521,
      0.447521286251556,
      0.43079335364141,
      0.438846555208325,
      0.343224985819913,
      0.318708495805244,
      0.209184813375586,
      0.0966294514619474,
      0.213825806441388,
      0.565683343232998,
      0.225783762042856,
      0.661380407900233,
      0.441720072180515,
      0.11966355992826,
      0.224704742621686,
      0.487292691661342,
      0.177870378490484,
      0.619535198081774,
      0.305594434468632,
      0.59121857615194,
      0.564396142890593,
      0.30269852597817,
      0.501768972654693,
      0.502913700935389,
      0.195490135020636,
      0.670546311203442,
      0.354975277417944,
      0.53228464651202,
      0.523757350810274,
      0.374466491766654,
      0.687536624244789,
      0.542181030616546,
      0.263445334787428,
      0.320964410215821,
      0.522732078028685,
      0.28356279534311,
      0.451474291179437,
      0.292107233636997,
      0.466287733848338,
      0.382909951205783,
      0.211070449435354,
      0.535327257730929,
      0.463532202640583,
      0.27664161376714,
      0.545540876947416,
      0.444902063114229,
      0.191746043393382,
      0.614189146367689,
      0.519971564659217,
      0.691156373948428,
      0.358169677272575,
      0.472515424016409,
      0.46719459891212,
      0.424556554566559,
      0.351169991789445,
      0.391300016404946,
      0.558894590921633,
      0.284089628178414,
      0.271062796694685,
      0.161766769692309,
      0.638980627496028,
      0.117749354650343,
      0.118707786415177,
      0.436064624874372,
      0.329979741755921,
      0.36030253825975,
      0.297724857971511,
      0.0802397158066095,
      0.605998846432926,
      0.594496331460497,
      0.458146998008463,
      0.385254697658744,
      0.229742354537053,
      0.20955500296367,
      0.38753484707778,
      0.44856683320605,
      0.237818388882756,
      0.297760662482542,
      0.129213639152487,
      0.664085945308662,
      0.140105591406266,
      0.296792672404005,
      0.232249363875026,
      0.088067621686718,
      0,
      0.454025563334771,
      0.43239070585983,
      0.583976470028857,
      0.252023242194936,
      0.263821079975718,
      0.431440168327668,
      0.415095398005669,
      0.147992414586071,
      0.111745348558954,
      0.216322146341846,
      0.170285598927567,
      0.171403230200781,
      0.248274574196671,
      0.661916759874847,
      0.484661402213914,
      0.441334675880629,
      0.258407666773936,
      0.22581969372391,
      0.358940717111546,
      0.0451198666583807,
      0.136149693362386,
      0.491639369088448,
      0.540668501316626,
      0.345479779848035,
      0.456697606975032,
      0.152824938531741,
      0.205680560775517,
      0.382728343949839,
      0.290063967637543,
      0.359839737200165,
      0.3163956749997,
      0.287284060331253,
      0.668745401177635,
      0.294606797100011,
      0.307186823038141,
      0.349132029189336,
      0.202019405196468,
      0.0556016864997245,
      0.536008099272275,
      0.132370483200591,
      0.163033492744775,
      0.0540484923164022,
      0,
      0.60156885286831,
      0.314828018929801,
      0.363949490158697,
      0.41723598890938,
      0.0675362063747114,
      0.490891488915216,
      0.30840047841649,
      0.235675398790464,
      0.223111490232955,
      0.0865110463705659,
      0.0852678645362094,
      0.398784229422316,
      0.226027557938583,
      0.0668962943100417,
      0.402672603442261,
      0.121976677923767,
      0.081009590447869,
      0.642937010109517,
      0.155881867094211,
      0.631377785775437,
      0.279865439695411,
      0.189233184895919,
      0.66383041422951,
      0.250743540834562,
      0.358899073629587,
      0.248258269270665,
      0.471002763439775,
      0.332285739544531,
      0.40313854335211,
      0.293120015597736,
      0.300431973145146,
      0.2170305862126,
      0.342460266768337,
      0.104133939509482,
      0.378112704528001,
      0.188948044981921,
      0.474407008038353,
      0.138694359001271,
      0.14212376976884,
      0.360545238564523,
      0.162881180415528,
      0.458509059462343,
      0.369890375756025,
      0.236190458116586,
      0.498994459594975,
      0.243391309156195,
      0.308929554144475,
      0.522776101570206,
      0.0993816398836626,
      0.61393108930025,
      0.447200400930319,
      0.543666440041608,
      0.514112215491381,
      0.339055364069909,
      0.300941612261696,
      0.543554033458451,
      0.185842828478972,
      0.275874175312312,
      0.212053044151174,
      0.0588981206444468,
      0.470768296145617,
      0.31983907239762,
      0.608953427491521,
      0.299695908286362,
      0.192214070496189,
      0.306769162008471,
      0.391851394925474,
      0.272094425505062,
      0.592543678222818,
      0.545852698642948,
      0.433333796046559,
      0.581070416891809,
      0.548480918966529,
      0.569138885906708,
      0.487424300690437,
      0.498787381194027,
      0.58280500636187,
      0.477771383430159,
      0.313063247217272,
      0.449780340482157,
      0.398590932539806,
      0.649729906334477,
      0.607360926163663,
      0.159080967457595,
      0.263774277791471,
      0.149762847450691,
      0.292303287028284,
      0.446739870568853,
      0.253963383119612,
      0.251308464729664,
      0.419283936461666,
      0.400185078506548,
      0.489524331804209,
      0.174881769943547,
      0.334615401309265,
      0.202080252197509,
      0.135161323503826,
      0.0822197280612575,
      0.158743524171467,
      0.247935553877792,
      0.579585418745606,
      0.450363814103799,
      0.499463180862954,
      0.339002300954657,
      0.535167363396157,
      0.284922096671351,
      0.387970096008793,
      0.309150342066896,
      0.121416568185515,
      0.18185353565249,
      0.356215769083677,
      0.521240770065988,
      0.132709376042746,
      0.343180440784769,
      0.389852627770467,
      0.205784233044482,
      0.141827122550494,
      0.496977031213971,
      0.13412052162456,
      0.54157627066579,
      0.334958595459915,
      0.167898178909615,
      0.591395486801849,
      0.378516594112078,
      0.370584593439099,
      0.131989365782966,
      0.230816275393366,
      0.384848751280115,
      0.599792297903415,
      0.389061705550469,
      0.651723390579798,
      0.367844744601998,
      0.286995111816371,
      0.306937756407752,
      0.0546171675218506,
      0.252220437062688,
      0.285480272789004,
      0.394350689980874,
      0.425528006308731,
      0.094496980227491,
      0.142645018423413,
      0.384319368358529,
      0.608920336183524,
      0.276619514849916,
      0.386041406991231,
      0.28306980686408,
      0.213577904519439,
      0.286637722923014,
      0.488225089803535,
      0.617153993150989,
      0.514527637326771,
      0.258958976660355,
      0.339664533630278,
      0.243976373462452,
      0.289119858293094,
      0.135484318207454,
      0.15152789937204,
      0.196322358256752,
      0.243309339354727,
      0.463407288677945,
      0.569926904091825,
      0.40744961215075,
      0.329583486171324,
      0.505756914560407,
      0.338338809377833,
      0.0192318434736806,
      0.154303436198183,
      0.133838435851346,
      0.616919808764459,
      0.264381625106405,
      0.180969602816104,
      0.535001065454105,
      0.385477835654858,
      0.40656475109279,
      0.626767890967779,
      0.43970127806484,
      0.303755459515822,
      0.430921105826608,
      0.170464286486543,
      0.566215039850241,
      0.373579685253225,
      0.339010972675025,
      0.273420861217752,
      0.222337834266655,
      0.0290403650585439,
      0.426699772276807,
      0.259620416130178,
      0.546975670345019,
      0.356669786548002,
      0.211540011926701,
      0.442330080439469,
      0.563801752140716,
      0.277637732840204,
      0.706070570367477,
      0.268972356739018,
      0.122582727074751,
      0.603277233082361,
      0.411434603008317,
      0.586249486959814,
      0.294262616743807,
      0.475177625540437,
      0.450061349918448,
      0.311758396472587,
      0.274260963065186,
      0.222457563382432,
      0.224179678808695,
      0.44220619055422,
      0.43588451043802,
      0.337447712166938,
      0.480437992493312,
      0.461199178465056,
      0.156720480625175,
      0.18621564103835,
      0.434784565677831,
      0.236962366305688,
      0.546342802492314,
      0.339679131286692,
      0.624242942210875,
      0.481150784654843,
      0.274197104621944,
      0.319465091770222,
      0.469191179162548,
      0.227242854243751,
      0.649152635491641,
      0.407423542840947,
      0.393223019596849,
      0.55536122003192,
      0.322389672650442,
      0.46317672219856,
      0.570077905363464,
      0.22257819102582,
      0.29554288561909,
      0.211561478081363,
      0.142670721050136,
      0.387561422572929,
      0.363278701208773,
      0.606620064275287,
      0.26761518801295,
      0.240015601200284,
      0.36057107458845,
      0.561525994257656,
      0.21412105431284,
      0.521238741155926,
      0.517420090004023,
      0.238906390446167,
      0.616368244299255,
      0.493327669849727,
      0.658768245748438,
      0.511203231499361,
      0.471146022516096,
      0.451894492483651,
      0.522861114197863,
      0.248755020424665,
      0.323428972969528,
      0.435811111043696,
      0.545576020553605,
      0.490726502874043,
      0.113871603758352,
      0.365752709961226,
      0.131892196432806,
      0.308209177300927,
      0.43318346225636,
      0.167509095183437,
      0.425913771017214,
      0.387063025378725,
      0.281312259630231,
      0.625037188369149,
      0.176145728529395,
      0.171845669202407,
      0.271286211679516,
      0.132866149041738,
      0.0847249198483147,
      0.256703292770397,
      0.124643938805832,
      0.432752095527723,
      0.613572298200054,
      0.391247422558479,
      0.474465350366664,
      0.519522887212268,
      0.259227801183277,
      0.527920197519685,
      0.438879475543177,
      0.307175959027333,
      0.140150117671831,
      0.388422369957804,
      0.614148535967782,
      0.167299554858033,
      0.346832454237879,
      0.418032457613907,
      0.234441210905641,
      0.155436442484185,
      0.354123865941347,
      0.214407962985206,
      0.187078494026644,
      0.383733826035596,
      0.41974200398248,
      0.547337236339272,
      0.516087820618371,
      0.339257052366637,
      0.263613988465105,
      0.289850807628101,
      0.295337811625898,
      0.271291140395382,
      0.360603404818383,
      0.593020145578321,
      0.415044488642533,
      0.271778765218184,
      0.348840619541842,
      0.103971835654255,
      0.533464678650469,
      0.336394618465123,
      0.28437063785156,
      0.41852746187885,
      0.39480335922775,
      0.32029902542693,
      0.533744109095428,
      0.586618694854482,
      0.236217299500518,
      0.339857139899619,
      0.275259418113183,
      0.346787167505388,
      0.318810534063524,
      0.325776359825535,
      0.631990867497285,
      0.445958005902777,
      0.543820479941287,
      0.527471777802221,
      0.384999797089643,
      0.222629336181824,
      0.213123609449493,
      0.200100481736655,
      0.111681206687125,
      0.240976812835555,
      0.413190948049802,
      0.639775734921337,
      0.381680341252155,
      0.358993376123604,
      0.353858153177388,
      0.324340140516835,
      0.0427297436296146,
      0.0381434932487877,
      0.167887461768084,
      0.43400931920455,
      0.254807175438728,
      0.241323448019041,
      0.497284383545724,
      0.459799237824771,
      0.30754417230108,
      0.615745774048665,
      0.37790159136987,
      0.415167008823023,
      0.410281151423398,
      0.203086563482149,
      0.650571690899165,
      0.503942675782019,
      0.364485370959323,
      0.381575387382542,
      0.245686344264049,
      0.0563397202969791,
      0.399319469961842,
      0.295307159345677,
      0.249888657172583,
      0.40208868998157,
      0.266430488669624,
      0.534162969519779,
      0.42359327317108,
      0.292210732672841,
      0.712426738816447,
      0.300796258981609,
      0.179818291617015,
      0.472490122933811,
      0.396112912087595,
      0.596095004271352,
      0.344546264367575,
      0.417583983755091,
      0.425390764920589,
      0.278904691864254,
      0.283717942061404,
      0.289228683497435,
      0.208302442961544,
      0.245171630474501,
      0.528464542120011,
      0.291412236576349,
      0.599511306282735,
      0.427114983103101,
      0.12017199889904,
      0.230319961373824,
      0.647812635039326,
      0.195657537029589,
      0.682108889035664,
      0.355086845482032,
      0.545817971120804,
      0.542614307859519,
      0.303404974340252,
      0.485782139780641,
      0.586830170541776,
      0.289544240146473,
      0.609757670884667,
      0.34393549531751,
      0.459291909646811,
      0.540940389978272,
      0.3243802104603,
      0.630383948173313,
      0.559620947410698,
      0.225776044377337,
      0.338286207054668,
      0.513830858566971,
      0.240832010221759,
      0.36944591539298,
      0.42305198369946,
      0.425487874919033,
      0.346747841606883,
      0.250975251017044,
      0.47964221457544,
      0.55230752429249,
      0.229505767812474,
      0.52714152960859,
      0.438340637014637,
      0.150563937131928,
      0.61444809516836,
      0.491044175747609,
      0.625035756464259,
      0.472256068359881,
      0.434329553745591,
      0.439793285081394,
      0.458890345625868,
      0.284683183872992,
      0.236411778958627,
      0.509813106372228,
      0.304090063807117,
      0.357479750736986,
      0.171182609489704,
      0.554548876945272,
      0.0812214985445217,
      0.0866640499118866,
      0.427851368140456,
      0.304799564680288,
      0.38048679138093,
      0.199647967166467,
      0.221515111972067,
      0.623041201141326,
      0.558850920392622,
      0.357453445717072,
      0.403643325965416,
      0.176855555253554,
      0.3629545811108,
      0.400029149887726,
      0.356345103989709,
      0.268246065934272,
      0.216754882070942,
      0.14876078633466,
      0.584135580341219,
      0.185781521739123,
      0.264727607950465,
      0.279177735206167,
      0.108930054412139,
      0.0445483884030208,
      0.383935807101053,
      0.417192821117831,
      0.554717040750509,
      0.283850003533256,
      0.336361949767572,
      0.403281782578238,
      0.541556437854812,
      0.204012674679904,
      0.104669981190023,
      0.245346664114843,
      0.276783665520403,
      0.196079844961765,
      0.302554995358668,
      0.638745768823528,
      0.384469703847826,
      0.543040114783351,
      0.286585918820175,
      0.193965890315554,
      0.393679140288678,
      0.0495797295196479,
      0.158495825447894,
      0.441710861059145,
      0.533117548872816,
      0.328112109635634,
      0.407722474211082,
      0.158637709454469,
      0.142696683384108,
      0.394703405890503,
      0.270495230819687,
      0.424149329533609,
      0.276084789603438,
      0.170223083402132,
      0.616137884992622,
      0.361468477166448,
      0.281990166992805,
      0.363816049222657,
      0.101122076171324,
      0.106951229965343,
      0.532527064184442,
      0.171202656142892,
      0.139625157614339,
      0.0762507944329701,
      0,
      0.551176994443829,
      0.351096010847794,
      0.2531471077178,
      0.410023296010984,
      0.104829141535575,
      0.409117852979356,
      0.299556188336079,
      0.221500205462695,
      0.155049165825809,
      0.0797515229615905,
      0.0916082991333939,
      0.275614441826925,
      0.315243308676882,
      0.0689245613494242,
      0.388416372477147,
      0.249393055395372,
      0.115662046304203,
      0.624074131456996,
      0.220568446130158,
      0.528253706731469,
      0.307671771008908,
      0.178332605934923,
      0.546368684491111,
      0.17982494640999,
      0.37953793077556,
      0.266991197052245,
      0.397796889466538,
      0.367005044401252,
      0.414731223674785,
      0.215444929065022,
      0.197542727109654,
      0.228978052046416,
      0.359200586352789,
      0.111683188777739,
      0.445041264621129,
      0.225019284823292,
      0.357042643542948,
      0.172729615370914,
      0.274060196772233,
      0.324334084864127,
      0.273858746084159,
      0.301764694888638,
      0.412699307016465,
      0.258845370775813,
      0.315068892072792,
      0.172381136658188,
      0.273452069152366,
      0.472520368898218,
      0.172272724165017,
      0.464561058204419,
      0.460511174918848,
      0.518455922877992,
      0.429324628848269,
      0.350618286058693,
      0.343194296986104,
      0.459987173978099,
      0.184856772047421,
      0.219131171748347,
      0.217140798810294,
      0.141334948569082,
      0.150919168152262,
      0.319794552191682,
      0.60947044753651,
      0.0128699855251931,
      0.211377181912825,
      0.330128538330255,
      0.226799634506408,
      0.192410213219335,
      0.462823272790774,
      0.629062078816675,
      0.41442876648009,
      0.478065399742737,
      0.381678573231088,
      0.576793012879015,
      0.470256020731493,
      0.480671550670776,
      0.325694360391744,
      0.477975431270813,
      0.32368795699554,
      0.487681885717906,
      0.237277376912931,
      0.619024929867383,
      0.327894671321754,
      0.219871953136649,
      0.256470855295252,
      0.244159565993602,
      0,
      0.437313445193174,
      0.226792778818692,
      0.240906684442226,
      0.428695199796116,
      0.0899761488643411,
      0.55255041247379,
      0,
      0.34558708750735,
      0.201704241899308,
      0.190273366950779,
      0.0805326449044769,
      0.197339805569527,
      0.296897422359561,
      0.556433896837263,
      0.344153741187902,
      0.392850648115415,
      0.365424763296385,
      0.547040034289172,
      0.331800013953652,
      0.311784733681776,
      0.289724114010891,
      0.091622410007634,
      0.0535333641588123,
      0,
      0.5669354082474,
      0.310647738465394,
      0.0601606612546129,
      0.232736530591964,
      0.160002513753318,
      0.162252285497906,
      0.49092965748082,
      0.12209840919961,
      0.516743704026923,
      0.244815536994512,
      0.263121355910551,
      0.48448254513423,
      0.208268601656067,
      0.336501850754899,
      0.131049482523332,
      0.24296382051921,
      0.400052775436596,
      0.607961929377629,
      0.341653529557048,
      0.617774984297291,
      0.35250794894201,
      0.408871467089612,
      0.33164730864623,
      0.0834816580464367,
      0.0533131030929089,
      0.00671131636550775,
      0.44688186740335,
      0.405355026391657,
      0.186410740003559,
      0.172527804536015,
      0.448439312386597,
      0.495123830406229,
      0.328705787972454,
      0.169156544669995,
      0.181560439984,
      0.126270921857879,
      0.338409450504026,
      0.450802721684386,
      0.619974462970262,
      0.484270930086846,
      0.134482323678448,
      0.305764012872799,
      0.100259179044912,
      0.184067899434451,
      0.00459237234218696,
      0.0788205454345244,
      0.172027782470649,
      0.327578638473085,
      0.308323804914317,
      0.593440955006877,
      0.208836745145153,
      0.20944537353244,
      0.397425490410932,
      0.393024742265305,
      0.177690587976691,
      0.154762518215363,
      0.116472739481557,
      0.590215821954844,
      0.11827884587731,
      0.108937577311355,
      0.488093386163744,
      0.30153896069057,
      0.493969831263108,
      0.629144026930367,
      0.369434880062296,
      0.286990815584545,
      0.42619937893672,
      0.13246963420479,
      0.57314075136077,
      0.209980809720319,
      0.195753430799326,
      0.265531075848882,
      0.192635885214308,
      0.0440393618996012,
      0.344361929199796,
      0.383405027019368,
      0.520934565986361,
      0.358879957274066,
      0.422895464208087,
      0.425413154196944,
      0.519272121933752,
      0.319377551852704,
      0.590578022045958,
      0.295534725727751,
      0.236535562789165,
      0.442201759848358,
      0.309379526959997,
      0.5819818768811,
      0.239429752388204,
      0.36799859563391,
      0.494821034906805,
      0.24520746345534,
      0.196390947684867,
      0.274760174334267,
      0.239560421348055,
      0.481333017583413,
      0.220434987870834,
      0.417916829195272,
      0.546423783902588,
      0.438552191487004,
      0.218492652012219,
      0.291220608940177,
      0.38897367412998,
      0.253733301179995,
      0.456050259835114,
      0.386032461912123,
      0.577550464141179,
      0.375302767319086,
      0.192005794388462,
      0.317061587357137,
      0.404700081343582,
      0.251498737475928,
      0.375121139601927,
      0.428859537734525,
      0.190446420671665,
      0.464744373075713,
      0.323125600418835,
      0.504790621048817,
      0.446882758089357,
      0.199390250587451,
      0.237732837252379,
      0.241278164466127,
      0.14131592336758,
      0.249424266463244,
      0.374603244909623,
      0.579371584189526,
      0.0435101001138385,
      0.235775031948515,
      0.402336472310393,
      0.422193499048536,
      0.256013377594975,
      0.428021017581662,
      0.585145866348497,
      0.297579061656186,
      0.602029509765684,
      0.322218867494218,
      0.64281001901693,
      0.460819912102178,
      0.472820484708439,
      0.378028671391803,
      0.377938500245424,
      0.281390633489681,
      0.446898087607079,
      0.237548210406904,
      0.516398877213499,
      0.352332249587095,
      0.215808638015593,
      0.34636285449504,
      0.210497357601071,
      0.0453246252989581,
      0.384628210867225,
      0.213520841682426,
      0.374107303647658,
      0.247902316766974,
      0.153026826534945,
      0.623005195331499,
      0,
      0.223116337744697,
      0.28718275973095,
      0.130185084405765,
      0.160463271131147,
      0.292995543541386,
      0.157098963707453,
      0.413837547338278,
      0.488068814492565,
      0.271921637841304,
      0.456108057463489,
      0.478268640329512,
      0.308298766474836,
      0.472263479749312,
      0.328950235287666,
      0.12967541382524,
      0.0941089114625675,
      0,
      0.591915678051066,
      0.312864565188132,
      0.146260008851558,
      0.29120286923996,
      0.232336146652658,
      0.184359050673204,
      0.294402499809625,
      0.190987227472853,
      0.198281351632692,
      0.337064852197381,
      0.50195533574029,
      0.555701659598522,
      0.353314391242312,
      0.222659439193069,
      0.274501652055285,
      0.289317364242985,
      0.324518895856902,
      0.272752777866993,
      0.31936219745431,
      0.562197886279535,
      0.382174789492958,
      0.0861103409870825,
      0.35238180238044,
      0.0886165744477968,
      0.341595386605927,
      0.188426141019915,
      0.3299450009393,
      0.476385358435036,
      0.414461953653219,
      0.238913921489616,
      0.581469812494509,
      0.448650789175427,
      0.28081445856417,
      0.21467321525062,
      0.232269105501881,
      0.299027988188278,
      0.292484491339627,
      0.356116855794596,
      0.510450004251302,
      0.438947528793001,
      0.245228434395282,
      0.443053067190389,
      0.261513481607598,
      0.229785768844962,
      0.137819394903282,
      0.123734005927,
      0.129560399869437,
      0.197538723865126,
      0.314585120947568,
      0.614783391718221,
      0.237844865661464,
      0.256875542629998,
      0.377488877605572,
      0.220532441475038,
      0.179533702889266,
      0.0624651671052555,
      0.255422061562061,
      0.415012351418217,
      0.0528739707444512,
      0.087785000533436,
      0.433683336205021,
      0.34735900413516,
      0.339769077559994,
      0.529436570339023,
      0.320936916406731,
      0.35834901702473,
      0.379125469444348,
      0.162466072021356,
      0.644229435596128,
      0.245677447502316,
      0.251457370002743,
      0.367893047327578,
      0.23953949538231,
      0.0813967637472571,
      0.36547046684108,
      0.385857836170419,
      0.241586248347406,
      0.388193550756315,
      0.356471268676704,
      0.536033327229094,
      0.403544354874607,
      0.265808190501219,
      0.560343159676079,
      0.375728411753925,
      0.207710451234475,
      0.31872018000251,
      0.438631874015886,
      0.564460794504328,
      0.248357117032619,
      0.284728057212521,
      0.559651285518624,
      0.210444192215215,
      0.18938917929102,
      0.201552214651253,
      0.253766211655902,
      0.375212112655398,
      0.278922608026661,
      0.414426477360151,
      0.58221817585614,
      0.392141754209155,
      0.232065425072576,
      0.309916490087389,
      0.613592270270545,
      0.230661176069323,
      0.504465922299356,
      0.351037374791613,
      0.52784679418765,
      0.383138695562137,
      0.269871349244934,
      0.511021341197102,
      0.575572518658504,
      0.268181703710969,
      0.493049976180909,
      0.335793739970919,
      0.36881183735794,
      0.386957748202003,
      0.340841496917907,
      0.644437986681613,
      0.394416158665749,
      0.31702710908091,
      0.326463667387086,
      0.434913056263742,
      0.196303098519601,
      0.36818550684731,
      0.429732309151709,
      0.385988975488084,
      0.143309013762745,
      0.206568984291221,
      0.536909369408232,
      0.466955875099866,
      0.171078232241345,
      0.454288043120099,
      0.491410050038383,
      0.187627275681155,
      0.571663876868973,
      0.461173346561932,
      0.582640864752288,
      0.400194446166509,
      0.485296728342456,
      0.446791618928032,
      0.454800278420004,
      0.277491856327253,
      0.323522172236728,
      0.319152358232555,
      0.180149464038273,
      0.350224945978285,
      0.15639147234434,
      0.522588373746298,
      0,
      0,
      0.437872526972406,
      0.135897444743441,
      0.364728810431517,
      0.194299912942568,
      0.223064155599815,
      0.597333313355542,
      0.414901034496048,
      0.261978644766832,
      0.523394973630358,
      0.184905583224536,
      0.480494981059494,
      0.400809314076097,
      0.36450932778805,
      0.279377570125833,
      0.155473582797702,
      0.122187801618615,
      0.581298793330209,
      0.236420256290978,
      0.129337044086708,
      0.24158151939515,
      0.103149739199617,
      0.138611566523175,
      0.141489424684429,
      0.268193460473305,
      0.526626204014195,
      0.275054075495514,
      0.300704813293797,
      0.377306431788512,
      0.486292610549341,
      0.197953110506549,
      0.145161645854027,
      0.215042318388888,
      0.373783877717167,
      0.173603659694586,
      0.286434588916723,
      0.625564138606586,
      0.174511414978151,
      0.503391742112969,
      0.318387421126744,
      0.0889860207996353,
      0.248426919677785,
      0.0555686364153646,
      0.115818343097139,
      0.41573069875577,
      0.477160344179155,
      0.212507452191833,
      0.384621872362194,
      0.134377478529605,
      0.258331566798253,
      0.412888725620288,
      0.224983908817481,
      0.429486573501495,
      0.30603522068188,
      0.220263933429357,
      0.592574679882257,
      0.505455341898719,
      0.314553566185829,
      0.314408878214717,
      0.197430902520924,
      0.189570496043187,
      0.342542169794051,
      0.232693136425533,
      0.152529154544751,
      0.123054558619002,
      0,
      0.388179048018126,
      0.388684533970602,
      0.372774715244222,
      0.369742957677774,
      0.259685753181895,
      0.44417606419939,
      0.164013406854556,
      0.189976208201037,
      0.115080619911804,
      0.110121151639615,
      0.225896565470928,
      0.175510265602104,
      0.338362860930491,
      0.115736017852805,
      0.306217501985774,
      0.433726152475094,
      0.144873218916951,
      0.558556965259275,
      0.203440809952462,
      0.257948584635251,
      0.296531285724342,
      0.233998603805891,
      0.325648545581977,
      0.356829243188286,
      0.426871233538686,
      0.30508960586152,
      0.254609301780042,
      0.521240553767673,
      0.396722225950914,
      0.195064761543459,
      0.171621814154595,
      0.262459310970319,
      0.518308102878487,
      0.120023773312043,
      0.484712525295093,
      0.239155179311859,
      0.241200241136413,
      0.255619484833279,
      0.367579258141675,
      0.356277939325246,
      0.228764557256867,
      0.212534619782042,
      0.417669087757413,
      0.321465081651599,
      0.183036180565695,
      0.150277105214458,
      0.221450513983486,
      0.355005519688047,
      0.286826513331959,
      0.205661380818338,
      0.515738635716576,
      0.554958466451893,
      0.25656268627448,
      0.35262234534633,
      0.374859122073413,
      0.363958121277435,
      0.218524424662193,
      0.186864980805335,
      0.188232679555195,
      0.16310267405535,
      0.104219288805103,
      0.304247808046792,
      0.638291717363307,
      0.0639232023265278,
      0.253335208867961,
      0.36486452243925,
      0.190631915056042,
      0.292750720117235,
      0.344638543308059,
      0.531369954529017,
      0.450053441591406,
      0.406743314577649,
      0.349988794905079,
      0.561217766416326,
      0.279292459680109,
      0.424401546930844,
      0.328526273229351,
      0.451189697358881,
      0.182788185870586,
      0.402441815501274,
      0.224080529729622,
      0.640802985067791,
      0.263934975755457,
      0.190093342011846,
      0.28074365886433,
      0.246819432858309,
      0,
      0.417389816622819,
      0.198290626816487,
      0.360242901857002,
      0.450816021126267,
      0.142970773961172,
      0.594330874508722,
      0,
      0.403898309072074,
      0.195685421440973,
      0.219756541508812,
      0.0371529918846876,
      0.123206920566573,
      0.329468441300037,
      0.572191890297432,
      0.323095972851925,
      0.297214344610375,
      0.355095192353035,
      0.623892109957356,
      0.401475494081192,
      0.21214744523493,
      0.219740054958171,
      0.12433495713514,
      0,
      0,
      0.629589024657129,
      0.321669123609608,
      0.105425260475626,
      0.164425731667216,
      0.172451304734902,
      0.259596219557014,
      0.429204625751143,
      0.14331871745178,
      0.563510640077389,
      0.115733488439108,
      0.317787475359982,
      0.474936695981383,
      0.254559644651403,
      0.263179082270857,
      0.0704501042246726,
      0.215643494506823,
      0.519177341933219,
      0.537826146010318,
      0.214317758148198,
      0.657692637293938,
      0.419862341905596,
      0.392700714803898,
      0.299444542859097,
      0.145051760407342,
      0.0431188337815748,
      0.0245132330158969,
      0.430668406620376,
      0.435943700596738,
      0.22794968275536,
      0.258947367567529,
      0.558344076873928,
      0.519091010686588,
      0.391792538621562,
      0.111346953328317,
      0.149625495880052,
      0.166443988896821,
      0.274168847845085,
      0.439147445922321,
      0.656477690271551,
      0.290575362012439,
      0.130066478694932,
      0.366888434367348,
      0.0653915091470162,
      0.157227667828393,
      0,
      0.0683842594060015,
      0.196111714868419,
      0.488091468813507,
      0.24249725481778,
      0.609092772581504,
      0.209682423140656,
      0.237887091204554,
      0.332477472153028,
      0.308761323557408,
      0.236166539511322,
      0.115028761129549,
      0.0698652662422643,
      0.627023388917191,
      0.113620510332021,
      0.0891028764309878,
      0.473661423386254,
      0.250111147611788,
      0.441788586946678,
      0.514889890752221,
      0.429297091688209,
      0.343594046418068,
      0.399159215162184,
      0.205087674052813,
      0.646193116099313,
      0.16573580777671,
      0.20901302238753,
      0.220383897023248,
      0.164804554046421,
      0.0507561833405589,
      0.22236591839669,
      0.438927654876437,
      0.546387660089526,
      0.206015115353621,
      0.493615520722487,
      0.397790046232786,
      0.313903871584306,
      0.337010153811723,
      0.327406038172008,
      0.2854270729268,
      0.237495921796997,
      0.30814673113257,
      0.461454725250371,
      0.609765087514661,
      0.364357850757253,
      0.251086699886927,
      0.555750071148484,
      0.300430165934459,
      0.18560438167638,
      0.245792171305779,
      0.230153952349809,
      0.579270304544493,
      0.153981177869496,
      0.409078722548874,
      0.545071705758459,
      0.229289522402251,
      0.29827459303548,
      0.27432515432167,
      0.401444467198388,
      0.262245807613981,
      0.304364190021067,
      0.468936111994299,
      0.624866451237134,
      0.424790308151848,
      0.230243928654386,
      0.325409655977168,
      0.222589194195609,
      0.326824975802259,
      0.159127303138867,
      0.495729777340216,
      0.162348362103535,
      0.245571445290426,
      0.301938765565336,
      0.504674041066253,
      0.322736092120119,
      0.275786924296413,
      0.182238991910741,
      0.261699530714568,
      0.144978016828416,
      0.188142963379712,
      0.350402658394969,
      0.628837341389478,
      0.102918727672943,
      0.311349818496024,
      0.41198039083558,
      0.327123052436212,
      0.311164059281183,
      0.371289815062147,
      0.494769588107913,
      0.269694008084151,
      0.591047389221765,
      0.352247966412472,
      0.665710088821251,
      0.233859811701362,
      0.408218970313097,
      0.352761388134762,
      0.407247288220833,
      0.249501103356384,
      0.408523828976464,
      0.198579041945483,
      0.554890461206076,
      0.252894006989824,
      0.155053100674573,
      0.378368375935915,
      0.243096918496004,
      0.00678021647276173,
      0.437801358499344,
      0.275116188851304,
      0.355247000762833,
      0.291597585262489,
      0.160496042154706,
      0.636898751030952,
      0,
      0.159815902114221,
      0.291765621560315,
      0.13035787722483,
      0.166754153613702,
      0.207899111130466,
      0.207103491366477,
      0.445034306504022,
      0.401077262959543,
      0.272999475934745,
      0.454444600315084,
      0.49038373831108,
      0.422433587815305,
      0.438712423247031,
      0.470690323986191,
      0.104246440890664,
      0.0442732606320466,
      0,
      0.621210170777261,
      0.322710888868919,
      0.126980750554876,
      0.271741673601909,
      0.181076823120165,
      0.167607223097837,
      0.284062887599233,
      0.188244662553513,
      0.160417956067889,
      0.27097428903665,
      0.519020439795211,
      0.605309099839658,
      0.285721846586781,
      0.226717488271541,
      0.212207734940573,
      0.37517825436894,
      0.391982610981002,
      0.326837294231326,
      0.276207315442442,
      0.565863018629471,
      0.397834766700027,
      0.115331100384483,
      0.351066143895623,
      0.16510707535395,
      0.248153074441173,
      0.172752807740903,
      0.270471722374937,
      0.447618181971043,
      0.482827879789819,
      0.203595746946563,
      0.612133271111867,
      0.47656455762202,
      0.294972055005838,
      0.203430559642692,
      0.249170593676339,
      0.388974309746891,
      0.200712683701362,
      0.348211605147657,
      0.553982608263693,
      0.381864321071769,
      0.305408664351837,
      0.450932526398031,
      0.231780291063523,
      0.239529664016649,
      0.12313001894111,
      0.201086865893515,
      0.174525719538496,
      0.184530028659925,
      0.258624012403812,
      0.664133809669804,
      0.223057255743616,
      0.188440029708141,
      0.343676271796446,
      0.0903906265872234,
      0.202627003628317,
      0.0483386312691689,
      0.17876651992174,
      0.446724132812454,
      0.00337732869602249,
      0.0487691747388227,
      0.453580688756887,
      0.164393574870138,
      0.383816431204037,
      0.48213549374955,
      0.424726746294506,
      0.362608530591532,
      0.374011186281388,
      0.172018016967012,
      0.667583882594402,
      0.216460927038864,
      0.237654920512061,
      0.389517423598287,
      0.241245739357656,
      0.104828456035413,
      0.297634428013726,
      0.486605083608195,
      0.22941870021648,
      0.179153000704218,
      0.381521510565255,
      0.548558765430156,
      0.310112632259812,
      0.28316662271151,
      0.318749557300104,
      0.44801339591076,
      0.191935637741758,
      0.312780068769704,
      0.445489249105134,
      0.598519237116854,
      0.323044349432238,
      0.134883922065352,
      0.577819987096105,
      0.143958397064206,
      0.192898822911991,
      0.203172383557943,
      0.239796524114593,
      0.480639495594712,
      0.240342065096374,
      0.331785526448025,
      0.623231071231379,
      0.267283997125096,
      0.283772355271262,
      0.273042854714473,
      0.528339821324243,
      0.243170489166172,
      0.354586587542459,
      0.420563587775071,
      0.542732992183359,
      0.351606232595039,
      0.414123886943056,
      0.455407719877436,
      0.571322174057662,
      0.313140476569386,
      0.428422584856413,
      0.431961096806167,
      0.376237281104983,
      0.254229231767723,
      0.375054392229391,
      0.650980463912316,
      0.446457711595273,
      0.277610458295827,
      0.257669066323748,
      0.390362708541762,
      0.237026262200511,
      0.269569363006804,
      0.387214509345091,
      0.426223667216767,
      0.135295102290991,
      0.281357315302572,
      0.52648175926028,
      0.294006568473004,
      0.265199279835257,
      0.379645682493008,
      0.405477870137343,
      0.159966379615895,
      0.541259263660698,
      0.398014340984915,
      0.609775538067602,
      0.27315282133662,
      0.429848021946659,
      0.392818179540061,
      0.424094908677434,
      0.197587539409793,
      0.248251376870783,
      0.219369559168436,
      0.138199517767228,
      0.303108856569868,
      0.110768130560316,
      0.516191960060453,
      0,
      0,
      0.440601572792682,
      0.188800174355415,
      0.333652931812477,
      0.214612552556239,
      0.234407333928759,
      0.645482831478106,
      0.272559447190523,
      0.193530847944081,
      0.542403546411408,
      0.169076923674004,
      0.507499012262187,
      0.414710475740936,
      0.438500693568358,
      0.284851346618309,
      0.129596009159122,
      0.220236909467153,
      0.604189263101576,
      0.201060756447317,
      0.0814135951081708,
      0.199432850129284,
      0.104309367888841,
      0.217789543435998,
      0.00904481542748747,
      0.20667372029404,
      0.554108471999392,
      0.238541630966617,
      0.251762917101865,
      0.360461239178954,
      0.388971637532654,
      0.184109073584979,
      0.0947727111649337,
      0.206106345901001,
      0.439418531443149,
      0.243082228125229,
      0.252984158198815,
      0.64433554562984,
      0.186396472490371,
      0.210844161585409,
      0.285506273861414,
      0.0667948021899997,
      0.0992644088633654,
      0.0284418338074061,
      0.0463565868516159,
      0.44909104173867,
      0.450471143848735,
      0.227559570491424,
      0.383730831878746,
      0.115487210070053,
      0.255320431262204,
      0.452568357509643,
      0.171845508566097,
      0.315086011889507,
      0.278730321106968,
      0.255536575362522,
      0.609302545604001,
      0.440855794941367,
      0.223868489234643,
      0.289510475153771,
      0.139354017340021,
      0.222644656254405,
      0.344150862675154,
      0.197342070830125,
      0.157945977198564,
      0.139966936715597,
      0,
      0.375118621098067,
      0.365288720617676,
      0.474734841235863,
      0.467373813696399,
      0.29316497374784,
      0.538113848545362,
      0.257082069261631,
      0.237570875470433,
      0.172431082930261,
      0.125774663147432,
      0.244501641069427,
      0.213426859834825,
      0.313193352965533,
      0.204183238642055,
      0.225351331827038,
      0.534273892629459,
      0.339692038715935,
      0.39142228540368,
      0.22488575041446,
      0.284929793395864,
      0.585633925218058,
      0.374490894600069,
      0.301469472162757,
      0.502916066765209,
      0.519402442664197,
      0.393604576100942,
      0.309933397860287,
      0.624563632887249,
      0.481838292608811,
      0.167394042031317,
      0.0386713838965974,
      0.32029469743928,
      0.585417025412394,
      0.1285939425377,
      0.51453954994003,
      0.310498142657039,
      0.166944141705615,
      0.292346181307711,
      0.445354544289964,
      0.430255338649352,
      0.372033509577539,
      0.159115676042543,
      0.400617879246205,
      0.538489805893729,
      0.259584606405911,
      0.248338570719801,
      0.336864666770007,
      0.25598023990026,
      0.327834152896459,
      0.145907229107816,
      0.411537217640204,
      0.493764772562673,
      0.191686842019597,
      0.349016347699667,
      0.440763199157167,
      0.286411654462332,
      0.355086153873945,
      0.270459726956172,
      0.220412458920856,
      0.169349270076688,
      0.211264848789919,
      0.328172981576306,
      0.61749301918621,
      0.243163128823967,
      0.304879606122703,
      0.539733110905465,
      0.210296198280981,
      0.399591605524127,
      0.286747475015727,
      0.261686624526795,
      0.52522388582679,
      0.53258299439834,
      0.245664417888468,
      0.524296270813352,
      0.326238196745507,
      0.270145490872749,
      0.383593615562871,
      0.354421381017966,
      0.288163395000968,
      0.403144285122167,
      0.301154349198551,
      0.606224449870347,
      0.242897664534776,
      0.336024257686307,
      0.335436600880475,
      0.338097926221969,
      0.108604791066687,
      0.419288339627287,
      0.338872635171689,
      0.447084354890344,
      0.471152199823569,
      0.235621749989964,
      0.558430508232373,
      0.165681278768094,
      0.518630673852579,
      0.389038512351242,
      0.223442528560101,
      0.0759690234174717,
      0.000194885338764662,
      0.409407764968691,
      0.554311424868967,
      0.244183242584023,
      0.152606379156853,
      0.374065120866417,
      0.655351029676275,
      0.503100955403044,
      0.210659276175085,
      0.262822233855059,
      0.348602128357874,
      0.0670968945437444,
      0.158651024045625,
      0.609745548627969,
      0.304504863363042,
      0.10615720888728,
      0.240696148910198,
      0.217995300168624,
      0.442221149555553,
      0.39027339226316,
      0.413131254823067,
      0.498567910152773,
      0.0576326645409355,
      0.402838632336306,
      0.444891647894953,
      0.19584886112272,
      0.39426814982271,
      0.193757507712004,
      0.175576830485721,
      0.625837948331057,
      0.480042463575395,
      0.360823049161128,
      0.647433536510265,
      0.402231779844087,
      0.384985796201214,
      0.451939144126727,
      0.170592168643492,
      0.139517796334328,
      0.0951562467029302,
      0.510581614983501,
      0.512337660481409,
      0.275228882298885,
      0.629361961858157,
      0.589949878128375,
      0.34769581243941,
      0.636614644765587,
      0.347454697114996,
      0.188567174746854,
      0.469447829960411,
      0.406556194003755,
      0.477283224951466,
      0.624293107348201,
      0.605183192694567,
      0.160950462981933,
      0.366451790261297,
      0.112724488442147,
      0.380505885191247,
      0.296770464733501,
      0.363867953506194,
      0.388532397263311,
      0.560451601746483,
      0.145334639854621,
      0.580411767374163,
      0.177905292229132,
      0.263279736956647,
      0.265413409924307,
      0.202190619204963,
      0.298706610995638,
      0.287927070300092,
      0.291136962338223,
      0.578651792949906,
      0.125190990570477,
      0.0783972931294591,
      0.561701920404157,
      0.220103500113442,
      0.608877399909383,
      0.491574256163566,
      0.463153843620058,
      0.48040830835181,
      0.458321195118776,
      0.250150320099699,
      0.616703262964309,
      0.249790049720037,
      0.224629278396461,
      0.269895100693869,
      0.122739843172027,
      0.0804959110294269,
      0.257944582699638,
      0.504209865883508,
      0.508403615199427,
      0.0714529066578189,
      0.532963203649062,
      0.445981462686613,
      0.312603204258621,
      0.321153673027861,
      0.361077035152319,
      0.562696898660299,
      0.318039908214302,
      0.353380751532501,
      0.504564923618982,
      0.599758786900434,
      0.459171011999306,
      0.309810863705776,
      0.628615894682618,
      0.331003711011392,
      0.232129145148536,
      0.189324667486471,
      0.208349816597545,
      0.557691298725561,
      0.178219520341847,
      0.432340789505429,
      0.477685357643319,
      0.168674342004329,
      0.342933651609957,
      0.412433553807897,
      0.489670798534822,
      0.317536258695451,
      0.245031619608391,
      0.548258433756382,
      0.635634294708954,
      0.377790183194568,
      0.335606234058734,
      0.308197280451556,
      0.232104091528306,
      0.356850005170292,
      0.177265041451557,
      0.457304620896887,
      0.199059955010521,
      0.130058379995536,
      0.2716405140419,
      0.509476248501318,
      0.245861421624427,
      0.358446398147439,
      0.312404078467416,
      0.223272685101034,
      0.307822841670614,
      0.261063495847506,
      0.35853119178745,
      0.582887502964323,
      0.304254836341189,
      0.351747576337287,
      0.477043561192769,
      0.265431142167959,
      0.378953002816902,
      0.258865274842746,
      0.34765101521608,
      0.420678581918834,
      0.445069130984484,
      0.27968807778831,
      0.642171589042887,
      0.30754245792103,
      0.364475395280711,
      0.427253027852065,
      0.316010698417979,
      0.308200931120597,
      0.28427158550011,
      0.222028946637975,
      0.518978899359595,
      0.4499750389056,
      0.330931835236139,
      0.406921220482568,
      0.380936020105651,
      0.15733571389117,
      0.49301052505987,
      0.347250858906006,
      0.489434311563714,
      0.364185551730413,
      0.449193468233923,
      0.624318235454617,
      0.133905060275286,
      0.154134059585246,
      0.32077675823971,
      0.207273125488456,
      0.373935015553943,
      0.112735197507707,
      0.257885519312273,
      0.418618215936686,
      0.263367539741687,
      0.167714132678259,
      0.449919152710044,
      0.513440389853638,
      0.557004799955228,
      0.437274659674211,
      0.525669712456738,
      0.403761516152823,
      0.10180180925771,
      0.201459334990428,
      0.603994780670428,
      0.319799272165554,
      0.168655366106921,
      0.297911835156716,
      0.23786144782244,
      0.135054447355854,
      0.560235601599936,
      0.334093113028849,
      0.361661995672339,
      0.269180503150666,
      0.526822587429024,
      0.611730984819992,
      0.229688973876453,
      0.118782485429504,
      0.27705701120368,
      0.607758878157851,
      0.605115481400357,
      0.297457765110848,
      0.385851290559398,
      0.534351528871991,
      0.363643136847721,
      0.142886241575318,
      0.598459688263722,
      0.530122783881682,
      0.351415689290186,
      0.185202700649855,
      0.194127728392979,
      0.594169921731203,
      0.604623822988559,
      0.448522487804383,
      0.598919481140988,
      0.479556976893989,
      0.626015134990926,
      0.230932523840486,
      0.324716912654139,
      0.525897428673415,
      0.291869237243892,
      0.617369198749885,
      0.503222912353492,
      0.596715595608167,
      0.336485544702539,
      0.492124000364239,
      0.222112583465915,
      0.36691215674985,
      0.308502522179921,
      0.396976230924151,
      0.250188573720378,
      0.220285458787705,
      0.236049650897152,
      0.654988645679363,
      0.211118361461217,
      0.202782128362633,
      0.320110868593696,
      0.150773306782483,
      0.276552649300501,
      0.350157248476723,
      0.236899023478175,
      0.383374972530757,
      0.10529265325175,
      0.111528330653368,
      0.525446006850296,
      0.263642801681085,
      0.603504786556601,
      0.60808583734133,
      0.471687703845948,
      0.462545798498543,
      0.493510517681532,
      0.224074154320004,
      0.630063944395727,
      0.264611343304858,
      0.237778119680604,
      0.362277794030617,
      0.138305909027621,
      0.158157744047095,
      0.256127054084778,
      0.474065225904608,
      0.227811236735477,
      0.121711729607814,
      0.335359176357919,
      0.515947042176765,
      0.31826908631566,
      0.371665793149842,
      0.404372138431727,
      0.534524680809203,
      0.253362605182788,
      0.380462743815112,
      0.448166093451745,
      0.581395752105446,
      0.416791941936287,
      0.174211407930078,
      0.57680470691357,
      0.223595633357315,
      0.184197739386576,
      0.0982509689467603,
      0.092824609189814,
      0.447887756300573,
      0.238511055808573,
      0.312937752589057,
      0.60517752178221,
      0.181875681998039,
      0.353703668623881,
      0.392028614224687,
      0.444651596954675,
      0.317224815920774,
      0.322572331617403,
      0.544931856357358,
      0.498262563990095,
      0.323413251962312,
      0.429970555738692,
      0.465207370088066,
      0.400144703295477,
      0.460694313268616,
      0.294194960358087,
      0.47069979432976,
      0.231051868128029,
      0.335373486055952,
      0.39480479303299,
      0.623410358246488,
      0.318680800817495,
      0.321454123750679,
      0.329240528435616,
      0.242643190188682,
      0.355935265476458,
      0.447259990061781,
      0.427052143944183,
      0.38861218524666,
      0.322144512082564,
      0.292029384424033,
      0.479477299934376,
      0.213961236965507,
      0.358991547309646,
      0.411330822641305,
      0.26002815701679,
      0.438527053335565,
      0.31104218739542,
      0.277095273199615,
      0.61154307929337,
      0.349272545078915,
      0.382893123622657,
      0.477776465011861,
      0.337368120187888,
      0.271869585419535,
      0.181218032743372,
      0.232361769183386,
      0.338899679240605,
      0.519650188913708,
      0.326915804484907,
      0.48453255631929,
      0.113973912854255,
      0,
      0.42664503191238,
      0.277496802768649,
      0.323844388555912,
      0.300278420339736,
      0.269889006626606,
      0.59881008902749,
      0.308656938449818,
      0.100853340003418,
      0.552281468955156,
      0.286504073123039,
      0.451943322631039,
      0.343551050500302,
      0.36358968567392,
      0.245383557472704,
      0.214190637776981,
      0.438751974731705,
      0.575995654360132,
      0.204582065044599,
      0.173683326444188,
      0.206431488890328,
      0.131443422718099,
      0.228633046695237,
      0.193273672934562,
      0.28876235536481,
      0.50489505125864,
      0.208127298288615,
      0.182511755585131,
      0.353008783569932,
      0.170554799235125,
      0.22453252489949,
      0.131909227501574,
      0.27394169948563,
      0.464775799517643,
      0.331381832987534,
      0.361275790703935,
      0.617402781557981,
      0.199117195357785,
      0.222827344437004,
      0.329276118398069,
      0.133671234775245,
      0.135263593134424,
      0.0440007252489295,
      0.123613425265661,
      0.39218311382517,
      0.310296496069686,
      0.35659652358865,
      0.383690488500027,
      0.131327625099401,
      0.236458079904988,
      0.549252021505296,
      0.164675546968695,
      0.264353347271656,
      0.288981671487425,
      0.178485090809066,
      0.611603198505265,
      0.413288818746363,
      0.360908962590185,
      0.237512421388011,
      0.0859383279763672,
      0.156550778145541,
      0.391972705716087,
      0.353771067697086,
      0.324292261112565,
      0.133964434014242,
      0,
      0.364187561514393,
      0.391546776659393,
      0.46159606363145,
      0.416125142936908,
      0.196293332348164,
      0.556285450513165,
      0.26926294021499,
      0.20540359858504,
      0.190135787427356,
      0.0776526089926001,
      0.17686568967989,
      0.232001145593717,
      0.289671136661718,
      0.248379470415844,
      0.20240494233149,
      0.586518439928167,
      0.357599942847398,
      0.245083846929453,
      0.243368661390308,
      0.252616819392889,
      0.63913046473955,
      0.515515374027048,
      0.342897809035472,
      0.470747467526339,
      0.517881730097676,
      0.435138471491591,
      0.35279836638127,
      0.449242935636049,
      0.51171718762229,
      0.159609900460334,
      0.0424708582592439,
      0.283041099243076,
      0.596312055246713,
      0.145301159286968,
      0.517087382999366,
      0.304530902707399,
      0.156030780474439,
      0.247075864554396,
      0.427138164236678,
      0.426749559036795,
      0.496953435261315,
      0.208341929604239,
      0.395556416325958,
      0.484348164784685,
      0.231968539863184,
      0.245916369109874,
      0.27719338383635,
      0.268260831064266,
      0.301236515901063,
      0.175639495565422,
      0.241141647832975,
      0.509179198069619,
      0.144738025174272,
      0.325425924335152,
      0.508492452459825,
      0.255503903675961,
      0.270393908725846,
      0.257864103867614,
      0.263894613336485,
      0.171811888636908,
      0.245594378069645,
      0.350319360386711,
      0.600574652031005,
      0.305512035882426,
      0.330948232372928,
      0.58258272070759,
      0.25585684748727,
      0.434568837730066,
      0.26565426107588,
      0.236408373797117,
      0.551455370829849,
      0.559542230279433,
      0.223801622476826,
      0.549593142886706,
      0.396275391717848,
      0.263153516216694,
      0.429064993828791,
      0.354776619361628,
      0.322060937229657,
      0.3718013739852,
      0.347986836598879,
      0.585400393791628,
      0.243209973087616,
      0.327019751587149,
      0.287021257524695,
      0.351987476367804,
      0.132705972461122,
      0.395170385672567,
      0.336720758289473,
      0.613134873090036,
      0.452212154203443,
      0.190936867041518,
      0.530766860921955,
      0.172798312807594,
      0.575050919238039,
      0.360066221789328,
      0.122252726187379,
      0.048701550425569,
      0.0340151243573417,
      0.344816175993844,
      0.567185551612285,
      0.264893659802066,
      0.164852246238023,
      0.339065722716077,
      0.620516949117243,
      0.489309974279069,
      0.22171381041692,
      0.301865953082313,
      0.352547299724894,
      0.0855850387164341,
      0.208353222528157,
      0.606810425050355,
      0.275210653713319,
      0.074656822070719,
      0.211164381759329,
      0.290410919175786,
      0.383586647701649,
      0.34752012837706,
      0.378801194706681,
      0.51546140209374,
      0.0462923329050206,
      0.403878005625137,
      0.379481008154143,
      0.164341954591164,
      0.377585240655957,
      0.23579029355648,
      0.260266609101812,
      0.668777270611006,
      0.335176984269316,
      0.351877043079877,
      0.621089655191042,
      0.434270603649059,
      0.36635344478881,
      0.410237136214489,
      0.189693041387575,
      0.172162064429822,
      0.107210710662461,
      0.504863236214984,
      0.48091717116041,
      0.19701274616952,
      0.605906746663922,
      0.545298551873072,
      0.308317061473477,
      0.67249481701575,
      0.452350822053535,
      0.232600620747523,
      0.460697846836084,
      0.452492047599569,
      0.49393551866456,
      0.608219454219415,
      0.644041181250551,
      0.170167544050739,
      0.355971972147692,
      0.184654432390328,
      0.38293226232754,
      0.269599092993969,
      0.330339546926417,
      0.35163368713742,
      0.475144538338488,
      0.221583949011108,
      0.560597723330316,
      0.175014310639795,
      0.298953759506894,
      0.322804100738807,
      0.2417437351222,
      0.271306659098743,
      0.29331737191327,
      0.311770903302053,
      0.576189398108012,
      0.186108592152785,
      0.108096969503477,
      0.560841168248567,
      0.286790892139298,
      0.608597749369222,
      0.575329566283176,
      0.532099193835412,
      0.484266499172825,
      0.447889626374449,
      0.270561187866727,
      0.635289541333897,
      0.304160923067743,
      0.192879095938212,
      0.1888583331228,
      0.11561023950318,
      0.0833381469913444,
      0.221547758301978,
      0.446612748616796,
      0.524034955822055,
      0.0679696639205985,
      0.593586290407835,
      0.448669579811668,
      0.248652809404889,
      0.292125523517445,
      0.345744684372337,
      0.623814731334744,
      0.370409836781238,
      0.407079501121488,
      0.471905040303728,
      0.581178630147085,
      0.468016257399303,
      0.32270921069206,
      0.474595890504753,
      0.356750938140983,
      0.283666103985862,
      0.189680151872377,
      0.17671612131297,
      0.572464824801473,
      0.236659334555345,
      0.405522018481149,
      0.487175922692578,
      0.196041611660109,
      0.27640155979213,
      0.37428431927936,
      0.467944317864662,
      0.321066892919938,
      0.2486024047809,
      0.505810375377428,
      0.629251173883268,
      0.348781994193116,
      0.28876790013441,
      0.262191355416813,
      0.258186035118963,
      0.352727690551616,
      0.181432142272054,
      0.392350209476212,
      0.216599108349555,
      0.0555418462681276,
      0.303559315783603,
      0.530957236663913,
      0.260332381200504,
      0.250624860143013,
      0.422923510785506,
      0.279531999802397,
      0.298476451942941,
      0.245503842117998,
      0.407219154602922,
      0.597002595681346,
      0.262335401371123,
      0.347833341244966,
      0.553384826979685,
      0.299517820034827,
      0.388647684951646,
      0.318769913746162,
      0.282770832804111,
      0.456800247769979,
      0.445472047652933,
      0.247124174382743,
      0.590738327856356,
      0.404463950599642,
      0.381919631769783,
      0.465694065564625,
      0.30207809667752,
      0.283473486719329,
      0.314556921631572,
      0.275367024083133,
      0.535499136549778,
      0.426729022803762,
      0.329806824322831,
      0.368424474426774,
      0.3684053826161,
      0.163508512240684,
      0.434995035284227,
      0.348085060788265,
      0.502716203957382,
      0.378064982221416,
      0.434862373878392,
      0.592157656041131,
      0.171030576478962,
      0.147810080166758,
      0.239507429169468,
      0.216295048215427,
      0.424302789609423,
      0.113623137776174,
      0.280771178768757,
      0.548764586420021,
      0.246938208042297,
      0.0762419371986353,
      0.45490165498829,
      0.586674199234524,
      0.596003419547286,
      0.408882841768177,
      0.507637415861005,
      0.409286884805077,
      0.0719962279907549,
      0.243300416362535,
      0.589488534024446,
      0.324509555704223,
      0.190734624254654,
      0.284312758358645,
      0.267719416367201,
      0.11747920096929,
      0.550976415245219,
      0.395106516823093,
      0.388601419362516,
      0.271105145884396,
      0.590032386704273,
      0.567402754258334,
      0.255216523178796,
      0.203381384018798,
      0.310200008066878,
      0.640939960820913,
      0.653911100152364,
      0.245169741048184,
      0.351966084034441,
      0.563091100288311,
      0.354037141479691,
      0.299326520722568,
      0.56638550852554,
      0.516519374422019,
      0.299986174516666,
      0.206905283258788,
      0.234418092791179,
      0.602910547577328,
      0.525885224588328,
      0.415548160185689,
      0.583275496995765,
      0.336369164333808,
      0.661640708781652,
      0.348026812418896,
      0.231918074091126,
      0.496320548702708,
      0.33504401364071,
      0.599398274799012,
      0.522674043467423,
      0.632413795794368,
      0.3739341970293,
      0.550707649004726,
      0.218442871320631,
      0.334599821012126,
      0.291993755509576,
      0.36344154897975,
      0.217380743984515,
      0.198770474303972,
      0.283708151831832,
      0.607887367179992,
      0.243739522309487,
      0.235503723626337,
      0.303585718680755,
      0.249352747835955,
      0.252252175995619,
      0.336348347350445,
      0.293530216030721,
      0.349558220870162,
      0.136023158673933,
      0.165808671685881,
      0.531522600355154,
      0.258204638351654,
      0.670896561038333,
      0.586020212599082,
      0.584565158220518,
      0.48654314331005,
      0.500099817428877,
      0.266086294181055,
      0.638499753865158,
      0.255856574403494,
      0.194234429874121,
      0.310473066920558,
      0.120705536257486,
      0.152710715890471,
      0.303587580201683,
      0.513279617044239,
      0.418512337297119,
      0.0555762519496373,
      0.402020723351971,
      0.500892424494976,
      0.338438775930761,
      0.351899876737477,
      0.427604970782962,
      0.557713108349686,
      0.329104929739122,
      0.509013788877318,
      0.458082056925973,
      0.595380937008661,
      0.414353568060082,
      0.253038445300525,
      0.508754705779027,
      0.218066756558815,
      0.237679100405759,
      0.116297018379849,
      0.0901919470670425,
      0.494856365722394,
      0.25157220265968,
      0.319730625536606,
      0.56401838538686,
      0.282121665201324,
      0.319412504966555,
      0.421565836096926,
      0.3404978730665,
      0.291489963237341,
      0.309572026937388,
      0.609677226540741,
      0.503247290204791,
      0.382805091563134,
      0.301551019817003,
      0.514994736181929,
      0.347404896127082,
      0.492124860855104,
      0.284111470340583,
      0.452570973477581,
      0.230185192341922,
      0.407733242042938,
      0.452203071051002,
      0.604177226763094,
      0.252115704129915,
      0.294855315954331,
      0.41422978916882,
      0.285145926926699,
      0.387089970140469,
      0.424122219788734,
      0.451804076385102,
      0.354311800580106,
      0.281006366033383,
      0.303328919233911,
      0.496257262621262,
      0.278922792245554,
      0.357903190685603,
      0.430425151699598,
      0.301849583420785,
      0.516943367041679,
      0.227194630966216,
      0.295186839187658,
      0.598643635164025,
      0.428352665922177,
      0.406897483366071,
      0.577678337682949,
      0.304922086300335,
      0.31837744914597,
      0.256488630684157,
      0.254317100226814,
      0.406838099122731,
      0.489254789682485,
      0.296942807459903,
      0.46102343596186,
      0.0925326591164578,
      0.0141504664859963,
      0.465137831563929,
      0.262844441207459,
      0.26748513402492,
      0.314712500471736,
      0.259634204343926,
      0.601433318697701,
      0.305355931476217,
      0.103290229826735,
      0.512256698272259,
      0.323227406317987,
      0.398392334784796,
      0.325625189696095,
      0.352056555927623,
      0.228461388926906,
      0.311842178625461,
      0.45465965147712,
      0.535761402211189,
      0.203527352772846,
      0.179149940917787,
      0.196256995310216,
      0.112321506491657,
      0.271876198106295,
      0.206683323160511,
      0.274024095411959,
      0.533341114610628,
      0.277761142918,
      0.0835139518423749,
      0.388473037109456,
      0.204752884172752,
      0.279660414632708,
      0.188961954897835,
      0.602267463873172,
      0.418162504885264,
      0.457246931242065,
      0.386803144693919,
      0.597905037600392,
      0.335228031612081,
      0.197913215096497,
      0.309875347639473,
      0.236082865325947,
      0.142215759021803,
      0.0511046453004984,
      0.0837971422134534,
      0.360481085751212,
      0.357462562408509,
      0.280530603104321,
      0.370608393445901,
      0.197227070519167,
      0.226749846166402,
      0.550978011606909,
      0.234460688726426,
      0.296161411284536,
      0.218420570693889,
      0.0679909245201274,
      0.59194075875735,
      0.399275390317923,
      0.324360320142208,
      0.200641599902623,
      0.135471237695647,
      0.110081156644731,
      0.362040874798486,
      0.328720743288889,
      0.311879078475689,
      0.119985063177333,
      0,
      0.293430900556771,
      0.440011028140579,
      0.333533387321104,
      0.273383577494609,
      0.179375360380857,
      0.499599133004897,
      0.235217973000343,
      0.214356735278599,
      0.148970081561456,
      0.126164870973208,
      0.127484313129619,
      0.182377603836631,
      0.253554432137707,
      0.175277227288451,
      0.26522313769467,
      0.577491316779084,
      0.127443254476228,
      0.173632491015772,
      0.131880091156311,
      0.306153551794192,
      0.528070496099915,
      0.439609214756256,
      0.388667951621769,
      0.186497587078193,
      0.301209821275261,
      0.400428300726893,
      0.312569287202933,
      0.331976267345163,
      0.431167719334064,
      0.179206084387295,
      0.0571876572957257,
      0.313231918707782,
      0.546157140478845,
      0.147761809147698,
      0.350661392564916,
      0.234459517743407,
      0.180982883297902,
      0.0558802058492998,
      0.307060927743004,
      0.354423862634887,
      0.46000433849444,
      0.158454012548512,
      0.416160096781602,
      0.262542335464613,
      0.127283490107631,
      0.0788709663683914,
      0.230216275636779,
      0.264532155852428,
      0.346678696812755,
      0.173655313349024,
      0.16902584238624,
      0.445535219513404,
      0.0902491985565144,
      0.337518031833224,
      0.524744487930774,
      0.318562344078173,
      0.260343100090077,
      0.227680671233857,
      0.212120995330685,
      0.192606055254726,
      0.17593555885395,
      0.117153378980427,
      0.600684001967863,
      0.268211371381021,
      0.378747125714829,
      0.473614865820617,
      0.262277564631707,
      0.253209141376443,
      0.197425293060399,
      0.23819382954751,
      0.419715704690207,
      0.559901911112349,
      0.26152310257633,
      0.517800898518623,
      0.322779658350824,
      0.322277272730201,
      0.331812993686003,
      0.426057866995677,
      0.224950096441878,
      0.335586948779403,
      0.274046618835542,
      0.580950513295915,
      0.216939069064844,
      0.0652343707582902,
      0.213818997987528,
      0.0748337316869313,
      0.0479460790828392,
      0.405997679120801,
      0.130766061060648,
      0.615900944773763,
      0.52267835917166,
      0.215294483867821,
      0.510247609865312,
      0.150740198749176,
      0.505915899625307,
      0.146065821763496,
      0.137556720672705,
      0.0363104983572565,
      0.0732628450734622,
      0.268228415296399,
      0.553223734399721,
      0.156475052080829,
      0.232025356272921,
      0.348677390973662,
      0.425168476813689,
      0.51577795922826,
      0.230790545818677,
      0.331488073158644,
      0.175791527692983,
      0,
      0,
      0.568941452201716,
      0.183778209476165,
      0.0902556091192954,
      0.168248409997844,
      0.133413666850704,
      0.190306562039317,
      0.362460332180897,
      0.0357420892015996,
      0.463371986030902,
      0.0647034046422854,
      0.193297203686772,
      0.347807929546827,
      0.218063432580612,
      0.297351705322207,
      0.0918482894852639,
      0.337088379017159,
      0.593226439812402,
      0.342300383447412,
      0.275439314692895,
      0.643890347891951,
      0.404860922473109,
      0.204847730672091,
      0.316790736061973,
      0.156526741277384,
      0.143715349267967,
      0.0514491563900464,
      0.331336085602507,
      0.35872403665038,
      0.0463035517916689,
      0.290594132602255,
      0.474994040660598,
      0.308708086182897,
      0.524312966697445,
      0.45617691711497,
      0.160961330905278,
      0.211842772566482,
      0.347756768451287,
      0.442110490017076,
      0.593650161185861,
      0.478230358631035,
      0.106239461137798,
      0.280335327149829,
      0.149228151753839,
      0.369227369756998,
      0.217843210511255,
      0.119076968591305,
      0.175648987916477,
      0.44387059691364,
      0.351425584139331,
      0.556069719335602,
      0.210431587270922,
      0.25820568795102,
      0.319520697094836,
      0.187949425643311,
      0.176085157052873,
      0.138780200966657,
      0.128518949732304,
      0.553001062394074,
      0.273168613818077,
      0.184761489837099,
      0.48075384458307,
      0.309605089548098,
      0.552638663290809,
      0.571653852911238,
      0.564138555012961,
      0.285352153016706,
      0.349587584279534,
      0.197974658484478,
      0.555059440259316,
      0.287628892320824,
      0.243806256757914,
      0.20115417990114,
      0.144470327065541,
      0.119057016710846,
      0.194069792980804,
      0.38751240976265,
      0.458662705670072,
      0.145926796877071,
      0.481878608495287,
      0.390589047657965,
      0.307074415849676,
      0.227126479547464,
      0.359207300331568,
      0.51469732259394,
      0.364928121387139,
      0.436160515332096,
      0.210213843341393,
      0.591252453420662,
      0.411601145937726,
      0.319149184734824,
      0.29604283446847,
      0.265255933920666,
      0.285623435795595,
      0.170152553847773,
      0.211675462144568,
      0.581035540375813,
      0.261820507819653,
      0.321160581519617,
      0.44256179289794,
      0.242581564061598,
      0.104963730169664,
      0.230098288241985,
      0.265410084651483,
      0.280272639675345,
      0.263367810471232,
      0.432956105493029,
      0.623550065300708,
      0.381038772077639,
      0.139989860309515,
      0.271389430104213,
      0.21560757381816,
      0.352777636831972,
      0.181858686752013,
      0.310554394170054,
      0.155516931068044,
      0,
      0.344280975464064,
      0.537550563009991,
      0.192548555036091,
      0.265886509871923,
      0.360046719738813,
      0.22637521768174,
      0.324862290592452,
      0.247968966777279,
      0.344254414351325,
      0.545190662191706,
      0.103090928719199,
      0.366679256578169,
      0.492981188045971,
      0.287748368761185,
      0.201802639772382,
      0.290776267235775,
      0.290297150742438,
      0.319233125965456,
      0.387366128499194,
      0.258669710055744,
      0.612142230555268,
      0.338169214722829,
      0.368417292057411,
      0.403404161645023,
      0.375057112708158,
      0.162119621343195,
      0.300264191195906,
      0.331450282089897,
      0.460807680817824,
      0.233278596659064,
      0.189821385701556,
      0.335573220024277,
      0.0176949617211402,
      0.0498501297974558,
      0.338429899375678,
      0.248186450294303,
      0.439765977389079,
      0.361572966240371,
      0.291226298076795,
      0.578555601295028,
      0,
      0.165022546381937,
      0.199857353053083,
      0.159452917934851,
      0.179097403970593,
      0.0909092865827504,
      0.115631062695636,
      0.552741366789236,
      0.261381014347435,
      0.0271898074028786,
      0.433121699126298,
      0.604040899447396,
      0.40224956180817,
      0.420697011174451,
      0.460799805488303,
      0.275059174559197,
      0.0663175057081047,
      0,
      0.606883996550454,
      0.220796590998618,
      0.102148674491714,
      0.227584453893807,
      0.141299495790118,
      0.17827298319674,
      0.267546705371583,
      0.376390848392763,
      0.121391300324384,
      0.329119684507603,
      0.638591386108512,
      0.513749810194822,
      0.166590156562389,
      0.22770610848024,
      0.223556532467362,
      0.432629794684356,
      0.470159076986436,
      0.242481884921233,
      0.298051162523897,
      0.572200976113619,
      0.354185741325983,
      0.261612099389731,
      0.355355432423986,
      0.180290155360811,
      0.120612992041534,
      0.190931990968158,
      0.219136472542753,
      0.409600526945837,
      0.386214712897944,
      0.217766874660857,
      0.602996918525739,
      0.316275115892797,
      0.46596048466843,
      0.430080047969939,
      0.163253449813862,
      0.371138157083129,
      0.150041617834426,
      0.493666736749804,
      0.459269217290228,
      0.386869547620502,
      0.486162754463296,
      0.555416555191826,
      0.236289883140155,
      0.367275453192489,
      0.205477448468,
      0.207829714868601,
      0.197021481723553,
      0.216899045877284,
      0.398847339265019,
      0.628009653135629,
      0.176476047964027,
      0.253502600975434,
      0.263079388752161,
      0.125731532330577,
      0.252333257257088,
      0.109897306106652,
      0.238229938621822,
      0.360857368143304,
      0.275220989428535,
      0.252149746326931,
      0.488846704392578,
      0.336656845241803,
      0.516657981781393,
      0.55282301349958,
      0.594247496225166,
      0.363160311132046,
      0.32642838994509,
      0.242747890160385,
      0.584102085220627,
      0.204592255212455,
      0.291338342266143,
      0.250787470080104,
      0.144529355643864,
      0.182290406236625,
      0.263126518201856,
      0.42500139359063,
      0.419890172150494,
      0.0818287623865324,
      0.30633513094268,
      0.485381287941994,
      0.202041634486177,
      0.25313562365208,
      0.515164296899047,
      0.427925040937735,
      0.251049557440522,
      0.564200082985723,
      0.257178499102353,
      0.555286588651189,
      0.365768905340435,
      0.354833466278301,
      0.379687582611008,
      0.161121560326173,
      0.283984019818518,
      0.181836300510381,
      0.0747497795387183,
      0.529072463263888,
      0.306415306575487,
      0.312332911220947,
      0.532612437196504,
      0.349544541407206,
      0.163306325708496,
      0.322087737489432,
      0.244788040287608,
      0.154691888078116,
      0.292578394463939,
      0.522367035696397,
      0.466684713928162,
      0.371688486505237,
      0.188434730381275,
      0.553145684903729,
      0.26066102710471,
      0.41499236376939,
      0.214243100655215,
      0.43286637577065,
      0.261351948393079,
      0.312273181429552,
      0.417977247297631,
      0.627951748083759,
      0.287801513058921,
      0.243891363190651,
      0.401906446541744,
      0.358614868430857,
      0.346108495019495,
      0.252147550952173,
      0.272950642892218,
      0.311901997653981,
      0.109761039261052,
      0.318387127027041,
      0.476500148978461,
      0.264564437629328,
      0.234012999281788,
      0.31276814516979,
      0.384720288952028,
      0.364833164343278,
      0.218996623994799,
      0.282252547224962,
      0.600954428411586,
      0.33541461115624,
      0.395490275545687,
      0.559570462149088,
      0.303321093241425,
      0.234166648461983,
      0.311725319342869,
      0.370094695169656,
      0.204482626617217,
      0.150312546602808,
      0.183620142409125,
      0.414553011812665,
      0,
      0.0216232047619327,
      0.428018988981548,
      0.14224496926204,
      0.282509625113038,
      0.231674149770045,
      0.233145042663075,
      0.567958487559073,
      0.313504593419072,
      0.145468424545671,
      0.430816910911067,
      0.298508115958575,
      0.33369997435304,
      0.173168035100777,
      0.507866904028441,
      0.264666239079703,
      0.362754057543741,
      0.45853165817189,
      0.556471548900462,
      0.14865137329559,
      0.0955698808837787,
      0.113834690096596,
      0.0893500846540603,
      0.20023650521481,
      0.155693209702811,
      0.188855198511245,
      0.482577656199481,
      0.27456772588253,
      0.112908567558892,
      0.340507592773043,
      0.168612838297249,
      0.223002245617845,
      0.236321305196149,
      0.622884642529679,
      0.413832133527575,
      0.45606886535313,
      0.252730098855502,
      0.583959059439409,
      0.396348760482334,
      0.224805001214578,
      0.191204857449866,
      0.170635439916659,
      0.209557259707656,
      0.0354186922747336,
      0.16973943003649,
      0.335906930283464,
      0.385249170335287,
      0.265994406629894,
      0.359287806632345,
      0.131859773526762,
      0.284649425502388,
      0.493409290631479,
      0.119268984632378,
      0.177595315188652,
      0.14610292628803,
      0.169150241532191,
      0.604758452577903,
      0.240793411381493,
      0.181887272406918,
      0.215756939976384,
      0.17458534020948,
      0.235605955316221,
      0.335283818031756,
      0.156202776914624,
      0.132109245799159,
      0.21596626164907,
      0,
      0.261272714904884,
      0.318856787474975,
      0.145621445251412,
      0.158285461204046,
      0.0571910186661422,
      0.397788548627678,
      0.268380613923683,
      0.187447141942581,
      0.198517287554946,
      0.175694704838589,
      0.14527481543779,
      0.177523676223446,
      0.0987610775665081,
      0.174630168235902,
      0.304217470812981,
      0.419308204596648,
      0.0687549200415923,
      0.279817609431671,
      0.140628260877311,
      0.356118539663789,
      0.324178136508651,
      0.240881327852755,
      0.281324840482126,
      0.0826398796459089,
      0.224791424711376,
      0.154182600999026,
      0.29637825492449,
      0.273183036641849,
      0.393467009162825,
      0.211864579657198,
      0.0890553897036489,
      0.342036901726384,
      0.446306915503187,
      0.146489138960611,
      0.295476173863249,
      0.206580258799627,
      0.249247310562636,
      0.0530950398470264,
      0.176504610647402,
      0.224367362535946,
      0.316251284170379,
      0.284612330965215,
      0.423112471497194,
      0.231631500153628,
      0.0885283677849463,
      0,
      0.230544299277026,
      0.154309368904905,
      0.361123034241828,
      0.187924543534802,
      0.35409499425903,
      0.488764006648116,
      0.089258994053586,
      0.336776484646219,
      0.429868317661113,
      0.374742900347426,
      0.25845711859002,
      0.169957337817868,
      0.125320373945936,
      0.195950719208738,
      0.208055978751023,
      0.227794817134218,
      0.647333913909222,
      0.0856379699325853,
      0.421790130771656,
      0.309818698336045,
      0.251317001583804,
      0.208143095954825,
      0.230522637435473,
      0.28641345542245,
      0.36981512026036,
      0.444911121695381,
      0.286827452633176,
      0.52826761923296,
      0.122601417077488,
      0.368799940324712,
      0.309376825491124,
      0.416754371341409,
      0.192853458279116,
      0.374062558259136,
      0.20755735108045,
      0.599796655991957,
      0.236595438390205,
      0.123701836030656,
      0.263414313199488,
      0,
      0,
      0.422140406934712,
      0.141962140038154,
      0.351665607805294,
      0.520762962975557,
      0.186267370712352,
      0.519086579902331,
      0.140891917527877,
      0.418988623777495,
      0.205651022705281,
      0.166620872326335,
      0.0382354669419721,
      0.00523158932560775,
      0.28541455774526,
      0.552865832548755,
      0.182154695668004,
      0.157302967342971,
      0.372506291755144,
      0.326320120919963,
      0.514755085388897,
      0.326670715538256,
      0.268518887267307,
      0.146594262248589,
      0.082041751216777,
      0,
      0.571988505511754,
      0.203732911904307,
      0.120753521750478,
      0.256055892429971,
      0.11039535978804,
      0.147180010928335,
      0.350669960945631,
      0.0930523367136905,
      0.503307291395751,
      0.0220872102180988,
      0.134500915088011,
      0.363138811513011,
      0.205352174902118,
      0.269670996097929,
      0.204675341260844,
      0.382298566774371,
      0.550853940583396,
      0.31695855568304,
      0.307657360812128,
      0.632909454147126,
      0.412251593721402,
      0.264406653974657,
      0.293368316765632,
      0.130532259703636,
      0.0583282697068845,
      0.0487817446745841,
      0.268478203988545,
      0.328345853087165,
      0.0617613741260356,
      0.298886957349633,
      0.473957495320061,
      0.314624602539892,
      0.418308903010881,
      0.495582924359983,
      0.111691888046234,
      0.214250095170478,
      0.192059548992026,
      0.440185490063813,
      0.660655885300071,
      0.477759875695327,
      0.127019970978426,
      0.401313352271567,
      0.169555703996752,
      0.318723209662109,
      0.133876741159835,
      0.104392633876628,
      0.19236728949278,
      0.453615457603649,
      0.39909557353017,
      0.573622366528697,
      0.250392090498938,
      0.241618985972319,
      0.364232869726075,
      0.258881064643193,
      0.189843902882426,
      0.194759199153999,
      0.0653705566297212,
      0.566579655330312,
      0.239137119619104,
      0.171284145760126,
      0.44054733434836,
      0.279896792524424,
      0.411732455991097,
      0.506959257953318,
      0.41021945181683,
      0.297085319214534,
      0.227176924141231,
      0.110369709645756,
      0.578498661705692,
      0.186060789597115,
      0.257971811077911,
      0.244796222673989,
      0.182527795325286,
      0.15806817915915,
      0.170647774475149,
      0.274743520257562,
      0.488252740219351,
      0.132044352865425,
      0.260529244223721,
      0.411338591832664,
      0.336453349998619,
      0.256830131274649,
      0.375259713028984,
      0.385373981942468,
      0.289096629507259,
      0.454092662537712,
      0.177622363077346,
      0.583313482026337,
      0.169342915630866,
      0.306735302752784,
      0.319356005464174,
      0.280771248932014,
      0.270473230449034,
      0.240823672943768,
      0.225234144231952,
      0.539382757201994,
      0.219441755053859,
      0.27116367133176,
      0.439791925615892,
      0.316423543849835,
      0,
      0.223281326838769,
      0.33470793117071,
      0.226434693190529,
      0.311604985333052,
      0.304180809449652,
      0.594114142718637,
      0.38445756049224,
      0.13826613174142,
      0.246179057550252,
      0.108583421458768,
      0.381438623468833,
      0.210917695830167,
      0.375677667462483,
      0.145361068558365,
      0.0327510751238669,
      0.398103561068437,
      0.555310920437114,
      0.120384896629204,
      0.244638925296048,
      0.228644054921971,
      0.20359770347155,
      0.317692844066468,
      0.243102143750036,
      0.268858944152555,
      0.588756605057727,
      0.0712747671579586,
      0.345712060440468,
      0.352445153923238,
      0.348441787749232,
      0.26223419523206,
      0.222449498750992,
      0.280772138686752,
      0.14300897037353,
      0.37036175814456,
      0.262741571984375,
      0.611348356922629,
      0.11904917957961,
      0.358040200661923,
      0.286934627922937,
      0.296723620216315,
      0.184964571494048,
      0.274535592076999,
      0.267792158063647,
      0.500109605172107,
      0.271164435218253,
      0.143146587086124,
      0.398659842635896,
      0,
      0.0145387733544502,
      0.383373262415403,
      0.264690920696631,
      0.353617074272796,
      0.501159218955113,
      0.271085720033716,
      0.627742223639251,
      0,
      0.129595513407082,
      0.266820703942903,
      0.156166411179766,
      0.0292003826272949,
      0.139177573725756,
      0.306028422852386,
      0.392975834270501,
      0.32730706549465,
      0.0657525308665728,
      0.479699069134915,
      0.511811115711812,
      0.322889169389672,
      0.422021555009263,
      0.58551719894915,
      0.200723410123459,
      0.113809419105144,
      0,
      0.619270373419671,
      0.0937277971519729,
      0.127423129316498,
      0.286958877896695,
      0.195303404358394,
      0.127476625358833,
      0.25867275577315,
      0.353177325438084,
      0.11659781521532,
      0.363103343499356,
      0.582882148608576,
      0.552469372465497,
      0.144444659846041,
      0.204420342252523,
      0.283246109399172,
      0.28639960278263,
      0.323181172894575,
      0.301338926246949,
      0.310059360107151,
      0.562405293331981,
      0.362210201438452,
      0.205341568766315,
      0.300759763798141,
      0.152861884643414,
      0.201361327227272,
      0.196259073842026,
      0.199332261735576,
      0.260422274292174,
      0.463222770481657,
      0.222050964950184,
      0.62951282807076,
      0.319004938260999,
      0.267934798866271,
      0.487789014408362,
      0.153122949391269,
      0.45470551147742,
      0.187961535710426,
      0.499253177209968,
      0.544512602075259,
      0.403252747587867,
      0.536151871053742,
      0.54129185150295,
      0.294290498443383,
      0.320307756385695,
      0.129217138899915,
      0.172078053631333,
      0.143209809354588,
      0.269378626962669,
      0.480671766039434,
      0.606782371979818,
      0.217213299901401,
      0.225245602977463,
      0.280010076784847,
      0.0711400486871009,
      0.198097231663454,
      0.198925889568596,
      0.147124474726594,
      0.360639944004463,
      0.208942793702647,
      0.211919375341863,
      0.470508320672482,
      0.31278497395586,
      0.328591635916267,
      0.583726141162628,
      0.515787661888539,
      0.360783622234819,
      0.211059453344968,
      0.129672961182268,
      0.629555583858526,
      0.191869745259603,
      0.246160563059709,
      0.277335388693636,
      0.197877705854421,
      0.174213876579894,
      0.253819121909157,
      0.334282765695993,
      0.242342336984556,
      0.111319895782564,
      0.121860677460629,
      0.521404431879679,
      0.228117541821479,
      0.240501663184443,
      0.546288080925629,
      0.330335770996149,
      0.196823797475196,
      0.510831100197912,
      0.163909248417885,
      0.560274867922053,
      0.232272417951531,
      0.281988964511129,
      0.308049452334113,
      0.265845754124971,
      0.293245902057932,
      0.134859429904096,
      0.188084228901622,
      0.474677663188097,
      0.314441541923304,
      0.200225084715585,
      0.594381340445959,
      0.35967405421885,
      0.117299340596862,
      0.301264584428788,
      0.264248045651459,
      0.162300720205349,
      0.311006905002664,
      0.36291922286706,
      0.503719663806025,
      0.351004262256776,
      0.0844995300800437,
      0.518935552905334,
      0.23652923113506,
      0.33234241010021,
      0.201023164810514,
      0.41288467240487,
      0.219239202346657,
      0.124754143094453,
      0.360464011308297,
      0.610850424037834,
      0.271462046538737,
      0.272306393179935,
      0.309851716806701,
      0.317667606953276,
      0.382020295486898,
      0.240236793177319,
      0.101492674940986,
      0.331660402412755,
      0.114222589989701,
      0.339519741605413,
      0.479181149169337,
      0.275165544784656,
      0.285509160005505,
      0.195172150097142,
      0.465740714359391,
      0.171560475125612,
      0.199981316610814,
      0.328520785144558,
      0.588668092630754,
      0.109694012713096,
      0.389027968556261,
      0.370683109648184,
      0.307715543925052,
      0.187519774749352,
      0.269467718000639,
      0.280652419381959,
      0.109189578769396,
      0.271212513761454,
      0.178580814208249,
      0.45014186429438,
      0,
      0,
      0.392616293205674,
      0.201793304651372,
      0.35417018112175,
      0.279154800797247,
      0.226789625220868,
      0.599788248689639,
      0.342954795282178,
      0.114230848603789,
      0.37693046757142,
      0.136259340166982,
      0.329271815133616,
      0.0757338020939866,
      0.494977251997794,
      0.243828498768056,
      0.303729309301457,
      0.368463205100881,
      0.560970939257776,
      0.0474883382569288,
      0.152116099733691,
      0.242797750429491,
      0.106838885601935,
      0.173434715428423,
      0.214761112416227,
      0.171109143081087,
      0.503182025063869,
      0.287981391348165,
      0.0994121917823436,
      0.342964298743837,
      0.188331256869497,
      0.304751021029318,
      0.147620250236798,
      0.42595495013636,
      0.330405445372238,
      0.279486709495314,
      0.227102234800651,
      0.642937359596165,
      0.241246449567776,
      0.249615387879275,
      0.317283090983356,
      0.0999285624214826,
      0.374891679968433,
      0.0472254362674396,
      0.237377674418366,
      0.358165448738867,
      0.482786878477537,
      0.278390196937783,
      0.416008835018152,
      0.0480875496104964,
      0.290637724823894,
      0.357323126329247,
      0.08057165506013,
      0.162219301824921,
      0.151236221080735,
      0.195003793428921,
      0.590024006337951,
      0.407662121717994,
      0.14507440625649,
      0.243940207389457,
      0.116643104399537,
      0.270349849545575,
      0.367952374122052,
      0.318821924319188,
      0.116964374437813,
      0.178804495781794,
      0,
      0.478711927862136,
      0.282985371885188,
      0.19323932024494,
      0.287765257449168,
      0.0440898634294118,
      0.338169545105859,
      0.23370258490024,
      0.305695148004374,
      0.0960383571960016,
      0.0885810271009589,
      0.201263956868627,
      0.309290957922034,
      0.155999188591269,
      0.119441526802683,
      0.458155715174266,
      0.186101199756861,
      0.0658092291159105,
      0.429410999132619,
      0.156901358248493,
      0.394006604664247,
      0.403098062697309,
      0.238613890195908,
      0.456333901563492,
      0.154707430958133,
      0.181603445317815,
      0.118122032528499,
      0.298983168517367,
      0.222071930003338,
      0.430660160605719,
      0.268996755771098,
      0.15227737672713,
      0.335101046107085,
      0.359140334782216,
      0.2347347874821,
      0.32369209967367,
      0.180402910111107,
      0.442606603379112,
      0.0968271558407566,
      0.204533407067346,
      0.327391161296488,
      0.214922968527391,
      0.346083712503909,
      0.446534969772728,
      0.272541921432142,
      0.262650094761122,
      0.0714164528893623,
      0.154501881186936,
      0.254006900625527,
      0.390806298587681,
      0.191980620040118,
      0.382158809536253,
      0.462485327502239,
      0.217610519905028,
      0.372928787898776,
      0.386683040404933,
      0.416876507927553,
      0.230447335104666,
      0.115332324326609,
      0.0892071233708063,
      0.219583142925075,
      0.309437956561545,
      0.152034171091932,
      0.588260484476432,
      0.195799676701029,
      0.396022292720281,
      0.266069673277093,
      0.226657791782635,
      0.200464981763342,
      0.200211449464116,
      0.320733755343213,
      0.363363168989696,
      0.264402563603784,
      0.327869274943787,
      0.542430406078373,
      0.203787347263064,
      0.360036978453118,
      0.310601696169068,
      0.320607945091947,
      0.129640196330887,
      0.314807734343855,
      0.144433302200888,
      0.547918367082669,
      0.288320749372128,
      0.0785289741652849,
      0.245305458529982,
      0,
      0.134998773091083,
      0.352254883649331,
      0.106001417733957,
      0.207672849294558,
      0.414299175904063,
      0.411252694347918,
      0.550845248950366,
      0.0671911800852398,
      0.365399843311236,
      0.132095749968575,
      0.211177505027986,
      0.0492437442523657,
      0.177836166091179,
      0.270978032017396,
      0.533518488684146,
      0.448617385505694,
      0.415236978853573,
      0.342625509738737,
      0.326328342152594,
      0.476387774499413,
      0.377771189658928,
      0.260669169154558,
      0.162801698102427,
      0.0725794902232999,
      0,
      0.553963150664148,
      0.170798212172292,
      0.23048019908851,
      0.19241429922758,
      0.112352499578957,
      0.12677211472231,
      0.322512743015249,
      0.0424536251727651,
      0.482870976506623,
      0.148344172015133,
      0.182624184372159,
      0.387361677690909,
      0.380188086427732,
      0.31715812654158,
      0.177510381811562,
      0.386041705425324,
      0.432879456222171,
      0.343880364802567,
      0.405678080764006,
      0.581776583570682,
      0.396674749109868,
      0.418201865749622,
      0.280998273617393,
      0.159607473936042,
      0.14411071490425,
      0.25813908840302,
      0.255502988571919,
      0.338801584335534,
      0.128305224387807,
      0.309763895957685,
      0.502067381825675,
      0.577251474942508,
      0.301970781149368,
      0.469371200592605,
      0.150793624288841,
      0.179808281616389,
      0.205857519526115,
      0.583503677435467,
      0.617563139038661,
      0.383321027531416,
      0.354220614440423,
      0.365257326588807,
      0.259002955897989,
      0.340746883575842,
      0.0635593620032873,
      0.112034374651158,
      0.229349434821333,
      0.346869645562575,
      0.363532313266447,
      0.57525615858279,
      0.390304467970957,
      0.317782270085495,
      0.545873282489884,
      0.200253153126435,
      0.229006079161424,
      0.153647594556899,
      0.0826704732090569,
      0.527376858589784,
      0.133615850513281,
      0.110188759314434,
      0.418169997688544,
      0.244923545430864,
      0.387547410960522,
      0.540554919413707,
      0.314313381054798,
      0.266121928284865,
      0.333947588211026,
      0.0543891660489017,
      0.591007871406219,
      0.11171935018084,
      0.290725103624058,
      0.182971904440539,
      0.195617669919622,
      0.138081068218425,
      0.265326466775022,
      0.205462661709095,
      0.463436220823157,
      0.31199895734113,
      0.199787525853265,
      0.395310790008165,
      0.451117704767994,
      0.213050849697761,
      0.485940109579452,
      0.372976427888151,
      0.294458675855438,
      0.465612140561879,
      0.202889933403719,
      0.570501549138055,
      0.167712591193711,
      0.277567067516536,
      0.287135639837108,
      0.34716979214241,
      0.327314327621571,
      0.250570227218571,
      0.245880190628887,
      0.392218265630643,
      0.288895086903835,
      0.207405542722618,
      0.448793891319204,
      0.494599068192831,
      0.124099029001912,
      0.239752036748835,
      0.335412060100533,
      0.223958195999648,
      0.32169404866424,
      0.312956669515391,
      0.586835961302704,
      0.387596901210695,
      0.175645958256091,
      0.206909536039723,
      0.179043673251572,
      0.389177234086146,
      0.134638269151037,
      0.431416569717511,
      0.305877145718233,
      0.256605221276275,
      0.388301996671896,
      0.535491386209031,
      0.285353314614055,
      0.257989233625548,
      0.19488389554138,
      0.19104521869933,
      0.34200202963905,
      0.275520030351843,
      0.200810873270751,
      0.535766232002662,
      0.211921160181384,
      0.340688502735128,
      0.366980132676704,
      0.316912361505767,
      0.241685389862639,
      0.250283676796755,
      0.392378289945022,
      0.128856165298817,
      0.389645904314581,
      0.30658380235483,
      0.562391086776089,
      0.171813551248331,
      0.388232032312035,
      0.25494141245307,
      0.244768227274731,
      0.145543297874041,
      0.168651908588142,
      0.108910135252591,
      0.472289919521868,
      0.250031427245928,
      0.127881915808725,
      0.384116428592931,
      0.0181387673180169,
      0.140193078488407,
      0.370827765532833,
      0.27491817847419,
      0.275093896237619,
      0.576053906804262,
      0.317146413824159,
      0.591544034683163,
      0,
      0.17178643938505,
      0.207465241561229,
      0.159007459074791,
      0.101344931163958,
      0.188591279056297,
      0.218652761910731,
      0.3600773758752,
      0.425789476789415,
      0.247246774826273,
      0.492824813593793,
      0.493265570375653,
      0.179894015885494,
      0.56199179302518,
      0.626244253883189,
      0.13033722050873,
      0.079969656521192,
      0,
      0.57621275674127,
      0.137548124083106,
      0.369864052035927,
      0.277667933330668,
      0.169476570165124,
      0.137540682348381,
      0.304507981587303,
      0.316550408225604,
      0.135613208401991,
      0.350492012855895,
      0.563299510601811,
      0.554264783327406,
      0.366510520864252,
      0.27134095646775,
      0.246325086429889,
      0.287524296592189,
      0.244136446246697,
      0.331057566621125,
      0.388879679767326,
      0.543776219173453,
      0.400079445081414,
      0.208147065174522,
      0.293172369889592,
      0.132277541815666,
      0.47441680561182,
      0.211122342682546,
      0.135139645733273,
      0.33831195286084,
      0.416664982438177,
      0.246795813768517,
      0.602407644273805,
      0.584101786066932,
      0.270706084148312,
      0.360715500711418,
      0.246481284990684,
      0.389391904198035,
      0.290556282149984,
      0.502724892091993,
      0.542333634632012,
      0.427069105225931,
      0.574817255235631,
      0.500564843999743,
      0.418255344900832,
      0.306187765465273,
      0.0798347098635763,
      0.220615538596469,
      0.172909380096609,
      0.211746450154487,
      0.375232212749712,
      0.566269277237236,
      0.398459348767796,
      0.300428349158126,
      0.338002508917917,
      0.278708737715406,
      0.253828977574578,
      0.160539167219304,
      0.225658545405451,
      0.355908870467354,
      0.0243412581304044,
      0.139360182696582,
      0.467316317892717,
      0.252633285889177,
      0.276926387566865,
      0.582809045783816,
      0.333253934522662,
      0.348829406116696,
      0.288406981671334,
      0.105148311803107,
      0.554182844693532,
      0.191231960927562,
      0.251663765487623,
      0.265312468038563,
      0.166711269648893,
      0.202138635971368,
      0.269638414738011,
      0.280939213709973,
      0.223810991931323,
      0.323996701218898,
      0.123513046283153,
      0.527695868359493,
      0.425570063966242,
      0.230101552119887,
      0.56842539659105,
      0.321839191746079,
      0.216063378152141,
      0.470102241337371,
      0.21128296413317,
      0.523916350284976,
      0.168565291575608,
      0.134911946323625,
      0.28607397728318,
      0.275354923351635,
      0.317637894690738,
      0.155157841229,
      0.197377954299108,
      0.334279500393257,
      0.383147750311829,
      0.20088585666696,
      0.591718380203156,
      0.52280318694734,
      0.183390259656621,
      0.246967574405136,
      0.345189760337653,
      0.168908888370657,
      0.385362965867616,
      0.348034711662539,
      0.48548705524287,
      0.373437312573936,
      0.102821452129045,
      0.574020444053931,
      0.325277483979047,
      0.368451987851906,
      0.298054593142622,
      0.332493482563316,
      0.330765758129706,
      0.271675908315585,
      0.343108428634438,
      0.586324380549235,
      0.248938038024103,
      0.260447684380748,
      0.25849939239635,
      0.311072089227458,
      0.340072521333272,
      0.281863296684607,
      0.193105972305563,
      0.340009329256945,
      0.21202556382405,
      0.266542585837769,
      0.491207722766753,
      0.290627873945975,
      0.265872943752196,
      0.281720485817899,
      0.527709156869905,
      0.16477883421286,
      0.32309523931506,
      0.311835309333364,
      0.569633942248203,
      0.24863485833819,
      0.381238979842968,
      0.26139656455139,
      0.268098660167984,
      0.178479520240695,
      0.179976748855817,
      0.225033694745139,
      0.131480373635809,
      0.244707143539132,
      0.132194613910843,
      0.545513474813059,
      0,
      0,
      0.375944912921043,
      0.259433473707638,
      0.405008135917318,
      0.324935120721855,
      0.293858681462705,
      0.536815921329389,
      0.444887761646625,
      0.215621834780287,
      0.393394843702171,
      0.0773666584379917,
      0.329480220123011,
      0.222025748186579,
      0.398363798219873,
      0.210726521322456,
      0.256657564984651,
      0.30861100712325,
      0.541648824903461,
      0,
      0.143250949971724,
      0.203411292743732,
      0.170865375294219,
      0.164014883683291,
      0.221886330982896,
      0.332553936006233,
      0.470325201330043,
      0.333569816453185,
      0.276289302051745,
      0.304156530889405,
      0.319814243750769,
      0.333926885867301,
      0.0363343898011572,
      0.259817969924607,
      0.252268601834912,
      0.11029858266545,
      0.17398565157544,
      0.587106820262084,
      0.164551358267502,
      0.36576557662853,
      0.237319429711641,
      0.083098619994262,
      0.486263713367623,
      0.0675874463050339,
      0.168254362097638,
      0.357437414634465,
      0.538832365256022,
      0.263945473352484,
      0.403627616783052,
      0,
      0.353102725222956,
      0.380502242329157,
      0.194233738557112,
      0.268785923048839,
      0.202338637690814,
      0.0554054372998223,
      0.581517674059102,
      0.530541416889505,
      0.155332277297629,
      0.183789371238522,
      0.0766831404970994,
      0.257011696957137,
      0.505655623343292,
      0.23237447083421,
      0.0955021648625053,
      0.193803966908962,
      0,
      0.51347056479759,
      0.217611783570682,
      0.15472744754728,
      0.213152986505228,
      0.0572341816505772,
      0.251601539506425,
      0.215189939451589,
      0.368174581085128,
      0.241496637723231,
      0.0292760900818415,
      0.229840426294925,
      0.41240422822422,
      0.209773276183758,
      0.0742086595407448,
      0.510035640666662,
      0.254212637961015,
      0.0836670244115244,
      0.427415086155341,
      0.214722393440273,
      0.409550384614911,
      0.402907631586511,
      0.289503153039184,
      0.478571704606175,
      0.138489468107696,
      0.175636713139355,
      0.14593987575227,
      0.301437159201225,
      0.19667643603871,
      0.45479721077847,
      0.296665621878761,
      0.317010692064836,
      0.342577877057195,
      0.327604261426002,
      0.248787739425948,
      0.508554600029125,
      0.256949794144955,
      0.530020402154771,
      0.255230190699405,
      0.335933765732431,
      0.28363699437765,
      0.296760398498082,
      0.328660321152445,
      0.42818745851974,
      0.242549136934427,
      0.293975593942999,
      0.0812032706785229,
      0.168089036917456,
      0.309279180083278,
      0.367820637348926,
      0.0959382703798715,
      0.360647329233892,
      0.522181798721533,
      0.169773839520793,
      0.352767173183246,
      0.391007419537353,
      0.383125487367628,
      0.230715188858451,
      0.0194208736106495,
      0.0840316575069811,
      0.234779672101048,
      0.308864696286857,
      0.107675904957495,
      0.562215731087553,
      0.208619226723508,
      0.306677234683379,
      0.238791132302031,
      0.229348772302323,
      0.233087965172288,
      0.324252456707801,
      0.444433939893339,
      0.42592591818834,
      0.328521502910487,
      0.365046373574945,
      0.471063133208696,
      0.236510369265427,
      0.428622593295577,
      0.289653403032874,
      0.37057036453058,
      0.0715715359523735,
      0.303259690391889,
      0.143695263755164,
      0.567842804354055,
      0.371473710808591,
      0.0324949491038189,
      0.288523080131776,
      0.00155820483931262,
      0.179489483959895,
      0.414249198475728,
      0.0650496569429568,
      0.231954551905086,
      0.338677436801988,
      0.483467404628797,
      0.475984060294695,
      0.0757450148332593,
      0.403096473771138,
      0.183870630229047,
      0.247239787125109,
      0.0857459150757468,
      0.240441586992329,
      0.308932800446018,
      0.560870568927131,
      0.517509528804915,
      0.459350402289703,
      0.357818053875868,
      0.348620233620314,
      0.387138800405604,
      0.39828033199838,
      0.279559239156594,
      0.171562580089154,
      0.105529611593092,
      0,
      0.565273156564431,
      0.255543970063811,
      0.275285908297695,
      0.259548391890473,
      0.210304428820194,
      0.165377548081401,
      0.321531378747999,
      0,
      0.538102296761199,
      0.176637048617292,
      0.164592496549723,
      0.428971642973818,
      0.440791200652816,
      0.366422870552105,
      0.213061904819579,
      0.426723572132912,
      0.326457903825307,
      0.448724685923433,
      0.449736324295656,
      0.621631250940389,
      0.341250987640811,
      0.530990449400782,
      0.312216425741303,
      0.223320696397572,
      0.186487322887949,
      0.307188412507007,
      0.361593657307016,
      0.394517848404413,
      0.140642513180452,
      0.290409250602812,
      0.475076359725777,
      0.630524746866868,
      0.263217844116107,
      0.465903719862801,
      0.212681008387416,
      0.166124777184131,
      0.204837219376875,
      0.622897042324348,
      0.646652309045042,
      0.316707707069621,
      0.404159757794595,
      0.318518185142679,
      0.309996055310656,
      0.344104357836514,
      0.128847525460824,
      0.134893837926212,
      0.229020338365582,
      0.411324778581992,
      0.378026242657306,
      0.541309486502657,
      0.437238038369485,
      0.384988120681654,
      0.623102049913526,
      0.223910575581202,
      0.236591171662032,
      0.0387871420757174,
      0.143569653822849,
      0.554971329907542,
      0.132088481108905,
      0.110500525375898,
      0.51820752176192,
      0.283820190803793,
      0.468521773649603,
      0.51288518192581,
      0.297886526797586,
      0.271018262811455,
      0.274771541847575,
      0.0312341053142351,
      0.510532733748685,
      0.170716446726645,
      0.322119177368233,
      0.312082294770294,
      0.248583206149492,
      0.146724719273714,
      0.366703689003548,
      0.226470681456651,
      0.525081003002968,
      0.409743083979768,
      0.243679888056318,
      0.38690559925786,
      0.517122427631932,
      0.332257047965231,
      0.541279338383536,
      0.371401203404431,
      0.1985169730952,
      0.462109756690933,
      0.174907219173601,
      0.599884904621883,
      0.1833671624574,
      0.285486900471946,
      0.362318435298424,
      0.353471795656239,
      0.279661964768547,
      0.37307065942174,
      0.30814751010113,
      0.525033075293031,
      0.325939779365164,
      0.33722020824806,
      0.421681542134001,
      0.533504393737861,
      0.149389332172022,
      0.270967195027594,
      0.308393916780892,
      0.307915761542128,
      0.338853250793396,
      0.362064417695137,
      0.60272229832324,
      0.27367265716046,
      0.223313950678425,
      0.241277841896653,
      0.211227463657465,
      0.296155313528932,
      0.15864475917562,
      0.362620701715219,
      0.255726514889313,
      0.290895395577543,
      0.282075345215941,
      0.542889274098845,
      0.327809017226366,
      0.242855389840607,
      0.229787609049349,
      0.23031353984455,
      0.347089308852773,
      0.370281696298216,
      0.147946061220866,
      0.571553119247262,
      0.207964347343516,
      0.317497869288315,
      0.363395647407553,
      0.341682236387803,
      0.247576258348708,
      0.38234215857414,
      0.494160494010319,
      0.133860674443237,
      0.445844948342079,
      0.309303379411148,
      0.581828599216619,
      0.223254736782298,
      0.441482775696087,
      0.31484495870033,
      0.28498960846689,
      0.10567867027988,
      0.139600857045724,
      0.117275452131987,
      0.532813631357268,
      0.269586629152522,
      0.112444721006672,
      0.408284012223245,
      0.0544615993344077,
      0.193221979499961,
      0.437021342705077,
      0.299442706814006,
      0.238498354792112,
      0.537122991280174,
      0.337478050838321,
      0.565905442771579,
      0,
      0.233683885097358,
      0.235262385427644,
      0.23152510112607,
      0.192598837691923,
      0.227765216255836,
      0.0311392582319987,
      0.417718030233613,
      0.431048849310029,
      0.320570354066384,
      0.423765647202577,
      0.534727151193507,
      0.196534670799146,
      0.644999235994925,
      0.576403839442923,
      0.180794199563238,
      0.0341687041811077,
      0,
      0.592063424249517,
      0.216818686293812,
      0.425861144300642,
      0.307723945297146,
      0.17806260585635,
      0.171016958728807,
      0.304878436105975,
      0.318434403997177,
      0.144566559125284,
      0.307148431764315,
      0.568119820559503,
      0.515139595220227,
      0.410386136094676,
      0.306386244945065,
      0.299948029007024,
      0.234742834797186,
      0.235324273235499,
      0.321933165842053,
      0.448151972215348,
      0.577805336290993,
      0.320142820755893,
      0.10669809849407,
      0.343317239785025,
      0.0781568051470563,
      0.523866469584836,
      0.245939543451211,
      0.251898815635217,
      0.366038980661201,
      0.422069306504054,
      0.263231586933808,
      0.609603267098829,
      0.638027313036058,
      0.295497800419756,
      0.351308978039792,
      0.297499977760429,
      0.228975198692632,
      0.338138221407266,
      0.3754273314194,
      0.573336466412508,
      0.424014981628575,
      0.620051986320067,
      0.523356268567792,
      0.483304086095861,
      0.296135273572499,
      0.138087378466076,
      0.1868955591888,
      0.212749874933687,
      0.243898850977433,
      0.387110780912545,
      0.590431343821913,
      0.451771851973258,
      0.375348962280328,
      0.365483602451999,
      0.330665098521273,
      0.253106440136864,
      0.084221401092618,
      0.248359667922955,
      0.429136010189863,
      0.0182657977124911,
      0.0789995815881437,
      0.475698829806978,
      0.287756184709782,
      0.253097635384751,
      0.458377957391509,
      0.368788822434041,
      0.329547971708195,
      0.300791889812862,
      0.0361228565868341,
      0.563835002972725,
      0.1562069210595,
      0.290639204002749,
      0.369774227708764,
      0.143055561405555,
      0.190359497930165,
      0.371246330204178,
      0.21279317284721,
      0.233550809919765,
      0.424418334951731,
      0.235848131886829,
      0.465957741241587,
      0.490500562993899,
      0.323536157867578,
      0.56329914710841,
      0.363838265377324,
      0.20709934810981,
      0.411223757277573,
      0.166267555399159,
      0.566055603878744,
      0.176942812046705,
      0.179054959523467,
      0.394636684522813,
      0.227266318955364,
      0.277509987098488,
      0.348664849354043,
      0.221599931811252,
      0.497445016843743,
      0.481192531362699,
      0.21900826336839,
      0.535495417028891,
      0.566830986745589,
      0.233216390726165,
      0.273054595190484,
      0.399535750259491,
      0.234685668155286,
      0.454740236761704,
      0.39428328084991,
      0.535581120226051,
      0.356820392946811,
      0.103021464018389,
      0.583608061485202,
      0.435235433478843,
      0.315831620582133,
      0.394707892314713,
      0.322060335759138,
      0.288009397983405,
      0.289504213730238,
      0.302447974378019,
      0.623126079434784,
      0.344408952324962,
      0.228381624028783,
      0.276024929815963,
      0.294074662622772,
      0.347823358855026,
      0.369926675468128,
      0.167889336567663,
      0.404318750973798,
      0.200121294972041,
      0.231470526420767,
      0.428176734860979,
      0.362656164600634,
      0.188968839601195,
      0.375010243667808,
      0.58501686907026,
      0.164430645491889,
      0.412873988649584,
      0.264582815295289,
      0.586741714986806,
      0.300772909885002,
      0.46863538935815,
      0.350326819275875,
      0.290855396324059,
      0.188619260161122,
      0.0533035280308153,
      0.203526971061113,
      0.138273036797671,
      0.172283873720608,
      0.085884325464109,
      0.501742858824306,
      0,
      0.000494813697727373,
      0.410497506327181,
      0.242818404048755,
      0.376474052181895,
      0.372434640737717,
      0.288487077939929,
      0.557304833497981,
      0.509025277293449,
      0.24390153766445,
      0.487226926795838,
      0.158146760099579,
      0.46985722793125,
      0.253339921562576,
      0.25859234333135,
      0.150297384100666,
      0.279508631941607,
      0.311373086651839,
      0.514424701729639,
      0.0479947825430508,
      0.196373451649358,
      0.243955006023044,
      0.238644270488975,
      0.190755144607871,
      0.245281243190506,
      0.442671488448477,
      0.530548097576731,
      0.328746827693312,
      0.346982508869876,
      0.382253900958622,
      0.330318760410811,
      0.323114351024092,
      0.0694415571850526,
      0.0956269185826619,
      0.226163355706048,
      0.120904015968385,
      0.189465979960372,
      0.569716842650779,
      0.126671163116748,
      0.388360989116238,
      0.281591119576967,
      0.0625319908561931,
      0.551986522706461,
      0.00845417289330763,
      0.102529223641979,
      0.428610256655031,
      0.499495075233236,
      0.217124012131819,
      0.381873018364999,
      0,
      0.375571134340073,
      0.343153688515974,
      0.269012075877036,
      0.318102772082329,
      0.214169327862147,
      0.111847880698331,
      0.607302620450903,
      0.547378217561076,
      0.220170231328188,
      0.251754318365117,
      0,
      0.327013093547363,
      0.565285192451123,
      0.155524083180958,
      0.110715611815609,
      0.182471772834398,
      0,
      0.390506902257456,
      0.323238218877663,
      0.283851949405575,
      0.266694137456734,
      0.149385944274423,
      0.332723531849415,
      0.289383032298108,
      0.315153654288542,
      0.228999654202394,
      0.126973708159606,
      0.248040994161785,
      0.367805616877826,
      0.237884806262422,
      0.163465375502853,
      0.541047226951236,
      0.255752224680081,
      0.0993550655160053,
      0.410221576804401,
      0.39896712146501,
      0.328272046251715,
      0.403085138132011,
      0.360338320668075,
      0.434678969157267,
      0.295993927431008,
      0.205025006037785,
      0.171092677149177,
      0.340819190961549,
      0.330289669276744,
      0.449379779214707,
      0.21780394588443,
      0.264317070873964,
      0.322986047844482,
      0.504970248761812,
      0.203608383778365,
      0.489716112380415,
      0.31019433568326,
      0.497974128096008,
      0.330539944863503,
      0.404614588724266,
      0.261604255253655,
      0.395721957561367,
      0.25027031386299,
      0.405164530235221,
      0.336626259277303,
      0.251378344008011,
      0.179081106384608,
      0.2099453530488,
      0.222632187053539,
      0.370311846611436,
      0.185731183795777,
      0.297709075153908,
      0.479549336885827,
      0.180196509443148,
      0.275923094597738,
      0.472721913140678,
      0.244821565978164,
      0.240515433921938,
      0.111796994964994,
      0.0703017137969708,
      0.239133258440421,
      0.17215509869662,
      0.167980530252254,
      0.599880614375103,
      0.0763798215463058,
      0.326034907237337,
      0.259342148124651,
      0.179998046918922,
      0.241252103892548,
      0.294016076485465,
      0.45223286150609,
      0.388532017377056,
      0.351657556840618,
      0.237340501294029,
      0.487430716763163,
      0.259508088933957,
      0.360141947787292,
      0.323113955739385,
      0.340499777235219,
      0.176375674016327,
      0.352357161013337,
      0.251181961545762,
      0.581070782758316,
      0.224860987314674,
      0.0971307097854004,
      0.266063623873169,
      0.0213965943327724,
      0.0386115059979709,
      0.424752567210085,
      0.192001881270659,
      0.227199717126104,
      0.282532028503402,
      0.23858503663366,
      0.484336702266057,
      0.0672231912463447,
      0.443359247443949,
      0.196491667810415,
      0.226516768317191,
      0,
      0.0376516555175574,
      0.369317608208948,
      0.546908130583164,
      0.385488270170913,
      0.231633197095471,
      0.366924459254687,
      0.338857731395171,
      0.240180120127719,
      0.394224569003906,
      0.263575119128277,
      0.304963511274068,
      0.0553786465878585,
      0.0651719312778286,
      0.616712548078446,
      0.25074618016428,
      0.20374885670162,
      0.191779772777338,
      0.18193079559799,
      0.20079090782089,
      0.301428313597757,
      0.0913485670729472,
      0.488662589815523,
      0,
      0.305307284600516,
      0.432619207293232,
      0.338595046881504,
      0.321727519934762,
      0.0899260520877883,
      0.404512169253749,
      0.356618300770411,
      0.465740461858618,
      0.326304931862349,
      0.635862365156149,
      0.532849019818153,
      0.474947415701258,
      0.387631815269992,
      0.187296775204591,
      0.0551508566784296,
      0.0827748176047339,
      0.352155614840908,
      0.361783158383812,
      0.182021946311262,
      0.289969022871936,
      0.458808328261995,
      0.492698768842527,
      0.254255745490699,
      0.277164385052181,
      0.196649264419008,
      0.233011011388115,
      0.360857632944612,
      0.414239657356406,
      0.60081020215694,
      0.374092343797678,
      0.210843771691938,
      0.283467814861126,
      0.238588830308106,
      0.326012128420516,
      0.182910121569875,
      0.131571336441218,
      0.316232375033078,
      0.420175271313034,
      0.355636950422274,
      0.581178851881693,
      0.309928574716333,
      0.318602726022575,
      0.48711754919433,
      0.217710597531162,
      0.13877996128732,
      0.20867041809651,
      0.338812252972308,
      0.541793574588155,
      0.21089266009016,
      0.147406497348231,
      0.442481685411963,
      0.260825080612901,
      0.415341336629247,
      0.46284957321035,
      0.397381300998908,
      0.388646156962295,
      0.30015724057561,
      0.164931298196521,
      0.520457414406032,
      0.229600105882425,
      0.274062199920655,
      0.296207688272366,
      0.235475267702231,
      0.107866555470539,
      0.373623258581362,
      0.260158923832853,
      0.496449719468402,
      0.397717482711634,
      0.256610834760203,
      0.408159148811489,
      0.464897302171112,
      0.488364288417712,
      0.449704106686307,
      0.421105343447891,
      0.247584190704597,
      0.390253199625481,
      0.319598061773718,
      0.615794646292704,
      0.311649954076073,
      0.2234709873696,
      0.359965909358461,
      0.335938945235801,
      0.206781988827827,
      0.317607242315967,
      0.285146876203503,
      0.565742682125912,
      0.215476094057052,
      0.350509919254118,
      0.444888767824746,
      0.575993899161317,
      0.31706452959229,
      0.32571424122482,
      0.302754262842193,
      0.386036019341496,
      0.339966645290539,
      0.380165287931874,
      0.593089365979852,
      0.380213055309655,
      0.207639707326709,
      0.27077069294758,
      0.182187493053837,
      0.299261148720528,
      0.181460431709487,
      0.285093378692061,
      0.141029206081054,
      0.195262466640857,
      0.227882123672665,
      0.587551221290185,
      0.235365409157624,
      0.203776561558017,
      0.168511147767114,
      0.234524183393816,
      0.335372648436604,
      0.26145043817062,
      0.187491806561509,
      0.550546096059453,
      0.0201634288326599,
      0.274032644048022,
      0.294033976805142,
      0.256406245247615,
      0.299017998657981,
      0.261742456066414,
      0.486848004857684,
      0.168599464592221,
      0.364654027928554,
      0.238077228006621,
      0.626334292310703,
      0.293532167372421,
      0.339329319298393,
      0.308969547938918,
      0.34220224405457,
      0.146705709416063,
      0.20472803547065,
      0.180954112785272,
      0.503875516765493,
      0.197029342273368,
      0.156365000761123,
      0.416236840693619,
      0.0558343829329642,
      0.0169782715545286,
      0.452050558537748,
      0.306148249854036,
      0.369476776738064,
      0.396623604298804,
      0.279764969169024,
      0.58419137245475,
      0.0318611742063876,
      0.232673042535005,
      0.221657454303498,
      0.207379868209997,
      0.176900583494679,
      0.0857551884925464,
      0.174198679232248,
      0.37901075258501,
      0.336927825563476,
      0.204705552388708,
      0.427481404790466,
      0.522178471691972,
      0.31968350995602,
      0.571413325045837,
      0.468243294793684,
      0.164382392226897,
      0.079407689123345,
      0.034438710144213,
      0.584000212971635,
      0.209994173003587,
      0.203329419807745,
      0.315369053070306,
      0.116608824894079,
      0.150522525798592,
      0.301202490050738,
      0.352876359878692,
      0.12486266757811,
      0.274991726083163,
      0.579202400120403,
      0.508622933364987,
      0.290174944610876,
      0.264846258705977,
      0.237182114337018,
      0.260290984108175,
      0.269090280546903,
      0.387095465781011,
      0.380902848978672,
      0.561878707747758,
      0.3889212516624,
      0.109777254294384,
      0.382801827949164,
      0.156691085623075,
      0.228345198977327,
      0.259204419326952,
      0.194724512472239,
      0.354615224364212,
      0.561734866777927,
      0.213359898956673,
      0.639628215815601,
      0.546915107408211,
      0.296783632731738,
      0.215964618496464,
      0.313989230973955,
      0.344653226865815,
      0.267160399063219,
      0.337252313512223,
      0.48766514473758,
      0.386575411390364,
      0.329414826214642,
      0.374704033639488,
      0.414727966823474,
      0.249459756960749,
      0.128523847426272,
      0.162694725315238,
      0.289197521473099,
      0.249946586632628,
      0.37749370417875,
      0.61909034367062,
      0.311317054385366,
      0.272322389358263,
      0.264643163717486,
      0.118623202595071,
      0.211624071286247,
      0.264008327976265,
      0.336842063473794,
      0.384241186779373,
      0.12733101797586,
      0.147276065524124,
      0.491952760513748,
      0.23454382882597,
      0.364634757483591,
      0.463106405043808,
      0.430537538022154,
      0.425441571765623,
      0.304171519382188,
      0.126375196867485,
      0.584824759744607,
      0.216803515631045,
      0.222963726183865,
      0.339072733198572,
      0.160858430988265,
      0.15928598410044,
      0.421233723189572,
      0.258768221951512,
      0.273116725984348,
      0.391216223488115,
      0.239252979064756,
      0.50304444074312,
      0.491946011386393,
      0.493767622392367,
      0.481730192235952,
      0.434249199091105,
      0.233974448643453,
      0.302548266680827,
      0.283310862509146,
      0.551953981943202,
      0.358631147600601,
      0.154408134015791,
      0.40424488560538,
      0.219736087663817,
      0.1531346565232,
      0.306520901222129,
      0.198530320137869,
      0.564117746137328,
      0.423543573178912,
      0.280872150081682,
      0.554369449314247,
      0.607787189592844,
      0.33133844272121,
      0.272992912547608,
      0.40070771327996,
      0.356843446244378,
      0.410708425037873,
      0.429426658806834,
      0.536474973554452,
      0.382553242729843,
      0.231484644012747,
      0.482541330155936,
      0.304075384704703,
      0.311749056329991,
      0.269003580955497,
      0.332299215527877,
      0.261862666108797,
      0.283950258359197,
      0.307679198031283,
      0.639316652624308,
      0.308587888782745,
      0.212962535251218,
      0.308142552860536,
      0.261845696117528,
      0.33736074661723,
      0.282794996632531,
      0.200257319742761,
      0.365072039504529,
      0.140893696811739,
      0.216946879979236,
      0.487279681790809,
      0.242198536671126,
      0.205491833976576,
      0.226679473894283,
      0.471122920606444,
      0.15297546694199,
      0.317149710000869,
      0.214913260156196,
      0.58623710181632,
      0.279712432065607,
      0.348230956921535,
      0.337062697427069,
      0.297934679424843,
      0.24344505960232,
      0.0782918400390694,
      0.136196240147693,
      0.272868081523566,
      0.195357379175861,
      0.16422265536975,
      0.548108276068567,
      0,
      0,
      0.436913814391163,
      0.249825581995921,
      0.411154661725082,
      0.35088860122871,
      0.259747925397937,
      0.550198355137081,
      0.428563669169301,
      0.122681517589807,
      0.487185568231858,
      0.191234271669674,
      0.511093459341479,
      0.329363977757971,
      0.228671522825353,
      0.120278507699203,
      0.240438942920386,
      0.30123400334479,
      0.558082737790926,
      0.154204388638399,
      0.206823583003039,
      0.237440109491943,
      0.218632574529137,
      0.313621091581777,
      0.0726889813824674,
      0.394082772260671,
      0.561955803059827,
      0.359842218352985,
      0.324929973648691,
      0.403206867222921,
      0.409115010778069,
      0.357159572306493,
      0.123578359889382,
      0.15383266378868,
      0.204946238529887,
      0.104750201064613,
      0.250990606482042,
      0.614247468392372,
      0.329744740629892,
      0.33412868980652,
      0.213326623783601,
      0.14119996094493,
      0.429866690281177,
      0.101685833985171,
      0.0952614853633111,
      0.385276881108166,
      0.438175916033941,
      0.38876772055465,
      0.395122323192326,
      0,
      0.332229530340228,
      0.486060301561467,
      0.228569148766556,
      0.110752354148168,
      0.075450940159249,
      0.138207662401863,
      0.594236355782237,
      0.448904822015166,
      0.352706130378956,
      0.27326235063278,
      0.0542723508261787,
      0.345133838009148,
      0.465809963268522,
      0.314566508151085,
      0.0791578838953896,
      0.150624701676774,
      0,
      0.281834029493183,
      0.32744197875606,
      0.354998902272128,
      0.314779131570172,
      0.125442759173803,
      0.349889019184461,
      0.324945648549756,
      0.279960563524145,
      0.122339058966309,
      0.111698861156219,
      0.234368637663423,
      0.191848021238061,
      0.225178561869959,
      0.273589390599753,
      0.497530988632214,
      0.364246890556545,
      0.299015661012742,
      0.352064773501611,
      0.350332319967298,
      0.282782606199801,
      0.369282395040047,
      0.553905019839571,
      0.194688158054814,
      0.343884344953053,
      0.395072616043596,
      0.343543025102728,
      0.328949985862316,
      0.386887627858164,
      0.541308573029279,
      0.233671086214503,
      0.114856048681536,
      0.371170543591893,
      0.574976700402273,
      0.171963776365694,
      0.41528881884927,
      0.324021597775412,
      0.360394093945065,
      0.27415605534557,
      0.462094825470751,
      0.226501493048443,
      0.528007308104401,
      0.313483725800673,
      0.387405529163349,
      0.403320767207598,
      0.173128106999712,
      0.2414170508031,
      0.270304162808305,
      0.165783142442583,
      0.312650219796695,
      0.183269739198264,
      0.260566352193592,
      0.442452295102124,
      0.0901678494742096,
      0.267868969171697,
      0.566573780986895,
      0.167821356169113,
      0.230470336927807,
      0.289777464875573,
      0.14179929126212,
      0.303514203512271,
      0.182107626052227,
      0.180243537548946,
      0.558740483848147,
      0.223778524752741,
      0.254289487629967,
      0.364051117365495,
      0.135551080471079,
      0.293223616365499,
      0.255511977974556,
      0.416110105384153,
      0.40591928929526,
      0.373168870733002,
      0.159028905592358,
      0.555518898562624,
      0.260231412071253,
      0.342736018934972,
      0.3417539946161,
      0.369510909520521,
      0.305147376259584,
      0.351306096729994,
      0.274538535542093,
      0.592753613359152,
      0.218836000314443,
      0.23456751819899,
      0.234116018796837,
      0.099219146600425,
      0.0681939658801321,
      0.484069530842539,
      0.224867243187625,
      0.42848738296667,
      0.344692169122593,
      0.243725633919154,
      0.503329384763568,
      0.125817095480117,
      0.592820688625532,
      0.384240305174373,
      0.219998642249412,
      0.0765735699498409,
      0.0972062108838926,
      0.394593890620978,
      0.53647919171158,
      0.416612799857222,
      0.274202609087339,
      0.366116039519361,
      0.363799044503461,
      0.319608430065347,
      0.498718832016264,
      0.196272076992144,
      0.454006425815843,
      0.0468097814012194,
      0.114306208188003,
      0.642243769388909,
      0.246489222943754,
      0.198518283575694,
      0.226226506270866,
      0.154982242384216,
      0.418867653666799,
      0.210821382483052,
      0.372507695833203,
      0.449380723754569,
      0.0636213620714163,
      0.344868583226413,
      0.348626101628561,
      0.387403369178087,
      0.526281226830231,
      0.118507474085716,
      0.415242655181866,
      0.450353475355382,
      0.40233871364396,
      0.479355380110985,
      0.648604620942898,
      0.560258476450145,
      0.518550197900352,
      0.527531776415949,
      0.25537363567413,
      0.158840854014023,
      0.139314017722966,
      0.400245784860829,
      0.427408678412937,
      0.200868488463941,
      0.483079592912988,
      0.551880519325792,
      0.517305216067932,
      0.383098309183608,
      0.24883597401712,
      0.195520268172519,
      0.490896580014645,
      0.359945986137312,
      0.418195654067593,
      0.563921051611787,
      0.385130386074855,
      0.259241454214036,
      0.292959284483738,
      0.141706190104997,
      0.429314448208919,
      0.404499077652267,
      0.355884984267658,
      0.425103293118608,
      0.399663573999592,
      0.541242885577237,
      0.609745444581177,
      0.271481761280997,
      0.28264490091713,
      0.334374813227628,
      0.288879253390749,
      0.330494653175256,
      0.334898327148451,
      0.338264323401014,
      0.549873924429351,
      0.320213978759203,
      0.241341530364216,
      0.346508970254907,
      0.34899235709435,
      0.414929589649742,
      0.539054584206963,
      0.403369540400922,
      0.398064911683264,
      0.35686925219594,
      0.19042708974807,
      0.600055348277559,
      0.214614842644517,
      0.262901796878835,
      0.265019944383309,
      0.275657038779742,
      0.16446289549553,
      0.256679291831829,
      0.264768113506653,
      0.450789042857638,
      0.237781335490987,
      0.395306182800555,
      0.435049256794656,
      0.265466500284742,
      0.464343303601655,
      0.37586694847678,
      0.370216585268409,
      0.423349766316474,
      0.236917395079715,
      0.370330018897397,
      0.635755776515902,
      0.400376781637621,
      0.298715370301008,
      0.378758823816378,
      0.30520480031886,
      0.181871710311338,
      0.252424486042253,
      0.249527420401649,
      0.577841007780951,
      0.163513870221789,
      0.26692978339383,
      0.422716094266028,
      0.407384424124784,
      0.295531429529297,
      0.436582930972294,
      0.371527097282587,
      0.32959250466225,
      0.25522454874006,
      0.349262645632998,
      0.623955289306541,
      0.413963306691025,
      0.262655346736817,
      0.285010025347523,
      0.208861392960228,
      0.294940662021388,
      0.188501750306784,
      0.272073322655106,
      0.145616390159897,
      0.0901661094898119,
      0.254087326830463,
      0.613162763329892,
      0.140103460089536,
      0.223389897282416,
      0.266381252096915,
      0.240485485151209,
      0.280579691939398,
      0.190070712222269,
      0.228832155269109,
      0.516696922398939,
      0.206524404116599,
      0.253466035605494,
      0.380231174291209,
      0.119836777611442,
      0.301126786065525,
      0.270971099692076,
      0.401302793056926,
      0.291142451339495,
      0.306691730841893,
      0.194704866332275,
      0.630675450215029,
      0.269290457461304,
      0.367218531708939,
      0.332909267709399,
      0.302421231920218,
      0.254579739531168,
      0.257601817460305,
      0.290430478788565,
      0.459435290092952,
      0.351799384251014,
      0.250370971899541,
      0.419553485165599,
      0.10684683371054,
      0.0458959900158002,
      0.504681453144468,
      0.291437302619597,
      0.514304075032865,
      0.445144404853778,
      0.534017565504656,
      0.603081294594349,
      0.0791544078333672,
      0.266403846685544,
      0.332182212348901,
      0.323785048636,
      0.245110428692515,
      0.122372529902592,
      0.205032167536667,
      0.337745361692755,
      0.287974463778555,
      0.147772470265337,
      0.521414100300665,
      0.515848311264953,
      0.454540524160141,
      0.463773772657889,
      0.508833093000844,
      0.364805120322446,
      0.0845855281979497,
      0.110021246038592,
      0.604271604901966,
      0.242941932571439,
      0.256265796556014,
      0.387757616707966,
      0.145570897702233,
      0.178197240660951,
      0.512811944026031,
      0.461675614291313,
      0.134248099257013,
      0.277176277705975,
      0.588107543124306,
      0.519048391331204,
      0.335358684919243,
      0.237146500766477,
      0.252171028609693,
      0.371839656470754,
      0.3452609348389,
      0.398937284497789,
      0.525340190445405,
      0.604441547286441,
      0.406263957241087,
      0.144411842324461,
      0.514978160973674,
      0.448040010308277,
      0.313484486456124,
      0.195362495519206,
      0.315890536861138,
      0.478881423345586,
      0.617968765570775,
      0.350612886939285,
      0.638625077069538,
      0.532711631156243,
      0.356431343984656,
      0.278889606262152,
      0.362250877868331,
      0.64469526310585,
      0.279920682923579,
      0.459172238309007,
      0.449498577435777,
      0.381060714260931,
      0.411885171777439,
      0.386658515776065,
      0.325110305123874,
      0.2446070807592,
      0.402602630071404,
      0.392832185921509,
      0.298403179805595,
      0.257939709913069,
      0.474300649212545,
      0.628692613195776,
      0.296021310347658,
      0.234653557701167,
      0.267519283868496,
      0.137092899434845,
      0.356737821188057,
      0.315694556046669,
      0.340582538949745,
      0.362554339540735,
      0.34598205145226,
      0.255775795528507,
      0.508168950542827,
      0.347606849044365,
      0.440336131213374,
      0.520865078420389,
      0.489547438623464,
      0.443111319184089,
      0.38354867381454,
      0.159280739490141,
      0.587639472273196,
      0.192802628057685,
      0.252416213759184,
      0.283863908128597,
      0.21829976387276,
      0.1647460572445,
      0.408206298958529,
      0.312293246648826,
      0.273536081882013,
      0.245893305102188,
      0.339619930832372,
      0.548069278509678,
      0.376174507305144,
      0.502105737453521,
      0.336131355199034,
      0.49260017757133,
      0.260932059307477,
      0.291048679014744,
      0.364576690869028,
      0.571105063325648,
      0.342293995847198,
      0.240304688667884,
      0.371145748549831,
      0.270293905794706,
      0.225565724630277,
      0.189827220403517,
      0.146665808766059,
      0.569850389810604,
      0.260191652090884,
      0.327619119488892,
      0.552746483426776,
      0.458123196286515,
      0.265437636377063,
      0.292814501765325,
      0.404260412821801,
      0.28886432244494,
      0.331784261354694,
      0.393177221152469,
      0.600893202449061,
      0.418242499524036,
      0.235218707749374,
      0.356928567805273,
      0.22965855518934,
      0.378619898748402,
      0.2152693031749,
      0.343681550740107,
      0.221683298300762,
      0.275748606871907,
      0.312376120233849,
      0.647527748886699,
      0.271566245157028,
      0.259674620745024,
      0.411992203670314,
      0.311978840316277,
      0.338340271244743,
      0.34258835945506,
      0.308361628021594,
      0.33132603535169,
      0.259864694126936,
      0.179632432195039,
      0.496461940385245,
      0.177220423310196,
      0.213304288142716,
      0.293218845679083,
      0.337226061411219,
      0.278634959156829,
      0.23082144262687,
      0.25546583777782,
      0.592482151272359,
      0.264976526821448,
      0.36595883757214,
      0.378767989213813,
      0.320226237421962,
      0.293829853433858,
      0.256859641547045,
      0.298926966385052,
      0.286810929019537,
      0.394227931740637,
      0.283263638948568,
      0.557513907847379,
      0,
      0,
      0.459958600662544,
      0.29776564309371,
      0.344831378000762,
      0.293866064829013,
      0.271825637910267,
      0.544708003344804,
      0.289393905389852,
      0.146058192169637,
      0.500494455577143,
      0.285582994177133,
      0.422713151964771,
      0.264722963831125,
      0.365310956389467,
      0.17336477133159,
      0.169980124192768,
      0.530585007963369,
      0.588910975183253,
      0.165274487318998,
      0.224558110197678,
      0.278198082617969,
      0.234745244833428,
      0.412236285836118,
      0.173185781209132,
      0.372396413555725,
      0.574870208405914,
      0.283529888437115,
      0.15905051017709,
      0.420094061021606,
      0.348878855900141,
      0.285597799049962,
      0.156723240698427,
      0.247434366606419,
      0.302822144117745,
      0.135804049549283,
      0.243190410374647,
      0.543813388344176,
      0.342622251299007,
      0.241333485278404,
      0.233049039848117,
      0.140625980220752,
      0.293057073940265,
      0.0844205591337559,
      0.170034003409232,
      0.339966172289799,
      0.427289327867724,
      0.497729781825641,
      0.41323799686431,
      0.0981685401092426,
      0.324022749871476,
      0.499969355247659,
      0.334398083817702,
      0.140869833437224,
      0.0930667262921151,
      0.0118872782906998,
      0.607785134779522,
      0.288227013025098,
      0.290230948704539,
      0.234856988438903,
      0.0896677137564513,
      0.357977139071665,
      0.298418426560713,
      0.472640264456052,
      0.289003133678106,
      0.141970719227348,
      0,
      0.219719467857381,
      0.274062476454359,
      0.317556739289507,
      0.205094194943694,
      0.0884054077647164,
      0.370832676179074,
      0.410059212751522,
      0.228776964762538,
      0.167170913297363,
      0.116499583756618,
      0.157445363863988,
      0.23429561449323,
      0.196037773703726,
      0.354334261473778,
      0.261241604331582,
      0.404361706818761,
      0.286190196675187,
      0.213970904320962,
      0.300357470169937,
      0.309169643438711,
      0.521692659713908,
      0.612971666306525,
      0.235165282949977,
      0.280558543238743,
      0.402164260756775,
      0.317756370952284,
      0.308467217069764,
      0.262413623921924,
      0.496536402265214,
      0.18836838135433,
      0.163554449773318,
      0.33015886207385,
      0.543503590765905,
      0.1125574692773,
      0.255803289475642,
      0.301817949070108,
      0.21369026532454,
      0.220815722442661,
      0.458186750781969,
      0.31743737712463,
      0.571562875559044,
      0.290412184263044,
      0.433548188307108,
      0.36225308183809,
      0.11170836027485,
      0.11135796889154,
      0.17495235180035,
      0.218951460702351,
      0.306047137847433,
      0.179923966303207,
      0.247864094934902,
      0.486267753155198,
      0.0388474969438005,
      0.274030618038241,
      0.583062694939194,
      0.154398302152471,
      0.186904646325082,
      0.249312632543209,
      0.20794652995939,
      0.283771639527686,
      0.220757729498505,
      0.0993555656683655,
      0.5320351015515,
      0.213698288517256,
      0.255187346843107,
      0.402234424254411,
      0.0864741314970144,
      0.278948500275948,
      0.271829017093798,
      0.251095573077754,
      0.405160317679873,
      0.372623643668727,
      0.151377472587621,
      0.528592419295274,
      0.27937810662661,
      0.29235305597346,
      0.252774748511812,
      0.298249485218264,
      0.268993373816863,
      0.301916755761514,
      0.154875099457923,
      0.556756911914154,
      0.234410251821002,
      0.199692361475797,
      0.211160698613359,
      0.130886577250788,
      0.0465943007008761,
      0.446985685181692,
      0.228482582834113,
      0.564182299293223,
      0.370966741101827,
      0.324014523907736,
      0.500317205747558,
      0.225224045402104,
      0.613387457493534,
      0.357925011006245,
      0.288536181748966,
      0.087540779052342,
      0.0665304159486812,
      0.361909429545343,
      0.53163857707476,
      0.415405429535526,
      0.291250844783469,
      0.355476443149554,
      0.432913538076379,
      0.310555293023431,
      0.501846750153825,
      0.255027826650999,
      0.415153335534749,
      0,
      0.064684000919396,
      0.613569423277173,
      0.207695310723262,
      0.279470980322142,
      0.169443768749563,
      0.261491541109497,
      0.350955456798488,
      0.251425614251149,
      0.309367169027858,
      0.512499180551442,
      0.0166179453414644,
      0.400334411701594,
      0.340536381210205,
      0.365092544871457,
      0.527352574194312,
      0.0710738411964421,
      0.364301297825441,
      0.489791379065174,
      0.404199987192701,
      0.443111879239645,
      0.619675614166369,
      0.372438485064541,
      0.467677462857275,
      0.460188966224076,
      0.254124626710907,
      0.132737497657495,
      0.0624585171850364,
      0.345441335770473,
      0.417854598430838,
      0.138391404628186,
      0.416893354672979,
      0.51666633163533,
      0.405357229361017,
      0.41696127456062,
      0.28192439344295,
      0.169410140890251,
      0.430657048888767,
      0.256560872861253,
      0.402470583909587,
      0.523551269225276,
      0.48850153589087,
      0.273270556400347,
      0.271336018957564,
      0.161661527401977,
      0.448994445014015,
      0.340332898188235,
      0.291439413080055,
      0.416848881912213,
      0.282533924243084,
      0.473615949988911,
      0.584054884202598,
      0.324635172407755,
      0.301747731721495,
      0.199122894164806,
      0.29246692950081,
      0.266384384514771,
      0.289392676798192,
      0.108155035122893,
      0.524900186135437,
      0.264527604406309,
      0.183778964274004,
      0.318146937564376,
      0.282294845407439,
      0.415715246167538,
      0.511302511794097,
      0.479165415167532,
      0.355950740853193,
      0.301068003761891,
      0.171510917003728,
      0.579329501473878,
      0.305073140337925,
      0.311424206760292,
      0.300974366864035,
      0.293123310771725,
      0.158728985688924,
      0.265229986180459,
      0.299300043132128,
      0.499043552189423,
      0.135102559130396,
      0.336179852760289,
      0.387365304263928,
      0.245775367124125,
      0.398217035385995,
      0.356103185226214,
      0.484488356963414,
      0.51932346266959,
      0.280897703966396,
      0.32757912346504,
      0.602225658440985,
      0.286951312128864,
      0.3363128202864,
      0.238278023441488,
      0.316426891227085,
      0.156204482437055,
      0.242937881491892,
      0.259958363657257,
      0.534883760144767,
      0.190265343548918,
      0.20766820530706,
      0.392367687831979,
      0.311637043611042,
      0.276052587000108,
      0.409988379239891,
      0.350367787859178,
      0.325525952994151,
      0.232254442655767,
      0.440403948761712,
      0.573918344796629,
      0.382010289512483,
      0.253317578300036,
      0.27561315310038,
      0.221119556247064,
      0.313973400377002,
      0.161939001277768,
      0.289457230205114,
      0.138520098667643,
      0.0980825156434218,
      0.207193302877939,
      0.590458862685512,
      0.120412305585495,
      0.242493920544468,
      0.31606830520406,
      0.272111108605962,
      0.299859711729474,
      0.236492435503198,
      0.297192877421794,
      0.511260987251933,
      0.199027127665899,
      0.254365243537066,
      0.5305389990894,
      0.152271231121286,
      0.243967795877895,
      0.279012941393245,
      0.200999062375895,
      0.232438888106898,
      0.33023215167291,
      0.231535318622474,
      0.597842036794941,
      0.281549191830786,
      0.357849334726194,
      0.338941399199562,
      0.296446887770399,
      0.202433278945566,
      0.330252392624961,
      0.208694364867226,
      0.480355255030345,
      0.322185419785294,
      0.184258802843679,
      0.387653346940781,
      0.258692604913978,
      0.0483067354243664,
      0.457778804242564,
      0.26082853831104,
      0.460226974790564,
      0.397232467896234,
      0.489849766134826,
      0.58236423215121,
      0.0445183480782263,
      0.296585399198448,
      0.348981428493308,
      0.320178731744871,
      0.283835536465862,
      0.119402582404467,
      0.210018446889346,
      0.407167928713284,
      0.3534705533484,
      0.202127589764925,
      0.482941847473488,
      0.559002261841718,
      0.45747346915145,
      0.418499632419037,
      0.498388135759133,
      0.325404375528302,
      0,
      0.074166195990172,
      0.577628201639826,
      0.190482046244745,
      0.276323831077322,
      0.372792513267779,
      0.130747591184684,
      0.157195518072795,
      0.445109618648873,
      0.522559682031393,
      0.313294388040711,
      0.231858367148086,
      0.610266282859901,
      0.526703713529314,
      0.347332568673812,
      0.229726897834017,
      0.192574965394256,
      0.398347720423727,
      0.397902917043356,
      0.410549086565652,
      0.480529825557783,
      0.545310862395422,
      0.395548732157916,
      0.163625713919129,
      0.43745347646875,
      0.387568142286953,
      0.221085400212638,
      0.193988319814335,
      0.312481657736152,
      0.388926581703331,
      0.516905824292814,
      0.307464857129158,
      0.608894881569709,
      0.505870244758104,
      0.402999506373446,
      0.272440515810037,
      0.325673364532992,
      0.584467508763721,
      0.243949737865833,
      0.426120803656311,
      0.479335215109976,
      0.382987395740343,
      0.392903793977304,
      0.344046811531585,
      0.300060568107974,
      0.248869019107312,
      0.336209704088009,
      0.328670247329993,
      0.296333501051378,
      0.242220601044183,
      0.453772485973983,
      0.591304296879981,
      0.312911932199349,
      0.285837129077185,
      0.236592648368773,
      0.251034638637638,
      0.309379183923465,
      0.248476345507047,
      0.197755756507932,
      0.406205969968868,
      0.278138121474456,
      0.155395593097814,
      0.469707019591513,
      0.296919598388308,
      0.425431718324074,
      0.517314235215137,
      0.514420756539392,
      0.366992696753937,
      0.320943402028724,
      0.169481043046842,
      0.558929474444214,
      0.190870880118961,
      0.294025669442617,
      0.2666485315339,
      0.242770555486984,
      0.204819887549487,
      0.344640907221695,
      0.350953937143171,
      0.53347907144004,
      0.151986548672909,
      0.319485594952273,
      0.524475916701707,
      0.285867238884151,
      0.437181034097389,
      0.319047288287564,
      0.548941022300798,
      0.394667168134715,
      0.395252782254599,
      0.321237100713713,
      0.540012313321724,
      0.312382494391528,
      0.213738658836314,
      0.380453947551658,
      0.36918933639159,
      0.275485172396871,
      0.256233466773046,
      0.236319795344916,
      0.517111070125354,
      0.200641056235789,
      0.209648086185241,
      0.519526074613185,
      0.371042713418404,
      0.310908089700422,
      0.27111016510005,
      0.370154959941273,
      0.217439056137527,
      0.313182499978033,
      0.527679601312979,
      0.563443904850648,
      0.394420710069361,
      0.208992297737034,
      0.342610803163376,
      0.242851893479368,
      0.338973156841009,
      0.214600441217892,
      0.344156689491217,
      0.184105561942259,
      0.260956057016422,
      0.238060974295424,
      0.614418622383196,
      0.250117431705828,
      0.229474175800016,
      0.441839541372426,
      0.262153523825715,
      0.27375939193151,
      0.306258365176219,
      0.338754486032141,
      0.37354238070833,
      0.208062943926142,
      0.143467737176619,
      0.50467125549216,
      0.140391464390437,
      0.172399620646008,
      0.296178319367368,
      0.314446479998592,
      0.20982665986162,
      0.226524480548223,
      0.278000098958516,
      0.561673971752433,
      0.286066479138987,
      0.319846258527087,
      0.402074580486736,
      0.276458349345948,
      0.21839220173845,
      0.27949346371327,
      0.288727623941179,
      0.198416531884161,
      0.330954219642492,
      0.203140291628302,
      0.518165047282501,
      0,
      0,
      0.432701192106514,
      0.205595831987402,
      0.204294583448721,
      0.327521607885955,
      0.252449194034152,
      0.520734853931107,
      0.213758168803248,
      0.163777037449935,
      0.460268949412274,
      0.363616809254019,
      0.290635462993732,
      0.295377588597685,
      0.445508134302937,
      0.133688384108853,
      0.126643560518378,
      0.539067868728592,
      0.564033048469023,
      0.0560661137686419,
      0.291155564682001,
      0.312680013700291,
      0.286088840664473,
      0.428206063409399,
      0.189313526081699,
      0.361729114937633,
      0.524898360639044,
      0.281415186433903,
      0.125554008431488,
      0.381956767924835,
      0.142876915299292,
      0.229933819803453,
      0.218361544932417,
      0.259672553662402,
      0.282066071812572,
      0.135845463156458,
      0.260599405397274,
      0.547112410091849,
      0.210687883227081,
      0.268783919490919,
      0.207710681618267,
      0.237208481052667,
      0.269439301727997,
      0.0167784455634251,
      0.251524578203686,
      0.397523086548967,
      0.381366277569299,
      0.394309888821203,
      0.351091163809289,
      0.199412690076731,
      0.277000673402209,
      0.444400731141547,
      0.346420406776291,
      0.118477140408483,
      0.120906434469403,
      0.0342753346054165,
      0.568487901676451,
      0.242614501732818,
      0.166986425320004,
      0.258696309101147,
      0.0142685822434076,
      0.319913097287259,
      0.194310350814688,
      0.369734508509478,
      0.257263460942247,
      0.178192124924815,
      0,
      0.177476725303984,
      0.206354535545886,
      0.142059534789287,
      0.101629040901785,
      0.077042444327667,
      0.274982935110125,
      0.383280830829987,
      0.269283413244923,
      0.0655233083657633,
      0.0186807791987755,
      0.18322047050236,
      0.258036766394414,
      0.175806069640367,
      0.312548958133125,
      0.214788190502496,
      0.35829711337749,
      0.125494949373327,
      0.207244412391913,
      0.127770138996763,
      0.193395644075193,
      0.622729217741889,
      0.47038860472612,
      0.235243264175837,
      0.0351425041484388,
      0.172971125064891,
      0.21761425266087,
      0.258128303629407,
      0.175161664713833,
      0.444124554736199,
      0.181565610114287,
      0.0756640394425934,
      0.3048094553844,
      0.481282353179641,
      0.183863971779467,
      0.244487764978412,
      0.298481756815778,
      0.224117686110965,
      0.127075609628552,
      0.367848002819739,
      0.33658237350517,
      0.503439976944611,
      0.175000928281314,
      0.387175924352968,
      0.304572726744065,
      0.0967221935169918,
      0.131794204837474,
      0.170805585293377,
      0.177562166182523,
      0.257358198325761,
      0.168871144616781,
      0.122792785820825,
      0.465090925848151,
      0.0161894537917089,
      0.193160251045785,
      0.472277583992612,
      0.229003541654184,
      0.164288419240379,
      0.146525079197418,
      0.143008697801437,
      0.255052617586803,
      0.168991318010545,
      0.0488863003442539,
      0.519528180883871,
      0.137141903712487,
      0.242310044065481,
      0.350350918114049,
      0.114656727797792,
      0.171993245768366,
      0.212382156958919,
      0.253512907191079,
      0.397891625975303,
      0.329067868753405,
      0.162029897301343,
      0.444585952650701,
      0.200680903432648,
      0.268365663702956,
      0.252345882192179,
      0.308356411526394,
      0.0454095646124988,
      0.241482877968488,
      0.149208087502627,
      0.50842138506888,
      0.181382058458072,
      0.146312170012825,
      0.249875437784667,
      0.21690680812828,
      0,
      0.3596794609861,
      0.358484189965251,
      0.513061293157024,
      0.397698632539395,
      0.349362457290189,
      0.47942031209754,
      0.33756696306438,
      0.512876378895851,
      0.2375774807019,
      0.232146551100375,
      0.0380415725493024,
      0.185104960294004,
      0.300203011853592,
      0.526425112647858,
      0.198811638021033,
      0.248654582501016,
      0.351419359199827,
      0.4983855262919,
      0.404290835543003,
      0.45798228440504,
      0.23662843517513,
      0.304879881609334,
      0,
      0.277102643237506,
      0.564033963332956,
      0.208247773004584,
      0.22021397267424,
      0.304332647737909,
      0.369036433276678,
      0.0978342481325281,
      0.213747167730169,
      0.119389231552901,
      0.644418427787121,
      0.0521307073209789,
      0.467403623730178,
      0.330873509353229,
      0.246281258052495,
      0.409289827634116,
      0.0343986192921356,
      0.3167276470165,
      0.606038920008434,
      0.333121552425622,
      0.324878923357844,
      0.575599082847173,
      0.32168152732288,
      0.342923758894326,
      0.314548386451794,
      0.226804672265136,
      0.0939382835828249,
      0.143097224380654,
      0.229239808123033,
      0.361789990814526,
      0.110042735295152,
      0.20750130156315,
      0.554893655091238,
      0.212705282985677,
      0.510854016817567,
      0.315001281518144,
      0.187250023434223,
      0.342142813881047,
      0.185106367391108,
      0.417169862533292,
      0.510955448915567,
      0.577035577134062,
      0.266009897342837,
      0.248827743850113,
      0.172335168641834,
      0.337896722410002,
      0.241478263141777,
      0.177595728329564,
      0.217345912053567,
      0.273672330584258,
      0.287857801823983,
      0.504033742713625,
      0.367141887789503,
      0.279480694084803,
      0.251362277363922,
      0.289267105988299,
      0.288796267627393,
      0.205276606167527,
      0.176949436815289,
      0.488284912236258,
      0.214830930649481,
      0.138262169921705,
      0.401218897065282,
      0.294800706486444,
      0.373742297742188,
      0.388863881100488,
      0.450234685128148,
      0.279065242876798,
      0.205631281508553,
      0.130223355487475,
      0.553375845395076,
      0.275579893539609,
      0.310407314562833,
      0.249462745149109,
      0.266955222781406,
      0.17126270580214,
      0.297071209358023,
      0.346844898208223,
      0.489366828057316,
      0.157899365039572,
      0.284601084775082,
      0.321170276919555,
      0.26821635367291,
      0.237610331827291,
      0.252994288060954,
      0.605762859439619,
      0.4467276166307,
      0.294506490110904,
      0.303435276236711,
      0.560510217678938,
      0.211473563301996,
      0.277526496952843,
      0.354129794773184,
      0.328030334895862,
      0.218091689295881,
      0.261327498852888,
      0.198025738121062,
      0.521006923009737,
      0.204750675451779,
      0.22797359857532,
      0.367102958249943,
      0.308362615411356,
      0.144100776277423,
      0.297184507981541,
      0.358914295789783,
      0.27065493842121,
      0.183260425898441,
      0.495816993414716,
      0.526507334805071,
      0.339156160949565,
      0.311891198446818,
      0.289768332023426,
      0.210508438877222,
      0.225772713781172,
      0.238229925691211,
      0.147696941024565,
      0.138209956797671,
      0.0749979852676703,
      0.238932365137995,
      0.525353015947343,
      0.0712601767213923,
      0.18021337501385,
      0.261312990854214,
      0.235595505419089,
      0.223634241662988,
      0.212931023705997,
      0.287761509492943,
      0.50198128671458,
      0.0474466759897066,
      0.251259766094745,
      0.502626759201439,
      0.143310414391664,
      0.15051741987372,
      0.210086785170963,
      0.272210471142813,
      0.318790837124591,
      0.316205451847716,
      0.216480826295065,
      0.538099291123246,
      0.192805854650675,
      0.298402518960484,
      0.302211461291853,
      0.278002564634119,
      0.167291836926515,
      0.234937068740035,
      0.204590478303773,
      0.463284538401246,
      0.203595894245941,
      0.126792194934692,
      0.32138780432285,
      0.283434357494654,
      0,
      0.351101426632895,
      0.224098094796857,
      0.25137948592645,
      0.320330440771412,
      0.324209560997567,
      0.611293930512201,
      0.221959569418908,
      0.288523769413413,
      0.297428173880763,
      0.272021982629283,
      0.481774972849525,
      0.111205715660336,
      0.193445070690865,
      0.402919129864422,
      0.353090075927324,
      0.172317839410609,
      0.39133744284254,
      0.492420682328684,
      0.632119870495202,
      0.320131392904515,
      0.506989905398752,
      0.130617651988982,
      0,
      0.30808835966779,
      0.511611172820566,
      0.042699022572875,
      0.276305154706742,
      0.349940595635878,
      0.210726947387957,
      0.135389138384044,
      0.189170883684903,
      0.51963808412599,
      0.481017220014392,
      0.257227737078071,
      0.590223242800714,
      0.578663536926092,
      0.288822065828846,
      0.200323501776303,
      0.146554862513718,
      0.495743858747263,
      0.52978013328389,
      0.331965450626548,
      0.455688740574932,
      0.487726762308054,
      0.35389473441191,
      0.206177611772471,
      0.265912017617216,
      0.120225745859291,
      0.0387301918100824,
      0.267244295361244,
      0.235554535968139,
      0.229548985009741,
      0.426407790745905,
      0.129619420800123,
      0.594384779516573,
      0.287309132799878,
      0.508311718611645,
      0.261668465950674,
      0.296649791590786,
      0.36719339380362,
      0.057104304892105,
      0.349900862739624,
      0.464438325715591,
      0.547743037149205,
      0.318815541140383,
      0.396409825652821,
      0.312558737315636,
      0.341881346991242,
      0.217999782609663,
      0.209851528881505,
      0.186628686159573,
      0.258324029665153,
      0.352355462536059,
      0.546789709426778,
      0.282225830066977,
      0.251042865795453,
      0.237124660699667,
      0.26361053659543,
      0.325937169706646,
      0.13747425762416,
      0.199183065447431,
      0.374323490001504,
      0.0755305084528282,
      0.0792835464518525,
      0.487682221414885,
      0.294499037704476,
      0.266353562641485,
      0.443320512089483,
      0.404272727640449,
      0.342307898956585,
      0.227573668563896,
      0.0781630746792228,
      0.518118643378348,
      0.165849979912346,
      0.315355734602295,
      0.255154541797095,
      0.218010876746777,
      0.195663445688795,
      0.320984934269141,
      0.349193826007594,
      0.539447451024275,
      0.136675912118817,
      0.372407745079524,
      0.416055440183277,
      0.26466281406253,
      0.299757563882585,
      0.275534782252365,
      0.594366915709236,
      0.361180396036466,
      0.3934735312997,
      0.337993702922177,
      0.498670467460431,
      0.220670873781907,
      0.21630089333029,
      0.332949888011119,
      0.409895352908252,
      0.265945861069863,
      0.162766140651555,
      0.167608662251618,
      0.546842645565438,
      0.2704472515246,
      0.182296091353831,
      0.494816524284179,
      0.34821547008216,
      0.221005463906448,
      0.289205155524475,
      0.327539661079527,
      0.132688939953419,
      0.181912912720468,
      0.56116631039806,
      0.474872509579249,
      0.322243764357491,
      0.285066118907386,
      0.378943735443661,
      0.258346960976982,
      0.343313925907521,
      0.169824660940862,
      0.279126902633947,
      0.154246237751641,
      0.195932018582728,
      0.290338312653364,
      0.569957625116734,
      0.189128754213212,
      0.08959639470996,
      0.341228132716696,
      0.245248748939519,
      0.252552243805696,
      0.31164588274198,
      0.255317221730567,
      0.360813159266086,
      0.105458936890164,
      0.161063344394726,
      0.478998478989677,
      0.119781781669634,
      0.156615015556559,
      0.231730689566668,
      0.310980708145235,
      0.354337991360715,
      0.246200303759111,
      0.239036226640752,
      0.531730385990113,
      0.194296579450397,
      0.251802937815145,
      0.321893471807463,
      0.240478062344731,
      0.112330185727389,
      0.188294238110996,
      0.256073464756438,
      0.220215550867413,
      0.26249069653834,
      0.114835940609566,
      0.505377770362287,
      0,
      0,
      0.382481968743616,
      0.159568216167633,
      0.249519303208737,
      0.325223040352013,
      0.220761001704515,
      0.487595794956642,
      0.187339431473669,
      0.190149855029651,
      0.303151951776437,
      0.427866572960041,
      0.221610105925931,
      0.24856767273686,
      0.37013717826194,
      0.119950774882676,
      0.0829566042255472,
      0.417742781962045,
      0.494803116856881,
      0.0844581958018126,
      0.223964335673916,
      0.283999591584788,
      0.252100222122256,
      0.187440301242684,
      0.103612269718276,
      0.385947492372578,
      0.498537357564166,
      0.283873184927744,
      0.119768907813255,
      0.355232772124846,
      0.0709362390098224,
      0.237806740368229,
      0.246342862369807,
      0.3586040837394,
      0.263210633774132,
      0.263131661891968,
      0.374113320266572,
      0.55873525788544,
      0.164495555029039,
      0.264239970281076,
      0.222014208472158,
      0.258791923073884,
      0.307026176773273,
      0,
      0.280363214787467,
      0.374623261300413,
      0.3179065116685,
      0.205763204953566,
      0.350866289173548,
      0.0680702733706612,
      0.259517211476496,
      0.393670154831568,
      0.224965965432106,
      0.137681745120971,
      0.154690428461694,
      0.0453094552889736,
      0.517329341019385,
      0.283370016796395,
      0.143563778700503,
      0.258568174766843,
      0,
      0.261329006748421,
      0.222433576731322,
      0.259168647500556,
      0.0734815053701817,
      0.131095816776325,
      0,
      0.227479279239071,
      0.144746375061199,
      0.143091738629066,
      0.202506759768002,
      0.022066966272097,
      0.208226312720993,
      0.235967061298902,
      0.252426471530369,
      0.0578007855910917,
      0.0821901164757225,
      0.217219427124825,
      0.376014756328344,
      0.120886298049427,
      0.210406672520792,
      0.265225203006358,
      0.205111354374546,
      0.117622838303924,
      0.132956778557712,
      0.0666390571134171,
      0.178068508552809,
      0.541139671432082,
      0.268377143416039,
      0.269733870850319,
      0.0531908041641244,
      0.152924357200405,
      0.180621116483209,
      0.280271568134373,
      0.163352031600728,
      0.475870779431227,
      0.218420809471148,
      0.20002462425348,
      0.232439038417612,
      0.373121447504706,
      0.214364644480715,
      0.352237314048277,
      0.24661393752018,
      0.276336914484501,
      0.0542346748001638,
      0.318147940532825,
      0.296906898234163,
      0.315428577605408,
      0.239017755683908,
      0.328533082508705,
      0.239057889342026,
      0.112202400712492,
      0.0163043351770823,
      0.175617856685167,
      0.106292917768001,
      0.183862179612451,
      0.179220748211644,
      0.233931365101286,
      0.429155851321525,
      0.119209478495929,
      0.161147917936857,
      0.382965220916157,
      0.29212823088737,
      0.0447590847284969,
      0.139335066592686,
      0.042786986829058,
      0.186857552478051,
      0.176035106196552,
      0.0752424764942274,
      0.565135697581475,
      0.0371955162681209,
      0.228591347696202,
      0.233429242690744,
      0.10494016289446,
      0.180132820765361,
      0.210075305929426,
      0.276033984405566,
      0.380149994252155,
      0.318746354709345,
      0.228061031560747,
      0.457589296016759,
      0.107690579271704,
      0.279594080928575,
      0.218932828001197,
      0.30543641105403,
      0.148363366382651,
      0.296724588103603,
      0.206989163565077,
      0.545951743269302,
      0.209619093001524,
      0.180907002115737,
      0.244726155360717,
      0.12414581751976,
      0,
      0.344964893723759,
      0.295109748575278,
      0.279667274708094,
      0.308057148238153,
      0.196295193213407,
      0.510125470704642,
      0.290913067449209,
      0.396247064153079,
      0.22736469888731,
      0.227863074108599,
      0.0442849288214458,
      0.0877878461524322,
      0.350434902046114,
      0.507861557912759,
      0.400877475779314,
      0.176729285775312,
      0.344466188409278,
      0.388516104876029,
      0.421036408771225,
      0.460333677733362,
      0.229972050002137,
      0.285108347598317,
      0,
      0.18285840593904,
      0.583390402800136,
      0.197701593542403,
      0.234592096926734,
      0.231663177406793,
      0.216145617027718,
      0.119800624382272,
      0.256312505388757,
      0.0953392649308848,
      0.542562076551036,
      0.0911392698621124,
      0.368117352014613,
      0.374198543103039,
      0.372827232304697,
      0.451972340607359,
      0.139813271145888,
      0.287370265474824,
      0.510189709060775,
      0.360235070045344,
      0.421767630993287,
      0.587796123813839,
      0.387577026178256,
      0.471106637594744,
      0.253583852868074,
      0.176027678940277,
      0.109473544383345,
      0.117034217692338,
      0.245247627882589,
      0.334491375271213,
      0.135625139548247,
      0.233351677099615,
      0.487612247810289,
      0.21751785966333,
      0.384492282948775,
      0.42964300135292,
      0.190113920179162,
      0.237721909804276,
      0.0972650350537673,
      0.389663147867731,
      0.538503548472522,
      0.496866639876667,
      0.195041827207994,
      0.279695704935659,
      0.246465247980534,
      0.322718628865465,
      0.157666468664445,
      0.16370156651927,
      0.227118327949969,
      0.317598472135864,
      0.332175915355711,
      0.518082875053247,
      0.40931623935673,
      0.277120863725659,
      0.260637762899506,
      0.172469785677734,
      0.330374426602326,
      0.160259414379848,
      0.175369428616269,
      0.482677500921627,
      0.231495768172634,
      0.187973798590952,
      0.327325069219637,
      0.287858392002362,
      0.315357278270115,
      0.465349435026325,
      0.292095154858915,
      0.257049175570885,
      0.21609420711134,
      0.0834646269505872,
      0.580978353939661,
      0.255151516134454,
      0.32359053953966,
      0.239989891758523,
      0.241721126555799,
      0.16472910987463,
      0.290531961480806,
      0.282473390541115,
      0.444830038233813,
      0.113159009627355,
      0.215457584886211,
      0.334328314498704,
      0.321094490696307,
      0.288003221474519,
      0.200814029104201,
      0.550550678680351,
      0.256443478962407,
      0.366852699136655,
      0.211179516500782,
      0.592078541075749,
      0.182293910002357,
      0.254598562339766,
      0.30621879104721,
      0.313455656235647,
      0.298253197823245,
      0.240997655118437,
      0.218056584138308,
      0.480534560382916,
      0.267839332600292,
      0.222939689330874,
      0.369023567662905,
      0.395816074495028,
      0.0708319032251136,
      0.349195675879718,
      0.286844560464084,
      0.137491999118268,
      0.204897794841145,
      0.364795506932882,
      0.560358955293907,
      0.342005674745063,
      0.221561855623162,
      0.213880160783132,
      0.107994110105024,
      0.219060675299362,
      0.22090709547454,
      0.200716614229852,
      0.135937732065712,
      0.0749921956959924,
      0.164057917939704,
      0.530133638770928,
      0.0794010350874521,
      0.173364776813138,
      0.223802353278696,
      0.2190828820902,
      0.195822414978081,
      0.188834964841585,
      0.169307906657782,
      0.475522246031561,
      0.0329760358806624,
      0.159607074291812,
      0.28059203119239,
      0.193992913220042,
      0.136359424162762,
      0.209733800194198,
      0.297180197712428,
      0.308421643071488,
      0.410035292901252,
      0.265410006614736,
      0.568390251581971,
      0.11745382500778,
      0.279280498174669,
      0.237533516807402,
      0.189118560641689,
      0.098707510128724,
      0.205140539179008,
      0.176030045456149,
      0.432645050608253,
      0.18273603608458,
      0.173343125395197,
      0.269097764842776,
      0.0419812272837501,
      0.00405508124208102,
      0.38029239912577,
      0.25157158874337,
      0.227486117713554,
      0.421069971331592,
      0.316859482087928,
      0.593245966457058,
      0.114745473434515,
      0.336591132678037,
      0.234628107560529,
      0.18007029429906,
      0.384442957858007,
      0.153966082822739,
      0.104521324134873,
      0.349758858199789,
      0.181456017385823,
      0.213542714980055,
      0.370973663795259,
      0.392893851350409,
      0.535062051794727,
      0.340516260903983,
      0.500654592802521,
      0.146206075940293,
      0,
      0.218380391104514,
      0.528199114864889,
      0.111983150423348,
      0.21252365706796,
      0.306551825583818,
      0.117244598180762,
      0.121911074618548,
      0.221440500764053,
      0.478589746379049,
      0.338467435934997,
      0.279140772239793,
      0.481380111496168,
      0.558919655495209,
      0.25165922354954,
      0.222347660449055,
      0.170253102239591,
      0.377560815896816,
      0.440632499647784,
      0.385033521450775,
      0.504885782810048,
      0.467244767315561,
      0.368065249421811,
      0.143945631608918,
      0.260591869134055,
      0.0949376656559661,
      0.0614878474932763,
      0.214221518507437,
      0.135494455832016,
      0.307225599542704,
      0.422262648617711,
      0.135114945714378,
      0.577322657580689,
      0.289829372938138,
      0.39060858209862,
      0.483843252442706,
      0.235214615065636,
      0.332001705692681,
      0.154564046874765,
      0.384244248150586,
      0.415826592627904,
      0.480396081391694,
      0.278430289211394,
      0.397835775513526,
      0.355024785496161,
      0.284641748054222,
      0.160406549078012,
      0.167165396702299,
      0.235419940089178,
      0.241515622769941,
      0.456851574203917,
      0.583997945666079,
      0.320712343124167,
      0.219365619994114,
      0.211779267708498,
      0.058581668789801,
      0.361304574097332,
      0.151540472272018,
      0.299808363004485,
      0.344124154795704,
      0.0568981923950086,
      0.0913863763861313,
      0.419848352452244,
      0.301557434564985,
      0.237459798938873,
      0.384660080593428,
      0.225073834052692,
      0.276678319251376,
      0.226152325104154,
      0.0968145073725581,
      0.56762805154249,
      0.179287153634612,
      0.25930676937782,
      0.273271929811314,
      0.119353574516922,
      0.213853632721172,
      0.328216527044293,
      0.311330043135729,
      0.395571697741215,
      0.0853389659792566,
      0.314316930995991,
      0.404898440721107,
      0.318408371010148,
      0.251896983538265,
      0.315289860783837,
      0.467259047866381,
      0.206786484146564,
      0.382442034901742,
      0.249869547388141,
      0.473790352992457,
      0.182590289598226,
      0.160477880302341,
      0.299896955307309,
      0.293084501687378,
      0.387476452879093,
      0.20422223956106,
      0.202129361401448,
      0.430301547842413,
      0.310387926510438,
      0.257461911431831,
      0.504479952294407,
      0.393634984655414,
      0.206850805879866,
      0.334609382846436,
      0.159884314342912,
      0.14511058291469,
      0.222730289050244,
      0.472014382814748,
      0.439692607699442,
      0.359837455245839,
      0.15173064757302,
      0.382559678192799,
      0.320522996347657,
      0.328680290365988,
      0.248018905094254,
      0.241605522840168,
      0.185027943044147,
      0.0482286489034587,
      0.242468808555303,
      0.595592050459243,
      0.124480897264382,
      0.140636604296145,
      0.227943419613158,
      0.293480653108753,
      0.234722943965934,
      0.290097637247833,
      0.169976478298345,
      0.336058581061003,
      0.122262681563744,
      0.085436232539889,
      0.418872201460147,
      0.148120132631024,
      0.137503568710241,
      0.213797120119148,
      0.379551955836224,
      0.331323859303634,
      0.3072717425051,
      0.270268278373418,
      0.547130300227863,
      0.101079395592747,
      0.256545184705127,
      0.297228333083266,
      0.197491159721788,
      0.102897321229935,
      0.131011329655412,
      0.202563910331117,
      0.142435056205144,
      0.271712733358682,
      0.147282790059778,
      0.521424986934508,
      0,
      0,
      0.373482060467212,
      0.112222567205332,
      0.269824102966218,
      0.313001865389857,
      0.202191400657066,
      0.488543580933133,
      0.265424686646676,
      0.139170135332515,
      0.248227265059398,
      0.429648596597654,
      0.32928558352821,
      0.300858221230912,
      0.379221669309747,
      0.139291698847817,
      0.0353176297608569,
      0.278669772538717,
      0.494537710910157,
      0.119829606867469,
      0.225520646355695,
      0.256256666148083,
      0.221994280940925,
      0.288241554451227,
      0.078545757373367,
      0.29667886237518,
      0.44340348540255,
      0.278184608791725,
      0.0902339413406907,
      0.38805771091759,
      0.0841726709130199,
      0.181978469204405,
      0.267409212985874,
      0.478925970961313,
      0.21204823159538,
      0.322008486447501,
      0.307955018012593,
      0.545921070801461,
      0.297356257660328,
      0.209427652526805,
      0.203075684937368,
      0.10512554936929,
      0.376281251222131,
      0,
      0.205683808511059,
      0.368688483398192,
      0.358750309691278,
      0.21188006218119,
      0.371375514560565,
      0,
      0.219282524055931,
      0.244905070040115,
      0.348300705888308,
      0.159266395580701,
      0.125043308879219,
      0.0363598057577072,
      0.561058808887783,
      0.370084478632029,
      0.0153749758274958,
      0.265390525616764,
      0.0611944796425358,
      0.273088525713369,
      0.3128344536278,
      0.208483842370888,
      0.0978465976890106,
      0.025127174555408,
      0,
      0.3162675311955,
      0.129053580397641,
      0.105376139113977,
      0.197429657091854,
      0.101773459534663,
      0.225761645011323,
      0.288822149847149,
      0.303887674969963,
      0.275505952004222,
      0.130472523122553,
      0.272283417241515,
      0.516952651117854,
      0.145160148505929,
      0.0991098345545807,
      0.341336553318475,
      0.109562231639703,
      0.0573188489739818,
      0.35545610733292,
      0.167567038161487,
      0.311101737047083,
      0.251551841150418,
      0.243076907309162,
      0.388008306477409,
      0.110890909640374,
      0.143642610508932,
      0.160874174197428,
      0.234230295912586,
      0.212335997734552,
      0.533803077328282,
      0.366486945340667,
      0.417968667886697,
      0.261683001962966,
      0.329796486588873,
      0.320601002524428,
      0.450927359485177,
      0.170778749342311,
      0.400553589938311,
      0.136275191408697,
      0.515255770682018,
      0.233596851637758,
      0.282150320234898,
      0.283133545719772,
      0.27627950952991,
      0.177521690625015,
      0.239181024803404,
      0,
      0.191702430480404,
      0.192049092542184,
      0.218461674898281,
      0.135095317133307,
      0.293756279216107,
      0.462976992169997,
      0.20599992824779,
      0.169448156636113,
      0.408248943237115,
      0.351118047754872,
      0.133898669702888,
      0.13969061487264,
      0.0536154842335941,
      0.162166176113963,
      0.255293756346272,
      0.124280889270271,
      0.566685230883265,
      0.172906139283946,
      0.222231845102542,
      0.229554330663451,
      0.205078219369596,
      0.192976613798252,
      0.247702837431315,
      0.333116432381317,
      0.393937541925511,
      0.418690016092303,
      0.28802796224919,
      0.502720311931167,
      0.240669714961547,
      0.338812973474374,
      0.319627285385875,
      0.378923951042011,
      0.324693999401535,
      0.363098767696891,
      0.258140088658222,
      0.541108124230208,
      0.273665933738698,
      0.278659183748616,
      0.230041550379824,
      0.0536012984333089,
      0.135906969052142,
      0.369960223004597,
      0.090935390747849,
      0.251452375762244,
      0.282214183263529,
      0.591756063336797,
      0.54588458915709,
      0.337164959173792,
      0.341639407899325,
      0.156264978939733,
      0.167603258570473,
      0.181140335415333,
      0.256101342108308,
      0.40541332487672,
      0.503620659142744,
      0.643788282383288,
      0.502828647849077,
      0.333037522891332,
      0.325308763944816,
      0.389187129822655,
      0.551935392321517,
      0.169890969208159,
      0.439814528526482,
      0.0927348154305366,
      0,
      0.589178621312842,
      0.330615616757803,
      0.297697442561834,
      0.143877462630895,
      0.100708091143877,
      0.163814382273259,
      0.244467536989099,
      0.137748028293598,
      0.470004434050985,
      0.147737606176548,
      0.444263636755609,
      0.457635096979552,
      0.615445319842368,
      0.539091013912657,
      0.265551650636502,
      0.292636177976237,
      0.329981658093284,
      0.410924377365094,
      0.519157480600906,
      0.576813051525935,
      0.555043391377885,
      0.543541833572809,
      0.253633623754967,
      0.193925656977331,
      0.208883515822738,
      0.287146846369962,
      0.286058270355385,
      0.359806939724088,
      0.183369165972614,
      0.223427480361591,
      0.497335078393385,
      0.456462209699208,
      0.255673565424453,
      0.68853253052553,
      0.232657265800259,
      0.520303672765034,
      0.367777735811432,
      0.505055587497848,
      0.632529171148877,
      0.449387722335588,
      0.316985115815714,
      0.237238285325913,
      0.370236664214936,
      0.306801666151059,
      0.332516493026489,
      0.201224178226773,
      0.254475173432537,
      0.283606659701512,
      0.406725918662415,
      0.540825740383467,
      0.555246352399577,
      0.477816273930951,
      0.495346148059113,
      0.231058939600506,
      0.263183407510525,
      0.342169930331987,
      0.459881493419733,
      0.495024391496648,
      0.398930112298591,
      0.307128580648547,
      0.265731507139433,
      0.372385157617997,
      0.41346618366601,
      0.449556020516231,
      0.32388837658206,
      0.338009381541146,
      0.296627356189481,
      0.102526599284802,
      0.593542793984434,
      0.337745457468667,
      0.346480651000091,
      0.252079998313788,
      0.260862622600492,
      0.0473060821764721,
      0.474046058939774,
      0.167768377278808,
      0.470988572532291,
      0.243863940871568,
      0.215047595723619,
      0.322469321893393,
      0.415750544597589,
      0.300065220131569,
      0.269410752217205,
      0.30090521016361,
      0.31873621319204,
      0.41807644953797,
      0.175873752811928,
      0.582209381090448,
      0.24788108651727,
      0.25949526169415,
      0.275786804837734,
      0.319778716359917,
      0.389794726663258,
      0.354119010531821,
      0.253559664925259,
      0.467635811356659,
      0.450461628162498,
      0.315014231616306,
      0.411887521179253,
      0.483556452959167,
      0.0749632763317675,
      0.423130819677855,
      0.25082949959606,
      0.249751725476548,
      0.329530459431876,
      0.169690711189993,
      0.542987852542541,
      0.333229200726086,
      0.184089691144113,
      0.221429247930207,
      0.202115281020821,
      0.178328210179981,
      0.184097751406166,
      0.257446481611917,
      0.299501656834666,
      0.215976225675886,
      0.132937176767427,
      0.560646968423147,
      0.237134352717134,
      0.24961870320355,
      0.201567261512555,
      0.189758083746429,
      0.127305893855693,
      0.201107275152873,
      0.160481772412422,
      0.488909071509141,
      0.111778767999111,
      0.178825100446349,
      0.263937750725306,
      0.293741384376959,
      0.210260871900441,
      0.270704560691945,
      0.359911059599091,
      0.18804498699866,
      0.446197832897067,
      0.293167494903955,
      0.576390923843378,
      0.240376113961137,
      0.298600414514553,
      0.301735262505347,
      0.315883371345633,
      0.32027936022468,
      0.330268032498979,
      0.253225173545591,
      0.472885772666589,
      0.268235380413477,
      0.278691754509947,
      0.28519716120486,
      0.0646527976498456,
      0.102377229204641,
      0.399140096618828,
      0.243071087027873,
      0.218334607099283,
      0.473829962493334,
      0.423291001695725,
      0.574247592308652,
      0.113364255071437,
      0.313899558097627,
      0.280982699197255,
      0.264865763411197,
      0.179160288646067,
      0.309441629249815,
      0.134904853950181,
      0.384549350742831,
      0.416246605774148,
      0.333572182255393,
      0.389570208732574,
      0.402498098459581,
      0.430973424032755,
      0.481537008011706,
      0.607689942544065,
      0.213273019388208,
      0,
      0,
      0.533141691502233,
      0.186994696448885,
      0.467356610886015,
      0.321832033514275,
      0.152866866421791,
      0.111328130900554,
      0.260127920659052,
      0.405094287245672,
      0.19426932371067,
      0.334604099398549,
      0.427450282784267,
      0.576260061838411,
      0.400738196545507,
      0.182006767977266,
      0.327328617099283,
      0.303572629482998,
      0.407472309164283,
      0.427448501092399,
      0.550588079798834,
      0.508641958771868,
      0.325894083421393,
      0.195824083415806,
      0.245410716785016,
      0.115212764493079,
      0.406928927619347,
      0.194237624763511,
      0.193718755860214,
      0.325518244882285,
      0.397216850054488,
      0.191180917767715,
      0.582133116384513,
      0.483654891772848,
      0.442959617885796,
      0.698269574159087,
      0.248848722014468,
      0.261417831754689,
      0.395164769390912,
      0.413095431949529,
      0.506421858199394,
      0.338704934096671,
      0.547785964169859,
      0.523272632607414,
      0.445830402994762,
      0.174089442221044,
      0.343996367601221,
      0.29713894977413,
      0.244570984247549,
      0.248093580475017,
      0.615852611326324,
      0.570020237843642,
      0.544265117138508,
      0.447877797178579,
      0.322210823407308,
      0.26274861613693,
      0.297001195006409,
      0.370987371643364,
      0.464681241447541,
      0.418972214074607,
      0.384654520199182,
      0.325977356278932,
      0.406182983524621,
      0.340713108456213,
      0.388746946172229,
      0.422241791394061,
      0.244867924700281,
      0.364317079901298,
      0.304005142230405,
      0.0913235785812934,
      0.545231325069347,
      0.161524197934925,
      0.283419945396184,
      0.306711501607061,
      0.243201364123419,
      0.133496306521627,
      0.364088745986912,
      0.18203836764187,
      0.363798183867621,
      0.23212015744203,
      0.196675921653391,
      0.451105410605129,
      0.581045125554602,
      0.323558394435687,
      0.394667169869399,
      0.290302047608841,
      0.234465409287319,
      0.33337464586528,
      0.21756570398682,
      0.481203215579847,
      0.282569787900495,
      0.240264512275841,
      0.310103245932403,
      0.26116835204188,
      0.388808330947249,
      0.301368247675014,
      0.244301968646894,
      0.52129287659539,
      0.558015436927772,
      0.286020144766827,
      0.531965713291777,
      0.498776535569646,
      0.127435019137319,
      0.309711723667854,
      0.227247010123324,
      0.313608555465056,
      0.290680028057247,
      0.271024189418948,
      0.468073477304112,
      0.331191580395159,
      0.14618571741342,
      0.436658604126317,
      0.37610324687854,
      0.270979875752171,
      0.33830657333715,
      0.241363113942411,
      0.338494884840673,
      0.225763802074315,
      0.293327628186566,
      0.56467842743542,
      0.269869674725369,
      0.314636194293301,
      0.266729585006663,
      0.355920223705483,
      0.286219787547119,
      0.240099933085208,
      0.162285697617271,
      0.373055459198461,
      0.231484214309215,
      0.090174740848384,
      0.439283251192271,
      0.288145718328813,
      0.219833094583339,
      0.304177816970765,
      0.409499713024597,
      0.156891600019884,
      0.379122075857017,
      0.27899240773265,
      0.523686094834873,
      0.23251987662418,
      0.304862195871258,
      0.299673186785301,
      0.271042359135744,
      0.326722489560932,
      0.288401911443468,
      0.283008256618809,
      0.317816550802366,
      0.246085268440184,
      0.178186999402159,
      0.495528491619939,
      0,
      0.042606087875555,
      0.380011881809719,
      0.269105033473184,
      0.367884559532146,
      0.356628193710309,
      0.204550595203181,
      0.503981643544716,
      0.349674994998297,
      0.207329942847433,
      0.346601118630827,
      0.364901713432042,
      0.448965752029272,
      0.291089311339767,
      0.306444721961995,
      0.198711960434055,
      0.151489053409659,
      0.290399567513295,
      0.519285897368615,
      0.23423460351068,
      0.200672536391181,
      0.265345628353196,
      0.20150515994419,
      0.462780515040255,
      0.251872157991464,
      0.253501760607384,
      0.462843190367109,
      0.221851212413788,
      0.204861948146973,
      0.370007590155681,
      0.278251547350995,
      0.267940327438474,
      0.281300973708443,
      0.404763583369992,
      0.180151786035739,
      0.211308437345413,
      0.175698742470085,
      0.534928236865765,
      0.393812007202487,
      0.266014956563498,
      0.226667730849062,
      0.207075648982394,
      0.386909787924569,
      0.00964991328394264,
      0.167162703881155,
      0.420535915415793,
      0.361189783587209,
      0.197213043433691,
      0.391599626212829,
      0,
      0.268674010210846,
      0.291042720607134,
      0.403768360196704,
      0.174930809873173,
      0.143106110404902,
      0.0177410237050376,
      0.52423527020317,
      0.326375813041701,
      0.210419259294079,
      0.249873842475464,
      0.0617228722213152,
      0.27167944375654,
      0.382671207904809,
      0.243726823626377,
      0.119370508131346,
      0.0189109563309392,
      0,
      0.335485768828011,
      0.270420039494253,
      0.280022465671666,
      0.223886525712656,
      0.149422464362085,
      0.25134219885774,
      0.277190893760332,
      0.344708627147702,
      0.430135475688811,
      0.246160098306473,
      0.292944010002893,
      0.522539137873852,
      0.142790863894713,
      0.151359932653858,
      0.315129893327388,
      0.198415552070793,
      0.128100159591186,
      0.392974357789026,
      0.282018454233431,
      0.38141705918187,
      0.230048938723369,
      0.264259358117671,
      0.425018494781638,
      0.318826313948831,
      0.233678859411888,
      0.190124294426049,
      0.221852475820381,
      0.279282575469963,
      0.520176401560773,
      0.385444879128706,
      0.449553699535451,
      0.324663118811449,
      0.455334878830015,
      0.336265236487477,
      0.370466809738909,
      0.226005357664938,
      0.538674283543771,
      0.164574860465781,
      0.572474598748228,
      0.273069278178668,
      0.363906607417467,
      0.266369868303086,
      0.241895906048341,
      0.294747141529388,
      0.242633823001841,
      0.134805820953882,
      0.166216207437343,
      0.176756882715651,
      0.207784520183055,
      0.125674247652898,
      0.237775453751864,
      0.48445409518649,
      0.214405484857937,
      0.205051723381368,
      0.475727162642378,
      0.284353350068009,
      0.167752887887093,
      0.165351218365089,
      0.0369152269053281,
      0.147326454507328,
      0.245647540329071,
      0.132107672414523,
      0.558928081185949,
      0.169129501381237,
      0.184296355531496,
      0.244706716812149,
      0.223753426380294,
      0.167166916120582,
      0.293019380618987,
      0.324657293938791,
      0.419010735055179,
      0.463353495172959,
      0.181769771361565,
      0.501048895393142,
      0.280148525937055,
      0.337117257143008,
      0.334055012259547,
      0.365433510363866,
      0.22717108141311,
      0.343844947346569,
      0.267426817979646,
      0.558131444472561,
      0.310937293614007,
      0.250903410055372,
      0.241953683721934,
      0.126895073108979,
      0.159539714177821,
      0.361337198231486,
      0.130856970937938,
      0.277895117355822,
      0.317002984975362,
      0.613416926399569,
      0.52489867419252,
      0.225572441727031,
      0.386697512324654,
      0.256681870249319,
      0.223442322463332,
      0.165239349461933,
      0.268588949803966,
      0.380030099558759,
      0.511414069428649,
      0.633364204130169,
      0.514653892850653,
      0.304587636903786,
      0.315206591171533,
      0.290690740168382,
      0.562444989144779,
      0.22174317270523,
      0.484431236323096,
      0.0957260044390582,
      0,
      0.558917670255044,
      0.273123384215588,
      0.310342969939779,
      0.148752605501812,
      0.183772768182178,
      0.264609500565741,
      0.278103561105894,
      0.250878576760754,
      0.484259892941929,
      0.103195563857976,
      0.478408557040129,
      0.482818560640408,
      0.608374003800686,
      0.56132360691069,
      0.284905285477899,
      0.321979532570605,
      0.38775791092376,
      0.410583857303794,
      0.529173259164002,
      0.577614395330508,
      0.585345712801485,
      0.45741879077109,
      0.245277512892635,
      0.244477019774486,
      0.220012254998926,
      0.295259376899929,
      0.303715240555404,
      0.397013894947627,
      0.185331077005144,
      0.393310137934989,
      0.492383404592727,
      0.473536541043338,
      0.369013144430481,
      0.683827728846995,
      0.188926210188164,
      0.555238687672246,
      0.376819882145684,
      0.53734584622145,
      0.645587804322273,
      0.369044530954899,
      0.337567555857324,
      0.272294845635624,
      0.431166291913466,
      0.385687674071217,
      0.358755215175885,
      0.34104435993202,
      0.232307076720756,
      0.288989416470098,
      0.376073309702957,
      0.499344134028824,
      0.557871087455928,
      0.480530972579634,
      0.516060059017215,
      0.304290905602054,
      0.29041989552226,
      0.383610552191678,
      0.466774661238764,
      0.515478337695958,
      0.394990374125566,
      0.294206381622597,
      0.344958718524282,
      0.361636813029168,
      0.386486743294926,
      0.421536456566047,
      0.383793412818425,
      0.337120787547429,
      0.309391491721756,
      0.108028992308388,
      0.562138385537298,
      0.303046910553017,
      0.287220710931188,
      0.441593109649355,
      0.268634836772269,
      0.016604255933944,
      0.52082864142585,
      0.191974083437062,
      0.482956343464221,
      0.323048467073084,
      0.24141661275019,
      0.342939667997888,
      0.431092631005548,
      0.409097214589173,
      0.379456900077442,
      0.235729463662035,
      0.329241240884293,
      0.364269128606888,
      0.317252458009101,
      0.556223840221116,
      0.280709165071129,
      0.257532237750122,
      0.307771208871808,
      0.433150128147302,
      0.323337568450891,
      0.388972238311574,
      0.297757693093739,
      0.523313994363091,
      0.447044771441931,
      0.289229431788221,
      0.435413405363501,
      0.493750112623725,
      0.201829739707064,
      0.50234347200987,
      0.308208222798042,
      0.313180757045496,
      0.357710688478501,
      0.183964975822638,
      0.549790220219729,
      0.320060873079116,
      0.283608365214797,
      0.257303514122471,
      0.222670862815235,
      0.18102039279091,
      0.16945742438809,
      0.258056341147488,
      0.279297824179451,
      0.247086583786794,
      0.134422230469437,
      0.59734987889163,
      0.262929343041926,
      0.218162066351811,
      0.190825290379967,
      0.210102100820669,
      0.186813059206072,
      0.285134056121648,
      0.219201819088031,
      0.50806049626197,
      0.113478434492174,
      0.199503314552959,
      0.289037921584993,
      0.294413032691812,
      0.22861285079858,
      0.31259735338482,
      0.379643611393429,
      0.23474953180857,
      0.371401019382124,
      0.255437961318131,
      0.546803950686074,
      0.267953371268859,
      0.333159224147211,
      0.32793087193063,
      0.382278909996168,
      0.273481016508591,
      0.328880934879817,
      0.295111037859228,
      0.498613607682124,
      0.2474310653547,
      0.254699334072613,
      0.30034839512483,
      0.132748175296861,
      0.129729703807355,
      0.34379112170211,
      0.249630095907356,
      0.380248244093909,
      0.38619951306742,
      0.485339277538255,
      0.557827574527447,
      0.140824051060356,
      0.344909697890977,
      0.281678503116452,
      0.288399992601377,
      0.204227818387806,
      0.319473417968631,
      0.187012068611899,
      0.436060596702189,
      0.405762733813225,
      0.340857585598859,
      0.419797192624713,
      0.44590797039243,
      0.450227968843831,
      0.513234974606895,
      0.602281801847377,
      0.250594342077187,
      0,
      0.000906460637257855,
      0.542959758753149,
      0.203039018491882,
      0.482482834617255,
      0.3455033449292,
      0.170751257768017,
      0.0944411803293971,
      0.33064251571586,
      0.384523573798197,
      0.209145631630261,
      0.331333750923909,
      0.433871512390974,
      0.540096283450485,
      0.415690503675361,
      0.206621154216527,
      0.361643263669821,
      0.363812572335485,
      0.398154109733132,
      0.44686160468494,
      0.530603922269868,
      0.496544660609157,
      0.27772675803188,
      0.211514307938681,
      0.343030746486331,
      0.229943104850862,
      0.421546872561983,
      0.22550809883561,
      0.249049856340575,
      0.359680352347284,
      0.515588012171595,
      0.260688020774095,
      0.526525919649162,
      0.500452694260448,
      0.53333974259493,
      0.637714685788188,
      0.246126670747449,
      0.406318196456949,
      0.401404777648239,
      0.446967236183723,
      0.537089202451092,
      0.340851113840305,
      0.558369451465421,
      0.540409230090981,
      0.506562415774269,
      0.198792600325736,
      0.352766185527875,
      0.380480481997272,
      0.206990007612472,
      0.203056201062058,
      0.54710973940186,
      0.550342686692339,
      0.554379153871145,
      0.466410201636761,
      0.321763930514438,
      0.321929771197966,
      0.29083160339675,
      0.344967496799271,
      0.471168411196112,
      0.445392099236758,
      0.412152935991194,
      0.324023328120014,
      0.427186586941204,
      0.324772223847935,
      0.413482636793058,
      0.394923870497159,
      0.293959667491607,
      0.374375351734077,
      0.308654011374216,
      0.133014912348559,
      0.543450756386398,
      0.142214917241707,
      0.265759060004905,
      0.421772247939787,
      0.2908361498438,
      0.103061926580029,
      0.518573414121801,
      0.265680281679211,
      0.318995607267187,
      0.297915275171162,
      0.215520319052129,
      0.461035460948561,
      0.602793099897968,
      0.502824879577485,
      0.463265015089554,
      0.284207168424,
      0.282049846644345,
      0.262188164350774,
      0.328015905135571,
      0.496959694961482,
      0.263200112552083,
      0.257193778778718,
      0.330022991774139,
      0.341202069399397,
      0.323367125904708,
      0.392103525544767,
      0.335154806200975,
      0.556753752026284,
      0.574046806899851,
      0.209944625560628,
      0.497288017671731,
      0.472391797488744,
      0.190255683390035,
      0.27099313302292,
      0.35086106967211,
      0.396880356979262,
      0.351643497307196,
      0.23035453371551,
      0.483623126342871,
      0.302013945775498,
      0.232880705761458,
      0.341598697211456,
      0.287714100825422,
      0.271811484448762,
      0.296001723805888,
      0.290756691212368,
      0.337879927734992,
      0.223038192019923,
      0.284665211955733,
      0.545127513961274,
      0.363066298964687,
      0.310841069711468,
      0.284912689607953,
      0.288075161068247,
      0.268761164503521,
      0.293204000712274,
      0.160993893379655,
      0.40177450931665,
      0.210013357009528,
      0.102334629057761,
      0.432769691559991,
      0.316716502861252,
      0.190562477278213,
      0.335177797387016,
      0.348688779112756,
      0.223332630256647,
      0.250836467841423,
      0.24324129269168,
      0.520092067967509,
      0.248670495592454,
      0.312086859877994,
      0.345316236545054,
      0.351334669865716,
      0.304278760299687,
      0.365428976838698,
      0.315415361662414,
      0.35616640412553,
      0.236264651116583,
      0.218580316174351,
      0.487579829377807,
      0,
      0.00666467205298693,
      0.343613710336276,
      0.296920618815226,
      0.377285179732338,
      0.367622627966379,
      0.177325646105901,
      0.502784961104387,
      0.392004178271076,
      0.194448167990764,
      0.418244887533695,
      0.264834106460175,
      0.437921018250813,
      0.319849351293142,
      0.272053282193464,
      0.171608466587242,
      0.140179682924457,
      0.383528974144999,
      0.48795786180103,
      0.172040575654618,
      0.210318055783924,
      0.237997189115548,
      0.25536063633708,
      0.518405450295627,
      0.334088622620882,
      0.25831969252341,
      0.491243875030955,
      0.242248701026964,
      0.186001815097877,
      0.400263695621949,
      0.347467559055164,
      0.242658619496331,
      0.313175890437704,
      0.208496897252014,
      0.191841880721671,
      0.0398488439965138,
      0.19900404642943,
      0.52049901016132,
      0.284922791605219,
      0.323001308122859,
      0.240108780680421,
      0.278982342915395,
      0.351493093452701,
      0.0498855340466063,
      0.184065402992407,
      0.409903903833735,
      0.399567593035172,
      0.335087192236023,
      0.419977136063513,
      0.0136809094922131,
      0.232425910979658,
      0.316042481540835,
      0.354291469084703,
      0.140808903593815,
      0.152179471006097,
      0.0805753558907542,
      0.516734588192274,
      0.22312526529611,
      0.180605591083629,
      0.251559731515621,
      0.079088893377225,
      0.272977976549784,
      0.387880464194188,
      0.365329305269569,
      0.141387641087875,
      0.0862464242549736,
      0,
      0.229904649313207,
      0.220124778747336,
      0.335723210498405,
      0.262154936011169,
      0.125868489933811,
      0.362971528819836,
      0.340445890309814,
      0.414929645345223,
      0.341102719674635,
      0.227449508839965,
      0.300701110567948,
      0.44411565197042,
      0.110537098502452,
      0.278471946574005,
      0.323614933817031,
      0.256518252020954,
      0.216596573846278,
      0.284050957762877,
      0.322379159888483,
      0.31758672061127,
      0.200082608574234,
      0.491269894217408,
      0.306859162813388,
      0.332282018027857,
      0.364884434284384,
      0.21945062870075,
      0.289692255752981,
      0.322418429638584,
      0.469288605007467,
      0.341553779785668,
      0.242472932207042,
      0.321521525797096,
      0.476770940223685,
      0.203804163399696,
      0.223812567356582,
      0.330327497918715,
      0.455286665975037,
      0.101440385017313,
      0.648563451079234,
      0.28936937891415,
      0.431327371370171,
      0.278230231861193,
      0.260035613006332,
      0.418180163570701,
      0.197292048659706,
      0.198037626747261,
      0.238956043578345,
      0.123389206441119,
      0.225784043691163,
      0.140144781231174,
      0.158043561401729,
      0.509607534188167,
      0.156995168372479,
      0.206563242795444,
      0.431790517190688,
      0.113296102924117,
      0.153768351696114,
      0.137037354467881,
      0.0651598997097035,
      0.193250577002942,
      0.22067523815829,
      0.237222856610189,
      0.588806958927198,
      0.144294140625853,
      0.172692996322231,
      0.357076202288949,
      0.061514945183337,
      0.225591113466528,
      0.222083914865919,
      0.369762059896882,
      0.4236254283661,
      0.440980205720043,
      0.167077920590336,
      0.439286958510912,
      0.195923456202163,
      0.323919904410025,
      0.279278844304907,
      0.288452475892574,
      0.222291910197256,
      0.303365998562772,
      0.212082589646789,
      0.599103941678206,
      0.218325969993744,
      0.270555884022753,
      0.215677182490768,
      0.0455246530017116,
      0,
      0.370218505740421,
      0.264374568130011,
      0.378664932784607,
      0.382882871713031,
      0.369778500648342,
      0.473664271877787,
      0.21162963574948,
      0.495692987568768,
      0.43303452801433,
      0.317128532977035,
      0.147060369700561,
      0.0651667582265019,
      0.379020559930112,
      0.536646148624142,
      0.27605777401275,
      0.261738671855637,
      0.320137800838787,
      0.401576121906969,
      0.26721744184551,
      0.520447139796343,
      0.195278287240325,
      0.64085636670823,
      0.11327698948745,
      0.144922498055758,
      0.541085536817421,
      0.300509688478188,
      0.311412970097833,
      0.212503483406894,
      0.29807996741335,
      0.445751537352404,
      0.257011312589785,
      0.420358217941128,
      0.527981767163634,
      0,
      0.505033058511651,
      0.350786797781234,
      0.372493803645372,
      0.541275749490931,
      0.167351393653637,
      0.36380686173285,
      0.387635090666746,
      0.398662992195731,
      0.571718854964027,
      0.607269129029669,
      0.429241258026073,
      0.488575871186374,
      0.36607311094767,
      0.29182766524963,
      0.178901106068176,
      0.058069206520157,
      0.344219362306572,
      0.456259838746596,
      0.262634112628104,
      0.545930573927051,
      0.447584903776184,
      0.215886334161045,
      0.489937768092989,
      0.531480575312424,
      0.235642108981031,
      0.683403706971712,
      0.188361152390045,
      0.451631538824388,
      0.595135766595964,
      0.302454841025479,
      0.324024406667646,
      0.28766875122439,
      0.386084086681914,
      0.381939636331096,
      0.462525052074016,
      0.471859212815255,
      0.361138419803005,
      0.325929414525208,
      0.320841350700072,
      0.48297969440725,
      0.389597231672124,
      0.350367205189408,
      0.32721724946608,
      0.173169107341362,
      0.43685427086346,
      0.449982975885854,
      0.357184902026014,
      0.571722568588894,
      0.256533713241514,
      0.244771959039088,
      0.353741690493257,
      0.223169379031166,
      0.3154167131619,
      0.441193502544282,
      0.349107986226121,
      0.337317103853248,
      0.206171531341396,
      0.15612928814811,
      0.518017038880589,
      0.166128686956316,
      0.344592975424708,
      0.389075591331926,
      0.326367461875401,
      0.0493015875448451,
      0.47631287567141,
      0.283278350466821,
      0.516297297108613,
      0.265558643405628,
      0.31565653583733,
      0.318336589290992,
      0.400065077791901,
      0.467445913451349,
      0.353424813661721,
      0.262521405301124,
      0.53831135271113,
      0.266878585636015,
      0.345391329188617,
      0.57235193143956,
      0.303910939814727,
      0.348869975371401,
      0.343524843346486,
      0.44018805941769,
      0.359442311996866,
      0.298171792385558,
      0.321296788488026,
      0.518847018868481,
      0.286169204340895,
      0.209615184565944,
      0.368961287469584,
      0.478175537804677,
      0.110821230830777,
      0.618741339316258,
      0.342407453481977,
      0.294460840897817,
      0.333518850904167,
      0.199249316180277,
      0.612982842988571,
      0.318090081372132,
      0.328558394006584,
      0.323686201511646,
      0.202198563091288,
      0.251885864096245,
      0.147699523069065,
      0.238247486754874,
      0.161402759849211,
      0.140233941934903,
      0.136393576537916,
      0.574735548869726,
      0.11912898525417,
      0.229914528062273,
      0.266166519087047,
      0.311296696821311,
      0.185145287264801,
      0.276312359226701,
      0.25463569337862,
      0.564440797656767,
      0.13755708484203,
      0.239799967992542,
      0.401101588102295,
      0.101457306654683,
      0.1967560425001,
      0.267805678532626,
      0.411408001871948,
      0.302286568634726,
      0.295560402781297,
      0.237534313881418,
      0.51961613228428,
      0.200379425887263,
      0.356594538304048,
      0.27022430593252,
      0.324233800845462,
      0.203648970698243,
      0.278429109687766,
      0.228946397756249,
      0.528130163071673,
      0.320629954634726,
      0.258349398063679,
      0.300397702247418,
      0.066640201050352,
      0,
      0.401769499151067,
      0.29025384272922,
      0.416594445971867,
      0.357486711460525,
      0.611152103169547,
      0.55903056736799,
      0.0516770315130775,
      0.400880154631257,
      0.337750427770872,
      0.349462734203816,
      0.321746909195534,
      0.0837648095217742,
      0.26149046513955,
      0.453335387089023,
      0.212839612922545,
      0.116632988054584,
      0.386600018731725,
      0.45471052288539,
      0.376135743777004,
      0.410834811569326,
      0.48296978058855,
      0.401901679507388,
      0.0324768430519543,
      0.0863094542700558,
      0.584769924910257,
      0.303676560960564,
      0.336159214142415,
      0.387735292042228,
      0.221182333288414,
      0.14535088730094,
      0.480740662829668,
      0.621224033917457,
      0.229593686960243,
      0.328658154292159,
      0.475594997501617,
      0.552467349576302,
      0.239581329372934,
      0.244481082544459,
      0.250953421352243,
      0.337039194044184,
      0.303515509447458,
      0.410303515403747,
      0.596134122741024,
      0.528986813702587,
      0.361871351307573,
      0.204034541735153,
      0.47675363599788,
      0.400460802460557,
      0.255558469938964,
      0.227061837816965,
      0.237322728609705,
      0.427792160379889,
      0.584991477351777,
      0.354237473842714,
      0.509270540037061,
      0.307508312712311,
      0.377918542639712,
      0.4428410445567,
      0.344703359892469,
      0.513243508726067,
      0.179758359425258,
      0.484401743558071,
      0.522096661758849,
      0.345329323864366,
      0.289031678277358,
      0.333537253421728,
      0.473361483417991,
      0.279286114839569,
      0.445408266543703,
      0.539403314472847,
      0.278779525076604,
      0.218682201281051,
      0.43063119523379,
      0.563682055413278,
      0.34748989401733,
      0.35452704863411,
      0.265186143036201,
      0.169277556583808,
      0.47899021333748,
      0.404119485732823,
      0.374204999023532,
      0.444204324640148,
      0.294197527408288,
      0.156057330319432,
      0.41867259692941,
      0.271004412039793,
      0.349176278817555,
      0.4566864481013,
      0.391472857663801,
      0.350171590762002,
      0.231425934265132,
      0.110595011879615,
      0.577990787591601,
      0.197883739379049,
      0.322716852604596,
      0.347925117482509,
      0.272065626393649,
      0.195890219849017,
      0.563479235646702,
      0.258951455744413,
      0.460241368042635,
      0.250194340297927,
      0.259981089785127,
      0.421288086039741,
      0.520431577960026,
      0.504484135330122,
      0.39417928497864,
      0.356175333391658,
      0.501379533658979,
      0.227008087854824,
      0.403063662323362,
      0.559367635126757,
      0.251643396382103,
      0.261564414120168,
      0.373596704368486,
      0.390963800274087,
      0.402497787396192,
      0.33518099258201,
      0.328876193292404,
      0.510857051252905,
      0.387374999149953,
      0.217315282374569,
      0.475511102983798,
      0.479305047051225,
      0.293076414381901,
      0.382859805558833,
      0.345399749893331,
      0.306450051998587,
      0.279729336905071,
      0.231922922946257,
      0.581268394177438,
      0.339998433403407,
      0.161390191641704,
      0.304740568669652,
      0.344045451342779,
      0.27885108091189,
      0.292111777650624,
      0.332118709879416,
      0.111692303815285,
      0.195643199376991,
      0.215591925298748,
      0.545824780143946,
      0.375884806609885,
      0.153126751429625,
      0.280250016279004,
      0.264598017689787,
      0.229086832801433,
      0.363988607790477,
      0.280953431109563,
      0.437494429578409,
      0.131611762823844,
      0.0997970641635053,
      0.538569532419499,
      0.22091242922777,
      0.233942644857649,
      0.290804033821296,
      0.349789280684254,
      0.288745323079527,
      0.272453814018067,
      0.256584466805979,
      0.557966090599177,
      0.181602989470234,
      0.260591465843478,
      0.318252869872671,
      0.298684759148671,
      0.196891442251857,
      0.240510041193689,
      0.25331532791676,
      0.234398416325648,
      0.362160753356457,
      0.228177165224998,
      0.449087198105153,
      0.00720315690520726,
      0.0165733685216991,
      0.401183821918506,
      0.265286449255573,
      0.353764946794894,
      0.309174626680142,
      0.17896881430361,
      0.547361381980279,
      0.338663094912112,
      0.21807984275562,
      0.435961606620691,
      0.192480783015745,
      0.286148685973475,
      0.297046292158319,
      0.339040097694405,
      0.142858562723652,
      0.134744148124582,
      0.481157524150442,
      0.470600007292303,
      0.131853944803606,
      0.30087345327017,
      0.354690499041931,
      0.333131607914492,
      0.465084025222011,
      0.262502762225893,
      0.278226619157842,
      0.522821577109356,
      0.237440560163751,
      0.10404530260828,
      0.326740160493694,
      0.357512304955496,
      0.26686094958455,
      0.32455771050554,
      0.259819900476408,
      0.230119205014934,
      0.0770750473620992,
      0.176908090536593,
      0.536306928744666,
      0.116206765257406,
      0.372947004145191,
      0.264700812427564,
      0.165162803276811,
      0.229632428490367,
      0.0599101813242641,
      0.203466690616962,
      0.439621455964638,
      0.355958177148968,
      0.378825872860182,
      0.403298535279484,
      0.0518976166846469,
      0.24339088490936,
      0.418736525282034,
      0.28888365607679,
      0.173927634233552,
      0.139039631301384,
      0.0150993045421923,
      0.554899712865335,
      0.17311360967025,
      0.122596947141386,
      0.228676399734608,
      0.107772169282611,
      0.255650884183708,
      0.243300964497874,
      0.501926455987731,
      0.211573297874264,
      0.11804908803145,
      0,
      0.155920314221248,
      0.101209273074884,
      0.240149203262766,
      0.207617530820866,
      0.0900422444496096,
      0.364665353000219,
      0.290512317145741,
      0.398920969646868,
      0.195178775926699,
      0.221148485353944,
      0.296326306288041,
      0.269617346100524,
      0.17544963484671,
      0.415473112109461,
      0.208564587891482,
      0.270297688624649,
      0.14063635249489,
      0.254537970115053,
      0.306497943817195,
      0.249954149133609,
      0.194426491868603,
      0.501528533160102,
      0.161368389646068,
      0.252163677047302,
      0.310383073243414,
      0.234484339798568,
      0.230829451872081,
      0.20792251940247,
      0.45359038999719,
      0.317099206779486,
      0.219762214114227,
      0.329808229329643,
      0.439219242101642,
      0.103357124251319,
      0.148455715168088,
      0.317570587198083,
      0.313427594593818,
      0.0945117453651173,
      0.525994335151924,
      0.19431275088092,
      0.434593867011274,
      0.204541840512501,
      0.261700032591661,
      0.299717903661169,
      0.147189040783002,
      0.026455566904055,
      0.138112139625086,
      0.108737174684921,
      0.239717518492262,
      0.150050027162268,
      0.098891797656783,
      0.491738453784073,
      0.0935983129722149,
      0.136621970487557,
      0.396017620703409,
      0.0271845583840137,
      0.0987987216170012,
      0.125385624636531,
      0.167407848565835,
      0.140731013616905,
      0.233278166067406,
      0.202673819678879,
      0.604194043813507,
      0.12748981188345,
      0.117921990370957,
      0.376003572510579,
      0.058448446535413,
      0.178162950342922,
      0.178659888803653,
      0.338149623058444,
      0.430055593869838,
      0.373670119532421,
      0.298150630647197,
      0.457270104461586,
      0.271195817806355,
      0.243034126558773,
      0.289255591579673,
      0.333458699044105,
      0.200474531559353,
      0.239041750180916,
      0.214566558020154,
      0.608005068838309,
      0.175232426081343,
      0.156621363555385,
      0.290719319834911,
      0.0330790449178055,
      0,
      0.353848298403589,
      0.223353435459395,
      0.553024158596834,
      0.437440556758259,
      0.257783210379579,
      0.456544656068166,
      0.244770318049234,
      0.505009765917083,
      0.309354783245126,
      0.309015761570099,
      0.10350804485982,
      0.0232078419634568,
      0.382034431372915,
      0.506446563165683,
      0.265597515644564,
      0.199680478068905,
      0.347047889042318,
      0.379965915267675,
      0.215835921797164,
      0.463585972242242,
      0.108734825753155,
      0.551328560540164,
      0,
      0.102384446022156,
      0.556383330078515,
      0.249491182199245,
      0.285875922864092,
      0.151495977191816,
      0.161298139231745,
      0.300012069825143,
      0.229703833507831,
      0.245862034135972,
      0.516531540478361,
      0,
      0.4723612097018,
      0.430797991255812,
      0.276962371792732,
      0.483383670971383,
      0.140322058047742,
      0.35421964287088,
      0.378908641739005,
      0.315645277079794,
      0.506968968548239,
      0.605208726700649,
      0.40269095213994,
      0.420165408892055,
      0.338975550135544,
      0.245068996721009,
      0.0935887260435502,
      0.0256309871328692,
      0.260763528077468,
      0.4231773359768,
      0.164316915642227,
      0.37894683302226,
      0.4146157777704,
      0.214674334239264,
      0.386312631288929,
      0.306899985792166,
      0.266133083513302,
      0.54282191882839,
      0.177852761718586,
      0.4384547851148,
      0.598307611766152,
      0.280840742623192,
      0.290388149593054,
      0.28074652070778,
      0.262632405515577,
      0.305412298522064,
      0.347765885648139,
      0.32912799772078,
      0.310505870219672,
      0.296855319931107,
      0.354439247551632,
      0.479941620850994,
      0.406869832155927,
      0.379712773745416,
      0.262579125229273,
      0.144741633868261,
      0.447323425868018,
      0.34782904691563,
      0.2588172684504,
      0.573778602800708,
      0.283983191151175,
      0.353884895925521,
      0.353293192129784,
      0.328653804612947,
      0.389894324227126,
      0.437603743288104,
      0.399976466487495,
      0.250927131783364,
      0.255692244827438,
      0.126844034079535,
      0.531660944218977,
      0.212035958157491,
      0.329205309337313,
      0.325839584607449,
      0.337676015333907,
      0.0788888762136823,
      0.328429815139792,
      0.282268140620482,
      0.516978997048411,
      0.132870189922034,
      0.267145833777617,
      0.368145077331921,
      0.279443940499909,
      0.45565523634381,
      0.303700484605998,
      0.23946251061739,
      0.560914972673058,
      0.207138641830099,
      0.277112122336414,
      0.574929401232015,
      0.224181498342736,
      0.323508283908857,
      0.326609435777097,
      0.377135953726745,
      0.368245287780374,
      0.290026625641089,
      0.282731475900863,
      0.507591614041889,
      0.159215388599696,
      0.159411272796587,
      0.434468599785819,
      0.230296015719159,
      0.141048798434336,
      0.521185677469514,
      0.360511449646202,
      0.265353561582713,
      0.229293621005293,
      0.250660688819449,
      0.595037464508549,
      0.363025108890443,
      0.266852965820523,
      0.284283127590461,
      0.173456884739729,
      0.291242297813148,
      0.148934150878831,
      0.106212484752523,
      0.168379830454652,
      0.04834233986717,
      0.120644825302825,
      0.510183752070885,
      0.0710725399438512,
      0.178131202082435,
      0.265913964027639,
      0.292057187307409,
      0.17446123566233,
      0.262197777154013,
      0.227015557428856,
      0.558344212545313,
      0.112584691226752,
      0.207859232348855,
      0.475243364623402,
      0.104787553544281,
      0.176764716822368,
      0.211862016295916,
      0.339880608744222,
      0.196599982810009,
      0.29955870573503,
      0.258503443874866,
      0.539007833516137,
      0.282705061599305,
      0.275094149260377,
      0.326424333658989,
      0.277401537914163,
      0.198602631960111,
      0.289496358924659,
      0.131115531211028,
      0.512027091203248,
      0.252165644512614,
      0.169438599869578,
      0.388782061968748,
      0.0399680190429696,
      0,
      0.42926729925536,
      0.282445905751,
      0.257087679834381,
      0.267089232385157,
      0.495080195073432,
      0.566388156242047,
      0.0204497521841589,
      0.376101172313851,
      0.317770342906258,
      0.279087647176159,
      0.340506896330529,
      0.0692717782075875,
      0.216163254717378,
      0.429179842131865,
      0.21152357656497,
      0.0775942317171221,
      0.406366358564409,
      0.483126196934801,
      0.251545936324244,
      0.386959846094576,
      0.449077622899592,
      0.304258541733863,
      0,
      0.071952764927022,
      0.594443479198901,
      0.1778167717035,
      0.302233966098725,
      0.314808736557601,
      0.190863161025514,
      0.104138402134074,
      0.320572626350578,
      0.584803973881029,
      0.218797347672981,
      0.340745559878499,
      0.540742502995862,
      0.52950306807737,
      0.248192950308903,
      0.253881659874921,
      0.231913677348522,
      0.322818048744007,
      0.257182026867441,
      0.411017098409117,
      0.518482059221814,
      0.557178083839699,
      0.343240630734597,
      0.187699348440805,
      0.308410871516749,
      0.23679221097239,
      0.0713569483996414,
      0.217998302809758,
      0.0771966847102133,
      0.272461618359206,
      0.461677279544466,
      0.193613569365615,
      0.509305447382253,
      0.226545158826877,
      0.348149410790673,
      0.471455259071281,
      0.336595942340019,
      0.373715517101049,
      0.165011992259074,
      0.348567881773539,
      0.505238381484808,
      0.321550672053176,
      0.355029772572718,
      0.363727645925948,
      0.369377389476664,
      0.219906822344508,
      0.322114141115077,
      0.394793446289937,
      0.238438827468734,
      0.213183351338904,
      0.443202920152581,
      0.576080572050859,
      0.375782161776186,
      0.30670406013937,
      0.209444912847149,
      0.0835266458646574,
      0.419503350215737,
      0.284719410095857,
      0.311667799826597,
      0.430688288252679,
      0.251654568440579,
      0.210740414961173,
      0.404136899986147,
      0.357180531259109,
      0.393158613487573,
      0.484703595508507,
      0.39513943763715,
      0.308042943881439,
      0.232186561747302,
      0.0863660332623674,
      0.575756304981153,
      0.162830609330543,
      0.256724814300274,
      0.277132943470712,
      0.281945231286412,
      0.204638748852624,
      0.381867362400018,
      0.344884847655266,
      0.524772068923933,
      0.167541125844974,
      0.207091849954115,
      0.419955558662994,
      0.403117536143203,
      0.538130402519797,
      0.326603168120902,
      0.353745746500545,
      0.566246085462545,
      0.301391548973301,
      0.332898762240218,
      0.546945167455683,
      0.250641630276288,
      0.229067672758831,
      0.357115799541598,
      0.301747673526134,
      0.443581916949756,
      0.22942791682793,
      0.292447042782594,
      0.485088723173203,
      0.239483786813294,
      0.180086469482121,
      0.495576224411666,
      0.329836906250556,
      0.291960801925142,
      0.388075485034862,
      0.335522396358832,
      0.248576528178807,
      0.226500301079049,
      0.253682748624712,
      0.531962902676337,
      0.326211354469365,
      0.17645929302105,
      0.323349295406484,
      0.331833315824771,
      0.270864677539865,
      0.228261723187777,
      0.316342319764207,
      0.0876550009411526,
      0.277925053423574,
      0.256415506350833,
      0.54994213357627,
      0.158636338100587,
      0.14059538153023,
      0.287661567623047,
      0.256795777282986,
      0.251665703133701,
      0.271261656617543,
      0.217992741798374,
      0.419697942219781,
      0.101127360469119,
      0.0740319491617351,
      0.593338694964523,
      0.158678702877633,
      0.153442153367911,
      0.271389014556938,
      0.299792987200986,
      0.180337178043388,
      0.219882604400849,
      0.324038519357324,
      0.565527827502738,
      0.265044033154759,
      0.25706807073704,
      0.373151604645981,
      0.0986642969748277,
      0.177043521361122,
      0.134109747884008,
      0.206721228240103,
      0.21706510853261,
      0.215275857874075,
      0.0828822777128785,
      0.427228718291827,
      0,
      0.0152292331926814,
      0.432773179455352,
      0.136456500672631,
      0.262999177624224,
      0.257192623155885,
      0.196602944957996,
      0.533656676770331,
      0.191411369697284,
      0.169195683162198,
      0.412055901357345,
      0.128711491305849,
      0.225708119295804,
      0.264906347275383,
      0.418390539086136,
      0.16412637352956,
      0.10747321819302,
      0.508922153378027,
      0.444271847719979,
      0.23515274778591,
      0.302700950902897,
      0.309845390085758,
      0.334704807285742,
      0.417141234733018,
      0.131873265399824,
      0.212553979771383,
      0.526431074835951,
      0.254304906404075,
      0.0471476870038043,
      0.320619725677257,
      0.262874174511738,
      0.272886605883766,
      0.31874222760215,
      0.225635637311172,
      0.25765600374265,
      0.106423347937373,
      0.186841021611876,
      0.550569353023486,
      0.0910547611796441,
      0.328057170467647,
      0.233615514946244,
      0.133789799158825,
      0.138542313000787,
      0.0115375169262749,
      0.26365103603935,
      0.438067095007643,
      0.339622834019385,
      0.23220155092719,
      0.399053447529442,
      0.0871169494705645,
      0.269933092560715,
      0.405242608895826,
      0.30797017373374,
      0.00963375616267758,
      0.107099203991377,
      0.0727910485529154,
      0.574952199999894,
      0.206865599856551,
      0.146677135119587,
      0.187605549595491,
      0.0972466534122347,
      0.258043426581673,
      0.210960504513282,
      0.352379157536103,
      0.173619632067514,
      0.133666735423446,
      0,
      0.188543195893614,
      0.028622714803493,
      0.0784928876373669,
      0.11191172262309,
      0.0348898058091632,
      0.265504062979744,
      0.26469730343664,
      0.31709225309753,
      0.250367923254816,
      0.217664231105625,
      0.222535163248672,
      0.254655919051834,
      0.196826897467669,
      0.328414077872613,
      0.0459189070153725,
      0.216746557465972,
      0.165105783169012,
      0.222215490532299,
      0.166630498330491,
      0.25456603281381,
      0.405622505343742,
      0.291586154545664,
      0.19130402934471,
      0.0649668490783911,
      0.130597974489059,
      0.166961860827813,
      0.249044028163547,
      0.163644583794767,
      0.429255766807222,
      0.413805671459994,
      0.346365588050368,
      0.335159638819591,
      0.392294001439285,
      0.106038375294449,
      0.30916192944194,
      0.211326363924419,
      0.205773879015244,
      0.0638435245905549,
      0.361466924609628,
      0.229567739649753,
      0.313181259689156,
      0.117683519407235,
      0.216398619801517,
      0.153585348579077,
      0.00407906229988294,
      0.124975296494937,
      0.155314343601349,
      0.0902687890901194,
      0.219111027409403,
      0.202337778645297,
      0.113858372285797,
      0.462430423399064,
      0.0578687843447451,
      0.137148874675633,
      0.385071822982373,
      0.0796667035255843,
      0.108658392973873,
      0.13090737749906,
      0.124733634864475,
      0.200882755895246,
      0.171152204166218,
      0.0527708325495014,
      0.551009827058734,
      0.0570912662893445,
      0.150499913875418,
      0.29055658303768,
      0.0442393200506819,
      0.271028330118326,
      0.227157845602717,
      0.291758115216243,
      0.409994578459774,
      0.347452652431474,
      0.339377808239947,
      0.488673315786333,
      0.186910070360075,
      0.246374312831765,
      0.296482535558836,
      0.293598680040114,
      0.215492500086169,
      0.244412137255423,
      0.163289158472504,
      0.56048899181523,
      0.145232013728351,
      0.023657935849121,
      0.280287026260846,
      0.0733199205065923,
      0,
      0.371327414952676,
      0.208952841862028,
      0.471161497086729,
      0.398231061842519,
      0.239204849886205,
      0.470301896705075,
      0.283599252718601,
      0.38677519392336,
      0.245292004056801,
      0.251770111002706,
      0.0426427339494697,
      0.0120671276513461,
      0.368402319101213,
      0.509997032807711,
      0.386397919361374,
      0.309850295828411,
      0.329742275720576,
      0.465418598513325,
      0.372331841406684,
      0.457496799269119,
      0.176912942099474,
      0.413446860937943,
      0.01508172695663,
      0.248040255842502,
      0.532715670021008,
      0.32877198483573,
      0.243201813400249,
      0.29059331423941,
      0.143465954431613,
      0.131827851192251,
      0.244009632417414,
      0.106837752052709,
      0.484963931559289,
      0,
      0.499449828242733,
      0.437466004068743,
      0.348716825584473,
      0.342192081971357,
      0.0129842392837287,
      0.33154936826065,
      0.474424158763847,
      0.363138688260695,
      0.501563340144946,
      0.560718664243867,
      0.406410663650397,
      0.406130123357589,
      0.264653002735011,
      0.216738422270594,
      0.0459682503753652,
      0.166710834593358,
      0.222802707970328,
      0.385966446899886,
      0.145882188606269,
      0.266810440622351,
      0.477700023810278,
      0.251907215731055,
      0.350705287983819,
      0.30951714072114,
      0.252727655873208,
      0.426900929171983,
      0.271607298995378,
      0.381197374973135,
      0.533905947355403,
      0.321390958339317,
      0.228691759348712,
      0.310004958782679,
      0.271344848910811,
      0.324423657467458,
      0.458371771939274,
      0.408614111569113,
      0.248153867152071,
      0.288516918602542,
      0.584726530301802,
      0.502474873807379,
      0.383588422874206,
      0.396937259449331,
      0.279393799409848,
      0.197742421868926,
      0.423684679169445,
      0.434412668084401,
      0.428716571693297,
      0.574899912824365,
      0.530530647140752,
      0.436491178201545,
      0.324984835594485,
      0.446780943136638,
      0.33314889395391,
      0.433120026392236,
      0.339060025020982,
      0.298992061188089,
      0.217688321402565,
      0.0734817138093277,
      0.491338521985033,
      0.220090462143695,
      0.313582488279015,
      0.324670366759976,
      0.272007284082705,
      0.0637715707733312,
      0.232038256346106,
      0.247410143421743,
      0.461188889615976,
      0.0758260093250492,
      0.0802034637719317,
      0.362896027805344,
      0.207761778592076,
      0.232614433714714,
      0.210370020502948,
      0.371363334740691,
      0.424094530028765,
      0.26347320358213,
      0.271148973973248,
      0.539840627698166,
      0.157881719087937,
      0.306348479331496,
      0.327851452862328,
      0.32508539673411,
      0.393921736016227,
      0.390272770085417,
      0.391011431321905,
      0.438507569842286,
      0.220947969191736,
      0.170930288245923,
      0.475320435647785,
      0.207989550511446,
      0.131100122853003,
      0.41679035237276,
      0.334164071238969,
      0.190956954834302,
      0.233850073011848,
      0.346387316897101,
      0.557672398105659,
      0.299634070752523,
      0.210895469753145,
      0.250845476334415,
      0.140817554590012,
      0.270510300056267,
      0.303368941005697,
      0.131818665024648,
      0.160828816141711,
      0.028939884967506,
      0.133037167542489,
      0.525305907340767,
      0.0911722687524198,
      0.164756717263395,
      0.252217350063375,
      0.253472174364906,
      0.195831847338203,
      0.140348233660595,
      0.153786241676211,
      0.511264481708598,
      0.0161027429398933,
      0.214481914896199,
      0.439520785298484,
      0.0954303102701631,
      0.259959169851253,
      0.184650158942187,
      0.307589226405411,
      0.230008934058751,
      0.393419209742856,
      0.292988817592525,
      0.535197529202272,
      0.181807394685891,
      0.284360316150192,
      0.315145559259886,
      0.32293277595188,
      0.247765124196925,
      0.30168578097359,
      0.218104677120035,
      0.474991594674837,
      0.140541289930061,
      0.0879132301843245,
      0.40456815378357,
      0.119785271664596,
      0.00925685319942155,
      0.375094280697621,
      0.186273946429519,
      0.247914982991025,
      0.205035343979552,
      0.343234407891996,
      0.548584681037225,
      0.215334196008262,
      0.284220430527326,
      0.291851854817404,
      0.215262367039134,
      0.501607553117882,
      0.0591745454753073,
      0.129745424137822,
      0.395574499054819,
      0.216710924176992,
      0.264059105600318,
      0.413365675191027,
      0.448884444221759,
      0.413166845574006,
      0.407510841449394,
      0.386304652727278,
      0.22361540573102,
      0,
      0.275660893397643,
      0.555986994040843,
      0.143420898720997,
      0.237344591696423,
      0.346190126568963,
      0.233149556517538,
      0.104424600903847,
      0.19729825189797,
      0.329094881145097,
      0.553581529500495,
      0.256390558831722,
      0.531463905803814,
      0.525056881599614,
      0.32320481684175,
      0.211676584296562,
      0.134508797963676,
      0.359210791327777,
      0.391638456373957,
      0.43697529420868,
      0.516628840426697,
      0.509121554992631,
      0.313420106058914,
      0.197053961060721,
      0.265042754353727,
      0.103298087932612,
      0.0223410686582289,
      0.235077654987616,
      0.133339947998358,
      0.372015154052951,
      0.424700909840462,
      0.10077564954822,
      0.533327129165776,
      0.340985226404191,
      0.390323473861584,
      0.42504742073533,
      0.306000675798452,
      0.428590962759654,
      0.37414741329549,
      0.26869130105869,
      0.478976906096001,
      0.488241052152244,
      0.297093783725303,
      0.396594385639566,
      0.338437761607451,
      0.289389604635231,
      0.463105134880789,
      0.392157521747434,
      0.284060698165554,
      0.214698374717207,
      0.560979244475741,
      0.524661539153401,
      0.435198830396933,
      0.309021957491544,
      0.20444175312028,
      0.195533358581253,
      0.42163753756985,
      0.487016366575121,
      0.420864326041476,
      0.555190866058672,
      0.533192281730498,
      0.429531007866714,
      0.427128075390404,
      0.424786392739989,
      0.305615143463703,
      0.445993564724645,
      0.321019167073547,
      0.299475322035548,
      0.217536710683215,
      0.0818040224856056,
      0.513252519762411,
      0.203300148602716,
      0.233672674070311,
      0.294463416026069,
      0.272789562161641,
      0.204951042283641,
      0.230695504799866,
      0.327295603220595,
      0.414474921559419,
      0.11908842679058,
      0.126180227705094,
      0.455208520392146,
      0.238334585310668,
      0.332531787061577,
      0.353100110577931,
      0.39881039992857,
      0.379333428784455,
      0.363682425876461,
      0.287348933688521,
      0.496834996911872,
      0.193149413789244,
      0.254546964882787,
      0.323851647845777,
      0.250367289623358,
      0.454515230178691,
      0.33131129191945,
      0.391467355638283,
      0.472182908282176,
      0.224366252915997,
      0.207133563634326,
      0.512764004618551,
      0.2627372264836,
      0.26155152736162,
      0.329669834486648,
      0.308093064893254,
      0.157381802527545,
      0.245788784019032,
      0.412756771049319,
      0.470747781332068,
      0.291713963910261,
      0.195255837247552,
      0.358068149668659,
      0.316575611243647,
      0.277050333081129,
      0.334039061740147,
      0.29067730683859,
      0.259483838913238,
      0.212709701148075,
      0.266155895935004,
      0.521426349592928,
      0.221439144466182,
      0.284053345820955,
      0.296117598456284,
      0.339225569417856,
      0.227706999416571,
      0.176879045077342,
      0.142142149844105,
      0.384856216201932,
      0.0552466599319347,
      0.124328730604344,
      0.491398863568747,
      0.149672676118893,
      0.300423760159728,
      0.217315167289641,
      0.350759613300333,
      0.256372876852056,
      0.261879787271832,
      0.316059325783082,
      0.529844988494467,
      0.162516344493651,
      0.25748518769564,
      0.363422463163167,
      0.252976024872641,
      0.257914114952454,
      0.252189115054745,
      0.231589559953578,
      0.23294445845978,
      0.125263872249552,
      0.0381879541712844,
      0.483653016213149,
      0,
      0.0275211576038699,
      0.409872006824841,
      0.143255966091234,
      0.328005688181561,
      0.31951300835591,
      0.241192131182577,
      0.503187431069477,
      0.191858688306289,
      0.140697280601897,
      0.301391511110002,
      0.156453499588341,
      0.322541327557914,
      0.29373586249022,
      0.385856238870155,
      0.150740015463231,
      0.198377670989142,
      0.361659428925236,
      0.469236146746038,
      0.40068112175329,
      0.259922310989746,
      0.260327741668455,
      0.318795829005199,
      0.280337006876909,
      0.270002260377641,
      0.327933958633808,
      0.470835770409353,
      0.277750188899271,
      0.0580936658158539,
      0.303616868529913,
      0.0848401029227112,
      0.293034829499675,
      0.309239132856793,
      0.254585559346124,
      0.307807935949426,
      0.156360606753478,
      0.296424574012793,
      0.525436201597478,
      0.219823713606178,
      0.239228759417914,
      0.203550446334548,
      0.15261881641446,
      0.177015059211691,
      0,
      0.280819665288555,
      0.414380127244413,
      0.287114382212587,
      0.262714650985882,
      0.436351765749584,
      0.0500252552207256,
      0.247610557462872,
      0.274581575205271,
      0.464469483539358,
      0.16502427933145,
      0.201560164775164,
      0.0685183777867244,
      0.535438660846335,
      0.327871422452773,
      0.210291986470573,
      0.161952480128567,
      0.0445713767013772,
      0.295325306779189,
      0.226983868300336,
      0.207744529562098,
      0.151113406884276,
      0.121618688887751,
      0,
      0.207203018146951,
      0.0666773322844564,
      0.169146883602995,
      0.206084079585993,
      0.0512963030355518,
      0.249663557126705,
      0.286858442675557,
      0.322405124651024,
      0.319913837699432,
      0.355622061131783,
      0.250964802371038,
      0.35739207511479,
      0.202621315642813,
      0.182748931537145,
      0.212492497137265,
      0.168092454301611,
      0.100499196878711,
      0.189249521233545,
      0.171805635294251,
      0.332451859716168,
      0.440198083057424,
      0.216760881824368,
      0.270798461606022,
      0.0752698161323528,
      0.199679946072184,
      0.180059796244774,
      0.301960266915962,
      0.205692516200072,
      0.359772159165936,
      0.462826642374337,
      0.501006012804335,
      0.401442941549937,
      0.351703000559977,
      0.16394931161812,
      0.425283670897053,
      0.180351295696141,
      0.270168127339036,
      0.0106115411260289,
      0.407019369889637,
      0.292665827877034,
      0.354339138709,
      0.264885517215859,
      0.255145242854952,
      0.198734989980113,
      0.157986343156294,
      0.140374310939158,
      0.152386947336311,
      0.0844716644300539,
      0.230457945049772,
      0.214161019627895,
      0.271513406467937,
      0.41295602569729,
      0.114013476421631,
      0.20043215217509,
      0.404558151002251,
      0.167549716304525,
      0.117921519191692,
      0.155779759728845,
      0.0636520096364549,
      0.177172628986273,
      0.161376738964648,
      0.0544792020801514,
      0.552730155195199,
      0.0403981348235678,
      0.258134461887323,
      0.271880672184172,
      0.191600033636553,
      0.273052178561352,
      0.241716894377986,
      0.343942979065707,
      0.412744108014066,
      0.419205131564189,
      0.248291105982632,
      0.487730000427835,
      0.253529448477906,
      0.257368788964268,
      0.336591973070451,
      0.319487627662214,
      0.18346630112319,
      0.311463620692936,
      0.273855219800947,
      0.566203572147342,
      0.146175103383798,
      0.14716085822907,
      0.218157846113869,
      0.165542994565866,
      0,
      0.446475776834925,
      0.232428293614944,
      0.221961842889974,
      0.29789302764408,
      0.182814351490684,
      0.456528590346639,
      0.259399017115214,
      0.31401034523133,
      0.310423276019554,
      0.338611132368483,
      0.0415301741509232,
      0,
      0.467030353255623,
      0.499009397797311,
      0.526384276351902,
      0.382245787614876,
      0.29451708000708,
      0.456195020677371,
      0.470023584463647,
      0.427165716182292,
      0.265130777954031,
      0.428432943022281,
      0,
      0.288919256822718,
      0.561110594108112,
      0.439874478423184,
      0.344230845982676,
      0.324048685888617,
      0.298193225638933,
      0.146763706120676,
      0.244865627697399,
      0.0597537448090352,
      0.549598961349546,
      0.0149640066732194,
      0.637212659614209,
      0.444597061810654,
      0.47698026200709,
      0.370392672285771,
      0.0562797531000051,
      0.355893764755197,
      0.528505334139114,
      0.429167258457197,
      0.52890848213169,
      0.571260927557286,
      0.528948421745924,
      0.486209533075683,
      0.356914398917459,
      0.316234363969181,
      0.0732021641758091,
      0.233367036368422,
      0.287655631022173,
      0.353451361057573,
      0.224777860873971,
      0.236108460646575,
      0.588612422504438,
      0.321058179463182,
      0.480941251834766,
      0.323520402880103,
      0.299855138333602,
      0.490622138675969,
      0.361146940619894,
      0.370839915209803,
      0.533844885868697,
      0.430379733820775,
      0.309125922062971,
      0.343054358022182,
      0.283692118580018,
      0.380019726522483,
      0.465759430029582,
      0.490588115023967,
      0.272561852551533,
      0.230830815708641,
      0.596620621560568,
      0.589226127205851,
      0.564741642073509,
      0.387335007845524,
      0.311758071641978,
      0.147982370234424,
      0.313805544022575,
      0.527124736550976,
      0.575356878132344,
      0.579405776723086,
      0.532451724521994,
      0.370632982610249,
      0.329343035219145,
      0.461671013558394,
      0.434607616535877,
      0.462736537507384,
      0.341984562643629,
      0.418334165362283,
      0.386538046097972,
      0.111844909866961,
      0.512731923735073,
      0.206871000543466,
      0.334574707410972,
      0.421532257252499,
      0.429887714976201,
      0.0441226902555484,
      0.29992009483689,
      0.312314580846995,
      0.416138057709538,
      0.0905564163620882,
      0.20617400205932,
      0.338060016383294,
      0.250047394742468,
      0.257178388748465,
      0.296102509883697,
      0.473206871021609,
      0.25614503892745,
      0.38851462001642,
      0.303799429452848,
      0.545804787781271,
      0.254331119055607,
      0.372073580501841,
      0.331688545305856,
      0.302773170297264,
      0.412223965397177,
      0.467045254032325,
      0.444988756446603,
      0.496000830108835,
      0.245452322823556,
      0.300279907014309,
      0.472751614941117,
      0.308261003176993,
      0.156386156431866,
      0.331797209417656,
      0.318006992415366,
      0.256045683500662,
      0.253545080534129,
      0.346306795366718,
      0.558877630570016,
      0.324716282303635,
      0.304635466848992,
      0.283380063885877,
      0.210762200466608,
      0.266409574438962,
      0.337488921879728,
      0.292586472857481,
      0.191355741393332,
      0.102046614293773,
      0.199060496790465,
      0.49379297405031,
      0.138176207385966,
      0.267125039763955,
      0.30577541606886,
      0.334419907213968,
      0.200621509600656,
      0.20029452782465,
      0.123364604207996,
      0.497456575854072,
      0.0327910371596499,
      0.254024373045213,
      0.337010414400795,
      0.151827891105534,
      0.267472819290629,
      0.214089128167131,
      0.354635970005893,
      0.379767985365881,
      0.450431124357633,
      0.232564523389378,
      0.561118506716985,
      0.235682928530823,
      0.386547735309008,
      0.301865261274485,
      0.302439087548931,
      0.182315148775116,
      0.199545410942603,
      0.248723206462559,
      0.465696810386384,
      0.169146902230711,
      0.160508551751126,
      0.401406261913086,
      0.162778682655551,
      0.0449894670096714,
      0.440122294496385,
      0.182014702672326,
      0.283974071049273,
      0.346644627408106,
      0.358713285571661,
      0.641646839369044,
      0.327885575619833,
      0.34503716681905,
      0.352363454323616,
      0.31936962801782,
      0.644968796590825,
      0.0897516864312615,
      0.198599816936963,
      0.428340320522209,
      0.345640123679252,
      0.289283355742574,
      0.351740241388663,
      0.414266181338287,
      0.52862966365241,
      0.398173586844451,
      0.409941523180209,
      0.322897399685002,
      0,
      0.316790595645186,
      0.576856742129456,
      0.259645386014023,
      0.338764838008369,
      0.383722650505224,
      0.340258409193709,
      0.146912683955284,
      0.240024099137878,
      0.231178130726025,
      0.667792291654042,
      0.206887530852806,
      0.410343919433271,
      0.569332134502306,
      0.300793724515044,
      0.296142068583248,
      0.205793451730259,
      0.467436057369476,
      0.511627051801664,
      0.484708959959853,
      0.54362078105152,
      0.51457728254081,
      0.320961863856376,
      0.259812469716759,
      0.232420704923308,
      0.102264842837099,
      0.0624324180559158,
      0.268557649380527,
      0.262301062228235,
      0.386313490143297,
      0.367735426598271,
      0.131363268454993,
      0.613769755388819,
      0.370271582370432,
      0.495676104268992,
      0.516133046307074,
      0.373418180993538,
      0.453433321959828,
      0.468257844220864,
      0.263432743710248,
      0.429690504197263,
      0.581002549096131,
      0.317882954450276,
      0.420907288489282,
      0.34143197348881,
      0.306639067932353,
      0.453327224361526,
      0.441498053267077,
      0.23140787861949,
      0.218479716581727,
      0.566292019610675,
      0.618442841545781,
      0.572668920228682,
      0.45653447115506,
      0.187115594160377,
      0.0940754552736582,
      0.354392477437809,
      0.550770125682695,
      0.563365332130192,
      0.561531442602314,
      0.545909225641766,
      0.421572880256973,
      0.46006909160952,
      0.440228129672176,
      0.445502979920199,
      0.468365781359892,
      0.241771625248949,
      0.416723143541078,
      0.364178529054502,
      0.1534695296832,
      0.534660450571102,
      0.21272982058159,
      0.325362563466498,
      0.378746114300549,
      0.3877930291428,
      0.158038961128977,
      0.221527541311305,
      0.32546526087421,
      0.245442493974795,
      0.041898047825376,
      0.212210844046407,
      0.443890233702802,
      0.33240541563455,
      0.323012786158263,
      0.426332720606893,
      0.483888637301565,
      0.241147401983288,
      0.350985732491357,
      0.330522638167636,
      0.494951069062703,
      0.265374009253118,
      0.311413534151427,
      0.380715816605496,
      0.252949131459504,
      0.520713163186377,
      0.515379372460293,
      0.441220533876367,
      0.475985590009067,
      0.276530497936646,
      0.155635858777329,
      0.553051249858486,
      0.285236606726301,
      0.349760366701135,
      0.276973611484065,
      0.24388400683042,
      0.236217023287367,
      0.301668039961353,
      0.483114195950748,
      0.457424425557879,
      0.292779981453729,
      0.257427102714996,
      0.409001239749432,
      0.34775193639095,
      0.395615436352355,
      0.33568411249904,
      0.264325531226572,
      0.326511545332404,
      0.263211686803665,
      0.287808006651008,
      0.537115771333662,
      0.281085765130312,
      0.217857293450248,
      0.218148839559004,
      0.295556372504066,
      0.27737707746155,
      0.230921049674187,
      0.168324800972811,
      0.349979263796731,
      0.196376580022226,
      0.131522872995065,
      0.45820179594413,
      0.152031653489978,
      0.29314206857232,
      0.200500075431809,
      0.387375303402325,
      0.408363590011958,
      0.347302180553064,
      0.264657911651385,
      0.544475279685996,
      0.265437506366052,
      0.310893905638043,
      0.331471009173593,
      0.299017450501833,
      0.235835367989464,
      0.163865121950766,
      0.258319946558964,
      0.30377119479857,
      0.217805591863576,
      0.12949318493846,
      0.521352083235945,
      0,
      0.0657482383799743,
      0.412785225228707,
      0.176183692537476,
      0.32047686629484,
      0.30526453800663,
      0.244956691846427,
      0.502818492188001,
      0.298505952654847,
      0.225952694693353,
      0.380276023620112,
      0.189817642543849,
      0.429726706009863,
      0.279180275183911,
      0.346295644214863,
      0.127597713856632,
      0.205434924848952,
      0.26392909489009,
      0.499273121653927,
      0.331627529601205,
      0.340183727306888,
      0.36188258378035,
      0.356107867616121,
      0.397375421616865,
      0.394769164622639,
      0.359001689386792,
      0.426059936726998,
      0.252974935026256,
      0.126117252810848,
      0.398553160676526,
      0.174913293853232,
      0.262410855762335,
      0.235812595006786,
      0.43008251284796,
      0.257845377143171,
      0.321053483531979,
      0.419130642869818,
      0.550324454459889,
      0.142041606904374,
      0.367892537316044,
      0.157149074100086,
      0.178992322459641,
      0.302543999037193,
      0,
      0.312391764722089,
      0.364728184545952,
      0.386116535911908,
      0.283337122945668,
      0.456440990266711,
      0.0425495822984094,
      0.231319742080601,
      0.28593312002184,
      0.464538122002156,
      0.259190605834057,
      0.225222735661036,
      0.0775900016289089,
      0.540538151958884,
      0.312163178080935,
      0.242514038895836,
      0.177982529131835,
      0.130517793871948,
      0.280616881488574,
      0.37459480370675,
      0.258496203626561,
      0.133313986512463,
      0.0640442740009415,
      0,
      0.398541055572517,
      0.092220147482802,
      0.206854542749982,
      0.297356677384766,
      0.129784154562889,
      0.264786794834276,
      0.306732512238036,
      0.42262896016556,
      0.516879147065991,
      0.331878843997403,
      0.297488971355886,
      0.423411832001228,
      0.167940845516279,
      0.237688185764086,
      0.288795725677982,
      0.206344289674933,
      0.104712355469547,
      0.299855210848886,
      0.281456218240415,
      0.381279511713479,
      0.326412626085396,
      0.238261995142747,
      0.382929803260366,
      0.280219412774678,
      0.240243081095697,
      0.199182778975616,
      0.284153975098382,
      0.240921562722009,
      0.358699347385932,
      0.553182968603117,
      0.491531996736374,
      0.527391039074352,
      0.487006328185426,
      0.276200297778218,
      0.370337934769342,
      0.200414635254187,
      0.394852539520121,
      0.0977744920781582,
      0.477864848269153,
      0.326047799311685,
      0.398614043359912,
      0.293592224374658,
      0.26958430598133,
      0.345726546704787,
      0.224193965066411,
      0.173344544590654,
      0.1379076564662,
      0.206554344241191,
      0.253880033245988,
      0.177280051655785,
      0.24528684910066,
      0.435965215922962,
      0.2120188761392,
      0.206383955101888,
      0.374660496968152,
      0.322365378595658,
      0.192642322366704,
      0.118499417124304,
      0.13823143451192,
      0.160232208953248,
      0.264700568075988,
      0.0527952457322109,
      0.459793191228872,
      0.16854627391419,
      0.269466503047734,
      0.238711430015504,
      0.1636118984782,
      0.237272149285139,
      0.186529030092229,
      0.296286314919719,
      0.382910842602229,
      0.464882197599966,
      0.219878203209796,
      0.459355236789351,
      0.203475941254209,
      0.292939033743103,
      0.244004665385185,
      0.306813514903576,
      0.172585439746746,
      0.247159157183669,
      0.142396069923915,
      0.500411835022624,
      0.337303890887304,
      0.0995839672222801,
      0.220065198183674,
      0,
      0,
      0.313552717698139,
      0.145583291574074,
      0.248978228139073,
      0.326284104151068,
      0.556697550466214,
      0.391217759375346,
      0.197576896242988,
      0.351113518116367,
      0.332882866420658,
      0.366894912269703,
      0.218077148064702,
      0.313189203274727,
      0.455571199262256,
      0.495249370389859,
      0.587313785769343,
      0.570182867247586,
      0.333808097754987,
      0.302534480178587,
      0.421280077041444,
      0.472019356143667,
      0.262488335489443,
      0.419053729019425,
      0.220542146180332,
      0,
      0.525318680779313,
      0.338866008172373,
      0.395010769596132,
      0.161437293214002,
      0.247645099633308,
      0.354374657056061,
      0.284729662467552,
      0.142906812277297,
      0.452413466183818,
      0.109513698879917,
      0.467158749293475,
      0.466439892384052,
      0.55937692148984,
      0.440170315162737,
      0.319200729899501,
      0.35545147392262,
      0.464302662756926,
      0.531777443610407,
      0.59534380204323,
      0.545397194299545,
      0.422307393320466,
      0.403578709063888,
      0.3351584964485,
      0.293362659788274,
      0.0894032680581192,
      0.111684145790624,
      0.324661714308717,
      0.357778681065286,
      0.222535333270711,
      0.256012276638859,
      0.438965612225368,
      0.472290210370209,
      0.28470729633107,
      0.514070221586022,
      0.265021357771178,
      0.393952788145719,
      0.320134433562818,
      0.538949879854092,
      0.475130739488929,
      0.365033547855979,
      0.293624440057607,
      0.255889688098269,
      0.408923132051738,
      0.240211519654,
      0.359577284369263,
      0.367045310338876,
      0.226158425464138,
      0.296441564753554,
      0.325965930889613,
      0.574750322677476,
      0.562350114453831,
      0.462184149811601,
      0.418338719675285,
      0.323738263432937,
      0.391957620986095,
      0.416257930592396,
      0.433160558246039,
      0.477765614698242,
      0.393544214937146,
      0.34073446239625,
      0.415815247981664,
      0.297260524620944,
      0.412876991178175,
      0.44183714862058,
      0.412271337782091,
      0.295595174616788,
      0.283292403873782,
      0.147883873720174,
      0.44578738352145,
      0.249362711110913,
      0.377794426344559,
      0.448750894714378,
      0.448373814151865,
      0.0931172768911487,
      0.451648275405433,
      0.245592663552776,
      0.440041034544996,
      0.216184926371836,
      0.233480432719921,
      0.338649819041702,
      0.344602150332972,
      0.352146101085806,
      0.450940311717088,
      0.448569589903886,
      0.274929744963399,
      0.410997770830619,
      0.27656447162766,
      0.46790261748818,
      0.235012897062865,
      0.384152236576619,
      0.308478726326338,
      0.273463453355364,
      0.486672611674685,
      0.475503478525436,
      0.466037183504895,
      0.53360957343322,
      0.319699967448895,
      0.316112220206137,
      0.45349506808703,
      0.382628407480591,
      0.172204380188907,
      0.45668648548488,
      0.250759825695577,
      0.284471377096671,
      0.35079919812462,
      0.232798130513748,
      0.521253330413894,
      0.287378549868846,
      0.283011987489842,
      0.249353512274534,
      0.192563048078207,
      0.293861267401015,
      0.148191312183473,
      0.25084530115063,
      0.262934150896372,
      0.198513812858627,
      0.207041419478326,
      0.460633905788735,
      0.317829420592814,
      0.275602421444874,
      0.323633869586952,
      0.359763664547694,
      0.245463927736329,
      0.257164246798822,
      0.0949465794763068,
      0.456252353496112,
      0.150758718692978,
      0.228217245733067,
      0.340927439485987,
      0.256642533441354,
      0.201204967694281,
      0.22761987217799,
      0.222246798888083,
      0.351088219269359,
      0.346781007241917,
      0.249195169825389,
      0.495017542520369,
      0.203499471162485,
      0.396712006949259,
      0.281453485713485,
      0.277514364961204,
      0.163441817230663,
      0.259102876644929,
      0.124521110543849,
      0.445355906424679,
      0.25514834806324,
      0.133310584816235,
      0.380093608491914,
      0,
      0.02772290146212,
      0.310986047298669,
      0.223874631803986,
      0.442399116735751,
      0.374231686420247,
      0.439120014254797,
      0.499093728756047,
      0.146724108661607,
      0.35060829873655,
      0.342278285921544,
      0.283277924310134,
      0.457184850728981,
      0.244573341542844,
      0.147201560713276,
      0.369962505922366,
      0.490270098346867,
      0.274578034662801,
      0.387141072443597,
      0.472961810419999,
      0.397181854695907,
      0.506506410495479,
      0.489613132089373,
      0.321782150573267,
      0,
      0,
      0.473418113542845,
      0.247010829525905,
      0.634243197239133,
      0.259186017271897,
      0.191468596003967,
      0.134824944533216,
      0.373805408937266,
      0.356319226461801,
      0.412932880331045,
      0.334057449198632,
      0.352179913744331,
      0.5579345606793,
      0.394548050674155,
      0.342816240404831,
      0.300970233593644,
      0.29654736009122,
      0.352387347496269,
      0.415879247100194,
      0.549951344800742,
      0.515157889252408,
      0.285567038503943,
      0.168048219585688,
      0.332648324969187,
      0.136694173833414,
      0.415958706887375,
      0.0169669477190792,
      0.169102246964891,
      0.425979166747479,
      0.420783124150469,
      0.191619024242922,
      0.48832579720654,
      0.509221653246074,
      0.385902418827861,
      0.520118150419208,
      0.379494563739922,
      0.394422726387221,
      0.284317806237557,
      0.321515021122229,
      0.544774602445901,
      0.417786079483914,
      0.462337964017931,
      0.395496379594013,
      0.407175703594816,
      0.19594131532061,
      0.365884128204031,
      0.328062744019522,
      0.211641546440204,
      0.218176639810579,
      0.388851074974521,
      0.599405592616628,
      0.556464424185479,
      0.538831149164572,
      0.327775883866395,
      0.367188604572057,
      0.454752557659374,
      0.373721485793864,
      0.461833713754932,
      0.417890759230389,
      0.314505699027334,
      0.24853138908445,
      0.442727046032455,
      0.284285369965498,
      0.356834960691134,
      0.407746888090737,
      0.351190283228553,
      0.29571892208494,
      0.261549784575487,
      0.094685761128313,
      0.494594204627403,
      0.207531524226219,
      0.295708317877399,
      0.424180211034215,
      0.393460340029622,
      0.192138672666472,
      0.338526131757028,
      0.27903122264269,
      0.238288903535386,
      0.167017222843372,
      0.216767697083846,
      0.407061983572836,
      0.376757737472312,
      0.425067216264279,
      0.464164529189897,
      0.414773402738413,
      0.286345313890753,
      0.385500145657087,
      0.190978347064459,
      0.46294426602503,
      0.283500812612945,
      0.245000437105687,
      0.358171453930955,
      0.210126251986336,
      0.53047003411652,
      0.477031701869917,
      0.448313199061754,
      0.537177129214373,
      0.44651670769051,
      0.226656566367178,
      0.503671034257925,
      0.353775081564019,
      0.35786438231484,
      0.315611563748628,
      0.298284230677689,
      0.28958188829158,
      0.415940614095091,
      0.399488137792306,
      0.502556076579059,
      0.320091743488389,
      0.232858643759143,
      0.340318521107839,
      0.179122906249271,
      0.329321885666912,
      0.255386186097877,
      0.237474548172567,
      0.254161962913199,
      0.250339836415334,
      0.190497375358267,
      0.502735721837022,
      0.303148849597968,
      0.178673306519264,
      0.260482256839789,
      0.235640024454092,
      0.286712250487793,
      0.284190102378131,
      0.134617207050174,
      0.36186190835313,
      0.150381858882846,
      0.12154417323246,
      0.477191574638951,
      0.319597536818775,
      0.210662180618754,
      0.271229528127678,
      0.265569189517819,
      0.377564371325444,
      0.253516762064359,
      0.303952149138439,
      0.484477309209806,
      0.211995160181743,
      0.28633166349862,
      0.338130413522203,
      0.295796045311771,
      0.239669777182382,
      0.206763577523445,
      0.24459892357754,
      0.191877213802234,
      0.262357848238569,
      0.0939230530867876,
      0.48709163603941,
      0,
      0.110415406094002,
      0.348181815782096,
      0.159957048752344,
      0.38957834714018,
      0.373166403053484,
      0.189522784002227,
      0.500363639988672,
      0.358248408210613,
      0.196614089854558,
      0.435855475846958,
      0.198180874355405,
      0.462254094317507,
      0.228232280864518,
      0.322016437771084,
      0.123987690619061,
      0.136907151897775,
      0.323262072616366,
      0.432859350344945,
      0.163207222311469,
      0.350463076386788,
      0.375739275889709,
      0.361288787237977,
      0.449394447831667,
      0.358633643064611,
      0.234025513869224,
      0.437512552757631,
      0.301857375855212,
      0.299169573449732,
      0.467940479904358,
      0.320729140508436,
      0.26990538634967,
      0.14607490982639,
      0.48650594722075,
      0.292538801141631,
      0.347330879293426,
      0.306406455509965,
      0.504153196111769,
      0.0780016649107738,
      0.419731935846165,
      0.175850194517534,
      0.247383219367971,
      0.409541248068057,
      0.058726849133434,
      0.358834258435354,
      0.371483454930986,
      0.43894897614149,
      0.368476310139867,
      0.370090144476665,
      0.0287502842010752,
      0.262446727765406,
      0.423864759346509,
      0.340363496990119,
      0.162388276583023,
      0.195773293067225,
      0.156710285380997,
      0.500692392970518,
      0.262510678693773,
      0.267929268955113,
      0.201067719193819,
      0.150305906118833,
      0.246963978644023,
      0.486427035632249,
      0.311220328461672,
      0.163332874190582,
      0.0413276080688297,
      0,
      0.400832432683979,
      0.082098629685547,
      0.240171431168802,
      0.264871282234852,
      0.188576820924932,
      0.371939717423658,
      0.275730810342752,
      0.443274150721505,
      0.586856602932495,
      0.376870003865642,
      0.286706558253434,
      0.46823212955399,
      0.167316684891106,
      0.436472710944962,
      0.306703824667173,
      0.236297210424818,
      0.177340281108561,
      0.386536141538608,
      0.298763788787363,
      0.457326096722476,
      0.223224777435171,
      0.533030546179725,
      0.42711842892546,
      0.312003738571847,
      0.340187442399053,
      0.227269732435399,
      0.230379073021803,
      0.285797326877613,
      0.378780522706971,
      0.537870774256057,
      0.47723392014385,
      0.508789146416467,
      0.507666213422384,
      0.239895148149716,
      0.28079417482327,
      0.297920756868954,
      0.469539958619764,
      0.112306696587012,
      0.519486372334528,
      0.30304332188534,
      0.478188932559472,
      0.260306466353439,
      0.303543299741587,
      0.472330134283058,
      0.280625232974876,
      0.244207144432588,
      0.123803223514615,
      0.22415450849198,
      0.250107701772096,
      0.127382161045399,
      0.248729358935421,
      0.488752305375223,
      0.189796828976683,
      0.18099741970577,
      0.37293372077866,
      0.268790854318737,
      0.248866428460924,
      0.183490253092835,
      0.181049694007446,
      0.177797226518098,
      0.250608885862585,
      0.138703356812585,
      0.514506818107129,
      0.181964408332853,
      0.31235943328624,
      0.356108156939159,
      0.11164896890364,
      0.215444495844649,
      0.257118226218003,
      0.248114587970448,
      0.401562377154743,
      0.451925806593676,
      0.26175194578851,
      0.461552509633077,
      0.240302041372196,
      0.25082788060145,
      0.30586517781386,
      0.24267744252975,
      0.274188655820496,
      0.243366184997615,
      0.0837606583272037,
      0.590348172291381,
      0.349372315816007,
      0.266943997387714,
      0.24399059368031,
      0,
      0,
      0.410207906005565,
      0.234085231208531,
      0.367871491008747,
      0.407574179213105,
      0.540034965944151,
      0.471679840193261,
      0.200446555629743,
      0.472292601323506,
      0.401383723304229,
      0.363368803869394,
      0.212163206060819,
      0.280571668184984,
      0.431250333608646,
      0.536047428012718,
      0.554168598984307,
      0.53836273525689,
      0.349235832979795,
      0.263937024404221,
      0.415137047133765,
      0.452710858489313,
      0.30814265760404,
      0.527835067011711,
      0.157848545898037,
      0,
      0.57928263720319,
      0.314854069874762,
      0.379201198664325,
      0.101086939663129,
      0.159318164311418,
      0.563733718477819,
      0.228101702463965,
      0.355338929820096,
      0.495968816590437,
      0.0408296378771538,
      0.416861982348379,
      0.420779349964286,
      0.525589871041024,
      0.493420553438739,
      0.305391188194597,
      0.347272481310062,
      0.507811092286246,
      0.538324951413586,
      0.595431478382574,
      0.682089970024517,
      0.32207898120653,
      0.452681381780993,
      0.419536031295335,
      0.305977665073019,
      0.120848532476584,
      0.0583532021879633,
      0.405833549766711,
      0.422392994445168,
      0.220609684115624,
      0.38611487353963,
      0.453503474759122,
      0.43064917561865,
      0.384720434352909,
      0.52470156330565,
      0.290434397302886,
      0.540339617095965,
      0.298673316605364,
      0.505393177836609,
      0.543064271730004,
      0.217016778950733,
      0.329393618579001,
      0.229289624246071,
      0.40884087004513,
      0.364592999307935,
      0.579651545020455,
      0.474556822466763,
      0.285804639158093,
      0.309657939340435,
      0.37720426240381,
      0.555537753256034,
      0.521575371154159,
      0.441646660085456,
      0.383375280263194,
      0.308085026798927,
      0.521052952306533,
      0.585388956777233,
      0.367462659441317,
      0.546446553247605,
      0.365126238397387,
      0.443001726397958,
      0.371887762714879,
      0.37413059478871,
      0.347395357003914,
      0.472748132872273,
      0.329012279664749,
      0.235209297138548,
      0.215560622407185,
      0.149648033273474,
      0.484750936572407,
      0.250655312235545,
      0.362034928126631,
      0.520493227745335,
      0.406918820808095,
      0.0939075656334749,
      0.482228132256964,
      0.207405735487008,
      0.498054108452396,
      0.29577212439178,
      0.314675195184917,
      0.300493276339244,
      0.434038897487912,
      0.40276656235004,
      0.561600385882741,
      0.330344177792013,
      0.531028724546931,
      0.435424227076251,
      0.3468871521361,
      0.548294920845238,
      0.238474565173626,
      0.362183653260756,
      0.331923047946606,
      0.293383670330281,
      0.48114840458779,
      0.482506418360232,
      0.438511013937246,
      0.498675063028028,
      0.297135739548798,
      0.264132722908184,
      0.473782471025672,
      0.409228879064857,
      0.188802298516918,
      0.4630418360829,
      0.292975099387434,
      0.305840561644892,
      0.351802950625152,
      0.224660861699699,
      0.620719140673019,
      0.354505438828057,
      0.319271660157679,
      0.284508682388697,
      0.251394964234623,
      0.255633519180151,
      0.168993306443938,
      0.210002565859163,
      0.190352118113991,
      0.155121078769643,
      0.172709402765583,
      0.45606052276733,
      0.309389947884742,
      0.284231597100797,
      0.343301720487103,
      0.365002949094201,
      0.241643944417877,
      0.287211631681951,
      0.200116766336219,
      0.519833561546612,
      0.17770233686229,
      0.261030910560439,
      0.370229642571351,
      0.21345951966358,
      0.201385610988959,
      0.279877801148838,
      0.33182925170022,
      0.246893097774428,
      0.244169110315125,
      0.288132278315443,
      0.560279156990411,
      0.271219017041358,
      0.369693467478187,
      0.380764920221721,
      0.304129397236686,
      0.291479969717839,
      0.315739085593795,
      0.0676051633182123,
      0.499245049127637,
      0.384183991819426,
      0.250027771030406,
      0.341163983258817,
      0.00617349093433549,
      0.0337125371128221,
      0.340969023049106,
      0.22960561949731,
      0.468859241735622,
      0.325518710043443,
      0.522408936891312,
      0.501721692925391,
      0.0847157543788121,
      0.370667951776027,
      0.344618223504097,
      0.328613625402736,
      0.203903382458975,
      0.224984910524721,
      0.152746735560004,
      0.402499146312384,
      0.412267321934457,
      0.231783712123019,
      0.418391995968229,
      0.509438645631906,
      0.367501973490192,
      0.52788736924385,
      0.408734982789444,
      0.566209562294758,
      0.0435799168922748,
      0,
      0.533311254314863,
      0.308539483856631,
      0.605646589481186,
      0.237332535489006,
      0.137449327468711,
      0.163185765072123,
      0.549563806779193,
      0.559450403800906,
      0.270001938042201,
      0.321000796399749,
      0.408101308347119,
      0.550253270015737,
      0.391032326766327,
      0.360409124601926,
      0.301642667646711,
      0.296395424090765,
      0.428077085304392,
      0.396408909121933,
      0.585386731726203,
      0.618986907190767,
      0.360208775512083,
      0.19928282878083,
      0.445717808983437,
      0.271802603322427,
      0.405316611315435,
      0,
      0.0602840345039485,
      0.502779157074014,
      0.461524235146363,
      0.318396512269353,
      0.473625691228646,
      0.475551583484937,
      0.439185116369987,
      0.549180657355386,
      0.380647826597356,
      0.52765144600626,
      0.216803979446216,
      0.508777266747807,
      0.543569620772949,
      0.340186901471324,
      0.432682625474713,
      0.368264202964681,
      0.421404966619701,
      0.237729749605199,
      0.585879231330427,
      0.47440622666237,
      0.281953381489883,
      0.160368595735106,
      0.534287210657053,
      0.601373699311143,
      0.504335774921941,
      0.487445127750103,
      0.319337830601094,
      0.367128158112966,
      0.522892807652655,
      0.589060357132737,
      0.39916511199902,
      0.424533812695872,
      0.297414137079118,
      0.319345958839691,
      0.464489789804243,
      0.298064211506693,
      0.369248243846086,
      0.411837186116201,
      0.36831347154821,
      0.242775872189742,
      0.24879143277648,
      0.0496489282260588,
      0.523099770325051,
      0.197109917687433,
      0.286705278953353,
      0.541536950960937,
      0.364348380672365,
      0.247776221190652,
      0.475731393326796,
      0.220680346780291,
      0.37916637455931,
      0.256756436013757,
      0.285352239005669,
      0.397577646334072,
      0.4787029603224,
      0.437689784463736,
      0.53543217278492,
      0.359798679222003,
      0.422914042672288,
      0.329188287238804,
      0.238830600572402,
      0.527325800064891,
      0.271800744800585,
      0.253042335449982,
      0.331577281954704,
      0.205738909203286,
      0.451843304077504,
      0.525920614821198,
      0.360017910041922,
      0.488467888178761,
      0.44351590247619,
      0.235227552568208,
      0.596524035653373,
      0.410070681410212,
      0.356567366740084,
      0.337060206315008,
      0.413295948715532,
      0.26593971165718,
      0.464724401937187,
      0.254527881980947,
      0.580127694651479,
      0.370562813075364,
      0.249758028199722,
      0.315725416805114,
      0.289236591397524,
      0.318094308526419,
      0.225910773460173,
      0.379298445513271,
      0.183550931778965,
      0.244508299141936,
      0.178460329576804,
      0.49649860720339,
      0.284003305485185,
      0.24485767853059,
      0.313255104504613,
      0.256300344345566,
      0.289764063208679,
      0.394312309877213,
      0.233399806482598,
      0.402791125767041,
      0.16941397643141,
      0.133475947239556,
      0.499022921472638,
      0.324794076861253,
      0.217470293072503,
      0.302519114628833,
      0.328392938601592,
      0.236016858923967,
      0.210206975569866,
      0.345003407362206,
      0.556858761454374,
      0.237617597237653,
      0.286067875604706,
      0.371586591225797,
      0.268102655139957,
      0.276190948332264,
      0.258445636103544,
      0.151255835099651,
      0.198364123179145,
      0.359980122190093,
      0.23086507337641,
      0.524651120733495,
      0.00291992557235678,
      0.160972944731958,
      0.377206548049465,
      0.234092152665211,
      0.423232847928022,
      0.355848295841492,
      0.197562430492311,
      0.541008701062437,
      0.398175711432846,
      0.222040924885567,
      0.419426821145892,
      0.0937121227604394,
      0.355422668781313,
      0.189181082579899,
      0.370360672895439,
      0.21504576626669,
      0.166021948466233,
      0.474872250410308,
      0.446082800670454,
      0.296834090859032,
      0.370473802021752,
      0.374581303784199,
      0.366542283755452,
      0.383255933713438,
      0.245569689429387,
      0.314024977517264,
      0.483952770298658,
      0.314860030009121,
      0.329879646905875,
      0.393756905892662,
      0.43347368554539,
      0.236222718502371,
      0.189106492151913,
      0.344396658946849,
      0.337164043437981,
      0.186485447833059,
      0.223433542131025,
      0.581380325224836,
      0.133518914457119,
      0.444615155234871,
      0.197452734759838,
      0.306719953846601,
      0.4161596689481,
      0.0815730391300676,
      0.347741527300614,
      0.420615817543079,
      0.507008444071576,
      0.447662113833632,
      0.402443019928365,
      0.0802557805016074,
      0.234929454525379,
      0.431509564063107,
      0.300562891639772,
      0.123252434887103,
      0.195702369238702,
      0.0707528669272787,
      0.513635884124949,
      0.295093756523581,
      0.295701978644561,
      0.201600002341195,
      0.0948214370773691,
      0.308516832989371,
      0.487459907826406,
      0.442897574209858,
      0.286708428232657,
      0.136039703146868,
      0,
      0.314361908564772,
      0.108270814848593,
      0.250870388629448,
      0.158213350756275,
      0.0869920667967401,
      0.386346505600057,
      0.268487802257609,
      0.332704834380152,
      0.423600547830624,
      0.38493863342589,
      0.229942817074775,
      0.349429907966463,
      0.155017488537269,
      0.566200459659309,
      0.242020556050406,
      0.335420384017894,
      0.202737183308339,
      0.402779266929484,
      0.212120519669148,
      0.323345307393187,
      0.311115102074405,
      0.615378126108198,
      0.391619166169272,
      0.221677252127986,
      0.285036133375696,
      0.250170149780986,
      0.313813049311242,
      0.308561863467772,
      0.363660764240153,
      0.41752157906456,
      0.296760187351278,
      0.390750138943335,
      0.455074598957264,
      0.194745965402871,
      0.208802028273286,
      0.33922500258243,
      0.377727161009716,
      0.0863321283873778,
      0.455353763043812,
      0.264455817927771,
      0.490072723825163,
      0.189645705014608,
      0.333790574815616,
      0.397888364236445,
      0.187930621511825,
      0.0370179548987781,
      0.067735946782169,
      0.162582012133482,
      0.277418677440435,
      0.0855718031441135,
      0.143530535988453,
      0.469246716838783,
      0.111240482295303,
      0.236631249726013,
      0.495210772865823,
      0.0938651377780899,
      0.147091255250108,
      0.13005671228578,
      0.157041585932198,
      0.169562347057267,
      0.136014444188349,
      0.121584007593201,
      0.527777830831097,
      0.206003618337769,
      0.290843836227123,
      0.373043104711393,
      0.0727135579735454,
      0.196287251792738,
      0.176935920030024,
      0.383662058588777,
      0.394952276178465,
      0.403846728191255,
      0.296785487426726,
      0.465046073696728,
      0.276607005617812,
      0.26431289241067,
      0.274113527733521,
      0.256415647484217,
      0.195662375033492,
      0.242770399687802,
      0.270436246539077,
      0.567698227510008,
      0.23781792616361,
      0.174177741072897,
      0.144297638147451,
      0,
      0,
      0.412533817197664,
      0.132358101349349,
      0.526760032426258,
      0.456297194988602,
      0.198654100691057,
      0.497269417243949,
      0.119411140696652,
      0.486143834116157,
      0.394474009675429,
      0.424420125515731,
      0.0835555422281338,
      0,
      0.421232846043314,
      0.534137327173813,
      0.292592443839737,
      0.291657157832136,
      0.347695142524665,
      0.295275581993358,
      0.285712271074955,
      0.390711804299611,
      0.278435640716395,
      0.431671276371005,
      0,
      0,
      0.529110640774019,
      0.227906445046692,
      0.419438626484872,
      0.0686062570964813,
      0.163716983763796,
      0.41517453797256,
      0.195289168316796,
      0.222996684833517,
      0.469111505637435,
      0,
      0.38631221819684,
      0.390141884538792,
      0.315301518451927,
      0.458211371700669,
      0.0801611829114584,
      0.332956302301526,
      0.418771429364776,
      0.493881584362572,
      0.481372360573676,
      0.624327476283181,
      0.37961154000212,
      0.423437593881473,
      0.411184046474854,
      0.354134733487744,
      0.121976552374888,
      0.0504590561230378,
      0.348471997088386,
      0.383713604326924,
      0.157136023882532,
      0.260424437894304,
      0.373048248399829,
      0.165185643748769,
      0.421740596012193,
      0.441153296299106,
      0.340874300768434,
      0.461189148673913,
      0.266203712391459,
      0.335210239330121,
      0.549918297789649,
      0.145250106553603,
      0.374904489047194,
      0.203915155290191,
      0.274931505535574,
      0.409959308281386,
      0.436461372072328,
      0.417386088675295,
      0.205555848515699,
      0.269831387323972,
      0.371147270579638,
      0.530877278232191,
      0.37744285161966,
      0.335505088426006,
      0.190515479805651,
      0.0672864431784295,
      0.385574306379668,
      0.471882034668398,
      0.42374403851989,
      0.517332558626682,
      0.501751746719122,
      0.460291312434256,
      0.476262089187295,
      0.432314140454271,
      0.41744015991067,
      0.463449244118911,
      0.45038983687629,
      0.258398328099952,
      0.232211833857664,
      0.102642760985218,
      0.53559490540825,
      0.224121796221098,
      0.407776166351331,
      0.466630798251908,
      0.4171831222273,
      0.139899820675536,
      0.406006454406682,
      0.176212447074961,
      0.532034659037075,
      0.265285130761319,
      0.272096346862023,
      0.302149631661853,
      0.372317695975704,
      0.336121758704606,
      0.438780763180116,
      0.296380216612144,
      0.579499696606476,
      0.349121717651353,
      0.259593988512379,
      0.543216644962529,
      0.29827483180215,
      0.427209773427646,
      0.296949368406337,
      0.346268419338849,
      0.385631370973924,
      0.386172237022685,
      0.379142562446292,
      0.48686759231325,
      0.187806750824446,
      0.172145862124822,
      0.483884032660151,
      0.408954627015849,
      0.192507920003694,
      0.408716271173542,
      0.315916765089928,
      0.268688728138362,
      0.291390472650251,
      0.253801227850564,
      0.592091624382269,
      0.364952983378422,
      0.356835246801484,
      0.332391849590536,
      0.247693487767205,
      0.258912922670916,
      0.159952005618598,
      0.187064561359107,
      0.161430316353617,
      0.0813145587192639,
      0.1496941550595,
      0.474978824799506,
      0.115422235252839,
      0.346594687162202,
      0.397147431558817,
      0.417832993775401,
      0.229241030915467,
      0.155939436260925,
      0.179980669920811,
      0.519726188956444,
      0.15038331185202,
      0.28130715050229,
      0.446393628566271,
      0.123226161034231,
      0.205387248236409,
      0.198242360637372,
      0.394025237455528,
      0.18019509772985,
      0.412305057171012,
      0.240895233252685,
      0.573255277670358,
      0.307943025530814,
      0.427528798098646,
      0.362067073139741,
      0.380966780143202,
      0.203240791803203,
      0.247444349770966,
      0.316966262769766,
      0.454393999400326,
      0.305688620390653,
      0.15429574296811,
      0.338061148480582,
      0,
      0.202800565317724,
      0.382054623020656,
      0.227287238980403,
      0.286078191347721,
      0.299272451281852,
      0.43528345868249,
      0.538393820703324,
      0,
      0.412099035756982,
      0.409153678527291,
      0.370812451375328,
      0.279404104133447,
      0.0291932514497739,
      0.1648860335335,
      0.385622287227044,
      0.26421926491174,
      0.0830505745179816,
      0.381794795430271,
      0.570926450816152,
      0.322740266876555,
      0.505084274562264,
      0.402762062214567,
      0.483267200640179,
      0,
      0,
      0.530627195976328,
      0.245763947887966,
      0.381044773915142,
      0.281158700459757,
      0.137887333038638,
      0.148698384223789,
      0.404014609025,
      0.552229310160777,
      0.23799326232397,
      0.184988805892367,
      0.536839228174609,
      0.556056958276781,
      0.300128000821878,
      0.363355621160971,
      0.212185173587574,
      0.225242390435824,
      0.40270448980921,
      0.326775894903789,
      0.50282030439689,
      0.524601458104372,
      0.364528975800225,
      0.255671725369114,
      0.361357065323515,
      0.160298107028952,
      0.136002690809034,
      0.0756441374952428,
      0.155852848722623,
      0.368725199536263,
      0.390144562864015,
      0.234501688704687,
      0.514051947446671,
      0.220815947312809,
      0.475240214228891,
      0.457583615581165,
      0.415888024087902,
      0.394565135782951,
      0.185546163486919,
      0.402699135702242,
      0.48871217092615,
      0.317482639460236,
      0.27795396672976,
      0.382346832241663,
      0.324259959248932,
      0.313594683042154,
      0.441287940187428,
      0.409631389042531,
      0.188943449799404,
      0.123715305670706,
      0.471181230623881,
      0.575684789134115,
      0.331787169387586,
      0.421958352428409,
      0.183562098867476,
      0.139595529253773,
      0.406222292304172,
      0.462810909704942,
      0.411432111749463,
      0.521427080501141,
      0.475886098622126,
      0.500884647019832,
      0.455446190693143,
      0.369358601192433,
      0.401135527530064,
      0.405513207545022,
      0.414737924513595,
      0.328116238399748,
      0.249944116800205,
      0.154995504799917,
      0.541825287681297,
      0.202300848302496,
      0.353550907787612,
      0.4675246666348,
      0.409989211943664,
      0.216413021632105,
      0.434739882854719,
      0.208547780605021,
      0.452274063457203,
      0.206212521091695,
      0.223022354074254,
      0.380972177819807,
      0.518583673036382,
      0.426122007640353,
      0.476372734783812,
      0.413936710922215,
      0.443813825194601,
      0.380048917946288,
      0.221247802023627,
      0.511197811590578,
      0.270889457917219,
      0.386279554573029,
      0.349067191958927,
      0.230132700932487,
      0.37941477442658,
      0.390458076299574,
      0.379643912686238,
      0.438170625621192,
      0.289358981132257,
      0.184683435481368,
      0.615367568369227,
      0.401181520853356,
      0.413926145460254,
      0.301362232027431,
      0.440648479280835,
      0.180038160129055,
      0.323548807231504,
      0.287487944685124,
      0.564043621782724,
      0.397072769298477,
      0.167866943933851,
      0.317592421426385,
      0.335017372204819,
      0.241829978412643,
      0.173055182411742,
      0.322514115813067,
      0.226626352738217,
      0.2988967151417,
      0.274477888918967,
      0.524169331536332,
      0.353668886401035,
      0.200827099814559,
      0.369669503014721,
      0.352404840612095,
      0.277417605552127,
      0.270543105177225,
      0.153078423737762,
      0.380922885773974,
      0.18745258309874,
      0.121731751214148,
      0.475961926737991,
      0.101673764915662,
      0.184787562938048,
      0.253665888510779,
      0.347937987569777,
      0.158789197138755,
      0.307479414774391,
      0.238999187017317,
      0.554527808962938,
      0.288908961354918,
      0.277634481110945,
      0.389062685748747,
      0.337514393713111,
      0.201300506958801,
      0.20567991623316,
      0.319970985165006,
      0.256820882074081,
      0.221130661184285,
      0.112076177974314,
      0.545860470514967,
      0,
      0.233620428033839,
      0.425587554988616,
      0.145493943882944,
      0.335484679754078,
      0.274548949396062,
      0.217510193246214,
      0.535444204697207,
      0.345699997132849,
      0.266886127156959,
      0.365614764045607,
      0.112595263096958,
      0.313122316209989,
      0.301696659451335,
      0.471216373854782,
      0.143044240855405,
      0.228743505961411,
      0.412504842272246,
      0.472933295710351,
      0.361669718177418,
      0.410308094799466,
      0.420721312958931,
      0.420814094218127,
      0.363488429623586,
      0.315447340723698,
      0.320887961360009,
      0.464655387427792,
      0.295386951237695,
      0.145189538337298,
      0.347832974008262,
      0.406939004791681,
      0.17934093182532,
      0.21573347566046,
      0.301915067136389,
      0.241681195130272,
      0.149707977786348,
      0.241502049339174,
      0.593009951002455,
      0.133959751549845,
      0.444359245256992,
      0.21757127362525,
      0.233256477830957,
      0.266279343025749,
      0.0608315146200734,
      0.315411249623698,
      0.389263800775179,
      0.405720038211861,
      0.33848388598996,
      0.406073097632596,
      0.188600740424628,
      0.222045775370942,
      0.422595491448534,
      0.307137330786629,
      0.246442406329805,
      0.212717593005892,
      0.111837825343937,
      0.538459852060352,
      0.300948856702803,
      0.207127424819561,
      0.194061326223439,
      0.197394481667202,
      0.273318703172657,
      0.299748707281876,
      0.347040407168575,
      0.225610474290105,
      0.160173474700079,
      0,
      0.245528031758362,
      0.0924287897388825,
      0.250819474604212,
      0.201836881787238,
      0.10322582152025,
      0.326423624629538,
      0.301198315404437,
      0.373447951216296,
      0.363128875771679,
      0.369567827460264,
      0.225277141678739,
      0.257272099502003,
      0.109766467618635,
      0.393658352617614,
      0.185546179364257,
      0.293683480302537,
      0.174037388527801,
      0.345778605809031,
      0.113196926456456,
      0.267220479391011,
      0.320207540369963,
      0.471936463593966,
      0.2625296907147,
      0.154756593206225,
      0.186066441473329,
      0.226163452387659,
      0.332054837538653,
      0.291751066373569,
      0.382759325914961,
      0.382476682618397,
      0.474195966251112,
      0.400709822254988,
      0.458414553743445,
      0.120439147258894,
      0.395814949342791,
      0.207291406460399,
      0.225317499557567,
      0.108476277565078,
      0.393924191630361,
      0.274716737859194,
      0.39730299878261,
      0.192087113561673,
      0.308912748453937,
      0.281349337379925,
      0.149238698713878,
      0.0105266022360396,
      0.116708267338059,
      0.136007427024362,
      0.27265194337496,
      0.136747682841598,
      0.211305666594623,
      0.477833461864259,
      0.0809927296027391,
      0.220628331642626,
      0.415746277173916,
      0.144258425293811,
      0.168024829551675,
      0.159738001916102,
      0.0995452589395,
      0.156012734632991,
      0.146801170170861,
      0.0954625251945043,
      0.524302759704765,
      0.11618465639858,
      0.2556277646566,
      0.273112279732807,
      0.174305004801219,
      0.262204076100423,
      0.250996906765456,
      0.326025790430338,
      0.413706696329193,
      0.458423243250936,
      0.244834718191603,
      0.477679934889883,
      0.305733723871947,
      0.316791132220064,
      0.349882805243678,
      0.309901109633417,
      0.221106815849264,
      0.231628839968097,
      0.314535177886755,
      0.543873553933588,
      0.250567512059051,
      0.162237756112263,
      0.158658326304273,
      0,
      0.118429985051738,
      0.407174806638467,
      0.0662852486359023,
      0.449280834072057,
      0.422255629980308,
      0.261218978449069,
      0.476659162114668,
      0.100138938678653,
      0.422501928751445,
      0.395894771748272,
      0.445540744835876,
      0.0475100922896983,
      0.0264298265980973,
      0.404705596190452,
      0.520313337412438,
      0.516107812150772,
      0.430036358360402,
      0.356157158248972,
      0.37015789222947,
      0.239873112895897,
      0.393200352547969,
      0.206843964718129,
      0.390984023106763,
      0,
      0,
      0.49131351796098,
      0.40598492141955,
      0.437902746772066,
      0.083858695739838,
      0.161288604419982,
      0.210110318204573,
      0.245296704408219,
      0.043205949054628,
      0.478878568583252,
      0,
      0.296021082201861,
      0.422829388252555,
      0.386026466056694,
      0.454351939870671,
      0.066016465786442,
      0.301283566282108,
      0.365625156080722,
      0.364901338002465,
      0.48005960145636,
      0.590841315551036,
      0.51779595969431,
      0.480982094041683,
      0.481624035949133,
      0.448845951104411,
      0.111440646474153,
      0.0784433421078898,
      0.306585048506381,
      0.383726752908189,
      0.242086627492139,
      0.200964513536052,
      0.382986235608087,
      0.256074829337311,
      0.34056583415707,
      0.421017777676842,
      0.353413638713757,
      0.421159359501641,
      0.357621332450199,
      0.33740490336058,
      0.553924393988758,
      0.247871082494897,
      0.469673136325119,
      0.288448547885044,
      0.29153289850614,
      0.353822309696649,
      0.252801694488853,
      0.373734414549931,
      0.223246556173218,
      0.240287081056192,
      0.283035176787975,
      0.528311160085353,
      0.430432406245263,
      0.309001647690925,
      0.122322140972009,
      0.0859255888695188,
      0.241843529261426,
      0.411717996867423,
      0.512407905538059,
      0.499728634409413,
      0.377337577484887,
      0.374495409647331,
      0.32519810782359,
      0.349137204620724,
      0.431638773105323,
      0.472617721843032,
      0.394181935409806,
      0.305472967411578,
      0.296625656678873,
      0.122864723456699,
      0.499660055244893,
      0.258347465304535,
      0.428438943723387,
      0.491501756983619,
      0.488141346584283,
      0.120364623943253,
      0.237754795369979,
      0.186863959502686,
      0.490426405106492,
      0.111855622280125,
      0.242120032143713,
      0.317165900482579,
      0.260380478645228,
      0.167072396926499,
      0.274030722298884,
      0.34119374733679,
      0.445687747089791,
      0.362706826364988,
      0.17678486089471,
      0.521874177093959,
      0.274632112228984,
      0.486856121671255,
      0.315161767350636,
      0.32412917158176,
      0.348066079781456,
      0.471973241580659,
      0.407950402561903,
      0.494045986308802,
      0.175940366050264,
      0.232357663066961,
      0.486257255853609,
      0.250803361109664,
      0.233117849855786,
      0.375619967612408,
      0.410900332929143,
      0.212757770764886,
      0.306095781838151,
      0.343892381499622,
      0.547408509380758,
      0.32957417640143,
      0.454711462529805,
      0.433750789311217,
      0.333395153531097,
      0.276177617514525,
      0.114345766344443,
      0.187325474450904,
      0.196407256324893,
      0.067235204420953,
      0.192717835811966,
      0.48143617110267,
      0.169858851092849,
      0.341459326918666,
      0.399064378272579,
      0.438003131809768,
      0.238547156973222,
      0.134882342612386,
      0.133192888160313,
      0.525615110063085,
      0.0433460676974336,
      0.363684681618838,
      0.420113569198569,
      0.0799718797015976,
      0.175723335962036,
      0.241585101394367,
      0.384045078511435,
      0.124878490691665,
      0.516050805153431,
      0.204022072938799,
      0.562272874624595,
      0.280495934549239,
      0.426989113689858,
      0.334935246957829,
      0.27881297737663,
      0.211137631459475,
      0.19850668617346,
      0.278340182055562,
      0.465415678413981,
      0.287072224328434,
      0.184029022184693,
      0.360797906460765,
      0,
      0.179153668081576,
      0.398815768546551,
      0.223156110648077,
      0.398646034008115,
      0.20547527353435,
      0.313936409650485,
      0.529645105983513,
      0.0133113003409144,
      0.47191843873907,
      0.486801554954455,
      0.465033058802034,
      0.294676108315387,
      0.0714755453112323,
      0.121862239105559,
      0.416164466120559,
      0.287549613077711,
      0.203619517177468,
      0.397885996651387,
      0.528976150084375,
      0.334731606354405,
      0.396434771166862,
      0.359422121031788,
      0.220768579975245,
      0,
      0,
      0.548554323160881,
      0.284133637501154,
      0.467210560766351,
      0.249390161800507,
      0.146002562888145,
      0.156600881720801,
      0.279531875378132,
      0.456813230742239,
      0.223353704701921,
      0.212618209375215,
      0.55429098547695,
      0.543019559165307,
      0.261106748198764,
      0.360811885679028,
      0.171938195037522,
      0.234424967835101,
      0.377254289475152,
      0.306857326425574,
      0.511114052694491,
      0.533956461772916,
      0.35939518575507,
      0.351482227745754,
      0.296598657649181,
      0.0955719795426044,
      0.09451158089096,
      0.0808273840077599,
      0.20320662423201,
      0.376204529445007,
      0.353973714870348,
      0.131184281479084,
      0.493994453988722,
      0.331618104201091,
      0.496657772091414,
      0.474189894925262,
      0.482224739581293,
      0.417995890073726,
      0.271140926515112,
      0.313400738702882,
      0.487459570868206,
      0.2716235132861,
      0.275052913155669,
      0.438316376411948,
      0.288706077076483,
      0.251951105658908,
      0.217274950542982,
      0.361186483956492,
      0.130888737874984,
      0.169856818529092,
      0.304032642194338,
      0.564135729399649,
      0.415903267631015,
      0.483033088848781,
      0.197579532090638,
      0.134763576385374,
      0.274335593154106,
      0.416041743008349,
      0.489803632848693,
      0.454441165568854,
      0.402581141117529,
      0.363328640073055,
      0.427161647266004,
      0.318604293023552,
      0.373095015599458,
      0.439225632456812,
      0.341286565440904,
      0.291414875081508,
      0.291162686479565,
      0.217816457430209,
      0.539346873515046,
      0.169130020120568,
      0.454756024962909,
      0.453683440718491,
      0.462831069725826,
      0.203883537908738,
      0.267188378186815,
      0.207502964372714,
      0.362188995744132,
      0.0908191448226281,
      0.18665627384712,
      0.427776445453856,
      0.357477344889372,
      0.391730267608123,
      0.467786237308697,
      0.483481962106922,
      0.290946565830527,
      0.411287279619035,
      0.170131665768883,
      0.516152711885587,
      0.253114957530052,
      0.399816101955911,
      0.353239462692093,
      0.344344948394578,
      0.317509601089376,
      0.437562974678338,
      0.457828303321303,
      0.497435090776526,
      0.214030616695222,
      0.132555870509995,
      0.579027288003077,
      0.266871063423595,
      0.431689594965212,
      0.32175674244981,
      0.467407303956836,
      0.175380568958178,
      0.273322336341921,
      0.333706211462268,
      0.472050296822042,
      0.383319049771241,
      0.144887405504453,
      0.43368508216969,
      0.406007061967915,
      0.248097476148206,
      0.360157145225651,
      0.255968060033811,
      0.283868070975928,
      0.30214059576919,
      0.401607956941214,
      0.533744616334317,
      0.295638049689089,
      0.256204740314867,
      0.330950161461646,
      0.275143665081669,
      0.321373534310383,
      0.282029715365292,
      0.231300900079926,
      0.389448976618273,
      0.277801353330035,
      0.130076815907856,
      0.476853868565713,
      0.0710726146147859,
      0.167075806555552,
      0.201019797113224,
      0.457670607546963,
      0.0977440333187764,
      0.48632473445423,
      0.231712573699706,
      0.531695725419296,
      0.278659453330987,
      0.311175009264048,
      0.438534028937217,
      0.251838154339485,
      0.21078385929669,
      0.239760267966411,
      0.264798859133857,
      0.343066765797398,
      0.244381268812698,
      0.191043516689402,
      0.529866192152616,
      0,
      0.175087871580075,
      0.400551068589391,
      0.195636710181232,
      0.263141980146069,
      0.301382268992793,
      0.230139537820365,
      0.518472795567965,
      0.289915184712036,
      0.362991972960372,
      0.29699371880227,
      0.140383850108003,
      0.398565618571637,
      0.381520730015926,
      0.441328127442049,
      0.123722626541284,
      0.220137287562984,
      0.251758273460361,
      0.471732289409784,
      0.1870724988477,
      0.438789580633979,
      0.472031291114216,
      0.473267638175964,
      0.375598958731442,
      0.299134291421977,
      0.250855321031294,
      0.486109507346882,
      0.32542172366531,
      0.128013766483115,
      0.394531654159597,
      0.334648661812201,
      0.203331169368405,
      0.224100551652355,
      0.242093613048762,
      0.209047139678522,
      0.213873620807739,
      0.183752502161254,
      0.574020712104128,
      0.0266116687713497,
      0.482330700678307,
      0.203901814387458,
      0.207319696875262,
      0.23152159057653,
      0.0948302058921734,
      0.34092802476383,
      0.406872068365015,
      0.400586848512992,
      0.356871303299537,
      0.397457996684003,
      0.162660328839916,
      0.220408547331104,
      0.332138133127494,
      0.431059591085963,
      0.205828501455001,
      0.186606343981726,
      0.128360347287322,
      0.543753529563139,
      0.381966342252978,
      0.235983526825745,
      0.226743930499285,
      0.149356320330031,
      0.252150027028677,
      0.255565547061004,
      0.205856777693466,
      0.164495760538506,
      0.10406852209286,
      0,
      0.302469254570363,
      0.133504470358133,
      0.278871971261013,
      0.173011332538992,
      0.0685360800326559,
      0.23824784419167,
      0.354160608294953,
      0.360714750662194,
      0.363555773422708,
      0.310080560314969,
      0.280918856186586,
      0.366926722464057,
      0.224130213472966,
      0.239454190260468,
      0.22181675707841,
      0.211642567702913,
      0.170243659167662,
      0.310292264052103,
      0.202392197251003,
      0.327179472692231,
      0.45857663084614,
      0.275472355473067,
      0.285248679039879,
      0.233443134616732,
      0.170782628601285,
      0.227901025355398,
      0.250886662534137,
      0.312793155390742,
      0.307587638603624,
      0.360776945793139,
      0.449025486399166,
      0.438408110405804,
      0.37783856782237,
      0.150256604476366,
      0.411106697346353,
      0.160900466313342,
      0.202519836121739,
      0.14020055627674,
      0.441071477649782,
      0.352672749731276,
      0.309287185122232,
      0.318500465731519,
      0.322586345195524,
      0.270959357814758,
      0.154103443237138,
      0.0715003404774487,
      0.0684194217027547,
      0.0197139498321735,
      0.205225801803521,
      0.178745972501099,
      0.251166509199352,
      0.472206248874816,
      0.163082215727166,
      0.242569895927347,
      0.358970600484807,
      0.219912304720809,
      0.194848534128243,
      0.192832446455232,
      0.0991979584193398,
      0.183450439470114,
      0.270828413672952,
      0.100712649377918,
      0.542528914573627,
      0.0913701606289678,
      0.215256018459482,
      0.170010178519587,
      0.125422574086179,
      0.238858317650472,
      0.222049244894206,
      0.260211062297578,
      0.409474989511517,
      0.372466451453445,
      0.246164768662182,
      0.447350733942747,
      0.191001970935533,
      0.28827083693345,
      0.332443630646434,
      0.338079015789629,
      0.257319778423586,
      0.220155268714084,
      0.176187752551589,
      0.492635181901885,
      0.259461164474419,
      0.104063680129573,
      0.166859912070906,
      0.0109895272399791,
      0,
      0.375535589094801,
      0.136648008897243,
      0.16284211855489,
      0.333325493076281,
      0.225825646629321,
      0.502045333803333,
      0.201014306693866,
      0.306761674215327,
      0.32207164456418,
      0.382305681809151,
      0.0202969125586977,
      0.0765481902529045,
      0.372764747640147,
      0.495016782764989,
      0.519808494701795,
      0.361231422121838,
      0.324625023439737,
      0.462677903582941,
      0.382139198101208,
      0.381960686410931,
      0.188075667925397,
      0.368390069860001,
      0,
      0.0298462459525002,
      0.496910376218093,
      0.39614010111959,
      0.37356523062325,
      0.0995945103568376,
      0.241084538748143,
      0.156800486558717,
      0.303501103157027,
      0.0527504059029476,
      0.529911150347789,
      0.0131909357203368,
      0.507297259992125,
      0.371775931342874,
      0.444481867611081,
      0.453176092314103,
      0.0723853934320134,
      0.335801442199413,
      0.535712621308475,
      0.331554225286521,
      0.42892158988461,
      0.53034242177268,
      0.376714515809096,
      0.467641398630937,
      0.421821643251779,
      0.39898098418029,
      0.111091016271462,
      0.172093832432475,
      0.353564271348819,
      0.389484275128273,
      0.288976175516214,
      0.256033449669778,
      0.53410746559434,
      0.322978758133138,
      0.463741748226983,
      0.340785099915074,
      0.280558806108422,
      0.334354343221472,
      0.23948384506761,
      0.380774396624628,
      0.539765637410363,
      0.283451143848753,
      0.414501529274585,
      0.367475621632435,
      0.319196606623386,
      0.279525066324862,
      0.288214713197961,
      0.301946141124292,
      0.229979524928965,
      0.282363733866254,
      0.258915990741845,
      0.534630664981269,
      0.441202455710204,
      0.386471205119534,
      0.111589084115225,
      0.0994519766217888,
      0.40048932798325,
      0.323320155114823,
      0.348792705462188,
      0.486742981701913,
      0.247793108144142,
      0.440033954025019,
      0.372877134003207,
      0.334011773386124,
      0.395379424278132,
      0.516515264317985,
      0.404823615573147,
      0.278378040740819,
      0.229194175103998,
      0.0721803541638668,
      0.50524845213831,
      0.263091129313008,
      0.363035380193087,
      0.440135244117517,
      0.444082372494341,
      0.14219214864253,
      0.336001721297695,
      0.224708161726462,
      0.48199869911923,
      0.123438182782456,
      0.289794372577885,
      0.262671510596212,
      0.330890554494575,
      0.306390069488297,
      0.272596946079465,
      0.521235039640378,
      0.303990027430612,
      0.416381825654271,
      0.199202319635985,
      0.532065816497711,
      0.240090989713676,
      0.424884372615215,
      0.384024157829767,
      0.257365398819532,
      0.404348664149378,
      0.469986450842757,
      0.440506876168209,
      0.48195687729672,
      0.237192488022986,
      0.299824205294067,
      0.460910086654947,
      0.310762908993202,
      0.250139763738927,
      0.431666534729309,
      0.482805414324609,
      0.308426540311048,
      0.299961617688293,
      0.452103429129148,
      0.505328753821053,
      0.284221562539167,
      0.402682452359424,
      0.381253629827963,
      0.301021617597767,
      0.265411950478376,
      0.166866863876451,
      0.251416752157391,
      0.193196262003003,
      0.165173709983721,
      0.210460020695197,
      0.504682796857881,
      0.261981437948028,
      0.279421384575,
      0.320715563927656,
      0.369092237548718,
      0.284973954285189,
      0.255330236094402,
      0.0846203668117775,
      0.503783223024429,
      0.125327736292881,
      0.34392197380545,
      0.289743118867812,
      0.119523950589978,
      0.228124845208497,
      0.197141957793683,
      0.351022790165305,
      0.235989762134195,
      0.426015003122475,
      0.284521434882313,
      0.545171710643282,
      0.175130805896435,
      0.374938745939016,
      0.324558043498889,
      0.364720275777257,
      0.27099739958816,
      0.309721558238231,
      0.156135586703566,
      0.48128920057271,
      0.268366227554422,
      0.111095731876476,
      0.272565741880081,
      0.0969478508472272,
      0.0689504554317748,
      0.378956354881626,
      0.233119142472122,
      0.435303534803141,
      0.367960016686271,
      0.320159054200162,
      0.558933664819204,
      0.212964173647584,
      0.411212728269783,
      0.426097787308195,
      0.410174609809761,
      0.496773656427616,
      0.0955651682926709,
      0.0773266592953863,
      0.441007145350257,
      0.364362336993841,
      0.153404803753374,
      0.422373052309273,
      0.490623914732189,
      0.51969598130668,
      0.325445346069859,
      0.345604917008264,
      0.19206316117201,
      0,
      0.0831361566400661,
      0.532280299574447,
      0.320947201121605,
      0.412957748584878,
      0.30536625129004,
      0.25377399582268,
      0.247334453631596,
      0.285825352974085,
      0.263463464941264,
      0.548197328544837,
      0.250133917610229,
      0.466535880502913,
      0.561132202617187,
      0.220653490655024,
      0.385457355453048,
      0.17530874266991,
      0.44012892451649,
      0.584617558720113,
      0.314844052305519,
      0.4710079237734,
      0.535944478371737,
      0.268572095368742,
      0.315658036877954,
      0.300397699245376,
      0.141680295960156,
      0.20631993772046,
      0.142008430344477,
      0.184016336238542,
      0.322587911380944,
      0.29488375009102,
      0.151905761083014,
      0.594117050124807,
      0.433060383918254,
      0.440414293052602,
      0.495642731961589,
      0.420735278934701,
      0.401869877084663,
      0.228331446486863,
      0.291291223164188,
      0.471729997947063,
      0.355534518867376,
      0.260868864939322,
      0.436137050184903,
      0.380414993260253,
      0.256643538036292,
      0.286479739545471,
      0.315632601319691,
      0.17015117653259,
      0.16681304103094,
      0.330541062421154,
      0.519574290117364,
      0.446271919076445,
      0.445567619780924,
      0.140143694720651,
      0.120553758206287,
      0.373797084267665,
      0.256247318525808,
      0.425932746498918,
      0.431704668984264,
      0.284829025330862,
      0.254092713208263,
      0.445636135630155,
      0.253374190758582,
      0.343426741946169,
      0.45546437885277,
      0.383288989495969,
      0.294937484907337,
      0.253305879567084,
      0.142489055308916,
      0.529223442493099,
      0.192340572018199,
      0.40098766110489,
      0.431354351262379,
      0.389195522460023,
      0.192298395053648,
      0.26174693176848,
      0.281197914027716,
      0.261018536289418,
      0.122433891487399,
      0.209644536280025,
      0.370337859373856,
      0.343159017201061,
      0.375044892193219,
      0.428683787199721,
      0.551313244358844,
      0.236914450725668,
      0.404342278729569,
      0.167896528002773,
      0.497047913008804,
      0.193032743576373,
      0.342587946533967,
      0.44814948866674,
      0.318458454159217,
      0.446194017743309,
      0.441193900187398,
      0.389847808807458,
      0.486582855384113,
      0.265664104523515,
      0.177421453494362,
      0.554952472404648,
      0.360986875232644,
      0.363239733743974,
      0.341358494864238,
      0.411154878216451,
      0.276993649526286,
      0.331029147105024,
      0.509710115423716,
      0.483577420159541,
      0.269062577846912,
      0.341385824393659,
      0.430553141046604,
      0.29262309436219,
      0.261483304888181,
      0.337335039861135,
      0.287978250060629,
      0.314786230362054,
      0.220781399535891,
      0.271092114542192,
      0.555995628473237,
      0.386173946627583,
      0.269847081635673,
      0.33126844496493,
      0.204257312506428,
      0.292326651098454,
      0.220724278559541,
      0.181870231150681,
      0.393400685155221,
      0.145627802354684,
      0.115225237668261,
      0.435940521292569,
      0.137036644111299,
      0.200388110901926,
      0.163690794438573,
      0.406552918518803,
      0.199712378779756,
      0.416537865486601,
      0.269587060646087,
      0.485708742675215,
      0.172159616534452,
      0.288483620718089,
      0.410331650982463,
      0.369144458710236,
      0.285488161891548,
      0.395822250491472,
      0.208079349266955,
      0.235452793949228,
      0.193116894218113,
      0.107139645825766,
      0.496876650199399,
      0,
      0.0559047887398012,
      0.342559558040724,
      0.159002375253323,
      0.277750145035254,
      0.300432644469238,
      0.234799055993767,
      0.490097272775858,
      0.392450597273388,
      0.327544482738163,
      0.317419817606678,
      0.170644561280624,
      0.411699413390796,
      0.43505900668594,
      0.429943190678661,
      0.0886271798946219,
      0.195521496158248,
      0.160119265213661,
      0.481757918966707,
      0.245280371206978,
      0.38285246790721,
      0.400343409115199,
      0.411991865363798,
      0.380926578168047,
      0.234312509905933,
      0.306688616955105,
      0.475007458110328,
      0.31102985236166,
      0.18862237668396,
      0.331720468205728,
      0.178874509298456,
      0.261617039242965,
      0.225865291523573,
      0.214282166901747,
      0.185635758650854,
      0.311654846083331,
      0.433603975116037,
      0.510251844037734,
      0.115692839504188,
      0.425787827573893,
      0.256390309107778,
      0.186637758614322,
      0.372292739560502,
      0.115783469145346,
      0.328189022241838,
      0.418400307648035,
      0.337093973434878,
      0.306556859565186,
      0.434183747998896,
      0.122887209095723,
      0.214160277761833,
      0.340081724509538,
      0.392929621416382,
      0.168110207421959,
      0.222014627061067,
      0.0597819243970822,
      0.546629500351655,
      0.351180709305323,
      0.131557374584437,
      0.227078132030086,
      0.184627993912148,
      0.268059453711706,
      0.33608802714251,
      0.190315900237604,
      0.168936726649485,
      0.100408186306273,
      0,
      0.384173832167461,
      0.150720456536903,
      0.370589030942346,
      0.263360031140741,
      0.195243628180594,
      0.24724981275052,
      0.2979959282171,
      0.398611184789468,
      0.398505490848954,
      0.379108362634878,
      0.249875295405306,
      0.473504099462434,
      0.248177697603969,
      0.272640178264335,
      0.342553159764898,
      0.294158214575178,
      0.286580524243917,
      0.374587140503623,
      0.205307840815499,
      0.326997686204183,
      0.607294246055786,
      0.298917135698227,
      0.46478903874354,
      0.415375505229635,
      0.342719204457893,
      0.261354273464386,
      0.275789594391941,
      0.404538445065366,
      0.328359772190723,
      0.438284508400845,
      0.391896274204575,
      0.452869706073806,
      0.429234081157159,
      0.332215240895317,
      0.37352025286934,
      0.181663455732459,
      0.442230196553659,
      0.134457866044706,
      0.506695147719977,
      0.417847063163331,
      0.415898572157635,
      0.365431395009085,
      0.368926681921524,
      0.361198246337419,
      0.229041687048347,
      0.29093209954481,
      0.223976614079185,
      0.117522747589579,
      0.258365228841737,
      0.200332980269561,
      0.188156459450515,
      0.478041743156264,
      0.234938455621995,
      0.209534489686058,
      0.477854528625737,
      0.288976034526853,
      0.217151833779023,
      0.215552275729505,
      0.126962464057507,
      0.199296910444795,
      0.312095574423168,
      0.096361175754733,
      0.540347991947286,
      0.233347617208352,
      0.190082553738253,
      0.309218519147572,
      0.200367274312445,
      0.295170776918268,
      0.269424431205837,
      0.163445171944827,
      0.482797089269604,
      0.335217360636094,
      0.312567831436835,
      0.441779446194782,
      0.237969825275914,
      0.359655576031996,
      0.291407177639452,
      0.28717903902467,
      0.213191761245355,
      0.199584143068536,
      0.29007114593402,
      0.538721972864451,
      0.385364541324945,
      0.396430036394977,
      0.248668540468881,
      0.0960460841989267,
      0,
      0.364666559131433,
      0.366678292029558,
      0.241536553405951,
      0.376793471830894,
      0.601554801007583,
      0.515550132076055,
      0.227532617955845,
      0.471957989777259,
      0.360124646054764,
      0.395497103954362,
      0.119573916869351,
      0.279565604379377,
      0.368418737232627,
      0.50498996427126,
      0.572014260476249,
      0.539318229757989,
      0.322612096880897,
      0.45535636459203,
      0.421785503573094,
      0.467497438196724,
      0.267115551908162,
      0.574944618440891,
      0.134325523479533,
      0.0931740242491533,
      0.497492210452952,
      0.214245952705198,
      0.393941160178236,
      0.155447230055711,
      0.303092765980871,
      0.376205253855143,
      0.318525717439715,
      0.312023423391257,
      0.566961236885644,
      0.11048251495449,
      0.558547279900975,
      0.372029031163578,
      0.574056678946687,
      0.542996323127452,
      0.313162216880918,
      0.302659157702755,
      0.583457954767976,
      0.32513727825089,
      0.58153332600149,
      0.587324724236474,
      0.365037012493091,
      0.490458644214861,
      0.487516813141701,
      0.384684047761414,
      0.177051548068619,
      0.220493511759572,
      0.457502524082401,
      0.409467621288334,
      0.361780857348231,
      0.359719525051345,
      0.583451725819379,
      0.517017093176196,
      0.50343793584103,
      0.493282459014987,
      0.32685115132881,
      0.532438620370109,
      0.336481154053752,
      0.461682793173668,
      0.552463103811097,
      0.314738377400539,
      0.384107514196238,
      0.287156104485066,
      0.433923647958993,
      0.384836741670868,
      0.459430748643959,
      0.411888846518781,
      0.300230664713282,
      0.299248391042627,
      0.482831879875075,
      0.526225102650706,
      0.537725319342227,
      0.485486157610893,
      0.349115774357078,
      0.336116000311778,
      0.539456546386772,
      0.506244187696793,
      0.294217235105251,
      0.540708108195658,
      0.471580601712064,
      0.425040612305573,
      0.430222213050808,
      0.436707445430982,
      0.361866479448917,
      0.498267457016077,
      0.377205042691213,
      0.392368573685548,
      0.260653577616617,
      0.109186742717104,
      0.508764884944583,
      0.236393071546275,
      0.379272902993877,
      0.443766468677694,
      0.432482145128741,
      0.0926848682783479,
      0.519172854337041,
      0.332652644951518,
      0.475252558070855,
      0.322861296447021,
      0.280207689898544,
      0.311667566818397,
      0.405346041163158,
      0.330366449399303,
      0.355054212705361,
      0.599860783568847,
      0.388414137119363,
      0.46947484275644,
      0.288244113781315,
      0.538353581449989,
      0.281011368162356,
      0.405303832123671,
      0.474828088316497,
      0.323242153522155,
      0.465262114583097,
      0.473323909329821,
      0.435486873193495,
      0.454378915234224,
      0.359034005793585,
      0.302002328990639,
      0.455348340893119,
      0.447580684462607,
      0.261655994610627,
      0.558942615204822,
      0.463964333540076,
      0.2741566543815,
      0.301527292723784,
      0.470034893112813,
      0.557824969198983,
      0.377898400982446,
      0.373364339006628,
      0.38109624302631,
      0.327077785797381,
      0.318062207978583,
      0.317762438860102,
      0.306716519308734,
      0.304833831546193,
      0.291559284412405,
      0.156409828198475,
      0.546644059327199,
      0.332499988962289,
      0.307270363269104,
      0.356269645942373,
      0.387306188035361,
      0.201609479941817,
      0.312644140889587,
      0.129976072985544,
      0.512296838424095,
      0.241505336807315,
      0.339247779844536,
      0.32878169245086,
      0.231772894442335,
      0.281617631706356,
      0.296391402622582,
      0.353611581531614,
      0.433967500818559,
      0.412316418179312,
      0.330333483524571,
      0.552907209606188,
      0.224017083538841,
      0.386471148337698,
      0.397150607746833,
      0.333324713916986,
      0.226124089186558,
      0.242716430946369,
      0.308784343535366,
      0.472467239786054,
      0.429970238690609,
      0.329650235053899,
      0.334210891478341,
      0.129780004075284,
      0.124958745833939,
      0.371194514897266,
      0.39791467976514,
      0.474450705131071,
      0.415064392389825,
      0.498579815923346,
      0.577512798356308,
      0.266779858070398,
      0.40747410636072,
      0.399770888657978,
      0.388415170039583,
      0.565181396921008,
      0.199805813887018,
      0.121145153014273,
      0.429388528072205,
      0.492200851031761,
      0.345084483432262,
      0.458736297697982,
      0.533252189239956,
      0.589295269111767,
      0.473525159343318,
      0.380800280378696,
      0.363043308054921,
      0.00179624872907637,
      0.161338306352181,
      0.559655028793055,
      0.280646962594676,
      0.540027251404908,
      0.310069619743068,
      0.312985513014361,
      0.220267543822872,
      0.367441647200555,
      0.553036378694452,
      0.586695980681817,
      0.338492318435294,
      0.464611351301038,
      0.546929668913754,
      0.319479428615901,
      0.356791030226772,
      0.311024275047778,
      0.480198071778065,
      0.620990594366397,
      0.352989786351003,
      0.571393616139406,
      0.528313139873565,
      0.364515721187168,
      0.303186999003792,
      0.421732327446892,
      0.477251423098137,
      0.580031592954522,
      0.216309903529907,
      0.183606288561193,
      0.427421993767351,
      0.344188962042962,
      0.437652824581742,
      0.635049452337456,
      0.455402904407843,
      0.453098824252952,
      0.489931653218984,
      0.395154445112553,
      0.489984162704731,
      0.292298738294739,
      0.372412904536165,
      0.465907886205791,
      0.402409998349665,
      0.392734050727611,
      0.335561715536473,
      0.499714513637367,
      0.29404525371516,
      0.48844254293622,
      0.457255392074398,
      0.237703828060172,
      0.147506118319503,
      0.445689134833611,
      0.547956185124012,
      0.559852076999382,
      0.488228843716599,
      0.228663483488349,
      0.390000699908139,
      0.524738037626553,
      0.466020091704181,
      0.341249241825232,
      0.495004165122124,
      0.469588535715017,
      0.483869449940059,
      0.46183746711563,
      0.436012182110254,
      0.416437462427725,
      0.482263409263556,
      0.429094876269295,
      0.407052619689202,
      0.254151454433836,
      0.140606022441263,
      0.530293759888512,
      0.184746590082486,
      0.380695530149126,
      0.44800569395058,
      0.374300886281144,
      0.190666596859739,
      0.427727025930246,
      0.40146629351937,
      0.303890880035598,
      0.324746034427548,
      0.294615590600245,
      0.434972682539224,
      0.458158721919098,
      0.425099076701007,
      0.479396169278118,
      0.531902160430251,
      0.341807535573457,
      0.327251659314761,
      0.269404937661494,
      0.527339794613188,
      0.25893162803555,
      0.330446069827362,
      0.486688232278083,
      0.269917740464239,
      0.453459898142823,
      0.452182084050646,
      0.346499830746751,
      0.460985594575582,
      0.519422724262689,
      0.207678192362597,
      0.585994283014843,
      0.428158944266342,
      0.384201167849772,
      0.332980576412492,
      0.342834471027585,
      0.271344717010323,
      0.332625106908386,
      0.603776144934351,
      0.513167151350557,
      0.325473169311818,
      0.335774415239599,
      0.434932806747914,
      0.25923852589661,
      0.417382376282365,
      0.433439871779426,
      0.375146794693558,
      0.323797992012386,
      0.312597067257317,
      0.165126985796406,
      0.545384731528651,
      0.400492175058411,
      0.216945199408923,
      0.309078534026832,
      0.309166055533228,
      0.304214187285479,
      0.433992293252544,
      0.364652261234922,
      0.407849489858285,
      0.231064275226247,
      0.118328425307565,
      0.500315033058021,
      0.440694412890772,
      0.314633827059686,
      0.26255996280768,
      0.334245660079321,
      0.424136338976773,
      0.443097581620847,
      0.365076657160268,
      0.539332190122705,
      0.289085627479143,
      0.331005580891478,
      0.360277494689613,
      0.341573704920928,
      0.230030836397316,
      0.240032665910615,
      0.335186710049788,
      0.210758609232409,
      0.415017965469204,
      0.335842991520638,
      0.44631451143869,
      0.112748900347873,
      0.0961437506653616,
      0.361849023171758,
      0.379771179762413,
      0.293996917835046,
      0.361824239978077,
      0.205749300366115,
      0.501097408903402,
      0.442441706605082,
      0.326630357046769,
      0.320397133785302,
      0.19292570684984,
      0.281006529943985,
      0.434967129462759,
      0.368708887923714,
      0.1094896208497,
      0.191966146604223,
      0.198050513643613,
      0.478489514743995,
      0.404338322032806,
      0.396847422409705,
      0.385189750849024,
      0.397143571402467,
      0.34698628259818,
      0.293481184674145,
      0.231386263654644,
      0.466868365760788,
      0.270626583847982,
      0.219978984447514,
      0.349326639308963,
      0.276001716864959,
      0.304373301283194,
      0.225611174044796,
      0.309837394883226,
      0.167856401777737,
      0.530430114023193,
      0.470921775893304,
      0.575523609484796,
      0.113739816850815,
      0.41591156200683,
      0.280761273593398,
      0.157178180483442,
      0.388371863236604,
      0.0617275857930721,
      0.282583744219666,
      0.411770353694543,
      0.351208396050445,
      0.402889335088754,
      0.464527984597048,
      0.113742569794527,
      0.241111946581574,
      0.36290437554125,
      0.288961750353031,
      0.205598663439635,
      0.215022915593986,
      0.0716868338776314,
      0.549238072222521,
      0.27060497580231,
      0.0991524906526264,
      0.23716535120849,
      0.106030661271151,
      0.256917347040709,
      0.394958517334577,
      0.452976377184009,
      0.277172447743401,
      0.103101082028792,
      0,
      0.392251675963536,
      0.144140373622582,
      0.346202322749995,
      0.303846079009944,
      0.145887925345243,
      0.367051827938945,
      0.287151921982443,
      0.483920532115219,
      0.500699600895717,
      0.474859397877155,
      0.239308623165433,
      0.573534111468463,
      0.22147856079521,
      0.376632796660428,
      0.373452230887227,
      0.367973751394268,
      0.332919570740865,
      0.41146125901945,
      0.259065426879907,
      0.35410311065578,
      0.505267042464923,
      0.416616116948576,
      0.4103484066253,
      0.364740918063602,
      0.417609246239378,
      0.312417936391582,
      0.397010465304666,
      0.362924236059442,
      0.399332087331581,
      0.451657222134692,
      0.426930787508614,
      0.401838388400387,
      0.38297406344625,
      0.3046986415218,
      0.238282600617265,
      0.255923018939651,
      0.524834069661659,
      0.148386447459623,
      0.515196441610209,
      0.443846662857524,
      0.411538590525322,
      0.310972853955342,
      0.396840431688214,
      0.350889142115221,
      0.242933825675614,
      0.2277315545659,
      0.201901058775684,
      0.158048895111495,
      0.297131040908006,
      0.16192969129613,
      0.204502157869403,
      0.48283140259847,
      0.235182241569698,
      0.182255925546434,
      0.464665471603306,
      0.278835192152815,
      0.221378339883335,
      0.214507361743318,
      0.188058308107924,
      0.208706846370139,
      0.231055433365921,
      0.106423514763599,
      0.575476153578057,
      0.266774456847565,
      0.193600157237877,
      0.41577090232405,
      0.204438304216365,
      0.363627420770943,
      0.350206635532929,
      0.286306323378189,
      0.453696069956621,
      0.355840579295622,
      0.292727486540408,
      0.447134558561821,
      0.473994897818605,
      0.356822033278621,
      0.402974496665858,
      0.299395438717687,
      0.279852968096216,
      0.248233101719517,
      0.365204982784798,
      0.568486712136949,
      0.395632297472558,
      0.390517368076155,
      0.277698110053158,
      0.0263616133605209,
      0.0595118764282431,
      0.376710377730625,
      0.359774426652061,
      0.390755708527911,
      0.420312909373955,
      0.579876595656738,
      0.482761200366974,
      0.260868593305934,
      0.507356073232157,
      0.397619698075038,
      0.455707704680193,
      0.126152892739011,
      0.253172605928092,
      0.290858771242467,
      0.530866255084866,
      0.556248963366926,
      0.520014878654038,
      0.323530884294186,
      0.361777315061888,
      0.419779543170547,
      0.450092009443523,
      0.379275466793093,
      0.573965534151837,
      0.10766385077257,
      0.0233292870408736,
      0.544258264676273,
      0.159032532673076,
      0.450785508131547,
      0.125312166701016,
      0.212326877068444,
      0.366099685404309,
      0.307713458374846,
      0.302193426304971,
      0.491652729791851,
      0.0434325873364721,
      0.414404210671791,
      0.362585942155875,
      0.544394444430997,
      0.533891619866356,
      0.283809607065175,
      0.303897181491028,
      0.366406912900344,
      0.370702106583622,
      0.562958069917569,
      0.603430744219287,
      0.339880985682078,
      0.507702984994753,
      0.516767494871214,
      0.455535197273529,
      0.138702805524369,
      0.0885954923986156,
      0.431301233676141,
      0.40974263088692,
      0.342069206436985,
      0.346993031946953,
      0.46225662494723,
      0.489191274269224,
      0.378231650306941,
      0.487640527330604,
      0.364116388144072,
      0.526759705032347,
      0.369198890182875,
      0.444881245791251,
      0.590052028536065,
      0.334998307428807,
      0.46631076729193,
      0.252704246095202,
      0.392924891812942,
      0.384128765182341,
      0.455925032901741,
      0.420136216407814,
      0.293014759726589,
      0.286843610070511,
      0.474981669227642,
      0.513071744771944,
      0.512911675222207,
      0.443566552152253,
      0.308827614067634,
      0.339583917528325,
      0.53091268648786,
      0.515634091330382,
      0.422813376932415,
      0.571324723195208,
      0.448122761236037,
      0.384402724162334,
      0.391356999831998,
      0.420340153934315,
      0.431938415783164,
      0.457427765483328,
      0.42272209419922,
      0.384867611797497,
      0.383396641740059,
      0.118798418463795,
      0.507948081572591,
      0.276149772981451,
      0.447644361498422,
      0.564559027968825,
      0.50647494819105,
      0.126675098621828,
      0.56769874883499,
      0.318428418325024,
      0.522819441586408,
      0.38389557634441,
      0.363052445740665,
      0.374926692292214,
      0.386995275289889,
      0.419913515813597,
      0.378359877539452,
      0.537107616152575,
      0.494386349412735,
      0.358205750760155,
      0.298561268299674,
      0.585630677604178,
      0.328646360593022,
      0.486579007666849,
      0.375972195985474,
      0.344425089574787,
      0.416500674770673,
      0.526233788473917,
      0.429371093075555,
      0.445368349372486,
      0.392444668399152,
      0.2622932438535,
      0.430946556252375,
      0.522252366245015,
      0.262884845671403,
      0.540449373978312,
      0.30561183579509,
      0.309441197838011,
      0.309080960257045,
      0.394072613130005,
      0.562683378194328,
      0.316528048579872,
      0.456809244466494,
      0.443085680105945,
      0.372392822638632,
      0.272580067158358,
      0.22742922195698,
      0.237015463850697,
      0.268242430878365,
      0.280632377136308,
      0.149184798772314,
      0.552898519595468,
      0.389517818353679,
      0.352621099685829,
      0.418484740718275,
      0.447888120829477,
      0.248066674304712,
      0.347639642569494,
      0.223782940028272,
      0.542642222304628,
      0.260809214945048,
      0.399176971774867,
      0.491520303286829,
      0.230689851480405,
      0.348837067198571,
      0.348862097746352,
      0.391872083662763,
      0.354420354400798,
      0.294751452232931,
      0.291657552848974,
      0.540085810611798,
      0.48238314029607,
      0.448548753805967,
      0.478784819254444,
      0.28975669022228,
      0.263970856210044,
      0.176952994710466,
      0.313444755004675,
      0.484981990132945,
      0.426488358699728,
      0.335939398690186,
      0.361476191463412,
      0.0777768628434328,
      0.133140324985779,
      0.403326841335824,
      0.392884900038905,
      0.366740854265754,
      0.349680323859261,
      0.50031131688862,
      0.529176443163646,
      0.117152366294295,
      0.480343296008393,
      0.478018034573427,
      0.461061925806449,
      0.308029328914029,
      0.168215137687831,
      0.189493154597879,
      0.420189680990542,
      0.395466765716161,
      0.338307369039526,
      0.446983524747414,
      0.520828137939185,
      0.42782471415595,
      0.45798412066954,
      0.358676405027483,
      0.352444016713908,
      0,
      0.0362794524462158,
      0.597303020112727,
      0.300424852762165,
      0.530419112373668,
      0.257753478575183,
      0.18228556055461,
      0.127113576327909,
      0.341603069067443,
      0.570538931863014,
      0.24333157818403,
      0.304954157727405,
      0.560396464772807,
      0.524720448463833,
      0.269844943936114,
      0.351943665498094,
      0.304118162282447,
      0.389389864374181,
      0.436444506985038,
      0.356406134778035,
      0.554608750898164,
      0.542793102286013,
      0.332681805473948,
      0.376245759643139,
      0.433483146969812,
      0.473779099384017,
      0.551231137965677,
      0.180267966254781,
      0.0812837748137692,
      0.391642270797301,
      0.321908114046399,
      0.42718198751809,
      0.560731353076979,
      0.425440946061146,
      0.457258342465817,
      0.505681058065708,
      0.481245416944827,
      0.479880742213382,
      0.302860345322195,
      0.395898644760168,
      0.48076752628047,
      0.277569631408991,
      0.359136151729299,
      0.371887288709467,
      0.491146541132843,
      0.277043565174309,
      0.477847601373116,
      0.454730374784464,
      0.231022978929313,
      0.189058237621506,
      0.447610612984567,
      0.561323639712679,
      0.535757526477271,
      0.50577117426936,
      0.206347826080597,
      0.384102756370687,
      0.516095296005934,
      0.490569767514805,
      0.467964004283703,
      0.501286039768483,
      0.453655338444737,
      0.446964323747702,
      0.408472319477886,
      0.420862939270871,
      0.465088163889989,
      0.517798194285271,
      0.468054704430459,
      0.383371223050678,
      0.39831469539343,
      0.172764017100714,
      0.534744931878246,
      0.180048097943687,
      0.460355773915328,
      0.573429677168833,
      0.443183519691185,
      0.165906281795801,
      0.523576804940539,
      0.362842060465127,
      0.47142516293131,
      0.404812018002917,
      0.35526485383835,
      0.450538993762808,
      0.476583653156266,
      0.467280379268154,
      0.442244357153862,
      0.479137997429969,
      0.455431686618258,
      0.326671526315509,
      0.231016241180427,
      0.560350009057911,
      0.341553729804254,
      0.420626989401799,
      0.402453995161787,
      0.332370833509885,
      0.39888828400471,
      0.552253533789894,
      0.406500415390217,
      0.427839852538495,
      0.517621303038716,
      0.218549509288426,
      0.582046292925637,
      0.54178834341187,
      0.441240751677958,
      0.35583428332501,
      0.343109094568735,
      0.320431583852283,
      0.37510032235372,
      0.488001106626365,
      0.487958842073005,
      0.313713090529669,
      0.315234150504065,
      0.409588942482866,
      0.350422216707693,
      0.396778213119911,
      0.412988352724719,
      0.444838290508239,
      0.304515392341414,
      0.47979266475333,
      0.388924406499862,
      0.587707161001136,
      0.401831445391465,
      0.273961377713659,
      0.299622925540717,
      0.287279172746386,
      0.381610153291272,
      0.449851133716712,
      0.370702541050217,
      0.409957148170975,
      0.228768081980634,
      0.130512762647135,
      0.542695967093776,
      0.432627579167254,
      0.344203738593523,
      0.306368462797784,
      0.41135721688768,
      0.356071524902986,
      0.393073685988177,
      0.334953968824275,
      0.562024182450654,
      0.446378994897361,
      0.358551320089454,
      0.472551471773152,
      0.305660416766526,
      0.289542306796657,
      0.192215734605931,
      0.32845390488949,
      0.345979918782153,
      0.41652710650199,
      0.328345269671603,
      0.425193927176363,
      0.102920617555295,
      0.0671244641413107,
      0.346890943435786,
      0.365400962259107,
      0.348133969841864,
      0.371830064962926,
      0.23734501636596,
      0.522150615563664,
      0.487352723020827,
      0.386125846078889,
      0.330210842592378,
      0.245714638334691,
      0.179224422530258,
      0.3686503641287,
      0.230102752583302,
      0.114147147545846,
      0.187121241276342,
      0.25539152642673,
      0.51835017279509,
      0.306456176366676,
      0.449504134457072,
      0.470015698176638,
      0.466204952684941,
      0.330286922185487,
      0.350014669781401,
      0.185876581428791,
      0.487548536217856,
      0.241147865843759,
      0.242047944651527,
      0.398166158850121,
      0.396581096164153,
      0.311794477420643,
      0.269403216416569,
      0.335599107682963,
      0.171428303031393,
      0.503328462110936,
      0.311020352782093,
      0.582359773517946,
      0.0822986066409351,
      0.496234131265883,
      0.333953474656513,
      0.291322808312615,
      0.381928311371781,
      0.0923400545123333,
      0.283268499207642,
      0.417378354163878,
      0.37563965092974,
      0.362617177932656,
      0.448845754867842,
      0.274226513011775,
      0.226719792231173,
      0.312567747745958,
      0.33882308785968,
      0.232270852707936,
      0.203891052498617,
      0.0984718629355941,
      0.594227633724819,
      0.278636107279999,
      0.189892118143454,
      0.281021145179576,
      0.0879516718252269,
      0.274781800423488,
      0.394349939009625,
      0.407059902926301,
      0.289462496948229,
      0.176739798826963,
      0,
      0.31698255479502,
      0.0606585435541556,
      0.318958296748987,
      0.261784484032633,
      0.0370975569267847,
      0.371832440507168,
      0.255719404536832,
      0.412322319947543,
      0.460133365310664,
      0.39945429272716,
      0.257692172470549,
      0.43385668274076,
      0.218345043133999,
      0.343510407772978,
      0.388170233416679,
      0.334807236126305,
      0.271024658609478,
      0.390831065479243,
      0.164753297212112,
      0.290097378223212,
      0.336982232677997,
      0.385565768513033,
      0.19682658780459,
      0.142709739274146,
      0.246296206409094,
      0.326820406196885,
      0.328536820186798,
      0.231607283999318,
      0.405480786786732,
      0.404603284258542,
      0.522562051041635,
      0.424927493398846,
      0.336094443419056,
      0.183243142671704,
      0.314166740425108,
      0.174726027845546,
      0.452443255510777,
      0.142789728754889,
      0.391143233742301,
      0.241900355649828,
      0.278889957370409,
      0.141230782635709,
      0.347647991360007,
      0.231003245333799,
      0.146763827199694,
      0.0231353114818566,
      0.0900041181367342,
      0.207461794361709,
      0.245507841615975,
      0.129605406072731,
      0.363040566547066,
      0.481413631381932,
      0.173977041701694,
      0.268966510459776,
      0.412035208807216,
      0.175383658601358,
      0.219350526781136,
      0.228040682514168,
      0.19445629670552,
      0.211755325426883,
      0.184122031406932,
      0.181939107412682,
      0.512972349390108,
      0.258984989438439,
      0.213105501231392,
      0.374892842840229,
      0.15716785553076,
      0.349453622790214,
      0.322707574205498,
      0.448783059952448,
      0.409791732231961,
      0.402559201721729,
      0.279614039134739,
      0.457871012204978,
      0.458811986127225,
      0.396379389001173,
      0.388889481578328,
      0.335020749277108,
      0.350745100450351,
      0.335626109640338,
      0.380999095971416,
      0.535496380899647,
      0.24559736432811,
      0.271299485793559,
      0.254352099062659,
      0,
      0.0743926937799949,
      0.354939447023467,
      0.0910519071966208,
      0.415621214379677,
      0.42193447462666,
      0.201646272153355,
      0.425860267903856,
      0.245636360532899,
      0.47706250053485,
      0.37776041000805,
      0.420961453503496,
      0.0726144782445635,
      0.0278132946399407,
      0.311085196848826,
      0.53831825532688,
      0.446721282295954,
      0.357969895238248,
      0.348987207796557,
      0.365654219642141,
      0.372864424935512,
      0.3841709185306,
      0.309196961011551,
      0.401196539069927,
      0,
      0,
      0.49171260738265,
      0.141317006552894,
      0.420455663911772,
      0.110589788443088,
      0.167231250169938,
      0.0762453301259824,
      0.32519506471501,
      0.00519717528246709,
      0.485454019857734,
      0,
      0.350340842686982,
      0.325155863631129,
      0.331615417841542,
      0.41810171862295,
      0,
      0.305610270572312,
      0.247176662792838,
      0.345475061343323,
      0.464190161019094,
      0.563026059876094,
      0.342656571681067,
      0.438695557508577,
      0.444163926473183,
      0.413475044944078,
      0,
      0,
      0.381602135519908,
      0.397531481602412,
      0.224030671240907,
      0.202610049790704,
      0.446259722634551,
      0.345911714208565,
      0.296367719545943,
      0.551927645723791,
      0.3366987965557,
      0.299198655689051,
      0.353349573603481,
      0.301421246476961,
      0.532424833906958,
      0.289625636936552,
      0.42526591471367,
      0.22665893088345,
      0.283304659265413,
      0.236343734442135,
      0.287774819967708,
      0.317669225550247,
      0.235360559831875,
      0.294352225553652,
      0.393992702364389,
      0.526806706360552,
      0.471950700110237,
      0.347390153182476,
      0.147289634996384,
      0.154070710434467,
      0.354813859261424,
      0.416174089559634,
      0.413135040039719,
      0.529141381793863,
      0.278564755221713,
      0.382694946883417,
      0.421679883270484,
      0.271154520658803,
      0.429447615110591,
      0.483147942282995,
      0.45259098946906,
      0.352874506327985,
      0.393044712402674,
      0.0970123707318076,
      0.500395173830114,
      0.284210248714327,
      0.404777840859028,
      0.474555948643061,
      0.474299381773609,
      0.125241038309013,
      0.499863335822695,
      0.219750965638181,
      0.521205833376963,
      0.273677109985073,
      0.281413969462346,
      0.309772031048644,
      0.361380118391365,
      0.285750929798816,
      0.320242830505385,
      0.361993939584307,
      0.450536679515134,
      0.262833251544448,
      0.143085937646831,
      0.532380764663823,
      0.32513752683402,
      0.454452447000586,
      0.21807381364865,
      0.326200624999904,
      0.39568843318307,
      0.500347122205535,
      0.478890034387234,
      0.408353221336997,
      0.242764111808587,
      0.225960318268484,
      0.408580742064319,
      0.519357335115635,
      0.177261415802828,
      0.401493280728879,
      0.282406498002745,
      0.168332589917972,
      0.212896552210579,
      0.301419624333084,
      0.530844242998448,
      0.298053797908989,
      0.414825702551585,
      0.401025181890479,
      0.352044936689227,
      0.264442454187389,
      0.201031589126484,
      0.206639912794674,
      0.26893569711794,
      0.18377407358907,
      0.210892812771662,
      0.546863167248666,
      0.175553605307616,
      0.318795480783948,
      0.390050260600928,
      0.415958087122452,
      0.242716351901531,
      0.239505158478992,
      0.196299270936648,
      0.503915694176107,
      0.181962133047589,
      0.365160077408096,
      0.518234406186951,
      0.146508526712315,
      0.324506409856152,
      0.285277767746687,
      0.499166810510082,
      0.200014869012971,
      0.379631182503727,
      0.30047571758971,
      0.518803348661856,
      0.464156888787681,
      0.495048043747354,
      0.469614744512992,
      0.295550646952511,
      0.316774969180322,
      0.257087703536542,
      0.276768062283945,
      0.496702616365057,
      0.275012489375685,
      0.257874586201242,
      0.376840435780305,
      0,
      0.11201604152519,
      0.366299950648793,
      0.176498731637216,
      0.254009590941053,
      0.290450998439066,
      0.327179895772051,
      0.524003466950986,
      0.0353034838905329,
      0.436389174500796,
      0.439137976708112,
      0.424470204679742,
      0.336456171015661,
      0.0356696250380496,
      0.134467085182395,
      0.403734269005044,
      0.306406461908539,
      0.265015108917955,
      0.388839335064139,
      0.451049867662172,
      0.271072613556408,
      0.338298809093538,
      0.314185340753594,
      0.223163345484104,
      0,
      0,
      0.565563229718574,
      0.201925181831595,
      0.424016209019622,
      0.260641554605978,
      0.0954573126424702,
      0.0353450977941078,
      0.214623381312818,
      0.313026659338378,
      0.222969370719287,
      0.170513188886315,
      0.539687164483805,
      0.521552244760304,
      0.203653729894837,
      0.312823827963379,
      0.105927635514186,
      0.28425065755028,
      0.289403573150774,
      0.25177696267291,
      0.446205808859313,
      0.497346334528207,
      0.295372649383186,
      0.333037542299801,
      0.344336299084427,
      0.229896991071652,
      0.203737881511568,
      0.209501418706699,
      0.151582461450665,
      0.312475457904785,
      0.304172925379026,
      0.111877294561713,
      0.522312113140672,
      0.237234698193614,
      0.424311542434028,
      0.554124506968917,
      0.444530389381453,
      0.267506654137661,
      0.274208982798917,
      0.300369908843648,
      0.46575532529247,
      0.263927749574703,
      0.312220799737919,
      0.378812121218034,
      0.415532895171813,
      0.24468842330671,
      0.271679379198176,
      0.303667133367525,
      0.167260757586647,
      0.182662527335324,
      0.488539583160465,
      0.557222287418563,
      0.471489774805575,
      0.45020735010685,
      0.0988163173440708,
      0.180614273306891,
      0.351147444947869,
      0.408411458641695,
      0.480470607850952,
      0.426011505878917,
      0.242756052635327,
      0.249374326648438,
      0.426905043065814,
      0.2746094382653,
      0.406951190177626,
      0.50435174887789,
      0.403201144373706,
      0.336874792255659,
      0.409755379179111,
      0.125907382561518,
      0.502980569724266,
      0.179407011203458,
      0.412029230463303,
      0.466414821307817,
      0.449842911060655,
      0.14593878734016,
      0.441126618260818,
      0.227453067615968,
      0.467807745518128,
      0.29482454081608,
      0.318983630487268,
      0.437879831727191,
      0.468234319040281,
      0.424408228477262,
      0.398037781440856,
      0.444368100971573,
      0.415341680526485,
      0.326437059029912,
      0.0683907535460857,
      0.539177118238492,
      0.343778739472147,
      0.376747431925434,
      0.302356434416224,
      0.310282593954937,
      0.338186561693528,
      0.455367709991727,
      0.461717051835189,
      0.398148383352118,
      0.350629579846024,
      0.203044971275864,
      0.551135762592841,
      0.531875982643047,
      0.416714610832897,
      0.310166005006036,
      0.353425088542934,
      0.209392245821845,
      0.274520193203757,
      0.348428696954403,
      0.472470737439766,
      0.291736544589483,
      0.30272465061119,
      0.39482815685708,
      0.441185843874738,
      0.242213066228911,
      0.466470559140444,
      0.288198113269819,
      0.268103479582716,
      0.398982019220512,
      0.428941930314474,
      0.546504037149651,
      0.315535399428274,
      0.364713893053297,
      0.280426820454002,
      0.350451634439358,
      0.3844831429263,
      0.338199327552792,
      0.288736136765855,
      0.399335392613419,
      0.146943768611538,
      0.158783009123287,
      0.505592260699019,
      0.21136364733718,
      0.299157797701596,
      0.330061912798178,
      0.470735995215675,
      0.181162166257014,
      0.411794245417151,
      0.31613258583539,
      0.526760750119005,
      0.394932404636251,
      0.429608987182962,
      0.517894087426214,
      0.355542009136252,
      0.375136945265486,
      0.290872481779481,
      0.30158696055606,
      0.373139535601176,
      0.249533961302724,
      0.255125318819853,
      0.446161872731449,
      0,
      0.0219423310529627,
      0.378458919054146,
      0.148570867874163,
      0.270885127823528,
      0.233176818926069,
      0.229175275710488,
      0.494609123727094,
      0.441063904384552,
      0.346812914048441,
      0.342631851465075,
      0.206441580227958,
      0.203285331502052,
      0.34769372864745,
      0.301207988049468,
      0.111648040216856,
      0.136902048154662,
      0.123092096954307,
      0.455888170252696,
      0.185902595543739,
      0.409313524743908,
      0.442754995510259,
      0.4288022873232,
      0.334898903894356,
      0.241432892215225,
      0.185482306836278,
      0.508490598864057,
      0.221115810519036,
      0.18862146614177,
      0.33750795159027,
      0.409235371333493,
      0.251324893063197,
      0.316310530220151,
      0.197874145673934,
      0.161764541940218,
      0.166287285765512,
      0.2272298115458,
      0.556888016036467,
      0.0331216999925372,
      0.451939567302939,
      0.302277887156171,
      0.165945907232208,
      0.24346765055175,
      0.00532332609934772,
      0.262119785665631,
      0.409046787139817,
      0.324681148606558,
      0.251412161806576,
      0.450134057889092,
      0.289928392660072,
      0.248900343887327,
      0.250538639363506,
      0.399496164533164,
      0.249457433963801,
      0.2890212721659,
      0.0718181000861351,
      0.536971645853712,
      0.268811172871566,
      0.15840112102437,
      0.199550613455355,
      0.106913662099033,
      0.242844881902223,
      0.190944379784904,
      0.155396383012723,
      0.161239954712847,
      0.141938170157466,
      0,
      0.209574102707747,
      0.0644630644649848,
      0.247577410452743,
      0.247195423472816,
      0.0384670245906572,
      0.232150220284366,
      0.275886804173633,
      0.309624838658281,
      0.390037026727153,
      0.443487310504051,
      0.255912064059355,
      0.221409581037889,
      0.247944265350073,
      0.211256743896936,
      0.306022472995851,
      0.305123255624538,
      0.228972512475705,
      0.378756787878655,
      0.171077505275843,
      0.161563521183531,
      0.352972058990297,
      0.210671835916516,
      0.183438220822026,
      0.224020992357882,
      0.245680385910379,
      0.206009375447109,
      0.224960636953197,
      0.25770250441617,
      0.342466476936283,
      0.426512059172814,
      0.494254843871509,
      0.429606809083883,
      0.340589986077774,
      0.0718500165054329,
      0.290292286272466,
      0.102900893332013,
      0.277380139940874,
      0.200204304617921,
      0.38578016954715,
      0.227588240081729,
      0.217981864665908,
      0.158788847362489,
      0.318061951752511,
      0.25746500203322,
      0.128360420799924,
      0.0715181703058414,
      0.15209961354687,
      0.122707632379282,
      0.209518111656943,
      0.18790310285533,
      0.380184571989199,
      0.445498775426743,
      0.179943464703864,
      0.240903548822729,
      0.388867236231874,
      0.219859159185006,
      0.193385974478421,
      0.151971021750051,
      0.139707289143009,
      0.173034774690545,
      0.184119685944739,
      0.208278010821414,
      0.514146044034453,
      0.0822024382155326,
      0.253147644890289,
      0.260726407273317,
      0.130801919927778,
      0.211176172562406,
      0.305650676724041,
      0.400912252229427,
      0.366085163967899,
      0.3913359918085,
      0.31845950616041,
      0.48364852309846,
      0.184455957596034,
      0.348348887474719,
      0.304569955091715,
      0.345287821154061,
      0.155896478220544,
      0.29836004251558,
      0.254455692410069,
      0.528689116776591,
      0.217205422724335,
      0.145302233860891,
      0.209251555626044,
      0,
      0,
      0.350106663381686,
      0.0789058457247966,
      0.186628876438948,
      0.341109597593595,
      0.156182693135073,
      0.482337086051113,
      0.187099735880012,
      0.402107526956136,
      0.454529561079154,
      0.479784447281935,
      0.102972098206579,
      0.026656023729477,
      0.29550793691586,
      0.473375241076236,
      0.431303193841251,
      0.3170716821004,
      0.232596419604917,
      0.374532356990781,
      0.257509881997224,
      0.375612162088228,
      0.194653869900943,
      0.321882248009585,
      0,
      0,
      0.540778059156721,
      0.131384863684177,
      0.480768287189095,
      0.100979602569377,
      0.158479703516041,
      0.098262411564096,
      0.261113848894435,
      0.030841660634878,
      0.453502880500472,
      0,
      0.336555744341525,
      0.346994676152951,
      0.381936749091042,
      0.292095426924062,
      0,
      0.291543886227839,
      0.325250606567628,
      0.281863883109641,
      0.437203133154469,
      0.551073286306882,
      0.286984550495281,
      0.474437669236594,
      0.461347369388296,
      0.407187939258823,
      0.0557682642062335,
      0,
      0.357127287616157,
      0.359976686149257,
      0.239454910780142,
      0.144227364482773,
      0.460008354253586,
      0.336024263471226,
      0.259475638612782,
      0.509436928117773,
      0.400234848763168,
      0.299549649504561,
      0.272265098003514,
      0.27433615791896,
      0.49307544935963,
      0.172921945164926,
      0.422514350153592,
      0.223304856559946,
      0.226693155619212,
      0.251347199478599,
      0.369343331777083,
      0.360838915685707,
      0.245051563950067,
      0.295878663933911,
      0.313225976252688,
      0.554363680209411,
      0.485391414682914,
      0.358063790599746,
      0.143515617784726,
      0.153503299221684,
      0.362070876842547,
      0.331103036698426,
      0.179875581716495,
      0.48974337766692,
      0.296554326088415,
      0.360404880155698,
      0.406534314654992,
      0.308304938537307,
      0.336060773791923,
      0.428442708626145,
      0.316286340771842,
      0.289966708735505,
      0.289090138631127,
      0.048028935469026,
      0.544629534843837,
      0.148175645874556,
      0.470078925427451,
      0.476920346713279,
      0.480827788359025,
      0.149428090890223,
      0.279151448177146,
      0.216848903888545,
      0.458199007269821,
      0.154085017313359,
      0.26022222614196,
      0.289935935799723,
      0.274899323739911,
      0.227221129138523,
      0.143792338509615,
      0.334059588407102,
      0.269075176526628,
      0.307041741017051,
      0.211736622894064,
      0.542682890851107,
      0.222388513290722,
      0.480607159764267,
      0.291390299206441,
      0.314812697436148,
      0.389230434131544,
      0.490539833618856,
      0.445846604838408,
      0.408820479067283,
      0.110527006761635,
      0.243591847951739,
      0.438884269299247,
      0.345098856645065,
      0.251511812659767,
      0.426787183718895,
      0.295466237508334,
      0.195920929171106,
      0.179656318617677,
      0.312045764458222,
      0.52100197734194,
      0.27694963327041,
      0.408176790841256,
      0.374840439766413,
      0.293738339246899,
      0.278076522108221,
      0.150210560278435,
      0.347697857736045,
      0.208260717169313,
      0.206839818965456,
      0.1977992869641,
      0.502219935767117,
      0.159082115269702,
      0.413964500649071,
      0.453083158020221,
      0.478192736092367,
      0.220524711787421,
      0.25632444160724,
      0.21108291337469,
      0.471163617267387,
      0.0624531226298179,
      0.329723163958569,
      0.408270762232332,
      0.19740505784775,
      0.219392362653306,
      0.24706080592831,
      0.438081523883698,
      0.23186708578782,
      0.310337704796384,
      0.339758538155397,
      0.542343840071964,
      0.19377315034027,
      0.499859269348354,
      0.284749829815071,
      0.415150914518586,
      0.196922253491342,
      0.233160843229721,
      0.306138221591964,
      0.456851602716172,
      0.234718427628389,
      0.158572190430509,
      0.37183288552893,
      0,
      0.0358875484407691,
      0.364156633935786,
      0.18875685670774,
      0.282869423937357,
      0.248470644184445,
      0.290484954757772,
      0.545166397811646,
      0.0628855817862767,
      0.468050236877968,
      0.458158332324384,
      0.420170069410997,
      0.346284734357795,
      0.0267270694350088,
      0.120293267907778,
      0.367058076332667,
      0.280669238841741,
      0.329822341524785,
      0.378247361646977,
      0.377122575469808,
      0.266847115924765,
      0.356683566840699,
      0.385710314604066,
      0.179400677734378,
      0,
      0,
      0.538216661461902,
      0.204190064383094,
      0.425477507244437,
      0.264244034878725,
      0.130987293095849,
      0.0173336474356928,
      0.211312554402501,
      0.219778356256795,
      0.194046093815617,
      0.172415613306031,
      0.414070371759946,
      0.502365056711391,
      0.292686152429259,
      0.390628590902379,
      0.12788740466208,
      0.253825772829949,
      0.320099560358443,
      0.220890765097671,
      0.417443301104656,
      0.467917356712947,
      0.303139415701621,
      0.297892098224388,
      0.308191582287898,
      0.183841877435308,
      0.125661265051066,
      0.23541387273705,
      0.168919798491829,
      0.269785904565843,
      0.323328233645664,
      0.130114454643704,
      0.520403876589628,
      0.251968521761391,
      0.485610275188883,
      0.499198154113446,
      0.482700174870355,
      0.333439369649627,
      0.161152463104817,
      0.295411133986315,
      0.436450958215064,
      0.157903327431984,
      0.293109059374707,
      0.399245514154884,
      0.353610843924555,
      0.278882830344679,
      0.371531015797166,
      0.374993057890601,
      0.188218293625685,
      0.195507957509446,
      0.367723889044625,
      0.540668052877359,
      0.489632309812491,
      0.472300986466247,
      0.143204153839466,
      0.215900120311898,
      0.325623637886423,
      0.283548626284834,
      0.399953857919333,
      0.389640730865415,
      0.292835653643366,
      0.395453612828594,
      0.460117452784299,
      0.351783142143517,
      0.268610989920476,
      0.434737763042406,
      0.411626556545525,
      0.279575360392675,
      0.290894452867303,
      0.0593301988004497,
      0.503608751763042,
      0.105170781268719,
      0.412328603362632,
      0.389365309188072,
      0.441685952501398,
      0.201269806529301,
      0.236841489521577,
      0.227490482549411,
      0.315089722551766,
      0.199614224121238,
      0.231959068023589,
      0.469386300434512,
      0.415815767359551,
      0.428400311672239,
      0.452691613734344,
      0.50364975235301,
      0.297144909171557,
      0.342231411150073,
      0.104853727377318,
      0.512202768211213,
      0.278968511562296,
      0.334358761919475,
      0.310207956039268,
      0.232054551868593,
      0.399936696569792,
      0.442339289812978,
      0.436668991350621,
      0.400575051203815,
      0.277668933165853,
      0.246249182402731,
      0.560743039323794,
      0.338260401073128,
      0.470868412975515,
      0.319313211038387,
      0.349554554320091,
      0.199676418889391,
      0.201804265652813,
      0.31132207482349,
      0.441693898965426,
      0.331101110453349,
      0.226032532471474,
      0.39552790993564,
      0.348479451772003,
      0.252387676426644,
      0.409938227206368,
      0.230039079887052,
      0.313116677841822,
      0.223347665481082,
      0.314240487719873,
      0.52085315734386,
      0.403010404572704,
      0.255273046897978,
      0.205145833865411,
      0.328306913204275,
      0.249539473555333,
      0.207964630493261,
      0.245861290965279,
      0.353758015516134,
      0.115737934739848,
      0.137152670988783,
      0.508673513252892,
      0.146215849655329,
      0.184545553415782,
      0.278728215672435,
      0.369494493323044,
      0.185947608835461,
      0.351417490105875,
      0.324894855940273,
      0.512989094833469,
      0.210222872907138,
      0.391777260977897,
      0.386031817750531,
      0.365508493763784,
      0.254134446051473,
      0.22463461893054,
      0.318330276115212,
      0.176034400775309,
      0.161576237072378,
      0.189745414275602,
      0.506113845848613,
      0,
      0.0871357720143516,
      0.362948452229459,
      0.128685622842315,
      0.149358409811952,
      0.247231423573578,
      0.230489933775003,
      0.476765487823268,
      0.313691202131886,
      0.30613558460414,
      0.318548593838019,
      0.156773920120627,
      0.265218499451349,
      0.347305075637715,
      0.330950184385701,
      0.0521620641087503,
      0.17324262571176,
      0.0209947236352399,
      0.509599151027646,
      0.260308804273919,
      0.473442039517594,
      0.486179520653662,
      0.467208414565943,
      0.328478416888121,
      0.201568080245814,
      0.046256246614277,
      0.511087190268014,
      0.211782048600024,
      0.143955505851214,
      0.274430283633639,
      0.282256167022971,
      0.267580296618084,
      0.323886401954732,
      0.215390393711778,
      0.0483323557674925,
      0.108380476063098,
      0.231218056873053,
      0.547194391608585,
      0.055607927859045,
      0.487146426249636,
      0.253351981262918,
      0.183698513910099,
      0.212711128293375,
      0.0069793709101434,
      0.219386245812004,
      0.363904427613433,
      0.327944648199519,
      0.17885541630602,
      0.467543879533439,
      0.11025869149187,
      0.245517280345539,
      0.22112453760415,
      0.363539618125806,
      0.169351377967982,
      0.207592491844277,
      0.0757949177597133,
      0.508052947495318,
      0.226219719462292,
      0.1638533938387,
      0.146104080396099,
      0.113347712001999,
      0.297756904954601,
      0.172560803141853,
      0.135563860640184,
      0.122611238763141,
      0.0970408196311096,
      0,
      0.172945055538481,
      0.0838094249629436,
      0.291827772357316,
      0.270638144901481,
      0.0905108783370905,
      0.279673726550947,
      0.227692308060362,
      0.259268242716126,
      0.324627473127381,
      0.411354876439732,
      0.304141377168196,
      0.343143332236325,
      0.283844970031829,
      0.246850170805782,
      0.236682573027783,
      0.380268087578273,
      0.231453692033368,
      0.345841974536581,
      0.195444664891858,
      0.19500876372878,
      0.437622563732116,
      0.297695143433432,
      0.263343924588667,
      0.283193366178875,
      0.310381011858793,
      0.236915737859443,
      0.251557906285534,
      0.258579314887121,
      0.381996673642392,
      0.383160724507672,
      0.366690611066274,
      0.399636141950261,
      0.289824440546034,
      0.11657217588649,
      0.284188968064282,
      0.123043972737738,
      0.369540020541357,
      0.25493189084357,
      0.458506402511586,
      0.35458154671621,
      0.298053871496275,
      0.194388668298576,
      0.283311253676611,
      0.365038559685058,
      0.321933792215571,
      0.298926183864815,
      0.277660898813472,
      0.177930448190826,
      0.271741276318782,
      0.175098530072842,
      0.335925820701119,
      0.448561360396058,
      0.162991279582871,
      0.216285267258304,
      0.35657321643058,
      0.319849945980634,
      0.221239507793801,
      0.23689600114069,
      0.122172698753543,
      0.233047906409587,
      0.282923750251432,
      0.182193599136425,
      0.59630992916212,
      0.251712610501302,
      0.293620040948185,
      0.348033134457897,
      0.200955971190445,
      0.293355680327822,
      0.291340535306456,
      0.240178079830374,
      0.383903751971768,
      0.320557053892196,
      0.331404432274256,
      0.449710611135107,
      0.265392822713723,
      0.288236781720362,
      0.348185453452983,
      0.246039542870197,
      0.305526099280448,
      0.306468896670283,
      0.292514061081589,
      0.589541234978746,
      0.320454607802198,
      0.254733938427481,
      0.210183091293237,
      0,
      0,
      0.405384913982236,
      0.23754151569433,
      0.192673545800666,
      0.375784765682738,
      0.259243933155769,
      0.553322642752338,
      0.193646214341137,
      0.362779829106747,
      0.356404991743884,
      0.368179323440312,
      0.161081354627555,
      0.187845126068178,
      0.272359058586043,
      0.541486099545188,
      0.442403559982883,
      0.225732303910998,
      0.282571682333047,
      0.430306683051846,
      0.352036818103468,
      0.419515616296695,
      0.25476294055153,
      0.453581146803453,
      0.0143113413978077,
      0,
      0.621401107817726,
      0.176961161246174,
      0.358149625914666,
      0.0815551740536579,
      0.163234961085707,
      0.182843946457324,
      0.215894491976122,
      0.262038042155097,
      0.500837959507074,
      0.0332541154888668,
      0.578978238973928,
      0.37815484113056,
      0.378475087283735,
      0.363014802237481,
      0.0908451088173494,
      0.291806493143591,
      0.413924867072886,
      0.273195766882372,
      0.401341379314536,
      0.622002334930543,
      0.29437597728559,
      0.366603127868464,
      0.472343347834246,
      0.276912724996692,
      0.191813147837484,
      0.0468217528341461,
      0.313534935939213,
      0.362582861267027,
      0.243002153633993,
      0.411104727899528,
      0.42714405874564,
      0.427312534058757,
      0.337787767745117,
      0.420461955914197,
      0.292142917365021,
      0.408828231240045,
      0.337677748521311,
      0.417707524220809,
      0.596150535785374,
      0.318385475904695,
      0.290242203455844,
      0.18275994835778,
      0.252477275759388,
      0.351123165857656,
      0.480478587307376,
      0.432831087276112,
      0.274386039545051,
      0.256349649235809,
      0.273537629292841,
      0.523140392554928,
      0.405597908852644,
      0.393040121889441,
      0.25722024698895,
      0.164569970794833,
      0.388550027804067,
      0.380019523585599,
      0.35745687523493,
      0.521021355408763,
      0.316919458958457,
      0.338868245761387,
      0.42525021497765,
      0.289791094771374,
      0.325588525929074,
      0.42349669510646,
      0.272232485927899,
      0.380530081874829,
      0.352022255780403,
      0.108736187202477,
      0.611170196350339,
      0.169328043685355,
      0.358854968310638,
      0.385046935773749,
      0.42068859026001,
      0.16921137197158,
      0.358937495907468,
      0.328359180184878,
      0.468571244903706,
      0.0935737168728894,
      0.423164260555965,
      0.235569205554082,
      0.273514801918862,
      0.242994864517587,
      0.194063455749823,
      0.443831188216485,
      0.362674258049189,
      0.343737601307703,
      0.272363145442423,
      0.616392403030087,
      0.239913434377854,
      0.362299044959524,
      0.276958798232197,
      0.305395638999244,
      0.395243894135006,
      0.314877626494007,
      0.376787826775653,
      0.394681258080729,
      0.150537995865811,
      0.24799805911194,
      0.402764247070383,
      0.45274018163679,
      0.279671032459432,
      0.415288107972611,
      0.329937495376146,
      0.187107773001231,
      0.147643428960182,
      0.372048308927026,
      0.600398295348155,
      0.340917115904109,
      0.31301425380152,
      0.314933226256691,
      0.192573851352729,
      0.278313734911926,
      0.253027222932108,
      0.332161704489869,
      0.242951931768358,
      0.138152962413322,
      0.203935608820872,
      0.51277407028993,
      0.264520628717732,
      0.326312978510593,
      0.354042043334878,
      0.365801643313226,
      0.21107686453508,
      0.285249170975854,
      0.177371620616652,
      0.534639413302386,
      0.26724353646848,
      0.234588894495582,
      0.296597894827957,
      0.330898024835579,
      0.322451536525034,
      0.274456296936548,
      0.283941514661082,
      0.338762844126587,
      0.172472204027803,
      0.328206662127699,
      0.569770785370706,
      0.24598131108084,
      0.375693667050521,
      0.302053820179353,
      0.328798076298308,
      0.26815385556619,
      0.195558196685768,
      0.288958617294514,
      0.46569797246812,
      0.347582304934395,
      0.329954577085793,
      0.330994034695819,
      0,
      0,
      0.395096889633985,
      0.225827829996692,
      0.362246438029234,
      0.355242232948345,
      0.487799504977642,
      0.623501436163158,
      0.257495474995263,
      0.351051942485686,
      0.333214943542765,
      0.289861872117898,
      0.550639216142047,
      0.185877230087076,
      0.0743770071180188,
      0.382849601481939,
      0.354914647807164,
      0.282442410562408,
      0.367109563994933,
      0.343638960192587,
      0.379178643838207,
      0.407209355757401,
      0.428040019783641,
      0.36641146282327,
      0,
      0,
      0.579492114360202,
      0.195461706631342,
      0.483566562279787,
      0.239579184464217,
      0.222336974525585,
      0.0425472787503805,
      0.507065698044849,
      0.432182896518014,
      0.434834428164357,
      0.189657967375124,
      0.348079088770958,
      0.540620140617768,
      0.407484186221438,
      0.298524013741668,
      0.116558433464496,
      0.433100672104986,
      0.415238944063086,
      0.249222825366226,
      0.474654443418369,
      0.542525860152464,
      0.329138629667878,
      0.18837021918438,
      0.422681650352983,
      0.500878041071021,
      0.236256838078015,
      0.186491263413687,
      0.0611299708338418,
      0.38013000416095,
      0.343178553794746,
      0.356084588547551,
      0.572309118871936,
      0.430378005492628,
      0.419787744005607,
      0.45869406279593,
      0.353091960491229,
      0.445014324842663,
      0.244341590213224,
      0.308200993278755,
      0.472506794339921,
      0.400110233904633,
      0.404977632757604,
      0.376553508491275,
      0.336585227589138,
      0.344139823087968,
      0.488567830664806,
      0.450924748270298,
      0.249800561376861,
      0.215815547063773,
      0.371157825725733,
      0.603677797046395,
      0.399477656359758,
      0.382406996075373,
      0.180141050332144,
      0.205553696653342,
      0.382698734702742,
      0.421443446332741,
      0.36324078562465,
      0.389976266939869,
      0.297855768940227,
      0.3523176515882,
      0.456435490827649,
      0.35222704958557,
      0.388642263292634,
      0.474096258250184,
      0.34875892087578,
      0.362737137150344,
      0.34613019267451,
      0.0929193746477873,
      0.592315676487539,
      0.170792550659668,
      0.294740336551338,
      0.339835707707911,
      0.348334584297172,
      0.240148719600885,
      0.231021670693301,
      0.370704112612137,
      0.279743257888657,
      0.157342862502449,
      0.310513328579074,
      0.488351463605895,
      0.393508958412715,
      0.40140560571845,
      0.358192603556744,
      0.486780362876509,
      0.391130382164097,
      0.272574438581315,
      0.183369524516239,
      0.523372467030532,
      0.307499027768943,
      0.26347818840975,
      0.321074932184039,
      0.286453511134616,
      0.402652482826614,
      0.352670744508596,
      0.36165268603547,
      0.384261982750183,
      0.268051824039682,
      0.261433288839937,
      0.588432992514684,
      0.512338380809541,
      0.374484633379949,
      0.333697045924483,
      0.364251642079126,
      0.178754468376932,
      0.20547135120716,
      0.37994849475136,
      0.522332904865752,
      0.348017819711102,
      0.284951517795141,
      0.357656549205846,
      0.230782442059113,
      0.310469460680491,
      0.275034237698827,
      0.238492113391887,
      0.297309011601866,
      0.287837514461032,
      0.311682457299548,
      0.595544815588179,
      0.315156432242392,
      0.293875745634031,
      0.292826126896711,
      0.289445029702925,
      0.296435509764061,
      0.299344954455489,
      0.263846461326598,
      0.368750284814073,
      0.212435036225863,
      0.191420377685289,
      0.488666468334568,
      0.332042617084538,
      0.282746957693787,
      0.27539235634575,
      0.343497542052986,
      0.318615844341225,
      0.229821039928638,
      0.337090658987934,
      0.575082946236583,
      0.272114618551024,
      0.350186604869721,
      0.311714734854952,
      0.285451629260849,
      0.255725422586,
      0.189562567436001,
      0.322302829008317,
      0.339800285220673,
      0.400259244000274,
      0.320689691213993,
      0.529153758483896,
      0,
      0.01548554136573,
      0.383606553384597,
      0.251486029001467,
      0.197294004168699,
      0.282932011691334,
      0.201477891329479,
      0.547421732357519,
      0.354840885896502,
      0.207817360372575,
      0.264172556289592,
      0.218309035805528,
      0.240055723018773,
      0.348988694564308,
      0.264088986937463,
      0.0338114464270813,
      0.124719219996378,
      0.218873166330408,
      0.574460625980817,
      0.154178193352806,
      0.360865715266337,
      0.354261611411696,
      0.330085484109745,
      0.291856227922802,
      0.234923400776607,
      0.0712581396139567,
      0.458488224329794,
      0.221078408021954,
      0.125094077441118,
      0.274958180488942,
      0.161739949715906,
      0.268906880204715,
      0.247413224175676,
      0.163450075676581,
      0.0713092667671021,
      0.138200075649635,
      0.2034521124071,
      0.603606963391394,
      0.0104800799024269,
      0.362064455103644,
      0.223398588468636,
      0.18452907202305,
      0.293829446012271,
      0.0698648596156801,
      0.195264325051536,
      0.374568921593453,
      0.337051833304787,
      0.325186419460891,
      0.454231619859817,
      0.121219778760904,
      0.251269451142959,
      0.260649028401672,
      0.217344759898828,
      0.124792280410332,
      0.0918063430447688,
      0.00567592026645479,
      0.589533729169414,
      0.135975668909914,
      0.0712072605772471,
      0.17834899031858,
      0.00299508597314729,
      0.26148972673396,
      0.285479580308415,
      0.275452609649573,
      0.150957235600521,
      0.115205833949879,
      0,
      0.213516030369844,
      0.0279550941327637,
      0.251945023157947,
      0.252244341772981,
      0.0160195119423101,
      0.299242032696068,
      0.226600007233402,
      0.303093405567148,
      0.372181648034495,
      0.274055188658564,
      0.286879193071921,
      0.348938498389412,
      0.367560717843164,
      0.378077399067384,
      0.217556315474666,
      0.402852855600661,
      0.264908736473238,
      0.290554279005719,
      0.159736099662795,
      0.260777856587243,
      0.454934968877467,
      0.403962022844285,
      0.316424837816302,
      0.22981782974547,
      0.282806874221542,
      0.23892495805223,
      0.259046779449104,
      0.198408387784882,
      0.352042502911773,
      0.371080428376225,
      0.392471189374582,
      0.303620885501487,
      0.262538499064666,
      0.222270252047647,
      0.180870533345958,
      0.206186560148717,
      0.434671733825196,
      0.167776227150581,
      0.445635817947826,
      0.366309415172046,
      0.301226365629853,
      0.180240346938113,
      0.300532492495541,
      0.383889098009996,
      0.3307370660463,
      0.24566256315423,
      0.223319429609223,
      0.269458258800914,
      0.248722159048788,
      0.204033008995479,
      0.242217272319602,
      0.462928278352069,
      0.203135241855011,
      0.131648087281993,
      0.458005935363748,
      0.364698648305752,
      0.165096303448345,
      0.223139226099785,
      0.230270110911797,
      0.18073331877658,
      0.365465900034383,
      0.18525209516905,
      0.589828311170552,
      0.286401635379904,
      0.269627155486288,
      0.42054431702253,
      0.247315356134223,
      0.304589138209551,
      0.392115660430313,
      0.268224020294611,
      0.459509286426054,
      0.305555127808404,
      0.388348804049584,
      0.486740079310442,
      0.34432051466711,
      0.380964881489762,
      0.383012425312025,
      0.196314353641024,
      0.325916880179202,
      0.335951632523238,
      0.383558819471395,
      0.57329422890651,
      0.409485530420455,
      0.298766980612445,
      0.251979550328126,
      0,
      0,
      0.386253358953846,
      0.218441140556039,
      0.314952537895846,
      0.307084853142193,
      0.371945584246397,
      0.548660613552015,
      0.220932719355102,
      0.388735784140626,
      0.323220751911091,
      0.338258320999328,
      0.194283830227582,
      0.255447370321227,
      0.224441745912642,
      0.528984082756464,
      0.51359734108834,
      0.237146346558133,
      0.297123720741415,
      0.408859230556492,
      0.412567458937476,
      0.428441920951205,
      0.274881628639183,
      0.445307543094245,
      0.0504622301419387,
      0,
      0.589826512069476,
      0.227304443014884,
      0.299937127773143,
      0.0890717173351151,
      0.234000831095236,
      0.157994510322394,
      0.207572039348498,
      0.245985946744647,
      0.543438672037352,
      0.0534448003234095,
      0.623113005583088,
      0.446748499473941,
      0.40699660423264,
      0.360495721140089,
      0.157325079448616,
      0.218165826707142,
      0.431629222673326,
      0.352828532761451,
      0.48304649624643,
      0.610351692260226,
      0.339343080459904,
      0.363092996401065,
      0.455335756485129,
      0.295952836678121,
      0.159063236746243,
      0.111494338621951,
      0.331797674176596,
      0.375277826207555,
      0.21123460338358,
      0.39160670979995,
      0.456587539563797,
      0.502705084486831,
      0.386870423094541,
      0.437921168757754,
      0.282871750193685,
      0.393849856741423,
      0.385703073050455,
      0.490411985464222,
      0.570193462596281,
      0.367545233142343,
      0.298161219864537,
      0.180219244471585,
      0.247635060757028,
      0.357706301070604,
      0.463701092490364,
      0.39915967919159,
      0.244921820310298,
      0.217219077193301,
      0.311466830305127,
      0.500261571019462,
      0.439827499150353,
      0.417996421513544,
      0.323721414191105,
      0.225486675491478,
      0.372388536819968,
      0.395663440292576,
      0.407903546094579,
      0.539682205111045,
      0.29164315524248,
      0.231524598707205,
      0.402157748791592,
      0.153695513861102,
      0.344179273265856,
      0.413154556887651,
      0.373337037539493,
      0.423056925252459,
      0.405604646914012,
      0.12363266041646,
      0.593676334056003,
      0.198446236073266,
      0.302091265532176,
      0.373226129573436,
      0.347961389304142,
      0.154378817821867,
      0.391107702644509,
      0.424980203832766,
      0.505624757109374,
      0.127039010029135,
      0.419321933485772,
      0.312787232991139,
      0.306880554955025,
      0.298631656928512,
      0.323501884063483,
      0.504003890588814,
      0.433511890645916,
      0.308477259581473,
      0.252344530213323,
      0.585856803601285,
      0.245816232890877,
      0.334163697293923,
      0.253296825155196,
      0.279776721972871,
      0.369924636588074,
      0.317379545508432,
      0.328198967372448,
      0.403819447940164,
      0.255636419120609,
      0.224561718967272,
      0.368029672576481,
      0.378708423512132,
      0.264581308864486,
      0.410635694476972,
      0.37615621216969,
      0.122532456752957,
      0.173954538011023,
      0.381770823867673,
      0.578730387459624,
      0.39947653864408,
      0.299368603771111,
      0.29049206731902,
      0.27200206707631,
      0.282559029713,
      0.239612803304034,
      0.294937160417505,
      0.234005482637313,
      0.191624469964063,
      0.149036118396255,
      0.527199823604847,
      0.375160607449302,
      0.287477416674303,
      0.322592310556923,
      0.3329831837997,
      0.238791372620436,
      0.36063301150237,
      0.209306882836876,
      0.526489743367225,
      0.273160221522938,
      0.249034241599064,
      0.389375837431033,
      0.358873993827719,
      0.315773900531414,
      0.431062505890096,
      0.357042478761555,
      0.386548607905043,
      0.305083808861759,
      0.306253839351504,
      0.557434822381794,
      0.323847454378597,
      0.370124583937492,
      0.408916812201344,
      0.252135107580838,
      0.301941739761035,
      0.247029590622812,
      0.286344910385646,
      0.478050268392327,
      0.363442289216817,
      0.362913798655981,
      0.329424401070322,
      0,
      0.013409345989574,
      0.393227580848951,
      0.217694500972521,
      0.260849830713518,
      0.287656162113597,
      0.485358275349201,
      0.616131723960357,
      0.310201976242636,
      0.321190372713196,
      0.322953540531993,
      0.303275349912391,
      0.615632504491314,
      0.26382906597121,
      0.115023473146681,
      0.404299655308198,
      0.381140539719743,
      0.38085919062725,
      0.389142503158015,
      0.385116170032471,
      0.385634435194197,
      0.492037268863591,
      0.420812770344676,
      0.378795393124874,
      0,
      0,
      0.557223012248308,
      0.183758410965702,
      0.556929236925141,
      0.209073873157584,
      0.281634238832099,
      0.0860381471920229,
      0.485819762839582,
      0.491656691894633,
      0.479144681696179,
      0.203846463767843,
      0.403115813054243,
      0.501928087774586,
      0.449378840744786,
      0.248058283390931,
      0.195340693532393,
      0.491812284547516,
      0.448119795531237,
      0.230558147401198,
      0.506439255330748,
      0.527461636562247,
      0.385280816226796,
      0.221557394869515,
      0.416408682777115,
      0.491731629109212,
      0.288780756036704,
      0.145744952631072,
      0.0989681201602195,
      0.362629157922907,
      0.356426921862359,
      0.347816564943344,
      0.563751538697873,
      0.500556686111501,
      0.457658834793654,
      0.409283600185078,
      0.340621065567339,
      0.454868025050542,
      0.307905966662047,
      0.313560319878741,
      0.505062196297543,
      0.439936710143257,
      0.481888001479989,
      0.416895127231442,
      0.298570960339506,
      0.346345863902743,
      0.4732031344195,
      0.421028626307165,
      0.192149653605544,
      0.216318929984763,
      0.406753699982122,
      0.599665719584643,
      0.446820115129494,
      0.447562853438751,
      0.257003957412483,
      0.224564458106321,
      0.368602378681744,
      0.410182796608492,
      0.407223103787821,
      0.395716288158473,
      0.218617554374733,
      0.171774626863945,
      0.477915184662373,
      0.182820137984011,
      0.444317725787638,
      0.454843098762938,
      0.339370319086019,
      0.411653716213971,
      0.399290905251045,
      0.127553608863758,
      0.57628102207773,
      0.178847675604607,
      0.293869800807893,
      0.360863120436455,
      0.321038343627309,
      0.190549149694731,
      0.384570572705635,
      0.466522725102891,
      0.406888870575201,
      0.203263415651532,
      0.324181426258634,
      0.480658994126711,
      0.39498972951505,
      0.375816065759009,
      0.3762141178732,
      0.443121129356577,
      0.408776358380998,
      0.22968307794661,
      0.197793847553721,
      0.522200556917251,
      0.306620236648799,
      0.248856586688305,
      0.290726958473565,
      0.282674693949043,
      0.377179973422969,
      0.303270767854048,
      0.295681386789419,
      0.353270817557155,
      0.397357365401325,
      0.254304979888164,
      0.571593540042506,
      0.457899196909607,
      0.344982076541613,
      0.308492346520577,
      0.307488456109935,
      0.18496990463255,
      0.244250326363968,
      0.417551658631168,
      0.529093045058294,
      0.401754816306942,
      0.258267163297443,
      0.365508635003108,
      0.400833284061296,
      0.400859039725336,
      0.308296589543994,
      0.244443455536279,
      0.210337302332414,
      0.341683715726017,
      0.385907242216123,
      0.564309768018639,
      0.325643290705247,
      0.317600676085782,
      0.356897047300283,
      0.237017853370566,
      0.356878283400555,
      0.348142908703077,
      0.30433752556436,
      0.39608888893446,
      0.2581369061638,
      0.14671578950731,
      0.50248364454387,
      0.409393866352445,
      0.302269162645528,
      0.402489289764769,
      0.384375501744828,
      0.361341054967141,
      0.381779282855663,
      0.323990854150674,
      0.556306526130638,
      0.355577439308818,
      0.341076103636657,
      0.387769744285554,
      0.245406987585381,
      0.263231823146548,
      0.256761243574742,
      0.292469929515777,
      0.406746745951689,
      0.401401955271805,
      0.336213074300573,
      0.537260198577733,
      0,
      0,
      0.395151863802273,
      0.238697553338275,
      0.293182081408424,
      0.252329396983815,
      0.21738279221959,
      0.530050110477779,
      0.398686144854722,
      0.217218889771995,
      0.289129912162502,
      0.244651079913207,
      0.181740376582226,
      0.3333465219772,
      0.228734393969232,
      0.0514264898591304,
      0.0933588102294628,
      0.237390084785255,
      0.547491503768632,
      0.125174600711981,
      0.333828086983635,
      0.33033745332517,
      0.31675963732935,
      0.272852247473823,
      0.104877272005179,
      0.112127319225703,
      0.464468703984819,
      0.150312371493854,
      0.218688891659331,
      0.331842283640766,
      0.29013704300467,
      0.213344356946899,
      0.194598408879983,
      0.266200207884299,
      0.177717964381358,
      0.307056836289757,
      0.286954124387553,
      0.582998994977886,
      0.165995505698439,
      0.36826779110409,
      0.218150246124222,
      0.153349194454677,
      0.260292833553787,
      0.111223927200982,
      0.170841431961462,
      0.390638656493482,
      0.359617591782141,
      0.298854971605712,
      0.477797936245705,
      0.182200859769082,
      0.222129567458356,
      0.239940742785241,
      0.254104613715777,
      0.139024400086819,
      0.0448248500133677,
      0,
      0.556067252331665,
      0.202848611898268,
      0.0830944689688322,
      0.154311360908958,
      0.0204675850821108,
      0.199706936509608,
      0.25470957728861,
      0.239504747963357,
      0.164270315749204,
      0.0701549514000878,
      0,
      0.210853680764376,
      0.0340505714950294,
      0.173696530830654,
      0.199930310051585,
      0,
      0.173363975096635,
      0.232052289969986,
      0.304655471755733,
      0.326441034867434,
      0.227601518689567,
      0.281586470641788,
      0.316656916990143,
      0.27436393269656,
      0.341635074471589,
      0.199324337163434,
      0.395057304492761,
      0.173602596088109,
      0.340792073673767,
      0.116710156704053,
      0.218968472899335,
      0.321145885134135,
      0.362342590498287,
      0.211978992005209,
      0.107181873448872,
      0.180622534856195,
      0.15508003085401,
      0.279663768943699,
      0.157198706776435,
      0.3368634771139,
      0.327010714428725,
      0.314578165237109,
      0.264379329879515,
      0.233087155935787,
      0.103910273491051,
      0.256670325480599,
      0.103848254086946,
      0.377704044070204,
      0.0614838885191445,
      0.314442288689469,
      0.33757362432353,
      0.256816610800105,
      0.0475747170774169,
      0.26946205861785,
      0.216304179361412,
      0.308830179223416,
      0.121351202080352,
      0.0374026956540861,
      0.274812758129525,
      0.239719645443194,
      0.213620298243254,
      0.279618836941749,
      0.44144880516858,
      0.26660492711574,
      0.157673188297952,
      0.452367376141411,
      0.234293865633711,
      0.135951232517745,
      0.131102614142309,
      0.217145438529035,
      0.133361912502295,
      0.252346916768479,
      0.197769020329058,
      0.555032336346745,
      0.176598196659623,
      0.217863708311541,
      0.352710356043726,
      0.158971937268475,
      0.15752764982557,
      0.408340562404359,
      0.388433048810692,
      0.3921447547294,
      0.27190442053777,
      0.304040258559908,
      0.446860237300798,
      0.309898331473797,
      0.409590257398298,
      0.337890957042887,
      0.226174293636669,
      0.188963119653381,
      0.327455105799614,
      0.289982003338708,
      0.555148860133206,
      0.261188711212189,
      0.161615288617025,
      0.133779131829457,
      0,
      0,
      0.316574171079071,
      0.114317402947975,
      0.338764073028031,
      0.192670141057955,
      0.195320164956522,
      0.486714215550732,
      0.209009568906701,
      0.365997186267488,
      0.382992138549335,
      0.414209918487147,
      0.131857471920713,
      0.112983245426509,
      0.230648046936302,
      0.484576828278535,
      0.417240086304171,
      0.263458888817715,
      0.216589284492452,
      0.298965169836524,
      0.383448987501247,
      0.420453296499651,
      0.24240602940816,
      0.295418523200639,
      0,
      0.118383684378218,
      0.527676223232211,
      0.280867028408267,
      0.411416825777713,
      0.197743693340996,
      0.218290150511384,
      0.100416407827235,
      0.203285527814325,
      0.0631888319038665,
      0.459557410527909,
      0,
      0.251744343233431,
      0.36412484053678,
      0.343229627650539,
      0.282269023099356,
      0,
      0.129156485605127,
      0.303922334429249,
      0.382438411332648,
      0.401082165315187,
      0.565740994017504,
      0.309907647195534,
      0.42818068051083,
      0.381550600971238,
      0.322936425967441,
      0.0259255475640811,
      0.174046111486731,
      0.322018713190562,
      0.34244187830443,
      0.168956561557183,
      0.164986985895958,
      0.401696913116873,
      0.255825782245791,
      0.324631686889473,
      0.434794894256287,
      0.36220033045469,
      0.362393100454965,
      0.294324577642106,
      0.311843684446702,
      0.512522538652994,
      0.156672610703827,
      0.350638056625176,
      0.115362864591361,
      0.165361160521238,
      0.279290768113774,
      0.22435125416706,
      0.275910333251545,
      0.247388918813975,
      0.242421674096608,
      0.484924703725717,
      0.421309031218947,
      0.351832730420174,
      0.321225709861808,
      0.190700332125063,
      0.0569658210575243,
      0.340572199002017,
      0.210409481344597,
      0.272038360747994,
      0.528518632384525,
      0.308749861861661,
      0.254457498465372,
      0.339053861522362,
      0.12917596044635,
      0.292912186484848,
      0.427370721132791,
      0.384070810391572,
      0.227706691803805,
      0.218099869036114,
      0.040592078577382,
      0.53866261887885,
      0.223514260353267,
      0.406878069378966,
      0.424479437490739,
      0.408724642485559,
      0.0898784879243304,
      0.368392951691806,
      0.389928125685958,
      0.478006765767259,
      0.0862822089289462,
      0.268253127445066,
      0.25820064916291,
      0.28922699868518,
      0.203962661039314,
      0.302251330837981,
      0.437787410768529,
      0.337619032880981,
      0.228298052416554,
      0.176403650695962,
      0.538420079809698,
      0.200792756282143,
      0.408505114166785,
      0.21434567884222,
      0.268125918466289,
      0.303417314499258,
      0.325997795242299,
      0.27269947802236,
      0.381182268578238,
      0.198116894085116,
      0.179197261200557,
      0.324298674214007,
      0.331946521593114,
      0.165237323408896,
      0.332586989559477,
      0.26984678378887,
      0.155394668742117,
      0.230335128581091,
      0.229802891986449,
      0.526095933921447,
      0.377693851715792,
      0.343309364997664,
      0.310946743072427,
      0.295511528452577,
      0.232514921147927,
      0.260429306770527,
      0.241588505329983,
      0.219681065334605,
      0.199744078590924,
      0.18812350758095,
      0.488229333620276,
      0.319862240003369,
      0.344946597638815,
      0.39190594813841,
      0.405377141037698,
      0.206572206257621,
      0.30132714550001,
      0.129474829212578,
      0.482437316085721,
      0.158295302555234,
      0.260920665304433,
      0.388407088619849,
      0.270977483344513,
      0.167723042120961,
      0.385375101875044,
      0.419299983481214,
      0.282968654049612,
      0.367295721753529,
      0.251318230116177,
      0.505361792767466,
      0.318302804780183,
      0.420967138816535,
      0.370130999492148,
      0.274232916127752,
      0.189045401236717,
      0.330677507014766,
      0.268185771656823,
      0.455082295113276,
      0.241620785505192,
      0.194946361773472,
      0.277069412359056,
      0,
      0,
      0.356893657036389,
      0.156354278658454,
      0.31706668460851,
      0.206125122644661,
      0.33025171253279,
      0.554154693059504,
      0.0570718817945621,
      0.394354085382158,
      0.375137833005554,
      0.341675236261839,
      0.278823181351172,
      0.124881321345307,
      0.0703006797743234,
      0.373801592754061,
      0.322179028826492,
      0.319207812533692,
      0.391917481345605,
      0.347301352284203,
      0.23945525410452,
      0.459043737012359,
      0.381906146187864,
      0.161325547931763,
      0.0200558071060753,
      0.180356288434304,
      0.538949227169323,
      0.205973344248657,
      0.347735888461608,
      0.261414735562415,
      0.197756084953782,
      0.0105329759262599,
      0.247032216794578,
      0.423527198265557,
      0.159138411844145,
      0.172456530803711,
      0.469470237429873,
      0.447934821502705,
      0.394715018550542,
      0.341682428123835,
      0.0850996551566807,
      0.310280996225386,
      0.214532512265243,
      0.303269035129155,
      0.387915875423121,
      0.478068601269432,
      0.343365233651335,
      0.234831134020678,
      0.266874003350162,
      0.152041107839047,
      0.105900739387662,
      0.152781897584362,
      0.0910466227465369,
      0.327572738355532,
      0.247348627743612,
      0.159558920596306,
      0.49448926513312,
      0.342257251021912,
      0.414153955787516,
      0.46756100506311,
      0.407720183582278,
      0.25904446508022,
      0.165363417896714,
      0.313016829894782,
      0.457754999473135,
      0.157771548938981,
      0.286849664567161,
      0.337589584887325,
      0.284980440375182,
      0.261874453660294,
      0.266672698812132,
      0.288840248683483,
      0.181692795148029,
      0.263402105808041,
      0.411289363364835,
      0.549018277596865,
      0.331970979860441,
      0.402364826218794,
      0.180451341441466,
      0.0650965484008164,
      0.338642130862902,
      0.180609448183411,
      0.342463058252297,
      0.368548732303844,
      0.26164500478076,
      0.262297938052817,
      0.422363122289541,
      0.238357998120526,
      0.298298823606943,
      0.430728891697121,
      0.352481137003787,
      0.233070883875498,
      0.221661324981311,
      0.0332713715223441,
      0.530970926102722,
      0.209392347537742,
      0.341091780446247,
      0.372211050261903,
      0.312853906859171,
      0.152019322093166,
      0.389504072746125,
      0.400259653454669,
      0.360305505430787,
      0.153854730877292,
      0.175279354672922,
      0.452388133957127,
      0.42130498284006,
      0.35807864333478,
      0.399135573638911,
      0.420231711237481,
      0.274882578356208,
      0.271153836173035,
      0.196249414068206,
      0.50761716932639,
      0.221650140260079,
      0.277893028257709,
      0.28599971741996,
      0.236300553009499,
      0.323610698445672,
      0.336218965693748,
      0.264714894608926,
      0.358231641664717,
      0.309953410290614,
      0.131626308623526,
      0.522847747068315,
      0.315043248914296,
      0.411848569493573,
      0.225145242251763,
      0.292481993702632,
      0.251505863786145,
      0.264734128192898,
      0.321265994265265,
      0.459231408950638,
      0.345126501890617,
      0.164952570901923,
      0.405130530277657,
      0.389224816158331,
      0.38629500069216,
      0.367123205987189,
      0.207894937643769,
      0.340999048710479,
      0.216998517981983,
      0.333075837525551,
      0.51636951838981,
      0.365816237969107,
      0.217259777035512,
      0.329797012598648,
      0.301461287627212,
      0.228427372715475,
      0.281919441106031,
      0.183846820940352,
      0.35050099831227,
      0.178382924563203,
      0.149761481770157,
      0.43853793535528,
      0.319181933471463,
      0.173202520948663,
      0.360804122016171,
      0.415594026021874,
      0.242246568179915,
      0.450536270310886,
      0.301252371724282,
      0.53170437416453,
      0.310799483839856,
      0.374144384188229,
      0.387171747635677,
      0.320454998161719,
      0.192378484472723,
      0.28312269143737,
      0.249848323527084,
      0.155286603858767,
      0.158321535125832,
      0.192192916273268,
      0.499638344169696,
      0,
      0,
      0.371703397913146,
      0.0736067740387835,
      0.272392992832625,
      0.196818958049582,
      0.191669191490913,
      0.492813999390375,
      0.362417045382909,
      0.242545623232685,
      0.251578405295498,
      0.214695780314763,
      0.251115256800536,
      0.29002101882112,
      0.289532256717283,
      0.0573098432911491,
      0.094830149495319,
      0.15627959669048,
      0.481178072734779,
      0.221443863600797,
      0.416007542301093,
      0.41171391419828,
      0.394718386686482,
      0.245902020571717,
      0.206102994343807,
      0.220272740201121,
      0.448321261700456,
      0.118403690072619,
      0.160408625955873,
      0.339758228176731,
      0.376417545644029,
      0.209796528323769,
      0.193680957146958,
      0.30137903005602,
      0.238811256779768,
      0.313058480633724,
      0.220520802918566,
      0.541677249223115,
      0.172994717780446,
      0.41375486961146,
      0.191884763019891,
      0.159958611893124,
      0.151138277340147,
      0.11034054658006,
      0.118907971319445,
      0.369314386397128,
      0.286852377643087,
      0.174525495139387,
      0.442675706958874,
      0.187130378847598,
      0.155020452371475,
      0.166413478865197,
      0.305155699188021,
      0.109784082587869,
      0.0843486962067895,
      0,
      0.504647543613611,
      0.157676816580691,
      0.0532201205946136,
      0.169544231995344,
      0.0529643376173129,
      0.204432106038538,
      0.212660272720212,
      0.115377575178813,
      0.111876985273054,
      0.0696661694314936,
      0,
      0.166664700032102,
      0.0615663572528157,
      0.225777290735927,
      0.11668244893355,
      0.0532010306254059,
      0.156254467923111,
      0.215927235976774,
      0.241617824409926,
      0.203853712064406,
      0.253645238267624,
      0.253056917732025,
      0.168789646047198,
      0.153981660383333,
      0.0980414212322639,
      0.134748703513969,
      0.248103750285877,
      0.129553364040294,
      0.304439413776526,
      0.188937741817819,
      0.233598683678378,
      0.224260236666501,
      0.21422667289594,
      0.137887679195087,
      0.266257440707287,
      0.144216851731909,
      0.0883070145937464,
      0.267895956370845,
      0.186872562615138,
      0.338709415592409,
      0.28633393836088,
      0.205598655562001,
      0.30814256253151,
      0.259219565350039,
      0,
      0.267376770630188,
      0.0559526283817473,
      0.184175468360568,
      0.0823110274531879,
      0.340568712803456,
      0.187607712464402,
      0.242728814616057,
      0.13427010130163,
      0.275916363164452,
      0.221405323603807,
      0.125165017111753,
      0.103900456900815,
      0.0890740569530685,
      0.116888228788465,
      0.203926009877883,
      0.191843463263806,
      0.259294984976728,
      0.440214049463788,
      0.156279052462682,
      0.130036507435086,
      0.314968058480686,
      0.247399329099683,
      0.287083401891246,
      0.192927969810933,
      0.109761914920035,
      0.168716686655671,
      0.232574429228854,
      0.196857581162249,
      0.522187497631295,
      0.16539761709873,
      0.195564469626552,
      0.2588482610444,
      0.169151523491614,
      0.29884400009478,
      0.227884091117992,
      0.364242494886864,
      0.369743413790451,
      0.21531588262703,
      0.322490768860272,
      0.384230396508744,
      0.220669669834276,
      0.247142811704444,
      0.292356427962678,
      0.244786550121761,
      0.173190697601702,
      0.268417594160839,
      0.20377858955305,
      0.503117553994918,
      0.245946755845043,
      0.119843151536695,
      0.267807740724024,
      0,
      0.0012919175170145,
      0.315169511234129,
      0.104848658115025,
      0.194635599866525,
      0.213342416705774,
      0.0964388072296887,
      0.415499915464736,
      0.213953154426486,
      0.306539164494462,
      0.349676825340159,
      0.371589457106261,
      0.0911540459817354,
      0.137901580771649,
      0.341350807486782,
      0.471618448667731,
      0.331278051928043,
      0.274063713299385,
      0.227218423862438,
      0.333151118685202,
      0.327599093704628,
      0.380300373839425,
      0.210111404773979,
      0.365806202217325,
      0,
      0.074878841544319,
      0.439683007512149,
      0.259217699225701,
      0.370534083929609,
      0.159051914825118,
      0.152377714930138,
      0.0907992059685915,
      0.200720142794086,
      0.18191327409816,
      0.45214497077842,
      0,
      0.280418625840832,
      0.363436867717706,
      0.343768059423341,
      0.271016670545426,
      0,
      0.086232595511993,
      0.321378287857144,
      0.340505387676497,
      0.421116981627197,
      0.50363275360604,
      0.293794552160746,
      0.374077622326815,
      0.373514892592684,
      0.338213347143254,
      0,
      0.168096063509391,
      0.328678889573384,
      0.339520874874442,
      0.197082295021748,
      0.150066276633198,
      0.338535498576912,
      0.190442346239863,
      0.243477448859278,
      0.554490626534431,
      0.32080321235409,
      0.350479490369359,
      0.501694680226256,
      0.283147942512597,
      0.496013495287792,
      0.217346302572385,
      0.355922462089536,
      0.22179577551114,
      0.157224842139133,
      0.269649222091709,
      0.224993961419004,
      0.271172319351025,
      0.252952587978691,
      0.244723310577364,
      0.429170469869874,
      0.39567103288289,
      0.303871153970581,
      0.340803728294067,
      0.212506693075553,
      0.0913829667414863,
      0.303312351793264,
      0.310947215220529,
      0.213537684248601,
      0.494932533295838,
      0.256991588391811,
      0.230102820984936,
      0.35818372501922,
      0.158078238523068,
      0.267434136263936,
      0.386701896247067,
      0.272182327482143,
      0.266039647676798,
      0.250546990119439,
      0.00700268371022167,
      0.441959993733315,
      0.225830855609247,
      0.363709235107457,
      0.388178395516955,
      0.367229625527289,
      0.0884468607026711,
      0.228905845443113,
      0.195927747457011,
      0.444690861130357,
      0.0269396696113682,
      0.212439636529924,
      0.242890819673756,
      0.225143089866596,
      0.321457821356578,
      0.201705287599243,
      0.25864797528617,
      0.226970956617129,
      0.318263514332512,
      0.236740445927808,
      0.470245381814095,
      0.195066914971132,
      0.374401725685242,
      0.240668375284889,
      0.20951324355619,
      0.263400056011455,
      0.259178582535647,
      0.259250280945197,
      0.392637620879972,
      0.0605369720368074,
      0.199331905108829,
      0.345262159941469,
      0.229342286402609,
      0.146145638788743,
      0.353917670291166,
      0.202581392967327,
      0.148941823366416,
      0.175913944796053,
      0.267429124678044,
      0.509884809097167,
      0.281062025950833,
      0.338507451090107,
      0.330326892089569,
      0.280343951216289,
      0.250405098692455,
      0.193887630826339,
      0.29583943366346,
      0.22868829158958,
      0.153380584434203,
      0.161529285107262,
      0.412690213149021,
      0.207118354952535,
      0.328229171568914,
      0.359145741405433,
      0.36726593671162,
      0.19976977796658,
      0.219910139695366,
      0.0733660912891272,
      0.472076171839033,
      0.244627690668571,
      0.30221923293517,
      0.283402573083589,
      0.226864625010086,
      0.312026165038696,
      0.169777263288651,
      0.39035307162973,
      0.22717830677826,
      0.247089762168052,
      0.226591063846972,
      0.426515944548735,
      0.210587541836298,
      0.382254025576282,
      0.30749673930151,
      0.253948619651362,
      0.172104948869814,
      0.262546315487332,
      0.159324960539904,
      0.45425762341812,
      0.231608423911218,
      0.182206487228401,
      0.260175637437674,
      0,
      0.0211533636136986,
      0.333463786441183,
      0.165656210387526,
      0.450166985038683,
      0.229472634479688,
      0.280309859447812,
      0.469541570066914,
      0,
      0.35283651210708,
      0.364587889637579,
      0.346947072914624,
      0.258428415854095,
      0.131161504519869,
      0.0619039283384572,
      0.359843389191187,
      0.344679705855668,
      0.271884663891236,
      0.376514598212599,
      0.271398214815636,
      0.208924464253029,
      0.335199574496048,
      0.394058013789737,
      0.0519407322737853,
      0.0480236112864422,
      0.146069668997958,
      0.492903730273359,
      0.214304301773589,
      0.357347378559307,
      0.221864044663273,
      0.151395580108587,
      0,
      0.334723597990658,
      0.231060042686558,
      0.164930549208002,
      0.197920744108513,
      0.402304311478254,
      0.420990463502799,
      0.366863838407095,
      0.297487394399117,
      0.0902239820141668,
      0.204751375085106,
      0.195479391368045,
      0.310663795850181,
      0.325178777056402,
      0.48170231812067,
      0.278194584748668,
      0.267399330948347,
      0.30804048080947,
      0.258743772895974,
      0.0523299973233093,
      0.130729656404846,
      0.0468712300973227,
      0.295500024867035,
      0.331610353516296,
      0.208460279535267,
      0.439681663337187,
      0.313044018202386,
      0.374753307080102,
      0.536242170017746,
      0.375466856775964,
      0.279605652860024,
      0.23446010681144,
      0.2909269318992,
      0.429274652675902,
      0.208723522340239,
      0.272590727117657,
      0.30939301759391,
      0.296780496254748,
      0.226736254006,
      0.223500955855058,
      0.240080119427721,
      0.210580238111989,
      0.238947508682866,
      0.446256855777921,
      0.456517374191765,
      0.249780502787997,
      0.379513725044151,
      0.162316313529104,
      0.133856202788235,
      0.277067534737797,
      0.270023690983661,
      0.291353622783709,
      0.36229716680548,
      0.208224714235552,
      0.141485832479216,
      0.37335968481865,
      0.254415823826503,
      0.291979636598579,
      0.384332975138425,
      0.304742842128483,
      0.208265405797113,
      0.280283210805227,
      0.0352275438184751,
      0.488082473338572,
      0.193294414277093,
      0.318025060736541,
      0.332721889616705,
      0.334075862917431,
      0.137026177372173,
      0.223078246847726,
      0.247148005494636,
      0.206151468440222,
      0.0967139700545416,
      0.088636185200066,
      0.387567636155895,
      0.36520676846676,
      0.360125856748694,
      0.356036355115057,
      0.410724234590294,
      0.260803074955079,
      0.303119411423046,
      0.189968686955799,
      0.483252104932687,
      0.187709247625192,
      0.320154492762457,
      0.299451509266265,
      0.277624817435599,
      0.259759989767262,
      0.251353887120583,
      0.242551583134004,
      0.382895017602974,
      0.167983850793923,
      0.142988244328748,
      0.448437881480354,
      0.24391538161989,
      0.370606508572009,
      0.255553896322816,
      0.320363647416869,
      0.238540417233195,
      0.246644708879209,
      0.192810810557176,
      0.445558750599412,
      0.230296345294769,
      0.211672417009796,
      0.379608676521129,
      0.134850089584203,
      0.275763091550669,
      0.187578907605598,
      0.213822835788977,
      0.30435899808845,
      0.199998806064985,
      0.236320089418928,
      0.500805620702774,
      0.300076268358808,
      0.261626795986429,
      0.240661185290685,
      0.254683596930622,
      0.224573285923852,
      0.282523975325584,
      0.207690816219952,
      0.373511150071168,
      0.235131121312721,
      0.188488328119039,
      0.393862778007629,
      0.225776059653082,
      0.285154544688831,
      0.22878684610726,
      0.349910752379489,
      0.234219261353698,
      0.240636594168733,
      0.31255627632821,
      0.487937126745306,
      0.143276871411071,
      0.253053114823987,
      0.295249489195187,
      0.276429072173092,
      0.260842057488103,
      0.213692263968386,
      0.159976159235685,
      0.188743609463146,
      0.144939714129005,
      0.248944836813594,
      0.399638132104928,
      0,
      0,
      0.29043608301761,
      0.11568242729849,
      0.223064277417685,
      0.198997657047011,
      0.193636096870354,
      0.483799086654563,
      0.2759262576453,
      0.263732471427039,
      0.284973165963066,
      0.203324823069434,
      0.201642512555797,
      0.333192962754867,
      0.315258725419234,
      0.101675056303028,
      0.0579204133571696,
      0.148681526100394,
      0.439234602009045,
      0.143781958951921,
      0.378630295776456,
      0.376453832470364,
      0.363331436553149,
      0.259137246513604,
      0.234797308121313,
      0.199421548793172,
      0.441682939686953,
      0.111606020858716,
      0.190015889506441,
      0.323458278335463,
      0.359046807475658,
      0.178299850348879,
      0.130253042701037,
      0.160483742566397,
      0.160167833169128,
      0.0949264820475632,
      0.148078288415978,
      0.476455376024762,
      0.0898582071138203,
      0.363044970306246,
      0.273764207869953,
      0.183347173997384,
      0.203710394397964,
      0.144684604251038,
      0.164364148040035,
      0.367085825901516,
      0.271282512236545,
      0.256819935155527,
      0.381032313311348,
      0.0219663284660281,
      0.172224279472261,
      0.176886141025829,
      0.227303971902176,
      0.0963295060166708,
      0.0318883465423023,
      0.00798507909002734,
      0.50976492046292,
      0.131298616935102,
      0.119450964576721,
      0.190271208484518,
      0.0518016538558821,
      0.197579841021904,
      0.125598067775479,
      0.190809316916022,
      0.102970034857403,
      0.0758995631448364,
      0,
      0.162452168747108,
      0.0529758762273195,
      0.269934362357622,
      0.222824756730267,
      0.056492583056139,
      0.205838394183235,
      0.203153486541934,
      0.175717350216556,
      0.11045022821262,
      0.233018763405175,
      0.237321689460648,
      0.296137557492267,
      0.253991752069011,
      0.253918192456524,
      0.119534640577961,
      0.19767583073465,
      0.176518541449437,
      0.264805719751678,
      0.161403813383821,
      0.34857141556304,
      0.291499339410867,
      0.260504394728622,
      0.329894123757103,
      0.294459354460075,
      0.25195031899179,
      0.151412554365686,
      0.21231478626905,
      0.18057587867093,
      0.35896565789189,
      0.292754972094216,
      0.245295705033315,
      0.255211623717778,
      0.2483526926896,
      0.109768085425652,
      0.19837597411366,
      0.099582376459882,
      0.246290317196943,
      0.0875830524508584,
      0.391288731448376,
      0.242237209678468,
      0.334924299591039,
      0.181896595765526,
      0.326479237122214,
      0.244113677058087,
      0.250004977014206,
      0.099418211259491,
      0.176677073029213,
      0.117394177949581,
      0.191868192517141,
      0.15502737283457,
      0.174851299526955,
      0.515156071656926,
      0.333887307907141,
      0.21403770345499,
      0.334230319151391,
      0.387156901555557,
      0.248712028674799,
      0.268757949556951,
      0.163027507563414,
      0.179568251714784,
      0.363479534303429,
      0.257217380831805,
      0.532649756757997,
      0.312358900765681,
      0.229125233738681,
      0.323757291751599,
      0.236666837556517,
      0.300368141770302,
      0.351804049605722,
      0.207393277114825,
      0.399797877485064,
      0.223925438442365,
      0.325337609202421,
      0.396012213006626,
      0.24638759949943,
      0.25208485370059,
      0.322866228220561,
      0.210864543228746,
      0.316521435393091,
      0.273649573569176,
      0.28247929161976,
      0.556129702149778,
      0.231799610347381,
      0.337906329437291,
      0.36340902729708,
      0,
      0.0678957385310902,
      0.346145682439946,
      0.167662987340641,
      0.318034814813352,
      0.182019124260197,
      0.27123079454308,
      0.426843922282666,
      0.148453576966514,
      0.351118935469199,
      0.411582400176893,
      0.39125623111268,
      0.123144089107661,
      0.153351215331136,
      0.348894618286092,
      0.527648821750975,
      0.357541029829965,
      0.34422569556357,
      0.303096870024731,
      0.408237292526244,
      0.302542808680653,
      0.348228217755612,
      0.283547608395837,
      0.483204708209636,
      0.0249238929752957,
      0,
      0.482249833244181,
      0.357993780540406,
      0.391898514181413,
      0.119127659829752,
      0.185545716496637,
      0.12077824191622,
      0.276483927187353,
      0.372162354291912,
      0.499208718885844,
      0,
      0.290196499270292,
      0.366670045173532,
      0.320591962100618,
      0.394354811461212,
      0.0000264735301022891,
      0.0757396974753178,
      0.464090399156209,
      0.322472568928706,
      0.350433464178594,
      0.544600296664633,
      0.317752167774751,
      0.426661885014085,
      0.458215322888512,
      0.407160002722394,
      0,
      0.123067653141414,
      0.412296302662851,
      0.374091586311198,
      0.246815061288288,
      0.242075183776235,
      0.341054343022002,
      0.373428200766139,
      0.258299965884763,
      0.543869286848303,
      0.331319614620529,
      0.412933838687405,
      0.568214932995157,
      0.331728204032431,
      0.531746088819223,
      0.168643537770891,
      0.434274387878771,
      0.234091149125557,
      0.289230552387081,
      0.222161750560759,
      0.340767764871347,
      0.304247130783571,
      0.261876448243562,
      0.292712948543849,
      0.256620886634305,
      0.435645617428325,
      0.327474224954592,
      0.370645319484593,
      0.286569173300633,
      0.118827340508302,
      0.387387387262451,
      0.428622674181702,
      0.252659380541186,
      0.53062855394313,
      0.217684594946657,
      0.201757609608262,
      0.308421903093068,
      0.172223274389011,
      0.324352140405526,
      0.434321728353257,
      0.231126103256141,
      0.322409601285221,
      0.307596650890004,
      0.0363190819384058,
      0.490217345214561,
      0.227614404197003,
      0.374118557123163,
      0.409760359680388,
      0.437790093565706,
      0.0951048089925288,
      0.290389193890866,
      0.228854019808259,
      0.491501142361293,
      0.00696559352996697,
      0.239351020803756,
      0.237317045466131,
      0.256470650931804,
      0.278223629115632,
      0.321997054260963,
      0.312806621587774,
      0.269616282752136,
      0.382322043591056,
      0.243847656772141,
      0.507051193490587,
      0.19206134619719,
      0.42380830367961,
      0.221628988931797,
      0.247927214763174,
      0.288743031040937,
      0.2264987877997,
      0.249303542599788,
      0.40019143400787,
      0.125670147587229,
      0.20336900775218,
      0.389891106410752,
      0.300945605869458,
      0.214580236731361,
      0.390866304627397,
      0.335222846223984,
      0.150675614606305,
      0.290643575213489,
      0.376303486410952,
      0.541849801964945,
      0.327580121536128,
      0.42380877613349,
      0.402337665855164,
      0.34299940574978,
      0.231870622929796,
      0.170134584455556,
      0.258659450626884,
      0.409537891910529,
      0.29467429879776,
      0.168473661051459,
      0.445236232094658,
      0.326381196014033,
      0.310564425767159,
      0.368345686198886,
      0.383564688221472,
      0.180777601914724,
      0.289118722411292,
      0.23393124952295,
      0.522916266155003,
      0.313279459447987,
      0.377987386108005,
      0.312794585322702,
      0.295462054701526,
      0.301140760092354,
      0.344606931447161,
      0.345427143145378,
      0.273327602014548,
      0.238238501586829,
      0.342086905889963,
      0.493051728585922,
      0.216556175898846,
      0.395567262747754,
      0.346280375799032,
      0.251410320494139,
      0.360005006215505,
      0.283850336606268,
      0.235385657324841,
      0.48853511608004,
      0.283263603494599,
      0.295051403597459,
      0.3552696017996,
      0,
      0.118147864285355,
      0.381641119214654,
      0.265250638817746,
      0.420119358155055,
      0.302608627245784,
      0.417815869521956,
      0.529304554399752,
      0,
      0.420051593628864,
      0.438637371929566,
      0.422924542141029,
      0.256708894963211,
      0.128442808268615,
      0.11184370531921,
      0.395154288053966,
      0.440320277131874,
      0.316027140739238,
      0.450325901340915,
      0.273238767627601,
      0.258955688199176,
      0.343310283460921,
      0.413373121653524,
      0.220858053948102,
      0.0117913449195049,
      0,
      0.507640236648917,
      0.316987425274235,
      0.464230297543221,
      0.222085164934791,
      0.149902345591782,
      0,
      0.482826575876641,
      0.401584880975289,
      0.190177796566614,
      0.207794274741882,
      0.304102885260804,
      0.438487125573825,
      0.456623380382051,
      0.318130480532536,
      0.14183528853341,
      0.293458080335668,
      0.316121088048382,
      0.317123901673717,
      0.41010938378623,
      0.537043859788786,
      0.327226281733918,
      0.351634065422213,
      0.418477963063636,
      0.437762098990201,
      0.389398127375352,
      0.0852709390869114,
      0.030089518882377,
      0.33882183753112,
      0.387809707152938,
      0.398704527409205,
      0.474596930620145,
      0.335166770947132,
      0.400918801152944,
      0.468190723548031,
      0.434423075983676,
      0.371491928975577,
      0.264932414818666,
      0.413276655082841,
      0.480721511607225,
      0.245423620473889,
      0.255319285673832,
      0.275085287633,
      0.357583087470682,
      0.260452402803861,
      0.345779002371453,
      0.324448748722361,
      0.229126064625275,
      0.254941188175897,
      0.327200172138951,
      0.485271883013812,
      0.328092813423987,
      0.454071322858701,
      0.195186344212906,
      0.206126097629006,
      0.366920558202719,
      0.345167381167568,
      0.304506940051857,
      0.392940961887616,
      0.171444837215593,
      0.185588254959764,
      0.363881779857578,
      0.261787466648541,
      0.351333541838365,
      0.438435249909551,
      0.277686672745165,
      0.268672100799341,
      0.320237665796246,
      0.0565016311673507,
      0.543167450825568,
      0.214475025595531,
      0.422064530843688,
      0.409378193641285,
      0.359391022132951,
      0.110727781861637,
      0.19438820780181,
      0.237823509331854,
      0.190220900626295,
      0.0233711207750464,
      0.157459051444084,
      0.440137452432138,
      0.37656914295294,
      0.36760471534795,
      0.39907446878054,
      0.475587898517483,
      0.32405452978525,
      0.296629054053137,
      0.156336420505152,
      0.51954267367471,
      0.243582241969505,
      0.365613544042083,
      0.237853499623782,
      0.237006686275457,
      0.261668169433591,
      0.180712061606282,
      0.204895512999686,
      0.328210623504585,
      0.226741159860477,
      0.161398149158821,
      0.485311332325883,
      0.336601418332142,
      0.389747889966438,
      0.242139066550828,
      0.304559584793231,
      0.15110882999704,
      0.299591137740033,
      0.289972654441277,
      0.502769758940747,
      0.297146729163375,
      0.24942170563316,
      0.346022378040454,
      0.145601973426849,
      0.302856488739018,
      0.257504319323134,
      0.308407125484818,
      0.428851356421067,
      0.314488362117191,
      0.222371781136551,
      0.527776212429801,
      0.326452113121587,
      0.257360330539489,
      0.304642147976335,
      0.320379454842444,
      0.289003716235356,
      0.376596650796888,
      0.303848214582491,
      0.381888253327327,
      0.313997910895923,
      0.193176402894967,
      0.390407873902104,
      0.313607679099368,
      0.259009054014689,
      0.383405500226812,
      0.364781992193684,
      0.30567328806603,
      0.230203626879756,
      0.344341873541981,
      0.515566269233949,
      0.272082361240163,
      0.247294966652531,
      0.358564748747264,
      0.258183730100263,
      0.341954063802732,
      0.282099322024299,
      0.176590866562574,
      0.240488296100735,
      0.274526147825247,
      0.310048473282364,
      0.394192178331474,
      0,
      0,
      0.360210920016133,
      0.192538284687993,
      0.221497696681233,
      0.205537214535459,
      0.188085915884333,
      0.524616446253351,
      0.335463485562227,
      0.359739925733111,
      0.315914074491465,
      0.189581960123102,
      0.139118192240065,
      0.354800850202115,
      0.268849252539856,
      0.130005124824123,
      0.107706759177513,
      0.26041910791409,
      0.511012625069313,
      0.130013715669112,
      0.378758962830954,
      0.424148461295463,
      0.423922508554208,
      0.236085023244406,
      0.193076295826886,
      0.163139732612776,
      0.483738840265399,
      0.120610038252985,
      0.243572316794393,
      0.269424687970214,
      0.261384150625997,
      0.178013688213583,
      0.165593462424468,
      0.248517104584796,
      0.203810930933814,
      0.148341538032831,
      0.208182250576581,
      0.516957169105511,
      0.240280331927645,
      0.434822492040951,
      0.323904274606877,
      0.192855757844936,
      0.287669398531154,
      0.156383394323804,
      0.157282223493024,
      0.393937365693211,
      0.351380902608734,
      0.315455231254413,
      0.428033556369494,
      0.0553083227421266,
      0.189655079698272,
      0.194045307465409,
      0.209229166038543,
      0.0684392591224918,
      0,
      0,
      0.551973545087108,
      0.0817243959201919,
      0.0821470855504277,
      0.174291702983691,
      0.0128178755322192,
      0.228857694946032,
      0.291232003668157,
      0.32013652111419,
      0.138213550046502,
      0.128820801480432,
      0,
      0.212375405335488,
      0.0092532074046124,
      0.204820013662347,
      0.204689619112291,
      0,
      0.243099467674017,
      0.267145796628115,
      0.208109853673791,
      0.205732832012053,
      0.170398636492186,
      0.183675416382729,
      0.290005558455945,
      0.337030432242857,
      0.319886143898567,
      0.14282587216737,
      0.176548003305374,
      0.123093799415873,
      0.272153628449312,
      0.0887957913423321,
      0.385229878923301,
      0.441018245799455,
      0.265345806217979,
      0.41538435909788,
      0.173074576543895,
      0.218857904205725,
      0.166175070255654,
      0.18595626249192,
      0.146803207233661,
      0.334366219817028,
      0.260113243585294,
      0.336498705046391,
      0.243935792538478,
      0.326218655637053,
      0.107666857076259,
      0.187854763927773,
      0.122140104024837,
      0.273333517318175,
      0.0708753755549877,
      0.32926457803217,
      0.310114805666912,
      0.351248580547267,
      0.249857768562969,
      0.305681042124693,
      0.197198701437612,
      0.211339404166027,
      0.0224028686285899,
      0.0951398085765548,
      0.152156809642348,
      0.140394794585611,
      0.170533593353096,
      0.230325034134135,
      0.493925863412528,
      0.300724417347153,
      0.183273233247401,
      0.376620398858152,
      0.394365787224287,
      0.143410346228025,
      0.129283831580106,
      0.294041711700952,
      0.0996905504362973,
      0.355872610670933,
      0.230904657445776,
      0.569968384158278,
      0.296569774906952,
      0.251409017131793,
      0.356560969594988,
      0.195103841836103,
      0.196767002140205,
      0.411257952785289,
      0.27068531227872,
      0.413523395506794,
      0.292999016205703,
      0.322967134228505,
      0.423651969543517,
      0.289296299036427,
      0.294402831006972,
      0.316225153610212,
      0.243015527988988,
      0.316769781235037,
      0.297175924320319,
      0.288577221631538,
      0.57989673818271,
      0.325327433690604,
      0.204667933422846,
      0.232709515688543,
      0,
      0,
      0.347721735048103,
      0.21204630789172,
      0.528366219388835,
      0.144266573155853,
      0.347386502949013,
      0.518044663001831,
      0.0685825026578391,
      0.353507650601106,
      0.368857527824156,
      0.395395307110075,
      0.131021830719082,
      0.174328489297775,
      0.306247597997303,
      0.517760999840112,
      0.439967817559747,
      0.313437275637445,
      0.267227083601983,
      0.409070800329955,
      0.383886199442418,
      0.386859019629891,
      0.317387534196747,
      0.335813161839849,
      0.0860219835966644,
      0,
      0.560445857195167,
      0.362257535129466,
      0.402054362390314,
      0.177347583342516,
      0.064490513752461,
      0.0666940287773504,
      0.296978376640058,
      0.20438720774893,
      0.492952993300428,
      0,
      0.357384080546539,
      0.410317822470964,
      0.390054946829249,
      0.364821746097728,
      0.0578281846164467,
      0.166450930156085,
      0.550077401151382,
      0.38043372011199,
      0.405711575985316,
      0.572761053510083,
      0.289161458822192,
      0.450690019758373,
      0.411173801757523,
      0.374064690623694,
      0,
      0.0571799311690792,
      0.465079514486349,
      0.356470474326535,
      0.167257728294557,
      0.183913320155665,
      0.388191065209957,
      0.435510501270043,
      0.394023075996411,
      0.463303848095058,
      0.346477679863433,
      0.368147125460881,
      0.306274076762752,
      0.345967313771245,
      0.550708347954456,
      0.171227025083889,
      0.402500406396895,
      0.195551981362935,
      0.325649661575588,
      0.233527985468693,
      0.31996919935411,
      0.280320118676293,
      0.230249469058229,
      0.298954426893328,
      0.252954482775699,
      0.470752981751197,
      0.392865987528401,
      0.41636758778705,
      0.314643850987701,
      0.0899611019367464,
      0.27110061820617,
      0.27580144459611,
      0.173996732747912,
      0.5247942280776,
      0.272933489926785,
      0.209405075910861,
      0.436322515146541,
      0.21016902703394,
      0.331976658140724,
      0.420632207313162,
      0.340753336765614,
      0.215096525818097,
      0.149885621478878,
      0,
      0.578021939297482,
      0.248627057004608,
      0.375255486474258,
      0.401778355341411,
      0.398615426168708,
      0.0753214268626742,
      0.32506420750752,
      0.345239352536512,
      0.481383596665953,
      0.0565802446383788,
      0.211620494939054,
      0.261585546574263,
      0.22318762113242,
      0.181388996748467,
      0.379991402040396,
      0.438339141510361,
      0.273342013158783,
      0.355869629454808,
      0.155670937613941,
      0.574285952432489,
      0.196945827362551,
      0.401301361744982,
      0.239291567906038,
      0.253578128381499,
      0.255083010105639,
      0.320449195342083,
      0.221265687169809,
      0.402995568180147,
      0.187395611233416,
      0.135442268017233,
      0.446610318027002,
      0.294806389930374,
      0.211901381457091,
      0.330422110318404,
      0.295738909893968,
      0.149193163848365,
      0.381781723258278,
      0.377627630020853,
      0.55164524634057,
      0.286457253327707,
      0.384909864083034,
      0.373715752925056,
      0.307027518799279,
      0.207536300494004,
      0.205581908211512,
      0.20297825093281,
      0.373072170748699,
      0.320359203604725,
      0.183889040136337,
      0.465272770526637,
      0.416992036659393,
      0.335342801763046,
      0.366879069017295,
      0.372874137509621,
      0.15883170542378,
      0.400767922106006,
      0.238806173847234,
      0.511681583589035,
      0.261892320098072,
      0.332364364074112,
      0.334415589295071,
      0.309215864822235,
      0.173286322828535,
      0.427976779075567,
      0.360291577785116,
      0.373247042642244,
      0.187817329214781,
      0.317592308224508,
      0.542665972172675,
      0.275078626421081,
      0.406844591161492,
      0.337969287814695,
      0.245304895607045,
      0.292792380466595,
      0.424481762381041,
      0.297262284313456,
      0.475523706144147,
      0.263709806710561,
      0.186955608652957,
      0.348913568179938,
      0,
      0.0781816185429507,
      0.359046864109232,
      0.203335421980934,
      0.220923062331383,
      0.254962082402477,
      0.374316228031396,
      0.604042713239338,
      0.156199029055592,
      0.401146105192769,
      0.410383881110658,
      0.394910324450495,
      0.456650237134339,
      0.129244115430388,
      0.139686826736802,
      0.439275105000843,
      0.458003087930473,
      0.372518567137006,
      0.428709099083444,
      0.305354544425446,
      0.387225409843676,
      0.394478375400996,
      0.397111106851347,
      0.110724331810159,
      0,
      0.0107860874989069,
      0.544670273832805,
      0.286229148747213,
      0.485688978468188,
      0.190501151815963,
      0.181294392472098,
      0.0161140689860477,
      0.343827887206256,
      0.326962414495058,
      0.462214963240658,
      0.2422430834126,
      0.350455729241092,
      0.513311789223497,
      0.513796625575418,
      0.314926496248855,
      0.199812844137903,
      0.436218602130802,
      0.384493843072581,
      0.398726496806561,
      0.402604079056529,
      0.516396926341776,
      0.280559377638877,
      0.313708496873035,
      0.336570419323924,
      0.271201580598654,
      0.445333143768611,
      0.135233913316814,
      0.0820559257774496,
      0.282147208940974,
      0.296814073689136,
      0.290729614821965,
      0.537321308373103,
      0.40686030002498,
      0.415488985318572,
      0.442917520961684,
      0.411469061439485,
      0.360477105440475,
      0.192165508589107,
      0.271057245697032,
      0.472994172140413,
      0.323057498931721,
      0.275940667327963,
      0.305157769075507,
      0.411836341233076,
      0.263984617359288,
      0.316663313040201,
      0.25658823646248,
      0.200007095150276,
      0.275683634814255,
      0.271954708755956,
      0.546988618678252,
      0.391029062204219,
      0.478686996425993,
      0.174284567041997,
      0.144375264058052,
      0.248387059608569,
      0.200435610611002,
      0.322579714999471,
      0.377922758972827,
      0.253263800682243,
      0.221505912404879,
      0.419676205959724,
      0.299748356374136,
      0.341693118949124,
      0.386540750829275,
      0.369888052632123,
      0.2159095846281,
      0.202895876107376,
      0.044175134742129,
      0.581336556528436,
      0.226413252170389,
      0.390899257157219,
      0.383083898639402,
      0.326435835075036,
      0.0852554183159619,
      0.357746661215875,
      0.390739124943442,
      0.248443663341924,
      0.0587467621902872,
      0.171449385705661,
      0.532298023388745,
      0.39124724465232,
      0.352927043598997,
      0.456179230588555,
      0.448307477963425,
      0.297208632358599,
      0.36609950695257,
      0.125468939974618,
      0.514282474947533,
      0.2217729815656,
      0.329252968464203,
      0.258485871487361,
      0.273044820979207,
      0.230008834291323,
      0.310033190637089,
      0.217655620368472,
      0.312159256986751,
      0.304152214135456,
      0.105928762572741,
      0.556434464853148,
      0.287106376462654,
      0.389629541786007,
      0.21642796699091,
      0.251992830802445,
      0.117763553916046,
      0.452130682241285,
      0.450014738975967,
      0.48503986188707,
      0.299469403836686,
      0.0921886859037328,
      0.366907689201322,
      0.325503595761902,
      0.339150789348074,
      0.272109151425095,
      0.263382312120827,
      0.335852645466751,
      0.327375118739594,
      0.182565029752795,
      0.560750549256667,
      0.432928222071006,
      0.173949758700739,
      0.412347716119151,
      0.319578620542852,
      0.168526699783544,
      0.396915547367589,
      0.23968731610455,
      0.362090876122702,
      0.245470287844441,
      0.157231724658807,
      0.408427426278305,
      0.389042136835785,
      0.179658303308277,
      0.450198841307003,
      0.340756698214439,
      0.371762590065938,
      0.259372146305069,
      0.274004327824,
      0.545512591000691,
      0.324024628174771,
      0.316028931863169,
      0.379079163805181,
      0.289502464252484,
      0.226466877084657,
      0.417898072927526,
      0.245510650650684,
      0.159653342667004,
      0.157232432847991,
      0.122758110742692,
      0.431991311075097,
      0,
      0,
      0.405577164806652,
      0.127234627532687,
      0.215218854412144,
      0.256135420482353,
      0.227033473285254,
      0.529924136374423,
      0.451622456227877,
      0.328569949187699,
      0.323850522377954,
      0.206977976232157,
      0.274824056769073,
      0.373159889612393,
      0.232315187066645,
      0.151484068638672,
      0.0878400944316244,
      0.201218941466114,
      0.591994964875112,
      0.111885489171382,
      0.382689128344801,
      0.406737373360758,
      0.391215699755686,
      0.285848139262956,
      0.157119532144796,
      0.207382997968968,
      0.46851596187665,
      0.117847773436293,
      0.271363611958253,
      0.291484406851849,
      0.332073493444954,
      0.176982514776242,
      0.157456436550049,
      0.301126340646108,
      0.126436121579804,
      0.284906149867137,
      0.301097165591954,
      0.567165788535237,
      0.162403050361974,
      0.420717913858928,
      0.329840698059983,
      0.0980492466914861,
      0.363948377249174,
      0.114125231419182,
      0.115387830992274,
      0.379210391086094,
      0.377812032475541,
      0.137309882164388,
      0.49460416213272,
      0.0878925783387767,
      0.234743081379319,
      0.198928498709985,
      0.204381668603986,
      0.147617555933676,
      0.0733808506507958,
      0,
      0.557625296707454,
      0.117804276894227,
      0.0479321159416263,
      0.171157564915282,
      0.0555278596803833,
      0.204353737605843,
      0.370927101108257,
      0.197127898411111,
      0.118046254309502,
      0.146164962541076,
      0,
      0.267318300962409,
      0.0885180636781074,
      0.18642369020884,
      0.230327191394921,
      0,
      0.245052270105998,
      0.249650015797762,
      0.172802647108081,
      0.158858747622861,
      0.204055458602694,
      0.153450702450525,
      0.274489077857039,
      0.298592262317133,
      0.122900609670453,
      0.142488886483835,
      0.206425986739579,
      0.0802385206649481,
      0.319369798905269,
      0.132002108538115,
      0.296057553688515,
      0.39441632837053,
      0.144775775390857,
      0.343970251313013,
      0.216981775060811,
      0.170381932423914,
      0.174305628235619,
      0.194579246385728,
      0.317530285570928,
      0.30171314493964,
      0.236968574700066,
      0.281281205348543,
      0.219013664598037,
      0.365451494800087,
      0.00415896238306259,
      0.200028383413979,
      0.01730020846869,
      0.217895038763635,
      0.0838583411931793,
      0.348232845314456,
      0.333098779319694,
      0.245028495861449,
      0.234830852914113,
      0.283618857981274,
      0.141088458915424,
      0.155336019554994,
      0.0629589860805796,
      0.0986252400091093,
      0.0747751198886661,
      0.273446326623303,
      0.204058949521295,
      0.225213455050373,
      0.45064221664144,
      0.219047166580709,
      0.205462059013582,
      0.278533069080501,
      0.209571221462825,
      0.237196382705902,
      0.154394850598856,
      0.165772429587948,
      0.125427908758583,
      0.210463914727282,
      0.120170611106015,
      0.523927754600708,
      0.137854425885631,
      0.249236800585099,
      0.259651449920224,
      0.133070895023176,
      0.155084836615036,
      0.394023322314613,
      0.469712631912921,
      0.419009405783154,
      0.322822447603462,
      0.228752801891893,
      0.398115772721353,
      0.346203538817328,
      0.249700931393563,
      0.286228308819452,
      0.269182264709574,
      0.282295162930325,
      0.245121269941422,
      0.23528059149858,
      0.535234216735682,
      0.172743878233274,
      0.159919378149559,
      0.227203633882848,
      0,
      0.0927081456066335,
      0.351481219784149,
      0.194810938971809,
      0.462282269457574,
      0.253411267538867,
      0.136230259898421,
      0.472367901528011,
      0.0318748929430636,
      0.311995525494776,
      0.347367911379328,
      0.387516168760922,
      0.115401796088781,
      0.012863754005584,
      0.415443363970792,
      0.495496027397057,
      0.338111834068679,
      0.321614925614755,
      0.203784285665108,
      0.335769183480511,
      0.372173216032687,
      0.306382919057753,
      0.281823210404156,
      0.179818617975012,
      0,
      0,
      0.491527695585959,
      0.277346792856486,
      0.382356004342884,
      0.184125063201229,
      0.106416228305682,
      0.0355487498285438,
      0.337989775280142,
      0.0636614277207915,
      0.4676376768719,
      0,
      0.329738181496113,
      0.390789056862418,
      0.269433349328906,
      0.243838224683803,
      0,
      0.164787295373786,
      0.50051489543001,
      0.34172318823619,
      0.265965004406201,
      0.547994018875071,
      0.433714868041951,
      0.439632403563032,
      0.409632975874773,
      0.386872241048718,
      0,
      0.0154183655948972,
      0.448623483041323,
      0.352991248749778,
      0.167480888073311,
      0.125364396732585,
      0.385006144845887,
      0.255047667667028,
      0.303781812142176,
      0.340608812568604,
      0.28035449296148,
      0.316164861158385,
      0.480658157724987,
      0.306697206785885,
      0.523208299658041,
      0.120173798799117,
      0.394885988671885,
      0.164906924967416,
      0.219477473972682,
      0.197740554428602,
      0.178422680158918,
      0.241426357230913,
      0.245168485581338,
      0.262623989182782,
      0.267182186360445,
      0.458266913870234,
      0.280291882755452,
      0.308877632849227,
      0.141122263011888,
      0.00580732119614445,
      0.138475157109157,
      0.191593835877918,
      0.263251090001225,
      0.508561399589693,
      0.247727009824873,
      0.0767340265171452,
      0.428501510664682,
      0.181739982298623,
      0.332647845255668,
      0.392522932059833,
      0.291400522132389,
      0.315467390066456,
      0.227286002521832,
      0.00313169341950754,
      0.532492761074623,
      0.240246858182207,
      0.372030386984244,
      0.397356392180471,
      0.420234619349232,
      0.101621845681255,
      0.304567732143194,
      0.356284570350747,
      0.457080463218442,
      0.125132108075207,
      0.207751913346764,
      0.265337578590666,
      0.235977176248687,
      0.144749873384461,
      0.362844061249232,
      0.441573931547163,
      0.156593003138595,
      0.340724614747642,
      0.169675395073533,
      0.52853692084419,
      0.268107959826549,
      0.412969096910878,
      0.292249913298714,
      0.252708371794508,
      0.186355608697878,
      0.303973325277128,
      0.230293790255421,
      0.388317413394812,
      0.0690915732140773,
      0.170937189461032,
      0.428903240643196,
      0.25639446270663,
      0.180971992401919,
      0.320524989312532,
      0.216831399375575,
      0.121922328981331,
      0.339072216196109,
      0.269998542084615,
      0.527502566540368,
      0.276148082605765,
      0.380669985713511,
      0.373187384603039,
      0.317688621596579,
      0.220321562549539,
      0.199494182217884,
      0.260514347750413,
      0.16698731256686,
      0.220101852940965,
      0.185764557062645,
      0.488372017276408,
      0.273694783438476,
      0.285664361887033,
      0.33936430690101,
      0.38434484210357,
      0.140118357682901,
      0.278622464224803,
      0.137591985153116,
      0.504510802684932,
      0.165227846885585,
      0.3442836778103,
      0.30755953804298,
      0.209328313209562,
      0.140765746103809,
      0.308259344032873,
      0.445015748665072,
      0.390606547935718,
      0.227158768317119,
      0.248536032262747,
      0.500530816091171,
      0.33941268365797,
      0.387350918663402,
      0.261642953673985,
      0.307922740194773,
      0.225823322655117,
      0.311924475980491,
      0.167330974057338,
      0.474845393201518,
      0.192093597702375,
      0.184334178965088,
      0.327932726060973,
      0,
      0.0199791140404421,
      0.344675828333229,
      0.173594261731406,
      0.238947680404414,
      0.230323408791277,
      0.256728766625019,
      0.563281379921007,
      0.0878657601080792,
      0.398337982151728,
      0.40971792822226,
      0.397755412589585,
      0.395105324009748,
      0.0202285708233901,
      0.100939762486525,
      0.379238091112606,
      0.244848465437573,
      0.206943767089953,
      0.376570489364852,
      0.300198909621303,
      0.299401281207747,
      0.263104229148261,
      0.366366122968109,
      0.0795706244141773,
      0,
      0.000214036242607473,
      0.525309264952535,
      0.261783139592718,
      0.387623600322731,
      0.195898412004077,
      0.108936362136923,
      0,
      0.265549447493226,
      0.0699169523857046,
      0.358900319772344,
      0.322458861689212,
      0.365666752670903,
      0.468302471458989,
      0.343287116087732,
      0.275992562971082,
      0.18023425274388,
      0.352109000658451,
      0.310647113710589,
      0.388335574450845,
      0.271580421867719,
      0.499323199746751,
      0.28432547016754,
      0.320358690126301,
      0.320387364842141,
      0.181493447181232,
      0.120829275486541,
      0.0643290602889037,
      0.106385849452684,
      0.231171833981921,
      0.243884473024957,
      0.190601565229439,
      0.536587801250526,
      0.360190772755656,
      0.395210162392373,
      0.404010915904827,
      0.412593420998474,
      0.370898319349062,
      0.217831195353525,
      0.281032230526311,
      0.453965195346693,
      0.210131412749815,
      0.297790009920483,
      0.280671850431642,
      0.358942110971564,
      0.173191923388503,
      0.203524170298987,
      0.210576196371684,
      0.242210619354283,
      0.293554378791407,
      0.295020409949121,
      0.528736462078191,
      0.254584959085896,
      0.411262695917267,
      0.107187871650342,
      0.0205361403923937,
      0.148849907072934,
      0.158750827931041,
      0.269755590911651,
      0.381405037991901,
      0.117103534555881,
      0.0953509384614232,
      0.444935290074728,
      0.300222479611823,
      0.348825896600084,
      0.40515552043581,
      0.310249006061698,
      0.303622125190837,
      0.239388295380306,
      0.0418988271093465,
      0.543801354040707,
      0.264346709688878,
      0.386230803604932,
      0.376595056326953,
      0.331451718967318,
      0.13285476360182,
      0.38626650771832,
      0.375660720324548,
      0.242730826624103,
      0.136301038800032,
      0.158435093989068,
      0.466111701513972,
      0.247387060736879,
      0.330974627176788,
      0.440288944599069,
      0.41055447292979,
      0.19595504409811,
      0.349186130685286,
      0.109060086596379,
      0.492017007478315,
      0.293391813756545,
      0.330749795731535,
      0.304081146133054,
      0.232558082272322,
      0.224126006849793,
      0.310934326120704,
      0.217717331482419,
      0.349374415028123,
      0.160405641527582,
      0.137724842944753,
      0.492187647931898,
      0.266775472023573,
      0.377019658586306,
      0.204848396495624,
      0.316140656889604,
      0.128711186523507,
      0.428101824639666,
      0.427328328229971,
      0.457866169974068,
      0.289790524407107,
      0.246001199451226,
      0.411004440798993,
      0.283238800823093,
      0.439886640068049,
      0.23761885929631,
      0.242352729476656,
      0.232053485936139,
      0.355950878518633,
      0.282098417840734,
      0.550194090106993,
      0.304905717657401,
      0.313072219195531,
      0.330256808469274,
      0.2312643986221,
      0.406296876708569,
      0.28371600883678,
      0.191496854710258,
      0.359235538655152,
      0.201550032459019,
      0.183629428365751,
      0.373621948092876,
      0.274679362712899,
      0.17851349947736,
      0.242121553981351,
      0.424786664588619,
      0.388656658378534,
      0.22905013557655,
      0.184749663315474,
      0.526585107074415,
      0.33021304194903,
      0.265462180572516,
      0.293880620859722,
      0.331434065024796,
      0.231477360238708,
      0.334427073989233,
      0.161559755642143,
      0.410575437920063,
      0.194424775585898,
      0.159341716251325,
      0.47649842502821,
      0,
      0,
      0.334599241961336,
      0.102088637782156,
      0.211120001150215,
      0.163125518975042,
      0.182518812162549,
      0.511477594284966,
      0.367724315265926,
      0.319170896128125,
      0.347544286312374,
      0.187937889917979,
      0.33325935354939,
      0.380532992079741,
      0.261439270461507,
      0.169932231055376,
      0.120255259535921,
      0.0258174036471607,
      0.524679761397791,
      0.202916261108496,
      0.373458684848997,
      0.402740852482154,
      0.399381306595981,
      0.214784452981757,
      0.192927800903265,
      0.2496965611532,
      0.453871129048958,
      0.174198434971357,
      0.210659948905321,
      0.398070504297876,
      0.393211528161406,
      0.158984102329773,
      0.160987089821426,
      0.429692377839601,
      0.167130886733995,
      0.404515979683748,
      0.263667265276534,
      0.517384659089181,
      0.137664671503504,
      0.417897341233733,
      0.36717699203537,
      0.0558907939851382,
      0.324352343642211,
      0.0877548372708575,
      0.112286762936813,
      0.374557466110347,
      0.349200812402954,
      0.145959713477317,
      0.443427683525601,
      0.0175856167829349,
      0.202796177336173,
      0.312321922530756,
      0.189672668497848,
      0.121504719895038,
      0.0525368857905161,
      0,
      0.541643310627193,
      0.0968769437172711,
      0.161257555587652,
      0.160717571011493,
      0.00822735513138204,
      0.20496036363501,
      0.200983237075446,
      0.12019993365074,
      0.105787518620464,
      0.106232101510329,
      0,
      0.233699416643897,
      0.0993762379741724,
      0.297739478030801,
      0.239918808248836,
      0,
      0.288899613276538,
      0.243036569660781,
      0.111732679748059,
      0.154626756164255,
      0.286676496199637,
      0.149727258861725,
      0.1601122695549,
      0.20730065055621,
      0.188750148141094,
      0.166130176814322,
      0.263709434010059,
      0.250209315323631,
      0.290155427264821,
      0.136319758140121,
      0.298315510496968,
      0.211436727463499,
      0.12487559096377,
      0.215079604242535,
      0.301406910360831,
      0.429366131801245,
      0.291499182916956,
      0.21260977494854,
      0.392418712210223,
      0.383260218830188,
      0.288176236085087,
      0.234953662994814,
      0.274846600746463,
      0.377219627796799,
      0.0324704020428636,
      0.201945011148024,
      0.125457792798781,
      0.166609353409952,
      0.125803638670216,
      0.373865595032934,
      0.274858596178075,
      0.247092383670103,
      0.21046110089985,
      0.305629623869109,
      0.163617957730795,
      0.073080234113863,
      0.243628202928889,
      0.227926841733466,
      0.117269508385006,
      0.247767275543501,
      0.278539273215848,
      0.218877861990727,
      0.425853860431175,
      0.18114958820518,
      0.21019435947884,
      0.296583502825346,
      0.236619517627443,
      0.283969305471674,
      0.312723394520727,
      0.185163754778179,
      0.206145729478362,
      0.218035883502676,
      0.21073789409092,
      0.546255442339858,
      0.276603358288509,
      0.257600115924318,
      0.309319152161616,
      0.170646292314733,
      0.329428066862268,
      0.335330664003244,
      0.459356192099766,
      0.360448657486265,
      0.293780646909044,
      0.383839143068548,
      0.412510216304032,
      0.349693393268125,
      0.264350506847644,
      0.382547968315839,
      0.265013176590015,
      0.405777245582523,
      0.308113328722247,
      0.280713317258366,
      0.517441276302641,
      0.265636034563738,
      0.399544800615244,
      0.386224922547378,
      0.109074546888851,
      0.109818029147116,
      0.358686670600577,
      0.256693507816434,
      0.232083188523302,
      0.360941929665674,
      0.146311702352267,
      0.50186318064337,
      0.0628080517639564,
      0.412577502268417,
      0.377254337572161,
      0.41258555217699,
      0.142573541372313,
      0.0535005256508245,
      0.408186913971805,
      0.498485720905998,
      0.318849192450006,
      0.390344865804942,
      0.19234500812763,
      0.381370233958211,
      0.334920137465935,
      0.33391382274107,
      0.181940789959645,
      0.243455862577623,
      0,
      0,
      0.479540272673394,
      0.323787344760444,
      0.407387564468101,
      0.179890084923597,
      0.0690275287819631,
      0.115409599234452,
      0.399305418373995,
      0.417620249805328,
      0.431745843237224,
      0,
      0.330831219198184,
      0.355418646946178,
      0.342852565833477,
      0.260590308356729,
      0,
      0.139370416846756,
      0.26007728665472,
      0.292329085683053,
      0.41936409403055,
      0.542892684953781,
      0.443199488686985,
      0.47670514460661,
      0.508303487683974,
      0.44357287692661,
      0.00794965617799904,
      0.0509699108667939,
      0.421909627409985,
      0.344883918284024,
      0.271398075501049,
      0.113402732262313,
      0.423860189800327,
      0.314430470955947,
      0.255696608337494,
      0.439399460175951,
      0.319304024280152,
      0.284390792800087,
      0.489765038544948,
      0.250722163031501,
      0.520919653814982,
      0.0871329966345266,
      0.458127073787867,
      0.167023168161326,
      0.214970191039869,
      0.236401513037009,
      0.308999669531448,
      0.347301491879518,
      0.25064572206551,
      0.302025336343864,
      0.479605814123887,
      0.460065653966597,
      0.231685472476969,
      0.274913141870693,
      0.141386574790268,
      0.0301583439326634,
      0.377757816039887,
      0.405829002961613,
      0.270357848314566,
      0.496935215689208,
      0.394834682591312,
      0.206896161817766,
      0.465835853992975,
      0.288989769199761,
      0.354652115311575,
      0.381046802591264,
      0.294068875413309,
      0.347992757399272,
      0.267056944221437,
      0.0148587430631262,
      0.525795884592102,
      0.298962446160362,
      0.393500943903706,
      0.442177343616427,
      0.472303708413798,
      0.0610938993682268,
      0.172984346838574,
      0.182383949214278,
      0.426480386796266,
      0.0284116806320769,
      0.314289459943337,
      0.280485156053965,
      0.236474034130675,
      0.179011368333277,
      0.246777229392764,
      0.247714346181452,
      0.131826765567482,
      0.365543441627325,
      0.225038077986908,
      0.532904672114477,
      0.303968535841354,
      0.464222649300749,
      0.32630508689386,
      0.271834020410089,
      0.260831402179998,
      0.244360560806243,
      0.252664635421325,
      0.3628880301185,
      0.0691623389404259,
      0.204605282087763,
      0.434004651829547,
      0.267931116445156,
      0.23025786281274,
      0.372024928107969,
      0.278542560721881,
      0.121618455994867,
      0.221301224754221,
      0.27371740036207,
      0.519235070441101,
      0.283683648757258,
      0.444935526215277,
      0.435255113049206,
      0.359565427805795,
      0.249340688273735,
      0.275535326165487,
      0.257268501176298,
      0.268932640598621,
      0.182225905328366,
      0.198696873734065,
      0.494188056807759,
      0.156288754861015,
      0.34075567333362,
      0.387595527023243,
      0.4022270885533,
      0.177201419285449,
      0.227019046142464,
      0.230843034051174,
      0.495798508189779,
      0.323028075803496,
      0.395475898223825,
      0.288636635980685,
      0.220334594070378,
      0.30977339451628,
      0.284522601769073,
      0.41488066854094,
      0.325770090295535,
      0.32588910192918,
      0.388000564638015,
      0.506215873791596,
      0.341933966152414,
      0.414241634735549,
      0.310292733233283,
      0.382566217662005,
      0.396354707377531,
      0.323606347317479,
      0.293230227951282,
      0.457778951795117,
      0.453028435983117,
      0.35524582047233,
      0.426213504906346,
      0.114140834119661,
      0.137571433419364,
      0.34548910345862,
      0.322048852855219,
      0.266016097863403,
      0.330638544797278,
      0.276284786716568,
      0.539721374094915,
      0,
      0.447255031931385,
      0.468818424133271,
      0.45688875335264,
      0.163362183804262,
      0.0798977800095825,
      0.115718629111762,
      0.346419958607966,
      0.28190070293274,
      0.176705820461291,
      0.373901068157459,
      0.293090839339817,
      0.242746108007124,
      0.274548107764902,
      0.399724613713606,
      0.190910948729846,
      0,
      0,
      0.518673554344003,
      0.209598529039728,
      0.45939077638255,
      0.210715794213305,
      0.0327603458442005,
      0.000577745985462729,
      0.43173078667791,
      0.246313544196909,
      0.184471809771471,
      0.346292211433125,
      0.325524689926955,
      0.483110612946232,
      0.226984452999384,
      0.315489632110519,
      0.20526511808684,
      0.264901992485353,
      0.258999749460792,
      0.329484558759052,
      0.274290172336854,
      0.499073325480351,
      0.350976634844148,
      0.366275108565984,
      0.550186216456859,
      0.442039069920331,
      0.236489298250902,
      0.0739212682966403,
      0.0646736246153962,
      0.330666969587999,
      0.376091884247335,
      0.350590386462717,
      0.533491347385751,
      0.316883505217936,
      0.417763013541434,
      0.460127006463279,
      0.457971854220265,
      0.456318080279769,
      0.119720877062415,
      0.417365384003962,
      0.426574439524218,
      0.165910563861666,
      0.267030034701715,
      0.307110569576151,
      0.314209528747634,
      0.268565405736382,
      0.255171098847355,
      0.417183978205116,
      0.296016195206873,
      0.266731527466559,
      0.433268948443024,
      0.52512992370519,
      0.24301000702462,
      0.456226147729063,
      0.107325974029686,
      0.103051898519638,
      0.365896794525411,
      0.35440228308225,
      0.274808692859256,
      0.408827232306448,
      0.420726089646824,
      0.325269326056778,
      0.432100151596775,
      0.345733367834273,
      0.371744831424014,
      0.378835571688986,
      0.305374328623574,
      0.347189101509033,
      0.267249513468418,
      0.064991736549588,
      0.514459208333562,
      0.314302635754267,
      0.447763398018381,
      0.43598113875398,
      0.393574928787531,
      0.0993015352302971,
      0.201145075931037,
      0.201936765635725,
      0.247277058473464,
      0,
      0.266577620025039,
      0.477026399460628,
      0.219192973049956,
      0.334706385743904,
      0.382052152516532,
      0.397121690251421,
      0.199342113303221,
      0.322829046792341,
      0.145230651797185,
      0.524184321249291,
      0.310550275945855,
      0.39167775979019,
      0.26525949631952,
      0.183591974047244,
      0.289408912538802,
      0.231930359507911,
      0.210728271599193,
      0.375366815097423,
      0.0934772031370916,
      0.164099965808875,
      0.503889460857335,
      0.294226697390912,
      0.396242937930478,
      0.308743548954431,
      0.355458061520966,
      0.122023170888133,
      0.291891585566189,
      0.232797995316421,
      0.441640163076537,
      0.288308963914868,
      0.228028596820615,
      0.427078028669831,
      0.219573027526837,
      0.294867086533044,
      0.329451562635617,
      0.356374963658182,
      0.407090076144976,
      0.374929202305515,
      0.302618875051201,
      0.548506132677217,
      0.304531833781908,
      0.384954618355647,
      0.393132970429037,
      0.34547920298944,
      0.419774234503284,
      0.435288421046509,
      0.290493099411075,
      0.415374815287335,
      0.313880564924217,
      0.190970363744575,
      0.384224433565737,
      0.348687628861929,
      0.293884205526111,
      0.374448665814851,
      0.360178392926595,
      0.354506548226843,
      0.301134412326833,
      0.372529136824954,
      0.549596922535678,
      0.33261421889528,
      0.284421964152008,
      0.290761333555674,
      0.329542046036227,
      0.4028332140601,
      0.404017156965279,
      0.336336449014198,
      0.41586488402473,
      0.465743008650926,
      0.3213861660787,
      0.485132231473119,
      0.138810689728901,
      0.0988862850748651,
      0.33340568252466,
      0.301296385003598,
      0.144190928143232,
      0.118222909346133,
      0.177292642034201,
      0.48463753128472,
      0.345895341520735,
      0.37927569758845,
      0.351257870424926,
      0.179165427807438,
      0.207488467598618,
      0.403646354302142,
      0.260669051463984,
      0.161133110857584,
      0.172222853055937,
      0.0658255589138297,
      0.510864217056945,
      0.248149294358205,
      0.410388768036566,
      0.443121369524472,
      0.447321172724086,
      0.146853101819308,
      0.300352266233134,
      0.274088660879378,
      0.44545131815206,
      0.122945799009138,
      0.201585821184173,
      0.381081596561541,
      0.332584626673178,
      0.153656299895967,
      0.15340611602568,
      0.318324364096133,
      0.158258357779527,
      0.243058284080267,
      0.189975218006386,
      0.51259097596872,
      0.14540527206909,
      0.455236410903072,
      0.392741201118686,
      0.114457551727491,
      0.333958184834792,
      0.0777887409225632,
      0.217731038610233,
      0.338760619447882,
      0.369291376280918,
      0.182320195847217,
      0.434931034635861,
      0.0292369138301198,
      0.185657879847694,
      0.320590327730188,
      0.247307033805677,
      0.198893536875724,
      0.0622901905659961,
      0,
      0.527001394026293,
      0.0790533453995326,
      0.14169335185884,
      0.170475943032557,
      0.0901182640176525,
      0.227994734761101,
      0.217341947226749,
      0.232486602191249,
      0.171276995752749,
      0.102306472735295,
      0,
      0.283738929006059,
      0.0997882744288205,
      0.238265638686348,
      0.241599575281993,
      0,
      0.324205218674119,
      0.267173888859932,
      0.209404882291978,
      0.296137453617474,
      0.25823161123213,
      0.0821479306658865,
      0.221905611488207,
      0.245370882353115,
      0.359330476394394,
      0.309820995390408,
      0.345878753980132,
      0.264560701223834,
      0.23736700430071,
      0.17652256155617,
      0.330924972424927,
      0.28969461264449,
      0.157429799476705,
      0.355788057741368,
      0.207316497988408,
      0.440018167709059,
      0.272599852313557,
      0.241743843702269,
      0.311966231946033,
      0.372757094113149,
      0.355472405981935,
      0.377046376239602,
      0.257760632120024,
      0.329490688956268,
      0.080408261149762,
      0.350030361192664,
      0.161332926123386,
      0.298123530688998,
      0.11653318992515,
      0.33977297857476,
      0.277168874697604,
      0.210952129072694,
      0.255500317000855,
      0.260334988938591,
      0.155941558672421,
      0.107636184481891,
      0.16830017260028,
      0.164957857288096,
      0.25596665142591,
      0.185969247652888,
      0.32597001827037,
      0.284721658181608,
      0.454327349346036,
      0.341065005929259,
      0.212856750919328,
      0.407351855865953,
      0.44187890927303,
      0.208996487330458,
      0.263632924936262,
      0.321236666739692,
      0.130459560573324,
      0.386796127746065,
      0.259437607632949,
      0.508817711435322,
      0.419173394594101,
      0.305070432317167,
      0.420048099568062,
      0.207720331517966,
      0.363076350495474,
      0.364862234803525,
      0.239373105701602,
      0.36641294669968,
      0.350706596168512,
      0.380411985554052,
      0.453524529277875,
      0.310440398772024,
      0.44048574788719,
      0.394150384359274,
      0.216779212570428,
      0.375176848564777,
      0.378155984748924,
      0.17472534659883,
      0.497314483802636,
      0.494424952716318,
      0.348399683543716,
      0.339442156259162,
      0.069202746820857,
      0.115540443028806,
      0.318562690607643,
      0.213747574398059,
      0.413344077154283,
      0.301341670437662,
      0.507886785943971,
      0.484074252755231,
      0.0359203524746665,
      0.432888107989693,
      0.393596955500381,
      0.426908360275303,
      0.16439332488328,
      0.0923348928025059,
      0.33518936269259,
      0.485352453867943,
      0.470362998967642,
      0.459401427935497,
      0.2454997696523,
      0.473409310156024,
      0.241409505757221,
      0.468640079338069,
      0.227740322859406,
      0.205006216253958,
      0.0761641124760263,
      0,
      0.478791877783288,
      0.352270905575314,
      0.417804160665698,
      0.182580513420083,
      0.162297796216533,
      0.0828982931326983,
      0.402886537129381,
      0.369913623185466,
      0.459006009320848,
      0,
      0.299679772067603,
      0.372436024485516,
      0.47526805040213,
      0.302618534863442,
      0.141780582598779,
      0.21203164683273,
      0.287720383237715,
      0.326314811398656,
      0.461168146527831,
      0.531969066770805,
      0.329665153323343,
      0.463154730607042,
      0.470741585649454,
      0.400931847963406,
      0,
      0.0793133077654957,
      0.389315313115455,
      0.353567756128122,
      0.337344150484678,
      0.0962304826709045,
      0.476807271269771,
      0.448212484241118,
      0.358377429834219,
      0.479453524288516,
      0.339823128688423,
      0.222603062312201,
      0.273830306317855,
      0.38144367399708,
      0.500550671267059,
      0.0972361512938288,
      0.422572713896395,
      0.187875361471638,
      0.227004979117783,
      0.242996829531583,
      0.267361834806141,
      0.312537101445051,
      0.241913472957226,
      0.354305144554812,
      0.417183624584025,
      0.477999378103992,
      0.419391028006073,
      0.452346683424773,
      0.207754644837811,
      0.166420150508889,
      0.327985989950183,
      0.366839917959846,
      0.175270702307317,
      0.502377553025743,
      0.336448871559314,
      0.198984470219876,
      0.447909616231938,
      0.256164419331127,
      0.302496865926133,
      0.411234627857341,
      0.340303781907729,
      0.228578544617098,
      0.257872541235475,
      0.0333881745553407,
      0.504165202551698,
      0.335023350183037,
      0.413060203638529,
      0.448755470716311,
      0.457526527728541,
      0.0333335976761563,
      0.248013538857706,
      0.199095028093072,
      0.451162855613004,
      0.23175604817086,
      0.340897302901583,
      0.301844740064081,
      0.245972070790604,
      0.232197566770213,
      0.345020903775974,
      0.258094373658628,
      0.220753437396654,
      0.323578572350366,
      0.161956360529851,
      0.535903298700568,
      0.231549275215449,
      0.4427793826709,
      0.296742163543385,
      0.259501501187856,
      0.331953088000077,
      0.366734474201317,
      0.270958397505971,
      0.396496080143018,
      0.146571916958342,
      0.21012769283685,
      0.451783531558265,
      0.342129841574961,
      0.241742356383124,
      0.3418504202128,
      0.371368276204686,
      0.153247768878125,
      0.279434791431179,
      0.313845612411007,
      0.527761433497658,
      0.317203084897528,
      0.40233688691885,
      0.39353581441731,
      0.3321385530004,
      0.262616387677608,
      0.294543576570551,
      0.276575131888904,
      0.370467565304042,
      0.375971830958511,
      0.233454997324213,
      0.492359758275066,
      0.416483458224853,
      0.352916752048296,
      0.413902019831582,
      0.446874198405391,
      0.171751568189538,
      0.34208402703824,
      0.266809141032102,
      0.491708633371595,
      0.357938648322055,
      0.354860108799511,
      0.398307058485622,
      0.360904053544733,
      0.31855024274744,
      0.391952808566566,
      0.282530516591082,
      0.286567740084006,
      0.389948285427651,
      0.375402869003482,
      0.488692384072283,
      0.367703627567635,
      0.471533686232668,
      0.346577167813171,
      0.328283942675828,
      0.370620739642533,
      0.343218142504913,
      0.25661756468703,
      0.465473565415004,
      0.412174562954254,
      0.315244548864766,
      0.396847629937168,
      0.0688315468604207,
      0.156635771726509,
      0.430618024576917,
      0.285179531467104,
      0.168802505707671,
      0.368587573239441,
      0.289689751059921,
      0.507397670889582,
      0,
      0.436738882638672,
      0.436915305231855,
      0.422120772265398,
      0.181530901007933,
      0.0869423277574864,
      0.136211922494577,
      0.353823354346688,
      0.438960984460966,
      0.317326903802244,
      0.370473268379752,
      0.356623974926801,
      0.263389998606432,
      0.325603146671254,
      0.39428712789887,
      0.167216850864471,
      0.00950503890402123,
      0,
      0.548875750648658,
      0.212058887342779,
      0.434404703510876,
      0.230358049874563,
      0.169927494516155,
      0.0383875851875107,
      0.392524861495878,
      0.215265244416875,
      0.192039012350788,
      0.293140374928299,
      0.32627690102818,
      0.491527058288875,
      0.329696199225019,
      0.315282364382806,
      0.231201907739468,
      0.32585307378974,
      0.29448771838145,
      0.348851628192637,
      0.300825920366503,
      0.513856587612931,
      0.419104009156121,
      0.323256442610189,
      0.51509829642727,
      0.389102323369822,
      0.582784697320595,
      0.098785275630278,
      0.0441112111878979,
      0.304785857845903,
      0.345529246550919,
      0.350181431851842,
      0.507414244537368,
      0.426247533444718,
      0.424261952521033,
      0.471009826134728,
      0.444010605827175,
      0.426786485455024,
      0.254826037093124,
      0.3802316977715,
      0.461222698290179,
      0.212722760268238,
      0.245651594122856,
      0.271425243998405,
      0.290386547001335,
      0.255138229907374,
      0.232221995970666,
      0.385184087860499,
      0.304297194558081,
      0.331027029404771,
      0.387730861305513,
      0.514530825493498,
      0.37358093257766,
      0.481798436807196,
      0.187582337358183,
      0.146768792811913,
      0.318524759553206,
      0.319711133410732,
      0.220337870250531,
      0.389118304442761,
      0.352604066027924,
      0.260987529485864,
      0.468295536375544,
      0.285406670994002,
      0.312242288609852,
      0.411776098726947,
      0.342632666569283,
      0.257574843542653,
      0.269916806244328,
      0.0663819188771713,
      0.495814685387393,
      0.330416873983125,
      0.411588912657021,
      0.396155148688189,
      0.367461206863844,
      0.0478870021413984,
      0.220903934278333,
      0.238748021068325,
      0.404040340515912,
      0.131044752514972,
      0.28673822137151,
      0.470180207255821,
      0.263197620429827,
      0.339984018176378,
      0.415219026643076,
      0.42579009498097,
      0.229838475327044,
      0.332298034893314,
      0.153288169420164,
      0.535796546123055,
      0.277138150879803,
      0.347763919513667,
      0.312019348990914,
      0.259024797679037,
      0.283282132158783,
      0.34589881417625,
      0.275438058686737,
      0.368155706160608,
      0.299888521789076,
      0.228815863636949,
      0.509343282357803,
      0.382623435262774,
      0.422059285972466,
      0.261819213682843,
      0.357662732382167,
      0.149287112415903,
      0.277611626275142,
      0.286457441207139,
      0.469722759686742,
      0.294429965638552,
      0.189638598596448,
      0.377270695078403,
      0.362810086704795,
      0.271754532535279,
      0.414635489099334,
      0.37944288715961,
      0.402136588200096,
      0.415524456363932,
      0.28581053258926,
      0.524823068126766,
      0.427005518203791,
      0.312044855739092,
      0.363033508561524,
      0.333340236324323,
      0.217788817792659,
      0.406890381253373,
      0.298264231750294,
      0.391997585345103,
      0.334629589183722,
      0.195350439497159,
      0.428109471387474,
      0.430060393107843,
      0.279835521035805,
      0.434550728580528,
      0.331039788278077,
      0.310560133208952,
      0.429519001244465,
      0.351690446729978,
      0.525976768280441,
      0.416915379597386,
      0.46601225811968,
      0.382778116490165,
      0.307403473344772,
      0.341576910697833,
      0.375868150691006,
      0.274226677333974,
      0.19893436558099,
      0.425066517218103,
      0.272923877146786,
      0.477545097532359,
      0.0877571262528291,
      0.104079882358578,
      0.454025582221201,
      0.261549306218134,
      0.0929238387083519,
      0.202940549623046,
      0.178125988028348,
      0.502037048750977,
      0.337836455695305,
      0.336611503630786,
      0.335639055494491,
      0.179509240713431,
      0.294322928052377,
      0.382312513630644,
      0.268000073329741,
      0.145641059703762,
      0.143370118891534,
      0.122419551735794,
      0.505496022933587,
      0.139358178397905,
      0.427290895729868,
      0.446737161218677,
      0.43637645004093,
      0.233049283853184,
      0.302082302659767,
      0.261042184644764,
      0.47235452593606,
      0.164909679989041,
      0.200697454844338,
      0.335056950067789,
      0.158863642886467,
      0.180004458195822,
      0.178408718645008,
      0.260680183247415,
      0.138121520135847,
      0.0590915345756356,
      0.200690789911103,
      0.487580653705952,
      0.0919549470278811,
      0.450050921679773,
      0.393903941631485,
      0.149476923922639,
      0.355470723666755,
      0.0980374776570905,
      0.225937405602415,
      0.364979614367538,
      0.348477813271642,
      0.0930357744962097,
      0.438266712063801,
      0.137134981399232,
      0.182815967731138,
      0.236449604111677,
      0.208938834038192,
      0.1207548752662,
      0.110006476915518,
      0.0250177846747206,
      0.520338236926344,
      0.150843886634978,
      0.0336290263586522,
      0.174612718130032,
      0.119090394942915,
      0.241623988229387,
      0.260035206052401,
      0.169780718443114,
      0.163003673231318,
      0.115648335930801,
      0,
      0.297085931839568,
      0.0779637649740844,
      0.151818483636957,
      0.229078019747084,
      0.040371344062563,
      0.223787037491887,
      0.243457612867746,
      0.290778758969842,
      0.374941209654193,
      0.267306421937838,
      0.101968436293699,
      0.384105588504136,
      0.267428093135229,
      0.276866757250439,
      0.316198508835419,
      0.295982642421596,
      0.0836139546835876,
      0.261622474402415,
      0.0922409966521192,
      0.311718172778746,
      0.424131691091419,
      0.200643355787078,
      0.310402011737503,
      0.113002371245958,
      0.21557899937279,
      0.206612660914133,
      0.216708572602594,
      0.28938500381673,
      0.389513615763573,
      0.363376750765373,
      0.360954552424789,
      0.292735028627471,
      0.28110358485669,
      0.121739088632049,
      0.306967708332875,
      0.122559289316256,
      0.356962450840251,
      0.122316407169672,
      0.190346820271302,
      0.369949688058814,
      0.134264346907937,
      0.22795033309956,
      0.285210185877944,
      0.201846320270749,
      0.179219862687551,
      0.172977084208185,
      0.184691014782128,
      0.283547047039479,
      0.185521852746976,
      0.191005942809769,
      0.290340793586763,
      0.460495584538357,
      0.423884238497163,
      0.208267251142212,
      0.413334619717777,
      0.41654166104748,
      0.265607534117479,
      0.258775207081059,
      0.300123966285867,
      0.179613033183873,
      0.369143194898861,
      0.187461147230668,
      0.549545342141191,
      0.363676026470878,
      0.260654372399271,
      0.38120595495469,
      0.213958755796196,
      0.341122851532684,
      0.352694339054269,
      0.320864414590791,
      0.451341828101546,
      0.312180436360133,
      0.355520350540157,
      0.442129897958719,
      0.417136758961064,
      0.416337001381672,
      0.445104694762255,
      0.292783073987936,
      0.261041082141451,
      0.336199901897638,
      0.336340136922148,
      0.537813663246875,
      0.474155784392041,
      0.189288014126002,
      0.219170418016716,
      0,
      0.29883470871324,
      0.36095277195068,
      0.155383387510019,
      0.408108363607322,
      0.307041151026869,
      0.470180349281804,
      0.467417875945384,
      0.111736446643395,
      0.381781465399477,
      0.391935058871862,
      0.427687737259409,
      0.188602081923952,
      0.130066869258642,
      0.277886215505055,
      0.504652510231971,
      0.440536494083336,
      0.428441107037226,
      0.249736946083201,
      0.497543054652409,
      0.310899094843038,
      0.454690934003096,
      0.266508653728755,
      0.164607286295611,
      0.0405982907144143,
      0,
      0.562375181561176,
      0.295352244933175,
      0.420910808333987,
      0.205415940099492,
      0.153528589150988,
      0.0625321165487861,
      0.374315041542791,
      0.0283507560470121,
      0.490380563897787,
      0,
      0.482197957212455,
      0.358732333525908,
      0.443614958323914,
      0.297438447909445,
      0.106918246551201,
      0.20721332492363,
      0.402100172626672,
      0.343891198332559,
      0.395679974052921,
      0.578914997299763,
      0.382569933121207,
      0.442704421637386,
      0.430029382131272,
      0.404196251809319,
      0.00211141626149625,
      0.147266907955812,
      0.324917115107184,
      0.366195181300399,
      0.325911714226292,
      0.108017461284003,
      0.473693690574791,
      0.420065580747652,
      0.395715019987857,
      0.405702298913203,
      0.353267598805941,
      0.281720522021799,
      0.378501867333929,
      0.356007818733453,
      0.52893178130818,
      0.156891282546621,
      0.430462668781287,
      0.203140880724908,
      0.233214426665675,
      0.250610442964546,
      0.221624585931798,
      0.274500752813228,
      0.201001869960616,
      0.420953906462543,
      0.204046421940886,
      0.48274998489536,
      0.394082013960568,
      0.420772616450486,
      0.171363514646082,
      0.152306680815371,
      0.240430293208251,
      0.299854560604977,
      0.305032330698925,
      0.50126419103849,
      0.312301350547941,
      0.267968693071776,
      0.388382935708332,
      0.290851656575997,
      0.309146391273467,
      0.385929615416964,
      0.3399059643502,
      0.416277159969648,
      0.434612918058667,
      0.130450081593542,
      0.517169018989874,
      0.364618978525668,
      0.415771131604736,
      0.464721496810901,
      0.452159492651095,
      0.0435939580631909,
      0.406994868298668,
      0.253118797511089,
      0.462236556648029,
      0.240609908581521,
      0.254129157549385,
      0.274996425012569,
      0.254643331286476,
      0.185202049850505,
      0.353169540518743,
      0.34478754204111,
      0.189403935114646,
      0.315476747354293,
      0.0848577693420688,
      0.579490883929086,
      0.202896123151245,
      0.442906880299108,
      0.314866716547237,
      0.262793230993315,
      0.360700251225696,
      0.423682250006773,
      0.307554333890783,
      0.421505317629633,
      0.185441055930608,
      0.280340194361263,
      0.465525138466511,
      0.350113127435106,
      0.251272792727412,
      0.304263382082365,
      0.377429905231987,
      0.153539136774018,
      0.325472347299593,
      0.351615157026055,
      0.557994048226922,
      0.351122777381531,
      0.408254221154989,
      0.398720471332931,
      0.378463929844515,
      0.198695407850923,
      0.193719041112936,
      0.277862222740765,
      0.301543703235157,
      0.417275677368937,
      0.228396271325368,
      0.517394235068422,
      0.451835046700257,
      0.359766404646637,
      0.415700690695824,
      0.443451795423701,
      0.19210190529128,
      0.390053701143325,
      0.206110544112383,
      0.503459011882754,
      0.282494258620051,
      0.37864164051745,
      0.436514157811114,
      0.34805803589167,
      0.319975078612626,
      0.399011054678595,
      0.351923024407197,
      0.407550662903488,
      0.297113732739322,
      0.307984784229402,
      0.515721346640022,
      0.439620143764639,
      0.434962738752767,
      0.406146271006198,
      0.329853477836917,
      0.27776859216717,
      0.341447941001368,
      0.279151444643099,
      0.471835868726974,
      0.339332187251112,
      0.246029880885178,
      0.26620013445723,
      0,
      0.265286016321254,
      0.392942210552153,
      0.1494323546161,
      0.138121019198371,
      0.249467478056379,
      0.280083881767613,
      0.558337393212148,
      0.135711093836278,
      0.436189417148191,
      0.439864416253644,
      0.425769014778842,
      0.454742214075825,
      0.144708796584461,
      0.101982619137699,
      0.403123446755841,
      0.371147103904876,
      0.283877366806053,
      0.395786115555724,
      0.378914971386588,
      0.360568215810498,
      0.315995633463003,
      0.345261182129091,
      0.115645145195082,
      0.00641518520259205,
      0,
      0.565458485386456,
      0.194810255935168,
      0.442541554319763,
      0.199159056116438,
      0.205359894557155,
      0.0028300523965399,
      0.296667020956691,
      0.0596855380846193,
      0.524706590205186,
      0.302565244590504,
      0.446154458820482,
      0.522417997645256,
      0.314089218009069,
      0.329378721262303,
      0.230599986199929,
      0.389707519493676,
      0.419575063925259,
      0.306420182833369,
      0.247304232587356,
      0.515192326840793,
      0.370863428315021,
      0.340528609751235,
      0.320521880292623,
      0.219329662985034,
      0.557795973032749,
      0.118596032006758,
      0.0998993999511399,
      0.267277266698102,
      0.277476788223112,
      0.294840194057286,
      0.583029420321301,
      0.397154786115099,
      0.444298492533332,
      0.436823221181219,
      0.445671217867567,
      0.365383247764831,
      0.238638895215823,
      0.259256563302422,
      0.458700866373914,
      0.19659975386967,
      0.251937851475256,
      0.271927966313783,
      0.279079478305108,
      0.247064229385476,
      0.236850144236542,
      0.328863896427237,
      0.329042898141915,
      0.395746041957799,
      0.238232275743126,
      0.540383180063871,
      0.367371280283194,
      0.45711107056155,
      0.167016385711279,
      0.116016132261714,
      0.200408344619285,
      0.337236580752236,
      0.317089890730849,
      0.387936072717625,
      0.316606450946941,
      0.302102674948027,
      0.4571332264837,
      0.315138284254863,
      0.34515192404816,
      0.409592152663618,
      0.319989372409406,
      0.412462055592654,
      0.429952830589923,
      0.13522722737589,
      0.550267606151515,
      0.35825336851764,
      0.413913666355917,
      0.441029196526168,
      0.36395905711966,
      0.0765175567307913,
      0.359149542161859,
      0.364947506380426,
      0.374399314154496,
      0.215036515153085,
      0.18729794071153,
      0.487014950315697,
      0.245710685740395,
      0.355730505821723,
      0.413440811024177,
      0.438158311609234,
      0.17441699499243,
      0.298450474673171,
      0.0519520123967148,
      0.531006091385022,
      0.23890455155427,
      0.37301955489964,
      0.317663848182258,
      0.24162171964411,
      0.305496935809124,
      0.411661407443155,
      0.297582888330453,
      0.349693995088892,
      0.329792259920972,
      0.216199552460174,
      0.550628070942674,
      0.374893995505864,
      0.421342139282058,
      0.222171809877454,
      0.355251000748254,
      0.137600984544204,
      0.365894489149914,
      0.420085486864624,
      0.474199940396293,
      0.32286269684479,
      0.295492647571386,
      0.350340894267321,
      0.390590143346635,
      0.382826122177697,
      0.413039014053798,
      0.278710122635034,
      0.374992427502626,
      0.421990222405813,
      0.481762535789209,
      0.561027146509926,
      0.460942591709685,
      0.319921816498915,
      0.321377638982419,
      0.311789542060398,
      0.339120465516616,
      0.400084188694127,
      0.268518767964914,
      0.381511780720567,
      0.30561192084037,
      0.164442615946868,
      0.402925398632173,
      0.423804155220377,
      0.333670406574758,
      0.391860598052063,
      0.308504021265673,
      0.403874151513014,
      0.360243009294896,
      0.2738556583757,
      0.527540822700206,
      0.456095210362461,
      0.401802990578825,
      0.423132865731978,
      0.380432039910408,
      0.251975891449055,
      0.334625360048638,
      0.27434916527921,
      0.330689987921502,
      0.148250575247449,
      0.23095547895977,
      0.49996546172123,
      0,
      0.228840705517593,
      0.4077415710252,
      0.133090134613134,
      0.153434614133694,
      0.198409761919619,
      0.109604038540324,
      0.51798208580235,
      0.24226087070468,
      0.338105570187427,
      0.333775368684835,
      0.223699789774172,
      0.324306087739299,
      0.368973981254491,
      0.179101561295419,
      0.175945124019948,
      0.1773896764146,
      0.0446022530021356,
      0.538405152584982,
      0.190611639957656,
      0.423200146289564,
      0.44494483621386,
      0.436884575204541,
      0.24919258802584,
      0.238589036147195,
      0.266995272949986,
      0.474425383915394,
      0.153754622009973,
      0.234028823578206,
      0.329354788189718,
      0.157963387425127,
      0.182248711478057,
      0.185624384811298,
      0.241185625823845,
      0.166861917359277,
      0.215253864944754,
      0.359208877237548,
      0.546180546549638,
      0.0830145149803819,
      0.447376220850614,
      0.390293957405932,
      0.177891795444699,
      0.318956960714202,
      0.165244689148856,
      0.124651846481383,
      0.383531168010891,
      0.27351505347218,
      0.0513382855927385,
      0.451165229261688,
      0.0296036145755362,
      0.16974171965062,
      0.207556701535605,
      0.16527791697146,
      0.107678275597162,
      0.0736790756650978,
      0.0134007055381115,
      0.548754779875581,
      0.143795941915328,
      0.0517115138555415,
      0.18629263285099,
      0.115772590321882,
      0.193388033286213,
      0.239838297064513,
      0.101171788334965,
      0.108948489033379,
      0.103807088288163,
      0,
      0.24541143677808,
      0.0594729321768713,
      0.20036347792261,
      0.228429759856105,
      0.0728531374968965,
      0.167411832385372,
      0.256380618938602,
      0.260439888984387,
      0.317489225178878,
      0.220166158992318,
      0.137894612743709,
      0.295604661905392,
      0.208050186337199,
      0.179380884453825,
      0.288170501058001,
      0.265710594129611,
      0.287531161231013,
      0.303628426151918,
      0.176452771563604,
      0.19928649214289,
      0.350268184672954,
      0.194034023495982,
      0.197353091723428,
      0.135653641716087,
      0.249386259749917,
      0.203723056483014,
      0.189344607310025,
      0.323412762759666,
      0.370678396945914,
      0.293161085482954,
      0.287019799410708,
      0.323047698068066,
      0.294134492516149,
      0.0327209683560795,
      0.211010053972877,
      0.145923179168775,
      0.266051512040026,
      0.0854651199727219,
      0.243034701174428,
      0.271722760658442,
      0.204613604366592,
      0.166509735241421,
      0.386570736530052,
      0.235030348627895,
      0.151581320558178,
      0.248470182728499,
      0.293805018284903,
      0.189180577890707,
      0.160934773893275,
      0.191614647203913,
      0.203139653786396,
      0.426703311817273,
      0.370571800975176,
      0.162203298936118,
      0.396720259134866,
      0.228653684161507,
      0.33690325676329,
      0.320090868410419,
      0.220610253397376,
      0.217459859557158,
      0.282147664883573,
      0.170878414830041,
      0.555373893834593,
      0.281424922451488,
      0.274802655200969,
      0.28744588307383,
      0.117831633225139,
      0.333465776033947,
      0.337261713366418,
      0.389417609368111,
      0.489523291565552,
      0.324910838874572,
      0.328181035113869,
      0.44439192754031,
      0.350100093678355,
      0.324462355327359,
      0.387456674443793,
      0.263081600611375,
      0.324245005494519,
      0.328759650309569,
      0.305378400018144,
      0.549722964050138,
      0.182809736733006,
      0.342464771826225,
      0.325628443717229,
      0.012924065288596,
      0.212627427100628,
      0.420515900054954,
      0.30769829906205,
      0.211508100510774,
      0.333349864331699,
      0.136101033430248,
      0.457659021380772,
      0.0462789061565289,
      0.415324720299688,
      0.358295307801185,
      0.370125853829667,
      0.168008553968093,
      0.0772365955284562,
      0.252515085463817,
      0.487032094869355,
      0.176829500946578,
      0.292897349141434,
      0.256489129827177,
      0.383292304489411,
      0.295729647893067,
      0.284912756586617,
      0.221426870627523,
      0.422427644373868,
      0,
      0,
      0.591893364975376,
      0.310559417492517,
      0.367387276077353,
      0.230104118458794,
      0.0683306641161343,
      0.381478974282957,
      0.351841492531552,
      0.33213185253775,
      0.444198112071312,
      0,
      0.356121114953262,
      0.361997042405391,
      0.217606221315028,
      0.312149492696897,
      0.04312326576521,
      0.211532928200343,
      0.311061054086064,
      0.313413918256502,
      0.290312526248856,
      0.585172762310407,
      0.356006545660137,
      0.396213793885309,
      0.566929344308304,
      0.348860966025725,
      0.0566901509607801,
      0.101990189944326,
      0.287607200069669,
      0.416894647498591,
      0.314690885609193,
      0.214187820390811,
      0.501060483498707,
      0.232526905699634,
      0.295652500023345,
      0.261155284819537,
      0.304246257024412,
      0.368469143668122,
      0.287814988099559,
      0.250583112877818,
      0.530759766717731,
      0.0740052328422003,
      0.373456769134522,
      0.182663534307753,
      0.161466961787156,
      0.345926008039196,
      0.445805679942485,
      0.461526290777623,
      0.293824515212214,
      0.396768177928171,
      0.1923452211591,
      0.476530661344144,
      0.356544037297797,
      0.307369931678647,
      0.143578584214377,
      0.114464354327882,
      0.372292348875372,
      0.390392428873721,
      0.224862966316444,
      0.503439655847779,
      0.329885059097207,
      0.274185404514944,
      0.310847825360402,
      0.354412040316275,
      0.282007171278502,
      0.409979655115328,
      0.294905719444169,
      0.332884714267809,
      0.351772590933701,
      0.0975478533038614,
      0.518832002347706,
      0.327412597329811,
      0.353327152499218,
      0.416952355362752,
      0.404671899928588,
      0.0701408827271057,
      0.350101924384859,
      0.251922832530307,
      0.441933025392649,
      0.168738127864032,
      0.273829369391336,
      0.29781400116148,
      0.291101393441424,
      0.158715717164007,
      0.251866766729999,
      0.365771096078366,
      0.169110444312935,
      0.2930127255099,
      0.105737697738628,
      0.587288601122485,
      0.206846212809836,
      0.391802762340382,
      0.299979641951458,
      0.264254249009459,
      0.294300449896027,
      0.3073996906766,
      0.339745907046879,
      0.38864225530584,
      0.108279575501804,
      0.202215098064689,
      0.402120713665373,
      0.304842120797901,
      0.207283732226373,
      0.308814377971368,
      0.251194388588974,
      0.15105166845324,
      0.249703358688466,
      0.320981053033467,
      0.559610449304716,
      0.325512107233086,
      0.342619694707494,
      0.338142601498944,
      0.275773714608033,
      0.222057698285407,
      0.203925356138509,
      0.198351281398238,
      0.244454810336424,
      0.320685265653039,
      0.174007534554796,
      0.492495097430366,
      0.214496052675697,
      0.33247962325287,
      0.35683679903933,
      0.363316972583036,
      0.22125535847496,
      0.278923500573445,
      0.179480205836431,
      0.5087429581669,
      0.294150735951784,
      0.321228531674459,
      0.36130652489868,
      0.185686356731223,
      0.322772403783314,
      0.386721367320836,
      0.381747711408829,
      0.452669447299547,
      0.296589308939728,
      0.2616811091231,
      0.493316372210246,
      0.3681876369336,
      0.384624918760716,
      0.33750630541248,
      0.220868363441148,
      0.366887829766637,
      0.321446053866812,
      0.294076202303534,
      0.437526758543182,
      0.274657656196619,
      0.33838826350141,
      0.335281575114238,
      0,
      0.210261690811461,
      0.408143983579226,
      0.248732518342449,
      0.143552705392114,
      0.335770288686324,
      0.459245996201116,
      0.562539205122467,
      0.0500604746740236,
      0.373411498975366,
      0.38628448748593,
      0.368192337765108,
      0.376225539983112,
      0.112648295499134,
      0.102475968672914,
      0.363487829399088,
      0.192496633112145,
      0.191908450301004,
      0.365330304094938,
      0.380854593337886,
      0.28398145856194,
      0.254641069346476,
      0.324736219324848,
      0.242264106121262,
      0,
      0,
      0.562583540772218,
      0.187611122244901,
      0.368026131975521,
      0.184091666917622,
      0.085227401531639,
      0,
      0.395724940318844,
      0.370324152820598,
      0.408784735719387,
      0.27456543464448,
      0.37706953599292,
      0.49864778950518,
      0.223685815105148,
      0.295875694990438,
      0.300087008814157,
      0.351402764637914,
      0.431620645579867,
      0.208158517843554,
      0.360167452185505,
      0.513524569373402,
      0.32553839656885,
      0.284264839031174,
      0.466834235289102,
      0.628092569383631,
      0.291761006494668,
      0.115001334787846,
      0.0658603171225292,
      0.430195211143329,
      0.282535574172711,
      0.308349544836987,
      0.546582106705653,
      0.233718222763623,
      0.368815569129865,
      0.378947478170965,
      0.394934996115572,
      0.370041579222082,
      0.209820349935261,
      0.243653816660599,
      0.429546100950705,
      0.126174340081866,
      0.244622854891274,
      0.359704651979891,
      0.232603340785026,
      0.345707524976842,
      0.443339975473354,
      0.46413514608732,
      0.389616919123959,
      0.401207018114798,
      0.207548591955291,
      0.527690515033355,
      0.281173943485969,
      0.388544814088698,
      0.150597006173477,
      0.115865702756956,
      0.367760058899267,
      0.357048034036528,
      0.261577844313565,
      0.371042582741716,
      0.315521269533832,
      0.293875472199601,
      0.428811419237954,
      0.342546815169245,
      0.296299329588228,
      0.371906523158066,
      0.256694453123128,
      0.330384172389608,
      0.346877822733621,
      0.0983221200874205,
      0.562572971959218,
      0.367528807962565,
      0.35223258592721,
      0.383547934231857,
      0.329518613313111,
      0.0771124770018743,
      0.317069723225092,
      0.31210928768581,
      0.250050893716702,
      0.16161891243625,
      0.204228571555112,
      0.468156399871887,
      0.278913303736286,
      0.294985710380422,
      0.34745799485367,
      0.400932043692498,
      0.212690760082475,
      0.301203934684377,
      0.0709624007905647,
      0.516228514356952,
      0.214727120572864,
      0.307455546195813,
      0.277717600649165,
      0.219141272084873,
      0.280749725470591,
      0.294455078070678,
      0.30864738108749,
      0.349494846584497,
      0.202347382383792,
      0.199492018879289,
      0.543197381143444,
      0.315773912238949,
      0.354098648172362,
      0.278157746173952,
      0.279960079432926,
      0.149122146383589,
      0.27426846863752,
      0.373696338106869,
      0.443239863309582,
      0.299786940829493,
      0.302217618160767,
      0.42965537463318,
      0.379333748056327,
      0.473371041158162,
      0.310398728769206,
      0.294396672635886,
      0.309089028699181,
      0.345929977390171,
      0.39513411968618,
      0.557242173926982,
      0.338612043381898,
      0.305899730435056,
      0.308685563098312,
      0.33959154622812,
      0.282237783241489,
      0.346171522995039,
      0.244713700401284,
      0.394542952654237,
      0.332037937049117,
      0.138381162621391,
      0.440951466249939,
      0.348688567199771,
      0.351954234719286,
      0.351350365466313,
      0.383321015659638,
      0.448044014659176,
      0.284070471837154,
      0.29443091030331,
      0.533134627596522,
      0.372301711041678,
      0.274412230983841,
      0.36818305773935,
      0.234602510947,
      0.397462794943367,
      0.275608913378447,
      0.285956545409577,
      0.25607187112202,
      0.231018793607149,
      0.302074691824393,
      0.472439001846462,
      0,
      0.252822701748591,
      0.387411464516114,
      0.264762076416426,
      0.14839824421363,
      0.164521216134784,
      0.0728012037966102,
      0.517124454529228,
      0.199632153105107,
      0.270524418958118,
      0.28055743922144,
      0.187949314275079,
      0.193977097105242,
      0.214566984198558,
      0.157820888468906,
      0.104499725820094,
      0.169237986750193,
      0.0239546487528442,
      0.532108011040773,
      0.0893890491511101,
      0.362365702900188,
      0.380581015973045,
      0.397457364332455,
      0.219047488343655,
      0.204805394126844,
      0.254060494281982,
      0.434143684139979,
      0.124762843268695,
      0.187417012886136,
      0.364391369722337,
      0.162202843666103,
      0.154877955211951,
      0.149329170903868,
      0.237469794413389,
      0.11573359139138,
      0.360459245677141,
      0.301104369343595,
      0.55309431521353,
      0.0715458147251142,
      0.397700332417684,
      0.364470307779004,
      0.171709184717912,
      0.211455676994274,
      0.103920091146915,
      0.165269561680632,
      0.350862546442077,
      0.25826381246448,
      0.109896133193466,
      0.416526011908137,
      0.0695317391469368,
      0.122833213956992,
      0.154528063688965,
      0.1190847936579,
      0.156406322238169,
      0.155451926063053,
      0,
      0.552889311114872,
      0.134533092870644,
      0.0356618587448748,
      0.225431122090124,
      0.0918772722036283,
      0.140126827434493,
      0.130147228580969,
      0.194407844588471,
      0.154266750676238,
      0.0747674063097554,
      0,
      0.204147051409813,
      0.0604619381292161,
      0.131646277638984,
      0.173684422275873,
      0.106034025637937,
      0.213888479613811,
      0.284687273347939,
      0.215825506159395,
      0.293437105778363,
      0.253213965253812,
      0.16148671397464,
      0.289801931349976,
      0.104666206835925,
      0.250194056930024,
      0.314415673552071,
      0.259422172891064,
      0.32107084732683,
      0.214062805310495,
      0.21012424122161,
      0.130036312223781,
      0.212710715037612,
      0.178510625853027,
      0.259606049373639,
      0.0252578905688145,
      0.259124206747978,
      0.152367131520543,
      0.182668348373467,
      0.205517218778375,
      0.316520493439877,
      0.311379755417566,
      0.364643886608461,
      0.277285404889999,
      0.257982304277362,
      0.121120823904019,
      0.243241566578394,
      0.143461648308696,
      0.298264810040008,
      0.141921400875525,
      0.251369938096544,
      0.19175231185997,
      0.182763362846342,
      0.238475509541774,
      0.438842278698277,
      0.186509330286714,
      0.226509942884385,
      0.177070758337804,
      0.208583349929364,
      0.225717738168663,
      0.148213485192071,
      0.192342687966322,
      0.239515752000305,
      0.406772600027196,
      0.312782042965596,
      0.198098015946771,
      0.397312231829768,
      0.29188679375983,
      0.159974419742528,
      0.251572735287969,
      0.289597229624938,
      0.0594999404915138,
      0.368463833850032,
      0.181649833125265,
      0.528590922931669,
      0.331470328061136,
      0.237233729194434,
      0.339630410689601,
      0.174733847029347,
      0.321890141999362,
      0.439974389136091,
      0.480525973081181,
      0.443183446167447,
      0.263987140583634,
      0.323414743915447,
      0.451862729567887,
      0.333392083607901,
      0.377793794128701,
      0.344655929773136,
      0.250955572819264,
      0.308907415599881,
      0.310382267191178,
      0.28536809344542,
      0.518720992093868,
      0.241652870483152,
      0.305850429301883,
      0.283080608727893,
      0,
      0.173512441559106,
      0.373917476761339,
      0.243152712907652,
      0.306562832525024,
      0.280930920804542,
      0.37752338162498,
      0.510922588141289,
      0.103739919704281,
      0.452328377976959,
      0.347441429892714,
      0.365485945493503,
      0.187656582911961,
      0.104478714102385,
      0.224770620185881,
      0.477684335404757,
      0.188342422933255,
      0.341195918034746,
      0.228930058219372,
      0.339284060923954,
      0.209290516269288,
      0.337894305106607,
      0.169389285427251,
      0.385542324496621,
      0.0565898763794562,
      0,
      0.57382996626915,
      0.387336863902921,
      0.371936650894199,
      0.200706234752404,
      0.131561042559615,
      0.336695511580581,
      0.311068074873533,
      0.276725732379499,
      0.431076814199206,
      0,
      0.280452706527818,
      0.343246896715642,
      0.334269662754414,
      0.30762550297458,
      0.0822034917154693,
      0.233712047448675,
      0.229239947903799,
      0.220289013239926,
      0.340220133520958,
      0.556187262593658,
      0.346954811876267,
      0.365001279163116,
      0.519926775335737,
      0.354620029207725,
      0.0410403565399593,
      0.0722653058646038,
      0.327378139595372,
      0.381951501445794,
      0.235216601381685,
      0.196558008609475,
      0.471044124262592,
      0.363495909602285,
      0.199562382294024,
      0.385646671336273,
      0.275480718933607,
      0.33659461497335,
      0.189165519686624,
      0.249469682184293,
      0.517547801088888,
      0.0870208293294087,
      0.372314940206134,
      0.173022270842995,
      0.187587974248825,
      0.305053291960514,
      0.401057067660743,
      0.415471822793291,
      0.287978480275912,
      0.321254932601167,
      0.294334369692165,
      0.487148505764212,
      0.349847310038475,
      0.361556992968206,
      0.162541872653637,
      0.133915437453537,
      0.328467879207198,
      0.360246827976079,
      0.288087688197489,
      0.484904755554156,
      0.244794732871248,
      0.21191719559783,
      0.352128880680187,
      0.403969336767457,
      0.296646542175414,
      0.413061591920104,
      0.284717248123744,
      0.169988435942119,
      0.211763337292903,
      0.0860139350717554,
      0.548174539573171,
      0.349992199427513,
      0.347987108856553,
      0.382193767457525,
      0.408774006059913,
      0.0719825258509156,
      0.309544918693813,
      0.122475653179802,
      0.433639269395811,
      0.279593302924225,
      0.279458709994891,
      0.359045111262693,
      0.276258191712929,
      0.211403436223037,
      0.185569457365893,
      0.210416140186064,
      0.196151430927021,
      0.274935792284375,
      0.0870892057258727,
      0.552787117664685,
      0.153963286198504,
      0.383145712419299,
      0.210758024177464,
      0.265987892974064,
      0.309611831112641,
      0.352968403053713,
      0.328505290571707,
      0.375921578533883,
      0.207536851273344,
      0.119422440160895,
      0.409349455463538,
      0.320256168166028,
      0.176253763507138,
      0.275622337734626,
      0.216896807150874,
      0.136114300456974,
      0.190822019524773,
      0.426524980134178,
      0.526668906102087,
      0.269569590782052,
      0.349563273542735,
      0.357461203741742,
      0.309595922269535,
      0.211109467520254,
      0.308386767236962,
      0.226123135297874,
      0.37744522605683,
      0.307141133135813,
      0.176991707353454,
      0.478400426566945,
      0.276365331914507,
      0.294576918437103,
      0.336284562674178,
      0.369571839334458,
      0.165989060717739,
      0.295145670583821,
      0.197356694500063,
      0.470457102450515,
      0.327266245738718,
      0.313144690297069,
      0.352164334627813,
      0.261277065006295,
      0.29067847660412,
      0.477167561232467,
      0.507184295581015,
      0.378351618811689,
      0.357728730233612,
      0.311340092686868,
      0.506709922251886,
      0.373367122682182,
      0.406100813413666,
      0.326828189987678,
      0.273343198269557,
      0.335075110732904,
      0.34252997833856,
      0.211216564884438,
      0.430230633221504,
      0.264174159498364,
      0.306935655549791,
      0.344827927687113,
      0,
      0.210678897451604,
      0.372362007413679,
      0.219591196944195,
      0.158990203133933,
      0.411402705698857,
      0.42220805373113,
      0.548330818419286,
      0,
      0.365637506362307,
      0.38864044181037,
      0.370093991237995,
      0.221288466769768,
      0.120672038200113,
      0.115862898246337,
      0.343507967647767,
      0.314143464312286,
      0.239400995741534,
      0.380622027026325,
      0.397686670102478,
      0.271045725205435,
      0.217463998889342,
      0.336221373915741,
      0.216814589241471,
      0.0214241436374723,
      0,
      0.524869399017229,
      0.174392507351508,
      0.408782392145054,
      0.183080753239674,
      0.0874424755736146,
      0,
      0.350207583793537,
      0.356428458469393,
      0.13533499551889,
      0.220613689860664,
      0.285089590512961,
      0.49683735590057,
      0.285096528309378,
      0.262566566115516,
      0.276584443236369,
      0.362015111262195,
      0.398711408926031,
      0.233845129699361,
      0.358486990577787,
      0.476758556732832,
      0.273085826291709,
      0.319669378677537,
      0.430406829244179,
      0.582310167149923,
      0.408416991209917,
      0.126375638497328,
      0.123428312090647,
      0.339665295798659,
      0.244791199040905,
      0.264769908081521,
      0.494619153456687,
      0.37115115030017,
      0.371758372675775,
      0.362181240255495,
      0.382943185919657,
      0.323958472757801,
      0.227131586548895,
      0.217001249695157,
      0.425464769172189,
      0.0839566192141886,
      0.327527027141104,
      0.36497818430537,
      0.25821847949962,
      0.331363354506395,
      0.398533358026331,
      0.416276797562698,
      0.402131453767176,
      0.370993472354802,
      0.272354938042315,
      0.540132102188317,
      0.336202331250152,
      0.405698994424413,
      0.158362922466211,
      0.0820899033906861,
      0.326493825658058,
      0.326416463849292,
      0.313396650492634,
      0.391367319448235,
      0.253821284634834,
      0.232052752662827,
      0.406422633136242,
      0.334979355381694,
      0.271361472586914,
      0.34469898004978,
      0.281675740906527,
      0.197406226714766,
      0.225238604044824,
      0.108626268303694,
      0.518522286980517,
      0.360463440791586,
      0.362063594951703,
      0.379139819704621,
      0.355799103246164,
      0.0675166679995994,
      0.192370473467024,
      0.164395798777864,
      0.366324786627767,
      0.214393302932526,
      0.188954210685964,
      0.476763809827332,
      0.264354184889338,
      0.303193455747388,
      0.357094970908755,
      0.359819334573106,
      0.23450120913163,
      0.261914404547424,
      0.0758208517610726,
      0.468580306936701,
      0.169276194936385,
      0.320021092521952,
      0.23305538767304,
      0.210219351803733,
      0.285025167489394,
      0.294486665251421,
      0.335347138411858,
      0.31881539503868,
      0.26527620539599,
      0.154323337754831,
      0.552415984077538,
      0.361189942057613,
      0.366970010290959,
      0.252536509106455,
      0.250247442288336,
      0.146543682692303,
      0.170806594098596,
      0.21465849201624,
      0.424514477851452,
      0.299555265901165,
      0.324572938124472,
      0.429096321167336,
      0.46091768813471,
      0.421344955073422,
      0.38202565122497,
      0.314318126367257,
      0.420438980931406,
      0.393445795591911,
      0.330092199395872,
      0.540464280838784,
      0.286619111460415,
      0.234436033413283,
      0.317682046141803,
      0.280541167425319,
      0.237988956358832,
      0.282254755433231,
      0.223431895577126,
      0.358214568066805,
      0.281516726707225,
      0.133585937858729,
      0.47764185425666,
      0.318312873563256,
      0.306562276538458,
      0.455924967183471,
      0.474156322867891,
      0.364138038528895,
      0.374832324160378,
      0.337475416304435,
      0.530979140328469,
      0.360306736607525,
      0.386115265245411,
      0.340770216553774,
      0.274678399961477,
      0.345817051385016,
      0.298943177873385,
      0.25304385586512,
      0.191343145732488,
      0.188627638909828,
      0.254321094328709,
      0.412126497947266,
      0,
      0.223256881448649,
      0.377942908206105,
      0.218852195445431,
      0.106533067692041,
      0.139073344423493,
      0.0515428001103306,
      0.478052714927623,
      0.226222344804039,
      0.309202516111152,
      0.285927745930239,
      0.203286648970717,
      0.26309547223781,
      0.23195072064595,
      0.191582138022676,
      0.0994096521330058,
      0.161740681902536,
      0.0320218468481968,
      0.54583730197534,
      0.177999019251368,
      0.361993960975341,
      0.375460838459272,
      0.374194439592297,
      0.205514354700839,
      0.225439329900782,
      0.277008489820349,
      0.411421981753788,
      0.14238295627454,
      0.220185955518567,
      0.314710048208491,
      0.0883628544288506,
      0.133952435096525,
      0.0817449719914188,
      0.166682904023049,
      0.0731652787200116,
      0.270158140061385,
      0.114603953058867,
      0.570462015013985,
      0.111537252019221,
      0.384709683605634,
      0.343700545075787,
      0.126970863506612,
      0.263795393065621,
      0.123050768722851,
      0.215487930865629,
      0.340747707894767,
      0.293454619182355,
      0.0779090758893403,
      0.419155054782446,
      0.0784420893626379,
      0.154016155598627,
      0.160197900592648,
      0.193932286213861,
      0.215186627383624,
      0.182815178580056,
      0,
      0.527115849939058,
      0.159068056496397,
      0.107367565166946,
      0.21757785840524,
      0.0816538907119089,
      0.127436649889096,
      0.121988325224024,
      0.116862758540154,
      0.137574292274545,
      0.0364170326941,
      0,
      0.222534612995385,
      0.0705650555557862,
      0.146374835999185,
      0.195018238253139,
      0.0763212818755365,
      0.204306477053265,
      0.288847464564337,
      0.225150895159189,
      0.415056195369247,
      0.248722592357681,
      0.137377040606951,
      0.353031727955926,
      0.0836933576647576,
      0.193057152585419,
      0.35072044550084,
      0.262617775908039,
      0.093438530111002,
      0.18149752897799,
      0.134556668373154,
      0.168320575781496,
      0.280022074955278,
      0.170084946866747,
      0.25898613519616,
      0.0692421483730814,
      0.120057366646978,
      0.0939028567851775,
      0.176364791805467,
      0.181436640440837,
      0.319451229295135,
      0.328352769163318,
      0.3680928850168,
      0.288594739150941,
      0.276326710688988,
      0.163258378571726,
      0.201893442976865,
      0.174290498434155,
      0.326555921556431,
      0.129726071293826,
      0.200081016637962,
      0.232070443659387,
      0.100426439190371,
      0.224289465809953,
      0.407157831733004,
      0.108595222762366,
      0.203383097420856,
      0.151474969213102,
      0.117731166037534,
      0.273667773203127,
      0.0917216577228376,
      0.260395640347228,
      0.235792606694154,
      0.439191605340386,
      0.260215656840892,
      0.152940789778515,
      0.340015804695401,
      0.321715306230288,
      0.209389500549119,
      0.171219936886786,
      0.217931723264866,
      0.0623514805078609,
      0.387700562704078,
      0.113487947960986,
      0.506726024561329,
      0.306060919045875,
      0.224135401178539,
      0.283304728762186,
      0.192687023810602,
      0.234837164576255,
      0.317804860680901,
      0.263171702189796,
      0.351035255448913,
      0.30245375159127,
      0.353179797495739,
      0.387014573594527,
      0.290257577182143,
      0.21379961769309,
      0.291251064923252,
      0.232420841800961,
      0.265115850773345,
      0.282882895358961,
      0.311259535400796,
      0.513623457654782,
      0.27537543978848,
      0.160727466417742,
      0.165185977713528,
      0,
      0.196848286486898,
      0.267504528239852,
      0.161498082971692,
      0.283131485729688,
      0.238091025792049,
      0.421927283285745,
      0.470537173564142,
      0.0480901438936807,
      0.388260674075217,
      0.345759308712315,
      0.375108629749009,
      0.22661893350484,
      0.148809715034034,
      0.243381853494293,
      0.479363980703162,
      0.256333675821601,
      0.367553031286975,
      0.232719746500685,
      0.377912093615145,
      0.165396122181515,
      0.281244826288819,
      0.20692379238587,
      0.269486868520927,
      0.067724938712501,
      0.0340346680633542,
      0.515546972069486,
      0.249089809051043,
      0.373208989487964,
      0.167697582876289,
      0.141659953967463,
      0.246946680258642,
      0.283007007755229,
      0.0262539625096457,
      0.45006356513557,
      0,
      0.374922292907373,
      0.261156559090948,
      0.368866946917363,
      0.308603977100518,
      0.101407291637946,
      0.260683256360575,
      0.245489726172649,
      0.275250235871234,
      0.383117281839387,
      0.524523765568187,
      0.343601360092883,
      0.398974416494304,
      0.410202734714016,
      0.409206692384572,
      0.0517524163447042,
      0.117754914576422,
      0.301492185651658,
      0.338524521037531,
      0.15609090781846,
      0.140284610252181,
      0.421936892873074,
      0.387353477335601,
      0.333514456672315,
      0.392917804283093,
      0.316049652801157,
      0.255427768172814,
      0.178361195325204,
      0.257534923436759,
      0.511700709073755,
      0.211127663299026,
      0.39896470039863,
      0.155894607260759,
      0.180855781106281,
      0.21843569417602,
      0.276548552385203,
      0.257003003669492,
      0.251619368852047,
      0.317693408440827,
      0.285413345996062,
      0.412465805702212,
      0.30597784459562,
      0.352470738658858,
      0.146627279888104,
      0.0682082087166229,
      0.267875505900625,
      0.257484972350266,
      0.288319945845246,
      0.491097556216589,
      0.281715514820273,
      0.212378635880585,
      0.316119545266148,
      0.379092259018327,
      0.290598760383007,
      0.355801985375309,
      0.279522180078715,
      0.189861987474143,
      0.242905632482727,
      0.0746688123618715,
      0.509300358293433,
      0.336785437181458,
      0.352000621908491,
      0.394006551307936,
      0.417938289226008,
      0.0319724282162094,
      0.311992288975181,
      0.125416579585859,
      0.443003337307945,
      0.350041245531752,
      0.213793507702645,
      0.264350721143053,
      0.214528993462164,
      0.19477909737178,
      0.263465823185256,
      0.225299587494162,
      0.156426815775008,
      0.22981983343737,
      0.0875801558274558,
      0.515207055496065,
      0.108079183268999,
      0.394393187256593,
      0.223867205246095,
      0.314723044308851,
      0.285797650138293,
      0.355952252914416,
      0.264867567632856,
      0.378275805251224,
      0.273903805713314,
      0.132047037817939,
      0.358147071931465,
      0.294996708662272,
      0.246013277628904,
      0.230433362808179,
      0.200878389272002,
      0.0937430999541216,
      0.136819332861432,
      0.487927751548251,
      0.503692573836732,
      0.280282071168656,
      0.381851816706983,
      0.385195839658782,
      0.325737698340517,
      0.160292274353722,
      0.28339177995187,
      0.235500316420492,
      0.317769288369699,
      0.314918162397101,
      0.149630306685535,
      0.438839188231597,
      0.329895356326843,
      0.319864312231268,
      0.351249155445588,
      0.358748371683665,
      0.103618803912667,
      0.388766166651743,
      0.0930975032302294,
      0.488935639869766,
      0.290685364608813,
      0.35215168966534,
      0.340925088243507,
      0.259869465753758,
      0.235218790995232,
      0.352012288065239,
      0.369401364035861,
      0.20425336785101,
      0.291489593180668,
      0.307312332914061,
      0.455640508530518,
      0.330325086555963,
      0.371212561006618,
      0.327553566754781,
      0.288551655175662,
      0.236070799834456,
      0.298952259330264,
      0.222548853812372,
      0.45143636778688,
      0.195209563980766,
      0.186009082441995,
      0.303118031039786,
      0,
      0.233244777717141,
      0.29243955354245,
      0.16971431704459,
      0.268745611367297,
      0.330748506751685,
      0.279251911987665,
      0.523256271410229,
      0.123395423262203,
      0.383218105764564,
      0.409917158486699,
      0.400163562939892,
      0.34026753942833,
      0.145524204992481,
      0.100475882489618,
      0.336183689735782,
      0.327315786013266,
      0.252284090951965,
      0.348927535170408,
      0.41229828862347,
      0.493508414644615,
      0.252500215154915,
      0.356061087024897,
      0.199392609853786,
      0.00610671295708248,
      0.0679092426298816,
      0.489950884464322,
      0.0746483372495832,
      0.44290511068755,
      0.253556011904943,
      0.148541155619387,
      0.0947623533949896,
      0.203070797576709,
      0.104580836789937,
      0.33634469335556,
      0.201497909221874,
      0.324708943595004,
      0.455857224549726,
      0.298734691291139,
      0.304273987732581,
      0.260026955467233,
      0.367239104789188,
      0.423472940537457,
      0.259017649877101,
      0.346862471848543,
      0.485574216830395,
      0.250850671656602,
      0.347418320007542,
      0.315983742586987,
      0.283242472015433,
      0.434912563250323,
      0.104284166851182,
      0.128962442207405,
      0.208778132301181,
      0.250184520472781,
      0.20456949421427,
      0.452112588483767,
      0.397721691525486,
      0.392321474633484,
      0.370493329271428,
      0.390249687165765,
      0.29390360562944,
      0.2632028696165,
      0.19338954063106,
      0.448292084692899,
      0.197011586426903,
      0.348964622757027,
      0.336330587250691,
      0.257034684061198,
      0.242439085838969,
      0.263934693410647,
      0.261235174228245,
      0.353819453728287,
      0.399973330811041,
      0.288002917370116,
      0.510437233393712,
      0.338914268629702,
      0.426587777317924,
      0.130412891731285,
      0.0766484641302333,
      0.284445292176967,
      0.246540951481004,
      0.279458965872107,
      0.387481646485595,
      0.294713091154328,
      0.243728621657318,
      0.360696927274117,
      0.346880737150776,
      0.281795919782132,
      0.357191483030709,
      0.229790532814348,
      0.201155515248809,
      0.245329589226555,
      0.157430257969101,
      0.491897799098336,
      0.369607514790209,
      0.385124795874378,
      0.398211532269105,
      0.36930479424234,
      0.0421762879611295,
      0.300485331827705,
      0.221639337278388,
      0.314958618363388,
      0.327318417432759,
      0.131587547932226,
      0.441888854100152,
      0.259431296076889,
      0.328642049622407,
      0.350491676827749,
      0.369800702031774,
      0.145526673183006,
      0.226399066725036,
      0.137437988581119,
      0.473217121252059,
      0.147659108959875,
      0.353973343529218,
      0.280394879285611,
      0.214983912717881,
      0.249347740038959,
      0.396841840879773,
      0.283593988508108,
      0.302199519106803,
      0.351634891129857,
      0.125954040409681,
      0.505800169851106,
      0.328574303673154,
      0.373901248734628,
      0.173558106070453,
      0.225934722940914,
      0.115413401557312,
      0.183486545587562,
      0.307446122405815,
      0.450762106354699,
      0.287515823412397,
      0.355670477312279,
      0.317148329707337,
      0.313517754064556,
      0.245483384321325,
      0.26339747816122,
      0.239243678887256,
      0.374894853197923,
      0.335535445705781,
      0.350995533252392,
      0.506747784573534,
      0.34615897777068,
      0.210322770618734,
      0.244335152956538,
      0.270040051990836,
      0.236573117658734,
      0.354141973798591,
      0.181203136700883,
      0.32861906278107,
      0.26328734038574,
      0.105598652141762,
      0.441964383736936,
      0.307968127563842,
      0.256601205662914,
      0.312842419542254,
      0.316031152029532,
      0.2159199348671,
      0.337357923110348,
      0.296663549306834,
      0.517668467096373,
      0.325579739607766,
      0.274053673494779,
      0.334265400826232,
      0.294213764600897,
      0.261597975137108,
      0.308916606319175,
      0.25316309589038,
      0.193935780023965,
      0.124010760218025,
      0.170456085211368,
      0.393325558788134,
      0,
      0.158122957664352,
      0.325693795458075,
      0.1400526508691,
      0.0668530497752436,
      0.162129860360787,
      0.0325619390076875,
      0.472944407368839,
      0.215238609456726,
      0.337576744711686,
      0.319395665879444,
      0.187763021909028,
      0.261125992922728,
      0.259310956298888,
      0.159279898496305,
      0.131066202079849,
      0.157619475831153,
      0,
      0.496738866229274,
      0.120706980946376,
      0.36459612889159,
      0.384022086810376,
      0.389720291582357,
      0.206470635639792,
      0.314400437356577,
      0.326043589191857,
      0.446087708883212,
      0.123572991474351,
      0.208156373130246,
      0.260658783909324,
      0.115135003353084,
      0.161954535443227,
      0.10641257094623,
      0.181006643190197,
      0.123283022018228,
      0.157396116227199,
      0.176997163206017,
      0.529385555857963,
      0.0113275265308911,
      0.396834989967664,
      0.347532792928633,
      0.163384668021928,
      0.288745862510073,
      0.142959592762617,
      0.207003849757843,
      0.347127217582462,
      0.302808337716516,
      0.0806768110489899,
      0.359432654371971,
      0.020451086156988,
      0.102394811223073,
      0.200690008482778,
      0.216112836548462,
      0.150544215934643,
      0.0658563585425355,
      0,
      0.521809078004262,
      0.145694236234014,
      0.0747910791056963,
      0.157267461838922,
      0.0275089025387616,
      0.122000900413322,
      0.117470410691651,
      0.14694203575817,
      0.0462518139266945,
      0,
      0,
      0.191172378333918,
      0.0676837164388283,
      0.147727588974374,
      0.136778438824303,
      0.0472186582322784,
      0.17035151664306,
      0.273593799746975,
      0.139330369754196,
      0.31642149676473,
      0.189655240296444,
      0.147243136469409,
      0.283481551915677,
      0.0896994748984793,
      0.135058274916138,
      0.288664071803672,
      0.22688938734304,
      0.128857399488511,
      0.217502217263827,
      0.104939774318164,
      0.177950409846018,
      0.326695010059515,
      0.214593681009379,
      0.157873353338199,
      0.0749909762462789,
      0.162812775393288,
      0.097896369182517,
      0.148372414332819,
      0.192046119410403,
      0.291028296698385,
      0.272274664840004,
      0.256595768841216,
      0.232645624213153,
      0.254235583358359,
      0.115459082267386,
      0.134357038943665,
      0.166412003572678,
      0.254011736221484,
      0.0977746088208997,
      0.288749956257192,
      0.17437576750731,
      0.132173360536736,
      0.123198314598267,
      0.321388090837364,
      0.100400118964896,
      0.150877338045639,
      0.173143237445514,
      0.159524539049151,
      0.15899344948263,
      0.0874281339981447,
      0.208867404476653,
      0.175239982918834,
      0.464571548278279,
      0.168993429067754,
      0.139725218054174,
      0.317796864154302,
      0.164801132381717,
      0.198284349728169,
      0.226113920228107,
      0.128776757558391,
      0.0624368151780258,
      0.18347135978974,
      0.122500872125188,
      0.511812124272367,
      0.086535262835562,
      0.140097860776136,
      0.26143988075355,
      0.166386213904742,
      0.212450058978702,
      0.280130868894028,
      0.355137785472685,
      0.397134031528647,
      0.343416851361271,
      0.239342046763694,
      0.38377280902433,
      0.208069273005457,
      0.277714812359989,
      0.253492074820003,
      0.224247960171207,
      0.215824721114667,
      0.206656958375285,
      0.221145517604205,
      0.51489794421662,
      0.18433426070425,
      0.242868899551694,
      0.153342642259212,
      0,
      0.121799703939725,
      0.345769840700664,
      0.313490048026104,
      0.221361111097379,
      0.236711320071749,
      0.12109544897954,
      0.449550812572875,
      0.0439994798158865,
      0.418066691559461,
      0.372489766868601,
      0.397251365788701,
      0.23223861506955,
      0.162680412662892,
      0.260699876552512,
      0.490327338054666,
      0.196644605566538,
      0.362448166610502,
      0.227841449431302,
      0.346162279842944,
      0.181294073981023,
      0.189854540696891,
      0.219070629557042,
      0.336401407562016,
      0,
      0,
      0.523276466710419,
      0.31018949173192,
      0.390634239328633,
      0.1933086293509,
      0.1970297009838,
      0.446470215761574,
      0.296625257890613,
      0.271022431108311,
      0.486680655523573,
      0,
      0.386733096203852,
      0.21493389819441,
      0.192272223051251,
      0.408767485547753,
      0.0399070926785104,
      0.245624490433191,
      0.245556997068799,
      0.235685441427388,
      0.360672184693644,
      0.497111822423021,
      0.269702732462531,
      0.43211796351029,
      0.453889730613872,
      0.407768722246962,
      0.0824090987590855,
      0.143699604670405,
      0.283556181212104,
      0.420231036414934,
      0.191224798692589,
      0.23340842866896,
      0.460429122350411,
      0.19330367658097,
      0.376310131842634,
      0.329082649955328,
      0.324486381831769,
      0.318435360140305,
      0.279709185315076,
      0.224868710420747,
      0.515512811459386,
      0.244875837914851,
      0.416076519256254,
      0.156653320674644,
      0.138669126168197,
      0.256569859179791,
      0.366870041987643,
      0.344057695543811,
      0.249667129819802,
      0.302363391126745,
      0.231646483167896,
      0.418731835947695,
      0.257744731008524,
      0.288486207731675,
      0.0533493424605195,
      0.105320066404755,
      0.298600437255732,
      0.292083436710161,
      0.203450647781989,
      0.512909436828565,
      0.239913221091123,
      0.205759471391026,
      0.313634710357517,
      0.317182415651866,
      0.254267933580849,
      0.393120830060643,
      0.308696456375539,
      0.218513937883911,
      0.124011255347159,
      0.0787860675886292,
      0.483240061803728,
      0.360167506649265,
      0.380929514740415,
      0.412066442924371,
      0.421549241961363,
      0.0341396711618184,
      0.276044823761741,
      0.177530686133008,
      0.467118745209707,
      0.224823753784785,
      0.230883002149828,
      0.265611306588856,
      0.226934947364562,
      0.108311838528061,
      0.247717119924997,
      0.252516779532877,
      0.175734074141863,
      0.224862653832813,
      0.0866561794238227,
      0.513305054430158,
      0.075350427767632,
      0.42165879182007,
      0.22324167348411,
      0.299712733609245,
      0.264911135928013,
      0.286933504864458,
      0.257392292851355,
      0.383608547231718,
      0.140108489326238,
      0.114003051475331,
      0.35477010281738,
      0.28384206493233,
      0.197228336193863,
      0.307718766193898,
      0.162885098942336,
      0.0003920901177326,
      0.125395148255838,
      0.38349224542688,
      0.496730671411779,
      0.281815706617034,
      0.39145984029547,
      0.397764932473823,
      0.33173199699875,
      0.134564947569227,
      0.1959568648926,
      0.213005637484359,
      0.13538542660365,
      0.174918816841355,
      0.100307381132738,
      0.427998232389539,
      0.177414107289706,
      0.325396651777545,
      0.369819136141397,
      0.381711116446427,
      0.0667429073281304,
      0.260742081720926,
      0.116962680813176,
      0.508478762807428,
      0.183526202751094,
      0.358540355207567,
      0.26594009461193,
      0.216570784241062,
      0.209508123916157,
      0.235673772881921,
      0.340224656219732,
      0.399010145179617,
      0.313016549401141,
      0.230932790683526,
      0.478427191170213,
      0.272744223089081,
      0.378851798265427,
      0.238901968724374,
      0.275256897607197,
      0.204980144728642,
      0.266684727047731,
      0.232391024033432,
      0.477598397092319,
      0.25117759894399,
      0.212495740444385,
      0.279119430698143,
      0,
      0.133241080478932,
      0.336040325841397,
      0.297668745674927,
      0.24805298466061,
      0.371032379377432,
      0.421912065572496,
      0.527532154516617,
      0.176046983551534,
      0.408376961757382,
      0.421122891505721,
      0.414972432130525,
      0.412166925415071,
      0.157398214527654,
      0.0977284493862929,
      0.368011145070578,
      0.200782695555155,
      0.195039888327563,
      0.382474375559998,
      0.362335093642224,
      0.533306136949418,
      0.2742039149932,
      0.366875118693979,
      0.252054436969365,
      0.0874585633833243,
      0.08881269298662,
      0.495716063386442,
      0.190240700329419,
      0.421378582878891,
      0.25395729847925,
      0.157071633887707,
      0.130919747242092,
      0.420275652007356,
      0.255026893534603,
      0.368218514308417,
      0.130549413210571,
      0.290236147913578,
      0.442278726928298,
      0.136548512232409,
      0.309425275595413,
      0.254953772817161,
      0.408958699757966,
      0.462752130347633,
      0.213884493599487,
      0.359737538982208,
      0.506341364167027,
      0.271483824214503,
      0.345438956088171,
      0.350683233763224,
      0.501779090022996,
      0.129247373153013,
      0.115613401883054,
      0.135683957083913,
      0.257055227789222,
      0.260784377758667,
      0.366354657600299,
      0.495162743639877,
      0.183445334850334,
      0.417792260302774,
      0.394579206400161,
      0.415100791478828,
      0.380810275525112,
      0.242997268354301,
      0.279978415870186,
      0.463901621148235,
      0.235833650323236,
      0.218737659094367,
      0.324826565803374,
      0.198899676781638,
      0.281759339737849,
      0.34402058690625,
      0.26545709719942,
      0.369541907880167,
      0.365097109699408,
      0.26582977620967,
      0.523266047551068,
      0.248993589994987,
      0.42129083839648,
      0.0680855040434165,
      0.0532388737291067,
      0.277153321842201,
      0.288506938068723,
      0.293064164174161,
      0.379288484397186,
      0.194204403425147,
      0.20936841292776,
      0.412258835882853,
      0.265687430061296,
      0.27746538888567,
      0.390870261028533,
      0.308642942359486,
      0.217665871828989,
      0.188771853250053,
      0.128631665531938,
      0.507897875607718,
      0.377265872852566,
      0.401557580466929,
      0.402491655785028,
      0.353302858406057,
      0.0864385739736603,
      0.249368812203919,
      0.28278454594636,
      0.218690511746878,
      0.257493324864995,
      0.177418460699675,
      0.467657632447,
      0.300622846940665,
      0.321652893581362,
      0.36689253732156,
      0.382948560080595,
      0.194204469288355,
      0.178080920822043,
      0.165052895188691,
      0.494273605537303,
      0.140102596982213,
      0.364514802485292,
      0.302025604355684,
      0.234792679215561,
      0.211202493779387,
      0.333392627790885,
      0.253770199102664,
      0.286473469955966,
      0.27906050039791,
      0.102056880569465,
      0.519249620570012,
      0.327438123500434,
      0.386486705863413,
      0.216371513989193,
      0.23062758957561,
      0.0372336108798116,
      0.176677647658887,
      0.35406528110549,
      0.477335438179174,
      0.244974940279503,
      0.207945226130977,
      0.344470264367053,
      0.260702724443334,
      0.354654117066942,
      0.358952458656536,
      0.189002557445296,
      0.238899331950178,
      0.206421505350788,
      0.204188592144164,
      0.534665654692684,
      0.274429421876246,
      0.202881893250049,
      0.215822629367355,
      0.268680405723931,
      0.166217137430633,
      0.35066410921664,
      0.1717723866955,
      0.351661747092996,
      0.154791676239616,
      0.060207409427351,
      0.431382435303941,
      0.296827588654609,
      0.229355105686301,
      0.288362249327939,
      0.344065265837909,
      0.357400559736129,
      0.337269108478087,
      0.226591252512487,
      0.532394205957376,
      0.263615195033885,
      0.298693190547683,
      0.240405624897077,
      0.273217257741704,
      0.210333326495851,
      0.23203633182799,
      0.255329826404197,
      0.192156900835076,
      0.21944327811921,
      0.140971103508563,
      0.463921791522233,
      0,
      0.135563141576434,
      0.34630828301084,
      0.290915427594691,
      0.0854343610983603,
      0.202621991126132,
      0.0767514546763884,
      0.494447404544486,
      0.177485335275887,
      0.345341458363264,
      0.310032072190997,
      0.176726818999522,
      0.206108497493127,
      0.237808405774992,
      0.128443000460164,
      0.117629093291076,
      0.103809322671466,
      0.0842496697263435,
      0.523356543995957,
      0.105813345559557,
      0.390940568574326,
      0.410099263643613,
      0.403954244578199,
      0.13518106930944,
      0.27548895026639,
      0.280262543086384,
      0.47273266532178,
      0.129812021753083,
      0.200281562809526,
      0.355370189117524,
      0.163647554858165,
      0.0995711168953629,
      0.114910127714182,
      0.216825922625866,
      0.195799897250159,
      0.317152341700798,
      0.257852282286558,
      0.547336345845951,
      0.0467892310691537,
      0.417419612234869,
      0.403820911799077,
      0.190475859260197,
      0.19214397948834,
      0.166149642447924,
      0.173718609212888,
      0.376790279996618,
      0.273141865273518,
      0.12219470007764,
      0.365048164246539,
      0,
      0.087797472267374,
      0.194635305328924,
      0.233190964313863,
      0.0811052768593078,
      0,
      0,
      0.554924840149782,
      0.133700668772207,
      0.077642503364578,
      0.108953252560636,
      0.0205543879694789,
      0.0478592303586661,
      0.0585340262582845,
      0.153102140501858,
      0.127934267224955,
      0,
      0,
      0.151458929862057,
      0.0515772057674379,
      0.0709950578458231,
      0.105844121612859,
      0.00715183289745601,
      0.222999685551992,
      0.233768673656511,
      0.135569041697475,
      0.213454526940893,
      0.155670622698665,
      0.146294165144471,
      0.240623823294605,
      0.126518616422233,
      0.183064193163668,
      0.257190337007863,
      0.225018931227125,
      0.104862923520316,
      0.124649027736732,
      0.0724969427607721,
      0.120611869021291,
      0.205161022036647,
      0.174819400243016,
      0.201531688307918,
      0.0199473559218942,
      0.126789321914428,
      0.0787030281310127,
      0.134486305199407,
      0.12444603962586,
      0.277379458640101,
      0.213027919493285,
      0.24576412555728,
      0.19003798600652,
      0.218954657788783,
      0.103799597537541,
      0.138606926678664,
      0.14821265916781,
      0.209441942937566,
      0.130039215067041,
      0.288044826173977,
      0.144382302903825,
      0.138297671031468,
      0.207097825762506,
      0.270556186871814,
      0.12630323520166,
      0.125435705230734,
      0.0676703955545187,
      0.0629395823652752,
      0.115131422398019,
      0.0831350441023622,
      0.117845435426115,
      0.178910525131527,
      0.409839353794294,
      0.137270971268228,
      0.0967289326287303,
      0.322002737604163,
      0.252696987887813,
      0.122545213439844,
      0.138714300250217,
      0.188172259761055,
      0.0294668817212974,
      0.263715170769297,
      0.110837966905206,
      0.508261040848867,
      0.185500831122206,
      0.0692583163874102,
      0.232611198323789,
      0.156057272838078,
      0.23897692845126,
      0.240872331751922,
      0.339629701047743,
      0.350905389361893,
      0.291312226426203,
      0.271875873971699,
      0.405653383967094,
      0.246923542914837,
      0.281190290726821,
      0.307130672887028,
      0.223451843264508,
      0.181885677213595,
      0.246932538699011,
      0.282353518944949,
      0.49124490725165,
      0.198260791689576,
      0.19545747720051,
      0.122896753046097,
      0,
      0.228454049633981,
      0.335281926660892,
      0.240697546693196,
      0.359745591930466,
      0.28033389836884,
      0.304339022470293,
      0.441324949522067,
      0.0121160524850102,
      0.443420569914558,
      0.390266455648447,
      0.425936538634982,
      0.239387283668463,
      0.225974934042295,
      0.222352882778291,
      0.453659691091835,
      0.356437124032005,
      0.377767836300666,
      0.193514241165974,
      0.255574792622199,
      0.144827854130413,
      0.204137641300663,
      0.165258789291511,
      0.275630592188667,
      0,
      0,
      0.501812310818216,
      0.298162179650394,
      0.427614409830289,
      0.190263954010039,
      0.22880487871652,
      0.293766136087543,
      0.277303900318921,
      0.182522234565077,
      0.438687076276725,
      0,
      0.289482551310791,
      0.323311585928686,
      0.333793499296748,
      0.361595585493673,
      0.0393466801795521,
      0.204185526976549,
      0.145758640433407,
      0.215769433705905,
      0.298920252029757,
      0.513995682544324,
      0.351956396235613,
      0.453786780010935,
      0.459795326432121,
      0.41550345319533,
      0.0451228937766428,
      0.197420868984741,
      0.296609055962872,
      0.339136879331479,
      0.166050483580246,
      0.159908010812452,
      0.405964170538084,
      0.33846456971254,
      0.26275204543096,
      0.338680245541197,
      0.34755022066062,
      0.269985538993956,
      0.35375810914534,
      0.231481261256063,
      0.481138758763149,
      0.0802192449129657,
      0.426533009312685,
      0.0999711437708231,
      0.0770922114492785,
      0.231058038962453,
      0.264329831260226,
      0.254281677521475,
      0.226419450844192,
      0.291547936286901,
      0.217106885113455,
      0.461918645694478,
      0.316836263667564,
      0.320887103277547,
      0.174730463323499,
      0.172865973085214,
      0.301515375277843,
      0.263218043125076,
      0.253653296728127,
      0.470802881398498,
      0.269853265871264,
      0.216801929801859,
      0.346713514258983,
      0.331076840852113,
      0.261014677267383,
      0.391162005261773,
      0.310693556783726,
      0.286229410526245,
      0.180456975041293,
      0.0480683361110179,
      0.465130111514601,
      0.344731578805007,
      0.412617135940647,
      0.437145193628966,
      0.46109918524155,
      0,
      0.295893302526476,
      0.157387235644204,
      0.41798572856245,
      0.243114200868724,
      0.218998075152455,
      0.292811482326187,
      0.165286062440533,
      0.160851580779516,
      0.226382145040886,
      0.239776798629796,
      0.191449823868505,
      0.264515127981661,
      0.00341822787536329,
      0.495992449282148,
      0.0550881416133173,
      0.458883973937784,
      0.171788542469847,
      0.315958299567518,
      0.24046735666225,
      0.260197001670849,
      0.243831902433262,
      0.360011857064917,
      0.159199549912677,
      0.0935484814862199,
      0.348936904623749,
      0.21248575125373,
      0.253886970134448,
      0.287748863109878,
      0.196780428204356,
      0.0383158245515454,
      0.164254560540462,
      0.264578072881269,
      0.469198117527667,
      0.285318287936595,
      0.422496530535402,
      0.408740936352159,
      0.345083185779912,
      0.113227868235669,
      0.131959105580335,
      0.187659537313703,
      0.242033092505624,
      0.148379877773562,
      0.0774470121700814,
      0.436835157245599,
      0.209411715910555,
      0.343711821644677,
      0.388851547538803,
      0.417533777340325,
      0.0693365129779618,
      0.21790090692227,
      0.127304921232348,
      0.443963360831093,
      0.153499286626192,
      0.373873827926999,
      0.299010398427919,
      0.262620314562903,
      0.234210972721864,
      0.235866289016346,
      0.249175253132535,
      0.288859727223904,
      0.299260694998655,
      0.27401370249598,
      0.470607630056747,
      0.278461377683048,
      0.412629708712963,
      0.298837009378956,
      0.29719448058128,
      0.212679320974206,
      0.222359102377191,
      0.277912245497297,
      0.440960677843344,
      0.212715925605852,
      0.223884974533111,
      0.279743098933369,
      0,
      0.225481725712722,
      0.356317224638228,
      0.215206271420524,
      0.233986039279599,
      0.421051347957548,
      0.319491841295123,
      0.475607671247934,
      0,
      0.447495289052767,
      0.448247157608135,
      0.440555467306893,
      0.173839798021964,
      0.19600105302137,
      0.105624439074474,
      0.351443751870497,
      0.362352724758085,
      0.261427024670221,
      0.413564369698195,
      0.378008006953274,
      0.273159288517931,
      0.317911933342938,
      0.353826875272688,
      0.190216162647638,
      0.137625966166216,
      0.00318659878602282,
      0.484167316062548,
      0.197431964306306,
      0.453062195826263,
      0.214292247806148,
      0.2049121736654,
      0.0678223956675973,
      0.295846949933033,
      0.243904935053509,
      0.170990088349827,
      0.177234729860511,
      0.343830807539365,
      0.430281758414523,
      0.296783555246873,
      0.341217249612451,
      0.231708499145747,
      0.22820290323166,
      0.292064236810881,
      0.254676863490154,
      0.304445333820981,
      0.456215693974595,
      0.327781209767686,
      0.350124004579408,
      0.322243145529085,
      0.368072259161858,
      0.220209852832986,
      0.118790861887588,
      0.051012175720903,
      0.220375622341316,
      0.282181646827874,
      0.259582696440419,
      0.478074425125253,
      0.370488762705534,
      0.41766491296754,
      0.43874015994567,
      0.45321714518508,
      0.279265642025736,
      0.290932733063706,
      0.232109559333415,
      0.421443275753926,
      0.130381469037204,
      0.306312817375635,
      0.354833856769636,
      0.15938687403461,
      0.2334026001498,
      0.269214942299327,
      0.265649839506872,
      0.403868621988567,
      0.351507384848786,
      0.261591243187011,
      0.490399952252522,
      0.306000476704001,
      0.456147173296368,
      0.0994367479158648,
      0.0847967510228724,
      0.266914949134703,
      0.245254115836099,
      0.304488963474827,
      0.361938071682062,
      0.224468241432456,
      0.218809500566139,
      0.429870045426969,
      0.292408819916702,
      0.339919279115844,
      0.403501700939167,
      0.291766352597491,
      0.285665558914883,
      0.205530306750591,
      0.0852161259342922,
      0.480516002182906,
      0.365560116329851,
      0.437276031093391,
      0.415483814118339,
      0.376467322185514,
      0.0559689255748392,
      0.171975667021153,
      0.218007105718422,
      0.289698257978016,
      0.209048653210307,
      0.115869056625901,
      0.463982188426328,
      0.245799038863164,
      0.34883758636152,
      0.40248787527333,
      0.408646354321618,
      0.182536683843166,
      0.236707762308173,
      0.0980839329083458,
      0.445623129573739,
      0.0570978633918667,
      0.380946985106474,
      0.256624004444204,
      0.181068008053977,
      0.195743772201633,
      0.250117285982539,
      0.220031987697963,
      0.27415324537113,
      0.22743728728515,
      0.0974409927704891,
      0.480047903055754,
      0.293446124005335,
      0.413470545738055,
      0.163890763996794,
      0.249692476812464,
      0.0897399111622145,
      0.243076007293947,
      0.186192602841205,
      0.426499026281255,
      0.283071457044497,
      0.207729512193562,
      0.357797212992704,
      0.221101813968689,
      0.293258895817158,
      0.361836325847546,
      0.222136153588577,
      0.279441537772487,
      0.284537065269376,
      0.291847714466787,
      0.507024206550119,
      0.320475545150967,
      0.227529527310391,
      0.231568887610573,
      0.281317818179216,
      0.248848436281527,
      0.254772897317674,
      0.175992848196713,
      0.335804987524082,
      0.176951793233303,
      0.0423422143649882,
      0.442475201451462,
      0.27956299204038,
      0.199759032770396,
      0.283848921172738,
      0.326940500053648,
      0.257412827664115,
      0.332736153922002,
      0.265532255528992,
      0.47652588236157,
      0.26168044240712,
      0.291307554541175,
      0.29411607535136,
      0.31983719136429,
      0.203614982822418,
      0.215972213939142,
      0.313383939776262,
      0.279877176672715,
      0.192021288460251,
      0.168802518096024,
      0.46420227645946,
      0,
      0.177916062323035,
      0.350248908621683,
      0.213545306216672,
      0.044117944072607,
      0.206696146990755,
      0.0931766302433218,
      0.458043645041007,
      0.19815797425589,
      0.367644681353008,
      0.304514451843753,
      0.184916103586267,
      0.258052725729247,
      0.207132409272832,
      0.169056761276579,
      0.0908236099566748,
      0.0320497373465495,
      0.0804232825449418,
      0.503781093049965,
      0.0903664748278883,
      0.426580830820234,
      0.441941008914744,
      0.432538635133144,
      0.142524803676702,
      0.309476112784909,
      0.279858849510724,
      0.411957273021991,
      0.159112350218913,
      0.201268686980356,
      0.349942616231691,
      0.147731458054477,
      0.14261660325351,
      0.186076612636648,
      0.273349769878398,
      0.193849412755523,
      0.294825016325076,
      0.134656998513283,
      0.493942386236943,
      0.0273318505942292,
      0.448949592534519,
      0.374332244792196,
      0.249114490903644,
      0.200691595469701,
      0.212076649008431,
      0.19322807062308,
      0.349320161516973,
      0.292748706308896,
      0.0927148921315765,
      0.406938906529447,
      0.036910820805634,
      0.0794861775665155,
      0.167908502188997,
      0.15739650265132,
      0.0837863248662342,
      0.0426268129232469,
      0,
      0.502120956344998,
      0.15889613757794,
      0.0662249785201148,
      0.110996186814899,
      0.0099637075873227,
      0.0619147200971107,
      0.0813767396847612,
      0.108165296849684,
      0.110931675214354,
      0.00248727642988493,
      0,
      0.137631041468105,
      0.0549872714546774,
      0.0478710939314711,
      0.0808664839902519,
      0.00313465662443536,
      0.173234276866927,
      0.212359418413393,
      0.203924337993653,
      0.26788304006946,
      0.141519573035031,
      0.11865573732759,
      0.253149267550715,
      0.109750411588049,
      0.0809013737913273,
      0.200739038842816,
      0.190162746206501,
      0.0867236806008357,
      0.120268450537138,
      0.00123616053936667,
      0.161924251716537,
      0.234260182364466,
      0.165598205191636,
      0.235471444382868,
      0.0879298918591124,
      0.0868517249537264,
      0.0412717531952825,
      0.0798401430755714,
      0.192246206843315,
      0.253610029640448,
      0.187677970894955,
      0.265241336087501,
      0.188030037002768,
      0.218648506958158,
      0.111963810914965,
      0.0768909770800365,
      0.159093781548201,
      0.283898175371463,
      0.12273288765317,
      0.297465524826755,
      0.189610810194208,
      0.124813931245264,
      0.125892956351256,
      0.235438222958904,
      0.120637148914319,
      0.0961637017102041,
      0.155125815943058,
      0.0484498136791062,
      0.133320831399604,
      0.129419699253132,
      0.14646124275896,
      0.129642375807969,
      0.433088392481448,
      0.181430865620676,
      0.0974368692579046,
      0.309733590443642,
      0.255217938663692,
      0.138559046320484,
      0.15197443468639,
      0.128834767401907,
      0.0636247564866356,
      0.287682171404221,
      0.0610006473402508,
      0.479514400860159,
      0.139568363702125,
      0.0758453905682739,
      0.163728706131533,
      0.152889983726447,
      0.236331500724708,
      0.179215380126498,
      0.234418615970091,
      0.377020462767393,
      0.264712932330797,
      0.273953654516304,
      0.389473742545679,
      0.21365253943278,
      0.264478561558231,
      0.234704709202422,
      0.223934629259325,
      0.216968211028932,
      0.198612386289929,
      0.197120473729959,
      0.481271912347223,
      0.263205056513029,
      0.150370650584593,
      0.150333741986804,
      0,
      0.0782145542776998,
      0.279725452242848,
      0.163681408788656,
      0.292351665713015,
      0.25552199353309,
      0.354775211907265,
      0.434496851160243,
      0.0350810902819086,
      0.379605090363661,
      0.340564719930099,
      0.376636265592441,
      0.219585704885594,
      0.224204276361902,
      0.238885575886625,
      0.481525350874689,
      0.390540285561048,
      0.357110666121937,
      0.225237873224457,
      0.337839537415628,
      0.187433916852252,
      0.254721696690533,
      0.164809584742883,
      0.316799302374644,
      0,
      0,
      0.458526478712604,
      0.205687566540478,
      0.378146095500141,
      0.186771877084012,
      0.222231454180619,
      0.205663593162899,
      0.301536679772912,
      0.200692304973774,
      0.446255633158274,
      0,
      0.358934736509403,
      0.337673785133289,
      0.360123556634886,
      0.304576486044878,
      0.0620463505737958,
      0.202142390000181,
      0.260494782212254,
      0.236538422335472,
      0.349161965844576,
      0.4792122832597,
      0.247347254116084,
      0.401541280538485,
      0.408963268334529,
      0.3957550464431,
      0.0516489245743377,
      0.228441286285615,
      0.305311752725739,
      0.351520398525721,
      0.188453340741894,
      0.295934116226849,
      0.388053425579214,
      0.366835287926253,
      0.239211433032175,
      0.286850982283788,
      0.278408919421214,
      0.33769234627584,
      0.204168409820472,
      0.247555679956642,
      0.456817421965023,
      0.17541112141931,
      0.400956439902387,
      0.111869908075525,
      0.0488270581910108,
      0.300990422325945,
      0.158331227321776,
      0.206741446790279,
      0.206975947080188,
      0.272057966571447,
      0.309317643337999,
      0.433668867964853,
      0.338728892691154,
      0.310081743657184,
      0.18260316549483,
      0.206823799235393,
      0.272922249290485,
      0.274453055245011,
      0.20561863077569,
      0.465120518446633,
      0.202383658969132,
      0.169432451769162,
      0.326352496812461,
      0.257167495338735,
      0.24020069164556,
      0.389038246399048,
      0.320103206083183,
      0.172049323951471,
      0.134473670247071,
      0.0244018756431594,
      0.474792205411103,
      0.346417387412077,
      0.349929421907015,
      0.410430610399582,
      0.423640095458482,
      0.019646889554677,
      0.307962279738591,
      0.121543533603843,
      0.441374904167231,
      0.250973026176303,
      0.212096269271696,
      0.289400118809885,
      0.121731057316289,
      0.0775287210143589,
      0.245000213063517,
      0.185761405975334,
      0.157838624621069,
      0.236757374309784,
      0.0291874773027908,
      0.468192405138418,
      0.0358607507522936,
      0.4148947499057,
      0.210148016253627,
      0.269790492469693,
      0.1893481196821,
      0.267749235459383,
      0.203454277753081,
      0.385774048776401,
      0.196299346544443,
      0.0984603018484693,
      0.349128906118949,
      0.229177659318911,
      0.178374811834081,
      0.30289073678897,
      0.225571854851396,
      0.0496619519421919,
      0.169648264166947,
      0.301017571868348,
      0.459344270244087,
      0.212382885106316,
      0.384871729157246,
      0.370011309548101,
      0.301426945539539,
      0.142698997781767,
      0.0793868463194875,
      0.184512171499896,
      0.207908391208147,
      0.197534992194155,
      0.11968801361202,
      0.454960774363502,
      0.288455386176211,
      0.29375958449026,
      0.341309900337723,
      0.375073203280521,
      0.0950396161973055,
      0.276287963733568,
      0.0799639422940479,
      0.437082497243742,
      0.139142800709841,
      0.323789922408135,
      0.318989390562334,
      0.21749363020286,
      0.22949101806474,
      0.217076660446899,
      0.159209944189305,
      0.197447498088454,
      0.274585959987375,
      0.291421863265846,
      0.456951322130354,
      0.210686412754238,
      0.365193356593329,
      0.231025252188407,
      0.289201962646374,
      0.255744469876586,
      0.244831957157763,
      0.222374389131062,
      0.442031489665182,
      0.246739614858751,
      0.165853094986716,
      0.250654710282691,
      0,
      0.119011731515415,
      0.279967407558829,
      0.206045178041167,
      0.282941823965296,
      0.311401398816742,
      0.318845568280452,
      0.483699797761342,
      0,
      0.396069316279234,
      0.407256021821613,
      0.394364894128278,
      0.180384959379784,
      0.221082956557246,
      0.0549007748454734,
      0.373164863884189,
      0.355249710421052,
      0.305956821760013,
      0.399117287125246,
      0.387202193953078,
      0.229307511289283,
      0.303524898671858,
      0.323931869679927,
      0.268687044963383,
      0.130803793410896,
      0,
      0.463422614453366,
      0.0761427577725107,
      0.417243913353863,
      0.191934597227749,
      0.249046267941771,
      0.0365781636550438,
      0.410195414235546,
      0.209600818504617,
      0.241573661175325,
      0.202219408528189,
      0.371791909305417,
      0.425432040042761,
      0.312602317461176,
      0.275259188269808,
      0.247905214336464,
      0.239208370625952,
      0.257831654500625,
      0.230239445061643,
      0.313182387879327,
      0.43871648335877,
      0.242580683162688,
      0.317324023506171,
      0.310012446424077,
      0.279879653709414,
      0.245800021781368,
      0.101296249067754,
      0.111855845281541,
      0.329770374374227,
      0.349368492365298,
      0.32635980362496,
      0.491734474030711,
      0.394366375579661,
      0.368839273815366,
      0.394864545527069,
      0.414992345306399,
      0.364066619047755,
      0.286264496866275,
      0.344887694566902,
      0.429177773563616,
      0.25153258886497,
      0.333334795126415,
      0.349523716861396,
      0.137729258084352,
      0.249746074510401,
      0.198591056166281,
      0.246297046001002,
      0.36475914559596,
      0.363368451109527,
      0.25549767708824,
      0.483211411865513,
      0.317265888591094,
      0.416807123502767,
      0.152019924450707,
      0.101095427841903,
      0.252938745064019,
      0.253212703497073,
      0.212045213037999,
      0.392017101277878,
      0.192891002486011,
      0.213932189655724,
      0.383241978033786,
      0.271519101586043,
      0.242101187818235,
      0.435568438443368,
      0.313131344764074,
      0.195007298039872,
      0.127944132377837,
      0.0809135372011583,
      0.476119378541328,
      0.376710905598117,
      0.389586234502169,
      0.374745280275206,
      0.32557891707436,
      0.0740517894642638,
      0.318942947197201,
      0.139005022686572,
      0.244159295622533,
      0.240396597844655,
      0.088712286980337,
      0.463486189865265,
      0.19862565914652,
      0.278559579629133,
      0.352886667726927,
      0.357738510030625,
      0.135813791258511,
      0.260034708583411,
      0.0618600877001963,
      0.443458698961364,
      0.118692208740951,
      0.346293250596684,
      0.256958201332062,
      0.201412364207468,
      0.164235837203731,
      0.264231359518171,
      0.172847529182633,
      0.299950935334504,
      0.281316475176508,
      0.126495658596139,
      0.46411917162899,
      0.257640695287924,
      0.366996277165511,
      0.160493567369824,
      0.216985137270815,
      0.0175585694555401,
      0.270297598693859,
      0.205700433403537,
      0.431135202765229,
      0.214592714193317,
      0.19968675060502,
      0.315004557754639,
      0.27139114320118,
      0.200211022912087,
      0.221021025716095,
      0.210294184941943,
      0.250594973508938,
      0.246956587022798,
      0.226637524884781,
      0.507684665522062,
      0.316253088216374,
      0.192137376234173,
      0.269204298094412,
      0.181794496013772,
      0.181110183567322,
      0.311617101031351,
      0.144598910709232,
      0.359989949074263,
      0.181104828481532,
      0.0653413331750882,
      0.423381928970399,
      0.302517145393264,
      0.232493074487699,
      0.220777605559976,
      0.238496523640959,
      0.182615751319429,
      0.262525262699186,
      0.275777607464966,
      0.459247912857393,
      0.211088187592235,
      0.252592855877202,
      0.269564944548084,
      0.331691730083925,
      0.235798873407275,
      0.295482428943695,
      0.22559329929122,
      0.213894035394694,
      0.252994055683332,
      0.143232108055468,
      0.433885056809195,
      0,
      0.0834087340593092,
      0.261012266232326,
      0.220662274858677,
      0.09221502165059,
      0.193429014907746,
      0.0314642468011873,
      0.455764225909242,
      0.249391815238015,
      0.324286504756028,
      0.289304352909394,
      0.166612694236529,
      0.190544310036048,
      0.272532470454947,
      0.155707466495962,
      0.103914767096656,
      0.0950616141727332,
      0.0533680193809872,
      0.499074898945903,
      0.1554997487293,
      0.372505558516447,
      0.40897191238277,
      0.403680824380531,
      0.16527195912821,
      0.279930772810189,
      0.291529960289979,
      0.431297710055017,
      0.199877149061275,
      0.186708503378297,
      0.337320313736272,
      0.180832940729007,
      0.107161246068895,
      0.137347637468551,
      0.182632830244961,
      0.143842272584879,
      0.106415505852016,
      0.169780871240109,
      0.481616474647135,
      0.0878906362484119,
      0.404044275685723,
      0.384453366069727,
      0.248249503466784,
      0.220673732399458,
      0.246809843405087,
      0.158818046302861,
      0.371195388856333,
      0.289541825487125,
      0.136860571756595,
      0.383486999580032,
      0,
      0.0250715135304225,
      0.173854966372442,
      0.205170157806011,
      0.0640044056847622,
      0.0187034090539893,
      0,
      0.473617308225156,
      0.13625317507349,
      0.010908828358911,
      0.139385734910153,
      0.0313739526021199,
      0,
      0.144758936511738,
      0.143186881136711,
      0.122905554193926,
      0,
      0,
      0.179506708611157,
      0.0309736403858906,
      0.122948422106613,
      0.121107218743552,
      0.0186098013764555,
      0.231862018167989,
      0.210157033330881,
      0.208340619078881,
      0.215971216167999,
      0.158914311590883,
      0.143999197425779,
      0.211347567240659,
      0.200799072879688,
      0.16607122322911,
      0.187421991889642,
      0.175523189260307,
      0.183240232088712,
      0.172237187170481,
      0.0570182882163075,
      0.195131088320007,
      0.29206194250453,
      0.161930786160098,
      0.176496357303507,
      0.161347242592716,
      0.148198652256971,
      0.125511084509447,
      0.171668422183432,
      0.190498023229528,
      0.271080634416376,
      0.177359344772249,
      0.178503812373251,
      0.159374015053213,
      0.187382840287646,
      0.0928236256485307,
      0.17118488115337,
      0.184691694679706,
      0.237842118920497,
      0.111534559898731,
      0.300240430567127,
      0.238309520513142,
      0.134783932326646,
      0.124526152145167,
      0.19925242531105,
      0.178525433741304,
      0.0577712692013807,
      0.148505719095266,
      0.0531592493065329,
      0.0773098292316732,
      0.152349868010849,
      0.162929181807152,
      0.175838273281466,
      0.437296204018939,
      0.190667449460882,
      0.137067422571366,
      0.331874061514489,
      0.185757311207639,
      0.172198488116881,
      0.161366421466706,
      0.129058048756917,
      0.0984344295019402,
      0.218178927435607,
      0.156430162221035,
      0.503266440030358,
      0.192473290289407,
      0.165428547350805,
      0.282676308357017,
      0.120258173230509,
      0.239288495795026,
      0.254581132964444,
      0.319204316991738,
      0.380389936522069,
      0.238057344409296,
      0.271194883515864,
      0.376569635907135,
      0.297496256740927,
      0.302437289271154,
      0.313626222617741,
      0.19138712642441,
      0.225334477128314,
      0.201695124909119,
      0.272854718900399,
      0.520000869420464,
      0.210124323020388,
      0.196286435759673,
      0.171660421497622,
      0,
      0.264704425951021,
      0.314264696321792,
      0.194882278722224,
      0.31318622479933,
      0.201099456971127,
      0.117180636673503,
      0.478150707784275,
      0.0161906390766017,
      0.395903933002022,
      0.313516820287002,
      0.363133492575106,
      0.236350868656453,
      0.121064940040653,
      0.171715328560253,
      0.508875193977362,
      0.213638961915209,
      0.291893528744301,
      0.210068104041973,
      0.339568129822681,
      0.266549745728191,
      0.283661882104728,
      0.105984776466906,
      0.372786813226359,
      0,
      0,
      0.445387385572047,
      0.304095338304091,
      0.351197466926615,
      0.207872266935264,
      0.16344669240709,
      0.24177753234506,
      0.245919248442768,
      0.244885427055713,
      0.451434077181086,
      0,
      0.412390333581687,
      0.307946082677459,
      0.332397909282524,
      0.247625890179067,
      0,
      0.169673656265958,
      0.354064315097291,
      0.234388376229051,
      0.312151060314167,
      0.511170974975086,
      0.314106604374664,
      0.437420691203729,
      0.390130220988232,
      0.362960978323743,
      0.0195203294664789,
      0.158354366545682,
      0.33605605409526,
      0.350841456980533,
      0.197880062087098,
      0.338610037384492,
      0.381592720004086,
      0.248029922023069,
      0.373417578894436,
      0.253663894966617,
      0.246401571283915,
      0.370457959054048,
      0.350273580515381,
      0.251718917586976,
      0.490592832226601,
      0.35404895308977,
      0.361849776465876,
      0.133071259049128,
      0,
      0.308421010354442,
      0.25320922924894,
      0.215479370505456,
      0.213309409929416,
      0.284533551699758,
      0.331157615320983,
      0.411663151780933,
      0.239019207952251,
      0.210513671679447,
      0.124805348878551,
      0.0759241526597108,
      0.283525992218102,
      0.292329037972863,
      0.291704954110357,
      0.484330140453901,
      0.187317047033705,
      0.196203544757828,
      0.325523366599479,
      0.241468311965949,
      0.307086211557964,
      0.435121209098246,
      0.290811722718672,
      0.321461373605697,
      0.280940100701079,
      0.0493062744379495,
      0.522238300210653,
      0.327938959100714,
      0.332944063233416,
      0.380732383878103,
      0.390017186199298,
      0,
      0.251662787352893,
      0.271519758271144,
      0.451682806139909,
      0.198386704996981,
      0.231939674437199,
      0.296632432418601,
      0.170906099491279,
      0.10452878483916,
      0.208144576757318,
      0.245869368227292,
      0.170521855024604,
      0.249183376172016,
      0.202049811538635,
      0.501499231723559,
      0.133005590744406,
      0.381978009750532,
      0.21521120941359,
      0.277208675557743,
      0.18700145650188,
      0.266756713277599,
      0.163454201542111,
      0.379015938845951,
      0.120668216918493,
      0.151376504304414,
      0.358243841310375,
      0.246583757668937,
      0.189489653947775,
      0.293582895461869,
      0.211346783342374,
      0.0288139258781931,
      0.15308032351088,
      0.28011988429168,
      0.515461179343551,
      0.240742977133746,
      0.342953923449441,
      0.326692356753976,
      0.261006443491358,
      0.139439316048694,
      0.158721359938112,
      0.166148138171249,
      0.197179767159934,
      0.163559393486037,
      0.134803623396304,
      0.479968577691036,
      0.209178704034865,
      0.250615540179237,
      0.320184714903702,
      0.356257472645865,
      0.165876200959711,
      0.209181912561183,
      0.1077787793592,
      0.463303854840181,
      0.190745009289939,
      0.274117640615698,
      0.310487750345827,
      0.21454912971946,
      0.240331908095248,
      0.302845137167362,
      0.237333359049373,
      0.288746558300429,
      0.345921916580637,
      0.29149933824685,
      0.465022783495101,
      0.321771518485434,
      0.374108753983314,
      0.308821943279821,
      0.299818006660593,
      0.244959270292244,
      0.212181351503958,
      0.248745361456718,
      0.442798915063781,
      0.263831439055747,
      0.215724735239039,
      0.281306110292214,
      0,
      0.187288407528819,
      0.312958158571447,
      0.234726586866001,
      0.219912074374608,
      0.350041757731436,
      0.340866727113642,
      0.518980102768503,
      0.0591074735897099,
      0.378305811901467,
      0.374090533887121,
      0.357830553370325,
      0.399506618397389,
      0.144327798978785,
      0.0842457661277125,
      0.37928097915741,
      0.261125208550779,
      0.222297984099403,
      0.386597659985129,
      0.33462987013561,
      0.362794822430142,
      0.229885524728822,
      0.347609426177296,
      0.346723694308568,
      0.0081460752501273,
      0.00474830199806117,
      0.497566472274515,
      0.10147374101756,
      0.363903997901059,
      0.176702489980901,
      0.195735582396857,
      0,
      0.441585630974503,
      0.297448431381987,
      0.363406839555373,
      0.188401114850783,
      0.285176616199274,
      0.458121150026182,
      0.174184819474354,
      0.253079944083407,
      0.25689644577308,
      0.353713302884727,
      0.368586205836245,
      0.266046226267486,
      0.315370658175527,
      0.479278151692146,
      0.28034711543651,
      0.267982705480169,
      0.295480041948667,
      0.317040896746072,
      0.101573306468199,
      0.092214383327813,
      0.0661270077360358,
      0.357049845488208,
      0.326631133231366,
      0.36180103931026,
      0.523867791623575,
      0.2776018315759,
      0.395409335201738,
      0.373093458368989,
      0.388601050323584,
      0.404198165957358,
      0.359034164849886,
      0.385926861947812,
      0.437448296911049,
      0.366952675595133,
      0.229347843564553,
      0.288871750495523,
      0.135110906826496,
      0.253082515087059,
      0.257631011523103,
      0.265110087297499,
      0.354529877096097,
      0.381063956635912,
      0.254626154306068,
      0.500660687454427,
      0.266755775288337,
      0.3699197819429,
      0.135280763135619,
      0,
      0.253043864934637,
      0.273326918537972,
      0.311661242831959,
      0.395673696703772,
      0.224098479668219,
      0.226775392088564,
      0.38161459026857,
      0.316843798859384,
      0.312436756026295,
      0.447296160091502,
      0.349311259923761,
      0.324975423472939,
      0.245199065312697,
      0.0620479105345882,
      0.497035971763317,
      0.358145754070357,
      0.339659424916734,
      0.326738621095125,
      0.2930053823966,
      0.103234985873813,
      0.293776006771874,
      0.269596206339353,
      0.214228208349194,
      0.186909824531806,
      0.165736136194998,
      0.475385974256908,
      0.264663803379017,
      0.246768763266836,
      0.32621932630797,
      0.353442884823101,
      0.15871286731602,
      0.261084550703056,
      0.161631139880132,
      0.465799060987398,
      0.161552220192977,
      0.292286828790926,
      0.243987333881591,
      0.172169607563228,
      0.211610243024822,
      0.239038872727527,
      0.18199943738335,
      0.305314155448784,
      0.146349086361657,
      0.100316861481355,
      0.48238950986004,
      0.205521778510001,
      0.340203963136346,
      0.205412536552283,
      0.252212469002958,
      0.0351812391064883,
      0.212498080295112,
      0.314965302165182,
      0.444138312968123,
      0.291569596544031,
      0.210633721826091,
      0.328769256861693,
      0.310137199903284,
      0.283369013693617,
      0.324940750466075,
      0.230968691468681,
      0.303582811637536,
      0.317338098662295,
      0.346071640264408,
      0.540737952446948,
      0.33874708621204,
      0.279069017421871,
      0.253352964712677,
      0.27346858518358,
      0.339719945041914,
      0.3221439257502,
      0.183362121987113,
      0.35331502367604,
      0.193566220066079,
      0.0855843908861857,
      0.427222607651147,
      0.286184101329862,
      0.262379554801576,
      0.273866312515938,
      0.255743272469464,
      0.289038567694986,
      0.361599217488677,
      0.299120744036226,
      0.483102812446275,
      0.300026412809083,
      0.296348966492994,
      0.345203725145554,
      0.356409077554295,
      0.23928596518157,
      0.229702457648684,
      0.240374184583524,
      0.33767711720061,
      0.263115026412985,
      0.19343263965394,
      0.420766033274615,
      0,
      0.0908703046548266,
      0.31009157186312,
      0.245357854591717,
      0.092845302393738,
      0.179652527351639,
      0,
      0.459325589715916,
      0.224267852754312,
      0.272344477500534,
      0.267992992341765,
      0.156689289093612,
      0.209642747755397,
      0.255450148224114,
      0.176077514509638,
      0.0597773898392129,
      0.109462884001373,
      0.0723581610685732,
      0.525592460368851,
      0.119584358393263,
      0.35657345192009,
      0.382854593258656,
      0.374448076604256,
      0.135619463385587,
      0.218821093705399,
      0.265850330541855,
      0.438538196296131,
      0.205783631704514,
      0.163038409849645,
      0.281393311319415,
      0.306852508478028,
      0.0988200900846994,
      0.133209017716689,
      0.217375416427916,
      0.127748453767383,
      0.230480709843157,
      0.317876252856457,
      0.510845234004976,
      0.116827056326044,
      0.385217548909199,
      0.303538285455201,
      0.160124139767109,
      0.177568101030595,
      0.179550950312901,
      0.141354099696447,
      0.369027497054583,
      0.292032357923905,
      0.158281814973569,
      0.347659616642299,
      0.0105607905041761,
      0.0426627697492287,
      0.144900163689262,
      0.134008536150336,
      0.121195673342511,
      0.0773975094217124,
      0.013613970397396,
      0.509437771702054,
      0.168395562792741,
      0.0626045331576901,
      0.123560531975288,
      0.102704730366647,
      0.0447383559834739,
      0.111434657281629,
      0.159685857547964,
      0.129939317912802,
      0.0624877010064563,
      0,
      0.22246809282077,
      0.0228424663150305,
      0.136038823150415,
      0.1232365571971,
      0,
      0.211880919641215,
      0.158515376164207,
      0.217923673644311,
      0.162760100742365,
      0.169701128946749,
      0.153430005044908,
      0.164964647005221,
      0.162793776247122,
      0.128545283066624,
      0.196720104807712,
      0.203247396069738,
      0.140589488809666,
      0.22081524424539,
      0.0556341339598448,
      0.272108048211035,
      0.215603929474863,
      0.160348848780153,
      0.25954953950679,
      0.115522587352948,
      0.0863944816046121,
      0.130308444388024,
      0.210467130652306,
      0.175633052234406,
      0.281715116893003,
      0.219162885877976,
      0.184280132313523,
      0.191758875177468,
      0.252039898796851,
      0.0551856146267187,
      0.195632561215298,
      0.192655105961936,
      0.217695511730385,
      0.135965015455158,
      0.282633851607953,
      0.208593432542377,
      0.0893435279513265,
      0.231343696054224,
      0.189685255990499,
      0.130314978922897,
      0.178853348855388,
      0.161012497352221,
      0.162668219280769,
      0.207438022020267,
      0.135757551668538,
      0.168139983408691,
      0.175942568701973,
      0.378267916607883,
      0.242179635029626,
      0.173173451749639,
      0.36396960930811,
      0.317951016750723,
      0.197950625187021,
      0.155038314487733,
      0.176697388595127,
      0.118358028211258,
      0.340774297688289,
      0.1338912383584,
      0.488572370819836,
      0.260571018588028,
      0.204842092858863,
      0.266674952934274,
      0.122136680435974,
      0.261276358590635,
      0.21397989873437,
      0.258418477529714,
      0.339610148204899,
      0.202769959600214,
      0.320691581010413,
      0.414105544794417,
      0.262725714926668,
      0.321755255487293,
      0.291181129346851,
      0.182373424887918,
      0.203905090055864,
      0.217864125245753,
      0.176160255842258,
      0.466401241490732,
      0.322152328248926,
      0.159122988014063,
      0.134753444870918,
      0,
      0.149439117156834,
      0.268068229624873,
      0.107449355581404,
      0.39887163549825,
      0.210531376878303,
      0.301867925092919,
      0.485160557294903,
      0,
      0.370322260135515,
      0.380941054232044,
      0.421971307994964,
      0.232223835748198,
      0.233639586828899,
      0.170156035770755,
      0.462977929957185,
      0.356282115489848,
      0.358367132324364,
      0.213400931702589,
      0.300244327839802,
      0.243152075324285,
      0.258229387939058,
      0.152880930005036,
      0.289653242954564,
      0.0515277106667912,
      0,
      0.471901316524153,
      0.227620923242036,
      0.443604761120593,
      0.225932287302141,
      0.238834501682807,
      0.0301545376432859,
      0.313981868325676,
      0,
      0.419277686716993,
      0,
      0.271250494669377,
      0.37739838283491,
      0.379692802968463,
      0.223287352471165,
      0.0380339477146667,
      0.180978879290448,
      0.259428703047746,
      0.309946649293688,
      0.296912207906719,
      0.487563004655495,
      0.236980930812636,
      0.43583883504867,
      0.442636013876546,
      0.416359328369229,
      0.0141041041837782,
      0.217098936919733,
      0.348143109374764,
      0.311827114535814,
      0.153801965393098,
      0.126901651609277,
      0.437654943802655,
      0.387310270118876,
      0.238272276854901,
      0.293959643972717,
      0.330265626803216,
      0.342371369537058,
      0.252603759919909,
      0.319132319986458,
      0.482005520358253,
      0.27332737165019,
      0.424395050135979,
      0.140616373049557,
      0.130357053084833,
      0.217615054562707,
      0.202458219858698,
      0.175104277605744,
      0.199872246556368,
      0.281697334123857,
      0.136715640456355,
      0.435931005225007,
      0.262141656156374,
      0.321887695716189,
      0.151956999184446,
      0.150374223984324,
      0.243816783991249,
      0.183976268174481,
      0.180458791509242,
      0.428661524025314,
      0.2406448672793,
      0.210660207968574,
      0.362296864224862,
      0.181566598795388,
      0.299997015522352,
      0.414184982323596,
      0.345545868004185,
      0.226712918996515,
      0.198038794725186,
      0.0582718785627206,
      0.4921005068508,
      0.317197199838545,
      0.40341952734615,
      0.441811348187993,
      0.454785915097788,
      0.00285654249169143,
      0.290629997304332,
      0.253714024436374,
      0.409553244782,
      0.243646300376763,
      0.198141562774448,
      0.310065119434176,
      0.185499364321765,
      0.134393827061116,
      0.252200903005647,
      0.24751321245786,
      0.174472885186543,
      0.310971490133484,
      0.13406364632122,
      0.494711174992347,
      0.157662607063654,
      0.453201118510851,
      0.189325755372437,
      0.303838071385167,
      0.220736606161857,
      0.283126325321313,
      0.177373526155634,
      0.362487541897279,
      0.16355082032571,
      0.243779453386074,
      0.433168108325532,
      0.249688360469707,
      0.232216010094641,
      0.274355619840938,
      0.207962998076791,
      0.0277131680674527,
      0.195206952815062,
      0.156121495965866,
      0.465676370927453,
      0.226312779269691,
      0.400559045758138,
      0.380289537291999,
      0.302349121209789,
      0.158196411522622,
      0.17294129847245,
      0.190840717041009,
      0.305415285897504,
      0.260414149745538,
      0.163784332301551,
      0.499469030736758,
      0.328282179962526,
      0.343056469898907,
      0.378593884139117,
      0.419989028914617,
      0.158100036353415,
      0.258837607505944,
      0.116292774973043,
      0.449000952600763,
      0.274702293208882,
      0.317040663564009,
      0.329500088183508,
      0.263866134943996,
      0.213873647850051,
      0.269725313101169,
      0.20268519848143,
      0.244788495938073,
      0.223992853150127,
      0.301442884745045,
      0.483695660728187,
      0.311081550892127,
      0.424613028742812,
      0.284083696908544,
      0.252342362181611,
      0.22056460616373,
      0.244625732031657,
      0.159383209399369,
      0.401857276887805,
      0.205015225408204,
      0.177871669000188,
      0.340802437981301,
      0,
      0.126690947986607,
      0.260137943029627,
      0.141505209100262,
      0.236742696559613,
      0.356703472520968,
      0.253172322634219,
      0.479083626257507,
      0,
      0.446555628874526,
      0.436494317599319,
      0.431962948390369,
      0.266753021163546,
      0.22206961487042,
      0.103998646680846,
      0.330880704168878,
      0.408927144507737,
      0.380331587594191,
      0.428381650747348,
      0.421763610188731,
      0.22968093724448,
      0.352899952997898,
      0.348564752018418,
      0.2418057797728,
      0.124299989540507,
      0,
      0.472825537154171,
      0.0762158734872745,
      0.451718002013229,
      0.185103455102143,
      0.216610410421114,
      0,
      0.221800116761226,
      0.214204894429534,
      0.163230312689266,
      0.196380069859487,
      0.317062199233965,
      0.463794051092661,
      0.403424331745349,
      0.328505110254873,
      0.243454170044272,
      0.192382003294654,
      0.206251874355916,
      0.261504861263444,
      0.295894573684813,
      0.431921704194699,
      0.208039006880136,
      0.333078773333582,
      0.271006596585824,
      0.128551579327946,
      0.211953344302089,
      0.0715945835311299,
      0.121178647179206,
      0.333298060089832,
      0.281032003518833,
      0.250983885969739,
      0.50598929623133,
      0.460642563367377,
      0.421953710755447,
      0.43205712948327,
      0.451917779796165,
      0.263658578892401,
      0.308340961171368,
      0.284745249554909,
      0.398275104679239,
      0.227413866990724,
      0.340528731344119,
      0.311871792079456,
      0.168586732615911,
      0.16001193064396,
      0.212646874463665,
      0.204525751435261,
      0.344496794192742,
      0.365579853307718,
      0.169508693268992,
      0.48460352420079,
      0.260672303711469,
      0.439399794152552,
      0.124140779406661,
      0.090976707648489,
      0.251907008098638,
      0.167634213550368,
      0.211993591560821,
      0.353443925028823,
      0.19496288304471,
      0.202453348075756,
      0.438004332997517,
      0.303997075183276,
      0.320194581422704,
      0.451326091578166,
      0.381793242113302,
      0.214159703965192,
      0.209116916883567,
      0.0830039881119187,
      0.452122850126717,
      0.352975048054178,
      0.406298688575212,
      0.383443349642174,
      0.350267307359368,
      0.075731470305797,
      0.213567110087462,
      0.243360627022949,
      0.179897858576428,
      0.239517140059685,
      0.147263252070095,
      0.497256164396623,
      0.25501751224844,
      0.323602100842228,
      0.381491562914707,
      0.41510808164544,
      0.141309107973815,
      0.317674023427656,
      0.0856360619206536,
      0.447997075252875,
      0.160494592685064,
      0.358539076086282,
      0.263267843708162,
      0.147492110838624,
      0.214478129488208,
      0.198663794626136,
      0.174417820673761,
      0.332156065731789,
      0.171312123198921,
      0.146460618776382,
      0.474776287475687,
      0.238838939977005,
      0.418382145709397,
      0.169802664681845,
      0.284244166245086,
      0.0600217579785164,
      0.268753724047993,
      0.187044244117655,
      0.399912855927585,
      0.250472960896534,
      0.271323322466612,
      0.324977720663846,
      0.250933422041039,
      0.274813571092005,
      0.314281435240363,
      0.174940365823896,
      0.337961718059476,
      0.350006747557279,
      0.320588208369616,
      0.480618489235348,
      0.359262350588674,
      0.281801391627601,
      0.268047891040873,
      0.2476051997417,
      0.229020695131886,
      0.281768591366306,
      0.177055068290589,
      0.327011864735507,
      0.283270429220239,
      0.12731816532509,
      0.440817713082172,
      0.303319568062866,
      0.234969354005568,
      0.300294309736805,
      0.221245650511043,
      0.259539420093926,
      0.304260726267311,
      0.254477832792542,
      0.474391239577666,
      0.308993358724078,
      0.279756215014728,
      0.323723402482024,
      0.296596505646262,
      0.24269591974099,
      0.260410299046741,
      0.141089146823393,
      0.18687859846314,
      0.115986622385876,
      0.165498398387062,
      0.456589234580905,
      0,
      0.0285908397950782,
      0.30401244965846,
      0.178227221780202,
      0.125192131501459,
      0.195544387774333,
      0.0601067064943063,
      0.434814450970003,
      0.25066682078889,
      0.319342489472705,
      0.273562867386997,
      0.200009586702875,
      0.223282972711145,
      0.16869005289133,
      0.200771383277234,
      0.129676585697672,
      0.0993058512977861,
      0.0662363221230672,
      0.51293158107059,
      0.175617294902052,
      0.415439690818135,
      0.440803228258799,
      0.439357303671235,
      0.207642358235241,
      0.278017956075869,
      0.269648097801695,
      0.406347838077383,
      0.198282298765125,
      0.18427487387734,
      0.300961204483082,
      0.27109208718484,
      0.101337305760606,
      0.15002761337262,
      0.288569512323194,
      0.175648401648261,
      0.311939317636677,
      0.239650581311446,
      0.480048122281534,
      0.144531975788669,
      0.45704743055097,
      0.296734047764778,
      0.281956446289656,
      0.223430877249588,
      0.22537321240144,
      0.0900387035575936,
      0.328642404559014,
      0.229814446472155,
      0.133803240673171,
      0.372508179614715,
      0.0745532410123361,
      0.0671753768750774,
      0.21471366669581,
      0.134454614374516,
      0.152039616938191,
      0.0365817929071398,
      0.0196840406844063,
      0.47960346585997,
      0.112941645657375,
      0.112694267463123,
      0.14735591140659,
      0.155230003283751,
      0.0568950693704948,
      0.156710985571736,
      0.15678429258658,
      0.081849466004061,
      0.0789046238998995,
      0,
      0.24397140628373,
      0.036226167270933,
      0.183966914290248,
      0.127862861450102,
      0,
      0.120756421215021,
      0.180934910539247,
      0.226425865057678,
      0.234863716944813,
      0.151764582542831,
      0.109715108492662,
      0.234087733414971,
      0.227116650214118,
      0.216275608682472,
      0.154518567943537,
      0.175053664909827,
      0.271201815392261,
      0.226032151030841,
      0.101651683436544,
      0.293584551572808,
      0.202644449757407,
      0.141202717361031,
      0.258089046189452,
      0.158782097593217,
      0.172281252046898,
      0.108493656744207,
      0.22775083747853,
      0.202237197880323,
      0.300210859641477,
      0.181692843569058,
      0.225475239486738,
      0.205023409807329,
      0.270024147639185,
      0.0897921375019973,
      0.184116210569836,
      0.194922678310402,
      0.259964794487443,
      0.116310871498121,
      0.284179885667109,
      0.189099602754325,
      0.114674006347451,
      0.160229992776662,
      0.149851600455423,
      0.179370241738164,
      0.249277126374921,
      0.211878173776453,
      0.250752970049872,
      0.219969609288411,
      0.161549932130016,
      0.196954808155373,
      0.185475445548103,
      0.385342102502488,
      0.273554318710689,
      0.118610547056077,
      0.329355115256658,
      0.278165454124996,
      0.199242378294359,
      0.224893120770752,
      0.171990013689142,
      0.136761719228791,
      0.337275685094381,
      0.152471714444718,
      0.526087423562471,
      0.266938171715934,
      0.184201144399137,
      0.272902900246498,
      0.114505142829923,
      0.325105191732758,
      0.320625200045407,
      0.239965390505565,
      0.387959429100142,
      0.204038222893369,
      0.332093224130558,
      0.408904812760625,
      0.32776722970069,
      0.389078804484083,
      0.369897542188095,
      0.222638704665847,
      0.290174311003019,
      0.248173060721192,
      0.30311026883214,
      0.504647103850437,
      0.319920046853512,
      0.307862330743019,
      0.278233824376545,
      0,
      0.179280684232895,
      0.363628631284639,
      0.322697317968581,
      0.296709181409589,
      0.23760040642645,
      0.300909764460582,
      0.468487411670711,
      0.0156289658448021,
      0.43798999623502,
      0.406669128542438,
      0.470466921355681,
      0.250451015100203,
      0.284659812344355,
      0.218929968620515,
      0.467562091957269,
      0.347084603707928,
      0.395628961114147,
      0.213652559812456,
      0.370461979595841,
      0.208018138922793,
      0.231507092171153,
      0.227082749749195,
      0.428030533058691,
      0.00170892861523555,
      0,
      0.501348120124611,
      0.341485503650718,
      0.478798313212135,
      0.23301719102875,
      0.294936464985055,
      0.244589851891184,
      0.292280679075404,
      0.212458399204777,
      0.421865830686456,
      0,
      0.257150429577255,
      0.357681826710827,
      0.357378377139325,
      0.282490817797748,
      0.0351359435359665,
      0.223429805559537,
      0.300659302967349,
      0.36444394206691,
      0.337695351604566,
      0.543821541718483,
      0.374381674172345,
      0.507319499156034,
      0.506291411858836,
      0.465183546390555,
      0.0156593559581871,
      0.265034459018106,
      0.403519495094153,
      0.272056348797735,
      0.326244718867894,
      0.254772351649925,
      0.428491375245561,
      0.374001928891505,
      0.286800597331783,
      0.342505111922927,
      0.362596077339664,
      0.432166081600985,
      0.346037905561058,
      0.299811680147386,
      0.515054689586406,
      0.155525135948779,
      0.490100341222507,
      0.179303559641368,
      0.112897255470078,
      0.171227356432219,
      0.167983510966424,
      0.242279043088609,
      0.212935817575751,
      0.267243616307278,
      0.147413282601141,
      0.447939483351473,
      0.229403505391323,
      0.315210708284593,
      0.124960668337338,
      0.173455742006999,
      0.306770587596493,
      0.197357684400388,
      0.348988157306704,
      0.452565797023626,
      0.237573326324313,
      0.183114498975851,
      0.346894973815999,
      0.196066972656442,
      0.299494482019881,
      0.422580121192412,
      0.319892359644824,
      0.371600189990027,
      0.357393046582988,
      0.0515957254799153,
      0.503826225478474,
      0.294950443998441,
      0.441953479006687,
      0.498969154989682,
      0.51276371862493,
      0.0268759139066445,
      0.318053098491168,
      0.203479549222453,
      0.407791634350579,
      0.214399583428728,
      0.236328236076928,
      0.315967273062544,
      0.230407703065022,
      0.128940482251672,
      0.31448521282183,
      0.228497680028434,
      0.149897011993964,
      0.266151103201745,
      0.110259848271127,
      0.523953632931502,
      0.177011112518474,
      0.509638437297041,
      0.215744256999476,
      0.315127615854319,
      0.19642610789714,
      0.271776476372649,
      0.169213511373,
      0.315226838547077,
      0.181111488369664,
      0.233837595324249,
      0.44983322909856,
      0.253550856742779,
      0.244682046095678,
      0.281928945214236,
      0.264919825538307,
      0.0268343748182185,
      0.233931318874801,
      0.189407823646897,
      0.496364087267772,
      0.279016159149186,
      0.471625808959044,
      0.456223891478947,
      0.355871516168694,
      0.170569905612915,
      0.183918452241383,
      0.19159180142402,
      0.259280746845571,
      0.27461942735247,
      0.135244561484903,
      0.501933377050546,
      0.33825681630177,
      0.377307123458191,
      0.423950162579275,
      0.469292658792369,
      0.162742242527199,
      0.337700934536922,
      0.11955594343166,
      0.473992355690621,
      0.299049439532491,
      0.383903515222936,
      0.288793125307748,
      0.251684399449154,
      0.330625637822,
      0.376592930209916,
      0.333004080815114,
      0.357282880721705,
      0.267648695102349,
      0.299134164429707,
      0.505755739108876,
      0.356489481216191,
      0.479038774562657,
      0.323657866166241,
      0.206057037309804,
      0.303695724149703,
      0.235718236514633,
      0.208718700988192,
      0.402401348099259,
      0.212883563500185,
      0.296628230326361,
      0.3192972395542,
      0,
      0.154653320292016,
      0.376769983328878,
      0.390121078629105,
      0.30133530224181,
      0.223789882873135,
      0.310153770166134,
      0.514960295634535,
      0,
      0.490385556762356,
      0.499065564578466,
      0.488182764061089,
      0.176011052089609,
      0.27179731166834,
      0.0570015082857059,
      0.324916498758347,
      0.358758644464767,
      0.379474290438881,
      0.443195660923547,
      0.397916445543415,
      0.263248190370029,
      0.355375670705798,
      0.398885389924459,
      0.36256896066512,
      0.187763285347166,
      0,
      0.504973550053635,
      0.206226755188284,
      0.499905655261638,
      0.205890984820323,
      0.263079995296284,
      0,
      0.44842846597237,
      0.38994579918471,
      0.241719496327413,
      0.230948577142047,
      0.358196709230621,
      0.508633630117107,
      0.38328999370388,
      0.34871421614192,
      0.25556488182728,
      0.217902564045531,
      0.25935412025435,
      0.274609471120039,
      0.350662003823445,
      0.446366587502043,
      0.254845925491805,
      0.385003404796438,
      0.30543377076268,
      0.23702418606191,
      0.193203879475902,
      0.142526670257404,
      0.0648383518693421,
      0.383881318416472,
      0.306400182476288,
      0.333388524642224,
      0.51678372447585,
      0.442979122292322,
      0.462420682872586,
      0.501405511455918,
      0.508873427460636,
      0.450899202542541,
      0.348383596604772,
      0.33219724518565,
      0.404572945197248,
      0.225699167808905,
      0.324734215429713,
      0.306877479410023,
      0.170079037831462,
      0.16670504691108,
      0.198227169581096,
      0.277042936203434,
      0.378449764476396,
      0.345760249677286,
      0.215077837240405,
      0.525389973719491,
      0.234719516135261,
      0.503060085102315,
      0.100797496109295,
      0.091116959011128,
      0.26895856308534,
      0.197025448679461,
      0.332334944928896,
      0.345674448959273,
      0.196437523716593,
      0.177463621905986,
      0.450871434417185,
      0.292640498154096,
      0.381541844007074,
      0.462604924637031,
      0.400298994234969,
      0.36227024368705,
      0.362216213774598,
      0.061212592407437,
      0.48739422613842,
      0.330841349632077,
      0.462156768447411,
      0.452704080962447,
      0.394838619316338,
      0.0304875788872169,
      0.304702312307693,
      0.249251281515179,
      0.153750260435441,
      0.208625868891434,
      0.200591356279796,
      0.507258690801309,
      0.253589024088889,
      0.355532590929764,
      0.420674198397726,
      0.451205204090763,
      0.158988000957785,
      0.308889469674207,
      0.0647650298533833,
      0.473903574622892,
      0.209985826089639,
      0.397335479026859,
      0.244375987284334,
      0.1541941149899,
      0.216900690780468,
      0.257654842868286,
      0.175350950146182,
      0.281914711235403,
      0.18247371392576,
      0.173750772062634,
      0.527430645295493,
      0.233008509980212,
      0.459112903913216,
      0.231695922578031,
      0.304973038749489,
      0.0670785768537566,
      0.317056018405427,
      0.199882292609964,
      0.399788695249937,
      0.297815766139175,
      0.289863306593727,
      0.359013356937492,
      0.339849193739387,
      0.289885327236029,
      0.394207102861419,
      0.188225149766428,
      0.331426716018831,
      0.29627027548524,
      0.332045145236885,
      0.50877673091216,
      0.377303509364738,
      0.264593905133041,
      0.311533210467324,
      0.289954333323932,
      0.251484291931635,
      0.354835098722923,
      0.258486253715401,
      0.352847035158578,
      0.32875720217121,
      0.0963363974037073,
      0.415527064261664,
      0.421098788162589,
      0.254465132043471,
      0.379779937545798,
      0.30313720317267,
      0.348997479716343,
      0.317734390210549,
      0.231924365025374,
      0.514298889390925,
      0.337541627099665,
      0.389759072627341,
      0.336001168534133,
      0.221161146581874,
      0.313892832065574,
      0.269091350928757,
      0.184094595134768,
      0.249872672625116,
      0.150042167498935,
      0.240851492438946,
      0.518848226886593,
      0,
      0.0649997777788742,
      0.397014654720145,
      0.335611676862403,
      0.159792168244919,
      0.253906955608352,
      0.0996005569338177,
      0.450338905448363,
      0.258376005952598,
      0.3738335964549,
      0.29468727674999,
      0.202058974954162,
      0.121242264273318,
      0.200782381107875,
      0.162941393930871,
      0.130040244515561,
      0.153986508881175,
      0.109168677739549,
      0.529113576163168,
      0.127302962118616,
      0.463220777577441,
      0.491130248008372,
      0.496258937002801,
      0.161621103995978,
      0.338464016780808,
      0.258378943243329,
      0.41016365671216,
      0.111250170633241,
      0.173497927941185,
      0.257431530838907,
      0.225769859138024,
      0.122215273264496,
      0.146234137785113,
      0.234391256623592,
      0.159734020052071,
      0.124954645778951,
      0.183885416843943,
      0.532216199976281,
      0.101986470540298,
      0.513873062124412,
      0.289609716913901,
      0.323676916874401,
      0.212441349759332,
      0.291772738251638,
      0.127591924332824,
      0.297240649977199,
      0.277643225875798,
      0.154774459891904,
      0.339227569584264,
      0.0706197253060983,
      0.0832030770832564,
      0.231670242353439,
      0.165475663926866,
      0.194147684936701,
      0.120158060708029,
      0.0478827447615894,
      0.485748381653892,
      0.134624246266729,
      0.100607885568307,
      0.125203803245985,
      0.128116458536583,
      0.0689242801628517,
      0.175418197109413,
      0.171510624446851,
      0.194772381056005,
      0.124316834176553,
      0,
      0.20313936577748,
      0.0562579065112321,
      0.154476003629551,
      0.151685753072072,
      0,
      0.17559294405546,
      0.162492103312298,
      0.163996831397022,
      0.159278573396598,
      0.152488938953979,
      0.150868381326635,
      0.152564621414241,
      0.289709915563888,
      0.26697634312912,
      0.144174073225604,
      0.204140853629469,
      0.221842549068838,
      0.229187984970828,
      0.147686942208641,
      0.193958110411442,
      0.282965133875825,
      0.173451035180416,
      0.232947772932161,
      0.108597781381469,
      0.148796486898063,
      0.145599541724957,
      0.207416407089645,
      0.129009589881361,
      0.312928677816869,
      0.202740277620826,
      0.110671258433479,
      0.186523853296939,
      0.222562642409218,
      0.0727026135349438,
      0.217045691857901,
      0.164641052254509,
      0.207068199666861,
      0.116560065455917,
      0.240367836050231,
      0.247574848461618,
      0.0536021463769787,
      0.165128353164288,
      0.176522639518743,
      0.138868928102562,
      0.207434245569971,
      0.117773770815684,
      0.146937478503643,
      0.211426272968083,
      0.0978000025944,
      0.257965129656222,
      0.134810693176,
      0.42581004463177,
      0.269755190444783,
      0.139364839284113,
      0.318180198864479,
      0.208589122493989,
      0.194322587903332,
      0.193926483846837,
      0.23505824782921,
      0.061629463244598,
      0.369474694589469,
      0.121515711837667,
      0.510320979321651,
      0.347420856230889,
      0.175063377235166,
      0.2861971411428,
      0.189280356764193,
      0.247556915164443,
      0.289902507673072,
      0.271190525060603,
      0.391974851934962,
      0.25340706888425,
      0.286585087724997,
      0.381187154490791,
      0.285219548984219,
      0.289527510498112,
      0.306881153315414,
      0.196827288806483,
      0.234242846023242,
      0.302588943892654,
      0.202249497881693,
      0.476946904913487,
      0.105216526905687,
      0.216153124334078,
      0.192321534056002,
      0,
      0.083527017234357,
      0.301553834001901,
      0.232173316943269,
      0.45888333243288,
      0.194460231433106,
      0.124685539016008,
      0.390768034594511,
      0.0148417820607313,
      0.423449231502738,
      0.407063953116237,
      0.443847291188316,
      0.260093802482103,
      0.186547962546004,
      0.173689374453892,
      0.461551790888192,
      0.281952291480246,
      0.38937096489625,
      0.219677989292287,
      0.373959880722523,
      0.262918726541837,
      0.221441661020389,
      0.176397214391118,
      0.33632189550946,
      0,
      0,
      0.507076552503733,
      0.258206947327893,
      0.446490897970529,
      0.254710970193431,
      0.190948216114481,
      0.139648704601237,
      0.262229627064743,
      0.152969912348829,
      0.428759128289272,
      0,
      0.313429790179246,
      0.310115110424963,
      0.328869731297166,
      0.234117763117614,
      0,
      0.183396785473732,
      0.31329625390302,
      0.375112957419723,
      0.289304575406878,
      0.491776452355135,
      0.311090220821465,
      0.459163402067619,
      0.472291785770506,
      0.446437960236443,
      0.00694869053748219,
      0.158009822799407,
      0.362082542386448,
      0.314965922493729,
      0.30340014035592,
      0.242579201059704,
      0.383887232707062,
      0.319950940050281,
      0.425169005953629,
      0.330595592093621,
      0.360686768885732,
      0.333794020195222,
      0.239745258563063,
      0.229274887480318,
      0.48991002713248,
      0.232014737879098,
      0.462926417886014,
      0.199887396035332,
      0.0882254869789948,
      0.208030616199214,
      0.176033771898262,
      0.168288405410696,
      0.230618384369816,
      0.252619504742744,
      0.220623492498537,
      0.403097881738577,
      0.225172809874573,
      0.274307891194156,
      0.0897271269740299,
      0.0730209870379391,
      0.221931158859967,
      0.162634394636675,
      0.237522129735816,
      0.469969865191204,
      0.236252261858093,
      0.181972417342686,
      0.36779904453798,
      0.194169715186188,
      0.34538756633298,
      0.498963007727568,
      0.418943576924786,
      0.271340866426233,
      0.258966681054106,
      0.027008903220943,
      0.447866027929484,
      0.314795819656743,
      0.430019781143642,
      0.469868547036226,
      0.477753473386523,
      0.0152965572568381,
      0.243601195437178,
      0.368094972965363,
      0.453906442817546,
      0.0891180574926617,
      0.226090427659584,
      0.290759468285004,
      0.207859923669126,
      0.181254032186188,
      0.226688613912494,
      0.262646355145299,
      0.172138667984055,
      0.303168019725629,
      0.0902094781438903,
      0.524104551391568,
      0.22977141940684,
      0.475629776827493,
      0.205434661871277,
      0.250168538177618,
      0.213371668859616,
      0.229579837624439,
      0.126390127235411,
      0.351747112013051,
      0.0800209043570827,
      0.227345132185922,
      0.400380506424878,
      0.241507145115939,
      0.243748370170178,
      0.203641765119714,
      0.232899868863521,
      0.00973918058128644,
      0.197183539700976,
      0.234077872347366,
      0.473359460576064,
      0.253756426857262,
      0.442589495756563,
      0.429779649364152,
      0.352918862896036,
      0.17567639120744,
      0.249971262273464,
      0.177094942792444,
      0.297194287258976,
      0.263402350275606,
      0.145218498230827,
      0.407841058959328,
      0.181134840895962,
      0.376496062911972,
      0.412349469758717,
      0.455165311844883,
      0.106776190467533,
      0.343126564061579,
      0.135641080954919,
      0.468049018931238,
      0.321922602021884,
      0.390038131580363,
      0.2672677000373,
      0.22148168256226,
      0.247974615722887,
      0.339568486818036,
      0.290258301767313,
      0.346881952273417,
      0.284117065643993,
      0.300674437997445,
      0.471212233804057,
      0.350369847769897,
      0.452330898378436,
      0.2685072667832,
      0.247659150213944,
      0.241810711129049,
      0.304015528176965,
      0.19524702473912,
      0.436445177748955,
      0.0831364951565781,
      0.232949053943127,
      0.262767821045522,
      0,
      0.109386232860827,
      0.324380439403426,
      0.307673882923269,
      0.377764825382431,
      0.227865108408587,
      0.199913799929199,
      0.478229490608851,
      0.0237976879543179,
      0.463061773059869,
      0.472678026312106,
      0.454564937957775,
      0.397296149879127,
      0.164026859157573,
      0.0652414038025503,
      0.392032546804194,
      0.2584096353612,
      0.224460090045731,
      0.390390299137587,
      0.343147279403162,
      0.355605150538248,
      0.31723279832273,
      0.360905792274638,
      0.299448438499418,
      0.0920268294142205,
      0.118614698361058,
      0.501027745181097,
      0.18808931033122,
      0.459069351989519,
      0.241933990306621,
      0.180562704522492,
      0.0350471841330569,
      0.328752878942052,
      0.360050311997195,
      0.384592940336992,
      0.247039397743008,
      0.304964369969957,
      0.48340339675193,
      0.325820451075302,
      0.358148380099618,
      0.265086497392208,
      0.243079806101736,
      0.372672054860435,
      0.240561671124875,
      0.282608459380742,
      0.469621786491745,
      0.305436649990518,
      0.363770381784586,
      0.325401972664666,
      0.183784297936437,
      0.106837992333648,
      0.119777067160131,
      0.0700277857540572,
      0.188274914727729,
      0.260922454068003,
      0.226125595686169,
      0.46380923602177,
      0.328521475911493,
      0.439740217681797,
      0.464209706890944,
      0.47833685373924,
      0.349765574771727,
      0.270535171778566,
      0.273919274556158,
      0.434241328517352,
      0.273624196387107,
      0.230511224286077,
      0.271236766078236,
      0.149325487225971,
      0.154539471564941,
      0.176363333633128,
      0.252492935055275,
      0.401947169182677,
      0.306205171261693,
      0.220095060900198,
      0.51614129145386,
      0.20279050204766,
      0.467471168619014,
      0.0831418686736411,
      0.0606687353410012,
      0.206006087911245,
      0.171968585192973,
      0.232164333081489,
      0.383602648194141,
      0.226633431137818,
      0.26285535415689,
      0.392288365509961,
      0.215536724439412,
      0.441810647849831,
      0.460703122367274,
      0.438669359326253,
      0.253135480171265,
      0.262957919243786,
      0.000905830051311729,
      0.490326085165965,
      0.360612409544517,
      0.442777180043686,
      0.435681958822865,
      0.371712511186212,
      0.0563888620920496,
      0.229904645759595,
      0.413449215260972,
      0.248973975595287,
      0.0805608570590772,
      0.190639678400377,
      0.468530319885867,
      0.229723509626836,
      0.366306151539374,
      0.419734836581265,
      0.43043730713993,
      0.179918990523668,
      0.295828965991907,
      0.18870186177353,
      0.468022309399369,
      0.235165276751549,
      0.383673059724685,
      0.27362989125131,
      0.127212087338687,
      0.230475434339357,
      0.190259637922992,
      0.133442568312862,
      0.293754088439974,
      0.162863113884366,
      0.187059082463486,
      0.47387955281094,
      0.245952874077944,
      0.441953641620463,
      0.134245517695191,
      0.264406953666645,
      0.0997751717213795,
      0.210336154643041,
      0.335886373342724,
      0.441067909601011,
      0.248183900621907,
      0.260262080493261,
      0.331343468146895,
      0.297172392905167,
      0.338939607416362,
      0.320667821172919,
      0.175402737334296,
      0.327361860607152,
      0.339599257702871,
      0.211282215321536,
      0.482993510595913,
      0.261176332744562,
      0.19328315450364,
      0.294489238927954,
      0.24465538893475,
      0.214336152933703,
      0.343933354833424,
      0.20917398182739,
      0.342288969551787,
      0.258142570767401,
      0.0851345435007944,
      0.361255405674737,
      0.321285000605436,
      0.21540226002084,
      0.347198810309595,
      0.304584819243415,
      0.351044831314589,
      0.28608061670673,
      0.238570807444321,
      0.507961869061086,
      0.322674949613879,
      0.31860203965598,
      0.253328188820229,
      0.267805426182373,
      0.269267066032357,
      0.305931417912084,
      0.173614476068581,
      0.187788962394352,
      0.0733783506062714,
      0.162789846178913,
      0.449504093024369,
      0,
      0.0246650870996206,
      0.324271714169962,
      0.253891296017633,
      0.0779153351816917,
      0.203678767803979,
      0.150858064178315,
      0.476579301083709,
      0.219074162607121,
      0.37628298013276,
      0.324634471594859,
      0.210228775110135,
      0.226775457327306,
      0.221395392689819,
      0.127214856980361,
      0.146923433249211,
      0.115035061372257,
      0.080259309558775,
      0.495624046880546,
      0.120346988712267,
      0.444820917765101,
      0.465877063468996,
      0.461080013968815,
      0.147416060075122,
      0.25061763205044,
      0.284159954663858,
      0.425286078107416,
      0.0804420843943569,
      0.218544192171515,
      0.309647768766634,
      0.197797360243153,
      0.128269696990513,
      0.155313365922422,
      0.239273590904687,
      0.144222482775154,
      0.221327930831151,
      0.298131473210555,
      0.485980312687742,
      0.112830103058328,
      0.475575991076368,
      0.336578923369629,
      0.213611091609599,
      0.196289792659603,
      0.220814456526657,
      0.102768568231438,
      0.346614698377226,
      0.280213430678644,
      0.092464676369121,
      0.305901450514467,
      0.15231692889412,
      0.0609192007829436,
      0.2693115985585,
      0.212307301356457,
      0.142673853230396,
      0.0919343216286451,
      0.0458226168989636,
      0.49601172043816,
      0.11779305191534,
      0.0957384141279161,
      0.144791024014519,
      0.100372307951899,
      0.123159509660762,
      0.171555319479174,
      0.0846984485731362,
      0.155246890767597,
      0.216047544325552,
      0,
      0.243054348336535,
      0.0378160292965177,
      0.150793815266996,
      0.138491889357108,
      0,
      0.213285127934887,
      0.212125759065634,
      0.238665391786914,
      0.21786672257823,
      0.176737045490062,
      0.157757298091437,
      0.274220192603781,
      0.306055089971424,
      0.151725216910904,
      0.136129391737345,
      0.208827507024007,
      0.135805283945173,
      0.20814754997713,
      0.0607290707216479,
      0.234170374719546,
      0.227802270648367,
      0.116123730748394,
      0.28735210191353,
      0.0983854148267067,
      0.152628135517039,
      0.180716938909361,
      0.161202538902649,
      0.167935799750972,
      0.314506343178718,
      0.261208073412369,
      0.261278044464411,
      0.171131587326241,
      0.257859815194143,
      0.0991051713729314,
      0.256027966654117,
      0.171396592929324,
      0.27719650390112,
      0.110535182454249,
      0.249495349499097,
      0.226146370424983,
      0.167132699108825,
      0.180836504078955,
      0.201075850393782,
      0.145765730327395,
      0.187463418666207,
      0.211399979612884,
      0.148118396031882,
      0.172473192611384,
      0.130186435029757,
      0.254530687164156,
      0.093850992427,
      0.432650048705187,
      0.275763207959206,
      0.143576574250025,
      0.329519932450874,
      0.231517430513557,
      0.227984921751203,
      0.203930558611224,
      0.159598857066777,
      0.0697806428756492,
      0.410420144927095,
      0.102414931388226,
      0.48419826526555,
      0.324309494082826,
      0.208864010083483,
      0.211452294542924,
      0.150428343281097,
      0.321058742303037,
      0.29147639724136,
      0.287225943522979,
      0.36041577578516,
      0.267564350545963,
      0.301128021681422,
      0.415126556470443,
      0.27760317616761,
      0.255532583483943,
      0.255534602611153,
      0.155824457290573,
      0.16338976176211,
      0.281352092253781,
      0.172845855472554,
      0.508217705295043,
      0.165792993957516,
      0.149407684059991,
      0.152858319922759,
      0,
      0.105800094270069,
      0.428490116101286,
      0.320841623162959,
      0.421296023343931,
      0.243417644665688,
      0.404408982040663,
      0.459538808805033,
      0,
      0.432793082350565,
      0.397312394456787,
      0.429294805526582,
      0.270483513830136,
      0.214631072706675,
      0.184080013719944,
      0.478904544978222,
      0.441688453652081,
      0.373344607057498,
      0.206901947771149,
      0.396354186486213,
      0.26737513543645,
      0.278676629848186,
      0.14304256107608,
      0.414048932860243,
      0,
      0.0195560418651142,
      0.502199781808518,
      0.286724976797015,
      0.427538184382483,
      0.296926111191261,
      0.230980952098901,
      0.215412753656501,
      0.285582093651025,
      0.197411412356345,
      0.437694888960997,
      0.032515118608651,
      0.2827265532888,
      0.326605630570575,
      0.361434396029227,
      0.257768813500901,
      0.0448915751257008,
      0.105997418336214,
      0.205902966913021,
      0.299704106318889,
      0.391200514586455,
      0.500446900057316,
      0.410684380591888,
      0.470965264615115,
      0.451371294506563,
      0.438222321303327,
      0.0305804587821185,
      0.221564888748266,
      0.420182264952415,
      0.315407355402842,
      0.294019787588897,
      0.22991176894646,
      0.342123126042689,
      0.429234503649504,
      0.25005234258918,
      0.324796799108892,
      0.342108441942202,
      0.437984145829226,
      0.284271807873144,
      0.238857171445082,
      0.480552942421556,
      0.1319923038124,
      0.442990179421038,
      0.171561424192507,
      0.114354994367429,
      0.157001768569814,
      0.217994422036545,
      0.203509337551256,
      0.248297582181777,
      0.251562396669207,
      0.19184746748503,
      0.404173907457374,
      0.20856772552992,
      0.298288444238265,
      0.180530998678508,
      0.178858995562769,
      0.269702500383526,
      0.2012885982322,
      0.362247423942084,
      0.487661915703377,
      0.206682187868549,
      0.153322202575864,
      0.373079131545431,
      0.199362800212176,
      0.336057034649301,
      0.494892757704474,
      0.416631821630989,
      0.359440136537533,
      0.332202466493398,
      0.0814280819714582,
      0.488686652398241,
      0.36895135107895,
      0.413899416391788,
      0.451276501691081,
      0.454900042759071,
      0,
      0.290573932700726,
      0.357120819918536,
      0.433863442025092,
      0.0970376946299498,
      0.241917936651477,
      0.29523340289047,
      0.138265843201051,
      0.149469269414501,
      0.258115321056621,
      0.252700262939891,
      0.146915043432769,
      0.315211202464976,
      0.115244226772508,
      0.521231299139051,
      0.210767289106537,
      0.450909750510271,
      0.24531528930428,
      0.300798667096403,
      0.244983867622312,
      0.295453488609819,
      0.112305943823715,
      0.358095703510337,
      0.117799413738188,
      0.183113522984596,
      0.421801389747223,
      0.240033669830918,
      0.218348228394492,
      0.282368055244045,
      0.195082126667288,
      0.01297658963783,
      0.232980675148787,
      0.185873503215934,
      0.468854713662323,
      0.220115656791135,
      0.423174482585236,
      0.407168449877306,
      0.339050760244827,
      0.194084370365721,
      0.242074514973966,
      0.106209548516754,
      0.324248234420979,
      0.337073970537576,
      0.0840587396556708,
      0.390571402215576,
      0.265665095689555,
      0.359073615968002,
      0.391829388658589,
      0.431824906199789,
      0.140805394508489,
      0.360667965709562,
      0.134793317994149,
      0.4744013838389,
      0.299997205892337,
      0.375791533773767,
      0.252657961272284,
      0.196246236086128,
      0.321255594347876,
      0.319979357080983,
      0.268364136702129,
      0.306446294077581,
      0.271788414103459,
      0.301717870714438,
      0.461738211885835,
      0.281509480884991,
      0.42809902711154,
      0.274913811207684,
      0.189654012934702,
      0.179856120991632,
      0.303543866941295,
      0.158792198366194,
      0.443000023927172,
      0.119834596783253,
      0.233304593007928,
      0.276386187506879,
      0,
      0.123279876104062,
      0.373592318044175,
      0.265864722815204,
      0.37686279829195,
      0.251594281096019,
      0.25947289813785,
      0.484911159680784,
      0,
      0.440910635829949,
      0.454624411903079,
      0.4366929905342,
      0.265367246582425,
      0.234895004577028,
      0.0453489648052001,
      0.337361531470572,
      0.341199492824935,
      0.402426236058017,
      0.375704708868115,
      0.379317823778852,
      0.254238652247176,
      0.31995344970903,
      0.41187519822319,
      0.323825636041836,
      0.0988165475746194,
      0.165917715668209,
      0.491710622628868,
      0.119934089918087,
      0.455965389809417,
      0.269356438736899,
      0.249519974155885,
      0.0311463313519118,
      0.450319705334752,
      0.380241651406489,
      0.163701741675869,
      0.213400531616438,
      0.347887265970071,
      0.481178407375226,
      0.439480932913974,
      0.33749803646901,
      0.283969942384182,
      0.206525507127522,
      0.249530004729017,
      0.209525844293349,
      0.404171679373463,
      0.486918470138135,
      0.247255606727293,
      0.360892984770862,
      0.336092032270681,
      0.244856640813135,
      0.278589111399359,
      0.148121964176962,
      0.0112340548124964,
      0.233171997877954,
      0.299953011205562,
      0.274300682531666,
      0.452251493051632,
      0.527226262426806,
      0.434616393739393,
      0.444831344760115,
      0.462127717435806,
      0.456759337127123,
      0.337909809473389,
      0.378914674692167,
      0.431031687158196,
      0.175399377036866,
      0.291389624836744,
      0.262709554956399,
      0.103576662685994,
      0.195785140498033,
      0.213714993049866,
      0.246365539076461,
      0.424469678084671,
      0.341839240236705,
      0.182227459480496,
      0.510995198355946,
      0.18458014799547,
      0.445444119804586,
      0.158182415064933,
      0.186431858930425,
      0.238793394560672,
      0.211050777537653,
      0.361358129272819,
      0.381027405165093,
      0.20961164011492,
      0.223813853293841,
      0.377274498804628,
      0.247096444310205,
      0.395399709565229,
      0.458511908580293,
      0.436133512767823,
      0.361263811645463,
      0.33529512638538,
      0.0546824024209185,
      0.472516133954351,
      0.395912731022615,
      0.42684028462286,
      0.4081819834827,
      0.363030951833546,
      0.0991398225007324,
      0.277703568119114,
      0.376119494212868,
      0.226908977403844,
      0.126724601202445,
      0.148580076200168,
      0.444589927745938,
      0.172834582590896,
      0.348439559047365,
      0.404639636288612,
      0.420248681664208,
      0.136708444847826,
      0.30862375265848,
      0.234936379526842,
      0.471162421217397,
      0.243776263937586,
      0.370513430181995,
      0.306552167505467,
      0.186028933673208,
      0.186276035893503,
      0.260770876384869,
      0.157872088877851,
      0.3298468375609,
      0.295951011453931,
      0.143006708107372,
      0.492546080129275,
      0.228744157179771,
      0.423867421481602,
      0.176179491474964,
      0.247471777985221,
      0.0414758475656431,
      0.282960679172928,
      0.247030970984846,
      0.443990789301931,
      0.207071554279525,
      0.333769720002894,
      0.315648632403859,
      0.266432060049206,
      0.360234727256186,
      0.26402286658047,
      0.171262869998918,
      0.318675068663163,
      0.366245028791272,
      0.207461513073366,
      0.483834173864253,
      0.333930383541845,
      0.221744471945542,
      0.240434305946062,
      0.184528588825472,
      0.2647158801988,
      0.351690577866001,
      0.156710927683721,
      0.36056622008503,
      0.295058531656898,
      0.103206914226446,
      0.3583892445406,
      0.34911515040902,
      0.343058445222888,
      0.371485216913793,
      0.247559711687622,
      0.315806603821038,
      0.26286697268852,
      0.213520073596108,
      0.534105313546036,
      0.315493866422544,
      0.314376924244578,
      0.346755924169257,
      0.205982251090925,
      0.221960884168603,
      0.328834173901213,
      0.1463023993505,
      0.185095832857738,
      0.0737797100743305,
      0.1747638574339,
      0.408681324360557,
      0,
      0.0271777675118338,
      0.3266430906472,
      0.277708270876039,
      0.0877081017529878,
      0.207538980181548,
      0.114472991935625,
      0.467955926405189,
      0.260544044802408,
      0.360206521045371,
      0.330277546948866,
      0.227824443231579,
      0.219660940068292,
      0.205833231267699,
      0.14382995804684,
      0.139493883766306,
      0.0713215398678532,
      0.0897611748551248,
      0.492676242581465,
      0.138383525762973,
      0.427898792262721,
      0.448584599140124,
      0.447345848996324,
      0.132330274158057,
      0.258438529097805,
      0.305538760730244,
      0.43877230515176,
      0.0877096918506486,
      0.237649040311216,
      0.35840475700131,
      0.138585951434421,
      0.153105924308677,
      0.160392654419333,
      0.250492650418674,
      0.132044875179558,
      0.293564195364227,
      0.206804058969425,
      0.489794341954144,
      0.0809421831730959,
      0.457274177834479,
      0.307942343430589,
      0.248485521934491,
      0.310544219978532,
      0.249868715489828,
      0.117282857951962,
      0.347079095995049,
      0.350064239832383,
      0.138870251996364,
      0.340779470544151,
      0.125397184171205,
      0.0813065266938272,
      0.302699224800818,
      0.148733003153692,
      0.167996003053543,
      0.138263817670478,
      0.0227702234788047,
      0.49379176948402,
      0.157361242491474,
      0.107132090294267,
      0.133930984117645,
      0.0751596186974533,
      0.143261068118117,
      0.251586436940371,
      0.135121981129839,
      0.176931941196077,
      0.136851094578498,
      0,
      0.182793319791839,
      0.0396745630225565,
      0.113521793660832,
      0.0974224183794299,
      0,
      0.18447360655917,
      0.2033567032898,
      0.186048288602458,
      0.224166859025602,
      0.149085965635439,
      0.122799846148698,
      0.306928883285787,
      0.183367124853323,
      0.211491310971842,
      0.141291882413095,
      0.130580325411411,
      0.149091644944979,
      0.14032719369636,
      0.00451679566754603,
      0.217751367810893,
      0.179495541004751,
      0.139058792210523,
      0.244334102062218,
      0.0839552679793338,
      0.143299722382059,
      0.0929921906814261,
      0.10586913837172,
      0.180504243369657,
      0.254665671410054,
      0.188763976695999,
      0.191137140547927,
      0.132666078045725,
      0.231158658313881,
      0.0797480186837179,
      0.223348795314967,
      0.191629462993309,
      0.255036176769287,
      0.0331238109971098,
      0.247568293917579,
      0.186652369022844,
      0.120089050103596,
      0.0847106655640829,
      0.17597524726174,
      0.113693576276578,
      0.157695743164744,
      0.0781694852465922,
      0.103800034924345,
      0.118108129895725,
      0.0573169253269753,
      0.108069864661797,
      0.0974570714520873,
      0.443833275835427,
      0.231543083634025,
      0.100028480925292,
      0.258865988903519,
      0.129824334492809,
      0.0868677186709142,
      0.13805061326005,
      0.101920054439868,
      0.0527431264477023,
      0.238811743344773,
      0.0373078767001913,
      0.508527457945391,
      0.171669291948634,
      0.167801853734919,
      0.231301169289458,
      0.107580106650542,
      0.21888964964587,
      0.278794141449138,
      0.265842101356613,
      0.357358935416652,
      0.192630089217129,
      0.222780334050568,
      0.334827429782176,
      0.261184515555865,
      0.229877796631349,
      0.230049506935591,
      0.156806053378281,
      0.171347943093259,
      0.15838482909068,
      0.137692940351669,
      0.509849772991462,
      0.120368786445952,
      0.135666219900026,
      0.138157876849662,
      0,
      0,
      0.398892796655379,
      0.282107427252469,
      0.4289542971489,
      0.202733741825198,
      0.277932400732857,
      0.410917103094215,
      0.0373210104258816,
      0.45312532196341,
      0.382308085691096,
      0.399849610308366,
      0.269996816522749,
      0.243540298841962,
      0.186886124000044,
      0.507486500605256,
      0.30837077407675,
      0.339759991283769,
      0.211592171299127,
      0.473557325205256,
      0.253618209627208,
      0.204738596426046,
      0.170398002908494,
      0.38155819281677,
      0,
      0,
      0.451381056176251,
      0.278148521684231,
      0.401711791445616,
      0.293795059277144,
      0.243884170758364,
      0.191422952550632,
      0.325105141622679,
      0.170009237511383,
      0.46397898826742,
      0,
      0.266056086830903,
      0.248936214359649,
      0.243735951886457,
      0.271090425298658,
      0,
      0.147764521815692,
      0.252693453215777,
      0.269026448359603,
      0.326277430253519,
      0.517146180891683,
      0.375877949998364,
      0.4274183607584,
      0.388258550453554,
      0.372444060108763,
      0.0435009315683944,
      0.244669572342704,
      0.426549714094774,
      0.34056075559274,
      0.246544397077987,
      0.242759987688003,
      0.326348366341213,
      0.277892832793534,
      0.37760663487342,
      0.363568217746874,
      0.342179189910479,
      0.415079558658448,
      0.261994178253667,
      0.178543344807525,
      0.517076700126844,
      0.152192796220812,
      0.407088306100897,
      0.180283847183328,
      0.121732594494474,
      0.179012614676159,
      0.189922936427575,
      0.177662766829063,
      0.26470162635752,
      0.232207477773584,
      0.154984057290048,
      0.351747586336806,
      0.151410597299717,
      0.299151595799913,
      0.114805510846422,
      0.10630070986307,
      0.242307097586952,
      0.197661215539717,
      0.321355980301338,
      0.508728858013475,
      0.265979196767329,
      0.226404356035301,
      0.348669386311015,
      0.255240587849909,
      0.344643890444223,
      0.483475456010254,
      0.399441150722914,
      0.24317695671144,
      0.223735445958538,
      0.00701423201754008,
      0.443659742983568,
      0.375334588736867,
      0.383874188780479,
      0.401188086976419,
      0.415684524533655,
      0,
      0.329320949837623,
      0.212134423822559,
      0.470826071813881,
      0.0216205482169137,
      0.215003657828355,
      0.262720471301038,
      0.148866881980957,
      0.100599756841703,
      0.253168316123472,
      0.198259912062968,
      0.145660170812054,
      0.270232796486368,
      0.0861911948515689,
      0.470622646000346,
      0.121329059747803,
      0.409080196265878,
      0.164982225345817,
      0.295826502094231,
      0.239370366538334,
      0.266490656093847,
      0.0974025174413986,
      0.376079480675662,
      0.0926371398890321,
      0.144685622035423,
      0.360989713041863,
      0.241355174907123,
      0.214176334616301,
      0.267101246112505,
      0.196278751220125,
      0.0127556570800824,
      0.190627012033024,
      0.224184580726848,
      0.487608456471073,
      0.240590640739218,
      0.363835680384765,
      0.34643327858016,
      0.29410914498599,
      0.130787446167466,
      0.123780598831616,
      0.100759843986526,
      0.178600662831641,
      0.240564586277074,
      0.0595420060060681,
      0.383448737458056,
      0.225031554804948,
      0.33951159337617,
      0.378394602602698,
      0.396264606010375,
      0.109946885204497,
      0.311612871751055,
      0.0333482824026924,
      0.497549228182137,
      0.214800899176358,
      0.323529485811229,
      0.218861801841166,
      0.104192174877208,
      0.225309397702584,
      0.29924389201447,
      0.234637833338459,
      0.237968996457657,
      0.21234836327223,
      0.155539564980253,
      0.414802707918517,
      0.256594696552757,
      0.395640635244543,
      0.230956114788991,
      0.177433019246183,
      0.172982874897233,
      0.207719091124713,
      0.192745153225913,
      0.467926731363551,
      0.110520921252966,
      0.206059503008706,
      0.263281885779311,
      0,
      0.0920742871569523,
      0.353558167083626,
      0.246318166872723,
      0.238315558573746,
      0.262275943626327,
      0.237657729064102,
      0.466880893063201,
      0,
      0.403912887548302,
      0.400035501105823,
      0.396451694345403,
      0.331570662845386,
      0.252314561856366,
      0.110803108456945,
      0.363371285958295,
      0.2276547557711,
      0.288014814413203,
      0.350794142770983,
      0.350318621001827,
      0.40379358029291,
      0.305446533617676,
      0.396499163597393,
      0.304027357944528,
      0.128429209596275,
      0,
      0.480394057539339,
      0.114885347541982,
      0.405501244029738,
      0.156680861487639,
      0.245719754154801,
      0.0285604673104244,
      0.41502111198106,
      0.377447290719904,
      0.330713152682136,
      0.175931733422204,
      0.366599690387518,
      0.453497038994346,
      0.262482778588436,
      0.349015121447025,
      0.273997867069196,
      0.299403034774043,
      0.428792662122433,
      0.225262949241464,
      0.385857835895105,
      0.500096378006198,
      0.207048187262202,
      0.325323518315193,
      0.300641300235974,
      0.211963723789361,
      0.0860566387388798,
      0.142173670994584,
      0.103912806274396,
      0.168297739588655,
      0.320905983975882,
      0.25044140221814,
      0.459651598619861,
      0.365336562482394,
      0.393135983249526,
      0.436433130278355,
      0.414516461933271,
      0.432770180278834,
      0.321943645370577,
      0.349979640067324,
      0.449938614747768,
      0.155232138560062,
      0.261417408908821,
      0.263026381899888,
      0.133090090002845,
      0.208816050448485,
      0.192126760131595,
      0.240311064776091,
      0.444179139937392,
      0.37763139077105,
      0.200365821734593,
      0.479977360269826,
      0.161137143878858,
      0.405934810056793,
      0.112272209355548,
      0.0992537885939034,
      0.214793336247369,
      0.182799999725741,
      0.316803600068922,
      0.38561686070079,
      0.282803888460758,
      0.264123589304809,
      0.341129370786626,
      0.242895332250598,
      0.415763039153197,
      0.446746498280054,
      0.396228945799378,
      0.235417455076197,
      0.244536429383408,
      0.0302465307291334,
      0.482494184475229,
      0.365946696161643,
      0.389656325105774,
      0.347857036495818,
      0.330869266871429,
      0.0934139251094448,
      0.297188296555237,
      0.233738791642367,
      0.275475044963276,
      0.0989424740472404,
      0.10696154980515,
      0.4082406765432,
      0.143546927265192,
      0.331506396474116,
      0.383416703463627,
      0.380697905554097,
      0.166555322568021,
      0.294307424285936,
      0.0519495080150901,
      0.487010268503323,
      0.217146851453321,
      0.338386325856173,
      0.194269319702795,
      0.155082222929507,
      0.242109131937724,
      0.298168950385955,
      0.14939712515721,
      0.288386994419996,
      0.212875755083957,
      0.0958124006718701,
      0.491885215373121,
      0.228373267610763,
      0.391926203592253,
      0.135550834785124,
      0.263769395070808,
      0.0587210788087981,
      0.293135077139339,
      0.170606526369118,
      0.46210982905216,
      0.236145391137062,
      0.158491493467691,
      0.263141116977509,
      0.198000348672907,
      0.311377954909834,
      0.202134701834992,
      0.242442060278749,
      0.24954826481744,
      0.236698872427592,
      0.128914956967344,
      0.51003533854921,
      0.266634495697608,
      0.144339425659607,
      0.187323982148005,
      0.116963048341897,
      0.185537063035447,
      0.305358913342977,
      0.115904215153469,
      0.345331864654885,
      0.206203804650644,
      0.0649754623484406,
      0.3239671333329,
      0.300258914386054,
      0.236849917662476,
      0.342105810697493,
      0.191053694967038,
      0.235958272074313,
      0.210371207491708,
      0.153095287345552,
      0.507075948433376,
      0.231686400956496,
      0.261601455870724,
      0.250163563459484,
      0.22529776060281,
      0.195573655419114,
      0.217941828628079,
      0.170082906763436,
      0.144755735431462,
      0.0390441566781283,
      0.159215320792817,
      0.374439048161274,
      0,
      0,
      0.31010411394007,
      0.266193982909617,
      0.0730344524347304,
      0.250983961786951,
      0.111722167071625,
      0.496989999498368,
      0.26265038527719,
      0.320667559303006,
      0.314153144604906,
      0.205515362278887,
      0.276109413715296,
      0.247088517972561,
      0.18746324127514,
      0.164614950751678,
      0.0677739302726151,
      0.1352934113789,
      0.438740191243429,
      0.153199684599085,
      0.404382491718764,
      0.408302883108322,
      0.407493601212546,
      0.122049736772387,
      0.310261225733586,
      0.259253819790498,
      0.46272607845827,
      0.10251213464981,
      0.22125723455645,
      0.25958901546991,
      0.275656143346698,
      0.151071698552744,
      0.196593350879555,
      0.201760286764715,
      0.102950667213572,
      0.149796981245855,
      0.205136644041438,
      0.505518837479494,
      0.0638996312382837,
      0.405774872455909,
      0.291955697528014,
      0.279068310618768,
      0.300356217741788,
      0.276221641760368,
      0.145517855707453,
      0.367408761743573,
      0.370315954178153,
      0.120099440604937,
      0.274289197950792,
      0.130663630535996,
      0.120230892066929,
      0.344818917241654,
      0.151286712521246,
      0.0846119388628144,
      0.0887284537144971,
      0.0220261350187025,
      0.52172316484752,
      0.180889936659268,
      0.0986313657131147,
      0.110915836851262,
      0.0608955403724297,
      0.0946430383743273,
      0.231494373139099,
      0.141757139861383,
      0.180730692925992,
      0.0746339602426539,
      0,
      0.192223179243754,
      0.0186136397757833,
      0.103051953829208,
      0.074705688399946,
      0,
      0.109262593750819,
      0.165549795485148,
      0.1487160361035,
      0.215474589430668,
      0.194531498108125,
      0.144945024789695,
      0.217936961798027,
      0.219307617719677,
      0.174380049598583,
      0.0798946496579667,
      0.121481289499828,
      0.062646750710355,
      0.115028377621199,
      0,
      0.158263486080286,
      0.24037543351382,
      0.16413732419873,
      0.220208266599922,
      0.0129306653205823,
      0.134627582905455,
      0.0993193327211339,
      0.0954124850744502,
      0.224308799842694,
      0.263634975955846,
      0.248528511858003,
      0.261506195832436,
      0.106171795629108,
      0.321923073246714,
      0.132633073476385,
      0.131501771071978,
      0.17032261764494,
      0.191802597389212,
      0,
      0.257532616549429,
      0.183988843540739,
      0.109818990544965,
      0.139029723463211,
      0.234453746348439,
      0.14895148166873,
      0.06109826474011,
      0.0885653545543977,
      0.0685760280613922,
      0.0577616751495419,
      0.0878737846865872,
      0.0571645247196205,
      0.0638763028503271,
      0.43013344292263,
      0.148644004985495,
      0.0546984734800686,
      0.291487338307119,
      0.199531022286103,
      0.110659627905806,
      0.0756477115549845,
      0.0519094871286226,
      0.0830412437664573,
      0.219984151624006,
      0,
      0.50046090404222,
      0.133653739009165,
      0.159444028796572,
      0.144334203830885,
      0.0599245945317069,
      0.195128993181333,
      0.207048693138536,
      0.211763966640709,
      0.366472459693994,
      0.222939657927608,
      0.186258163129873,
      0.383782914324494,
      0.209786450830066,
      0.183113075220997,
      0.211752515647153,
      0.223277484588792,
      0.19181194686702,
      0.11739371666957,
      0.18972228274493,
      0.517323414986909,
      0.101780769528995,
      0.133296211618909,
      0.123497767336493,
      0,
      0.0285037559849008,
      0.322607175404459,
      0.250452524075121,
      0.431523147687771,
      0.27350393919599,
      0.389244923762529,
      0.408963497428972,
      0.0703652637037516,
      0.449344112721195,
      0.361044525738275,
      0.384624127895818,
      0.303341238146017,
      0.329536652777385,
      0.146872331177407,
      0.511730659541382,
      0.456730988533976,
      0.411964825150552,
      0.201196607325927,
      0.446249447757911,
      0.308328434748908,
      0.299357299020778,
      0.173496327262249,
      0.399573772934028,
      0.0301722610484084,
      0,
      0.495165297501715,
      0.391074679391673,
      0.387319468386596,
      0.285085312642472,
      0.330176903411024,
      0.232980001067166,
      0.346186028162873,
      0.234877748923217,
      0.474631732394582,
      0,
      0.298681520340608,
      0.380026147520817,
      0.405799231740809,
      0.271673997649902,
      0.0499763274283219,
      0.18802496156846,
      0.284058919800459,
      0.286253697274474,
      0.395924364617863,
      0.512748052375018,
      0.463084324635117,
      0.470289045690113,
      0.412113641508293,
      0.372947029333401,
      0.0547541006468732,
      0.335464860860851,
      0.315689360577411,
      0.363247559705974,
      0.191447242443087,
      0.23464430612444,
      0.391805712069572,
      0.474208355416719,
      0.437353726061447,
      0.341182353813267,
      0.329706651199555,
      0.426442186138651,
      0.321969431835818,
      0.199779705786339,
      0.488308729484334,
      0.198544911888658,
      0.429576756521743,
      0.169050978759227,
      0.18133822683848,
      0.243282212120067,
      0.12174839570802,
      0.178763517565822,
      0.292076210904873,
      0.252002108267905,
      0.210024640879707,
      0.433113503421605,
      0.221367488806415,
      0.312820836914188,
      0.0993952877205506,
      0.122034702622931,
      0.283876137561508,
      0.258689990024057,
      0.38635802123729,
      0.503927436930699,
      0.223003894411156,
      0.21747295560592,
      0.30598111153136,
      0.296996416455796,
      0.334769911088949,
      0.422351171464375,
      0.389439738548374,
      0.296727712746228,
      0.285288583803755,
      0.0160783397919061,
      0.440898254079235,
      0.345653106433822,
      0.362893847845889,
      0.389969021226269,
      0.403569010700448,
      0,
      0.39251292806682,
      0.288832503885766,
      0.474951906600992,
      0,
      0.247114129673864,
      0.31428161616416,
      0.108730528005599,
      0.0664299235446518,
      0.216348933463177,
      0.248192966992884,
      0.183353846650091,
      0.279315044155261,
      0.0170480321375017,
      0.471716149137775,
      0.0940456485729524,
      0.422206272498873,
      0.223745313867588,
      0.354842080611657,
      0.295584387874737,
      0.313761396625229,
      0.114045088399906,
      0.379783926197387,
      0.164500666312522,
      0.0392626373618208,
      0.369238961077266,
      0.22018408226817,
      0.189428087367891,
      0.241354968890862,
      0.206059020754064,
      0,
      0.228360550838406,
      0.225068273976234,
      0.493817571296279,
      0.208874186829936,
      0.380585825837401,
      0.377189152925961,
      0.326658010573333,
      0.110951800206889,
      0.13581522782512,
      0.0837532926329176,
      0.229714107328676,
      0.195466817372237,
      0.0781391732891173,
      0.433653753531037,
      0.211712699367861,
      0.316955912540897,
      0.356572518651362,
      0.384300190899328,
      0.135041525526429,
      0.203697556797453,
      0.0185098451086339,
      0.473258228396839,
      0.172639471179191,
      0.358002229047912,
      0.272348653743477,
      0.136226609899048,
      0.186647031944454,
      0.20598805840581,
      0.239984646441246,
      0.215629272574942,
      0.266939780030487,
      0.172318934847943,
      0.463504422255293,
      0.219375250360285,
      0.377963495578582,
      0.225465792410721,
      0.232700957081071,
      0.177147136000377,
      0.173184932087988,
      0.184106923201071,
      0.45647805219426,
      0.0946554695964613,
      0.181504545935443,
      0.312779626473712,
      0,
      0.0758553753811715,
      0.307382039221073,
      0.242858151259701,
      0.301592124795671,
      0.279390322251972,
      0.331558938764688,
      0.475829612554078,
      0.0521960999406671,
      0.415748205894107,
      0.412023202246476,
      0.381768195494138,
      0.422408920977216,
      0.338732695634455,
      0.142839876120373,
      0.38589778873384,
      0.232746324907806,
      0.323448105687967,
      0.428591313703827,
      0.388207491108472,
      0.447219571998037,
      0.35154771475739,
      0.403387408136923,
      0.393288647073104,
      0.216027476571232,
      0,
      0.476243332671214,
      0.114379592854017,
      0.45646449616161,
      0.149525183668365,
      0.326161610441085,
      0.0048349777539709,
      0.380220830660307,
      0.353693019587962,
      0.381315382384766,
      0.177783468591918,
      0.450419669141676,
      0.44515137585196,
      0.394858953565603,
      0.329713883365444,
      0.270584049979551,
      0.347152479664394,
      0.481129207123304,
      0.32204534226885,
      0.415872954165843,
      0.512989877707729,
      0.20275789522233,
      0.355082152160912,
      0.361124183677375,
      0.373388770748528,
      0.351055682588907,
      0.127958587129956,
      0.10390928199829,
      0.213447577202577,
      0.312553234856096,
      0.253832646293762,
      0.481695295905013,
      0.401701368775921,
      0.399142722948819,
      0.402580122052046,
      0.42922911789989,
      0.376655906373627,
      0.405674966949539,
      0.401454254900091,
      0.434324589832283,
      0.186155917436613,
      0.295616101579217,
      0.343113830380447,
      0.239398329788758,
      0.212723588832964,
      0.179585063707504,
      0.212284025003836,
      0.444791808912139,
      0.351568672035143,
      0.21299299879112,
      0.503394552678939,
      0.206960253565479,
      0.419917988462135,
      0.10578116768233,
      0.0565766072168902,
      0.264851965909965,
      0.182738765797941,
      0.386175458877085,
      0.401945742335786,
      0.231204850081307,
      0.269332130970832,
      0.412367895138523,
      0.283346785977384,
      0.393600283735924,
      0.412217669618808,
      0.372055443258857,
      0.28911001227415,
      0.30128336856351,
      0.0426171467918117,
      0.517044788930035,
      0.362310556878632,
      0.440175233524905,
      0.380569367463756,
      0.342230390971537,
      0.0444054549985903,
      0.250716803067338,
      0.30320614274683,
      0.309499144494208,
      0.00219648308943273,
      0.0984630972662858,
      0.456951116602986,
      0.0928553739723289,
      0.309989873072243,
      0.372426616599406,
      0.379265464321962,
      0.163641930546711,
      0.329754808033415,
      0.0944971231667042,
      0.470637448570366,
      0.15775909294762,
      0.390896080565972,
      0.24072297809183,
      0.198139481037247,
      0.263799470797091,
      0.215587694507237,
      0.132900073116228,
      0.255160532298553,
      0.267888495221011,
      0.125720195218503,
      0.497260276602138,
      0.273739476288886,
      0.3764479857718,
      0.13480192070287,
      0.323485582996086,
      0.04580803572548,
      0.366920465118496,
      0.292057457654153,
      0.466373001813145,
      0.219922607093108,
      0.199040673128248,
      0.276101360026498,
      0.118150035753424,
      0.207349514629454,
      0.245019463897555,
      0.212901354318991,
      0.247745916471929,
      0.26844135968663,
      0.202011250588578,
      0.501735017914358,
      0.237559561912606,
      0.157697870138171,
      0.245096037256545,
      0.111311606547603,
      0.224664661113327,
      0.240389136674231,
      0.134029225345028,
      0.355750404805469,
      0.166415398328177,
      0.053443274073323,
      0.4016428595973,
      0.269778788767658,
      0.178392972165731,
      0.216067943747689,
      0.27521211157969,
      0.238921783409187,
      0.235150562484955,
      0.205171974303627,
      0.515011939568014,
      0.230941887439224,
      0.217757138172404,
      0.207204940371278,
      0.239802249327807,
      0.183931378046943,
      0.191260806521059,
      0.180588734634262,
      0.172935802803413,
      0.0796468784727153,
      0.112224785391621,
      0.450526260503019,
      0,
      0.00525064545676362,
      0.309389922092257,
      0.26899604506607,
      0.0575902992037692,
      0.31734960499915,
      0.115373539943916,
      0.504619617502164,
      0.322971821596485,
      0.398453149478845,
      0.334722880354688,
      0.227781492917719,
      0.239014514925386,
      0.234323781896371,
      0.25942568020577,
      0.16451032463034,
      0.072750066757606,
      0.178144499632602,
      0.477031589580923,
      0.0912559345159508,
      0.38032082578877,
      0.396874748170365,
      0.412907027434306,
      0.138442370796187,
      0.374646506219634,
      0.278598644809769,
      0.446578607905403,
      0.154688658972675,
      0.25928493067458,
      0.289702247266239,
      0.284623570905588,
      0.204955697652236,
      0.220439334836635,
      0.257466358647442,
      0.131399838937609,
      0.312386777450501,
      0.289477634232085,
      0.499964348725568,
      0.0704605305620508,
      0.396703227929111,
      0.356280404137929,
      0.37090473960239,
      0.275623400694903,
      0.350258464359717,
      0.174263994426248,
      0.376299955388093,
      0.3773290124252,
      0.0728094475624956,
      0.319793919717092,
      0.0492923503980651,
      0.137492672012044,
      0.349344907403248,
      0.177071313694233,
      0.11459052223606,
      0.0996990355702084,
      0,
      0.491897149721128,
      0.184386414424498,
      0.0566460870145165,
      0.160063257178391,
      0.00714217202066574,
      0.151910124537176,
      0.28756003807417,
      0.203846483811494,
      0.143512307490559,
      0.0585782292333032,
      0,
      0.204811348480396,
      0.0301491168874436,
      0.0553905326747263,
      0.0762923798936827,
      0,
      0.19254753098159,
      0.178159916044652,
      0.189212888159787,
      0.328333104086832,
      0.195218193846174,
      0.138519626118177,
      0.31902447727143,
      0.138690234733524,
      0.280704110798637,
      0.154616346137096,
      0.16153216767185,
      0.127863664299257,
      0.0994534489845967,
      0.0173874132135423,
      0.236861267945084,
      0.178831643074333,
      0.199191094804878,
      0.272752968254995,
      0.0321869314429413,
      0.164398727845899,
      0.0838667077023878,
      0.151999081097604,
      0.156628176414909,
      0.286344832572178,
      0.262389798685076,
      0.255746624623711,
      0.147525656154649,
      0.262407970670456,
      0.106911557790331,
      0.149419517247337,
      0.20095115023193,
      0.269982800675722,
      0.000686547979170301,
      0.28458592563967,
      0.186932899443621,
      0.132688336821469,
      0.137498208568507,
      0.285952496148225,
      0.17879667361351,
      0.0714411443162094,
      0.0398597875931062,
      0.0522040803273925,
      0.0492944682286416,
      0.117835683607635,
      0.138746539168675,
      0.0569390956702693,
      0.37274838833254,
      0.196723341867065,
      0.102139726615722,
      0.280031846299297,
      0.195183437615096,
      0.0598240460657864,
      0.0624618808064157,
      0.0547091841928262,
      0.133752668846901,
      0.197649365376843,
      0.0352710556022447,
      0.495660361820451,
      0.163495712680227,
      0.162232964910357,
      0.179053732143978,
      0.117198665202125,
      0.25137981891625,
      0.231427971347836,
      0.200885650887072,
      0.317504130168439,
      0.239959004141064,
      0.183792875656727,
      0.391405985076235,
      0.278919065347219,
      0.177131763042082,
      0.258438079747379,
      0.280153850050486,
      0.227377205292965,
      0.117861839285672,
      0.176536698379743,
      0.503746179181273,
      0.131214608923618,
      0.137807219695576,
      0.126303841184893,
      0,
      0.049601740841635,
      0.285950812692354,
      0.246737814219912,
      0.390311713562526,
      0.261893677276998,
      0.389094776239099,
      0.434050832448302,
      0.0740935815747574,
      0.498890874178881,
      0.386568279462198,
      0.409686060775819,
      0.297892805917074,
      0.319568386246641,
      0.180889531213735,
      0.454190397336583,
      0.449746304706656,
      0.38704349115293,
      0.188249855395259,
      0.441696845344457,
      0.236716348303011,
      0.316444348744256,
      0.257231812379506,
      0.404802757104654,
      0.0161568157674005,
      0,
      0.485908162440497,
      0.380589846689828,
      0.415254758272322,
      0.306785492867125,
      0.322711198904104,
      0.235725191722271,
      0.345946833401225,
      0.239748820474012,
      0.414444503121237,
      0,
      0.258465661617163,
      0.385065959848135,
      0.395635649810231,
      0.302358067818196,
      0.0395518771333346,
      0.241235039812174,
      0.228690988729528,
      0.294460083184797,
      0.401194931060931,
      0.517673284726589,
      0.427650911635351,
      0.471693822437143,
      0.421874432789506,
      0.39814759568659,
      0.0528091566440023,
      0.300665838195794,
      0.33011768861414,
      0.319281701106326,
      0.168821710413641,
      0.227017823174524,
      0.409651511359181,
      0.459511867518474,
      0.266549983381918,
      0.326266789880456,
      0.35217439521244,
      0.425870297505502,
      0.38724637406641,
      0.206181891344367,
      0.498843601600094,
      0.147331035544549,
      0.407001290647665,
      0.175660962820857,
      0.180175792671252,
      0.214042143407366,
      0.10929262621677,
      0.194283455513208,
      0.263229763008274,
      0.312768049252807,
      0.213004416038625,
      0.436549488896774,
      0.23689646416915,
      0.294374542384037,
      0.153682894142299,
      0.176596984284273,
      0.299593550574509,
      0.26844541718033,
      0.370883654120284,
      0.474138309271609,
      0.211439538842155,
      0.233678230539956,
      0.224534850408291,
      0.323969232021529,
      0.315754138942244,
      0.334993009906684,
      0.306408969900439,
      0.317624867767845,
      0.301620177670619,
      0.0263234080821115,
      0.485390654227442,
      0.363837571851318,
      0.408789602855344,
      0.433359689813772,
      0.426190121698496,
      0.00551119354130222,
      0.366462235747102,
      0.203826463154593,
      0.3972189699523,
      0.0355110955558434,
      0.228334425319123,
      0.317443271581441,
      0.123271018160481,
      0.136354705034805,
      0.306365473929061,
      0.273224251364524,
      0.20798127111459,
      0.281766507370527,
      0.0159502657568431,
      0.486150812628187,
      0.0973172627133492,
      0.43903394900843,
      0.21067285617844,
      0.351981902429729,
      0.216433807817729,
      0.304498607265102,
      0.120876295142393,
      0.33764810950102,
      0.12422066720534,
      0.0951771084574684,
      0.373466358269352,
      0.241682973914764,
      0.244459355490974,
      0.274847570914374,
      0.229582529333516,
      0.0513807481173381,
      0.228028883092534,
      0.211236770640224,
      0.482467065029238,
      0.23423608854762,
      0.38210039671952,
      0.375970529203542,
      0.298959311256275,
      0.171627024536548,
      0.159990703093476,
      0.0895304722575748,
      0.111751585769374,
      0.197150696091457,
      0.0918548300919873,
      0.475175437508096,
      0.256277485343213,
      0.35496954554776,
      0.3875230121546,
      0.408955892524053,
      0.164524498670377,
      0.245042493906543,
      0.0637850782357037,
      0.444878854375478,
      0.163751385082312,
      0.328417428305548,
      0.241961103699272,
      0.164973108654324,
      0.221698758296879,
      0.239806149769617,
      0.229738071157738,
      0.201307837659338,
      0.181808885607733,
      0.158799701370976,
      0.47785590304036,
      0.279461196909812,
      0.411073486167932,
      0.245607988595263,
      0.273967521179296,
      0.228595170200901,
      0.166155486241984,
      0.190685223977453,
      0.395478217953056,
      0.120908945419304,
      0.146679841006831,
      0.306726650913304,
      0,
      0.11891643454388,
      0.289791700587779,
      0.247780098928904,
      0.245300488136088,
      0.27516641678185,
      0.343692070818796,
      0.512075914836912,
      0,
      0.429140653627575,
      0.421068541270401,
      0.400682640040485,
      0.166229955066013,
      0.300885314652335,
      0.0672420410802088,
      0.308372578616183,
      0.211785349842036,
      0.33400689658141,
      0.436244730764313,
      0.385060289835557,
      0.304407324697797,
      0.388035653766719,
      0.387799384219397,
      0.414261117304449,
      0.230073991215051,
      0.0210148753531119,
      0.477744329022384,
      0.157187966530228,
      0.437915048518439,
      0.164724196184474,
      0.290278490362134,
      0.0155321361719812,
      0.370039803447047,
      0.384612403057332,
      0.151338260096965,
      0.166655291522949,
      0.38969680776911,
      0.47906767162568,
      0.370585920308534,
      0.347175907651647,
      0.301321038843274,
      0.266648941749502,
      0.243066307633881,
      0.316388314418369,
      0.413760847009503,
      0.490519854188804,
      0.248470977433096,
      0.307133419172685,
      0.352484262738641,
      0.373538931673339,
      0.332615777305239,
      0.100540883962571,
      0.0262989725517082,
      0.177031507082753,
      0.32029550594684,
      0.262728750434618,
      0.508775696411279,
      0.396906469809256,
      0.411589486745184,
      0.437343729663028,
      0.444723949021447,
      0.366757489903497,
      0.353114278384882,
      0.410036735368679,
      0.419872142484261,
      0.142131353330332,
      0.269408469147206,
      0.346588355316555,
      0.249338094425573,
      0.214013167979965,
      0.19715355968503,
      0.24314398595471,
      0.437784636273393,
      0.404036074236234,
      0.244379699926754,
      0.507821507821286,
      0.221513585717809,
      0.430206339708834,
      0.147255505870543,
      0.0321159128175619,
      0.28512009281765,
      0.17509389137745,
      0.315265463268053,
      0.372014279619899,
      0.223035152392421,
      0.257464251739566,
      0.407803423530361,
      0.31371775203804,
      0.363440020516425,
      0.33735761336944,
      0.305721090576005,
      0.309839863944952,
      0.321559914398917,
      0.0656746244171096,
      0.492650790714424,
      0.326713661948513,
      0.425869017359863,
      0.390988082270379,
      0.334737841154904,
      0.0934985318090163,
      0.324000850400201,
      0.225870844655809,
      0.322898642663782,
      0.124354727291094,
      0.128284521903418,
      0.460628169767317,
      0.136197847502421,
      0.353944365894903,
      0.413187337730618,
      0.410447848032126,
      0.228612266308943,
      0.337277821091524,
      0.142399455959469,
      0.45542924555355,
      0.186735305405663,
      0.372725563103035,
      0.228217133772107,
      0.183806347963959,
      0.252116148730303,
      0.298771773149296,
      0.17719631468075,
      0.291908911851083,
      0.28640847001938,
      0.103170615335328,
      0.503380413187712,
      0.208385473877758,
      0.405139081709504,
      0.158682056265015,
      0.311105481515841,
      0.128848278613815,
      0.367354650039986,
      0.193143005318764,
      0.386938853193416,
      0.217558033379808,
      0.206107780398243,
      0.261437644904802,
      0.229893739663865,
      0.180132985497441,
      0.225096614781932,
      0.30310228146253,
      0.263611748744368,
      0.242620460691585,
      0.222985812619137,
      0.501099941378105,
      0.279284691747393,
      0.198171859545524,
      0.260319780536606,
      0.155891389623769,
      0.214903889540937,
      0.275283109407506,
      0.138836084055452,
      0.300136450226186,
      0.19456652722553,
      0.0879491979099191,
      0.415303215323024,
      0.271608882575,
      0.213020665652787,
      0.228923829027308,
      0.261934698920485,
      0.192758695667302,
      0.192944951681601,
      0.206901276167503,
      0.497474956251534,
      0.239304252296864,
      0.220373882560011,
      0.226411909731022,
      0.250937941608052,
      0.208915619483109,
      0.215252569451874,
      0.187864329998381,
      0.191590554555862,
      0.0720109357768854,
      0.0990855493614491,
      0.465008788003618,
      0,
      0.0197919342919004,
      0.317876582558223,
      0.270490657139442,
      0.130076412333211,
      0.306707706030558,
      0.139445744312146,
      0.445832790108577,
      0.389403636678136,
      0.359351878374216,
      0.29534809893801,
      0.229546092807295,
      0.291350013454313,
      0.273389440610821,
      0.315434222578123,
      0.179129245548808,
      0.130372596582262,
      0.227456906075161,
      0.479496683928799,
      0.124285181232213,
      0.415468820244114,
      0.426086534422466,
      0.432055399695942,
      0.199045175496237,
      0.35168445145976,
      0.322765648179866,
      0.412806410959071,
      0.129245088487237,
      0.213332750031849,
      0.323900327814333,
      0.317536960535498,
      0.237779418076816,
      0.269051823609579,
      0.275391697433863,
      0.123018141863591,
      0.356438648777112,
      0.242666962261293,
      0.504966615963287,
      0.120333366893851,
      0.43480770137276,
      0.374371287985157,
      0.347362244303804,
      0.295884851118255,
      0.309684566973695,
      0.15652217998122,
      0.305987504535816,
      0.399185162343041,
      0.0929773996488968,
      0.341129105333189,
      0.0439655985542797,
      0.164181993514676,
      0.308929050141722,
      0.210593283695945,
      0.137166164205418,
      0.123792358662352,
      0.00994538434452324,
      0.49154391021222,
      0.216036406579504,
      0.074310353244376,
      0.14415178519672,
      0.0188434732344311,
      0.209683823497599,
      0.29114756189844,
      0.212451373966931,
      0.14842071040908,
      0.110537285323091,
      0,
      0.243317129819159,
      0.0488108193318205,
      0.116423918276465,
      0.0611260421277149,
      0,
      0.187079323970091,
      0.19254416183923,
      0.167228060401695,
      0.245559208573287,
      0.153369291123986,
      0.159629853670634,
      0.304933243061871,
      0.174796626835261,
      0.247380210890902,
      0.195566965023125,
      0.223578171987866,
      0.0438103912274325,
      0.0958775406270498,
      0.0223662976351848,
      0.218257306920826,
      0.247565141651537,
      0.184595046596709,
      0.298512743174237,
      0.0825763265662205,
      0.170167612318381,
      0.136775135621777,
      0.176515244966753,
      0.188765278542682,
      0.314221805163769,
      0.243809925218002,
      0.230789693868246,
      0.214774638667779,
      0.33007807343076,
      0.0674298968455378,
      0.245358258597978,
      0.21280707974824,
      0.276081876919239,
      0.0103185965962376,
      0.318438604579832,
      0.209538531836197,
      0.186738906001353,
      0.116260462202847,
      0.324190848924611,
      0.159832611502449,
      0.0920006512595305,
      0.0925980337697882,
      0.0945554344319015,
      0.0634657708575164,
      0.142651446864378,
      0.112586845813015,
      0.0452860333228522,
      0.361546828013614,
      0.205932511336198,
      0.160258462506503,
      0.308315612409437,
      0.228479582638825,
      0.13382469501166,
      0.120159055315048,
      0.0494895223222215,
      0.131646750702898,
      0.30858638423828,
      0.0480967989990423,
      0.526559298448913,
      0.242383183654637,
      0.186626156898361,
      0.168747126159902,
      0.123021558197027,
      0.246054868113981,
      0.181842944422073,
      0.258380860539575,
      0.31993795713357,
      0.311641881709417,
      0.277882288661543,
      0.353677762873039,
      0.29399690945841,
      0.245935901800017,
      0.26401427790975,
      0.221697240047485,
      0.272182424372774,
      0.175188996664797,
      0.174273547377405,
      0.524424137391467,
      0.146540391543998,
      0.186058814781307,
      0.177802283547479,
      0,
      0.0731836256477163,
      0.321927001468278,
      0.24829766672581,
      0.420250125953487,
      0.3057061040885,
      0.378857109759773,
      0.46739829423484,
      0.165105584158192,
      0.476939493749715,
      0.465235040793863,
      0.484850890760401,
      0.277978665281466,
      0.261945270912063,
      0.20058950002461,
      0.476631345810915,
      0.414674142006509,
      0.376139314610773,
      0.194625154866392,
      0.442781068999427,
      0.38598009120164,
      0.370483382379906,
      0.207668617350869,
      0.35894655826675,
      0,
      0,
      0.476463272987377,
      0.337687763054956,
      0.486033975193315,
      0.31055619720394,
      0.263801965266585,
      0.140536312646658,
      0.308106725454375,
      0.363060456288179,
      0.419154539798762,
      0.0158531142809928,
      0.382205736098833,
      0.323923948489423,
      0.319507946644732,
      0.267943151005408,
      0.0592347506409477,
      0.252826178162036,
      0.396898073615919,
      0.310166556451457,
      0.376962562922483,
      0.498596656286899,
      0.456010377833747,
      0.500502036730758,
      0.486165758065351,
      0.449008127396097,
      0.0647222997192908,
      0.264858824349755,
      0.246851153504459,
      0.276841370284435,
      0.150142875308141,
      0.17542927948667,
      0.440524232125872,
      0.366596746928909,
      0.359759960151419,
      0.433315200665086,
      0.418538831644944,
      0.276467250985065,
      0.39761527774096,
      0.188411448593397,
      0.525151084018334,
      0.249546094558407,
      0.461077008110429,
      0.134488935662918,
      0.192277813106595,
      0.226116125051209,
      0.228992973704461,
      0.193060327485473,
      0.343253018130168,
      0.284803219780517,
      0.165962768486423,
      0.438107937536672,
      0.252350662684671,
      0.349210191721674,
      0.164152474192437,
      0.0981252720938749,
      0.395493283835789,
      0.282762371967403,
      0.376908471142265,
      0.483588560914512,
      0.213368906730381,
      0.255947725047477,
      0.230399158056249,
      0.29867230269807,
      0.288691718596108,
      0.37457229861551,
      0.288947696031958,
      0.332117654363686,
      0.328384618650645,
      0.0396193251043867,
      0.504331403732202,
      0.35854970159911,
      0.47288216237939,
      0.504579755486593,
      0.495819162181658,
      0,
      0.31970456851449,
      0.158230823344267,
      0.378491778917941,
      0.0963665528211468,
      0.231626497746115,
      0.279462389324534,
      0.154108629399713,
      0.167022484406811,
      0.28735115225215,
      0.30232320895272,
      0.233854646721968,
      0.35791205326641,
      0.0886153053527391,
      0.479671057723973,
      0.159172357558608,
      0.494170264963036,
      0.20393206377777,
      0.308147575937381,
      0.276949549148987,
      0.290878904982176,
      0.141737892587316,
      0.340240947799699,
      0.118976196565255,
      0.126255913540476,
      0.338136848722973,
      0.328851089455811,
      0.302415745696517,
      0.337636022072993,
      0.218484931599588,
      0.0427567735080503,
      0.198016712679273,
      0.289641337736791,
      0.505467407780896,
      0.209345173298626,
      0.437926717211357,
      0.423873372905299,
      0.34504375911445,
      0.198056032382854,
      0.10400497452092,
      0.0964246227875333,
      0.245858563976177,
      0.219000956915701,
      0.12793827432,
      0.467967890934408,
      0.187192247392357,
      0.418509100588944,
      0.46025570090298,
      0.485745474838162,
      0.176970958353048,
      0.236361390500053,
      0.0239960480332576,
      0.477124982358292,
      0.23372104896345,
      0.374660588849796,
      0.203019202929262,
      0.197038037486632,
      0.230813286197948,
      0.213563370049694,
      0.30427294313198,
      0.279747239383245,
      0.281651664700938,
      0.273934055142871,
      0.514629706534488,
      0.274800122698142,
      0.484128373523654,
      0.236215298064354,
      0.206110100772738,
      0.285810633542993,
      0.195608664406916,
      0.208447879900073,
      0.384374064166507,
      0.132662072531503,
      0.194063309084779,
      0.259101207799629,
      0,
      0.153516840177341,
      0.316335897761877,
      0.272117729706068,
      0.338018959189721,
      0.347287319704313,
      0.32708726404601,
      0.544823145277034,
      0.0657563447198845,
      0.483537939304471,
      0.48631524923297,
      0.4588340358725,
      0.390405297896972,
      0.262268887114435,
      0.0338946858794885,
      0.396714345458382,
      0.237472047818494,
      0.281929711683282,
      0.394106819629844,
      0.407738734116055,
      0.346361239339421,
      0.393465293442294,
      0.419245626588065,
      0.190623882620622,
      0.15021519796598,
      0,
      0.482095357442799,
      0.205062944462831,
      0.476752171982899,
      0.16621678626338,
      0.273084828837643,
      0.0157904884918943,
      0.267868534422008,
      0.401112421053508,
      0.441282863071119,
      0.148987280574205,
      0.384889751745033,
      0.456195356180722,
      0.343520514213097,
      0.406884493664477,
      0.283534288328601,
      0.40105554805303,
      0.385260715006518,
      0.27188017554259,
      0.358689550881795,
      0.466460107887822,
      0.243868460128249,
      0.367833417831201,
      0.331043683383401,
      0.449545051110683,
      0.195104024436681,
      0.102981129057785,
      0.0378154458405591,
      0.224009763656191,
      0.266200977012541,
      0.340060171875933,
      0.479090510023601,
      0.322474264814567,
      0.487025278721177,
      0.536132730641993,
      0.495510385490071,
      0.323610487755457,
      0.314759569589941,
      0.289254764434294,
      0.381436410209392,
      0.217019720238985,
      0.266201247649692,
      0.315767677166157,
      0.230094362493096,
      0.249527858521857,
      0.259347533257172,
      0.299075053134502,
      0.431453724213492,
      0.359604511747931,
      0.290647258160408,
      0.543481255606457,
      0.253784853425125,
      0.499711208777789,
      0.156390786033808,
      0,
      0.357718192542262,
      0.19215729257666,
      0.355642571564501,
      0.353586807648587,
      0.188780358554844,
      0.31104142446118,
      0.349973374772955,
      0.293491342058489,
      0.342068444591217,
      0.353839518775091,
      0.26386878612541,
      0.323982774619113,
      0.320491932795055,
      0.0742485303407658,
      0.505276099923748,
      0.324965302782156,
      0.448308023737012,
      0.42921858225082,
      0.376156750639268,
      0.0747035338634508,
      0.294769034013223,
      0.171996054300505,
      0.336761193712027,
      0.101066421283599,
      0.0813106143158531,
      0.45031612689203,
      0.208307055212202,
      0.424497205508523,
      0.465283131636118,
      0.47218105049696,
      0.246095931891454,
      0.336394301058306,
      0.0989559812465642,
      0.450178830891757,
      0.210512137577949,
      0.389089884527666,
      0.237530349555567,
      0.17123269078551,
      0.271443433146972,
      0.256558980797716,
      0.188136558933151,
      0.331012347637513,
      0.260095098852035,
      0.114628148460753,
      0.483017152516225,
      0.291278571816321,
      0.480360276109345,
      0.187659112763787,
      0.273529860093727,
      0.0914015832022054,
      0.322354360489409,
      0.29290757832783,
      0.364567235227968,
      0.223652239393966,
      0.2177314010953,
      0.308392727837955,
      0.206677292532858,
      0.236009214416605,
      0.290199790504537,
      0.196641664044214,
      0.353195844221349,
      0.276610498910324,
      0.264626733870714,
      0.503651467851514,
      0.231230755680903,
      0.254829216608343,
      0.309805712317467,
      0.248310733624732,
      0.247831768568043,
      0.21577454535267,
      0.153388905434903,
      0.263869289506234,
      0.228880669493904,
      0.0949761988464594,
      0.398515531237494,
      0.308257479040241,
      0.23633137648482,
      0.211567598922262,
      0.372658001354111,
      0.286190807038042,
      0.289973265977504,
      0.276467543247909,
      0.535886730540295,
      0.245013411108397,
      0.28467967966531,
      0.275023492676857,
      0.240128926400159,
      0.282320143440796,
      0.27364011896398,
      0.206262754083881,
      0.198348087158855,
      0.107180235932957,
      0.165220869941476,
      0.437221635937291,
      0,
      0.0332138787914272,
      0.324906221040411,
      0.283455310788299,
      0.160859481593561,
      0.23813594402187,
      0.130706087639067,
      0.454332982153,
      0.394305943584522,
      0.371769396944407,
      0.314084679344452,
      0.222835041212178,
      0.23759897371475,
      0.341700223005577,
      0.314199099490957,
      0.186610898282306,
      0.167271666042624,
      0.153522959133123,
      0.478741706092583,
      0.149197250634176,
      0.483888779672346,
      0.500816700108418,
      0.487682655401762,
      0.21389476249618,
      0.312050471008631,
      0.314326036433676,
      0.403878278196286,
      0.135153229941695,
      0.232708936075451,
      0.297468444704157,
      0.360452962847101,
      0.22024799007823,
      0.259358453371522,
      0.308414698514226,
      0.100862666685119,
      0.209196937622611,
      0.30677025220487,
      0.506797744611899,
      0.128795270115063,
      0.496644755031945,
      0.362495604405794,
      0.303215381881376,
      0.272225030709364,
      0.284252497565767,
      0.184010436821049,
      0.249602569059062,
      0.321209912192869,
      0.177302424904575,
      0.350277321518351,
      0.0880423833299148,
      0.187173393294353,
      0.297329041416054,
      0.253528472614405,
      0.189154910896615,
      0.149373564986213,
      0.0364663829433211,
      0.516628642127129,
      0.23149542647169,
      0.0758577801202854,
      0.128751205622619,
      0.0425637747702811,
      0.237134762457668,
      0.225156936256554,
      0.249183769639407,
      0.184250219266589,
      0.11968086280196,
      0,
      0.287447168756801,
      0.125360376074427,
      0.148991493987743,
      0.137094404945448,
      0,
      0.2511980108964,
      0.168796919022714,
      0.303879572061405,
      0.315285904817732,
      0.21266941404799,
      0.159760295367418,
      0.338894170229823,
      0.158567547266135,
      0.247066668125642,
      0.170769582021482,
      0.225085866816161,
      0.0914051670313268,
      0.160313347059725,
      0.0672613560822123,
      0.231709649884222,
      0.265500441894098,
      0.22745042904136,
      0.383738533434121,
      0.0860950226798981,
      0.194460121872117,
      0.179419949536593,
      0.164758193273655,
      0.185210261602606,
      0.284855134155614,
      0.281924687743103,
      0.298822225642344,
      0.197858168589726,
      0.297758203754463,
      0.0739653101718875,
      0.225470378842334,
      0.16789886330789,
      0.341467123448148,
      0.0142572916396268,
      0.344824889706014,
      0.217031749357519,
      0.192668016740016,
      0.112962197264482,
      0.278391821769679,
      0.160517611753029,
      0.149805142392486,
      0.0842840814543789,
      0.0770394035313829,
      0.134120917830697,
      0.157292049378589,
      0.0944017412117464,
      0.100619824661203,
      0.401478107240536,
      0.274292271335092,
      0.128861271039171,
      0.345149530341727,
      0.250668076403071,
      0.143343951107423,
      0.120337567535341,
      0.10827633087701,
      0.0583456049426547,
      0.351385245598208,
      0.0664476422278739,
      0.530735052610908,
      0.259400998645895,
      0.189013096177855,
      0.211611590485848,
      0.156564430850989,
      0.303027695291869,
      0.253779001643921,
      0.241723646830419,
      0.350206117323565,
      0.266973439806782,
      0.293165503921204,
      0.399279159381224,
      0.357595210905773,
      0.285066489931584,
      0.302456258383906,
      0.230638764947246,
      0.219092341108858,
      0.14920673185515,
      0.118430149060659,
      0.504394839234083,
      0.192690989893563,
      0.202926326870701,
      0.166443089674897,
      0,
      0.0993462022514206,
      0.331708090821443,
      0.260097253601935,
      0.246396104391647,
      0.292396655392144,
      0.442333922512335,
      0.432544241856744,
      0.149165633645907,
      0.439028074325455,
      0.400786644367728,
      0.402607793025284,
      0.266946255788096,
      0.253412908473455,
      0.199315942300003,
      0.471801593969172,
      0.4662661128583,
      0.356707072513507,
      0.216094341732234,
      0.385915103061524,
      0.374725766940602,
      0.422360612969655,
      0.198937815435369,
      0.375647026823005,
      0.0143531135627017,
      0,
      0.490464062052095,
      0.302807470731961,
      0.423778211985279,
      0.265134826185391,
      0.262894459449088,
      0.156540587555838,
      0.308642951922918,
      0.380616777049803,
      0.433986927648786,
      0.0491131015708601,
      0.334902008103975,
      0.385489464077164,
      0.374703051756164,
      0.24384124593406,
      0.0993042661380111,
      0.255961932662808,
      0.357206986670822,
      0.343383570269427,
      0.426413304571829,
      0.510234005573152,
      0.33377770590891,
      0.458849575367367,
      0.454921956716278,
      0.409543458456976,
      0.0917689294936052,
      0.261580515187295,
      0.256587120780361,
      0.290722581553692,
      0.150405360036534,
      0.19460663720514,
      0.422462940352377,
      0.414823720523229,
      0.31087186312822,
      0.406803315114474,
      0.31350542886367,
      0.287953020748011,
      0.382283946128406,
      0.232876628410767,
      0.516919436918116,
      0.217143923511667,
      0.423662350181743,
      0.154348520137938,
      0.211107221666929,
      0.226246234367979,
      0.246337554739663,
      0.232003512050716,
      0.333226952116811,
      0.300925888784443,
      0.186168864574482,
      0.440010769297043,
      0.284251721877396,
      0.387595649501652,
      0.133276841474091,
      0.0897519595320401,
      0.412462568879032,
      0.290971119703342,
      0.238208354663751,
      0.469047884776851,
      0.222012837596951,
      0.216554320582504,
      0.223701537155088,
      0.190595384635928,
      0.279216282755499,
      0.390820074244277,
      0.237264953040236,
      0.413413440079705,
      0.371440707272279,
      0.0223612288415434,
      0.468203578575424,
      0.327495438739283,
      0.383891561669969,
      0.434796657453276,
      0.439653066928778,
      0,
      0.347819309922089,
      0.195803298387455,
      0.412653697432333,
      0.172265339306398,
      0.194670347034348,
      0.309304345574945,
      0.208009601061369,
      0.128467451206518,
      0.312303289097225,
      0.255376711013824,
      0.217090675238506,
      0.374246025992439,
      0.122215355847608,
      0.509731534549817,
      0.203089258118654,
      0.432387312673421,
      0.187700578729103,
      0.303525472475846,
      0.268621588308185,
      0.306895707615282,
      0.201699923547966,
      0.362155139698042,
      0.149039535463397,
      0.131046880727773,
      0.368927252318216,
      0.306050662340303,
      0.206408082833324,
      0.343896068145296,
      0.195010022589813,
      0.0819747642426043,
      0.218714166411795,
      0.282189381134236,
      0.494231872999055,
      0.244571309646895,
      0.403917850212895,
      0.392817371561712,
      0.310816448974879,
      0.201593335530279,
      0.0846111322253735,
      0.115712831007674,
      0.236883550423499,
      0.294124657100833,
      0.120860789601602,
      0.433406016271148,
      0.29785783302737,
      0.307126298755383,
      0.359067876499832,
      0.39805523196858,
      0.140770814097074,
      0.390184956110559,
      0.108254622239302,
      0.471883445085747,
      0.273648106564379,
      0.345070795619178,
      0.242827645378323,
      0.23740212982104,
      0.257874045225916,
      0.242881451142253,
      0.278179212469845,
      0.327484664987376,
      0.281500835998965,
      0.261522968953427,
      0.496166115866646,
      0.356867825294481,
      0.395016474621233,
      0.300042901016967,
      0.241780428820878,
      0.202288824997956,
      0.218450513649893,
      0.152357399718069,
      0.417900402272698,
      0.155924494558856,
      0.175081136235049,
      0.315631715885599,
      0,
      0.0959336436958383,
      0.314311946448888,
      0.278285668445457,
      0.34615853544102,
      0.319360398399813,
      0.346067664780795,
      0.525869789539753,
      0.0464776235146173,
      0.42459093115584,
      0.444660858104318,
      0.423689390868357,
      0.37160730244123,
      0.256017091769333,
      0.0153281331256643,
      0.381329853281959,
      0.253718166297985,
      0.351291742449429,
      0.382337083076979,
      0.405442061376409,
      0.297445953380224,
      0.33151333150358,
      0.379287534578367,
      0.223224965013495,
      0.12018372888644,
      0,
      0.504443193903457,
      0.238141971884784,
      0.480295060334498,
      0.153625298953987,
      0.281114542667322,
      0,
      0.259644311150644,
      0.442593776142564,
      0.402189205967296,
      0.197530038194591,
      0.337471133767531,
      0.420784776325501,
      0.366204371578786,
      0.305788472486749,
      0.281612183602625,
      0.369930848591295,
      0.349251894004353,
      0.253480943144299,
      0.405695535566461,
      0.459412772711864,
      0.23518557943763,
      0.344034974465293,
      0.31919573943779,
      0.453898836332056,
      0.241700448123257,
      0.123137027714051,
      0.0534858926261612,
      0.228341621585793,
      0.287912273899457,
      0.347340974993731,
      0.460607683227771,
      0.329755908829294,
      0.403136211285562,
      0.426680609673802,
      0.439536405453418,
      0.310377478800497,
      0.323203428341284,
      0.299633162151792,
      0.409346631647836,
      0.199192268994034,
      0.27184909519784,
      0.350075976239653,
      0.265121837470623,
      0.270880635911596,
      0.243791103048697,
      0.256752703109058,
      0.427230191846645,
      0.377615601913548,
      0.260382633499656,
      0.532814694517309,
      0.279288465794856,
      0.427094138224029,
      0.101162251327106,
      0.0165367952619536,
      0.368324327746786,
      0.223647108615279,
      0.286895814352105,
      0.312549032868092,
      0.210988660330544,
      0.20812744624494,
      0.381904432302018,
      0.222340450655513,
      0.298298216245636,
      0.350574421025458,
      0.254480096820726,
      0.397577438344493,
      0.370052900428902,
      0.0810393149820562,
      0.496611901811992,
      0.315186596145223,
      0.419022039105695,
      0.417405832327525,
      0.361168559137025,
      0.117264450622776,
      0.311681467053655,
      0.251807509360053,
      0.276958111389368,
      0.162615663652984,
      0.0765156359860575,
      0.448704987173058,
      0.252287665177018,
      0.327407434412041,
      0.399051556373129,
      0.382441167902831,
      0.226270667683783,
      0.368354489159563,
      0.125014753021359,
      0.465292602707385,
      0.230779710637906,
      0.354147665401649,
      0.213823752470485,
      0.159122983646297,
      0.275342627362297,
      0.350156309307124,
      0.193949227243551,
      0.340302223487072,
      0.337246837993099,
      0.0674579411022807,
      0.46850938845244,
      0.28392312261097,
      0.393005548795881,
      0.19356462890975,
      0.262308086203943,
      0.108582268812032,
      0.32673450820721,
      0.290035984298247,
      0.410409211572054,
      0.266872145169228,
      0.290802067908236,
      0.294390374912781,
      0.269770673893043,
      0.316486770993618,
      0.271010120073284,
      0.297054807700903,
      0.281076882098828,
      0.346524987367929,
      0.283141175491083,
      0.511362996019419,
      0.34024452612474,
      0.206178463092367,
      0.205821403934524,
      0.224837515284532,
      0.284762628368439,
      0.348672983452814,
      0.201094885693939,
      0.305050175973187,
      0.236119758313853,
      0.105960260364229,
      0.413235427913233,
      0.329517163712668,
      0.247095251083356,
      0.277763030514455,
      0.332616905489578,
      0.327860916905993,
      0.265359803043225,
      0.217468126051241,
      0.513611455873207,
      0.344045143191719,
      0.292748114818373,
      0.29594927172573,
      0.27139969239478,
      0.208744262781198,
      0.204427007533577,
      0.14309569059054,
      0.252331654947356,
      0.132951017879126,
      0.158926731496846,
      0.420624022653823,
      0,
      0.0620294481799074,
      0.309418896907574,
      0.289334193408064,
      0.211494768998787,
      0.258763399728865,
      0.228259175406852,
      0.463363191680466,
      0.290729703140837,
      0.337131491079008,
      0.285685451135517,
      0.210458178601126,
      0.270170081971616,
      0.344521609198644,
      0.236659297290715,
      0.159618369240621,
      0.17937411675686,
      0.0336260515177271,
      0.487159545640651,
      0.199028786763429,
      0.397618120621045,
      0.428881456446952,
      0.426037901214442,
      0.228506040690344,
      0.286675100510495,
      0.269009481799039,
      0.433323851444201,
      0.151463062777245,
      0.191996077870844,
      0.404955046119051,
      0.262065320967195,
      0.224628359519038,
      0.165592071487089,
      0.251638698583522,
      0.063620380794194,
      0.399123828099414,
      0.323160485792001,
      0.518095705116702,
      0.0987231656299161,
      0.439163220167081,
      0.341118708549759,
      0.289114365558433,
      0.238388840873459,
      0.31300363713791,
      0.197080871423358,
      0.307685068409859,
      0.314857964600925,
      0.179894820309806,
      0.373697375675288,
      0.0956758056895301,
      0.198462530820094,
      0.278192247680624,
      0.228444296693929,
      0.126861052120687,
      0.125086356887397,
      0.0516308334041315,
      0.516757794136707,
      0.221674462441704,
      0.10223167155328,
      0.174817892784399,
      0.0822127298702795,
      0.203578853138889,
      0.20755558820582,
      0.233587338968119,
      0.20262496461275,
      0.14758380165215,
      0,
      0.286885738590691,
      0.166927507684182,
      0.228523980276216,
      0.192714501750536,
      0.0824095735980491,
      0.289864374639618,
      0.190378262718903,
      0.246056723181328,
      0.328009126595394,
      0.217400033669127,
      0.208117563002178,
      0.302168117524217,
      0.179858188450209,
      0.237657533973704,
      0.138041495583364,
      0.192558436082911,
      0.074102062186036,
      0.248702179933797,
      0.0491921652377748,
      0.226418530193866,
      0.282892225366895,
      0.245157634141329,
      0.359027156290149,
      0.180622396684379,
      0.249707138353689,
      0.188245712878804,
      0.218447968173343,
      0.290243972657414,
      0.274041358305145,
      0.312218867823807,
      0.276164204082524,
      0.218533054066791,
      0.334474905813829,
      0.0609821185111697,
      0.220468518079896,
      0.18553564996664,
      0.287465718686337,
      0.0325118559413566,
      0.353184545466452,
      0.219162804986852,
      0.195756370488907,
      0.107185997859882,
      0.163436294929566,
      0.235026645242002,
      0.177160285906502,
      0.167712108271698,
      0.0868831108813425,
      0.161719610151014,
      0.150500047499194,
      0.123172698769552,
      0.13292795270287,
      0.349692006834186,
      0.292928835737057,
      0.1348716397994,
      0.329089063546641,
      0.254775615018689,
      0.228260825733799,
      0.183371671930187,
      0.139134385217364,
      0.0948620458765465,
      0.325525197404818,
      0.0958563749931129,
      0.512507731576523,
      0.264500355748706,
      0.219485957221583,
      0.23128667721738,
      0.142398245749511,
      0.270169193680852,
      0.261005226182823,
      0.35259501750532,
      0.345069868998775,
      0.367024546752625,
      0.286092035016778,
      0.360979131756516,
      0.325206214856079,
      0.273231594876287,
      0.276876491936737,
      0.178904767041238,
      0.222879842694718,
      0.193223032695209,
      0.141880490984047,
      0.489640165400757,
      0.122179679802464,
      0.243356593869888,
      0.231296665138363,
      0,
      0.0649957977639209,
      0.313983291458894,
      0.155713018787605,
      0.234024184126349,
      0.320601214369228,
      0.249253446463681,
      0.430505737835745,
      0.153260412216851,
      0.409468831325252,
      0.333831851289123,
      0.369626043915852,
      0.30147068629646,
      0.360901637163633,
      0.206523172522025,
      0.458306070340467,
      0.300690962522395,
      0.414077341164157,
      0.181818366694728,
      0.399466751180869,
      0.320647470150964,
      0.301800586807861,
      0.173453598951064,
      0.316257378702932,
      0,
      0,
      0.513849896744502,
      0.199990352786569,
      0.400918803949947,
      0.238681313741087,
      0.355618554238749,
      0.195205170060741,
      0.36072458438677,
      0.232070393529484,
      0.418858866831864,
      0,
      0.366432941406011,
      0.334346356853045,
      0.277044608220681,
      0.156882435300403,
      0,
      0.232829545973677,
      0.334117171087649,
      0.309040619630478,
      0.307419435662991,
      0.518242396806122,
      0.352175767065283,
      0.447261939768018,
      0.422254418151915,
      0.432229340839319,
      0,
      0.384122311982566,
      0.241493862839233,
      0.282023107441821,
      0.0975560611173296,
      0.276656914693431,
      0.407851609873359,
      0.316966837677795,
      0.227279136675741,
      0.344275432118136,
      0.299900173177697,
      0.262591655181263,
      0.327566330959987,
      0.126536426923016,
      0.488546430544093,
      0.0691928560500424,
      0.458579616571419,
      0.172689320816353,
      0.155204886724575,
      0.189852681463272,
      0.22086394616221,
      0.258540432995712,
      0.262206476100723,
      0.262641808714103,
      0.202039222465835,
      0.423843280610167,
      0.291738372453958,
      0.307762342213255,
      0.137501030642143,
      0.0492740243448071,
      0.300635432000686,
      0.285488982638436,
      0.248708478645003,
      0.44146080651834,
      0.226860142658104,
      0.207910659499645,
      0.206558411611887,
      0.120163962882878,
      0.275953522069489,
      0.354175377798028,
      0.272489652502166,
      0.351577626973251,
      0.323244994975616,
      0.0732540144001894,
      0.49108653783373,
      0.29039570274321,
      0.374044043600764,
      0.421658368887411,
      0.448191339244526,
      0.0275614432075976,
      0.431288931614042,
      0.154725604962935,
      0.417358122084947,
      0.064838434413982,
      0.281886179100804,
      0.308884639179077,
      0.255990725433416,
      0.126929397226911,
      0.276648217571751,
      0.246334579587567,
      0.242627508392145,
      0.390151313082415,
      0.14624551445355,
      0.51618557083265,
      0.230260358928084,
      0.445214892151338,
      0.306281319775338,
      0.39270078146673,
      0.315119340283143,
      0.361527129482805,
      0.226028942157279,
      0.352515298596961,
      0.0967120862763377,
      0.175709233278791,
      0.38093189451131,
      0.320998539109856,
      0.190788831105161,
      0.335138658721752,
      0.233617617550572,
      0.0516976330042088,
      0.26401487647229,
      0.261324769621581,
      0.489752808831579,
      0.270273426112174,
      0.392578313374423,
      0.380003202461106,
      0.311491846158967,
      0.211062398953925,
      0.084603088777796,
      0.176719160832025,
      0.310876512696928,
      0.279446536930338,
      0.136334012703454,
      0.406661189107918,
      0.26374694266629,
      0.290298099516209,
      0.332351786729976,
      0.379559285519046,
      0.12669737536829,
      0.318115800187947,
      0.0764743348027183,
      0.432621455206125,
      0.268949080127479,
      0.331030256244054,
      0.267680276289796,
      0.114061961740598,
      0.274164510024859,
      0.263146447070516,
      0.383842989450109,
      0.319116186438826,
      0.344306175133581,
      0.288659232424469,
      0.497915103972198,
      0.338614503482145,
      0.375292447141258,
      0.266127872886721,
      0.16456226877419,
      0.23006606455477,
      0.196734211964616,
      0.160001936673128,
      0.376520164097225,
      0.120775972895078,
      0.192669645778346,
      0.327956215111177,
      0,
      0.0683799163665712,
      0.312079197570657,
      0.205061831994417,
      0.418770233758037,
      0.3320460809254,
      0.203793218376466,
      0.504761105962876,
      0.0281841283122954,
      0.436931994888549,
      0.427991143584308,
      0.444277614223984,
      0.377322274314439,
      0.382832806713389,
      0.0472627895647895,
      0.309796890663912,
      0.274986057299819,
      0.261844486700803,
      0.382702272883678,
      0.360435436775882,
      0.253565132090802,
      0.269131931172453,
      0.295342070071693,
      0.185169679320207,
      0.233082510515985,
      0,
      0.494519816685079,
      0.116889713815884,
      0.454846237910336,
      0.176037439678149,
      0.377356156153277,
      0,
      0.259701234087158,
      0.298648413345136,
      0.307148033707786,
      0.161204106599172,
      0.307339995242112,
      0.417719570636927,
      0.23963574452419,
      0.303683003153285,
      0.277215911819664,
      0.343838753700105,
      0.343819700686478,
      0.351419065161536,
      0.328637173839518,
      0.444369931245116,
      0.228639586224945,
      0.401353814473251,
      0.307367980946803,
      0.280712721242158,
      0.277826773979761,
      0.0886652292494144,
      0.049244102802353,
      0.249361205140199,
      0.267642779791695,
      0.337983714516022,
      0.480576635151138,
      0.238537685541048,
      0.367282877778219,
      0.413650686227687,
      0.447090578834241,
      0.25651987264191,
      0.406526641287811,
      0.277044451684008,
      0.414850088638508,
      0.111712298473912,
      0.270609504923987,
      0.30899174816483,
      0.238291788766576,
      0.226409516323948,
      0.230450903645035,
      0.278385784225581,
      0.418554477518741,
      0.365893384322014,
      0.244543586239517,
      0.514114509775929,
      0.301930315411039,
      0.416546536411472,
      0.0979225946854486,
      0.00563857175203572,
      0.240872556518328,
      0.272888254674592,
      0.37879752725995,
      0.284233553018863,
      0.227543474318625,
      0.186178093042192,
      0.394572455674506,
      0.201887223383574,
      0.278758377131181,
      0.368711257716524,
      0.269252669923845,
      0.338354099268696,
      0.331136287573619,
      0.0558286474046458,
      0.4834824715315,
      0.354444945878737,
      0.452779902622706,
      0.4123826240018,
      0.417342701305641,
      0.0857982528633328,
      0.326385797660548,
      0.219696329004675,
      0.309365016920548,
      0.114359000176513,
      0.149112295808159,
      0.435330459347723,
      0.312971010368642,
      0.305788765675912,
      0.362707431484096,
      0.399957707020931,
      0.190351055513207,
      0.402501456112672,
      0.13920588449138,
      0.454106703764747,
      0.288158409233371,
      0.414078555785525,
      0.289103186298621,
      0.244202855182227,
      0.293018592586786,
      0.333894496380467,
      0.205313160015999,
      0.322918385843726,
      0.220725863750209,
      0.0795493549669473,
      0.467935527766235,
      0.311280906711036,
      0.350112379610319,
      0.217517635331056,
      0.348562061874873,
      0.0873013519715435,
      0.415598618146701,
      0.265759138013521,
      0.3951475501907,
      0.244689534564504,
      0.288666415026584,
      0.341490845375099,
      0.297229735906002,
      0.28355304519273,
      0.37286905596953,
      0.214564949060912,
      0.337769457135002,
      0.34334339681753,
      0.289470559382947,
      0.50537253990827,
      0.267068523660971,
      0.168245564138813,
      0.236406672298968,
      0.2327317571273,
      0.251050475926851,
      0.319128363266924,
      0.190584352231095,
      0.308078826612549,
      0.248109426609447,
      0.106646185193615,
      0.416226364410993,
      0.213380987205415,
      0.27570827603554,
      0.246293515556901,
      0.410299272334928,
      0.281427836653825,
      0.322044829881453,
      0.237682333045972,
      0.503234648325814,
      0.32786708483695,
      0.282444473902289,
      0.337210113070102,
      0.197158282195564,
      0.268941807526591,
      0.199399336834826,
      0.146873694529062,
      0.206192471023967,
      0.140757962790761,
      0.223069932602727,
      0.450313196020446,
      0,
      0.0857674222582653,
      0.30560138491313,
      0.277607211246246,
      0.14169200571442,
      0.322113463568251,
      0.228588500864415,
      0.441518720131254,
      0.265172814309998,
      0.407250508242585,
      0.283611535426474,
      0.275869013727102,
      0.219203588551585,
      0.292037178863335,
      0.15375310390861,
      0.119029599137457,
      0.179960543448047,
      0.108503253172681,
      0.478828032480383,
      0.192264628950019,
      0.388015258045477,
      0.40819062348653,
      0.431527182755334,
      0.217109933091793,
      0.418788526084314,
      0.3114555130839,
      0.417441130256586,
      0.185949135512736,
      0.279220733917912,
      0.358767225059355,
      0.17006391327223,
      0.184726356324373,
      0.142828575928368,
      0.19911614850604,
      0.0672743104442305,
      0.303757894975567,
      0.212628559340983,
      0.5081990577569,
      0.103833567059506,
      0.427132128953943,
      0.358500784622259,
      0.406784981085664,
      0.189856086335666,
      0.390061810972756,
      0.235387850775055,
      0.292036582249163,
      0.291011423768469,
      0.174571567639003,
      0.391962690914652,
      0.0668660872179168,
      0.203059889867126,
      0.245849719535527,
      0.234987067192637,
      0.140027281504143,
      0.154680252023975,
      0.098317639604776,
      0.501366543030429,
      0.209603783846446,
      0.165628292762621,
      0.18931801601107,
      0.0980368212755632,
      0.259535174113329,
      0.22750584825306,
      0.133416724896155,
      0.0971081486070342,
      0.155801922660957,
      0,
      0.387280623136785,
      0.247166922939089,
      0.22369065533106,
      0.230249206994625,
      0.0720502176639666,
      0.318799516008752,
      0.209297281943489,
      0.216655982903555,
      0.319788109537352,
      0.24122922941379,
      0.158293223676248,
      0.283388736196863,
      0.243863318537717,
      0.275520778918882,
      0.0886577039998047,
      0.255635117841939,
      0.159718841576537,
      0.292968264499928,
      0.041994645579904,
      0.251397278945602,
      0.369857353445196,
      0.257981826410751,
      0.35789311267013,
      0.186227987515717,
      0.317330293472848,
      0.229896902476889,
      0.193391846128422,
      0.322048249846962,
      0.351072950537761,
      0.324908562383141,
      0.344528917072399,
      0.22996223519751,
      0.333894305163446,
      0.071663869280465,
      0.223157550239953,
      0.242266749780273,
      0.31778860312834,
      0.0292716995348538,
      0.368564355971185,
      0.25352579461276,
      0.149627842667585,
      0.118752920568127,
      0.221893405310736,
      0.250442560192994,
      0.190717794447154,
      0.173227184298986,
      0.134675386468879,
      0.230688344579713,
      0.162471010561765,
      0.194235845313077,
      0.178348255857355,
      0.368643077452975,
      0.258441008707006,
      0.152441886621752,
      0.33951772902237,
      0.349767473983001,
      0.188976091690594,
      0.185385826689016,
      0.227144528063184,
      0.107453168958284,
      0.338078149794905,
      0.151342582523183,
      0.489075564893559,
      0.273048576584034,
      0.194452798752539,
      0.290362881743827,
      0.161089956920501,
      0.306532654172141,
      0.343155157032628,
      0.315004241607331,
      0.408099705195469,
      0.271293367507264,
      0.305552936348487,
      0.403275153398711,
      0.302332490346394,
      0.35181813084694,
      0.312869786920745,
      0.189996300513378,
      0.252249657455171,
      0.250725696893445,
      0.217081260311785,
      0.483019098308928,
      0.256746128239008,
      0.234450500873341,
      0.230828177385539,
      0,
      0.0898998543121567,
      0.295284574714066,
      0.157237419152418,
      0.218733070671908,
      0.289991733083299,
      0.380770168862364,
      0.424547686177778,
      0.133683548647015,
      0.408222568287296,
      0.322190918555455,
      0.356827562453334,
      0.300436545728209,
      0.319293429529237,
      0.214943099485716,
      0.475235555742757,
      0.365027186295078,
      0.400820592212207,
      0.206640810083251,
      0.302402206652499,
      0.317865832701888,
      0.281924602277686,
      0.153325812151772,
      0.314017122346559,
      0,
      0,
      0.506685472733985,
      0.177112506634911,
      0.414566181207169,
      0.231041766791834,
      0.303856095685417,
      0.198383567463533,
      0.379611619232224,
      0.234344567614743,
      0.400512162005883,
      0,
      0.379326066287321,
      0.330842295199229,
      0.37527893543559,
      0.160447028061187,
      0.0589469666990175,
      0.231244474015698,
      0.327767226078626,
      0.199828349769251,
      0.395090015877585,
      0.516950879011098,
      0.310803151564117,
      0.413383480479744,
      0.392823267377738,
      0.400073890903079,
      0.0502290683120445,
      0.333246816100978,
      0.206889082240267,
      0.266344389180957,
      0.107573769198483,
      0.280353979430508,
      0.375006972794095,
      0.376939067876995,
      0.258776646535453,
      0.368941626571475,
      0.294310385246933,
      0.266402635045069,
      0.313347093605676,
      0.186221164197774,
      0.472365028738553,
      0.104230973217284,
      0.425034156846452,
      0.198924957018894,
      0.247013274222692,
      0.202870572760135,
      0.250284754509243,
      0.257428287831474,
      0.272602456933958,
      0.25602838409927,
      0.169555210114881,
      0.419250016358918,
      0.299926645236033,
      0.296447687846951,
      0.149464047531462,
      0.0777172765608681,
      0.289806458440329,
      0.289951284175331,
      0.284062507549974,
      0.453686022235376,
      0.283470402859844,
      0.124502546673623,
      0.245722085584022,
      0.108366339394702,
      0.292926886595435,
      0.34351640945941,
      0.235465585519484,
      0.221700338942139,
      0.27709143105907,
      0.0798290451747322,
      0.478154059475258,
      0.331583776073294,
      0.34301213052818,
      0.406918866999225,
      0.425957251648959,
      0.0253690988483231,
      0.388512290403941,
      0.295244617270847,
      0.419161470910292,
      0.0213975466587491,
      0.263129319528559,
      0.298132925313106,
      0.271308466124688,
      0.134360687724289,
      0.288707930479991,
      0.315669327240803,
      0.227200474752538,
      0.392545636469989,
      0.189972317560405,
      0.510239028852031,
      0.245192581766031,
      0.402818916284189,
      0.345144110318484,
      0.340156462958855,
      0.285293354114483,
      0.411450716932682,
      0.216181307543182,
      0.372262133596968,
      0.124342551320404,
      0.205454296552158,
      0.397871337905631,
      0.294933747918784,
      0.197347071232556,
      0.341331874191569,
      0.255604980783847,
      0.0829050703383197,
      0.270106451576995,
      0.255198588500067,
      0.499428938700271,
      0.295408759506622,
      0.370290982870425,
      0.362058720690191,
      0.291606861793027,
      0.192500121471852,
      0.183051650438571,
      0.208950156579394,
      0.308710881028068,
      0.31009159867153,
      0.167889830576419,
      0.414889925661825,
      0.381428639129034,
      0.30050120197833,
      0.311647321763522,
      0.350121391031274,
      0.152359929046577,
      0.387154216023242,
      0.115885446218775,
      0.449686254836326,
      0.28379219954791,
      0.323483330605409,
      0.291326326357019,
      0.26001569569468,
      0.323308677529646,
      0.327438799388027,
      0.320562979530714,
      0.407068233191097,
      0.278583114826116,
      0.258789104541913,
      0.499565460007483,
      0.316518955540197,
      0.403904736254551,
      0.302541812503348,
      0.214468405425404,
      0.208575240260691,
      0.271948265829034,
      0.210921388326675,
      0.38906248184708,
      0.154332187268748,
      0.206674084838856,
      0.267946031634185,
      0,
      0.111962203381119,
      0.301454936428141,
      0.214498692240589,
      0.308059769074393,
      0.256406006475568,
      0.263357017865638,
      0.493895814846401,
      0.0968736152783617,
      0.386274795517126,
      0.404144294682125,
      0.411514775348814,
      0.465491807410196,
      0.332411094091359,
      0.0870108572751103,
      0.316538903692,
      0.289999668839786,
      0.334500392490037,
      0.37539883861957,
      0.406891301689001,
      0.259647808448372,
      0.257901654093872,
      0.298671083514536,
      0.209726431118913,
      0.220836197249244,
      0,
      0.50207632119305,
      0.0999393573613064,
      0.428575989333368,
      0.141532759614625,
      0.323701129430256,
      0,
      0.277178912555188,
      0.265528867491496,
      0.36392044938114,
      0.161929141397659,
      0.305298521455833,
      0.428131279072381,
      0.299721525403379,
      0.281725194750549,
      0.300024733788263,
      0.375484522761372,
      0.404351803189834,
      0.308570341685228,
      0.352994211862824,
      0.458576115435415,
      0.239777548858698,
      0.367560759114198,
      0.300766816419762,
      0.243438523885137,
      0.373450606010408,
      0.0501457729946861,
      0.0479541363782993,
      0.260133256295269,
      0.185017158263778,
      0.334919216574337,
      0.493642818019148,
      0.306273533362595,
      0.354992221803068,
      0.413277225825468,
      0.411239751404936,
      0.244996973087007,
      0.348712322268439,
      0.27489199230214,
      0.426761638339762,
      0.165489702901409,
      0.263206653162511,
      0.245903882700678,
      0.257361585426052,
      0.222960972397667,
      0.271395627745337,
      0.276592178055724,
      0.407708913152868,
      0.365895858713993,
      0.260618833658006,
      0.517573305007696,
      0.273411769385331,
      0.412621069481634,
      0.122351648801794,
      0.0173676765666902,
      0.230623841576859,
      0.275404345011544,
      0.301169139261659,
      0.294879184616913,
      0.275694702061741,
      0.151389130567538,
      0.342357920958564,
      0.226347300037981,
      0.289004260931355,
      0.371969497954434,
      0.268502057497993,
      0.227677336126003,
      0.290375219068045,
      0.0810485359501811,
      0.489608713462996,
      0.353624794265032,
      0.387343720327173,
      0.38696531648085,
      0.391604719902625,
      0.0888952713611194,
      0.27506941183845,
      0.342730173336087,
      0.29825752799688,
      0.0407131185767445,
      0.205905207515181,
      0.415707717837975,
      0.313832772111991,
      0.299339952087288,
      0.385436215828328,
      0.402910138629916,
      0.16520343710683,
      0.380809970892692,
      0.199026983300505,
      0.45591791503288,
      0.296619760243955,
      0.375246820631759,
      0.309831320900582,
      0.209401727146934,
      0.26231282414122,
      0.35003907835562,
      0.201710768222264,
      0.328584717973455,
      0.264307417943723,
      0.0875650341997772,
      0.449702213050733,
      0.26281006304712,
      0.348586947924332,
      0.232634071199037,
      0.331177291286356,
      0.0790960547965445,
      0.370573555899189,
      0.383823053175999,
      0.377939851830227,
      0.298653213173186,
      0.347103686384937,
      0.29417676571997,
      0.346331383715529,
      0.337198335496289,
      0.347890194410331,
      0.280479494378322,
      0.348482629763014,
      0.342173854674804,
      0.263611134577403,
      0.524273630721776,
      0.387308614990335,
      0.199596722722409,
      0.252319770716979,
      0.258243342712311,
      0.244520452521467,
      0.349293433680494,
      0.189420030425532,
      0.310536175710725,
      0.262951957567275,
      0.113547352631481,
      0.370290322707341,
      0.301782493205246,
      0.301691519582491,
      0.326388573261277,
      0.329259411178649,
      0.406702723128363,
      0.324428874421535,
      0.194077396812282,
      0.536499327404173,
      0.328849152450146,
      0.360821907936039,
      0.321589243934191,
      0.22795490855691,
      0.262768623835888,
      0.221724173324618,
      0.178764248686466,
      0.197237779158819,
      0.151605405049365,
      0.219388620727974,
      0.430895938162475,
      0,
      0.0648808706676351,
      0.310666850425147,
      0.265767650152744,
      0.0762920443675112,
      0.315494864623625,
      0.190527883156005,
      0.461431129698972,
      0.28756095506315,
      0.343163232425864,
      0.283468217086969,
      0.26349794335705,
      0.215490628537292,
      0.255405141910285,
      0.146464829143156,
      0.161519505315495,
      0.139745157144785,
      0.132019580301008,
      0.449996298067834,
      0.23484586019828,
      0.3621603097288,
      0.380845893874797,
      0.394406120175632,
      0.148208502385164,
      0.376553342855145,
      0.326795348188215,
      0.401039794987505,
      0.197705466185804,
      0.247679247505798,
      0.361325417616381,
      0.167123303849596,
      0.190170418998037,
      0.189674824217858,
      0.251836370995182,
      0.0840335760085885,
      0.302437027124783,
      0.288948812507661,
      0.478821595938218,
      0.0851943207379313,
      0.389549250918583,
      0.373558494031596,
      0.357375464751087,
      0.195634584702786,
      0.348945462719697,
      0.245853389978183,
      0.261279161617327,
      0.286482353488495,
      0.250675275849544,
      0.354146968360036,
      0.106511687234098,
      0.186798279222292,
      0.215894484410062,
      0.22323063322812,
      0.186581458357747,
      0.131426628729558,
      0.122753783845745,
      0.526370254095254,
      0.180236849505038,
      0.202834630791952,
      0.212161013943675,
      0.172778517756794,
      0.215450683021377,
      0.264750398807846,
      0.126317615564549,
      0.130283455248518,
      0.164091473104751,
      0,
      0.342615904155339,
      0.258062407059666,
      0.275419659989402,
      0.266896635279653,
      0.0579451917606754,
      0.294745306101819,
      0.232319312234751,
      0.188843137294148,
      0.308711116774565,
      0.201052147144848,
      0.173337331782112,
      0.304278535235701,
      0.261991604290956,
      0.232606708867058,
      0.127968851563345,
      0.2559791847547,
      0.181930236782197,
      0.2850241877322,
      0.083571747241648,
      0.251401669651217,
      0.300681916725554,
      0.221535732133234,
      0.33028173382749,
      0.233144714105826,
      0.267791176859578,
      0.221479546620108,
      0.21856315289036,
      0.356589178267308,
      0.3334215283137,
      0.279086778169115,
      0.261665813748334,
      0.24983759546664,
      0.3173885853519,
      0.0590686305209955,
      0.196831047834293,
      0.251313393930693,
      0.318833027352606,
      0.0814518258977926,
      0.310626963636485,
      0.242754356413777,
      0.139728965198929,
      0.18800359332776,
      0.198658813599434,
      0.236342094791234,
      0.19530606778519,
      0.26607059482027,
      0.220855807642606,
      0.220127872015042,
      0.184545499723712,
      0.259506729381458,
      0.228653059611959,
      0.401673900484936,
      0.262291923868825,
      0.172965416452524,
      0.357533523713515,
      0.232126530473357,
      0.239741154930462,
      0.263317994641442,
      0.226381372703677,
      0.170679199451508,
      0.316422026443566,
      0.218912830752114,
      0.483488014591151,
      0.25927454263283,
      0.237811566114544,
      0.32723016853752,
      0.183199188575457,
      0.332344771368515,
      0.361638754790797,
      0.378503777097447,
      0.369751965289102,
      0.313769734357552,
      0.268690008753699,
      0.339396248496456,
      0.306615409830693,
      0.299861825461326,
      0.300407968989313,
      0.207324673304465,
      0.307364146585535,
      0.280568608120852,
      0.205378769725356,
      0.473344288544653,
      0.155190296845776,
      0.181955994195753,
      0.193649979826665,
      0,
      0.101965367455539,
      0.304530711408273,
      0.242088281060981,
      0.246349614781614,
      0.300818201767248,
      0.24684168368756,
      0.434631001557375,
      0.0951597223330375,
      0.378932443107912,
      0.388468120269098,
      0.427341816801295,
      0.359607303180217,
      0.40454749109318,
      0.175162108670627,
      0.495309173400454,
      0.337658278171098,
      0.395161579623753,
      0.214737208697583,
      0.329131260650062,
      0.289250220640374,
      0.258782357063454,
      0.179932132840632,
      0.355194795702691,
      0,
      0,
      0.486531909564905,
      0.247464593012087,
      0.425261942717785,
      0.257639522038089,
      0.40034041217796,
      0.33647269089439,
      0.427406668195113,
      0.156462561635049,
      0.414188666877061,
      0,
      0.278333877699398,
      0.32520849601553,
      0.286416723566067,
      0.214684179724166,
      0,
      0.243987646801746,
      0.203792645185912,
      0.235930536870718,
      0.322328716140539,
      0.499642182065914,
      0.33704277212569,
      0.456832247348177,
      0.424914034059513,
      0.44639712447065,
      0.0233980140670478,
      0.400262736621749,
      0.198069324307567,
      0.342337375790063,
      0.184528731967679,
      0.229505665352245,
      0.368048858818896,
      0.256270924779345,
      0.253079195702973,
      0.322282539647068,
      0.351646864740726,
      0.351100700361894,
      0.316339467864395,
      0.128881853265145,
      0.486114059381222,
      0.0874828925444901,
      0.467963732920592,
      0.206166414899618,
      0.160970368917984,
      0.163378174164654,
      0.258503808927476,
      0.259864673347695,
      0.257123002870975,
      0.276559141975266,
      0.305030067123842,
      0.420268625106257,
      0.257501202288973,
      0.26809349549483,
      0.117026443506759,
      0.0750019528515871,
      0.317039546445074,
      0.206576779142812,
      0.28327636930101,
      0.458763261080626,
      0.282560527724495,
      0.138671227430938,
      0.243829957351925,
      0.14016380560356,
      0.263994445517607,
      0.335106749729374,
      0.269487450904778,
      0.290467799917524,
      0.294428883270074,
      0.0643840696575266,
      0.457348362315885,
      0.355735787307257,
      0.414815317251075,
      0.443424364598982,
      0.452280741402359,
      0.0432824729709749,
      0.440513807304052,
      0.278943803388141,
      0.461592692141815,
      0.103446967640036,
      0.292791602821289,
      0.315234301377513,
      0.281597776096862,
      0.15468263164266,
      0.298016331068084,
      0.317970342175602,
      0.219011760428604,
      0.37525655911185,
      0.238986830218985,
      0.492303933276459,
      0.241694852711655,
      0.444275456533994,
      0.344305139537618,
      0.437698959449099,
      0.2840791439604,
      0.40385850544743,
      0.187247779560121,
      0.32573443739703,
      0.114785135976352,
      0.174666397586205,
      0.419138887107567,
      0.32740058304433,
      0.239635427507872,
      0.343750297393871,
      0.260879099939436,
      0.0750693355265649,
      0.31751982593873,
      0.280050712456201,
      0.495789089329793,
      0.28376882956821,
      0.38709531593043,
      0.393361533841394,
      0.30167098729824,
      0.229941637121755,
      0.271028956889277,
      0.223373884970031,
      0.327995399844186,
      0.262891361683089,
      0.18717746201607,
      0.423390611824826,
      0.30930610935368,
      0.373023493164009,
      0.391307194657077,
      0.413926097858118,
      0.248019492346246,
      0.328172341364884,
      0.146314745194558,
      0.456846509936309,
      0.301773528415386,
      0.316005010779785,
      0.311329230773823,
      0.23484613126561,
      0.34168999832743,
      0.370163132130777,
      0.354938220871854,
      0.377214804870317,
      0.256636733200672,
      0.239719276098887,
      0.484231103814,
      0.314383574888597,
      0.43002122317838,
      0.291472223703889,
      0.21286991740426,
      0.313875416262313,
      0.300470111150902,
      0.235288437673628,
      0.407720360169643,
      0.143225144610232,
      0.209554687105706,
      0.292984900165483,
      0,
      0.148891442736579,
      0.304614552001289,
      0.240313186701078,
      0.227473192716594,
      0.327547883101837,
      0.245978092979087,
      0.472839940860063,
      0,
      0.463377285446376,
      0.428052147200242,
      0.465495085676894,
      0.186882618480402,
      0.400320381539984,
      0.107590433427064,
      0.341196881716804,
      0.312323394126315,
      0.227556996711977,
      0.400094547643457,
      0.388478109022426,
      0.300983708250809,
      0.312645345913203,
      0.33966590804348,
      0.240533346066861,
      0.298563181739963,
      0,
      0.508749711461362,
      0.103474573109614,
      0.446134308201419,
      0.127855143337318,
      0.400052451855725,
      0.0138634123987882,
      0.299056107827333,
      0.308611580660608,
      0.150911602502595,
      0.169164569113563,
      0.299377441520025,
      0.453133566555916,
      0.231982841749268,
      0.342483227641639,
      0.245094651549524,
      0.304104840751535,
      0.198497483865406,
      0.400211080296905,
      0.338795375773463,
      0.481788658179676,
      0.237435788435645,
      0.417298221424725,
      0.306159639892517,
      0.330106899822167,
      0.275756191794229,
      0.0601020712188179,
      0.112598087305883,
      0.31189095956471,
      0.223777462864363,
      0.267110883171702,
      0.481493970219975,
      0.224305656811142,
      0.423253188132067,
      0.438671772634017,
      0.447410193104172,
      0.175270114854866,
      0.434964732804659,
      0.193407997423399,
      0.464956131751307,
      0.158511167153943,
      0.27716406217197,
      0.250804256175265,
      0.170469406664329,
      0.227299435759745,
      0.256045932550633,
      0.263033961622149,
      0.410391132239643,
      0.386361456354698,
      0.272609532770549,
      0.517337803731492,
      0.285991428525894,
      0.434626508188786,
      0.126163099211051,
      0.0484571007212033,
      0.250337903525915,
      0.188829161394311,
      0.332196256637576,
      0.328390910055823,
      0.284535642528248,
      0.220061539637415,
      0.348477027024377,
      0.21546253400944,
      0.274676079709339,
      0.343823394001021,
      0.27184249170254,
      0.310841385569209,
      0.337032422814703,
      0.125188220240991,
      0.49886960189423,
      0.379781178066439,
      0.465664608092848,
      0.392884704466186,
      0.429065694348049,
      0.109895055061465,
      0.291339439708814,
      0.275424792797469,
      0.28136803305933,
      0.0660460206686274,
      0.231929121132889,
      0.443332387060239,
      0.277639951914932,
      0.346605623429514,
      0.398544377355753,
      0.417493447713878,
      0.160980667598636,
      0.416080893174533,
      0.209877573533378,
      0.506639532086401,
      0.279352299593923,
      0.395070672634743,
      0.297258118998485,
      0.269935205990339,
      0.280440084786744,
      0.316844225381792,
      0.225448570343623,
      0.3231377958836,
      0.206221366665753,
      0.196744058469159,
      0.44927102626575,
      0.264727277028878,
      0.411565264513916,
      0.347183074731636,
      0.405649404453644,
      0.107536639106123,
      0.439759760071834,
      0.263230505826915,
      0.424488218136201,
      0.300447186830914,
      0.313787327869385,
      0.316280810509339,
      0.345724522898763,
      0.4250450053143,
      0.310704039557025,
      0.205213223067899,
      0.398168332568551,
      0.27246975910031,
      0.24578145891369,
      0.506792172835797,
      0.326369250812656,
      0.25241670024173,
      0.276738699502127,
      0.228114448176593,
      0.278227986544711,
      0.330741388574143,
      0.199647466018944,
      0.37289899291936,
      0.267824487077741,
      0.145357760489157,
      0.375346286289055,
      0.282993059049315,
      0.337355296759104,
      0.353399968725397,
      0.308274921422217,
      0.389395515578699,
      0.274737554867337,
      0.243133372628169,
      0.522130320847197,
      0.298236922407005,
      0.301689804581426,
      0.348843456123534,
      0.241764456742019,
      0.30813554753809,
      0.280889328677449,
      0.220994137580406,
      0.187616527573603,
      0.176202898804735,
      0.189310137357161,
      0.426248181925697,
      0,
      0.0564552066959183,
      0.29094275971365,
      0.333191905374539,
      0.0987008105766459,
      0.375518788424624,
      0.213738308449197,
      0.492624990710308,
      0.257588169519842,
      0.427776441040812,
      0.269726279728479,
      0.311304181912343,
      0.229010403812018,
      0.279063121586458,
      0.229651232972683,
      0.152712498150951,
      0.180373745317245,
      0.160264762256348,
      0.443605787209612,
      0.234946519030161,
      0.410682791109766,
      0.432609158320524,
      0.435148970782847,
      0.135058030842949,
      0.441714505590312,
      0.345540693615086,
      0.466007209864211,
      0.201378457937097,
      0.269453280697033,
      0.400589794010591,
      0.253612296219716,
      0.240676405794609,
      0.238330639289923,
      0.274973257328748,
      0.0704094802108963,
      0.332916700871632,
      0.223404143657244,
      0.462084150875216,
      0.117263235774697,
      0.4556877455218,
      0.370907492098719,
      0.435403669838257,
      0.20816744062357,
      0.411650558459785,
      0.225910749367492,
      0.282837869039877,
      0.268530920078982,
      0.204531721688227,
      0.381408367304458,
      0.16833091897258,
      0.18488559430568,
      0.246704816898522,
      0.222350863717083,
      0.20151655993179,
      0.173322477403187,
      0.126534237666457,
      0.507321311677917,
      0.195165673113876,
      0.195355320302897,
      0.214837757085363,
      0.187246958645301,
      0.230461942495018,
      0.224729264241875,
      0.172007902180246,
      0.163297570189712,
      0.175441993499708,
      0,
      0.30003413840987,
      0.217481195125219,
      0.250323936360279,
      0.255050909981124,
      0.0195535676505151,
      0.308558566463181,
      0.226714266221029,
      0.186580395504744,
      0.251232735374764,
      0.196960386008558,
      0.182765434899502,
      0.295041201893141,
      0.285764416180422,
      0.242495580309711,
      0.162162674611272,
      0.252888946429527,
      0.223112837173561,
      0.266227489612208,
      0.1282078832683,
      0.22270464197586,
      0.334183528028661,
      0.207500503291232,
      0.357015857623574,
      0.18639079332968,
      0.242349889800676,
      0.208328368852351,
      0.231964271853712,
      0.295702196960472,
      0.30883524506827,
      0.262737574968608,
      0.285423323797617,
      0.213572918205614,
      0.307654333970451,
      0.0960777510226393,
      0.156781355915488,
      0.265512932012066,
      0.328372477890111,
      0.0742558643407888,
      0.322976934950393,
      0.258236930968785,
      0.129095343032117,
      0.215829204967813,
      0.241252954732347,
      0.209097403414091,
      0.214375292666593,
      0.18012158041056,
      0.185445165937359,
      0.248105835417852,
      0.187937001313891,
      0.298822203894533,
      0.191989025569453,
      0.422037769448485,
      0.278712732116953,
      0.169364077694038,
      0.281960798700416,
      0.301540866861842,
      0.230075853660934,
      0.21551039188728,
      0.214589043189147,
      0.124967276278302,
      0.380447489338871,
      0.222839972601452,
      0.495242626476924,
      0.314017063864592,
      0.224755704646054,
      0.36141838844843,
      0.213944919777893,
      0.326491329326854,
      0.326082930938622,
      0.328756283299387,
      0.366213498712174,
      0.32859599589262,
      0.270227943339261,
      0.382384462703547,
      0.326880938144524,
      0.300738305913945,
      0.31727035800911,
      0.184681847186943,
      0.328781461645077,
      0.245187780024403,
      0.207870676850707,
      0.499861650578944,
      0.231231201701343,
      0.18785838270952,
      0.172066308503181,
      0,
      0.105101896065326,
      0.263016007571701,
      0.203276133583442,
      0.271994061731535,
      0.284898836050186,
      0.391615266332634,
      0.39734947037371,
      0.0461861483370525,
      0.399661819931192,
      0.412739725756102,
      0.45519350527129,
      0.358779224688588,
      0.446724174933914,
      0.20141944946151,
      0.50534059206217,
      0.373206761315314,
      0.448040415769645,
      0.212104214812179,
      0.34590249174308,
      0.423796448129937,
      0.346488078386963,
      0.216191327176808,
      0.344540316044412,
      0.0788915186603194,
      0,
      0.428062681887543,
      0.157877570828061,
      0.466229348564908,
      0.255161913405393,
      0.446646781280905,
      0.301449389605301,
      0.447796878679163,
      0.115867288352738,
      0.483685873961185,
      0.029739527470623,
      0.352250596272229,
      0.324557087598127,
      0.410339384252194,
      0.273600710248606,
      0.0259652566531406,
      0.249133553601152,
      0.31756496399204,
      0.261759636308841,
      0.365800739101443,
      0.500433219952141,
      0.315728553272715,
      0.483060243857371,
      0.469352684794693,
      0.503136016208374,
      0.0560613614946521,
      0.438796048476245,
      0.220379763609039,
      0.373407096047236,
      0.182099177105809,
      0.205585344963547,
      0.379390353940325,
      0.324805347019959,
      0.295891957280141,
      0.36547514846656,
      0.367102638061308,
      0.349682543685101,
      0.353942634671715,
      0.187847767448398,
      0.510515788326919,
      0.346682018735623,
      0.505885619014527,
      0.181433292928157,
      0.178038839304542,
      0.186108845645206,
      0.230034571696093,
      0.236165960660411,
      0.252719211525306,
      0.291112126335977,
      0.274841835999266,
      0.429256542905753,
      0.248645196283846,
      0.290972146259625,
      0.124338566373788,
      0.133671961738802,
      0.294841309751196,
      0.219221573847448,
      0.305633994547825,
      0.481771336044833,
      0.267499944032432,
      0.183495864192851,
      0.229114108409311,
      0.197076624960363,
      0.260202557701754,
      0.338714325736629,
      0.272302398152671,
      0.280953527191377,
      0.27467949457552,
      0.037992204049892,
      0.435687974642228,
      0.36671950643956,
      0.444864418603441,
      0.466129972080212,
      0.491555655551158,
      0.0699474564562979,
      0.474090586661644,
      0.309754736098034,
      0.493298944915936,
      0.161117443229409,
      0.327874274027688,
      0.32107102948448,
      0.251031921128558,
      0.16590873459332,
      0.274365304122196,
      0.313104251215726,
      0.190160703133085,
      0.374608618177645,
      0.204429466488058,
      0.490493294614037,
      0.245897429364831,
      0.496627227710006,
      0.300388791383418,
      0.474913426170628,
      0.26012232713255,
      0.426247854123941,
      0.186112419349454,
      0.37145330553692,
      0.178341526725365,
      0.158339408098073,
      0.369521359367472,
      0.286523400516112,
      0.26901173883491,
      0.322263520931655,
      0.272824900571288,
      0.144686143197761,
      0.353697200456828,
      0.348012766599206,
      0.513779932020021,
      0.263465617134899,
      0.440521518419632,
      0.427430486393005,
      0.35193087666215,
      0.255778767117826,
      0.285630298115485,
      0.206427692457623,
      0.294914040308933,
      0.271637647251486,
      0.169072411559625,
      0.422780356797212,
      0.328827421483758,
      0.381360131084327,
      0.416826035773487,
      0.442334713931371,
      0.203059560508427,
      0.377301657459896,
      0.176169183596511,
      0.469461208743126,
      0.303322113340369,
      0.382930643500816,
      0.29261048524756,
      0.282418252572569,
      0.320328511272707,
      0.341090492841355,
      0.310070023346544,
      0.351907700772741,
      0.295165780359332,
      0.242798963834912,
      0.465390482437668,
      0.297748245943871,
      0.453538999426972,
      0.285083726036816,
      0.223794706084373,
      0.295578275974051,
      0.263685870831525,
      0.235666001517958,
      0.440571913034439,
      0.173532690695793,
      0.2109420261314,
      0.294353741792486,
      0,
      0.164575437434571,
      0.263944125225488,
      0.22876519646822,
      0.247555501443291,
      0.331975424317222,
      0.216819055429244,
      0.478603979330565,
      0.0209808270742184,
      0.485806200329627,
      0.472114505813572,
      0.497485972020264,
      0.373864684437631,
      0.440285250932334,
      0.075634515237242,
      0.387037417214141,
      0.324806205254887,
      0.352117002059969,
      0.357548814004357,
      0.354453804773587,
      0.383719461920504,
      0.33876954053754,
      0.34810779400502,
      0.222505290197696,
      0.345514573989251,
      0,
      0.524729713875657,
      0.131160025040879,
      0.511882623259515,
      0.186694111386569,
      0.440270408547357,
      0.0798928226518512,
      0.302522707130345,
      0.295111426159698,
      0.406047839145721,
      0.182345225512597,
      0.249558742184886,
      0.436217892343508,
      0.283976498748894,
      0.356717625771311,
      0.246789981827702,
      0.350267384975624,
      0.311714879102726,
      0.442405812004325,
      0.348085293629657,
      0.521083027474256,
      0.234814638311913,
      0.452644120531659,
      0.316077467479004,
      0.336569937431672,
      0.36584068963308,
      0.0805410637078344,
      0.0852227565432984,
      0.230169428258982,
      0.212556615841188,
      0.254270206534781,
      0.479991058820224,
      0.282447954771591,
      0.450297892128763,
      0.483062508873523,
      0.501474335959062,
      0.166747266811554,
      0.474153323077753,
      0.157003097543845,
      0.495156859621835,
      0.319624553081129,
      0.321760517735863,
      0.276205754254317,
      0.221496437530946,
      0.233459038530543,
      0.254701991783693,
      0.295496448137391,
      0.412009111735977,
      0.410562057901975,
      0.2781247832027,
      0.502251847305346,
      0.282251863385837,
      0.483965381540446,
      0.116849754637216,
      0.121759895497179,
      0.244417562882403,
      0.209553059205833,
      0.315086517218952,
      0.362351121784725,
      0.270507123819547,
      0.23875280177662,
      0.328973674013672,
      0.235329851490455,
      0.295721601397183,
      0.338808292153018,
      0.292542757085983,
      0.268856840719233,
      0.369501331180193,
      0.104387047875613,
      0.489900174142425,
      0.380780061135724,
      0.497868199886569,
      0.429937354416364,
      0.455120705276564,
      0.121317982615115,
      0.318618041329687,
      0.355520124774446,
      0.303345432269956,
      0.146387634218407,
      0.229769247811527,
      0.396873754409826,
      0.257560800268385,
      0.364299289095204,
      0.425438098434477,
      0.441980930269993,
      0.143487108197382,
      0.443939831830907,
      0.214132819716261,
      0.540245629466255,
      0.25169002540099,
      0.454055429865041,
      0.284378885845179,
      0.312857997963852,
      0.255251422894224,
      0.257382711528471,
      0.219661396403877,
      0.319430312953561,
      0.305058785758369,
      0.261961038706209,
      0.457932177746364,
      0.236201541520635,
      0.443423847601223,
      0.279410978774487,
      0.442299769648197,
      0.145554513362545,
      0.470982813894436,
      0.353028916477694,
      0.474861231863693,
      0.257376441902364,
      0.271456302633572,
      0.323792787805869,
      0.292095388927959,
      0.398454795581277,
      0.298172879654583,
      0.217369301147215,
      0.359789980173295,
      0.314486765943834,
      0.247230055810505,
      0.452620874968828,
      0.360214810654738,
      0.267681301164428,
      0.310940436168025,
      0.240111301942091,
      0.274006458944374,
      0.353781306109824,
      0.229159234866044,
      0.34015584801509,
      0.288562472933371,
      0.153694635861719,
      0.335666929160655,
      0.362455044209966,
      0.308004442058549,
      0.342380494842547,
      0.295805258302932,
      0.35913254274215,
      0.307405447642294,
      0.257859112815087,
      0.500566581615849,
      0.289426850455832,
      0.282172607093323,
      0.299979263762377,
      0.270503910353095,
      0.308621899733591,
      0.265252583432982,
      0.233212066688372,
      0.232766465985158,
      0.191543624033423,
      0.175098845113926,
      0.383328390466145,
      0,
      0.0958051641519583,
      0.298227383460925,
      0.378921754607443,
      0.0453004494193058,
      0.422040725135998,
      0.21264895418948,
      0.488148525939321,
      0.366636543019481,
      0.456692049278218,
      0.311409864738305,
      0.338646950636682,
      0.221863360944946,
      0.335581833826431,
      0.286663450680622,
      0.146110911080726,
      0.17228096523168,
      0.15406088407448,
      0.435432581224065,
      0.208387528815817,
      0.442698641673429,
      0.470286093936746,
      0.495077263428767,
      0.187308071269864,
      0.481436737459131,
      0.321300167366285,
      0.505203014256659,
      0.202197041953,
      0.330398334474618,
      0.299930953614427,
      0.295050556690471,
      0.219267697055796,
      0.267334505479989,
      0.275854914527443,
      0.0494908920642931,
      0.286028784228093,
      0.299709986352438,
      0.470470899511461,
      0.144014276595757,
      0.499160847808695,
      0.369748486355695,
      0.475250468592169,
      0.235862432229408,
      0.450884902253262,
      0.210149213851859,
      0.352885692780118,
      0.251346588255713,
      0.186757415496169,
      0.362259889268465,
      0.187568740058439,
      0.224486569731075,
      0.268928499366269,
      0.219667518563212,
      0.219209830620436,
      0.194295421462655,
      0.168017325394446,
      0.467164186534237,
      0.197565259575007,
      0.203789378488775,
      0.19859017255752,
      0.170810621165755,
      0.234766788447326,
      0.245445374029956,
      0.211333470589087,
      0.172673711556735,
      0.171504175301263,
      0,
      0.262199128525789,
      0.200182455308785,
      0.194974534325017,
      0.254854206951471,
      0.00556823397104275,
      0.261349934993714,
      0.2208054510748,
      0.158533905053248,
      0.257441131204416,
      0.169166491375289,
      0.167572724788838,
      0.271224794131059,
      0.239204076645082,
      0.175555029668446,
      0.187057893528316,
      0.225990689396711,
      0.189153832413124,
      0.252036639335737,
      0.0677306495852995,
      0.190636566093945,
      0.268978009097488,
      0.199178484436639,
      0.284440612082821,
      0.151629894598315,
      0.30982349809524,
      0.216351633467883,
      0.213512029382097,
      0.295688675475831,
      0.309209781467433,
      0.260509105917807,
      0.234969644298423,
      0.199597467181679,
      0.288556018472226,
      0.107293367843174,
      0.18280992947608,
      0.27164032884189,
      0.310791854551876,
      0.0935098451773774,
      0.347186367709923,
      0.233516659308458,
      0.18621466327651,
      0.217170148488044,
      0.304792036001084,
      0.219216443411915,
      0.203310505688183,
      0.190580379748918,
      0.166964850837178,
      0.201411618883938,
      0.147858418177821,
      0.189662775817604,
      0.160003826025187,
      0.433920622699342,
      0.308522037745243,
      0.166217630799293,
      0.313856650726348,
      0.269363693505865,
      0.249687248755897,
      0.208529540779015,
      0.171418816338438,
      0.139842949456704,
      0.356708775219553,
      0.173814547000075,
      0.485511194204065,
      0.312223714467539,
      0.222011881676715,
      0.315913514515132,
      0.16314203482417,
      0.332461114498397,
      0.329129918525305,
      0.344802779424482,
      0.405338417172618,
      0.350567901464596,
      0.28805155435148,
      0.379800913322959,
      0.354879970817305,
      0.293332073765846,
      0.300382275190359,
      0.182676924877269,
      0.310348539889071,
      0.216731416349915,
      0.240091103660764,
      0.468328268606175,
      0.161228973637489,
      0.290741676348487,
      0.259909025573593,
      0,
      0.140821818301877,
      0.290312200539564,
      0.303434004088514,
      0.269436043903921,
      0.325218994355493,
      0.272431336040502,
      0.461441934503314,
      0.0639718046390834,
      0.383932245875442,
      0.430723958879445,
      0.467766373545367,
      0.357759696421552,
      0.403340735090165,
      0.207124743932989,
      0.500858873700587,
      0.318698656150971,
      0.42223854208507,
      0.24575606513037,
      0.311389365474956,
      0.357248308647001,
      0.290227799402824,
      0.140650278449107,
      0.401110210603557,
      0,
      0,
      0.460619990432165,
      0.109245974023344,
      0.467340887913531,
      0.262002023527367,
      0.40501947762463,
      0.27032469165394,
      0.409442247950277,
      0.0753120147649824,
      0.42788202620561,
      0,
      0.319033854594104,
      0.282006341891785,
      0.325240159258145,
      0.291863128225031,
      0.0150649690934028,
      0.198067273909959,
      0.259001419266159,
      0.286487440450473,
      0.34546579642282,
      0.501357996275744,
      0.31976175434684,
      0.498241135088065,
      0.501940620951011,
      0.506628071776462,
      0.0482449114262004,
      0.394156934512657,
      0.216241923791322,
      0.311557399461555,
      0.274261393442815,
      0.265934955368836,
      0.386323239722724,
      0.181712697265567,
      0.259483162787755,
      0.36173661663022,
      0.386907409474007,
      0.397665866298015,
      0.31345491461916,
      0.174081478472639,
      0.506019340911146,
      0.226048243535647,
      0.51947970635644,
      0.171303206764897,
      0.190472444302305,
      0.203408925427112,
      0.256734492393987,
      0.330112269806555,
      0.274296127838124,
      0.306962475940957,
      0.224678256596136,
      0.438422856740604,
      0.251598077449616,
      0.293534238536652,
      0.109158703765825,
      0.0384264669168615,
      0.276513563011582,
      0.263186760588996,
      0.366842965217438,
      0.466076141493829,
      0.252002998749087,
      0.194126805007784,
      0.221325594752813,
      0.210665078887148,
      0.257198712717064,
      0.312156662350039,
      0.257054383113851,
      0.286103302052231,
      0.256110356479116,
      0.0500762192920521,
      0.497569198627209,
      0.38460593989641,
      0.446410616332424,
      0.483993450821395,
      0.501422413788125,
      0.0281935813852211,
      0.435758981233552,
      0.291220411824173,
      0.480450443247294,
      0.162811978765678,
      0.272159213406775,
      0.337672185970569,
      0.263573284190452,
      0.157755368769522,
      0.248133036845902,
      0.270094265160468,
      0.200185922402282,
      0.308228101130574,
      0.140279009112826,
      0.512715816550571,
      0.233510398485263,
      0.504205155733533,
      0.31818357962052,
      0.435619825529503,
      0.277526465365624,
      0.385542316376051,
      0.174817755677155,
      0.35025791549551,
      0.15565414885722,
      0.158738376956709,
      0.385655018606121,
      0.31426006736099,
      0.240395618283425,
      0.327097261983858,
      0.225354633489363,
      0.0965147605646928,
      0.321988382104318,
      0.343516894407803,
      0.486458849025069,
      0.259788331499977,
      0.476782472504956,
      0.470791728914749,
      0.402866824838576,
      0.199041475704102,
      0.181282514007777,
      0.185080703486738,
      0.25827747408786,
      0.256402019719918,
      0.162541774365564,
      0.465005955020701,
      0.301934352687085,
      0.381038120208937,
      0.435631136196814,
      0.463631276842228,
      0.155391599118092,
      0.319837458676447,
      0.170618752693335,
      0.481511983976771,
      0.280934798412856,
      0.432090593797226,
      0.335088244901388,
      0.219631294206821,
      0.329009000897107,
      0.319271914269206,
      0.349701746411137,
      0.360891985467237,
      0.283525826747147,
      0.253305501229719,
      0.498458896716216,
      0.372373243757186,
      0.470659196172508,
      0.320133391169937,
      0.243570995881053,
      0.354580171860245,
      0.236686782108478,
      0.242411931667682,
      0.447713902717144,
      0.169950403573857,
      0.224558670300079,
      0.287576831739407,
      0,
      0.19045305175746,
      0.284423897886195,
      0.314036242672694,
      0.271983114865337,
      0.286815439739766,
      0.273631465459126,
      0.504722939757528,
      0,
      0.48783165308854,
      0.502452931340511,
      0.485938178465048,
      0.285641458656263,
      0.395194732709685,
      0.109137611748651,
      0.373002919561876,
      0.219682516824682,
      0.239166047639606,
      0.38239466734681,
      0.384793118476021,
      0.275935069437324,
      0.332651144274864,
      0.356551998929195,
      0.230130210181445,
      0.299202791911797,
      0,
      0.521304708159804,
      0.16807367090582,
      0.495218272591401,
      0.162756954848738,
      0.387686003581055,
      0.12227558438379,
      0.256492085541348,
      0.364757613772134,
      0.242321924527663,
      0.216382341306086,
      0.176513026774029,
      0.47492596989593,
      0.132472522605171,
      0.372522252759493,
      0.244343015370595,
      0.30084480540783,
      0.183542957325431,
      0.391378250959467,
      0.358020420032012,
      0.490303228818197,
      0.195544595797147,
      0.421947645046628,
      0.361893763477492,
      0.376816507340494,
      0.242346445587857,
      0.125361488098198,
      0.0669394703505967,
      0.229445551067396,
      0.16871873077767,
      0.156397153764784,
      0.486249517427623,
      0.200721363425346,
      0.470549463863123,
      0.483724332038082,
      0.502723848738186,
      0.222784307101333,
      0.437711011358458,
      0.227120202211158,
      0.465007868437445,
      0.20783278753791,
      0.302801254591991,
      0.294602241300427,
      0.267525844113219,
      0.243232022588648,
      0.282401259781334,
      0.3373303688598,
      0.451294722723361,
      0.407260660560623,
      0.28177184001815,
      0.524327957859527,
      0.257096351068737,
      0.498690162506267,
      0.10720149058794,
      0.0586850900457938,
      0.269146358787587,
      0.245539460938882,
      0.337727743434351,
      0.375197603434828,
      0.252691365036153,
      0.250133075900533,
      0.38334810324294,
      0.204009215504806,
      0.301113421356779,
      0.346170912929631,
      0.269603601628788,
      0.226212617980358,
      0.345149366129393,
      0.120311893968158,
      0.499926377176772,
      0.376798080023091,
      0.499227604022371,
      0.467219046607792,
      0.429399824284901,
      0.123781368719882,
      0.301697755654936,
      0.322837211558471,
      0.283189814065334,
      0.163484966890089,
      0.207946326671664,
      0.41143160804504,
      0.266968170048532,
      0.375680388999417,
      0.432017664292566,
      0.450166500310173,
      0.136926281796653,
      0.393046809518966,
      0.154840262915135,
      0.503486343606975,
      0.293922471147141,
      0.432104131718119,
      0.269507308361752,
      0.262108907154736,
      0.269614370220122,
      0.261964138496604,
      0.225526827078157,
      0.282610959296185,
      0.255441983773486,
      0.26148271052873,
      0.509526199645922,
      0.266358135400198,
      0.458255090058737,
      0.241105745216179,
      0.405080603155584,
      0.131403799746279,
      0.428931002264611,
      0.302697075874537,
      0.458372097525877,
      0.261869150021075,
      0.284801350771128,
      0.360189416087042,
      0.285516501417571,
      0.37821760296409,
      0.28843091490161,
      0.235139339930087,
      0.320504829769609,
      0.330049425511946,
      0.323984491207419,
      0.480354860950229,
      0.344407154135045,
      0.30353645663729,
      0.418575592703865,
      0.243790157786075,
      0.313759766646861,
      0.326380345730873,
      0.267921028204137,
      0.358282757567355,
      0.283667461746012,
      0.130178527833302,
      0.372506325101035,
      0.362371879773182,
      0.305628602433801,
      0.319784431506765,
      0.320583493239764,
      0.372935301538901,
      0.290837265990952,
      0.230207053648293,
      0.51219741972761,
      0.310822517608697,
      0.297138894490459,
      0.307495599084028,
      0.301157361327465,
      0.348047070782399,
      0.291059868851076,
      0.238531368729042,
      0.287859480826747,
      0.212606919617451,
      0.187841904866219,
      0.461959643398314,
      0,
      0.143719668758012,
      0.320481694419704,
      0.361295415101854,
      0.067992894679785,
      0.403789519643778,
      0.215934704104226,
      0.463326360967732,
      0.391423989371609,
      0.453813896556544,
      0.361574837658664,
      0.287192782797318,
      0.184388640412108,
      0.266853095574048,
      0.267923776011147,
      0.12161835195856,
      0.206965092127101,
      0.137674264412818,
      0.444436605737751,
      0.26179931638467,
      0.466276442565508,
      0.485234894945744,
      0.496544444461561,
      0.203004381167193,
      0.433482174447544,
      0.327264639734848,
      0.442049272410901,
      0.120118121722105,
      0.285378887135065,
      0.303804121246662,
      0.279320083391362,
      0.206840187094452,
      0.264956099908589,
      0.252912194293133,
      0.0288993526321162,
      0.375715101179134,
      0.216956734524293,
      0.511925942117633,
      0.107849224015054,
      0.498232523408848,
      0.35790647609046,
      0.434750560307576,
      0.186970576352736,
      0.40456942779928,
      0.243029044803198,
      0.351203629540812,
      0.249305117072597,
      0.224654332607375,
      0.392364074185581,
      0.183972375993045,
      0.21558831784729,
      0.243163229355644,
      0.245490122890929,
      0.244697130284152,
      0.20328880715974,
      0.161156026912632,
      0.481012125844348,
      0.169573066037861,
      0.228955498077044,
      0.190933474164348,
      0.20665872374565,
      0.223917458775582,
      0.163476661050963,
      0.295570728540226,
      0.231901225721326,
      0.191850905608868,
      0,
      0.222734715465399,
      0.187462617341026,
      0.184175039918462,
      0.25948201806134,
      0.0221234077668026,
      0.215269390287537,
      0.180180157109117,
      0.162588236762134,
      0.274250639248234,
      0.216225832281245,
      0.141184269849356,
      0.281357386119169,
      0.32139628858915,
      0.130266239657952,
      0.149883409132042,
      0.280575268813223,
      0.1781597225653,
      0.241930513015495,
      0.0565247380558624,
      0.147195212865108,
      0.353166332484005,
      0.215029015216404,
      0.26220886832679,
      0.125141925359756,
      0.288903503822193,
      0.220369362058386,
      0.198438341129111,
      0.214995477676434,
      0.28099447568284,
      0.296774326523847,
      0.320206992676739,
      0.193461234197604,
      0.252846537739585,
      0.0981254896278165,
      0.236640359069931,
      0.270117738298645,
      0.285325878312247,
      0.0952884081117108,
      0.318129944981883,
      0.274640620844456,
      0.205310049672514,
      0.203654335203007,
      0.291630479218095,
      0.22125787973653,
      0.26395148037968,
      0.222664450513564,
      0.158411889170931,
      0.199825026167553,
      0.151523818894978,
      0.201604511674172,
      0.180657161428001,
      0.436577114384095,
      0.24348019759792,
      0.122892916740496,
      0.344582201580683,
      0.307000426549978,
      0.187354892086206,
      0.206475177237833,
      0.16297130145849,
      0.151371890438014,
      0.407964640719953,
      0.166645314105477,
      0.462276106165537,
      0.330996961687537,
      0.148578856102171,
      0.305618971562462,
      0.186157661628223,
      0.332511989154276,
      0.36677319023375,
      0.341474898315623,
      0.422817158319786,
      0.322549078613271,
      0.328669362371601,
      0.394328168493377,
      0.378342519590087,
      0.348531205077083,
      0.315346312883257,
      0.224407305247917,
      0.315022428105938,
      0.245831887296239,
      0.25971484956674,
      0.460039034514192,
      0.245521910379436,
      0.211576215469492,
      0.178268913087852,
      0,
      0.240426978672802,
      0.270947008660727,
      0.244424338863952,
      0.216715417572633,
      0.29436547311528,
      0.369905092450101,
      0.404301015953055,
      0.0769242671694287,
      0.369922417881572,
      0.405408005449919,
      0.442040985808203,
      0.33978824650678,
      0.382058516887599,
      0.220224129400477,
      0.495605946126329,
      0.361814329411063,
      0.405835528442069,
      0.237473117889248,
      0.312596696566823,
      0.283220271032522,
      0.318623495580957,
      0.116129136700436,
      0.297408358030529,
      0,
      0,
      0.448997572323579,
      0.0784046640024183,
      0.430667353065079,
      0.230463771589704,
      0.386327084607149,
      0.1560742138298,
      0.423271363848588,
      0.0239395105170087,
      0.421165954278452,
      0.0242704122344513,
      0.354318688280739,
      0.284355177833645,
      0.400388141341672,
      0.288013823668221,
      0.0705071821203447,
      0.163759120843914,
      0.362005598305948,
      0.313460784029042,
      0.402194663222113,
      0.441140896123667,
      0.271060661057128,
      0.459908699919528,
      0.44313161186168,
      0.435977112030656,
      0.0414280025145914,
      0.39057758951894,
      0.169250457666625,
      0.297296860523302,
      0.255744986230707,
      0.182939624439805,
      0.402898301351338,
      0.233364532418568,
      0.262974635334997,
      0.356135822601841,
      0.359636439840854,
      0.342875858025189,
      0.275807252917197,
      0.241285695371567,
      0.484355291488508,
      0.276193848063351,
      0.456883109827495,
      0.129215642507863,
      0.247236086872561,
      0.199910026739301,
      0.268254458426706,
      0.301654747126569,
      0.299312032252053,
      0.330445439651815,
      0.267033649469477,
      0.418184839315126,
      0.289829975586758,
      0.325076088365649,
      0.132430502813696,
      0.125583179650878,
      0.232994187977327,
      0.282159429918061,
      0.348994971704884,
      0.480113993595003,
      0.200204586669265,
      0.169444806955281,
      0.209381776323028,
      0.180079481782564,
      0.27676898210972,
      0.26372884425203,
      0.202137893738247,
      0.232740116594662,
      0.275435951462943,
      0.0240749289680289,
      0.423499543296701,
      0.334994569848664,
      0.420690649991133,
      0.445535637694521,
      0.469769041073287,
      0,
      0.435156409637379,
      0.326999861691157,
      0.476274986281826,
      0.171022918454147,
      0.296241911143496,
      0.324965537544933,
      0.251596087076305,
      0.131633648442499,
      0.201992345412827,
      0.309993801288311,
      0.218599298602403,
      0.273376731364635,
      0.117274618342439,
      0.480321718669827,
      0.220914421965913,
      0.458769685035622,
      0.223939560626864,
      0.40935741577079,
      0.271604297247196,
      0.403256038902323,
      0.198788342717295,
      0.340270614889441,
      0.144281058864684,
      0.208347929709714,
      0.351258064546581,
      0.277494180798549,
      0.21930250088072,
      0.323847954990218,
      0.224231834655209,
      0.105247759561709,
      0.287647960939135,
      0.337850589974917,
      0.467627660780343,
      0.286705644884986,
      0.410516264853757,
      0.391013415561136,
      0.324881293197925,
      0.185375636576681,
      0.199732556126221,
      0.175197692796667,
      0.286871658258085,
      0.296553000153953,
      0.118768586562099,
      0.419958286311393,
      0.387940044609751,
      0.357507587576575,
      0.404672888914977,
      0.43253856153652,
      0.113127544666373,
      0.43475650790667,
      0.180143407820961,
      0.463983618647535,
      0.306724894797962,
      0.348953330883045,
      0.312283785443805,
      0.221497993810799,
      0.327557104500839,
      0.315174700271675,
      0.381389966331169,
      0.373072191480386,
      0.310398425822061,
      0.269305540775821,
      0.476034078121008,
      0.371958806276829,
      0.442399705248054,
      0.34792058977129,
      0.252648728299979,
      0.291067045471352,
      0.243316450419868,
      0.247300468171232,
      0.453555590961949,
      0.18793557894952,
      0.239899020692534,
      0.251381413435687,
      0,
      0.192409877673269,
      0.32008743519434,
      0.239369526849914,
      0.264443900600175,
      0.238727654890017,
      0.217768112807556,
      0.45511073121556,
      0.0272838685472639,
      0.450500235998769,
      0.438731294528718,
      0.456285701351743,
      0.371022106433252,
      0.387631792921315,
      0.126270078416678,
      0.370518783511246,
      0.182482631388445,
      0.17704610958327,
      0.364965671606813,
      0.338018407352484,
      0.273468579213271,
      0.297919626706124,
      0.336447193997736,
      0.129443569403253,
      0.273516591251743,
      0,
      0.464728935637781,
      0.140500048488545,
      0.460002492283629,
      0.106901583871126,
      0.375664963616332,
      0.0837487277105425,
      0.277497792435165,
      0.328155587581341,
      0.390769180249383,
      0.206270548475586,
      0.188653406348631,
      0.42121485358123,
      0.158608775370491,
      0.352023220581011,
      0.214739193916379,
      0.292936247491479,
      0.267014101866346,
      0.378859847392243,
      0.360084601501346,
      0.501370415555518,
      0.188528553189426,
      0.41492884507761,
      0.282906242772379,
      0.299290847970673,
      0.315588512693864,
      0.0811253573000981,
      0.0328294641818998,
      0.0510811219119881,
      0.137508908568526,
      0.131872099737725,
      0.450674678433953,
      0.226637130177481,
      0.438506989069614,
      0.462269355339542,
      0.458753569592101,
      0.253383679539289,
      0.419581957826934,
      0.136846175029239,
      0.482203494341168,
      0.270465924044233,
      0.307978838799008,
      0.302019805213375,
      0.283591400050877,
      0.192835702620267,
      0.295413131147919,
      0.294911167429575,
      0.423855652254911,
      0.445626961221763,
      0.349814124062855,
      0.452804603298961,
      0.272474231701659,
      0.456718627199197,
      0.132667009042538,
      0.0794075467235393,
      0.21246245693239,
      0.252292132912881,
      0.315740633153036,
      0.37437803018721,
      0.222969869023497,
      0.264021571487041,
      0.356298879184093,
      0.205557745834617,
      0.245623887055973,
      0.313604352163028,
      0.24816045744928,
      0.223238595781123,
      0.322802623091601,
      0.0870034776009919,
      0.489772403852329,
      0.375044553236137,
      0.450165691165005,
      0.388991840942266,
      0.412352049794741,
      0.0409403801414836,
      0.316548358866051,
      0.406528696366327,
      0.284283287399863,
      0.197632605996705,
      0.219675371115861,
      0.380327875846168,
      0.25010898537868,
      0.345450764149153,
      0.398744056911404,
      0.438924746129699,
      0.194961120139765,
      0.377029482019617,
      0.147903249750181,
      0.442201247519705,
      0.246537340435826,
      0.401267471053828,
      0.274421985319164,
      0.264374716953618,
      0.235652693693902,
      0.286075837891551,
      0.216847199260078,
      0.300548759420309,
      0.276414769417286,
      0.252671531687257,
      0.463891481854266,
      0.234979233833387,
      0.43227164244108,
      0.233285474490039,
      0.378881089872515,
      0.114110093853557,
      0.417988059290412,
      0.31091869346372,
      0.485344523862359,
      0.287515344648776,
      0.324613484217835,
      0.379265317060626,
      0.345664433351485,
      0.357644331805868,
      0.366720091240124,
      0.221308172823802,
      0.338593110618945,
      0.330254198328931,
      0.321830709401366,
      0.480282122397989,
      0.395931680540482,
      0.236106878467131,
      0.371009837804598,
      0.245723105699484,
      0.242488421831721,
      0.41882829469318,
      0.21294170336949,
      0.352747770976937,
      0.293507803436233,
      0.105682465063387,
      0.402752814599695,
      0.337992377184707,
      0.304787396983222,
      0.333664659451031,
      0.361245034922289,
      0.406045351722175,
      0.348164248678512,
      0.22636055479778,
      0.465445510634905,
      0.343679812425055,
      0.289787382091987,
      0.375514246625756,
      0.264964671783559,
      0.290268046482014,
      0.268781195833629,
      0.180971333467773,
      0.234842608130632,
      0.216378316573964,
      0.263635656314118,
      0.426657102256405,
      0,
      0.202408028314937,
      0.343462895175566,
      0.306340871533348,
      0.0757972551956411,
      0.37962207988857,
      0.202596832650759,
      0.473069846752777,
      0.22596808083492,
      0.412012955207392,
      0.283375654663369,
      0.283237116326112,
      0.172642158594769,
      0.210713141954474,
      0.239211907541522,
      0.128556256021917,
      0.156949148215806,
      0.11397341347354,
      0.410622932474913,
      0.266835570573574,
      0.432011156617229,
      0.449389836289355,
      0.454290718058996,
      0.213200476686123,
      0.434056415405194,
      0.352434967885219,
      0.406566935140154,
      0.111181428416046,
      0.281218073216417,
      0.280387942490735,
      0.158190104346971,
      0.195707292451799,
      0.239927680795449,
      0.212111273958528,
      0.0164555814377362,
      0.219241025611453,
      0.140473676965542,
      0.475853268978331,
      0.0256020431400582,
      0.462442421006292,
      0.333922769013542,
      0.417761489507954,
      0.159016006765494,
      0.405389518150812,
      0.252958849743164,
      0.382917831232016,
      0.211678205535858,
      0.19829577678821,
      0.347409820103862,
      0.173130984542866,
      0.194907399873448,
      0.215027142892979,
      0.238038535966369,
      0.178220259140482,
      0.17628701345259,
      0.131118850343283,
      0.51557801179445,
      0.143307221289836,
      0.209692419044538,
      0.211147668880233,
      0.170465530068803,
      0.204620740839296,
      0.17965027834156,
      0.18446983698298,
      0.201871399775962,
      0.17579856941023,
      0,
      0.20529190312132,
      0.110080950937966,
      0.159000539596267,
      0.227578899971515,
      0,
      0.18261746944984,
      0.191298486157261,
      0.161739351135926,
      0.268953316991148,
      0.261822756015096,
      0.192079451528445,
      0.293037998686456,
      0.281245344224138,
      0.187755898049404,
      0.0971877772749753,
      0.267217958603929,
      0.240026249193551,
      0.289219968732,
      0.067197649473423,
      0.163235275690325,
      0.309613558773563,
      0.204635916670761,
      0.224050131562121,
      0.122223460285466,
      0.230301246352403,
      0.213564654973535,
      0.166774131167499,
      0.18385337872639,
      0.258247797308775,
      0.286121934774606,
      0.282875812532945,
      0.226959676590799,
      0.242774295724551,
      0.057205790250882,
      0.219567916449432,
      0.265972781952816,
      0.264707471694584,
      0.0524577242103065,
      0.328359433984684,
      0.280270699191246,
      0.190045790065775,
      0.132426488167337,
      0.237404349677742,
      0.235194832922717,
      0.258999280808749,
      0.198457399177613,
      0.147134864442149,
      0.218874405919455,
      0.174772787099463,
      0.242823940578622,
      0.191412283529539,
      0.414898001799274,
      0.268387986147702,
      0.154245080219217,
      0.327176930658909,
      0.2169985168138,
      0.20176487438484,
      0.237479419212948,
      0.176054637618279,
      0.14106639377903,
      0.345369715867039,
      0.154588341504866,
      0.45915609296798,
      0.261009433355729,
      0.14205206545997,
      0.309261749950912,
      0.156513660568949,
      0.389755088735156,
      0.342907735709503,
      0.352017622699414,
      0.45400619458814,
      0.288885664727214,
      0.287898455926837,
      0.363280757145933,
      0.328210888449607,
      0.303825272495465,
      0.295606468613045,
      0.22663502113469,
      0.278041863946829,
      0.243167674037365,
      0.247948879056882,
      0.472228366187225,
      0.146678064647726,
      0.234482910190259,
      0.165997641739034,
      0,
      0.248537059421517,
      0.300633632297101,
      0.270380570933137,
      0.187508428601169,
      0.288451851092523,
      0.321438973314191,
      0.384281043153775,
      0.0442935210846749,
      0.371755997045497,
      0.333248985785654,
      0.350418299229983,
      0.318246119679409,
      0.357700886304885,
      0.217143024505663,
      0.479935107342719,
      0.3651024893549,
      0.363381686531196,
      0.208671090986062,
      0.252539061204942,
      0.269918947759968,
      0.272016324024857,
      0.0919086088331289,
      0.304016435689398,
      0,
      0,
      0.449647766877718,
      0.0827370644435813,
      0.348437330950027,
      0.205646041278004,
      0.368422852875369,
      0.139159890958113,
      0.373883404924477,
      0.0623197720298687,
      0.45038653392108,
      0,
      0.270938268971371,
      0.268178835135412,
      0.384509932873686,
      0.280111364183445,
      0,
      0.201567766567025,
      0.280185394383083,
      0.236419402031411,
      0.379849726339402,
      0.485206919523204,
      0.255710133428107,
      0.392608278370349,
      0.350844326357523,
      0.420736140313103,
      0.0167708666822108,
      0.34882919456654,
      0.191179825637707,
      0.305585861507183,
      0.276314445849199,
      0.208733722642641,
      0.361434599594576,
      0.181200932318332,
      0.232967324726209,
      0.357487989698392,
      0.306408239639813,
      0.379905153413773,
      0.254872932445126,
      0.205727154217673,
      0.472824351699108,
      0.213434333653892,
      0.395263798873674,
      0.113391087316309,
      0.186203739357248,
      0.178265834498531,
      0.237231731532186,
      0.312804409648909,
      0.302446941822117,
      0.378679819356181,
      0.197105350176821,
      0.382902764971313,
      0.342633989817288,
      0.363077587899234,
      0.154369078387691,
      0.0598229852999291,
      0.203025919674374,
      0.267644915536505,
      0.341476630371334,
      0.467287928636523,
      0.257827884734117,
      0.178365190559509,
      0.200667649484455,
      0.118687386139792,
      0.211429263060458,
      0.249183367342766,
      0.192311579052644,
      0.188274204882051,
      0.245298736081146,
      0,
      0.448532336930425,
      0.327453923700747,
      0.331352870810698,
      0.348463919310386,
      0.408471478828984,
      0.0104899022851726,
      0.419124655707494,
      0.335353829469158,
      0.453013204365226,
      0.127347839553779,
      0.256278001630125,
      0.317502541925216,
      0.274260637969012,
      0.112302521029123,
      0.208778332719666,
      0.330721897604013,
      0.222419795315332,
      0.241199309977354,
      0.0987669459663438,
      0.467723655998532,
      0.217056931801624,
      0.381070891277763,
      0.196522658810084,
      0.391443177626464,
      0.269347806663141,
      0.351605527513569,
      0.223528201548478,
      0.351960737465442,
      0.0828766632107124,
      0.208993859598268,
      0.299618770172788,
      0.286037090363891,
      0.206364438895463,
      0.294641213646735,
      0.253379765433278,
      0.10954100953613,
      0.260596191572447,
      0.293762625714624,
      0.482244222613584,
      0.289123800462642,
      0.33821442889437,
      0.327773166132466,
      0.276375928412219,
      0.204849045838667,
      0.22749767997403,
      0.198178989250619,
      0.245545065505766,
      0.260950144932783,
      0.13070898510671,
      0.401427413164725,
      0.297306107593298,
      0.314422554874184,
      0.317173014869399,
      0.335825262247092,
      0.144592743009062,
      0.363542485807745,
      0.17484305603465,
      0.468424869658488,
      0.272867170426944,
      0.279770652938728,
      0.329616571324584,
      0.15255355005666,
      0.381366914054291,
      0.317109684426807,
      0.390484935857015,
      0.415453669551344,
      0.309192603964216,
      0.267447395312293,
      0.460365898239659,
      0.355483695760006,
      0.345748660677621,
      0.31996686604176,
      0.270417906846674,
      0.27755633535811,
      0.237082202333653,
      0.270474863051202,
      0.438039322687752,
      0.199159434766523,
      0.297322572726774,
      0.261229811402991,
      0,
      0.215137607554749,
      0.339965205146181,
      0.249243831748098,
      0.281747993558969,
      0.219658186518462,
      0.237591717429299,
      0.484449891648861,
      0,
      0.387384619185671,
      0.345622351094494,
      0.415967111732467,
      0.318197257795732,
      0.344680277367197,
      0.139027786899818,
      0.343007350280352,
      0.169905013867276,
      0.107606193670741,
      0.338587870454308,
      0.337276418432798,
      0.245145012652337,
      0.263682550068083,
      0.299014530350568,
      0.0780897689518043,
      0.25652100243103,
      0,
      0.469048071612947,
      0.0984292140935049,
      0.399198451589992,
      0.122833562832598,
      0.344157604607274,
      0.0674003299173584,
      0.216099071546254,
      0.359962633823413,
      0.309227813452903,
      0.092768442627194,
      0.207025893467904,
      0.401854156142911,
      0.118456998734331,
      0.296983555409197,
      0.18987422516237,
      0.258003201143446,
      0.18627800378366,
      0.363724416411851,
      0.338309721202542,
      0.479053904292837,
      0.198828626140171,
      0.365007319980573,
      0.244084343872837,
      0.245515992057841,
      0.262588463704104,
      0.0895834735761851,
      0.0152931671170749,
      0.0562400404384541,
      0.172469820001354,
      0.0611889206885883,
      0.463802878359146,
      0.178108000487459,
      0.344897408158816,
      0.361674086701544,
      0.383918911300668,
      0.291304282877575,
      0.385438381570535,
      0.122737229733874,
      0.426552015349834,
      0.225603341262146,
      0.260800154415468,
      0.291493865722645,
      0.261520228973183,
      0.165544289497404,
      0.241742625721711,
      0.264157107795734,
      0.425497305093625,
      0.479579558244906,
      0.31640541706134,
      0.466549101709239,
      0.342218065803354,
      0.40624230111173,
      0.155560669802859,
      0.0254110272926964,
      0.173080153979219,
      0.220147275176107,
      0.31397006568658,
      0.369196601182098,
      0.237083885441693,
      0.18067815144332,
      0.315345446456454,
      0.156686322352742,
      0.241090969415467,
      0.271675131802188,
      0.22743022059823,
      0.166346954568805,
      0.290301453714309,
      0.0843217142673308,
      0.49962922892333,
      0.345190450596499,
      0.397834176897539,
      0.318375582120693,
      0.370444687454481,
      0.0669171353722677,
      0.294934676785562,
      0.39096706218987,
      0.269397668710855,
      0.148968612098961,
      0.230295572496562,
      0.375899400483652,
      0.323555358819217,
      0.30940553207453,
      0.31973441953886,
      0.362519014877231,
      0.19373534327173,
      0.360386842502583,
      0.129806665397187,
      0.474295765161916,
      0.21081501435308,
      0.351093430288233,
      0.256231038743536,
      0.211216995648887,
      0.230472268977321,
      0.285173927768792,
      0.205396615323189,
      0.296735268306518,
      0.206608360299617,
      0.220703205721271,
      0.433999969160435,
      0.257365350939263,
      0.346788117301761,
      0.241032834529207,
      0.346687893441731,
      0.107712233687255,
      0.38788871518874,
      0.305289293802354,
      0.456868846466644,
      0.269850902523608,
      0.375431218972572,
      0.37982210763388,
      0.372972959412211,
      0.413107242057951,
      0.3237520304002,
      0.202605819900898,
      0.262342951621664,
      0.257144840235474,
      0.309696168631742,
      0.501504449044844,
      0.305824654924778,
      0.228210498306786,
      0.3192858792433,
      0.282131185707975,
      0.238572372723278,
      0.367450933069144,
      0.211240472203268,
      0.345892683208722,
      0.248384907923452,
      0.0949831398431751,
      0.39031595109433,
      0.268118965902194,
      0.34019443845332,
      0.331916538239227,
      0.373557436518923,
      0.449186528946517,
      0.354201155304777,
      0.293785834122121,
      0.478178588868644,
      0.314242465086561,
      0.2948257021702,
      0.369240005425391,
      0.266047061754737,
      0.287773380123902,
      0.234207740048461,
      0.247574536842412,
      0.234307655905514,
      0.194316439241911,
      0.31480512841408,
      0.3622056890656,
      0,
      0.240085706269842,
      0.351146820749437,
      0.298965447483358,
      0.0512037814826268,
      0.343164746356661,
      0.182640191327114,
      0.483230031135376,
      0.180613552673996,
      0.369476415773197,
      0.225035636049821,
      0.230536355872874,
      0.165923152956,
      0.150272267564992,
      0.187700985509291,
      0.116389859359442,
      0.133169498921632,
      0,
      0.44059668702953,
      0.212391994674473,
      0.352589091516048,
      0.34146770536809,
      0.381153693577689,
      0.121016639461846,
      0.407764813816167,
      0.300119434661481,
      0.441607851985572,
      0.114456564586291,
      0.226799409099851,
      0.27155828235993,
      0.0354650142437893,
      0.155425489061579,
      0.233333668679803,
      0.237924352622829,
      0.0271662755303088,
      0.207653217173222,
      0.112478860045425,
      0.463321583822573,
      0.0297112793453404,
      0.397352108072753,
      0.336969004112429,
      0.390274903413989,
      0.125314949795893,
      0.368587043882089,
      0.177335826003603,
      0.355848941945154,
      0.184029859042812,
      0.142802020499631,
      0.323804150193568,
      0.12666944301604,
      0.178384759183047,
      0.189569823445695,
      0.135541396413467,
      0.101321960740228,
      0.12188175911075,
      0.0916394333974591,
      0.509925984609105,
      0.109361494251503,
      0.128627595974947,
      0.150799424894275,
      0.0712646857678405,
      0.177848422973062,
      0.106246402685456,
      0.182506579800184,
      0.112101608855229,
      0.130449249353813,
      0,
      0.147667551922777,
      0.0864493484131724,
      0.0930852396337583,
      0.163279575133006,
      0,
      0.166064792707725,
      0.213938083698787,
      0.104323177062724,
      0.306216553084061,
      0.233855431699073,
      0.179345190004477,
      0.22158141157414,
      0.244854559776348,
      0.210774272344427,
      0.105395846389983,
      0.244872364239595,
      0.191652149762559,
      0.282029816042177,
      0.063450423701545,
      0.101812769916725,
      0.349740573524325,
      0.201004808396849,
      0.227724535812704,
      0.0963161555030844,
      0.162533499825762,
      0.158637374160801,
      0.172053884846623,
      0.181490574031105,
      0.268589833604863,
      0.26705806739961,
      0.30477952169072,
      0.190357630690258,
      0.224208821116662,
      0.0401404065564761,
      0.165774100656354,
      0.269711754836798,
      0.250764275007657,
      0.0193492276707349,
      0.318017436443122,
      0.265527101804935,
      0.138907796386417,
      0.0522360924620444,
      0.204866015217082,
      0.197894629456614,
      0.242998195426952,
      0.15762339321177,
      0.17746134952001,
      0.205290572443517,
      0.170456597335931,
      0.255505521735145,
      0.204900590773111,
      0.4073591300596,
      0.223951428139124,
      0.129729925250864,
      0.351786564830941,
      0.221795987351766,
      0.182214993102706,
      0.213751923431043,
      0.190518223810794,
      0.103149071648602,
      0.318289350493843,
      0.132952443979295,
      0.488778927034576,
      0.232058013258466,
      0.153616407761048,
      0.302219051782797,
      0.114108899470164,
      0.343107359892995,
      0.336673044511986,
      0.37425611087146,
      0.365706016023513,
      0.278974694928919,
      0.320582148681875,
      0.366641443583716,
      0.278184739737097,
      0.311834599004793,
      0.267389732457024,
      0.21893418119735,
      0.248016652006655,
      0.256117396098219,
      0.270956802220123,
      0.49864034991078,
      0.191487372063214,
      0.207799711177648,
      0.193865429114485,
      0,
      0.253971129095941,
      0.324168200622441,
      0.128026252035736,
      0.24891152899964,
      0.302340379363498,
      0.372135174282707,
      0.456866144331853,
      0.0356374974505533,
      0.334420185741578,
      0.34255945732804,
      0.36469018412922,
      0.305381263091062,
      0.322056111228374,
      0.257099792988874,
      0.480862707832191,
      0.410547843963335,
      0.367172573834078,
      0.214921731410995,
      0.237941106340105,
      0.270593248121957,
      0.299620948162715,
      0.121355976524956,
      0.373081914858317,
      0,
      0,
      0.492162419941435,
      0.0680890835254068,
      0.357247268084769,
      0.290338005684699,
      0.319602998617912,
      0.111586981735122,
      0.338609881972403,
      0.0990197006594587,
      0.466353461994951,
      0,
      0.279299671122985,
      0.293763608939317,
      0.424291771387264,
      0.341936077689648,
      0,
      0.249256404804918,
      0.204913566998972,
      0.19337132124316,
      0.39599360098939,
      0.495537627482859,
      0.251128401132747,
      0.392003654133404,
      0.37794267782287,
      0.403108422993425,
      0.0224905601105838,
      0.321945416713659,
      0.181802897006774,
      0.305331716260142,
      0.212174789529015,
      0.170801276093921,
      0.402424975932266,
      0.208495416187324,
      0.237629778320273,
      0.396906777774671,
      0.29803536416987,
      0.411343015555048,
      0.221798163643681,
      0.223487222896288,
      0.485973469657011,
      0.320031575540999,
      0.398391530613262,
      0.151961088388098,
      0.194398668526731,
      0.167418218498027,
      0.242703917861301,
      0.261351439486517,
      0.286107066707308,
      0.407632164413881,
      0.262905695874636,
      0.420174061609488,
      0.352527584673038,
      0.393272723228758,
      0.181113196843081,
      0.0964453908744174,
      0.202124558020918,
      0.26750829997072,
      0.342797113329138,
      0.483547649475645,
      0.224015547484122,
      0.152684015828856,
      0.185345767309471,
      0.0936248816922421,
      0.168275333041517,
      0.268257632712204,
      0.177302761304798,
      0.150999808111769,
      0.198922308876309,
      0,
      0.484069216809637,
      0.329822187884178,
      0.341997456435104,
      0.382323065912704,
      0.396268662482766,
      0.0533338001996318,
      0.348290411632072,
      0.21440853440351,
      0.449122295373666,
      0.0187175293496332,
      0.237521615841047,
      0.301509650636763,
      0.255488285096853,
      0.107212850016629,
      0.192019324275569,
      0.277905994569219,
      0.183264345045863,
      0.208815563912682,
      0.079972920199411,
      0.501908346048734,
      0.17574300521438,
      0.378026800275772,
      0.173047139573377,
      0.345250397688473,
      0.245788942021877,
      0.342479928898163,
      0.210332604844484,
      0.339686401227626,
      0.110187601174559,
      0.153955912495331,
      0.389186406517316,
      0.24239615596534,
      0.185394080004148,
      0.315178504594972,
      0.25822810185135,
      0.0730887480729847,
      0.227134616541859,
      0.285659845323918,
      0.496132956763642,
      0.281704795315278,
      0.34444595658978,
      0.339810874478604,
      0.271454697163633,
      0.214139038566445,
      0.237508106857552,
      0.198387181978758,
      0.209308805144847,
      0.189454242169099,
      0.0842257108662056,
      0.457034918298642,
      0.2841094412461,
      0.310034993313503,
      0.349997664519518,
      0.362071283516621,
      0.133167423378188,
      0.364135782429165,
      0.135610780953436,
      0.461184870290961,
      0.245816594056956,
      0.282479867592596,
      0.308186076205239,
      0.184584313165248,
      0.332626639001088,
      0.343022343524907,
      0.416582946625557,
      0.309626362264657,
      0.324210759104599,
      0.302145753120836,
      0.494865109866757,
      0.278025540883213,
      0.369525320983309,
      0.290568938674451,
      0.238150135748328,
      0.227105109582733,
      0.254967453435937,
      0.231998845919984,
      0.427929378867266,
      0.207452579974297,
      0.172015775382858,
      0.292634159857263,
      0,
      0.243195129602002,
      0.371737646494113,
      0.187844558193705,
      0.275117548655747,
      0.239261522313915,
      0.213937972388875,
      0.483854054672909,
      0,
      0.362750837285917,
      0.379544632839653,
      0.379236997437184,
      0.267590138182609,
      0.324149900643351,
      0.0518546259808362,
      0.338844119653255,
      0.165396328072066,
      0.0581976703764792,
      0.358244441951913,
      0.355753972838822,
      0.260023771423012,
      0.270683179592987,
      0.313180781991363,
      0.0829987646730327,
      0.213085804868299,
      0,
      0.484113749769147,
      0.0809280427118334,
      0.393012571639651,
      0.12446176658516,
      0.297620969685951,
      0.142275388774354,
      0.187763393497376,
      0.345331782524081,
      0.339897540303948,
      0.103694173846182,
      0.258793071669472,
      0.447476426611397,
      0.121665231187976,
      0.310789336985937,
      0.212870857282772,
      0.240807545502103,
      0.194638787085821,
      0.314378390683988,
      0.382127242861506,
      0.481746945826764,
      0.202936235112447,
      0.329840044225908,
      0.300231031162335,
      0.231217272816167,
      0.293800675076506,
      0.0283233803129158,
      0.129457449255032,
      0.0196317891739362,
      0.149958471597161,
      0.0449137134645742,
      0.490279839678478,
      0.179550359838322,
      0.348384857608247,
      0.420090835882917,
      0.379269050676202,
      0.300226662317328,
      0.353215818516887,
      0.0929622554634063,
      0.411229565290678,
      0.203659245097132,
      0.286083435942907,
      0.304288855033124,
      0.225736109083274,
      0.125271478064122,
      0.275523721299701,
      0.23874545675766,
      0.401585740652383,
      0.519565525186756,
      0.309328852554496,
      0.520219801076237,
      0.369116492965191,
      0.435340973812498,
      0.156157035448178,
      0,
      0.169665903844239,
      0.203409766072051,
      0.327338528051248,
      0.353667838708118,
      0.279696569276756,
      0.180138607167394,
      0.389980560022558,
      0.141083507769963,
      0.219465841461223,
      0.283161521198256,
      0.185877330118916,
      0.167771323005538,
      0.243300043365171,
      0.0442282864090666,
      0.483673611053995,
      0.386154989405729,
      0.375340101369459,
      0.35667777267422,
      0.361044068094837,
      0.0774664592425578,
      0.229465225873912,
      0.271367006978023,
      0.255819201018855,
      0.00353445486242789,
      0.1629595068293,
      0.408421012730553,
      0.322445449026788,
      0.291454672789242,
      0.357722104379192,
      0.386054616129846,
      0.16544139875108,
      0.321055115127365,
      0.0858778001233092,
      0.47892463166994,
      0.194503369587883,
      0.355814248200739,
      0.220051571253182,
      0.225276425309161,
      0.209945939208996,
      0.342431089885191,
      0.197011970613117,
      0.256902505627412,
      0.243566778226331,
      0.1703164810346,
      0.486879878853038,
      0.255798221704426,
      0.377135742870257,
      0.235755780789145,
      0.321018389733538,
      0.0778576458208882,
      0.350964415844077,
      0.356550584037201,
      0.451816658893965,
      0.279550954816665,
      0.349663535764098,
      0.42716934654467,
      0.389260743032896,
      0.34961132295886,
      0.333627029878281,
      0.210075679620984,
      0.29447816628993,
      0.254594545723194,
      0.310630311876601,
      0.500450294234603,
      0.285213335650696,
      0.261195006651594,
      0.247456790410352,
      0.316335368294432,
      0.24482593309994,
      0.328717658596393,
      0.197359617252271,
      0.328089864471172,
      0.254718441008175,
      0.0800784747434691,
      0.421286911193919,
      0.250650875416524,
      0.336160963719849,
      0.358957117946182,
      0.393613526963393,
      0.303508564228136,
      0.389823644906245,
      0.291822714883203,
      0.500229688321602,
      0.287537517040104,
      0.307729251497039,
      0.323874252545937,
      0.226468136093548,
      0.289810197508064,
      0.227956008285251,
      0.264986955573028,
      0.218802325009011,
      0.226785106302935,
      0.186598421250548,
      0.449211965015267,
      0,
      0.24346226339846,
      0.383778492908639,
      0.249669243415506,
      0.0438840104242973,
      0.306324831752501,
      0.219434448101169,
      0.465889557938612,
      0.19909303172425,
      0.356025592728564,
      0.238793498719248,
      0.231148534558304,
      0.158228536368005,
      0.0865582293923369,
      0.189497805402695,
      0.0911406951354864,
      0.0935698308104368,
      0.0237931876428982,
      0.454755518442118,
      0.196447876750615,
      0.350344271898036,
      0.372658573563108,
      0.381941140746161,
      0.109286517637377,
      0.368709639667791,
      0.314335417901441,
      0.44637966795466,
      0.173883831266558,
      0.233685674846386,
      0.255956988489576,
      0.0390530146559918,
      0.181206518529969,
      0.214642174079655,
      0.189423042868429,
      0.00607938701697805,
      0.130003342880856,
      0.101626987418867,
      0.510222662247004,
      0.0589061302586571,
      0.404688278927092,
      0.328300418436665,
      0.360201445282742,
      0.086118318916658,
      0.358064546374514,
      0.139020407337953,
      0.347892043637896,
      0.170399729564368,
      0.119907492003868,
      0.388114173352497,
      0.0931520267995467,
      0.169423441924525,
      0.15160365773602,
      0.175064354361245,
      0.0978421682728704,
      0.114206966723847,
      0.0539900743406479,
      0.486982054832218,
      0.0901832657371156,
      0.108225217398544,
      0.166105732005843,
      0.0672759663051655,
      0.154192076628938,
      0.126067094057739,
      0.161077024537164,
      0.0821487278337399,
      0.108259885908857,
      0,
      0.0747787155065383,
      0.0559391749027525,
      0.0487318749263791,
      0.0985424603868165,
      0,
      0.111008561314273,
      0.208990645481444,
      0.122258189305722,
      0.24891367586402,
      0.196133882778216,
      0.1172672797193,
      0.186508766874901,
      0.184531673951526,
      0.194611158684627,
      0.148106743155359,
      0.194002905533688,
      0.193674305660347,
      0.250346801304783,
      0.0477587236475276,
      0.135066357835693,
      0.255294291920175,
      0.158989482458486,
      0.148873997295534,
      0.065379107167211,
      0.127116200988802,
      0.141635315325746,
      0.156618039689941,
      0.110161934589908,
      0.248433405780562,
      0.198967463978024,
      0.284767924826047,
      0.157207862638546,
      0.17505633629544,
      0.048206498853572,
      0.163810186594214,
      0.286714099819203,
      0.251867349433982,
      0.0175093332746689,
      0.271619607207227,
      0.275504902829018,
      0.152918000413304,
      0,
      0.173980667234772,
      0.1464074957894,
      0.201444385023089,
      0.0999372768426876,
      0.147085848171845,
      0.174802791601281,
      0.138633676268807,
      0.211063635852156,
      0.194899884456098,
      0.421695719579538,
      0.219097003405112,
      0.133775793773607,
      0.321295958359094,
      0.219943159809233,
      0.162038616326536,
      0.180455775508319,
      0.185977266348089,
      0.0723226153650854,
      0.245870336751414,
      0.149184802894516,
      0.4780037291381,
      0.216803219036705,
      0.133249007709979,
      0.301385160899796,
      0.102900605607304,
      0.261415391608896,
      0.296606375857671,
      0.433413598518557,
      0.368163296477653,
      0.285416452471275,
      0.317503048111339,
      0.361996643970047,
      0.251354701772881,
      0.266479625557499,
      0.27560573877057,
      0.27526455414485,
      0.29501276371977,
      0.262168389458599,
      0.284985705543447,
      0.48747230610304,
      0.191468906001567,
      0.198933768452916,
      0.174910016262852,
      0,
      0.238716046417062,
      0.2936395507001,
      0.143687985045218,
      0.232417436002054,
      0.306625175206418,
      0.357440191071937,
      0.44961117545569,
      0.0218126736840316,
      0.339539427593608,
      0.326322916633679,
      0.369531884345159,
      0.307595394452814,
      0.303991330308071,
      0.253723525705741,
      0.477247971797108,
      0.379115701550525,
      0.307299567987202,
      0.189563991793856,
      0.205119745726027,
      0.284588926359103,
      0.275698628248485,
      0.121503903523515,
      0.36271807837909,
      0,
      0,
      0.466608993468929,
      0.0325152132771893,
      0.376053278180483,
      0.3113483927666,
      0.311993285857954,
      0.100463916195227,
      0.33364011092942,
      0.0991550219424635,
      0.449517997522419,
      0,
      0.225728763950445,
      0.334416656700986,
      0.401464799216203,
      0.353121964243074,
      0.0145503108581472,
      0.232576920387969,
      0.175805800777928,
      0.183339505376094,
      0.384646475911653,
      0.462127915710892,
      0.253345837333889,
      0.364775334528206,
      0.340950871182254,
      0.387765294232188,
      0.0391717245164085,
      0.29184366482153,
      0.175584954674866,
      0.310278913099493,
      0.154911248538138,
      0.184642025806227,
      0.401812342125646,
      0.203968438853094,
      0.195809879271453,
      0.410100210619304,
      0.292991203302517,
      0.388644037143464,
      0.220578425770496,
      0.270122215746068,
      0.492630013760628,
      0.262448354796302,
      0.362437527676492,
      0.13471235082046,
      0.177461872463206,
      0.170016111995308,
      0.222504156059604,
      0.21348527105677,
      0.26194218145638,
      0.376519523125572,
      0.26965160240528,
      0.422718799088152,
      0.265297418070589,
      0.381681508649751,
      0.206072708285711,
      0.0828804252325243,
      0.174944166091132,
      0.241199322988843,
      0.252330622629551,
      0.483524006131554,
      0.178263270967491,
      0.145020305982332,
      0.185598130168908,
      0.0701215063730804,
      0.118846832772939,
      0.224552033223573,
      0.149099875803661,
      0.12830676617726,
      0.131448093491851,
      0.00322177055517147,
      0.443115267069996,
      0.289377349835822,
      0.35316567496386,
      0.367174068234117,
      0.372996371085597,
      0.00698419837900006,
      0.337570093037142,
      0.214540758939645,
      0.435326587596861,
      0.0369654316582132,
      0.194722373847093,
      0.269161448920204,
      0.282255009704592,
      0.0906780129010329,
      0.18140073183579,
      0.293987924688682,
      0.172183083776912,
      0.181841019664348,
      0.0586672422720463,
      0.484844687594509,
      0.139292576421958,
      0.38030898265776,
      0.122826221279398,
      0.330835752829515,
      0.203115743822426,
      0.318192906108523,
      0.166017464824824,
      0.347766578773047,
      0.0639180754836151,
      0.100140501407809,
      0.39619107967809,
      0.280668632141366,
      0.170520316716584,
      0.260003877064998,
      0.256369986777076,
      0.0384237921196175,
      0.214340089800027,
      0.22673758664417,
      0.462370497761562,
      0.239351146726434,
      0.300833106422072,
      0.281205267206802,
      0.205183374282747,
      0.182766573769309,
      0.229743935926183,
      0.199075683225212,
      0.258737298493532,
      0.202918803728389,
      0.125382639939129,
      0.430695392626748,
      0.24533138833141,
      0.300517382779954,
      0.348009141248298,
      0.368702706871947,
      0.114183520615942,
      0.255572527493233,
      0.138910085216456,
      0.473873887036407,
      0.239155086760156,
      0.222798821394518,
      0.274298640593344,
      0.138275896306366,
      0.227541678356262,
      0.318798678092648,
      0.380226593283057,
      0.282332481259146,
      0.293748892251283,
      0.318383561086109,
      0.48032219031842,
      0.292851406359334,
      0.373944438389281,
      0.309207058143923,
      0.270538914987645,
      0.285713246287307,
      0.281231559909049,
      0.267818447760535,
      0.4431624058841,
      0.190147973113831,
      0.179747448638045,
      0.27278757008127,
      0,
      0.244660337207179,
      0.309493659569682,
      0.167994841638507,
      0.235296669135106,
      0.266853282444404,
      0.190594050152321,
      0.468749226747329,
      0,
      0.385804170951771,
      0.3427797623267,
      0.346280357147617,
      0.224835101404063,
      0.292983194935549,
      0.0488107678836317,
      0.337016260342534,
      0.148070496867931,
      0.0354331339782946,
      0.322298817212383,
      0.396340458151482,
      0.223698078965719,
      0.249082560466689,
      0.302145397255333,
      0.0918994196665926,
      0.204742948617768,
      0,
      0.480717318998604,
      0.0846235546258257,
      0.382289747999815,
      0.145208077554797,
      0.279856074774665,
      0.148939161647245,
      0.224192176024746,
      0.361739534510246,
      0.271100948521866,
      0.110776742154423,
      0.273477284513627,
      0.44549085300532,
      0.0467101296415893,
      0.295278394485492,
      0.27296397088439,
      0.218394188289945,
      0.147040985088515,
      0.293601349682849,
      0.371393702235398,
      0.471937844420265,
      0.155576327401478,
      0.299475836255512,
      0.280372270579857,
      0.199593639163445,
      0.377874601879595,
      0.0197324375363851,
      0.0668869372844956,
      0.0587951457990368,
      0.175567162153885,
      0.034908776054866,
      0.452647227048419,
      0.169098447686642,
      0.361450925280518,
      0.399007208451044,
      0.379067476852841,
      0.287559079871475,
      0.337521968587457,
      0.157294246635671,
      0.435621259572972,
      0.203380975356442,
      0.251556419265071,
      0.264697362659654,
      0.212089285668961,
      0.119686387832936,
      0.241345299760534,
      0.202087443270353,
      0.420517858996605,
      0.495079702703918,
      0.301766189755773,
      0.492518305773835,
      0.256985695324029,
      0.409955315006604,
      0.168069188773102,
      0,
      0.141299095033756,
      0.183588016402832,
      0.298346461468751,
      0.36690454570121,
      0.227858963363636,
      0.147555201514946,
      0.371164239781097,
      0.12124247268783,
      0.201314547852247,
      0.262450020202111,
      0.178668306022485,
      0.115355635320125,
      0.208731864821274,
      0.0443865427128702,
      0.478630535117961,
      0.36942677040836,
      0.378042802062511,
      0.312662651332648,
      0.312417585328205,
      0.0794497841917057,
      0.191944799482944,
      0.240839768347003,
      0.255262805977082,
      0.00758448622576797,
      0.120962288052425,
      0.379517856434724,
      0.254513229809255,
      0.296273345593556,
      0.341390891215022,
      0.364101521629708,
      0.137114911966412,
      0.319368904978496,
      0.0858667325811875,
      0.478772895575541,
      0.151813539048609,
      0.30259566771306,
      0.231566210328682,
      0.205036851533113,
      0.175277978410964,
      0.271426445898953,
      0.180363799466073,
      0.229932717320839,
      0.156321459261618,
      0.14877724981205,
      0.469942093380583,
      0.277964427620053,
      0.372800997917167,
      0.190169297803346,
      0.33383574241537,
      0.0525649316395228,
      0.336811625460524,
      0.32018549672637,
      0.44189676088318,
      0.277149733849408,
      0.257050144394597,
      0.328918184127189,
      0.338666406327162,
      0.32546781623772,
      0.324329728656608,
      0.20615184665843,
      0.279599266646134,
      0.276446985604323,
      0.29631403953473,
      0.459681383613729,
      0.277060230566184,
      0.268339651777003,
      0.299817493119108,
      0.330362673918859,
      0.284281347388798,
      0.284005991112023,
      0.192144842227443,
      0.338562647262582,
      0.199064550222654,
      0.0641898909459254,
      0.40896224393149,
      0.226945828169944,
      0.218537958525479,
      0.364786708953215,
      0.323748834506318,
      0.277322992436194,
      0.368888088660563,
      0.314400515482083,
      0.475636850022542,
      0.254537035711888,
      0.279797704416539,
      0.294172652854613,
      0.260579296196935,
      0.288863547143434,
      0.264204255015994,
      0.286260504857072,
      0.219988380984614,
      0.216240265574537,
      0.18603845852527,
      0.436826360393408,
      0,
      0.252411484110112,
      0.321483240071874,
      0.248166948234169,
      0.0880882692981839,
      0.303282122963801,
      0.207401441590262,
      0.472989695114851,
      0.212188642113837,
      0.317906435568982,
      0.203397759586756,
      0.185654755805007,
      0.168808741967721,
      0.104145112115324,
      0.185372058685017,
      0.118500486053252,
      0.136510253808862,
      0.163431358659546,
      0.431958880803514,
      0.233115479740048,
      0.372877132530403,
      0.36914325225522,
      0.368651874984026,
      0.136414265534086,
      0.345725237687727,
      0.303505520727664,
      0.44426065130596,
      0.236859679860537,
      0.18334328063725,
      0.258331110741659,
      0.0994594979958949,
      0.195457745671843,
      0.275306161185307,
      0.18030094005359,
      0.0256181157323503,
      0.203039897916647,
      0.10477748868685,
      0.484849235644546,
      0.030924023633569,
      0.344410854051209,
      0.307975577504808,
      0.333748246256797,
      0.0867418947946777,
      0.322146078289925,
      0.161878644090044,
      0.34841593233085,
      0.190054834132063,
      0.163025075960047,
      0.376827440356901,
      0.0805634838560026,
      0.192090642532589,
      0.174168614980632,
      0.192485748392264,
      0.110477038478958,
      0.0647356496980069,
      0.0992486906934768,
      0.4726390995263,
      0.114535363236479,
      0.120966568346897,
      0.157602483645879,
      0.10939192407765,
      0.182190779004307,
      0.0548818026301784,
      0.114350674352571,
      0.0759999285422994,
      0.0838572388348368,
      0,
      0.0980621126304591,
      0.0332723686520255,
      0.0911003777557738,
      0.125788171797748,
      0,
      0.105642548657625,
      0.22802933392182,
      0.225715534228311,
      0.240367887982239,
      0.158486203685999,
      0.147794884949422,
      0.255725456687796,
      0.162515270784726,
      0.204905750192826,
      0.169084503251679,
      0.157224618219988,
      0.222525397757966,
      0.253483966341482,
      0.0455728949692978,
      0.163605384893634,
      0.280281948826893,
      0.190086495346371,
      0.13664533220818,
      0.0263293885230519,
      0.13576810235074,
      0.120952793173204,
      0.155798821606669,
      0.0859045671927599,
      0.293181791460567,
      0.211175390972944,
      0.271477632032363,
      0.171102538540151,
      0.190268771054077,
      0.0539251874424521,
      0.169877812860713,
      0.297820547463073,
      0.247951889386025,
      0.00874411514000543,
      0.274167366046829,
      0.250643781829018,
      0.162050438864384,
      0.0378407853508317,
      0.240544904467636,
      0.175835178522174,
      0.056814975582488,
      0.0163325447952579,
      0.0559773403472903,
      0.0940619737641537,
      0.104139536106749,
      0.216653412528868,
      0.177938991902912,
      0.387569982404839,
      0.204090188948522,
      0.176477229932303,
      0.323540889199726,
      0.219765780237766,
      0.182303625829573,
      0.21154943251525,
      0.174973957190441,
      0.0834621284382832,
      0.209859976564515,
      0.0631265617678726,
      0.452252965813593,
      0.16426024752975,
      0.125689493478073,
      0.244838914334041,
      0.102205120606486,
      0.23902177888468,
      0.268217942300845,
      0.375489323272484,
      0.358709532091071,
      0.276972730432794,
      0.252071991620944,
      0.360289465283303,
      0.24334334939315,
      0.299209596234839,
      0.316445261152065,
      0.268978742609356,
      0.285676357149364,
      0.26710363183578,
      0.275335120478609,
      0.485865814835962,
      0.198037968837138,
      0.221834821796585,
      0.171550152868429,
      0,
      0.302002410239268,
      0.27968923806971,
      0.171638102359965,
      0.242453500702504,
      0.331280539221015,
      0.347243402769859,
      0.444173505773001,
      0.0770817759684777,
      0.326532291933875,
      0.318390685240241,
      0.367387021282104,
      0.325864455254414,
      0.381142643930035,
      0.262804554531807,
      0.482857856759423,
      0.373776106781419,
      0.378999499539415,
      0.21583170619564,
      0.25352049926454,
      0.33782461399788,
      0.275197292971209,
      0.130766583848959,
      0.406528543696711,
      0,
      0,
      0.427619183445915,
      0.0445617070901428,
      0.351321720099613,
      0.34089729890821,
      0.382179538762719,
      0.146976522771123,
      0.402018236495253,
      0.157985917707978,
      0.487424694043005,
      0,
      0.25748379845342,
      0.337254435825546,
      0.386897621812893,
      0.398297270607542,
      0.00191342038474832,
      0.216526424563969,
      0.226354705240889,
      0.210901917019722,
      0.374265313000403,
      0.460636198548494,
      0.282396912753611,
      0.39612009901732,
      0.36216380752868,
      0.434580184339778,
      0.0548102502757591,
      0.378901215449009,
      0.211598805886185,
      0.301751691720616,
      0.136575477782528,
      0.116549897994279,
      0.423077466117512,
      0.200308369850234,
      0.186386438618091,
      0.443437930500271,
      0.285539659798406,
      0.386881178276916,
      0.287622893762407,
      0.278293129060137,
      0.463570337265728,
      0.267029302491788,
      0.434562944200992,
      0.159819887758926,
      0.17803719952229,
      0.136958581173829,
      0.16421519257851,
      0.158772255422615,
      0.250215830001098,
      0.362120329893971,
      0.318751244109398,
      0.413876208903559,
      0.25462591205008,
      0.386383549339349,
      0.224653205749248,
      0.0817014240531817,
      0.1430324151657,
      0.213039019271546,
      0.166971994750518,
      0.448967973165114,
      0.109945871569001,
      0.137402402097122,
      0.207690543704781,
      0.0862194030156136,
      0.117933865963576,
      0.248493992977637,
      0.161582875629392,
      0.112089971080409,
      0.164473411146379,
      0.0184937467151503,
      0.453979762175811,
      0.349168084639253,
      0.363200008362864,
      0.359176540181827,
      0.407926044408433,
      0.0147909179257155,
      0.41997340583579,
      0.225374798656447,
      0.438793844893741,
      0,
      0.257529688113423,
      0.289036340144829,
      0.25131247281375,
      0.118190958758441,
      0.160029151775854,
      0.282279606626839,
      0.178554646001739,
      0.202077085272372,
      0.0261784049412419,
      0.455260032981061,
      0.112604635560083,
      0.399196280699861,
      0.0833333471062491,
      0.403582065990581,
      0.177207883053779,
      0.373023119274919,
      0.151166224671873,
      0.341786085760197,
      0.0545580030438844,
      0.0860264043165164,
      0.383728423388174,
      0.24150289378553,
      0.128044442794163,
      0.2492060478739,
      0.245598535974912,
      0.0517159500332628,
      0.288029402843512,
      0.31116848560018,
      0.459812858409017,
      0.160696579832237,
      0.313418343672596,
      0.305851955688034,
      0.230961744470549,
      0.13938093738514,
      0.208245288713362,
      0.164237560264378,
      0.300789882925734,
      0.223127518414702,
      0.155125537484112,
      0.431876691719004,
      0.262669343336361,
      0.282860619536764,
      0.327462038380635,
      0.355029277418888,
      0.130711662433131,
      0.222426525292618,
      0.0912093910199989,
      0.445934802954443,
      0.176347466587748,
      0.265856761218518,
      0.279326499689459,
      0.167571739230559,
      0.247871737269529,
      0.300531702335064,
      0.350929629614478,
      0.289020222723702,
      0.275379628526186,
      0.283361029713889,
      0.475990740830201,
      0.255160309768264,
      0.363903524699122,
      0.35550676883692,
      0.3251364964431,
      0.298435040759585,
      0.280079457593285,
      0.288061015450568,
      0.411108323814352,
      0.236559364134844,
      0.232132196417543,
      0.313157723650834,
      0,
      0.244719605876837,
      0.315920116594317,
      0.20994469839171,
      0.275509540273951,
      0.349728322893151,
      0.24082223615609,
      0.467075590215686,
      0,
      0.413492790063621,
      0.364074884605705,
      0.417562732264006,
      0.296772754748528,
      0.379580312405357,
      0.137430752814678,
      0.330794511766501,
      0.16514416560852,
      0.0481721716904483,
      0.31806051492356,
      0.459777162132507,
      0.376664243965193,
      0.240171046290041,
      0.297412887987136,
      0.214659809921979,
      0.279779656066681,
      0,
      0.463586986615802,
      0.0211061187137099,
      0.424540075953109,
      0.133990146788037,
      0.367187142557496,
      0.0643150352264356,
      0.253817731384239,
      0.414977293180752,
      0.349500150180935,
      0.085105858206231,
      0.319971735291374,
      0.426222501469921,
      0.0468842349979097,
      0.311136073028808,
      0.338405206312293,
      0.28345417114272,
      0.298185402665389,
      0.375591136218306,
      0.409994905696906,
      0.479157194552772,
      0.153610104860867,
      0.389445021400582,
      0.315861972236122,
      0.256953760401186,
      0.353613599757697,
      0.029085309244117,
      0.0118704588303903,
      0.101716755264812,
      0.242544884632405,
      0.0839430048526195,
      0.438772751292845,
      0.169806521063927,
      0.365676830607061,
      0.406483171406002,
      0.403980805494549,
      0.330762076410917,
      0.41037404253704,
      0.242027941513095,
      0.444216493661108,
      0.296004004419716,
      0.274915503476193,
      0.270024564728633,
      0.20690736262724,
      0.145850451182137,
      0.148621514176929,
      0.179526859528704,
      0.442026340857815,
      0.47535417632448,
      0.340338426154719,
      0.490823865113316,
      0.259196673400424,
      0.395739836404283,
      0.177915622007905,
      0,
      0.110088679374257,
      0.12495654462137,
      0.262625127835739,
      0.33714529527922,
      0.100125548721588,
      0.107269558576879,
      0.34485461842192,
      0.111671834734662,
      0.182059761457397,
      0.251075943246672,
      0.186414425056292,
      0.105718846516903,
      0.272717928969978,
      0.0650102410607537,
      0.471103952191867,
      0.3775492398409,
      0.433387411207171,
      0.330613336462165,
      0.394065251461414,
      0.10957083726912,
      0.260563151136332,
      0.280948276189846,
      0.267996348439169,
      0,
      0.157053819501377,
      0.382767154311804,
      0.285106521574987,
      0.288527413200679,
      0.326809262681902,
      0.356891901106089,
      0.142394713403847,
      0.391667358222216,
      0.0790764751143199,
      0.47526014104454,
      0.148643919209337,
      0.379374858305921,
      0.193335323461999,
      0.270654118520414,
      0.205811367288432,
      0.272071655396847,
      0.157171365350202,
      0.259030336317489,
      0.20948063615188,
      0.144464780609405,
      0.453544676958044,
      0.274559665977512,
      0.36107268410402,
      0.158375024628679,
      0.385572708613297,
      0.0713329073002509,
      0.412925433147916,
      0.300710989273189,
      0.4388695985198,
      0.215885573417333,
      0.20058541598325,
      0.347297888422674,
      0.326443292494261,
      0.29910634760223,
      0.339919589924414,
      0.216656653420198,
      0.31095654922331,
      0.324476893184061,
      0.296650870199177,
      0.469531728145264,
      0.308301317360698,
      0.285233083230799,
      0.294942364156796,
      0.341961388731008,
      0.283966928676074,
      0.26920783861911,
      0.136956465455528,
      0.310705149118794,
      0.18234366643432,
      0.0538463742948544,
      0.409295921679355,
      0.263703534171848,
      0.211558198650821,
      0.322605457831585,
      0.34160695881422,
      0.299472124990393,
      0.330276488573342,
      0.307645342794538,
      0.473075437079841,
      0.267616535471717,
      0.316775877495566,
      0.329910274479946,
      0.293401309769751,
      0.302337128401872,
      0.272209011628317,
      0.321002045969659,
      0.253536396179596,
      0.191874229670261,
      0.217932810766093,
      0.386021282800452,
      0,
      0.235419230250205,
      0.343693417545578,
      0.307327186563693,
      0.0865865256206465,
      0.360186107388397,
      0.157617799845665,
      0.450492328820133,
      0.280376380397589,
      0.392457646515323,
      0.252815152749817,
      0.268893156284264,
      0.21192310289103,
      0.155483503303506,
      0.214284769109164,
      0.119991731368687,
      0.171070613892493,
      0.229391376168637,
      0.425129501190189,
      0.191654977423759,
      0.351023843933473,
      0.362541087618036,
      0.409346091091552,
      0.156395880811752,
      0.412664272119887,
      0.294480483438725,
      0.438005080228583,
      0.236387825428191,
      0.264156484685729,
      0.284103471376102,
      0.0887476598574568,
      0.199441045934564,
      0.29915582276501,
      0.155049409338045,
      0.0568389816333138,
      0.174543014273757,
      0.199130513842483,
      0.470689347961754,
      0.0612578717385114,
      0.397727729709714,
      0.304585656586374,
      0.413967705483684,
      0.114414275633069,
      0.387798409697967,
      0.160698784899146,
      0.334122502903732,
      0.18201352203679,
      0.161969032194022,
      0.359867234393608,
      0.0894812035546555,
      0.172654070509191,
      0.169291463837613,
      0.212777990404435,
      0.161687968410947,
      0.0788331030038825,
      0.130078083172811,
      0.480358961879028,
      0.118249390167211,
      0.202868351199064,
      0.17131538713702,
      0.145395965922383,
      0.21791703081674,
      0.0492009060090751,
      0.123754781092638,
      0.0451618408588951,
      0.0530823749875799,
      0,
      0.103056696348941,
      0.0827249553546448,
      0.108421867003361,
      0.114100637084955,
      0.00047834606161843,
      0.171969204221607,
      0.243732520385152,
      0.223102075390281,
      0.198618733824015,
      0.177019145819612,
      0.144306995941438,
      0.232037475977332,
      0.210067666720634,
      0.215334613901395,
      0.153973068192262,
      0.138952327248884,
      0.183932020200661,
      0.193568282430451,
      0.0533113773021638,
      0.128276940427201,
      0.281978976925217,
      0.179558724419002,
      0.204866025229979,
      0.0797652954115971,
      0.144038947579628,
      0.134015375051053,
      0.180681909676711,
      0.113529737088466,
      0.310445438020456,
      0.23834793191887,
      0.267822596828581,
      0.19965411446158,
      0.209125594913509,
      0.05900057424977,
      0.180757243174037,
      0.317085380908226,
      0.214887902701266,
      0.035715010787357,
      0.253980682832661,
      0.257751100014955,
      0.209593420515323,
      0.0341200732307587,
      0.243043249502163,
      0.209863764416435,
      0.00565333596620836,
      0.0325128495388237,
      0.0155065286963094,
      0.0181596890715401,
      0.112828685798423,
      0.199542404533321,
      0.146921046015223,
      0.3516073877031,
      0.236347927521818,
      0.188647870100547,
      0.340489103819126,
      0.189358117038482,
      0.175210953022236,
      0.162137870791532,
      0.144422648135069,
      0.066630350550904,
      0.173644831205477,
      0.0454322161372823,
      0.489966111229272,
      0.139149941892096,
      0.155343563194179,
      0.183802603375754,
      0.032413196843515,
      0.230819083921357,
      0.27771209037286,
      0.338805883129661,
      0.373910139294588,
      0.35234233270572,
      0.252348121732437,
      0.39345565180677,
      0.238004673429925,
      0.31482632191347,
      0.334292419192903,
      0.274037148989969,
      0.256176462920094,
      0.274204115342496,
      0.234248303702247,
      0.492445759705235,
      0.227232826167794,
      0.153572788613474,
      0.187314152727744,
      0,
      0.249123392807594,
      0.301520341817376,
      0.131240719669484,
      0.314374890296373,
      0.330269853347927,
      0.415795695600705,
      0.43676982713682,
      0.0886908861422279,
      0.33946771360391,
      0.308547880212822,
      0.376769010365612,
      0.371737115723887,
      0.341765627866028,
      0.234236392584641,
      0.452133145794294,
      0.446231205945636,
      0.352606403804726,
      0.20607069923345,
      0.22431781198775,
      0.366023273493971,
      0.339149166786228,
      0.194420173659454,
      0.32261233104075,
      0,
      0,
      0.470570013513853,
      0.0862620024768317,
      0.346708611367244,
      0.379917401890402,
      0.346889573913217,
      0.210352801262159,
      0.396841867009917,
      0.233274622909446,
      0.415191191845043,
      0.0322749524064798,
      0.236187911653671,
      0.288158330049791,
      0.42331207740836,
      0.393062267312735,
      0.0782325666700529,
      0.208998814860456,
      0.288215016733613,
      0.236180242208518,
      0.393289270831556,
      0.495692149654631,
      0.313197577858956,
      0.388795180648872,
      0.420961839362875,
      0.438556365637268,
      0.0608496358067292,
      0.34932440548561,
      0.243415088934417,
      0.288267789795693,
      0.176530166155684,
      0.210020802689199,
      0.391273174819527,
      0.201728827233033,
      0.188627470052318,
      0.453015936935103,
      0.259536358257591,
      0.214358796790925,
      0.264238411210337,
      0.299720867384351,
      0.49633811134515,
      0.235413650529334,
      0.417795668918909,
      0.143184185336451,
      0.125937267908479,
      0.140529157057468,
      0.181319355383782,
      0.149797130971328,
      0.21258800291684,
      0.345806801623088,
      0.323448148239547,
      0.419390551763027,
      0.285327034501756,
      0.361472774721087,
      0.223194986637887,
      0.0932311636639435,
      0.166520124620524,
      0.163248986110289,
      0.134393953330207,
      0.43329476032036,
      0.105744326093873,
      0.122146961880942,
      0.183367258583361,
      0.152647602133129,
      0.147760657737499,
      0.268030922952784,
      0.230174412771546,
      0.106946503425715,
      0.183563468748109,
      0.0461831870729482,
      0.456220459804835,
      0.380828079272218,
      0.361637184341901,
      0.370629233842528,
      0.420129797200156,
      0,
      0.384975445565422,
      0.265523989915142,
      0.386679545076259,
      0.0280390147271209,
      0.238467729933016,
      0.288451803558741,
      0.190188357837614,
      0.119131879794098,
      0.121918585964254,
      0.274903442793944,
      0.167968126083471,
      0.227247161612607,
      0.0699600903859508,
      0.49002920001028,
      0.130930260481936,
      0.396210285646901,
      0.134218127833253,
      0.375172581855089,
      0.177076155574554,
      0.376929102366637,
      0.174453337258963,
      0.294699999816912,
      0.0595606189761579,
      0.0854297018987383,
      0.388213347425975,
      0.234350185662117,
      0.134801004250967,
      0.284125382745478,
      0.264059084972725,
      0.0493670728728135,
      0.258322684797171,
      0.276443624684534,
      0.493933289752803,
      0.157947355897395,
      0.331601215069318,
      0.325601616974848,
      0.237268560853789,
      0.163226508272851,
      0.187122823707773,
      0.166040972843673,
      0.292481086569797,
      0.259210498067393,
      0.125328241269908,
      0.418247445077396,
      0.193722448077581,
      0.270050079110895,
      0.311375960727086,
      0.355890347582652,
      0.148499268921468,
      0.13900040051287,
      0.0786427728138976,
      0.441325556502431,
      0.151448215457131,
      0.26790814270044,
      0.240970436001672,
      0.109878142158202,
      0.224884406569952,
      0.300778313702117,
      0.35210516036326,
      0.399523827127932,
      0.290535988068243,
      0.259202193534404,
      0.481894187495803,
      0.261090639202928,
      0.377103881625504,
      0.363371943140639,
      0.32770130671605,
      0.259830041180561,
      0.257698582489039,
      0.275926020586044,
      0.381818002353436,
      0.223186856815295,
      0.152966426652609,
      0.312156692969122,
      0,
      0.248913180018048,
      0.32272383292147,
      0.163291626787581,
      0.326910081233212,
      0.380327349729716,
      0.23568194576385,
      0.471030414985484,
      0,
      0.401940778043368,
      0.36565186859596,
      0.413870781321538,
      0.2435640935156,
      0.349304505490329,
      0.0798225042185763,
      0.24660226081024,
      0.26402783259,
      0.195169695635627,
      0.355975756182696,
      0.46546407805282,
      0.28346257890468,
      0.235764686742216,
      0.378416583438538,
      0.170913335369725,
      0.253315439005966,
      0,
      0.484417781614686,
      0.0563221473579865,
      0.440728627501694,
      0.174793137790206,
      0.339486493933216,
      0,
      0.258440603264007,
      0.36120651494684,
      0.260970245332126,
      0.0960571835566022,
      0.337214380782284,
      0.469324160965721,
      0.173553922518375,
      0.30177959101994,
      0.326028537404812,
      0.255687430553936,
      0.216324999458955,
      0.345236088388433,
      0.383422373542537,
      0.461452852514745,
      0.168637202465858,
      0.355909924194809,
      0.306166501394523,
      0.317054539137258,
      0.331233487500007,
      0.0913744670778042,
      0.0921505783120398,
      0.0698122266231846,
      0.236561554153138,
      0.13184100989345,
      0.445012261119211,
      0.200633930027866,
      0.347444681914814,
      0.405705818431054,
      0.398987814989032,
      0.363162059384872,
      0.38821455180429,
      0.270573626420377,
      0.417286547233178,
      0.255799703580564,
      0.301510021134968,
      0.264163727517631,
      0.166435845564062,
      0.159692353771814,
      0.159210432490053,
      0.170654793559422,
      0.460429820797851,
      0.42943883622542,
      0.342461454078958,
      0.504740394757278,
      0.254682286739521,
      0.409373701339215,
      0.152057549400565,
      0.0469203030153448,
      0.158597129542553,
      0.110940809692539,
      0.263536914370044,
      0.268560925984394,
      0.0836760289529307,
      0.0857629606109204,
      0.376100937025624,
      0.141230202815851,
      0.199625341856547,
      0.267049429070719,
      0.216739328508293,
      0.0921368042739086,
      0.259123919439814,
      0.100168833721008,
      0.478237199419623,
      0.39385667766288,
      0.405313390388539,
      0.331474494162027,
      0.382208662469204,
      0.0974331077363268,
      0.237770414709787,
      0.303436706554385,
      0.269013433533789,
      0.0453980797810162,
      0.145234227294455,
      0.43459406584134,
      0.30537816206834,
      0.276629402195023,
      0.328714430750263,
      0.361812740860483,
      0.143659001204035,
      0.340979427533671,
      0.0836426460164762,
      0.457742643950135,
      0.153926028325034,
      0.366258799607561,
      0.199461154322863,
      0.265598472986652,
      0.210420306364398,
      0.258094985785608,
      0.175915562293626,
      0.310573804738185,
      0.239222741855631,
      0.161798145285575,
      0.497386173331722,
      0.275410493796054,
      0.332450463977156,
      0.151288963501644,
      0.351264895604118,
      0.0666732848530973,
      0.377885415514121,
      0.29334580434121,
      0.413976831446078,
      0.157911984729256,
      0.260705166625853,
      0.36617339366251,
      0.328477802594718,
      0.390094165438217,
      0.358193886821508,
      0.247229285295819,
      0.290647233715242,
      0.311305866384122,
      0.338865606500291,
      0.484267359204443,
      0.296586388335852,
      0.266452044017015,
      0.236256571542245,
      0.329481679233654,
      0.261660178619515,
      0.194278373494475,
      0.115754847810725,
      0.252653758406352,
      0.129769594238618,
      0.0515009385380231,
      0.403526605067331,
      0.151905737035187,
      0.242343963156386,
      0.320017114193606,
      0.390506616100697,
      0.42054702328998,
      0.340450224236873,
      0.258292467688408,
      0.487594445139235,
      0.265502841922152,
      0.340425132252804,
      0.346401915449149,
      0.274107289220295,
      0.257369162306249,
      0.240374985861555,
      0.327982839833464,
      0.197673700638141,
      0.230494015065614,
      0.162494523851486,
      0.403210781823794,
      0,
      0.170189530555329,
      0.360528896688935,
      0.268569194004622,
      0.101064023125662,
      0.32804646714421,
      0.117720319168268,
      0.45234415304195,
      0.237152217483906,
      0.355818733984242,
      0.23663544332364,
      0.23945688573271,
      0.202596113538784,
      0.204129516990273,
      0.201137601630097,
      0.133300908945801,
      0.177946116400938,
      0.209111331769553,
      0.482742162610797,
      0.132061548969964,
      0.337679299110701,
      0.356582141721787,
      0.410930824123766,
      0.155252945628516,
      0.373532340471621,
      0.282847786143751,
      0.377998557355283,
      0.240335409427988,
      0.237247126263614,
      0.291534705672028,
      0.157721142888529,
      0.156739205175296,
      0.270251196174929,
      0.180348870288397,
      0.0184453142180054,
      0.235225257071371,
      0.180354426162391,
      0.508379535683109,
      0.0234322667757846,
      0.378096564675053,
      0.307174798720654,
      0.380903845500267,
      0.113052464781479,
      0.368173030763993,
      0.154783671921164,
      0.28440938430751,
      0.182643784905545,
      0.0878158981616824,
      0.353481981860701,
      0,
      0.144952603419983,
      0.163785766476743,
      0.208762326149289,
      0.185413029369837,
      0.0694241252851504,
      0.0303765038105273,
      0.492867576742792,
      0.114655256913052,
      0.208690947880174,
      0.169504406283331,
      0.108435451026756,
      0.166901204779416,
      0.100322083447439,
      0.125723755983054,
      0,
      0.0699131998682947,
      0,
      0.130748089210474,
      0.12475551849567,
      0.119216282326301,
      0.136211147459629,
      0.0186873449391439,
      0.202250425371437,
      0.254978291050233,
      0.228414751224005,
      0.215085977598146,
      0.199635886889291,
      0.186260011756654,
      0.262474948388172,
      0.229901963909071,
      0.193966386986251,
      0.144722794674068,
      0.148313186271096,
      0.193312128563126,
      0.0656958370507531,
      0.0841443056529717,
      0.133674238737004,
      0.336848770417397,
      0.142544567722298,
      0.174571296710087,
      0.100183361050438,
      0.163282978131667,
      0.148599922919361,
      0.219216422842798,
      0.179041102293189,
      0.312118272230242,
      0.208169868372991,
      0.240354956570031,
      0.225631315522376,
      0.257435535177286,
      0.0488275810154836,
      0.154727541157396,
      0.300930729215958,
      0.234650239800546,
      0,
      0.285194535211175,
      0.187418469403754,
      0.164132800438758,
      0.0710747817387862,
      0.265901300912171,
      0.182791695798113,
      0.0723279301602142,
      0.0993282747459521,
      0.0910106196871332,
      0.0608251380056409,
      0.149625306295403,
      0.217298217552949,
      0.130462545128678,
      0.361462097486244,
      0.198954850825533,
      0.127814054075635,
      0.330728478390605,
      0.155503095331053,
      0.130720847486982,
      0.126967848980057,
      0.105693151076818,
      0.0375885240561685,
      0.138474672143884,
      0.0649831925590191,
      0.501657455637478,
      0.131432319807921,
      0.170490062641649,
      0.165380216386117,
      0.0295958129358734,
      0.256431291401766,
      0.381872284882991,
      0.411831756880897,
      0.363173753457375,
      0.39054529458917,
      0.184303075609414,
      0.3808853938448,
      0.215204905026256,
      0.341105079315332,
      0.323024543660768,
      0.23936785881285,
      0.203343469524767,
      0.256685870874251,
      0.22674995131672,
      0.494892094586772,
      0.211894863635326,
      0.198983978978438,
      0.212625515677433,
      0,
      0.113417126352251,
      0.291227908640747,
      0.152532443065858,
      0.281497700961015,
      0.282763065978879,
      0.313457701386552,
      0.447051467875191,
      0.0944874951551343,
      0.35255353113237,
      0.325221712445358,
      0.351077299114101,
      0.382147106553771,
      0.382004052956225,
      0.235554588499292,
      0.460660874802934,
      0.36092172943607,
      0.367347942842326,
      0.218657195484317,
      0.249967678856188,
      0.462839236198379,
      0.360200215224455,
      0.254889199582156,
      0.338594681306132,
      0,
      0,
      0.476637687125652,
      0.0775092710788603,
      0.342641603626049,
      0.408844399373699,
      0.370164927433159,
      0.227075318921957,
      0.374820302100414,
      0.210667017437258,
      0.439344456085097,
      0.0168135603414587,
      0.307229784005025,
      0.280920648091274,
      0.320532559789997,
      0.321861870578018,
      0,
      0.166777135339086,
      0.320400147326642,
      0.24713986288558,
      0.323161469070559,
      0.502351141095062,
      0.321051943193362,
      0.411251076035508,
      0.427230446581859,
      0.467743707352837,
      0.0504011533730911,
      0.385100878155,
      0.217367375429359,
      0.29156367506982,
      0.171551454872727,
      0.230618044925604,
      0.430268361714758,
      0.178665904895859,
      0.205010176660178,
      0.388965705602759,
      0.267658194765852,
      0.206756498383537,
      0.268698284891548,
      0.316998690106763,
      0.508568390471855,
      0.371712834280388,
      0.405734018774242,
      0.130321215005695,
      0.122966461573392,
      0.130164200207629,
      0.200279743565127,
      0.179635025269833,
      0.238689775307608,
      0.295202588885065,
      0.312077680516033,
      0.413933374164535,
      0.258668741370939,
      0.380941131141773,
      0.215478341674546,
      0.101525974752892,
      0.129789283690736,
      0.14618412477314,
      0.11141450543385,
      0.452009095961082,
      0.127818490903793,
      0.0830516954547687,
      0.238321199212969,
      0.188684876116838,
      0.190259553662147,
      0.27489312308722,
      0.220977921513968,
      0.145992308031001,
      0.202887311170309,
      0.111002760849264,
      0.454350695457103,
      0.378175799562451,
      0.352856209662277,
      0.367108258997826,
      0.383730118842239,
      0.0236385958097063,
      0.399094425441273,
      0.253862478068689,
      0.406749557641062,
      0.00289622355185479,
      0.228805539311771,
      0.272905011174257,
      0.143475735086618,
      0.127251765470411,
      0.175182205016266,
      0.310706485668157,
      0.18281708164678,
      0.17838005832514,
      0.10984097592228,
      0.502251329149476,
      0.171891448850843,
      0.393002391143194,
      0.16118037522913,
      0.41803914616618,
      0.211112528189223,
      0.354854967700809,
      0.202344134837794,
      0.314218513413663,
      0.0605604275855878,
      0.0603144569642539,
      0.359439548881446,
      0.279767758609056,
      0.144239417362656,
      0.274249110387323,
      0.23751136443084,
      0.040794299247894,
      0.269931794613772,
      0.29185756901052,
      0.505181551614226,
      0.128356798667585,
      0.33171014697005,
      0.322114289509867,
      0.249526311953646,
      0.2215000281615,
      0.225577752925666,
      0.166091062260886,
      0.144795122886021,
      0.188044067780006,
      0.10806565546158,
      0.393919196250822,
      0.147299819141451,
      0.273192121840073,
      0.311661764700143,
      0.349520997530244,
      0.107538412640663,
      0.129982714529763,
      0.0344890240080963,
      0.448748263820561,
      0.118966038150617,
      0.275862701371294,
      0.268986230821022,
      0.0842517151809213,
      0.268926400066826,
      0.374730126749374,
      0.41566987828467,
      0.373855053042222,
      0.3461474008874,
      0.165099876102801,
      0.467358945401156,
      0.24182888596079,
      0.364319416999089,
      0.340557893847077,
      0.275816665189025,
      0.200311984829888,
      0.233171753852249,
      0.219353397818703,
      0.388135103666651,
      0.255124479425376,
      0.176211623376034,
      0.303691176026334,
      0,
      0.223474610503059,
      0.297280997346909,
      0.154517057123263,
      0.309906781893753,
      0.40894228596773,
      0.209215847648481,
      0.491491458640566,
      0.0000843531813340459,
      0.411758277530724,
      0.360660043369586,
      0.403119084665885,
      0.390096523178427,
      0.384212005471715,
      0.0699248599925227,
      0.29445359025277,
      0.234370569377906,
      0.190739486783775,
      0.333751521729467,
      0.410765264663896,
      0.293419448550508,
      0.241582954111229,
      0.409137126176195,
      0.179223432050725,
      0.265812256556681,
      0,
      0.491475052070429,
      0.0295154307666131,
      0.409941144780249,
      0.175846194312201,
      0.374886104376218,
      0,
      0.243301379291084,
      0.303094355402267,
      0.366272176790459,
      0.137840729462739,
      0.303843451548808,
      0.466069325618037,
      0.162976725495724,
      0.311648637273639,
      0.357441347852767,
      0.291307036696196,
      0.209126651507201,
      0.370909716824552,
      0.363829801503193,
      0.485783301091428,
      0.137041988270296,
      0.388747019267495,
      0.317028646777284,
      0.309144282150174,
      0.190999384955273,
      0.0799708475372319,
      0.0769367541938888,
      0.11830023745647,
      0.284990340666631,
      0.124741707488381,
      0.47280141446864,
      0.190184361822872,
      0.331066929237873,
      0.371478303945956,
      0.398110769300315,
      0.349320023609723,
      0.411608869127756,
      0.24869691603232,
      0.417143100348266,
      0.349336511415579,
      0.269916575700571,
      0.295644433149846,
      0.135665667035937,
      0.137089257806656,
      0.189017552099411,
      0.193183964160234,
      0.468985355347388,
      0.365460657600727,
      0.306380707604234,
      0.500739047298931,
      0.208346448526577,
      0.382637717500842,
      0.157779763654394,
      0.00639592169483389,
      0.118996868391221,
      0.12013590538529,
      0.257336013830462,
      0.284571704508378,
      0.0976736348371943,
      0.0462313447099395,
      0.361149236782233,
      0.155825919179488,
      0.228074183760526,
      0.27696710252692,
      0.234914850554791,
      0.115192895826588,
      0.264767885028132,
      0.161796292654853,
      0.488022844921828,
      0.399269144853029,
      0.428789000032979,
      0.319127985318074,
      0.386240611524568,
      0.0841503048997108,
      0.288166949001812,
      0.269911158113916,
      0.292404201358221,
      0.0192653493399846,
      0.130828510961993,
      0.411118429578264,
      0.231962392702101,
      0.271736117149801,
      0.33315334575381,
      0.378591093059683,
      0.182912120681809,
      0.366899842067077,
      0.112329544147501,
      0.469175936297971,
      0.178845408381738,
      0.37405374603566,
      0.239026537388136,
      0.291757734416032,
      0.21008676178355,
      0.261460792592869,
      0.216947842489242,
      0.309309530594741,
      0.208780886671765,
      0.143955470043461,
      0.493720292907837,
      0.266117028968202,
      0.361770304023641,
      0.137228625084822,
      0.379592742452632,
      0.0828004675413804,
      0.415455217229171,
      0.333252123634188,
      0.436467862732554,
      0.131256298928503,
      0.291558133455173,
      0.405481969766009,
      0.385049247456961,
      0.399278803994866,
      0.443846283225201,
      0.205471908628091,
      0.178309243343986,
      0.215348048405349,
      0.325493299882912,
      0.502349577744567,
      0.239805583970986,
      0.190745704691972,
      0.188003794589181,
      0.243378290240079,
      0.237908644107062,
      0.208204369640773,
      0.148764864411094,
      0.288043876826986,
      0.205556738153253,
      0.0849395695352488,
      0.361823432787927,
      0.202021520869754,
      0.260822834975495,
      0.365373700311032,
      0.434436358242216,
      0.391746839152732,
      0.41834959825027,
      0.186061779325039,
      0.483081620556852,
      0.234240225551787,
      0.400948558625138,
      0.333425836097706,
      0.206403169378453,
      0.20046416439906,
      0.20127020462522,
      0.251006040662139,
      0.179439364331861,
      0.238959634276606,
      0.160819948289104,
      0.426951499146235,
      0,
      0.164661418597199,
      0.316930189600427,
      0.297904651732387,
      0.12290790425369,
      0.352660742118732,
      0.0797153369780743,
      0.475971092548959,
      0.191410923054635,
      0.398806854572393,
      0.245758132886054,
      0.252310683402605,
      0.204052973100273,
      0.148404668228315,
      0.116955816546193,
      0.119114238555193,
      0.155383901622673,
      0.205925126585428,
      0.490860218946817,
      0.0503080605030036,
      0.33287038895226,
      0.36114363992387,
      0.420212241503201,
      0.145566619089462,
      0.415992340960247,
      0.265009485897213,
      0.41284678159965,
      0.211046501359946,
      0.237525917824071,
      0.278121374557643,
      0.133622578441676,
      0.137217706048171,
      0.225182053828397,
      0.166211701076085,
      0.00650909825076486,
      0.178766074319925,
      0.232234514374965,
      0.508331728479234,
      0.0431979000481864,
      0.426245892285781,
      0.29320645493689,
      0.419141223952629,
      0.141834314015088,
      0.397340309696952,
      0.123559400167016,
      0.31670353984217,
      0.190778727318018,
      0.110989742320509,
      0.359602812528663,
      0.070575725848609,
      0.139305902656423,
      0.130649517322737,
      0.190052970399976,
      0.155067938813559,
      0.128335300284638,
      0.00235022101642447,
      0.50318809909385,
      0.166460097843246,
      0.183084792485027,
      0.176653787583072,
      0.0831511584742012,
      0.1176826091474,
      0.107922756189299,
      0.0863609875943109,
      0.0669739042883398,
      0.116785005790418,
      0,
      0.185323698437255,
      0.138477494949056,
      0.110453682869422,
      0.164697934540519,
      0.00161152781188226,
      0.254028768828197,
      0.268819013504754,
      0.23007059655659,
      0.187455104765641,
      0.185823584111927,
      0.23004746028722,
      0.184868354776479,
      0.186597446568689,
      0.157672956140418,
      0.115525071520351,
      0.219266669350577,
      0.207675894156093,
      0.145961365925661,
      0.076558480639155,
      0.143933264277396,
      0.305026341349143,
      0.147470548572809,
      0.126993534879825,
      0.0332861775876692,
      0.219708496242018,
      0.158095421372665,
      0.214979097675914,
      0.189093130566873,
      0.311350926079839,
      0.186379766908362,
      0.196108443824273,
      0.192500452081817,
      0.297486247100075,
      0.00706430306543565,
      0.180568730332706,
      0.274473278674123,
      0.22902881829231,
      0.0147523853862897,
      0.267562453410399,
      0.152719568404993,
      0.170727292217014,
      0.0728354384816865,
      0.222447965856138,
      0.146688390816519,
      0.108776120439918,
      0.110646545165522,
      0.153444418029803,
      0.152715222354437,
      0.147987222975235,
      0.216139526632107,
      0.166956436735964,
      0.426421749376277,
      0.20219117041991,
      0.138112184250895,
      0.307431637356964,
      0.201447771561254,
      0.189710262976186,
      0.126081575808757,
      0.120923308328269,
      0.037507346493636,
      0.188309917467436,
      0.107750028016205,
      0.543015834596105,
      0.167227371998229,
      0.176222132930504,
      0.206404754032474,
      0.0557066283203854,
      0.250460564060728,
      0.297264246239901,
      0.44131175092326,
      0.377544804151245,
      0.40747044687582,
      0.191468105997488,
      0.384059378217446,
      0.209547412930966,
      0.280822932086402,
      0.287981521657087,
      0.205044797966676,
      0.200934937091748,
      0.236720046022779,
      0.238270625814408,
      0.545209550271094,
      0.243947696792694,
      0.257205219034593,
      0.24392847217867,
      0,
      0.100370018003047,
      0.302046488257423,
      0.195897203595062,
      0.282355532766044,
      0.292503789638806,
      0.240840428988964,
      0.496013941744365,
      0.0658646503490975,
      0.371564667999299,
      0.343763697010121,
      0.374638078605216,
      0.409090919022103,
      0.379816482464918,
      0.159619846971479,
      0.488296631979565,
      0.298680467565165,
      0.3321116579636,
      0.230887279462228,
      0.224898999849459,
      0.40322386453841,
      0.367853775179892,
      0.255049163452392,
      0.371454148424093,
      0,
      0,
      0.50217052060859,
      0.0430125068072697,
      0.36866245421738,
      0.3955836263659,
      0.374166899254052,
      0.270147097625355,
      0.381893149905741,
      0.175528363782012,
      0.459416592027746,
      0.0256556190877762,
      0.230471040576129,
      0.312515069153218,
      0.305653993069537,
      0.283273999349211,
      0,
      0.192002597974885,
      0.222723925161695,
      0.221411143965081,
      0.275897464870749,
      0.523822518226654,
      0.322943100794154,
      0.429951149587109,
      0.458784929026111,
      0.475092931151866,
      0.0181345248493227,
      0.333705327281269,
      0.233196739170869,
      0.336150093419445,
      0.182978636091667,
      0.259891033027608,
      0.408241025294852,
      0.184153378830649,
      0.210446189851112,
      0.335321369016717,
      0.300533663513035,
      0.158702167403884,
      0.290776081784877,
      0.35645232870724,
      0.558002972239804,
      0.286191789216195,
      0.420697912651161,
      0.124761346668413,
      0.160527179499509,
      0.11439214373763,
      0.213974269187443,
      0.196549805046296,
      0.225982365106636,
      0.313246225806593,
      0.355976206221018,
      0.473339352658769,
      0.233030768948979,
      0.401609144985558,
      0.25695616070068,
      0.0901602696153733,
      0.159105644473336,
      0.126889237049812,
      0.103640339779005,
      0.51527260631039,
      0.158926044542738,
      0.036877640369065,
      0.230791020021341,
      0.194308897764399,
      0.186968763910801,
      0.299633881648646,
      0.241644213849441,
      0.146432928297375,
      0.183146089429497,
      0.0544524921788573,
      0.474998052707957,
      0.402654629205688,
      0.37560402964506,
      0.388594939734539,
      0.418692692395297,
      0.0141002727068771,
      0.387437356408766,
      0.258485138858993,
      0.452005226461355,
      0,
      0.186814772786578,
      0.291294949438625,
      0.207229143740315,
      0.13403461587823,
      0.189342419851641,
      0.324059774003666,
      0.201986700920749,
      0.196264878153499,
      0.0705454634428542,
      0.516479731622691,
      0.229713711348325,
      0.401305428360757,
      0.163500926437052,
      0.385940265108219,
      0.212387834159592,
      0.328155869461856,
      0.185180312394738,
      0.362814430513277,
      0.0390547322111536,
      0.0876048553593338,
      0.359581343768136,
      0.274471007490366,
      0.148618273727814,
      0.294416826016937,
      0.196048303422556,
      0.0694441684188851,
      0.285815658273094,
      0.259797548880328,
      0.524139425034833,
      0.134827666370953,
      0.358066334191292,
      0.343839085984886,
      0.285948532810575,
      0.201417735580901,
      0.222204455014025,
      0.195587168657525,
      0.201344481785663,
      0.196686744955542,
      0.110540117694481,
      0.458138641152894,
      0.236921060960873,
      0.296921371170416,
      0.340706129341104,
      0.374366187753152,
      0.0980900265093012,
      0.199622470071292,
      0.116767238463276,
      0.513974171398393,
      0.207467106735167,
      0.309567934329441,
      0.267152419733372,
      0.152237795213071,
      0.267397324377425,
      0.288407936008624,
      0.36398516350942,
      0.318378499691326,
      0.349267840237605,
      0.171851318311405,
      0.529911911360129,
      0.196900993610307,
      0.362745975163935,
      0.261196291980939,
      0.231630100005074,
      0.207264967508275,
      0.175778509283643,
      0.212985824499652,
      0.456145675826648,
      0.281963642522764,
      0.211988931638961,
      0.312608488730792,
      0,
      0.130195335903899,
      0.343588341109772,
      0.213468056387058,
      0.217096870403444,
      0.387578148909536,
      0.178927556323182,
      0.489387159823683,
      0,
      0.415248648815724,
      0.387810321395278,
      0.433322117368204,
      0.277773104941229,
      0.330289033280301,
      0.125643195612591,
      0.376814924631588,
      0.268363739774108,
      0.234656126894844,
      0.342710845779622,
      0.432481099350592,
      0.277498471310107,
      0.253667505915915,
      0.415356865165929,
      0.140426496399011,
      0.28223521649892,
      0,
      0.521249603327371,
      0.051800849707277,
      0.396795832347469,
      0.0894629722761896,
      0.327138702728228,
      0,
      0.226028899840713,
      0.29992855926354,
      0.171106187341465,
      0.137133420538219,
      0.318678818297777,
      0.460887436045863,
      0.183914462347822,
      0.315725836510895,
      0.349512315785208,
      0.293587950091345,
      0.259558886008042,
      0.375606790072698,
      0.361389492518846,
      0.507777318309513,
      0.161750833452789,
      0.350222592840537,
      0.338161844436231,
      0.311691942295609,
      0.137599153133237,
      0.00586511998953027,
      0.0833900687227441,
      0.141813083631683,
      0.281655096620096,
      0.146598851698565,
      0.523094735047822,
      0.222613237223217,
      0.356153689838557,
      0.399490655262729,
      0.400254033245268,
      0.344664468455278,
      0.397602969406883,
      0.213366018016707,
      0.457730941229896,
      0.245924370807998,
      0.266654515799787,
      0.303289753816724,
      0.169337582244084,
      0.114129242394521,
      0.202907879427305,
      0.236469808973883,
      0.446206158415638,
      0.414534058767069,
      0.351421548396023,
      0.551682242603357,
      0.176401452924015,
      0.404813275526621,
      0.184093716824493,
      0.0218883889822663,
      0.139118225441479,
      0.133797342248619,
      0.142698933076258,
      0.353466439123367,
      0.133499919638742,
      0.0322032339899727,
      0.358532071286521,
      0.150106216541126,
      0.232747224785388,
      0.299595104863972,
      0.23909391718694,
      0.146788380152792,
      0.274466561164824,
      0.136423946013439,
      0.504990873917289,
      0.414910294161482,
      0.39949290411373,
      0.355064635058282,
      0.375198633361949,
      0.0408482548021872,
      0.226491429264245,
      0.250103598140982,
      0.246037858202457,
      0.0157371622488947,
      0.153612111447543,
      0.429027270866309,
      0.224288935379007,
      0.290519259639669,
      0.358574305197656,
      0.383240085726552,
      0.188171858040302,
      0.377251414264759,
      0.0295603808637148,
      0.50235196568472,
      0.24606075249632,
      0.34427046832931,
      0.228926511093576,
      0.264986726468777,
      0.210480430580249,
      0.212022322143748,
      0.187775459542716,
      0.319860588760964,
      0.178876319000573,
      0.0622839764727194,
      0.507945457339788,
      0.261034468783005,
      0.364742885654897,
      0.19382679802878,
      0.370488439291257,
      0.0841402778304525,
      0.389952919589823,
      0.3197088720427,
      0.457393152074413,
      0.210683606096682,
      0.275288707483033,
      0.342726492344967,
      0.406975458251643,
      0.423086312945389,
      0.288908594262639,
      0.196203137400135,
      0.214660298407966,
      0.229223224200413,
      0.237948698628457,
      0.553759804804579,
      0.293817938383009,
      0.223275707738608,
      0.228143232974286,
      0.230862314577616,
      0.238618529107079,
      0.259839887160226,
      0.214459595567018,
      0.346773042145052,
      0.240553656515625,
      0.0456570320390301,
      0.391704005720332,
      0.25419330598662,
      0.276518271856869,
      0.329411006879642,
      0.35730467252525,
      0.324940178609894,
      0.285340110315182,
      0.168715009535595,
      0.531691699250201,
      0.201440566926625,
      0.261091451290119,
      0.281939555138305,
      0.236034181702892,
      0.183849001657083,
      0.208724697617869,
      0.219020575657301,
      0.239000709198437,
      0.275615681055521,
      0.205927886218298,
      0.420559975440179,
      0,
      0.129253970078719,
      0.359191838026161,
      0.318716544538442,
      0.0944191159255612,
      0.346109791190624,
      0.120397814607308,
      0.49093232961672,
      0.183648833075982,
      0.34695858813206,
      0.253529499970563,
      0.208771736957722,
      0.20260597627246,
      0.0827989081690144,
      0.123601967713487,
      0.0937108018759603,
      0.0785444683616785,
      0.188364718062125,
      0.510723139814625,
      0.0554214862463612,
      0.356108894153866,
      0.383674556353976,
      0.422306939921403,
      0.108495137276091,
      0.392317887920319,
      0.265487241217904,
      0.445649112503174,
      0.185789650712621,
      0.187106504960592,
      0.316755032164458,
      0.0498068318550328,
      0.143529200048072,
      0.140621504016074,
      0.191820697197253,
      0.0634556758787038,
      0.16182250828466,
      0.107752862106175,
      0.543783858545259,
      0.0621539865688697,
      0.411614875828396,
      0.281679413053719,
      0.396358903060472,
      0.170088329141714,
      0.367360634437825,
      0.0499766838139629,
      0.349615890963286,
      0.222743493461469,
      0.139070822186433,
      0.356508049313487,
      0.0840753458563049,
      0.135821549229158,
      0.145575701722315,
      0.169901700830359,
      0.131247441635755,
      0.135540073499465,
      0.113442184038324,
      0.549772216486599,
      0.230661013815963,
      0.141131645046113,
      0.187598116637588,
      0.109245498075731,
      0.140768946091562,
      0.143891807907323,
      0.0921006307111691,
      0.137126401569697,
      0.132846824721772,
      0,
      0.182039929905091,
      0.145086502418686,
      0.0861718864610558,
      0.107359565750253,
      0,
      0.25893676252851,
      0.236813765163437,
      0.233051277291335,
      0.228491916295707,
      0.17972749243369,
      0.24074987088572,
      0.202168375576009,
      0.115005458822343,
      0.137994294585725,
      0.171881055815992,
      0.15451035360098,
      0.166422309872895,
      0.149807581585918,
      0.0484024594584226,
      0.22812381600718,
      0.271412656932717,
      0.195835604495229,
      0.154314288442268,
      0.100845962199011,
      0.24046074653825,
      0.197625781312956,
      0.183215688010368,
      0.196674235404453,
      0.264222689162525,
      0.261985953554157,
      0.217539620638608,
      0.154143926937757,
      0.275402466319704,
      0,
      0.176221960541753,
      0.282250755078769,
      0.161764695522612,
      0.0122977585592287,
      0.208696338044851,
      0.152645483590143,
      0.170642374060018,
      0.0525550036756261,
      0.150422221544265,
      0.156565021504613,
      0.132122880764603,
      0.0812766629489101,
      0.187244185924545,
      0.152176904877981,
      0.113603404611932,
      0.166724501585605,
      0.178742841302399,
      0.408233905769285,
      0.199770606594309,
      0.103341227661003,
      0.292022932829892,
      0.200796050095182,
      0.209757347319251,
      0.162147842409711,
      0.132940360770666,
      0.0428826395696277,
      0.1876135545113,
      0.0898421587361049,
      0.52632273328635,
      0.195335730405055,
      0.114600986278301,
      0.193794047232902,
      0.0731374362522408,
      0.209442040838059,
      0.278993095271081,
      0.399864500555143,
      0.349745969214635,
      0.299693807383125,
      0.229822201925334,
      0.366137550129379,
      0.224102358525619,
      0.311370897705688,
      0.313658182164682,
      0.194892601205765,
      0.23947661088071,
      0.218362353338976,
      0.254747107134592,
      0.526703493547861,
      0.257968868046537,
      0.272811808757718,
      0.216266026014234,
      0,
      0.112892212340314,
      0.317563425180653,
      0.263291495760812,
      0.328372086178193,
      0.239452838594774,
      0.290095204406346,
      0.453532974664831,
      0.0560512291697044,
      0.371736697014251,
      0.33669250107272,
      0.34210322995035,
      0.43226000217271,
      0.341647729863126,
      0.17382627021907,
      0.480469924165705,
      0.239675346055714,
      0.350119595306179,
      0.210502335025126,
      0.240898984755616,
      0.320012706426573,
      0.348588847305995,
      0.256515979763042,
      0.313098639935371,
      0,
      0,
      0.505090255108091,
      0.100716762064311,
      0.330087201895461,
      0.378896428283493,
      0.34829679676322,
      0.320795053715501,
      0.354162911272631,
      0.108801226719744,
      0.437948685077812,
      0.0515592694879194,
      0.257758623974088,
      0.345592605023223,
      0.312814106348371,
      0.209786585205361,
      0,
      0.21914278712763,
      0.184985587345947,
      0.256110594411171,
      0.243001880596799,
      0.532655385324977,
      0.302671657287055,
      0.411359763026679,
      0.395150798740451,
      0.490857852609006,
      0.0298702380127931,
      0.3296663633732,
      0.277406698550343,
      0.324082559165871,
      0.1425550582709,
      0.318761838245244,
      0.438050894105656,
      0.19108070623882,
      0.251124572768742,
      0.283304278820041,
      0.249062854699509,
      0.155424675803156,
      0.276801912059434,
      0.361568778966348,
      0.538904137519084,
      0.29622642657409,
      0.407702330847373,
      0.140466385801257,
      0.0804136339857639,
      0.116462743567752,
      0.182894445937758,
      0.216829140287361,
      0.2088199702956,
      0.294220975724703,
      0.242248782367432,
      0.457648242602152,
      0.239723517839164,
      0.358162391873642,
      0.195682711886736,
      0.0730513685097824,
      0.163771295475288,
      0.129742341294606,
      0.116887429146561,
      0.495026170824568,
      0.187876542270338,
      0.0547472611575789,
      0.229149587312105,
      0.207897997142305,
      0.165151051491276,
      0.323889271864184,
      0.272002265093668,
      0.139529178702139,
      0.130562116311856,
      0.0292353357862986,
      0.461518353988669,
      0.367366416811177,
      0.320547061675433,
      0.346079503813194,
      0.397837783031306,
      0.0298103687283096,
      0.376951755379009,
      0.15737309129324,
      0.428202604865474,
      0,
      0.21237576003369,
      0.277209308025928,
      0.193579661664166,
      0.121151891320542,
      0.219801173795143,
      0.24279589005121,
      0.190125647549716,
      0.172505029025905,
      0.0861947571261276,
      0.518985204810249,
      0.234311790264523,
      0.378954669832513,
      0.173106670707954,
      0.374183352169567,
      0.248065636142429,
      0.330109134491408,
      0.156001761639657,
      0.365326957301167,
      0.0226142543349988,
      0.0704896219799929,
      0.396169357288674,
      0.269869072405329,
      0.156484719263022,
      0.272627917208032,
      0.186517061493979,
      0.0707421488860997,
      0.262102833976149,
      0.268723135002268,
      0.523444020248674,
      0.153288406850331,
      0.335986954139416,
      0.328648628862247,
      0.265892403846936,
      0.165382264666817,
      0.180889949906605,
      0.172021336111584,
      0.204324056300388,
      0.171059650874131,
      0.0921129570896196,
      0.430471475141533,
      0.207436397515614,
      0.261034373146806,
      0.296304681911367,
      0.320435510801909,
      0.0624114822262742,
      0.17300379655381,
      0.10962893002652,
      0.490418539231109,
      0.189239049138661,
      0.285274120687328,
      0.244386271459437,
      0.13021253073744,
      0.221041318585876,
      0.265870930585755,
      0.322385379011397,
      0.291145159751155,
      0.326060573404251,
      0.227361409660506,
      0.512705142930376,
      0.216596108881215,
      0.332773922278657,
      0.306444374967291,
      0.243814026210919,
      0.226159485972545,
      0.212359791551974,
      0.221224866487675,
      0.434092960030049,
      0.215401778552613,
      0.302946460791306,
      0.286520851845349,
      0,
      0.105062857981648,
      0.33394551938387,
      0.235752254104354,
      0.201074182505323,
      0.420707358944643,
      0.234172570232046,
      0.493153373358002,
      0,
      0.374128623487414,
      0.369413675606939,
      0.409182028541414,
      0.307033115214456,
      0.326933692394417,
      0.126759511878457,
      0.389478802781846,
      0.313602016796977,
      0.279015293567187,
      0.345066057202641,
      0.455803362481019,
      0.318413890137086,
      0.223159336767,
      0.419010340025327,
      0.157214322982084,
      0.256226460194725,
      0,
      0.515947847283459,
      0.12991206810002,
      0.373694639809229,
      0.144533830915721,
      0.328065012143486,
      0.030844619609859,
      0.292558062302311,
      0.230108087239982,
      0.143616439647793,
      0.140933409761226,
      0.334832153350865,
      0.463216345289166,
      0.172523297188788,
      0.303055708918873,
      0.361483732214436,
      0.278315279578706,
      0.319497825124486,
      0.343857578986237,
      0.307723192197303,
      0.489415540118657,
      0.168040229795116,
      0.343090346114999,
      0.315527016838127,
      0.318992883228532,
      0.0867295523132401,
      0.0435345406981273,
      0.0394143599425872,
      0.178628539453201,
      0.283481853033676,
      0.129282086536519,
      0.484726553696794,
      0.273252015977547,
      0.335417194493636,
      0.362504802614146,
      0.377895182150189,
      0.300082688605018,
      0.373467005717953,
      0.218407506031766,
      0.447078151169028,
      0.259914541622951,
      0.29320897243389,
      0.318653958361226,
      0.123086721168984,
      0.126662278181584,
      0.2072405907782,
      0.224589264043629,
      0.411121394674513,
      0.392354677562041,
      0.242293075634852,
      0.531402940520044,
      0.189240438233061,
      0.371862471841913,
      0.134256872838862,
      0,
      0.1591886081303,
      0.150074616059402,
      0.153837943566169,
      0.332741731467873,
      0.164979636369413,
      0.0685918728547476,
      0.385506385813624,
      0.188668431079501,
      0.196157448000829,
      0.31815839631697,
      0.250914214765201,
      0.137483338492528,
      0.262735700764435,
      0.0881394620436351,
      0.502674101400946,
      0.380460991716225,
      0.383990166334438,
      0.332484962366453,
      0.364008269558542,
      0.0358690031308803,
      0.222707887806032,
      0.139608083582578,
      0.206800845570797,
      0.0145493390115745,
      0.134062353498371,
      0.463918900432584,
      0.214978345100534,
      0.264297956972231,
      0.315692620568325,
      0.339460964053498,
      0.14276235754107,
      0.335205670467639,
      0.104990227771728,
      0.480052075739513,
      0.252031770673548,
      0.343482562159985,
      0.267687415873399,
      0.242749461803917,
      0.24820001978429,
      0.233653204912088,
      0.158602166085046,
      0.305968188745317,
      0.198866262205463,
      0,
      0.515411850081592,
      0.280034174425305,
      0.318426419333849,
      0.20091754855896,
      0.339112449916268,
      0.1026208628492,
      0.369411718647326,
      0.337429407292163,
      0.442664832034739,
      0.201038448176924,
      0.241297377990648,
      0.318496835438116,
      0.358273942820226,
      0.284402791853218,
      0.294479025908445,
      0.18851789713717,
      0.237632430471358,
      0.229051408927535,
      0.234600655594405,
      0.528752302235251,
      0.272302637687318,
      0.236748077141971,
      0.239177515927756,
      0.218591371785123,
      0.281486658712321,
      0.22676252547336,
      0.258673618353668,
      0.327438012506156,
      0.187682919498458,
      0.0251680964252665,
      0.389128083508881,
      0.250494619538783,
      0.207554659289855,
      0.314809537130367,
      0.246136192461006,
      0.283272141003057,
      0.296969469154817,
      0.224222892093542,
      0.513942867454354,
      0.252366894632053,
      0.280660433924079,
      0.272095417306024,
      0.242086016669619,
      0.230670335659009,
      0.228260242789168,
      0.20167187889719,
      0.290222362231178,
      0.201964104398942,
      0.305551577871403,
      0.443198517282443,
      0,
      0.00510372524533784,
      0.347933161378498,
      0.302640804811055,
      0.0433206545291352,
      0.313968609839823,
      0.171490697966145,
      0.469554234420441,
      0.140203111354773,
      0.342963051642083,
      0.231848281813616,
      0.233482558115146,
      0.223356854415803,
      0.094887268871673,
      0.142127054404393,
      0.102037559625099,
      0.0720155060065121,
      0.155068542501944,
      0.529561777096895,
      0.100137448618921,
      0.3260969642903,
      0.349983527547704,
      0.392056846562435,
      0.115027530095275,
      0.365729829662956,
      0.288398805825971,
      0.425932331236973,
      0.175237474000594,
      0.219086693673656,
      0.317215421113675,
      0.15025544586543,
      0.120835361808535,
      0.083150336520937,
      0.19790138925168,
      0.07556112504695,
      0.133905540671503,
      0.112729424338415,
      0.53909673285832,
      0.0955472805989293,
      0.371707805810933,
      0.30063135792515,
      0.366329010086535,
      0.159293591716811,
      0.351874790842405,
      0.137421324607249,
      0.336628487198688,
      0.216602752154545,
      0.16207909873856,
      0.326119057675058,
      0.094859925567921,
      0.167191306681599,
      0.199298510955532,
      0.123295904990919,
      0.13665250320553,
      0.105292962865285,
      0.144139560958759,
      0.535874101025251,
      0.206069934377071,
      0.107674649538325,
      0.194042628869487,
      0.0968046178583664,
      0.161334666229315,
      0.165959285855146,
      0.0929797364491712,
      0.0885144690751412,
      0.114457407280976,
      0,
      0.167828434659967,
      0.172430945435546,
      0.0967453717254453,
      0.115944608651672,
      0.0292286474972013,
      0.243776168359704,
      0.209745043372904,
      0.225830580172133,
      0.263572615128562,
      0.204804061196927,
      0.23482606633651,
      0.230773272370367,
      0.139037626393119,
      0.185235159023088,
      0.163830687612178,
      0.158033898472041,
      0.167229992922628,
      0.131077399504392,
      0.0419676129312893,
      0.277908300572482,
      0.209288348874604,
      0.151189435179863,
      0.180477762768954,
      0.144899525251023,
      0.195069220246538,
      0.215403362628631,
      0.152303388167681,
      0.219345851542331,
      0.236858277037004,
      0.273971599853495,
      0.222261881803476,
      0.171419101318803,
      0.274056071218924,
      0.00233137338142175,
      0.167007718126107,
      0.298638561531428,
      0.131768563767574,
      0.00424107003125907,
      0.187355633912402,
      0.118928302812641,
      0.151090061112913,
      0.0723891255455169,
      0.155670876990972,
      0.173964946723218,
      0.0934354134358588,
      0.0457583581357437,
      0.142840710974911,
      0.119046905308178,
      0.101648290577255,
      0.1579957492211,
      0.199605023095479,
      0.385635910340905,
      0.162816030074831,
      0.104443967164429,
      0.276683924864334,
      0.171741036756969,
      0.155084589765464,
      0.158040810160564,
      0.153063543790995,
      0.0151268193822662,
      0.167608129238295,
      0.0608990817938697,
      0.491620997430403,
      0.175404405371452,
      0.115204939360921,
      0.138164040812595,
      0.0347435125105583,
      0.255157857383941,
      0.237694882089224,
      0.280837747208506,
      0.329881898442156,
      0.248652234519188,
      0.255677210954859,
      0.353732368583581,
      0.242068843060259,
      0.311486264038202,
      0.293025659121116,
      0.185481217377976,
      0.223445347358333,
      0.214166191668501,
      0.230527799666289,
      0.494291546599375,
      0.221647781133185,
      0.221054983719025,
      0.164895464941815,
      0,
      0.0174514086554299,
      0.312266225823427,
      0.247125124235524,
      0.333009803564227,
      0.181093943811107,
      0.270917071535819,
      0.464323817265492,
      0.010615550335383,
      0.36194409820518,
      0.348874053469249,
      0.374215234266394,
      0.420612872685129,
      0.353039727724164,
      0.188742040789991,
      0.469009297916203,
      0.236973768929236,
      0.380803338794699,
      0.188105874173268,
      0.301771897774413,
      0.243675916580265,
      0.282880930842197,
      0.227559055434964,
      0.261682962940518,
      0,
      0,
      0.505009474689069,
      0.170523919797014,
      0.343664082437481,
      0.419484319341106,
      0.356938851636193,
      0.366720708156211,
      0.356941896569536,
      0.114185974611009,
      0.428112253313231,
      0.060450025850279,
      0.315431054993371,
      0.29315474052091,
      0.300479225046419,
      0.241471479402616,
      0,
      0.197889045770313,
      0.227139910121666,
      0.237716160243203,
      0.230815885379573,
      0.505404370406168,
      0.276534035208755,
      0.432542654051719,
      0.386600432527314,
      0.488473302195122,
      0.0491604857084337,
      0.360274672888185,
      0.286513036648663,
      0.30686410807368,
      0.194298019412242,
      0.262847670152643,
      0.410059926680402,
      0.222343328071358,
      0.339282443379833,
      0.239436915319671,
      0.263986972367688,
      0.199081827340334,
      0.275987334419195,
      0.329485448627163,
      0.506546490545587,
      0.178781177085733,
      0.424525887262777,
      0.137025859018841,
      0.156590963564479,
      0.164407717536064,
      0.170017716794277,
      0.195077728204007,
      0.204778635825341,
      0.305113951250147,
      0.259300216004457,
      0.431554418992341,
      0.21653779616498,
      0.314836270512623,
      0.152259575495896,
      0.0502453072969367,
      0.16917454709808,
      0.139528941135255,
      0.150615515128135,
      0.458090477507285,
      0.230314002269698,
      0.0865206024677752,
      0.255467386872954,
      0.20126352698468,
      0.227341188257246,
      0.296274310302912,
      0.228034526481175,
      0.145972211264604,
      0.190690106722722,
      0.0593847409507028,
      0.458604828962732,
      0.414846986287355,
      0.338911307839066,
      0.368522755931097,
      0.418539119354717,
      0.059659337998647,
      0.395101892055751,
      0.111390963240214,
      0.425458465434185,
      0.0767696398605044,
      0.244603427081092,
      0.270227807386521,
      0.149722057090227,
      0.0968896873381901,
      0.281660761130316,
      0.220450203584177,
      0.128692843246547,
      0.216845467074796,
      0.119462584616527,
      0.496978246391633,
      0.211926500308654,
      0.405816022965666,
      0.195188104784986,
      0.385117490461115,
      0.27538304649639,
      0.33323903314542,
      0.133567791835555,
      0.355416944634917,
      0.0551376338896397,
      0.0538682284520865,
      0.365116480190753,
      0.244420506306279,
      0.186124341440744,
      0.217411639587523,
      0.197832586727073,
      0.0806607454150158,
      0.272814462252055,
      0.290796177721911,
      0.498246225782064,
      0.166122468855432,
      0.358029323771639,
      0.345815110049578,
      0.272944752102975,
      0.127020062880242,
      0.160074338403697,
      0.203255589697063,
      0.226464095542343,
      0.168054777894196,
      0.0970508200091436,
      0.409750914961999,
      0.196568262206237,
      0.275508145840821,
      0.31436583144159,
      0.343398585283603,
      0.0982683321359954,
      0.176828575949414,
      0.110593671857159,
      0.457886859757107,
      0.144503121233047,
      0.299901008408085,
      0.215749129011994,
      0.114777643564593,
      0.249140514409202,
      0.24596162257736,
      0.224126448971845,
      0.274484438614065,
      0.229905574116026,
      0.249129404352278,
      0.500248178933643,
      0.219744840140387,
      0.353159601027413,
      0.261205042283912,
      0.257465966136454,
      0.217064704718494,
      0.265935124611331,
      0.236184241514609,
      0.409761224655504,
      0.184758163447162,
      0.270550907681479,
      0.254760573689783,
      0,
      0.0761339831296539,
      0.317618964284613,
      0.243340524488403,
      0.181139568562887,
      0.445598348408716,
      0.147249255770625,
      0.471854134746586,
      0,
      0.393002299314693,
      0.384486411191064,
      0.412858328672215,
      0.151793223915632,
      0.357302427817696,
      0.102262789574692,
      0.407823148374273,
      0.294316499850768,
      0.264618331364471,
      0.3506622818616,
      0.398246557825156,
      0.30979868408675,
      0.240143585224613,
      0.369145814259889,
      0.215381165746612,
      0.257600097365151,
      0,
      0.49122899035984,
      0.149654417271758,
      0.415198164832611,
      0.127095066052117,
      0.356486967954399,
      0.00633408482990657,
      0.328612339373789,
      0.239294701628308,
      0.0925849256951342,
      0.155962822213011,
      0.337677934335107,
      0.413549581678017,
      0.203164202144863,
      0.310003887661087,
      0.390057350048258,
      0.269285129366516,
      0.268763637510928,
      0.350475111556265,
      0.246584256199213,
      0.47226461794369,
      0.192346050692011,
      0.381582634852516,
      0.273029255831118,
      0.262901469086681,
      0.191480012205841,
      0.0638185671124047,
      0.0512332105211835,
      0.272353265277828,
      0.271354737699734,
      0.0939672463799068,
      0.463265515827873,
      0.351630111657695,
      0.352050946441697,
      0.373187094725849,
      0.399500436922681,
      0.26989496523229,
      0.395028367339405,
      0.252507566191336,
      0.438124604570057,
      0.192931776290048,
      0.277746524168984,
      0.27733249989035,
      0.123291045295207,
      0.13024276825317,
      0.175563609740191,
      0.193469652449242,
      0.419318069889097,
      0.399951487541848,
      0.251649701966357,
      0.510381851258572,
      0.194447149013287,
      0.390297652366465,
      0.104243933617589,
      0,
      0.148522714404346,
      0.129180796526731,
      0.164682450796138,
      0.324004960406484,
      0.210760870878611,
      0.114514825912898,
      0.35286732484714,
      0.210795999310801,
      0.240395496288585,
      0.30747738239242,
      0.255191658879782,
      0.16725316421561,
      0.276360433590026,
      0.0727985572428863,
      0.486944532562618,
      0.436116020585799,
      0.409991782782837,
      0.350476204125508,
      0.387303504646404,
      0.0370772353815424,
      0.243273469020766,
      0.12368062322913,
      0.231177452916411,
      0.0712980048293537,
      0.178778637680991,
      0.431832014983965,
      0.130922693777039,
      0.268342128651422,
      0.352028607450177,
      0.352267462585969,
      0.110021323010248,
      0.351325697750876,
      0.119362521017287,
      0.478501192900479,
      0.194536819534084,
      0.376420655368245,
      0.245646000725564,
      0.231364062155608,
      0.247788000772889,
      0.239400376567086,
      0.124683930979858,
      0.276791418787673,
      0.222017473726758,
      0.0142020029684975,
      0.436902301296424,
      0.294006606720544,
      0.348653686699827,
      0.165621055647514,
      0.345889755151055,
      0.0873284980515101,
      0.395642776290335,
      0.262350447031151,
      0.425622061088368,
      0.152967018535058,
      0.241329953389012,
      0.256912192091703,
      0.256152949513906,
      0.28610791537224,
      0.294979559982647,
      0.206487519108673,
      0.229206865915735,
      0.205069632520718,
      0.198139872575101,
      0.500219869756709,
      0.273685085598391,
      0.213629641879174,
      0.236556366724821,
      0.19700869737748,
      0.248936635269885,
      0.20510205513612,
      0.197519311239065,
      0.304454107919078,
      0.159643180555482,
      0.00497802123973318,
      0.376864406072032,
      0.242978597413414,
      0.245579734481048,
      0.285525923797207,
      0.185406166994542,
      0.268200227896665,
      0.297105813777064,
      0.255620675513628,
      0.496434440497264,
      0.186110997207562,
      0.28685151291323,
      0.268641560026627,
      0.250864965279663,
      0.23506235358312,
      0.213966022371793,
      0.211881128496759,
      0.234108965744646,
      0.146815430249326,
      0.268672474811355,
      0.432499825299475,
      0,
      0,
      0.340242849973289,
      0.301523840708255,
      0.0268969375007214,
      0.336998953422869,
      0.140654547949675,
      0.463094102942264,
      0.177890908816593,
      0.366563274929713,
      0.252407852515501,
      0.249027860445909,
      0.221147692972918,
      0.170077450139434,
      0.158302148059076,
      0.106573641968818,
      0.098931830827637,
      0.155819605618348,
      0.484258625035256,
      0.103821914214864,
      0.345849600358188,
      0.371050261900438,
      0.408334590925478,
      0.145643695898418,
      0.389557785323171,
      0.298604873730716,
      0.427425635017157,
      0.191912169223495,
      0.247185615062584,
      0.293796390947408,
      0.147493403720156,
      0.113888052874132,
      0.119797614663022,
      0.227324981227923,
      0.171337036124865,
      0.160605268451999,
      0.129563178526456,
      0.496507803100331,
      0.134814400284819,
      0.402468598791662,
      0.302479632189012,
      0.386957556984695,
      0.190423128778866,
      0.382571406961289,
      0.177538019212468,
      0.323464703880345,
      0.23839823940561,
      0.16717121512281,
      0.300036622164849,
      0.164530855481278,
      0.164597837051405,
      0.170884923167381,
      0.0990649560875411,
      0.169894300331812,
      0.158997830515382,
      0.138030527973585,
      0.505872264467237,
      0.160116667184384,
      0.161468769530655,
      0.211711247640528,
      0.158637872943481,
      0.141072157461177,
      0.16622641991321,
      0.0901431087343528,
      0.125114240634794,
      0.136984282410778,
      0,
      0.27274927502531,
      0.188157554334965,
      0.117549519053674,
      0.1754929797773,
      0.0506016680609056,
      0.272805866842033,
      0.20262780539482,
      0.195664984640934,
      0.268367280004663,
      0.24643622202415,
      0.194613239749674,
      0.30283272254557,
      0.107150749426766,
      0.224214769258404,
      0.156578917737715,
      0.175347978780184,
      0.101316990440254,
      0.0861995845513763,
      0.0241538434089723,
      0.320026802684094,
      0.208685748157957,
      0.182882038637259,
      0.254361880768476,
      0.166291698544531,
      0.202108908636675,
      0.211582715051945,
      0.128865161074537,
      0.21927500761934,
      0.251268577863976,
      0.290814385077115,
      0.243879570470572,
      0.219838619846968,
      0.293760077312235,
      0.0177266276019202,
      0.159367672342475,
      0.302751703226004,
      0.146370438411724,
      0.0640452803847305,
      0.221711724966523,
      0.146269193398316,
      0.122224227122163,
      0.103955444869831,
      0.146040711952059,
      0.160184499663406,
      0.121112419361984,
      0.0909327523113355,
      0.127872392109424,
      0.113937724505853,
      0.0867519494934498,
      0.153186311154762,
      0.19915045383317,
      0.414490667503101,
      0.192301148434249,
      0.116155038513971,
      0.283888701635772,
      0.194021991925158,
      0.153945031185457,
      0.172543474556581,
      0.156259853792485,
      0.0643212240110244,
      0.172125040197843,
      0.125038877108797,
      0.481200909253141,
      0.183449116459334,
      0.159657850637666,
      0.148949927197378,
      0.0500599318839981,
      0.253203206654847,
      0.192937002882502,
      0.287334059111264,
      0.351529673690907,
      0.286106310095057,
      0.284749704360076,
      0.342781005947074,
      0.218976060764268,
      0.237525185782528,
      0.278792880709998,
      0.214323177680796,
      0.245618266294002,
      0.215786059279657,
      0.229819581480613,
      0.502073717490144,
      0.226482858210451,
      0.189803607536075,
      0.146544579885446,
      0,
      0.00193546034640384,
      0.312284931069025,
      0.276871765183076,
      0.311883223981001,
      0.209200319865171,
      0.294062605790082,
      0.488603373769861,
      0.0308811962476527,
      0.32201772514366,
      0.346096209135586,
      0.366210433524928,
      0.425840843246829,
      0.35575735442549,
      0.183682593063278,
      0.473346739607947,
      0.237758661207974,
      0.397670304482849,
      0.222335419563426,
      0.342117417298999,
      0.225282909292881,
      0.19755603185814,
      0.163896009505722,
      0.204718655295109,
      0,
      0,
      0.506701451336972,
      0.194714541968421,
      0.355095243206812,
      0.433187683961971,
      0.358057742882181,
      0.355910679153819,
      0.382601166411192,
      0.191288254678241,
      0.464646292661683,
      0.0814740876063202,
      0.307255222381715,
      0.277004932185135,
      0.322359623718764,
      0.296380140730657,
      0,
      0.170273406997167,
      0.210313198101879,
      0.244299369822428,
      0.272347906169746,
      0.495885408777298,
      0.285841578804372,
      0.420541482383689,
      0.343060825352561,
      0.481159245881741,
      0.0553140130656329,
      0.361785218508659,
      0.281935701477594,
      0.334471365235369,
      0.220844124633244,
      0.222722608550896,
      0.414188942638175,
      0.257665744668281,
      0.321962054638499,
      0.261405459392304,
      0.276203129979757,
      0.281249176305061,
      0.258422166863607,
      0.325001047321171,
      0.502996478400395,
      0.121011966801788,
      0.421512555663658,
      0.174021391328523,
      0.172953946102305,
      0.171601247269302,
      0.150172572500228,
      0.177392691061854,
      0.190746618047968,
      0.32326107388347,
      0.146344020607772,
      0.427406888849597,
      0.212238926418753,
      0.314129799714129,
      0.13070224631543,
      0,
      0.156191529799458,
      0.163200960611868,
      0.211922548909004,
      0.480121443524244,
      0.287088702696289,
      0.141774208575209,
      0.267485507559698,
      0.213087869686291,
      0.229315777670502,
      0.318122920135383,
      0.230163557501709,
      0.202760130309529,
      0.210237598311171,
      0.072769709825268,
      0.399915843315312,
      0.388748932426751,
      0.326741521936304,
      0.361093558529933,
      0.387029982835848,
      0.0674344692258326,
      0.405432833144515,
      0.10524947459023,
      0.42521834121412,
      0.0647300450304091,
      0.260430954693409,
      0.278071966685747,
      0.101060641752892,
      0.115884840145098,
      0.287627247725783,
      0.244059696602265,
      0.114118598132384,
      0.279524529753622,
      0.15074611384229,
      0.497867178376045,
      0.243682827696846,
      0.40820384549184,
      0.189462911443327,
      0.386992020519136,
      0.259476162751738,
      0.384115123144637,
      0.184028547584844,
      0.380142911904645,
      0.107734824520576,
      0.0443919436554416,
      0.356831490885344,
      0.180401902320073,
      0.149549858866854,
      0.235291252779887,
      0.174804530069952,
      0.066517180469043,
      0.243382363636358,
      0.205819452821602,
      0.502864496130754,
      0.183536161122544,
      0.319728264565871,
      0.313087315879119,
      0.242230159901391,
      0.136747796661768,
      0.158563922216172,
      0.19470470325498,
      0.190859712380273,
      0.189206500395598,
      0.118139607160155,
      0.398038465901295,
      0.21553621189953,
      0.283008243131514,
      0.321930812903535,
      0.343062441125847,
      0.162687146042744,
      0.157817869391866,
      0.13973701518828,
      0.472813017725824,
      0.156784025511334,
      0.273531841817447,
      0.233383665893897,
      0.142847132870136,
      0.24537431566616,
      0.205775865714116,
      0.214877043465577,
      0.261072892130143,
      0.209137174134154,
      0.263774181170581,
      0.494440942808058,
      0.214535345568222,
      0.342036095476508,
      0.261834865973836,
      0.275262304758183,
      0.238878543935718,
      0.273441815884111,
      0.232530479326057,
      0.435602741150273,
      0.236252190960594,
      0.241603534596845,
      0.276615084043594,
      0,
      0.134337687437129,
      0.31644925031623,
      0.283541220772995,
      0.170342782302628,
      0.38255194235176,
      0.0977149456518492,
      0.46763140930084,
      0,
      0.382667018217621,
      0.352055601168145,
      0.39580244343153,
      0.14030243855982,
      0.359521993390193,
      0.104484335245701,
      0.400333123266151,
      0.304758129930874,
      0.277256680911965,
      0.355746660859664,
      0.319670486721295,
      0.278304014974494,
      0.235454524886443,
      0.371550053207666,
      0.26696401684451,
      0.233321305044083,
      0,
      0.4965948075343,
      0.1152198556732,
      0.428633965506353,
      0.148222407691703,
      0.360618435108874,
      0,
      0.337291551363246,
      0.270288721242403,
      0.115900141958739,
      0.115456007231216,
      0.255333738946563,
      0.397782497643128,
      0.234142326137084,
      0.30352137292111,
      0.388374189685801,
      0.248282504577862,
      0.25945305183867,
      0.351729902895237,
      0.23096232926071,
      0.484749366525715,
      0.152798770437526,
      0.381069731192448,
      0.251820337623899,
      0.24846382123043,
      0.2159126710142,
      0.0460364128007942,
      0,
      0.311363811084587,
      0.24097635058624,
      0.0698337500252431,
      0.471963387255036,
      0.383587626139531,
      0.349521485387415,
      0.357983352377236,
      0.405242210950957,
      0.243072563512491,
      0.391472981271055,
      0.267516047820328,
      0.445019907285812,
      0.141322764678066,
      0.268620468364333,
      0.271107353317231,
      0.139365481518957,
      0.106259899470141,
      0.152838602615431,
      0.183050912981573,
      0.418036694506861,
      0.408516898037377,
      0.162062658472605,
      0.51159659429304,
      0.181838050717143,
      0.372501731006519,
      0.0846123086281709,
      0,
      0.170656421123767,
      0.147864542145576,
      0.224735106057434,
      0.356011793757715,
      0.245350210886686,
      0.166442221888293,
      0.342388131328022,
      0.183278123922061,
      0.287448291337443,
      0.333728076083095,
      0.214356975786902,
      0.180111943660549,
      0.249022820328133,
      0.0942157014082605,
      0.497300920195235,
      0.411382685316807,
      0.404920195445401,
      0.326737819763114,
      0.371420862294426,
      0.0743905613108276,
      0.280899498643875,
      0.148997588083286,
      0.244041553341342,
      0.0842677878423173,
      0.162877175759702,
      0.4115888332724,
      0.116716005259944,
      0.283924208569274,
      0.364186437882615,
      0.344341916812236,
      0.0899093677326596,
      0.352051855113075,
      0.146019810732342,
      0.482121211644837,
      0.216893234524814,
      0.386555570663615,
      0.244801218464428,
      0.244720714297213,
      0.264942530631447,
      0.248795098145638,
      0.181798452761331,
      0.257967818482497,
      0.256425528763119,
      0.0783435668348735,
      0.437402862831829,
      0.231227701081741,
      0.351016875458744,
      0.161070318410963,
      0.34524680578249,
      0.0772117901199043,
      0.386252524783503,
      0.222302960128535,
      0.433868324527288,
      0.15543167534653,
      0.247230473990041,
      0.276762252511278,
      0.223243130027302,
      0.282914812880729,
      0.227725362118173,
      0.200934965453351,
      0.231620180237497,
      0.250309324814157,
      0.255604063844839,
      0.502459364012509,
      0.316882223262245,
      0.267399788042385,
      0.249314631594415,
      0.24161769859476,
      0.287810411928764,
      0.226289343586043,
      0.177815704475487,
      0.331681281103655,
      0.21867339410082,
      0.0280433278506025,
      0.369374842626358,
      0.275913014189783,
      0.257954838085513,
      0.200495235358656,
      0.197913094853504,
      0.25113126576456,
      0.232892429142566,
      0.282505494170782,
      0.503796025422729,
      0.215405435372664,
      0.259124418692604,
      0.262646478839903,
      0.290959723765598,
      0.250373172040803,
      0.272233496140412,
      0.240200095795036,
      0.228626330926389,
      0.196797246670894,
      0.242655943189676,
      0.404190997088671,
      0,
      0.074157038734858,
      0.347127902351555,
      0.290208274451247,
      0.0432964099445867,
      0.324210782258085,
      0.0797625137609285,
      0.46685689132422,
      0.243883162105509,
      0.365202380740903,
      0.25870645988397,
      0.256225776858009,
      0.194444625507597,
      0.246668706302846,
      0.185704831008763,
      0.139681002827821,
      0.096609462050337,
      0.181629883556761,
      0.461648827396299,
      0.12011062865467,
      0.35686598964278,
      0.348718643285885,
      0.375214984105656,
      0.150066414195589,
      0.389118523317113,
      0.272533101741827,
      0.445267482815316,
      0.17756490006992,
      0.260401310113179,
      0.285039700698452,
      0.147910622712919,
      0.104983321085746,
      0.113699638871775,
      0.259419985408614,
      0.183175712543603,
      0.186778239322231,
      0.143077947562273,
      0.498129797190115,
      0.156572348899731,
      0.37838460708959,
      0.249922064383394,
      0.392987802404315,
      0.157336363888102,
      0.393508782054777,
      0.175112366130274,
      0.343637554872429,
      0.208513328091866,
      0.224192555884913,
      0.313783766636353,
      0.199321864449761,
      0.157597082028727,
      0.146237981403447,
      0.144446827678218,
      0.212084095982149,
      0.18858314775523,
      0.146551364768137,
      0.519200020213727,
      0.11404836689745,
      0.1794634459347,
      0.222327763331123,
      0.159580046614054,
      0.133964650320622,
      0.150424258526997,
      0.0793220373017604,
      0.158973299100522,
      0.195821030741473,
      0,
      0.300084207965561,
      0.218111994056528,
      0.187324174987634,
      0.208313972639432,
      0.063068611565525,
      0.256899947560583,
      0.23159223150789,
      0.149218473728149,
      0.238232465387608,
      0.197238680044633,
      0.200631721665644,
      0.289851714089209,
      0.116078956431357,
      0.189118197228632,
      0.154701783001195,
      0.201527524139165,
      0.126618734903463,
      0.0591253442469668,
      0.039857050683431,
      0.274925635935821,
      0.184958685508116,
      0.183095544187413,
      0.28005095570231,
      0.206615380554696,
      0.237174102589532,
      0.199803744764561,
      0.139566149720919,
      0.220747990496791,
      0.20756676467476,
      0.199055968232342,
      0.241001312139211,
      0.171554194782218,
      0.266857689139749,
      0.00186682485669658,
      0.12048038857477,
      0.294847042303353,
      0.131488863454388,
      0.0243333080163825,
      0.243100328568528,
      0.0895571465980353,
      0.136121630462606,
      0.107036269860755,
      0.18383664052244,
      0.134176148317816,
      0.133016749301633,
      0.101877424730813,
      0.15910269529309,
      0.104600605020727,
      0.0841222477077181,
      0.153099026654664,
      0.233524146857019,
      0.379179091856873,
      0.173515834486919,
      0.0907582084274557,
      0.296864200103248,
      0.214886954495386,
      0.177010732409096,
      0.181380749446584,
      0.161523825894321,
      0.0592378917666791,
      0.1527110287064,
      0.135610395274379,
      0.502026758654652,
      0.18231626600337,
      0.150000495788833,
      0.174575201540388,
      0.07158123770867,
      0.282534606295459,
      0.202543988562709,
      0.235586781482414,
      0.329999396245694,
      0.281489445078413,
      0.250697498866968,
      0.372915742386772,
      0.311767223785159,
      0.287030167554867,
      0.308560520442592,
      0.239503546503628,
      0.323287413012411,
      0.222173911631095,
      0.241263004037988,
      0.48715982023595,
      0.244394663612571,
      0.195560112884513,
      0.180292230756262,
      0,
      0.0476968268372116,
      0.322534301957078,
      0.307556273913347,
      0.27769595370997,
      0.248070182639534,
      0.325457681520047,
      0.503258167752366,
      0.0641221044227451,
      0.331472408768451,
      0.368700763289276,
      0.401602901576069,
      0.448641329878284,
      0.347206966892435,
      0.21308997548694,
      0.474567165469282,
      0.229963955773081,
      0.368711851268033,
      0.230798173069952,
      0.353611703826351,
      0.260177108691365,
      0.250817057791872,
      0.132302836078301,
      0.22684079332421,
      0,
      0,
      0.499936375357897,
      0.212626812867404,
      0.409146537341154,
      0.465124602305981,
      0.350544541996751,
      0.146350502263535,
      0.369199731653043,
      0.246410994988107,
      0.426543162278916,
      0.0569371508819872,
      0.362847884707392,
      0.290989187933001,
      0.337191072664071,
      0.391575265067994,
      0,
      0.180102404776117,
      0.260969112125156,
      0.281161451582875,
      0.308376258660769,
      0.512351869172515,
      0.237798959725502,
      0.391524582845293,
      0.379182555003356,
      0.469064413836717,
      0.0140352299735019,
      0.364916255360155,
      0.271158754548223,
      0.318516140739236,
      0.211820835708996,
      0.219501152134222,
      0.405884674084946,
      0.385950365025278,
      0.353022586040779,
      0.26272272856428,
      0.312143077263983,
      0.339672635457938,
      0.279973584252436,
      0.227648706339787,
      0.482570531319245,
      0.191423551431373,
      0.412500228024334,
      0.174597189664483,
      0.134617786083981,
      0.177151520992728,
      0.175895949846803,
      0.186691777521907,
      0.211893551936564,
      0.288701436741535,
      0.148698219376218,
      0.460800079337522,
      0.203000623338899,
      0.345519659723981,
      0.180783635323347,
      0,
      0.184858070659041,
      0.176921156525645,
      0.251789947411849,
      0.456034321211801,
      0.311531297106299,
      0.195512652983906,
      0.264155117119692,
      0.125211075058096,
      0.174323663760226,
      0.333981165686716,
      0.245726709953395,
      0.261085872351251,
      0.259638374613592,
      0.0715271206327786,
      0.480274804521243,
      0.367724323075613,
      0.385519843040112,
      0.406624693106525,
      0.427980191417673,
      0.0384490559516553,
      0.404388199548686,
      0.152907138549913,
      0.435183486767149,
      0.109746095827187,
      0.266424766524281,
      0.284191437294202,
      0.111296152747262,
      0.0926226190930463,
      0.260000877533921,
      0.216543690810046,
      0.102958937339861,
      0.298459428418209,
      0.196433194516286,
      0.49587906338334,
      0.250281868799989,
      0.426991614838752,
      0.224341940024271,
      0.386886391297757,
      0.185678331479802,
      0.358979955830735,
      0.159632989788374,
      0.363894786445442,
      0.0469212997747789,
      0.0448449610077557,
      0.371350600429054,
      0.176087597692613,
      0.165787108236906,
      0.237256194990638,
      0.140129430715456,
      0.0620637699371694,
      0.2660457851417,
      0.153446948498261,
      0.494148558757738,
      0.160768203680882,
      0.334132622268556,
      0.318334490612646,
      0.234921494833784,
      0.155171400475141,
      0.150849280290495,
      0.216391175385408,
      0.187544130841907,
      0.178889512029242,
      0.0895854021933798,
      0.446921596528,
      0.211407193340153,
      0.322421772306997,
      0.364717724549438,
      0.393445567926659,
      0.131567648766151,
      0.155849932015325,
      0.134776198902873,
      0.444868478500733,
      0.174312890002381,
      0.263268634350539,
      0.261935895768098,
      0.188490706725389,
      0.218039226100936,
      0.205606547102251,
      0.261134233442434,
      0.259588226845607,
      0.267111724001303,
      0.248424491375116,
      0.504296562671302,
      0.282800918256008,
      0.399331941337653,
      0.269196721487389,
      0.300014570304735,
      0.322666869859166,
      0.296511362990153,
      0.275958722968371,
      0.404379422853565,
      0.266023766000857,
      0.190029182935569,
      0.291038766639557,
      0,
      0.164663122052791,
      0.354758819428989,
      0.310794487515875,
      0.148779677588503,
      0.384251403566689,
      0.0845840223440879,
      0.491025041961264,
      0,
      0.402275187327063,
      0.378938186597677,
      0.413645093843239,
      0.188091471007666,
      0.363964011382865,
      0.133983435074464,
      0.3700607489775,
      0.368482231103114,
      0.343771180721476,
      0.38474283304832,
      0.298716013260143,
      0.227362318480313,
      0.258142559684188,
      0.343454722311844,
      0.320330483972066,
      0.252398100376955,
      0,
      0.485178528451015,
      0.128329726340669,
      0.417160930069859,
      0.13598908267837,
      0.363113431763327,
      0,
      0.296432797022781,
      0.319135743585919,
      0.129672832905645,
      0.150490213597767,
      0.204068508614309,
      0.449972145608103,
      0.31609624652786,
      0.324110044935282,
      0.377626069052216,
      0.281096694596222,
      0.207918928260046,
      0.344503389469384,
      0.299166926664963,
      0.471107531904654,
      0.173490556704052,
      0.369429332995853,
      0.224586277622713,
      0.265348209341765,
      0.233819609597689,
      0.0839981744686627,
      0,
      0.30429780655345,
      0.267031999275591,
      0.0853443305431557,
      0.493848810854291,
      0.36622061306694,
      0.403356649759158,
      0.394324590801242,
      0.423303635198706,
      0.219039574721059,
      0.411607882683547,
      0.263936968973609,
      0.43642779238246,
      0.133091732054968,
      0.259653845913675,
      0.281596162790314,
      0.151394433812032,
      0.0899599946068955,
      0.184267934614363,
      0.234883335931606,
      0.411185114252182,
      0.406398058829409,
      0.162069787811793,
      0.508877224148491,
      0.20226547789858,
      0.383602039816625,
      0.130309197326728,
      0,
      0.209142208215366,
      0.184162920708129,
      0.201254763225123,
      0.335822359155051,
      0.286761059822175,
      0.236686246270311,
      0.361485829402195,
      0.216501887113903,
      0.283504365387126,
      0.35447750942098,
      0.229206421866047,
      0.223487408862556,
      0.298215795285147,
      0.066246108007364,
      0.478436351794166,
      0.376743623694319,
      0.400617076558968,
      0.325807484197552,
      0.37950685492597,
      0.0771436808375674,
      0.2900297064217,
      0.189275122789196,
      0.238286446233834,
      0.0800674473338272,
      0.145061125346891,
      0.460711389492488,
      0.154448084664751,
      0.310399643413792,
      0.375015671674018,
      0.386045883841528,
      0.0852374201346887,
      0.367248715196627,
      0.161496764180572,
      0.462039715037012,
      0.230577378950127,
      0.380884988082858,
      0.251946625505364,
      0.253865307363785,
      0.204150246034423,
      0.249141474827684,
      0.168076308870505,
      0.26004791511916,
      0.176072468468404,
      0.0718082890357175,
      0.500063589808291,
      0.201281899300493,
      0.397434023194175,
      0.146466994897318,
      0.331058854884847,
      0.090684045337793,
      0.397946041825307,
      0.227907268116835,
      0.43584110020755,
      0.197759725972028,
      0.246464204119452,
      0.306363450048694,
      0.23052233311237,
      0.260020121160752,
      0.235755919235372,
      0.227703562666237,
      0.279746265362726,
      0.341521475117331,
      0.309336080138891,
      0.501053823386667,
      0.351423221221106,
      0.338683644467224,
      0.299630559374869,
      0.271758058767026,
      0.344650801238081,
      0.270127577552225,
      0.2078958257318,
      0.306156332538573,
      0.290214780734992,
      0.0408849251892712,
      0.395717550264795,
      0.292602040780155,
      0.247780766601791,
      0.253449272280769,
      0.242976157782335,
      0.256483261281768,
      0.260958732740167,
      0.28679723212077,
      0.4952773207011,
      0.258030201184908,
      0.314212820450718,
      0.301814998137317,
      0.337221534761521,
      0.307826748128561,
      0.312875433094671,
      0.279007962721502,
      0.266484819423715,
      0.248538840730296,
      0.185104460425029,
      0.444056654200316,
      0,
      0.148103508331134,
      0.370754044889552,
      0.311163185251467,
      0.0489771855523929,
      0.328262886118955,
      0.0682501918968153,
      0.454164665064504,
      0.268661914952866,
      0.370260223934821,
      0.243117271531546,
      0.275065136231738,
      0.234353734436767,
      0.236942438981538,
      0.208284034616285,
      0.140161638434825,
      0.104658997903972,
      0.171553979664434,
      0.501060481689487,
      0.131129758927701,
      0.396068000989931,
      0.394652400392113,
      0.394309333341761,
      0.0808871916628186,
      0.388850753811143,
      0.27242001305361,
      0.426205104511909,
      0.117435145222884,
      0.260147715143114,
      0.282150210067818,
      0.174894701375635,
      0.11270828160377,
      0.154259441452741,
      0.213258216626426,
      0.185186760564217,
      0.193995512999776,
      0.227499179445961,
      0.509357397524918,
      0.168096585016601,
      0.419245697152779,
      0.275115573396721,
      0.384859030157983,
      0.147499316682353,
      0.400510628185401,
      0.185777806443883,
      0.340090899644829,
      0.170302865179703,
      0.222448706732338,
      0.35174739277075,
      0.182874428401919,
      0.192409027684934,
      0.142042764607136,
      0.150325697044494,
      0.213520989129283,
      0.195139936186085,
      0.126740081046704,
      0.495448485212939,
      0.148270638707947,
      0.175376900917695,
      0.196875066204816,
      0.142405392330944,
      0.171058652858805,
      0.117747347239025,
      0.0803239880863866,
      0.155272949813302,
      0.200391963114058,
      0,
      0.322455595582032,
      0.186548161886775,
      0.242173394844814,
      0.257830673790849,
      0.0540779547956437,
      0.277249653076412,
      0.233736683589564,
      0.132451736129169,
      0.215502555817105,
      0.188500009910143,
      0.213271278618669,
      0.258564568314202,
      0.154684119834171,
      0.1765219909648,
      0.142005020119396,
      0.165255528676069,
      0.0920468786916846,
      0.0982799870809205,
      0.037651040953334,
      0.264682719777116,
      0.163971737310111,
      0.199857009235518,
      0.26754296697152,
      0.218381921194618,
      0.291906586558436,
      0.208428525157471,
      0.200096605196497,
      0.234835485030415,
      0.240996164398529,
      0.203491736682258,
      0.236235972564539,
      0.214208101954218,
      0.282734985484878,
      0,
      0.118562504891453,
      0.284838082070034,
      0.129852738869395,
      0,
      0.266670654137805,
      0.122824016302806,
      0.163709280646962,
      0.103952795127674,
      0.153523800470894,
      0.186494886035062,
      0.164957972809961,
      0.123631533520323,
      0.169754075429539,
      0.118081225555918,
      0.132302509599303,
      0.169829249676564,
      0.195259826002438,
      0.361633549389236,
      0.172100863469943,
      0.132051543676877,
      0.287558325390129,
      0.227697683318824,
      0.202841844950106,
      0.196376817037692,
      0.179092047827594,
      0.0978263436478579,
      0.161280129419822,
      0.117286210491922,
      0.520446402469665,
      0.202060563448461,
      0.178833604370785,
      0.152896935966107,
      0.101480685354741,
      0.330274182486794,
      0.230727991346289,
      0.252299326654263,
      0.337162793153096,
      0.350689530168552,
      0.296891957443906,
      0.39034260690076,
      0.300227939044301,
      0.318629135098327,
      0.378303398534641,
      0.264198316810068,
      0.361469683946157,
      0.233168689124043,
      0.287988561806458,
      0.489433371455427,
      0.267458651997008,
      0.238521411497582,
      0.210307681837097,
      0,
      0.170027307366412,
      0.350253063638956,
      0.336190334380253,
      0.144970994027703,
      0.29500057155327,
      0.347500417439132,
      0.500806268977404,
      0.0352306016281656,
      0.298590680574689,
      0.310189976165793,
      0.360549826043668,
      0.470881262604682,
      0.362649070016521,
      0.239368347691566,
      0.4731563980307,
      0.289872533320357,
      0.365799443194799,
      0.235227991497669,
      0.343310969885603,
      0.254249949969264,
      0.263546600902553,
      0.152021484935799,
      0.309551337364736,
      0,
      0,
      0.503793888700768,
      0.205893977451412,
      0.353759503532011,
      0.480519085302656,
      0.359915983037011,
      0.200144777472349,
      0.376314941909569,
      0.215836162086862,
      0.433914148105823,
      0.0856528244971257,
      0.376782020908572,
      0.326190323075518,
      0.345472684258025,
      0.393148557653897,
      0.0181730984219009,
      0.256986865375931,
      0.189395556351365,
      0.284073595266413,
      0.34197404356296,
      0.525138574226117,
      0.21395958178808,
      0.379580876915787,
      0.325990998449306,
      0.519828685054916,
      0.0248551843385043,
      0.369614407088759,
      0.277575195768648,
      0.292715564710272,
      0.211617225376826,
      0.146876675732887,
      0.41707033392072,
      0.335656694707323,
      0.215876901424595,
      0.24725656677049,
      0.270643429458911,
      0.429215618825298,
      0.258177192467191,
      0.209232384253001,
      0.50143633402437,
      0.263873479888113,
      0.409762365281839,
      0.151160102094303,
      0.115495500494572,
      0.193062080330277,
      0.225628024127796,
      0.258937125738219,
      0.20343808354016,
      0.272757663718799,
      0.141798209037577,
      0.47084365600782,
      0.223888294647645,
      0.315217163791781,
      0.211916724023152,
      0.0337008057008033,
      0.211086769925554,
      0.20633403761647,
      0.242015818105681,
      0.44866766951868,
      0.298917353138937,
      0.234527763394668,
      0.243933409372382,
      0.105947290130026,
      0.20279838627271,
      0.324702676948616,
      0.252843644604019,
      0.239156404003962,
      0.281075061034729,
      0.0610233591051377,
      0.455346916251095,
      0.381179902354227,
      0.326721461884048,
      0.34601851991716,
      0.395450646002311,
      0.0732398881756757,
      0.396800217703146,
      0.193930449936706,
      0.416627064211274,
      0.102119897360186,
      0.250741598421901,
      0.255787723336622,
      0.15806299375427,
      0.0864219451523245,
      0.265812918982309,
      0.182464360792486,
      0.154547076576516,
      0.251414759781672,
      0.190638323186996,
      0.511383576064114,
      0.218404844214935,
      0.38472187721673,
      0.263302855938182,
      0.399716196595962,
      0.188245559555597,
      0.363034264482118,
      0.213860809570473,
      0.364975542694151,
      0.0265352037988866,
      0.0708856961440509,
      0.384646728986797,
      0.132114281132656,
      0.131806764792473,
      0.270392388430531,
      0.14912424729926,
      0.0703636493416363,
      0.276299742934381,
      0.146064097915601,
      0.485907005955276,
      0.211755353355953,
      0.296023663537686,
      0.292925764466685,
      0.225017931308255,
      0.189609789868259,
      0.146917281597662,
      0.219837257900655,
      0.140870857773342,
      0.205926985448726,
      0.108749334116499,
      0.450711181459844,
      0.231460461862172,
      0.281853802019081,
      0.284588714827578,
      0.327247863295426,
      0.130406365886531,
      0.178852144479309,
      0.100981967334665,
      0.454785026166825,
      0.188532925616039,
      0.231777241766465,
      0.24734763444398,
      0.19295540413515,
      0.295103664074973,
      0.247901127302443,
      0.273497233120625,
      0.260307295776517,
      0.312735150131426,
      0.302769074508296,
      0.513316473280919,
      0.301428929334459,
      0.377429552830867,
      0.350085804635848,
      0.349780295668152,
      0.360646157959356,
      0.27429555103918,
      0.315045923684415,
      0.399823511416489,
      0.276533997378801,
      0.256712899662736,
      0.306633609864495,
      0,
      0.186831409449821,
      0.386805722027457,
      0.33673438187802,
      0.180697786104701,
      0.39615044121822,
      0.0700873994508624,
      0.470890223778847,
      0,
      0.386355447839101,
      0.329294052323633,
      0.397875714863089,
      0.153042179259705,
      0.375898939201775,
      0.116154743123337,
      0.321876494468985,
      0.241380142724377,
      0.298219364540645,
      0.409883677183827,
      0.313170216040719,
      0.216515189225712,
      0.229832681541281,
      0.321625401673016,
      0.318033141295268,
      0.260249151026477,
      0,
      0.517034485397618,
      0.11866492482658,
      0.407859134091329,
      0.137366274368618,
      0.362303646722776,
      0,
      0.248550789206902,
      0.263900195461547,
      0.197399135685554,
      0.181003506765486,
      0.153176240492313,
      0.461219926703682,
      0.327374574545121,
      0.299321948742873,
      0.380146800071074,
      0.284549136545366,
      0.275170892962714,
      0.354365625276856,
      0.394538802568076,
      0.468825817588956,
      0.184615773584412,
      0.37359077502525,
      0.258766712524306,
      0.270257888060991,
      0.287531477042758,
      0.0824290043993306,
      0,
      0.212938300035708,
      0.263913171187148,
      0.0623993662844045,
      0.470291251609477,
      0.304495285321432,
      0.345256034954243,
      0.342302122395464,
      0.380838076780508,
      0.273244039658949,
      0.414351952596811,
      0.292955007338098,
      0.4268515252773,
      0.124650420132495,
      0.271258507031666,
      0.249506840010008,
      0.146687874323246,
      0.0938448952407265,
      0.219077016055366,
      0.2805627506092,
      0.382800670069185,
      0.412647265438745,
      0.181128795205907,
      0.520020073410097,
      0.228837054112978,
      0.340105980844966,
      0.19501511121301,
      0,
      0.217475491279141,
      0.221684447828539,
      0.251275999544047,
      0.331505540483716,
      0.289902446102753,
      0.284036485782938,
      0.368732607123628,
      0.159499263854369,
      0.241883947294877,
      0.339374184383752,
      0.23485571208148,
      0.247949620936833,
      0.315804211226498,
      0.0834486725752741,
      0.47232557928979,
      0.385127284024971,
      0.412917433267452,
      0.303050403283008,
      0.390100723546528,
      0.118417077426366,
      0.267973875528088,
      0.24440289506664,
      0.229482684074624,
      0.0866018879240533,
      0.149000284098797,
      0.446817669218228,
      0.186717401773571,
      0.258415943003443,
      0.336678101122434,
      0.334710546221817,
      0.100636579774665,
      0.377397681061679,
      0.173198412771659,
      0.468701941236516,
      0.24176336315084,
      0.37026861873274,
      0.26879415618791,
      0.257280240682546,
      0.168834501797353,
      0.251578477447648,
      0.207446678582009,
      0.283026652200624,
      0.149457399058948,
      0.116522944177446,
      0.512895517841366,
      0.197801257991829,
      0.337890265889869,
      0.156338632021328,
      0.372574993484948,
      0.0465406914422849,
      0.39788908903323,
      0.207056645658771,
      0.426177750515575,
      0.215857644455502,
      0.328539143423666,
      0.318930686553313,
      0.28825500957389,
      0.292785109791429,
      0.30139611644506,
      0.238505033123978,
      0.323911099968392,
      0.304350847178082,
      0.334010199751514,
      0.490641070105909,
      0.368288538789502,
      0.374478785396719,
      0.327208297103061,
      0.271747353195496,
      0.31409750638644,
      0.251826129795878,
      0.253531536547407,
      0.299701356510064,
      0.328357006047268,
      0.0710965332178453,
      0.368268518580377,
      0.30245555014682,
      0.291804607828685,
      0.259735390223019,
      0.299341946738858,
      0.251161895128083,
      0.340560969687756,
      0.346775638515899,
      0.513280286031472,
      0.32134735426297,
      0.362990856077903,
      0.329643569120251,
      0.372245571988001,
      0.356808014067343,
      0.325716795395151,
      0.308577629607457,
      0.341407067193956,
      0.293564743580552,
      0.235022743543589,
      0.446586057998397,
      0,
      0.214461977234275,
      0.383735540863863,
      0.358550363176291,
      0.0771219129166575,
      0.348103697466461,
      0.12628885317562,
      0.447605463354948,
      0.285548585613515,
      0.379665115634811,
      0.238302061623681,
      0.264090304917894,
      0.246432725253183,
      0.204978793551362,
      0.233034342259822,
      0.100913809993791,
      0.107098134193461,
      0.163437497803491,
      0.485685835562549,
      0.120583176746268,
      0.343992578971847,
      0.328711031120147,
      0.382459757617944,
      0.0509669849204061,
      0.395088971045611,
      0.241919104475869,
      0.418672655257074,
      0.0759998778189271,
      0.260118008699699,
      0.281542816278106,
      0.209113409882636,
      0.143582662429018,
      0.186209161461888,
      0.221352335222198,
      0.113996884543508,
      0.179985853893197,
      0.217159605828606,
      0.519319543987167,
      0.15778957716847,
      0.385650666424624,
      0.257249351435917,
      0.395752510949149,
      0.153837934048296,
      0.406805143714599,
      0.213603280664901,
      0.335464047762399,
      0.122060140217005,
      0.226028436551828,
      0.366199094066378,
      0.170861770791517,
      0.18332920141711,
      0.10719394090588,
      0.15520627029743,
      0.216302224329001,
      0.172388323009405,
      0.144503004365914,
      0.489123121170343,
      0.139329759311591,
      0.205982794437475,
      0.202994539177206,
      0.190110451711631,
      0.152613690988784,
      0.112548396178743,
      0.101976535041095,
      0.16603896743374,
      0.203945501486788,
      0,
      0.27305727402908,
      0.161312076176349,
      0.173540283352743,
      0.241135575567551,
      0.0209524988125069,
      0.2427489213823,
      0.222079416518133,
      0.186013398722694,
      0.243789901013571,
      0.243244774034045,
      0.183503209328138,
      0.12678003949412,
      0.214335450463699,
      0.135201707895112,
      0.124094519982552,
      0.101502961342901,
      0.0898250913625315,
      0.166126856571774,
      0.0317083574594969,
      0.232750745259617,
      0.214084433930103,
      0.188914863111431,
      0.242074757505058,
      0.16659156308122,
      0.259402630123019,
      0.161404455375112,
      0.199658408617984,
      0.260100015667112,
      0.238841586126984,
      0.207756895634837,
      0.267901255526741,
      0.246837134089954,
      0.298509654687143,
      0,
      0.214292646512418,
      0.308726311430298,
      0.185535522121091,
      0,
      0.243408244578384,
      0.193386133488484,
      0.149589706783288,
      0.0426014719507848,
      0.166289838022,
      0.256113134166584,
      0.267194690931742,
      0.184068788706485,
      0.20284717309538,
      0.163290135252828,
      0.189064115272841,
      0.197616577308548,
      0.171990034708694,
      0.358781263525478,
      0.15342507537072,
      0.169225408171769,
      0.301613159003703,
      0.259764903935405,
      0.186773673071096,
      0.210913197844931,
      0.218323188461138,
      0.126591668416036,
      0.255208981091965,
      0.153076946208996,
      0.507614301840085,
      0.252568846681009,
      0.257465066346507,
      0.220117139740921,
      0.0946229606518475,
      0.382335894745325,
      0.29341979333515,
      0.301031185368537,
      0.331198966151176,
      0.352211250081122,
      0.310201540155558,
      0.369845716100117,
      0.34487929649455,
      0.348688679550621,
      0.383547920659526,
      0.263935127400781,
      0.375504530351411,
      0.236502850312143,
      0.311571491799312,
      0.467621914555913,
      0.269823703746319,
      0.253960377000844,
      0.210003080828707,
      0,
      0.229483618952266,
      0.374154767440539,
      0.361742547908998,
      0.162390561176326,
      0.296434267875871,
      0.36777503600786,
      0.467443028633659,
      0.0522101779992178,
      0.295843924855961,
      0.213525870082344,
      0.314746927504342,
      0.482351565484469,
      0.357666384696978,
      0.286222477111959,
      0.470780734177628,
      0.313883251920794,
      0.357992955128554,
      0.221610886768813,
      0.287999655958801,
      0.284054778559248,
      0.290252534457807,
      0.26737229627321,
      0.420766485187057,
      0.020364159482723,
      0,
      0.462389239841771,
      0.140021594322966,
      0.315302784029576,
      0.47683668735311,
      0.359002872865462,
      0.200361848819469,
      0.376557872208789,
      0.131504700060645,
      0.431859556934008,
      0.073224189820241,
      0.375593361902679,
      0.308930014350713,
      0.386022342536932,
      0.396166313068859,
      0.0483240975970359,
      0.239748445955358,
      0.182214830859742,
      0.231032383451231,
      0.366206646379347,
      0.495085196777739,
      0.282341670422337,
      0.366782004109068,
      0.324573262005448,
      0.524995275760764,
      0.0805329156273763,
      0.36176409517156,
      0.289400097266131,
      0.268097508230516,
      0.182722248895893,
      0.13472616354575,
      0.420920422381866,
      0.310844176872935,
      0.177181204060954,
      0.231385300288476,
      0.239421686915521,
      0.358869663392086,
      0.26605447868611,
      0.167140865151158,
      0.496296787904393,
      0.289288723574454,
      0.406719189360201,
      0.125019166696292,
      0.129009326737081,
      0.247544956011949,
      0.276872858860611,
      0.316004057124175,
      0.246713167078779,
      0.268041772222514,
      0.168490156282883,
      0.425071084762178,
      0.26189384639389,
      0.341798520887379,
      0.195336633839376,
      0.0736201641470995,
      0.215474511324941,
      0.277067220367644,
      0.253357696503327,
      0.429457573465739,
      0.227495918046108,
      0.259071000549702,
      0.238190073890126,
      0.106019484596781,
      0.21052104104839,
      0.282542782205383,
      0.234394310459492,
      0.194369267898714,
      0.255882703526119,
      0.0134614266101563,
      0.452816399361514,
      0.355432309779563,
      0.301791218777827,
      0.302438437891541,
      0.382672877626881,
      0.0768663442660786,
      0.396944442638149,
      0.257436501767121,
      0.417893920833826,
      0.0336179241345792,
      0.238812364481013,
      0.262690798124029,
      0.220721578040345,
      0.0637323131346384,
      0.237538161985675,
      0.203747964751812,
      0.13131329659381,
      0.218776555343769,
      0.153548786868566,
      0.520378351616358,
      0.196186183321501,
      0.359465423200086,
      0.257213902662904,
      0.393144567126909,
      0.221657163534556,
      0.359108896111013,
      0.253371007631707,
      0.354379449664669,
      0,
      0.0959163864905227,
      0.359223773876553,
      0.185181582072448,
      0.0979518554564945,
      0.300607181070898,
      0.198939168082455,
      0.0848442058598788,
      0.266937339558207,
      0.185701014129003,
      0.491378678506937,
      0.285454524612675,
      0.267401330545421,
      0.264042989793634,
      0.231353673511906,
      0.209580223728714,
      0.197795801263096,
      0.188400359528786,
      0.160524313020802,
      0.219485143795757,
      0.140366471961606,
      0.404793772704739,
      0.277246358818089,
      0.233169805540007,
      0.236710569229717,
      0.269935622200127,
      0.140494542371224,
      0.232240471030715,
      0.169648904569904,
      0.447899369392573,
      0.237243403417335,
      0.215092614302007,
      0.252914451432246,
      0.17045256260344,
      0.361818404240819,
      0.314829880840173,
      0.335657048226354,
      0.285073871832885,
      0.32357673032111,
      0.340847286492441,
      0.471653315573256,
      0.347669728707892,
      0.348531251096452,
      0.340435195219101,
      0.378025408527233,
      0.380777730916501,
      0.306700274370964,
      0.332374828585087,
      0.40035071372058,
      0.269345776787521,
      0.249419643896376,
      0.295424459475121,
      0,
      0.216365485051665,
      0.424258027888189,
      0.361118648682303,
      0.221396154724961,
      0.434748639091396,
      0.220301935394832,
      0.464882250651402,
      0,
      0.371200720037537,
      0.288552007641679,
      0.394772168307716,
      0.155579038167673,
      0.365821110955386,
      0.170974564791695,
      0.306896795727264,
      0.261164034701578,
      0.274765705539537,
      0.443066890351521,
      0.334412818945853,
      0.213393507004901,
      0.221379016997121,
      0.294807880279546,
      0.280848705273424,
      0.258853071493465,
      0,
      0.519176510507515,
      0.173479009520655,
      0.399557024797548,
      0.11683240085436,
      0.356891465875441,
      0,
      0.243534032079954,
      0.300986254368635,
      0.206810312579081,
      0.210608113125975,
      0.171648263661874,
      0.394756554159336,
      0.311067345362055,
      0.250698372343631,
      0.388490699874549,
      0.265095547393224,
      0.287297692316367,
      0.347993354230964,
      0.389975880697884,
      0.475685632059511,
      0.165652098668857,
      0.364199598536062,
      0.247968799975872,
      0.285996568009029,
      0.329121118833129,
      0.0701632262139715,
      0,
      0.150771449477536,
      0.26922110574373,
      0.0830695129814244,
      0.445686075877148,
      0.270673752948855,
      0.299739568850001,
      0.338533331527463,
      0.347117917012615,
      0.336948520118198,
      0.424532227581907,
      0.230453155087026,
      0.408496622393714,
      0.179754705038401,
      0.300231864342548,
      0.261954547800596,
      0.235663345660056,
      0.15252266606339,
      0.250115123573872,
      0.349628004276159,
      0.370872112884992,
      0.383360278801462,
      0.207043037499613,
      0.499012842727032,
      0.265114129924464,
      0.315018681961426,
      0.204077906836713,
      0.0232970065882592,
      0.237320983660481,
      0.275438959184001,
      0.240815719843501,
      0.331569743356711,
      0.223520830644596,
      0.281999746577813,
      0.36195710604762,
      0.0999991562436098,
      0.177729967282073,
      0.301195903033869,
      0.238613020151798,
      0.193355576218171,
      0.308967547405101,
      0.0686059179109295,
      0.465183372193335,
      0.371777292423269,
      0.393452233078378,
      0.275571399408815,
      0.389989826881093,
      0.120679427954447,
      0.241968159048299,
      0.281391651746595,
      0.172459615315855,
      0.0546980895838301,
      0.127821293593963,
      0.429203240119036,
      0.224935602366253,
      0.219657947207123,
      0.256511877544463,
      0.298683905388399,
      0.119904145288169,
      0.35270052126455,
      0.115110288577029,
      0.48145609420159,
      0.22425787276208,
      0.357010266566502,
      0.263610097822513,
      0.247065343581698,
      0.203006384119602,
      0.248870660298526,
      0.249564855869825,
      0.283174010502229,
      0.138060291557276,
      0.150432071029164,
      0.460841215070264,
      0.180633679086571,
      0.308525233245954,
      0.178583019233775,
      0.356075154367084,
      0.0861914456777625,
      0.391502145345399,
      0.227232775513235,
      0.423208786831859,
      0.279728427203651,
      0.374720985259341,
      0.326849540325209,
      0.304194451972443,
      0.259104866301908,
      0.339710857337064,
      0.230782495001669,
      0.357328990348598,
      0.358707318346106,
      0.341546602058089,
      0.473866664099564,
      0.403809839685496,
      0.380804450967039,
      0.333420833668404,
      0.30100993381969,
      0.352959746084356,
      0.283785905911889,
      0.287039130023727,
      0.295291086419448,
      0.287285674067391,
      0.109426884541236,
      0.418339174697816,
      0.329194581706615,
      0.351052943589937,
      0.33979700076834,
      0.293469212174491,
      0.288227155046279,
      0.368376485843288,
      0.385910797569818,
      0.496527517797806,
      0.341447307914584,
      0.351595022137597,
      0.337887628322996,
      0.406559863830492,
      0.361825527592402,
      0.341097244320106,
      0.325361091829797,
      0.329299344984315,
      0.255037710974875,
      0.254783293222598,
      0.41409276708554,
      0,
      0.252836198162186,
      0.425686240068391,
      0.385100056599633,
      0.124965241539535,
      0.334276752215788,
      0.159252102866522,
      0.453558994190357,
      0.259681350985023,
      0.366066499393995,
      0.227021165908127,
      0.257890752752631,
      0.207864969793094,
      0.158643111784057,
      0.25016142170391,
      0.103605796065147,
      0.142447930966535,
      0.160356966077125,
      0.471228066888329,
      0.16523405662952,
      0.292409530582697,
      0.265446326355294,
      0.370230043248546,
      0.0997346175954466,
      0.39164268157249,
      0.253568534682118,
      0.3979390067146,
      0.153070696514281,
      0.249603024271865,
      0.245423094939359,
      0.202831117004069,
      0.16494146316539,
      0.219676098691958,
      0.143863975783983,
      0.0695779621399009,
      0.218632965824064,
      0.229956177925118,
      0.48154167690261,
      0.150600791573779,
      0.357925497399853,
      0.247796188219164,
      0.389797154789631,
      0.195267832337386,
      0.423305438497295,
      0.256735908408204,
      0.331658993637466,
      0.178935758476159,
      0.263124936135868,
      0.337001154477976,
      0.223994109069308,
      0.222146866084894,
      0.144101166116046,
      0.174995428338269,
      0.228342910050748,
      0.243473829925955,
      0.162036855350171,
      0.470636574568011,
      0.168007903162932,
      0.210557627516627,
      0.246867511378903,
      0.216136055722659,
      0.138763371505322,
      0.0360704949569058,
      0.158286107813611,
      0.190868279224226,
      0.227450552443799,
      0,
      0.182148213537611,
      0.136754216240888,
      0.152001241221347,
      0.171899458433621,
      0.0246205378419006,
      0.174894534882241,
      0.231076458474008,
      0.175617494925115,
      0.248763200997191,
      0.255307615863725,
      0.179927968069217,
      0.173372561847444,
      0.259031719280369,
      0.0708102829933533,
      0.119724236152936,
      0.170352357390408,
      0.181431316941841,
      0.223028067131853,
      0.0615417781791571,
      0.14309946795471,
      0.223938313865297,
      0.213072318778696,
      0.167798309990491,
      0.149067097426121,
      0.175901540853184,
      0.113841391841364,
      0.17241989851521,
      0.211997137813958,
      0.214502190387034,
      0.262907295988852,
      0.291119400551113,
      0.263890268630917,
      0.279079548705601,
      0,
      0.225947546723643,
      0.334146498577193,
      0.243155489393892,
      0.0063188536530034,
      0.228861823608198,
      0.253127444421343,
      0.159431139609454,
      0.0661232609015312,
      0.212644672426709,
      0.250360075156455,
      0.305474385933235,
      0.276216124227892,
      0.252554111893969,
      0.23388788712474,
      0.189226597475708,
      0.192383859614201,
      0.220917400009418,
      0.342765677667139,
      0.23546031789084,
      0.146087089307342,
      0.303346279108882,
      0.278867107394258,
      0.217599121425796,
      0.240397083839233,
      0.223468677535927,
      0.152836820089631,
      0.340882032731423,
      0.209812114410051,
      0.48964968147038,
      0.284547352831203,
      0.225164717469636,
      0.2795151643574,
      0.119601711571491,
      0.404456062636871,
      0.339634602839775,
      0.304828571953732,
      0.29783647555279,
      0.371393994240557,
      0.34737893447233,
      0.376489331494477,
      0.388110553159562,
      0.360612202569094,
      0.381363976228105,
      0.291479818385584,
      0.357231487947564,
      0.271750516600405,
      0.313505900063813,
      0.484428527901445,
      0.276446761821024,
      0.23825925460358,
      0.172181171301939,
      0,
      0.249652119165952,
      0.410150269448024,
      0.329404777818291,
      0.161395770617845,
      0.311864342247571,
      0.404299389705183,
      0.496203332343273,
      0.0977667055251153,
      0.317601566139211,
      0.217393096252148,
      0.33085727925896,
      0.481109146173228,
      0.369719822911763,
      0.306108306568867,
      0.469319625172847,
      0.341679667993949,
      0.366247701236128,
      0.20962980685836,
      0.24377624280036,
      0.342645573166458,
      0.284105705971741,
      0.271445051108637,
      0.387592828143702,
      0.0441963280607677,
      0,
      0.493273439637947,
      0.105678826277319,
      0.296271956535838,
      0.493202482018609,
      0.37809757889181,
      0.193763113451949,
      0.373638460947471,
      0.09189162919259,
      0.454121565209021,
      0.0643828198625711,
      0.393137032608746,
      0.312987257780358,
      0.437700120058862,
      0.38808046846692,
      0.0945850679106468,
      0.221962884134625,
      0.246175435431031,
      0.216754858254132,
      0.384966687259647,
      0.520389863166426,
      0.307527306548223,
      0.376292432695016,
      0.31174936536773,
      0.494488449727723,
      0.058185836861836,
      0.369872993298356,
      0.302026153908746,
      0.26229952011864,
      0.184529303083444,
      0.152924694200291,
      0.414307322100468,
      0.247863980179658,
      0.181806809829744,
      0.287297511345644,
      0.236353717818176,
      0.318077521186256,
      0.285596412722062,
      0.197263283126041,
      0.502724820645022,
      0.344386593232436,
      0.406248870886588,
      0.138895887000835,
      0.153190241099662,
      0.233611273374452,
      0.274445172528447,
      0.329912486429171,
      0.248493655571735,
      0.285203045737667,
      0.169280119258516,
      0.445887735215737,
      0.276227184115881,
      0.397341590127089,
      0.205717892068914,
      0.124890611423161,
      0.199464846990476,
      0.296515249027517,
      0.236841037478098,
      0.435631214313733,
      0.171590182239343,
      0.253693309604391,
      0.203098937597128,
      0.0747340748507679,
      0.182874163629251,
      0.254410268478149,
      0.253352435442442,
      0.18407356869657,
      0.210510652505002,
      0.0461733948814827,
      0.448241070527991,
      0.365951016919303,
      0.296078888270834,
      0.293430024114317,
      0.385525757568019,
      0.056579708342165,
      0.412637724021512,
      0.254003706830328,
      0.412438607373354,
      0.039628395301691,
      0.229297472044499,
      0.254380714952278,
      0.232825504314765,
      0.0653149479663843,
      0.231392858623399,
      0.17689980165544,
      0.188505507589383,
      0.186198196783496,
      0.179834318711361,
      0.521620733705505,
      0.163100805691268,
      0.372121797555804,
      0.188100767101836,
      0.40986973845735,
      0.268583649300131,
      0.370046157159328,
      0.269761517329838,
      0.321260568119022,
      0.0381394723315674,
      0.136127887240088,
      0.384378903487185,
      0.260722668460501,
      0.091099604689926,
      0.291360362127317,
      0.238616149430992,
      0.0592367130620895,
      0.269974073204255,
      0.207440505583344,
      0.509030183058051,
      0.300645804888747,
      0.269090314677535,
      0.316331800440345,
      0.267506401873182,
      0.20535747138215,
      0.214848210982002,
      0.218506099603458,
      0.219807040537201,
      0.224816001904325,
      0.116574511199749,
      0.424141805303468,
      0.296208849727648,
      0.266314755489045,
      0.265144802100681,
      0.270273392349074,
      0.169520427269488,
      0.33238707271346,
      0.224765246471266,
      0.448837651079854,
      0.282975362498696,
      0.215743464603187,
      0.258374631835627,
      0.197076531591496,
      0.408613884553963,
      0.343724606766072,
      0.340545065730156,
      0.272413426566251,
      0.339618334779452,
      0.379201919038042,
      0.478914597426753,
      0.385352464755752,
      0.3690046198645,
      0.372443021824653,
      0.391546052617982,
      0.356548760807749,
      0.318014381261517,
      0.354010584800949,
      0.384278759586415,
      0.337944521282182,
      0.233981543649788,
      0.274784959769363,
      0,
      0.221169957046186,
      0.413648856438996,
      0.32640268732718,
      0.238876940481627,
      0.426153580268892,
      0.30212077152078,
      0.472455389645169,
      0.0256835484448069,
      0.380050324516729,
      0.258253454305124,
      0.405529179040169,
      0.21930816534075,
      0.367219535962986,
      0.167896038533132,
      0.288889441056782,
      0.288995249564239,
      0.222539303654711,
      0.418118181524316,
      0.377768379721757,
      0.224815295571708,
      0.232276948119757,
      0.316832594362309,
      0.294517733374079,
      0.263532703469938,
      0,
      0.503894450614751,
      0.161747385810932,
      0.408289065730021,
      0.142651738327796,
      0.365279158491827,
      0,
      0.256215514657005,
      0.368948243433707,
      0.269489232326509,
      0.188785258794101,
      0.230431672583792,
      0.419843105871032,
      0.209553752252328,
      0.232771991056506,
      0.389447481596405,
      0.273849633653768,
      0.318719970598088,
      0.366499152043026,
      0.348281520076097,
      0.474437548920497,
      0.162400330992687,
      0.3804371882069,
      0.378515369843211,
      0.309783039659639,
      0.372490713189056,
      0.0568827046577535,
      0,
      0.194016857450993,
      0.285569850295134,
      0.0905512998596601,
      0.466458886490038,
      0.189415410059595,
      0.281900478529126,
      0.31964568269807,
      0.380582779162877,
      0.316564861759556,
      0.412529459089319,
      0.210760724223058,
      0.401529252278501,
      0.216877338842077,
      0.326289970569709,
      0.284370787100614,
      0.276797475039885,
      0.20010884195329,
      0.242842634393358,
      0.307846010017115,
      0.401934771512405,
      0.388951704882116,
      0.179329119182349,
      0.493696439219819,
      0.295872152983264,
      0.334367544028226,
      0.231256224508398,
      0.0702410841733444,
      0.227597323333118,
      0.261049599114383,
      0.239172541676328,
      0.29559920188094,
      0.179607899977253,
      0.251952473135547,
      0.335982918050913,
      0.092037514763743,
      0.136576879704168,
      0.28612818859008,
      0.23862766751061,
      0.185657597668826,
      0.29007182953072,
      0.0370963002017094,
      0.4701714870006,
      0.370393325114879,
      0.409243750109798,
      0.262430501087294,
      0.386691338945267,
      0.0985378368729952,
      0.231907094118193,
      0.236535258412548,
      0.150643416838166,
      0.0485784605159292,
      0.14959264215517,
      0.436726399993366,
      0.224268178512103,
      0.221016269676539,
      0.242993865735622,
      0.288996995860897,
      0.1500044115724,
      0.356083003410684,
      0.118149218920334,
      0.475065308459458,
      0.167903420667023,
      0.362694546065263,
      0.236297150415841,
      0.232578172190559,
      0.257119791114721,
      0.286814645063347,
      0.275864899650448,
      0.25150728505882,
      0.205561161401264,
      0.170703465231483,
      0.460042237821761,
      0.192402060901556,
      0.299505418471989,
      0.193831983758647,
      0.360429009556823,
      0.129025835201361,
      0.407998698225099,
      0.179563502012331,
      0.419718974192192,
      0.286858777305743,
      0.389099772896357,
      0.375255478785419,
      0.317263605115282,
      0.314726983366064,
      0.381955305004951,
      0.230109068065411,
      0.362269897575625,
      0.399000904197737,
      0.395096346441039,
      0.488918708045189,
      0.399726519054295,
      0.383844995196574,
      0.34871499007246,
      0.320338446643871,
      0.377371487130876,
      0.364410064074574,
      0.274603810492245,
      0.30332847114657,
      0.281502220495419,
      0.116441433071665,
      0.416421354187766,
      0.319324269610253,
      0.360088279955646,
      0.339165624609274,
      0.301015042931173,
      0.274169192794804,
      0.400625512290554,
      0.389914775684778,
      0.491534289473414,
      0.389531333309629,
      0.339746598586225,
      0.379914757535921,
      0.398157149510999,
      0.352415327277275,
      0.371458991099115,
      0.360115712758249,
      0.335961483182139,
      0.287417657345226,
      0.24203567273076,
      0.43517685580405,
      0,
      0.237549143293964,
      0.430770451764723,
      0.37526855724809,
      0.101071703226388,
      0.355666542249527,
      0.215081241859305,
      0.454986288751768,
      0.228463839294841,
      0.374526763055788,
      0.190275367362413,
      0.24432107898642,
      0.18949086756813,
      0.108132359454587,
      0.270692692476575,
      0.128935178076246,
      0.13899928869449,
      0.240715113646622,
      0.474436937005172,
      0.200985795865863,
      0.295613226811062,
      0.249556097642855,
      0.374483430094215,
      0.113950017106822,
      0.416939193938963,
      0.269538146932445,
      0.405852598324869,
      0.190487480403379,
      0.236970895452203,
      0.28227453886058,
      0.219919159629163,
      0.105300759027644,
      0.217557057202431,
      0.158280696883423,
      0.0614738124578363,
      0.229910446801271,
      0.294569309966674,
      0.500853486692154,
      0.155601121764343,
      0.393920522156947,
      0.249838498146547,
      0.40626055454681,
      0.223773204405165,
      0.431398572434622,
      0.262304261828955,
      0.308405553156905,
      0.232719787316157,
      0.278620079299849,
      0.353156343126017,
      0.257041879673633,
      0.209220933030018,
      0.134585895168051,
      0.174435320828004,
      0.243774109570844,
      0.213064407980929,
      0.190197830712924,
      0.484970895826059,
      0.210417327318789,
      0.239789344014228,
      0.262144140033272,
      0.246566169364799,
      0.142362119722786,
      0.0391417670611467,
      0.1697963260325,
      0.244838557931208,
      0.211416550935906,
      0,
      0.164949274629512,
      0.0950887816506027,
      0.116789026537511,
      0.135957094511811,
      0,
      0.0907419098365731,
      0.191856210521152,
      0.166684602414834,
      0.247741480203927,
      0.248735864393959,
      0.158850526074814,
      0.201441857610279,
      0.220175154877359,
      0.0999598638714265,
      0.0558822071050842,
      0.1639662553348,
      0.197468921446592,
      0.210308656359853,
      0.0881446716277839,
      0.104623727587181,
      0.181411760901093,
      0.208046592277669,
      0.0657873688149851,
      0.148306842204707,
      0.133384415313027,
      0.114269213165194,
      0.112395660718634,
      0.0633177388679354,
      0.168653235047099,
      0.239519508295917,
      0.287958196475213,
      0.258296962344701,
      0.233103331759396,
      0,
      0.153532420075621,
      0.27659339279408,
      0.230706321830691,
      0.0331910861731198,
      0.222956511619572,
      0.22573582577834,
      0.144569056616382,
      0.0363350574783717,
      0.215251647669535,
      0.265219451014697,
      0.256113652094045,
      0.241344237575747,
      0.236680014823546,
      0.235104872418403,
      0.145666671118816,
      0.148240417421849,
      0.232471965280294,
      0.320873822267775,
      0.200760966626274,
      0.138690317712105,
      0.287820991068672,
      0.210585805792496,
      0.177307257522366,
      0.224806866590424,
      0.190984181002096,
      0.111299166186212,
      0.276101766276517,
      0.181968643789471,
      0.458423990781335,
      0.238679790698324,
      0.181771473672582,
      0.264645538014076,
      0.0649619808752129,
      0.365614740622248,
      0.325248577067396,
      0.285559372226723,
      0.288198918573751,
      0.343583814374201,
      0.300255568296721,
      0.357633660540754,
      0.384262975988351,
      0.324323293791156,
      0.357463391843319,
      0.292061926914507,
      0.317673861438892,
      0.256565003747407,
      0.267855410920442,
      0.458775434202172,
      0.229652172381211,
      0.162711169272358,
      0.141406432521086,
      0,
      0.276889542550532,
      0.379285194971222,
      0.26552316668003,
      0.141162026809029,
      0.272755307364062,
      0.370819802804524,
      0.455029678064415,
      0.047260001378342,
      0.321482104221551,
      0.195873332565928,
      0.316299017678834,
      0.448877261978457,
      0.358840898116679,
      0.268060330340909,
      0.448706584563826,
      0.354870606640672,
      0.35705620291106,
      0.203343271973622,
      0.234885087940733,
      0.332265433290967,
      0.251876116364672,
      0.264460722849857,
      0.328087638846434,
      0,
      0,
      0.455822384334608,
      0.0993376717870893,
      0.311152676629028,
      0.462718085265561,
      0.354502177828761,
      0.235428092441472,
      0.368354547591822,
      0.0364916732982499,
      0.410973114207597,
      0.0158830717825325,
      0.28947580192547,
      0.291941294954944,
      0.418401392396105,
      0.338933698146058,
      0.0801729036428742,
      0.162916295304615,
      0.133587207987063,
      0.229907704459217,
      0.357742444583681,
      0.476070010367896,
      0.285441700286425,
      0.351253208641251,
      0.276350852397248,
      0.455610175198006,
      0.0393643837980582,
      0.348360325337716,
      0.242279845768079,
      0.240272169976805,
      0.179469500071463,
      0.150264387420236,
      0.363067699016779,
      0.133950155496483,
      0.10646997869069,
      0.276133425865889,
      0.21246819491769,
      0.260014473067668,
      0.296049998617628,
      0.179414838822247,
      0.465415829916626,
      0.266304373502346,
      0.389486047720629,
      0.137974009249708,
      0.123052223799048,
      0.173459122351395,
      0.254747558019032,
      0.283680500956975,
      0.203646874374814,
      0.255279224210245,
      0.138475146900205,
      0.431882560539541,
      0.289018146624509,
      0.342195878678671,
      0.147060541548464,
      0.126666707993905,
      0.164058601423744,
      0.241648645877399,
      0.158644550775256,
      0.415010555763676,
      0.08906395185599,
      0.206168561668568,
      0.161236001954355,
      0.116105011372638,
      0.147153440049453,
      0.189757514078723,
      0.239765223158019,
      0.135663657327273,
      0.169452675090008,
      0.0123052223616786,
      0.410109662788922,
      0.296008284724171,
      0.269941914573394,
      0.270504554269301,
      0.358659348186002,
      0.0159784551706863,
      0.38619690258433,
      0.225722496231548,
      0.398618569609867,
      0.0557602080864256,
      0.234317184858479,
      0.244622473416355,
      0.205696266149255,
      0.067091373667948,
      0.183290532238869,
      0.14094565558646,
      0.16428242634724,
      0.144834710455223,
      0.153000043383667,
      0.489576082392887,
      0.161151603611428,
      0.352628566402064,
      0.130204637308799,
      0.385970222267435,
      0.244323317032216,
      0.364495043971082,
      0.218356046728257,
      0.288029295777436,
      0.0692920214508317,
      0.0867406377511048,
      0.342068454571806,
      0.283192029725794,
      0.0653809658798234,
      0.239435402782853,
      0.217157228169057,
      0.104695135649782,
      0.258420640598515,
      0.192497787241932,
      0.471928201532926,
      0.260175434426516,
      0.223142130618523,
      0.289588412433239,
      0.248385421943238,
      0.152440160619823,
      0.172187690042123,
      0.212166188823053,
      0.227849473563231,
      0.196246503581282,
      0.103741006042129,
      0.41359317232624,
      0.234617854917138,
      0.186345433838056,
      0.268290400475254,
      0.24547615415895,
      0.130102135465421,
      0.303476976271251,
      0.203162763811568,
      0.419945787310036,
      0.240233443494993,
      0.158356093750658,
      0.248830666405924,
      0.175716910161642,
      0.373021903421099,
      0.333343029254654,
      0.295260804482076,
      0.223043886316625,
      0.323359448043474,
      0.316798538688521,
      0.452375369531587,
      0.379862696873443,
      0.342391870027356,
      0.358694585199581,
      0.344091190874455,
      0.320638659901927,
      0.265588216057117,
      0.302366607385394,
      0.38053199053951,
      0.305496969345109,
      0.173633984291501,
      0.239373748700348,
      0,
      0.228347297571607,
      0.361045547551484,
      0.264092219636439,
      0.25569407595688,
      0.38239578473643,
      0.260975086792472,
      0.449061935929653,
      0,
      0.356316587713093,
      0.21599244728328,
      0.382913864786491,
      0.183474890532259,
      0.349946594714366,
      0.124713067110354,
      0.274553058999525,
      0.302145417620406,
      0.115159297362278,
      0.375048642221407,
      0.355484763632192,
      0.196639447427485,
      0.176117501245685,
      0.319272819609987,
      0.265202290366646,
      0.255875119338708,
      0,
      0.474752963849243,
      0.116865211884416,
      0.403856740053178,
      0.117441324658823,
      0.342655115157006,
      0,
      0.234209023183847,
      0.345853270282276,
      0.228072608891699,
      0.174469303469764,
      0.217366902141116,
      0.397696763114371,
      0.145438823880733,
      0.180909804455759,
      0.330020282262447,
      0.267031463193005,
      0.184834350443956,
      0.360494864000118,
      0.326145037995467,
      0.439917301346684,
      0.133852173153132,
      0.344504309392226,
      0.337301485840946,
      0.278462659335599,
      0.372527484501838,
      0.0641392379686868,
      0,
      0.205710900304589,
      0.269721999803692,
      0.0462358092019415,
      0.43761394447087,
      0.143984529365894,
      0.275820988579955,
      0.333274696863575,
      0.370133736203918,
      0.2694269789518,
      0.396486134206962,
      0.204889176617176,
      0.399222509180591,
      0.170276511617844,
      0.299663561987441,
      0.242544745016087,
      0.232198642275483,
      0.167370406813042,
      0.217506630237269,
      0.241138500808867,
      0.347565435031747,
      0.342663051204039,
      0.138771688455112,
      0.456369587452056,
      0.291074858145992,
      0.292308429019328,
      0.145841380225402,
      0.070990363096615,
      0.207392227485436,
      0.22544868626852,
      0.174180811928573,
      0.274286260154221,
      0.0912292695443131,
      0.191891243481842,
      0.326595295647223,
      0.12600416484148,
      0.12288880157479,
      0.235870501389473,
      0.21218113729889,
      0.130850846730545,
      0.270032401840731,
      0.0750107941989051,
      0.446490540353913,
      0.329270652745025,
      0.388837388834563,
      0.238287998203417,
      0.365994376076813,
      0.0110114635030379,
      0.225177228898718,
      0.196152078787321,
      0.144145230135999,
      0.0391635658609247,
      0.135324285444165,
      0.395013694140416,
      0.218039026336513,
      0.183782228284089,
      0.196219233754577,
      0.269999773021228,
      0.165614001473341,
      0.349336816993431,
      0.155486366816502,
      0.442570590356654,
      0.117665885840269,
      0.348227543501501,
      0.193217949741076,
      0.220209138530536,
      0.231744926685479,
      0.278513418727971,
      0.233760858120804,
      0.201224140013465,
      0.20308165017227,
      0.187762086169164,
      0.41304072740893,
      0.226037501801777,
      0.28541589031223,
      0.188021863291691,
      0.343663250531661,
      0.134983226755093,
      0.388777035286993,
      0.178887408294417,
      0.409773876943753,
      0.272058084046606,
      0.367890873238802,
      0.348981685566127,
      0.295330323683668,
      0.282959494325589,
      0.359667955890505,
      0.210702243995912,
      0.294798351988633,
      0.391505998211068,
      0.398300168799922,
      0.444108783441135,
      0.317085513260735,
      0.275538273080682,
      0.311630391690894,
      0.262051869250805,
      0.373543623935395,
      0.342266568543155,
      0.224444587649395,
      0.272114356865802,
      0.258393691348981,
      0.094150185862109,
      0.379520197508182,
      0.259938025874312,
      0.38355453264666,
      0.31673989468829,
      0.27955322312773,
      0.223379022877825,
      0.373544293589152,
      0.322400875286204,
      0.442285905240397,
      0.371031359630458,
      0.331954696015165,
      0.355995819522883,
      0.302463766215005,
      0.311357491016743,
      0.289662361037221,
      0.320698235564859,
      0.33916665898688,
      0.294593303891748,
      0.164708983279667,
      0.385723254338518,
      0,
      0.16435127824794,
      0.379628754758901,
      0.33432357806901,
      0.0646833109177398,
      0.332529201417687,
      0.165342336783023,
      0.419080512705462,
      0.264386064092439,
      0.352683613373441,
      0.16691290639617,
      0.232698568988528,
      0.131812326054696,
      0.0660754247392756,
      0.189120173788482,
      0.0946007072997781,
      0.100866526737479,
      0.210977508464657,
      0.427286472781576,
      0.137141259949526,
      0.26737656594681,
      0.234701597891131,
      0.353694203392835,
      0.0896376166503521,
      0.372843264266608,
      0.225220835969897,
      0.381524109563303,
      0.140643454654815,
      0.225744988162117,
      0.260710406480094,
      0.212782319178805,
      0.0549877775382564,
      0.122287215847523,
      0.155202279455834,
      0.0317889011959335,
      0.172434875813326,
      0.265498440153062,
      0.459015872944998,
      0.161081358167917,
      0.374919306846906,
      0.213746001210846,
      0.387818785317789,
      0.211137953627576,
      0.421302913373136,
      0.178174021124932,
      0.296465635506045,
      0.219590464943606,
      0.238612297261926,
      0.32481301121296,
      0.162632945107561,
      0.121647929918105,
      0.109679532054316,
      0.157733981204632,
      0.200839938414557,
      0.17011354576735,
      0.182571571036237,
      0.445860527262301,
      0.203836970847087,
      0.223981432396737,
      0.217509257527101,
      0.19209468072967,
      0.128030883760411,
      0.0469099898295853,
      0.150429843568118,
      0.22113277741019,
      0.15240178030807,
      0,
      0.0379579632959688,
      0,
      0.0188355482878165,
      0,
      0,
      0,
      0.0296122781737856,
      0.0709860128410976,
      0.111657983153042,
      0.0912888722332816,
      0.0337697706288007,
      0.133683986289639,
      0.0985186129781757,
      0.00904168603484485,
      0,
      0.0818942967309645,
      0.0654225438736577,
      0.0742674383747363,
      0,
      0,
      0.0227458361917687,
      0.070840035923182,
      0,
      0.0174764035866446,
      0,
      0.00851140822800824,
      0,
      0,
      0.0201383169851518,
      0.0729856709679061,
      0.144450519111441,
      0.0877145403636555,
      0.0507990110759541,
      0,
      0.000514532086297837,
      0.142610111135538,
      0.12178350901737,
      0,
      0.111302988355673,
      0.0847462155785361,
      0.0375906514716854,
      0,
      0.116013697510112,
      0.168989112916346,
      0.0589457741739162,
      0.0497131797586047,
      0.0966675911264125,
      0.0346348990683219,
      0,
      0.0185864625396349,
      0.0997632423644877,
      0.187802191834447,
      0.0440179217099843,
      0,
      0.138956192440134,
      0.0520510079845028,
      0.0374977476591994,
      0.0684840545363668,
      0.0383102014006206,
      0,
      0.106636396387041,
      0.0180499809675968,
      0.325824072661246,
      0.0816788273036659,
      0,
      0.102306345934566,
      0,
      0.197018224260337,
      0.228739784414325,
      0.190934582039633,
      0.144475124084359,
      0.245846069106857,
      0.112532392498344,
      0.204235383090001,
      0.204682926282049,
      0.229077608604123,
      0.206399387242693,
      0.124715735426962,
      0.146796273082395,
      0.114217613427343,
      0.11543347421506,
      0.318503254622303,
      0.096459823291653,
      0.0311864028057834,
      0,
      0,
      0.126211805252661,
      0.286882336607391,
      0.0921891385011604,
      0.0474282212968842,
      0.157405793246515,
      0.262933148340469,
      0.319238945224876,
      0,
      0.156995132768557,
      0.101399188900531,
      0.135748736033421,
      0.271906493459683,
      0.177033118817178,
      0.106468943718509,
      0.301881715814993,
      0.238005512743326,
      0.194870244899175,
      0.0188032643598198,
      0.101364652374004,
      0.276877288615401,
      0.117007885037075,
      0.199573997351537,
      0.150533072926005,
      0,
      0,
      0.309727669068913,
      0,
      0.158924095975475,
      0.29340083701924,
      0.169788564276329,
      0.213565275363825,
      0.203461899855947,
      0,
      0.310752559061073,
      0,
      0.21517036976832,
      0.181382212476642,
      0.282084391810938,
      0.172853196978197,
      0,
      0.0453194811408945,
      0.0559575886323426,
      0.103714150757544,
      0.246823354380824,
      0.346973986223953,
      0.172945590459822,
      0.201770194780853,
      0.19943904987651,
      0.296292984753611,
      0,
      0.179085698174651,
      0.0743767641363978,
      0.140911950313045,
      0.0926030595462516,
      0,
      0.256371428953942,
      0.0153431329409845,
      0.0162943223211043,
      0.138798175486651,
      0.0463760840471174,
      0.0960396611225099,
      0.127622458577996,
      0.0399380464717817,
      0.331141523339206,
      0.222250235571021,
      0.208497249501591,
      0,
      0.010824948027912,
      0.00116595941521634,
      0.167725192023236,
      0.128797288640867,
      0.0432668585800744,
      0.14538501936912,
      0.0220991641058345,
      0.25930053315137,
      0.16295897295551,
      0.194612984700937,
      0.0781008588104091,
      0.00907882340100701,
      0.0156206469540113,
      0.102686792063415,
      0,
      0.279385002698122,
      0,
      0.0626482182631971,
      0.0534749763705544,
      0.0327628165548464,
      0.000743339458111117,
      0.0875409041965035,
      0.0726238584047399,
      0,
      0.0195055627560853,
      0,
      0.271238098884259,
      0.132435683692064,
      0.110091457934294,
      0.122027762250701,
      0.190209225159987,
      0,
      0.212632530021536,
      0.0763640817270745,
      0.251731916170151,
      0,
      0.110235036297325,
      0.0941766313094237,
      0.0730460094603769,
      0,
      0.0518740257184449,
      0,
      0.0240126719790196,
      0,
      0.0499996727243989,
      0.335996441441015,
      0.0438263312799207,
      0.176593645405546,
      0,
      0.214833429231052,
      0.0836040246500321,
      0.212780574588861,
      0.0698398866887859,
      0.150269804088507,
      0,
      0,
      0.193197177970604,
      0.176253711744227,
      0,
      0.100104533540585,
      0.0766640300482965,
      0.0169954942365263,
      0.0917121208599,
      0.0585424269095835,
      0.318635843975122,
      0.0948147420726281,
      0.0665142027948585,
      0.138380447736448,
      0.0405349780026201,
      0.0107030747577413,
      0,
      0.0532935973365271,
      0.119801808104407,
      0.0624893378564174,
      0,
      0.230773771548254,
      0.104521105905732,
      0.0379967173757902,
      0.149682013294034,
      0.0911845482518687,
      0,
      0.204111009880835,
      0.018256438397301,
      0.281031725997409,
      0.0662523698412819,
      0.00464910236728629,
      0.101555126731384,
      0.0125251863212805,
      0.202086978502328,
      0.239850833137268,
      0.179258752485185,
      0.0609185605790077,
      0.235498720757729,
      0.092657137883195,
      0.29648020785541,
      0.199261126738042,
      0.257577084577774,
      0.205873465848938,
      0.157339059390716,
      0.181695326609363,
      0.132549868140645,
      0.120989502932451,
      0.224629300551698,
      0.183454322580171,
      0.0384647901127336,
      0.0538864639165517,
      0,
      0.0953873857775978,
      0.241652119299151,
      0.069900199231715,
      0.143587968090096,
      0.25450187726882,
      0.00946317143779457,
      0.299604680032073,
      0,
      0.160265157634298,
      0.0610068234770665,
      0.205940226798652,
      0.154125047613897,
      0.171524027908543,
      0,
      0.155069420712572,
      0.127230594788087,
      0,
      0.21935038922271,
      0.182559193837146,
      0.132917633343679,
      0.0335006916418479,
      0.185786742712482,
      0.141884305853805,
      0.0759594082859357,
      0,
      0.296999676832021,
      0,
      0.2290824962766,
      0,
      0.170382909553035,
      0,
      0.123871882842134,
      0.150809981893603,
      0.206647596438631,
      0.0692169317175642,
      0.130683610182424,
      0.265573407463632,
      0.0141505967947112,
      0.0762840341543276,
      0.19675762279916,
      0.0910292441232388,
      0.109420337151303,
      0.191058318454619,
      0.183989910029744,
      0.300644981302754,
      0,
      0.179137503866088,
      0.177974618668042,
      0.156622168076908,
      0.218650378887031,
      0,
      0,
      0.116829219645802,
      0.159701595085822,
      0,
      0.272956751951023,
      0.0218972386125919,
      0.10195298523917,
      0.0394487833552902,
      0.169838089603142,
      0.179476661205393,
      0.223183769650994,
      0.0733995678339201,
      0.235356402410062,
      0.101422828780046,
      0.156996570802387,
      0.0843311957686035,
      0.107736944296296,
      0.00502346441064401,
      0.145994390915469,
      0.0648467745046321,
      0.224891227591276,
      0.245695120125175,
      0.0142633431854694,
      0.322366133375204,
      0.150308860073119,
      0.13111112094615,
      0.051040927862134,
      0,
      0.0477818128222566,
      0.0197371596026413,
      0.0258265483177916,
      0.124173148017339,
      0,
      0.0640506476104351,
      0.164343227275521,
      0.0225430182005644,
      0.00696079809297246,
      0.0725973526587884,
      0.0643190077060104,
      0.0182146871502826,
      0.0844897997615866,
      0,
      0.297097728872846,
      0.179754111294245,
      0.213460797714758,
      0.098654528275504,
      0.210162578203663,
      0,
      0.106840972974143,
      0.0934284531011772,
      0.063405494749486,
      0,
      0.0216365555438384,
      0.25289875618702,
      0.0854829682802806,
      0.041791950861732,
      0.0463203236103528,
      0.113739439048045,
      0.0600028208785914,
      0.201852426191941,
      0.0033531238111874,
      0.300076087760623,
      0,
      0.185139438458437,
      0.00146655593415529,
      0.0641866047114693,
      0.085578248799057,
      0.116284411336685,
      0.0793123775443515,
      0.0484506801900292,
      0.0833494147682734,
      0.0559110636261576,
      0.290020265688614,
      0.124291919781666,
      0.0967592741127296,
      0.0686544068207523,
      0.156095785689724,
      0.00444670138609288,
      0.206728367139017,
      0.061633036445873,
      0.271586332853224,
      0.116755504382558,
      0.204240222768562,
      0.220858132469605,
      0.222855717972169,
      0.190387934370198,
      0.269700839228253,
      0.0800620924302135,
      0.131787782617771,
      0.209386208711185,
      0.265502246957288,
      0.316715605580917,
      0.120815887150993,
      0.0802107560810972,
      0.124583680457104,
      0.127308130171637,
      0.20928656757025,
      0.24323190795317,
      0.0708638199092987,
      0.122251776154497,
      0.0951639991750638,
      0,
      0.241544046283107,
      0.117152327335928,
      0.211171614347624,
      0.241384208648776,
      0.203338280874905,
      0.0872812664849988,
      0.277158399571415,
      0.124995266281555,
      0.32772209754546,
      0.202670606182273,
      0.273744738795719,
      0.199108431876458,
      0.104935257858933,
      0.160493305056619,
      0.145434278624686,
      0.165279190434845,
      0.185573847477437,
      0.220875643993955,
      0.0285317045209569,
      0.237948974421242,
      0,
      0,
      0.161223229856534,
      0.130625772610591,
      0,
      0.173374860923587,
      0.0305617276278687,
      0.250374205842051,
      0.213896662905535,
      0.181247134174121,
      0,
      0.084349653672463,
      0.02125599388134,
      0,
      0.0400796872703907,
      0,
      0,
      0.0733675800721453,
      0.269268271300715,
      0,
      0.0987690138223417,
      0.0677266109232307,
      0.176195989536878,
      0,
      0.198893049056417,
      0.106115442707491,
      0.238234006992913,
      0,
      0.0802082619015283,
      0.0768061976264817,
      0.0823984867291094,
      0,
      0,
      0,
      0,
      0.0099131182272036,
      0.157931149536014,
      0.29742799349543,
      0.039627601786003,
      0.183855538958064,
      0.0463041655162691,
      0.207890287868337,
      0.0647572465773195,
      0.275151969415661,
      0.00492114935469334,
      0.136279099734659,
      0.0475274543332556,
      0.0161931837078282,
      0.155402061390004,
      0.0371035056385713,
      0,
      0,
      0,
      0.0432707187971183,
      0.0374229058173749,
      0.00972113504547522,
      0.32584830407162,
      0.0727585948859563,
      0.0411639720461964,
      0.0922577685751301,
      0.0534132239595325,
      0,
      0,
      0.0439063314626436,
      0.0938283004128525,
      0
    ],
    "fft_spectrum_256": [
      0,
      0,
      0.0235,
      0,
      0.168,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0424,
      0,
      0.1191,
      0.0888,
      0.1506,
      0.0054,
      0,
      0,
      0,
      0.0128,
      0,
      0,
      0,
      0.251,
      0.004,
      0,
      0.3446,
      0.1919,
      0,
      0.1141,
      0.2434,
      0,
      0.2524,
      0.3225,
      0,
      0.1848,
      0.1007,
      0.0341,
      0.1014,
      0.2207,
      0.1445,
      0.2022,
      0.1524,
      0.1299,
      0.2144,
      0.232,
      0.0388,
      0.2908,
      0.4544,
      0.4396,
      0.2608,
      0.6849,
      0.7529,
      0.5687,
      0.8281,
      0.7596,
      0.6332,
      0.3948,
      0.7791,
      0.6777,
      0.4687,
      0.3901,
      0.2321,
      0.1281,
      0.5928,
      0.4632,
      0.2736,
      0.593,
      0.3155,
      0.792,
      0.5831,
      0.3735,
      0.2357,
      0.4435,
      0.4425,
      0.1617,
      0.6696,
      0.6864,
      0.5259,
      0.7664,
      0.8236,
      0.594,
      0.4303,
      0.7696,
      0.6476,
      0.3106,
      0.0886,
      0.1495,
      0.0023,
      0.1456,
      0.098,
      0.1027,
      0.3105,
      0.1248,
      0.0723,
      0.0951,
      0.0767,
      0.1167,
      0.5277,
      0.3908,
      0.2017,
      0.644,
      0.7077,
      0.5155,
      0.7782,
      0.7715,
      0.5651,
      0.3523,
      0.8394,
      0.6106,
      0.5148,
      0.6105,
      0.285,
      0.6114,
      0.5037,
      0.3989,
      0.5863,
      0.4811,
      0.3275,
      0.7331,
      0.5121,
      0.3102,
      0.1869,
      0.1381,
      0.0045,
      0.1209,
      0.1731,
      0.1252,
      0.1997,
      0.1988,
      0.0949,
      0.2151,
      0.0914,
      0.0936,
      0.2719,
      0.0446,
      0.2895,
      0.3021,
      0.1821,
      0.068,
      0,
      0.3183,
      0.0966,
      0.3146,
      0.4164,
      0.1595,
      0.0563,
      0.0538,
      0.3918,
      0.2976,
      0.1401,
      0.6169,
      0.6482,
      0.4491,
      0.85,
      0.7193,
      0.5022,
      0.6933,
      0.7622,
      0.5521,
      0.464,
      0.4133,
      0.2707,
      0.4894,
      0.4803,
      0.3664,
      0.6013,
      0.4563,
      0.4288,
      0.6682,
      0.4553,
      0.249,
      0.5337,
      0.3664,
      0.3166,
      0.5348,
      0.6915,
      0.6206,
      0.4072,
      0.7819,
      0.6789,
      0.477,
      0.8159,
      0.73,
      0.5256,
      0.1759,
      0.0298,
      0.1012,
      0.1283,
      0.0845,
      0.288,
      0.2058,
      0.1133,
      0.3276,
      0.1719,
      0.1342,
      0.3743,
      0.4378,
      0.5242,
      0.3234,
      0.6572,
      0.6808,
      0.5864,
      0.692,
      0.7751,
      0.6516,
      0.4412,
      0.7912,
      0.6978,
      0.4994,
      0.4288,
      0.3434,
      0.1779,
      0.6338,
      0.5549,
      0.247,
      0.6183,
      0.4101,
      0.7568,
      0.602,
      0.4009,
      0.3501,
      0.3249,
      0.4972,
      0.3331,
      0.693,
      0.7137,
      0.5586,
      0.8153,
      0.7584,
      0.628,
      0.4047,
      0.7636,
      0.6731,
      0.4688,
      0.2706,
      0,
      0.1202,
      0.2931,
      0.1814,
      0.3039,
      0.244,
      0.2087,
      0.2092,
      0.2635,
      0,
      0,
      0.3815,
      0.3836,
      0.1849,
      0.6633,
      0.7189,
      0.5012,
      0.7914,
      0.7835,
      0.578,
      0.3439,
      0.826,
      0.6396,
      0.4921,
      0.4371,
      0.2903,
      0.608,
      0.5263,
      0.3865,
      0.3107,
      0.5236,
      0.4226,
      0.7473,
      0.5517,
      0.3297,
      0.2205,
      0.0396,
      0.105,
      0.207,
      0.0867,
      0.1246,
      0.2177,
      0.1414,
      0.1529,
      0.2002,
      0.0848,
      0.016,
      0.4081,
      0.1539,
      0.1831,
      0.115,
      0.2893,
      0.1715,
      0.0746,
      0.4018,
      0.1263,
      0.0208,
      0.0767,
      0,
      0,
      0,
      0,
      0,
      0.0558,
      0,
      0.0513,
      0.0333,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0479,
      0.1751,
      0.0472,
      0,
      0,
      0,
      0.0234,
      0,
      0,
      0,
      0.2321,
      0.2018,
      0,
      0.3497,
      0.2609,
      0.0847,
      0.0947,
      0.2309,
      0.0696,
      0.1636,
      0.3313,
      0,
      0.1803,
      0.0947,
      0.0847,
      0.1756,
      0.1457,
      0.2709,
      0.2529,
      0.1377,
      0.136,
      0.2807,
      0.246,
      0.0289,
      0.3473,
      0.9319,
      0.8797,
      0.7137,
      0.9311,
      0.9462,
      0.7973,
      0.9432,
      0.8591,
      0.7321,
      0.5398,
      0.8782,
      0.78,
      0.5704,
      0.9439,
      0.8172,
      0.6067,
      0.9628,
      0.8658,
      0.6565,
      0.9158,
      0.7242,
      0.8857,
      0.683,
      0.4766,
      0.2707,
      0.9045,
      0.8722,
      0.6885,
      0.8999,
      0.9535,
      0.7664,
      0.897,
      0.9355,
      0.6931,
      0.4961,
      0.8534,
      0.7453,
      0.2612,
      0.1968,
      0.2385,
      0.1449,
      0.2206,
      0.0971,
      0.0492,
      0.2999,
      0.1168,
      0.1058,
      0.2145,
      0.0235,
      0.2092,
      0.9973,
      0.8585,
      0.6476,
      0.8754,
      0.9365,
      0.7364,
      0.8778,
      0.882,
      0.67,
      0.4501,
      0.9499,
      0.7092,
      0.9477,
      0.9932,
      0.7548,
      0.9647,
      0.9188,
      0.8029,
      0.9092,
      0.8645,
      0.6641,
      0.8289,
      0.6158,
      0.4148,
      0.1795,
      0.205,
      0.0908,
      0.2006,
      0.1491,
      0.0487,
      0.2601,
      0.106,
      0.1247,
      0.1751,
      0.1389,
      0.0578,
      0.3028,
      0.1328,
      0.234,
      0.3507,
      0.1921,
      0.1767,
      0.0188,
      0.3048,
      0.1976,
      0.1734,
      0.4417,
      0.1838,
      0.0499,
      0.208,
      0.9648,
      0.7879,
      0.5852,
      0.9293,
      0.8765,
      0.6746,
      0.958,
      0.8186,
      0.6028,
      0.9418,
      0.8621,
      0.6497,
      0.9043,
      0.8979,
      0.6937,
      0.9057,
      0.9267,
      0.7354,
      0.9212,
      0.8001,
      0.6257,
      0.7654,
      0.5551,
      0.352,
      0.981,
      0.9373,
      0.7625,
      0.7697,
      0.918,
      0.8489,
      0.6388,
      0.9054,
      0.7766,
      0.5701,
      0.9238,
      0.8304,
      0.6246,
      0.2032,
      0.0915,
      0.2074,
      0.1752,
      0.0376,
      0.2444,
      0.1731,
      0.1295,
      0.3426,
      0.1467,
      0.0937,
      0.4346,
      0.9455,
      0.9511,
      0.7207,
      0.9442,
      0.889,
      0.8191,
      0.9484,
      0.8736,
      0.7517,
      0.5352,
      0.8876,
      0.7959,
      0.5934,
      0.9555,
      0.834,
      0.631,
      0.9756,
      0.8746,
      0.6773,
      0.9411,
      0.7429,
      0.8939,
      0.7016,
      0.4939,
      0.3303,
      0.9247,
      0.8815,
      0.7064,
      0.9125,
      0.9654,
      0.7866,
      0.9206,
      0.948,
      0.722,
      0.5149,
      0.8626,
      0.7697,
      0.5575,
      0.2901,
      0.0322,
      0.1406,
      0.286,
      0.1673,
      0.2803,
      0.2184,
      0.1574,
      0.2182,
      0.2254,
      0.0841,
      0.2123,
      0.8934,
      0.8677,
      0.6731,
      0.8898,
      0.9506,
      0.7518,
      0.8908,
      0.9109,
      0.6833,
      0.4703,
      0.9633,
      0.734,
      0.972,
      0.9047,
      0.7734,
      0.9002,
      0.9341,
      0.8152,
      0.6097,
      0.8757,
      0.6893,
      0.8465,
      0.6415,
      0.4257,
      0.203,
      0.1093,
      0.0005,
      0.2217,
      0.099,
      0.0181,
      0.2021,
      0.1678,
      0.1789,
      0.3267,
      0.0899,
      0.1252,
      0.3664,
      0.1701,
      0.1802,
      0.0971,
      0.3426,
      0.2128,
      0.0469,
      0.3996,
      0.2543,
      0.0621,
      0.1725,
      0.0301,
      0,
      0,
      0,
      0.0374,
      0,
      0,
      0.1566,
      0.0621,
      0.0673,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0036,
      0,
      0.0839,
      0.0361,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2789,
      0.0448,
      0,
      0.4021,
      0.1572,
      0.0493,
      0.1331,
      0.1434,
      0.095,
      0.1278,
      0.3279,
      0,
      0.1078,
      0.157,
      0.0654,
      0.1901,
      0.1188,
      0.2107,
      0.1566,
      0.1838,
      0.2025,
      0.2227,
      0.1913,
      0.1773,
      0.3587,
      0.5608,
      0.6149,
      0.4181,
      0.7339,
      0.8136,
      0.5748,
      0.7795,
      0.6514,
      0.608,
      0.3843,
      0.7112,
      0.6039,
      0.3989,
      0.5312,
      0.4705,
      0.2642,
      0.6972,
      0.575,
      0.3401,
      0.7596,
      0.547,
      0.7128,
      0.5092,
      0.3117,
      0.2621,
      0.5397,
      0.5699,
      0.4029,
      0.6883,
      0.7355,
      0.5333,
      0.7474,
      0.7473,
      0.578,
      0.4242,
      0.8031,
      0.5772,
      0.3122,
      0.0885,
      0.3329,
      0.0471,
      0.1635,
      0.0881,
      0.06,
      0.2694,
      0.0544,
      0.1158,
      0.1515,
      0.0958,
      0.0992,
      0.8164,
      0.5538,
      0.3722,
      0.6777,
      0.7136,
      0.5105,
      0.7091,
      0.7465,
      0.5518,
      0.3287,
      0.7503,
      0.546,
      0.5908,
      0.9157,
      0.4303,
      0.7118,
      0.6485,
      0.508,
      0.9121,
      0.6973,
      0.4786,
      0.6497,
      0.4469,
      0.2703,
      0.1495,
      0.2219,
      0,
      0.0584,
      0.0894,
      0.0522,
      0.2355,
      0.0519,
      0.142,
      0.2338,
      0.2347,
      0.0026,
      0.3966,
      0.0393,
      0.1829,
      0.3604,
      0.1934,
      0.1379,
      0,
      0.3428,
      0.156,
      0.1335,
      0.3405,
      0.3527,
      0,
      0.1125,
      0.5692,
      0.4636,
      0.2963,
      0.6846,
      0.6614,
      0.465,
      0.7756,
      0.6978,
      0.483,
      0.8779,
      0.6793,
      0.4766,
      0.5337,
      0.5525,
      0.3933,
      0.6615,
      0.6376,
      0.4155,
      0.6904,
      0.6389,
      0.6536,
      0.5927,
      0.3825,
      0.1737,
      0.6054,
      0.536,
      0.4563,
      0.8146,
      0.6807,
      0.6299,
      0.4213,
      0.7019,
      0.66,
      0.4574,
      0.764,
      0.6568,
      0.4534,
      0.0809,
      0.152,
      0.1301,
      0.1535,
      0.2748,
      0.1457,
      0.1652,
      0.1676,
      0.3612,
      0.1552,
      0.188,
      0.4003,
      0.5674,
      0.7823,
      0.3855,
      0.7468,
      0.6645,
      0.6062,
      0.8822,
      0.6608,
      0.6257,
      0.416,
      0.7137,
      0.6137,
      0.4252,
      0.5224,
      0.4924,
      0.2696,
      0.6823,
      0.6222,
      0.3783,
      0.9131,
      0.5777,
      0.7324,
      0.535,
      0.3429,
      0.378,
      0.5348,
      0.5888,
      0.4153,
      0.7057,
      0.7248,
      0.5705,
      0.7648,
      0.8892,
      0.602,
      0.3946,
      0.6962,
      0.5976,
      0.3994,
      0.1623,
      0.0109,
      0.1576,
      0.2863,
      0.1089,
      0.1936,
      0.2752,
      0.2452,
      0.1981,
      0.259,
      0,
      0.1281,
      0.5964,
      0.5661,
      0.3548,
      0.6788,
      0.7319,
      0.5267,
      0.721,
      0.7492,
      0.5527,
      0.3427,
      0.8032,
      0.5583,
      0.6489,
      0.6882,
      0.4306,
      0.9176,
      0.6629,
      0.527,
      0.3003,
      0.7011,
      0.4986,
      0.6697,
      0.443,
      0.2798,
      0.1502,
      0.1034,
      0.1182,
      0.1661,
      0.1258,
      0.1274,
      0.1692,
      0.1781,
      0.2126,
      0.3445,
      0.1358,
      0.0546,
      0.3756,
      0.07,
      0.1214,
      0.3089,
      0.3094,
      0.109,
      0.0169,
      0.4057,
      0.1824,
      0.0456,
      0.2026,
      0.0332,
      0,
      0,
      0,
      0.0784,
      0,
      0.1436,
      0.1517,
      0.0189,
      0.1125,
      0,
      0,
      0.0362,
      0.0227,
      0,
      0,
      0,
      0.021,
      0.019,
      0.0701,
      0.1273,
      0.0642,
      0.0201,
      0.0408,
      0.0298,
      0.1741,
      0,
      0,
      0.0036,
      0.2072,
      0.0288,
      0.0288,
      0.4496,
      0.1504,
      0.0958,
      0.16,
      0.367,
      0.1277,
      0.3758,
      0.3476,
      0.0696,
      0.4112,
      0.1162,
      0.1496,
      0.2033,
      0.1964,
      0.4585,
      0.2797,
      0.4143,
      0.336,
      0.5756,
      0.4243,
      0.3746,
      0.5789,
      0.6431,
      0.7227,
      0.5204,
      0.5932,
      0.5955,
      0.3792,
      0.6272,
      0.5727,
      0.4043,
      0.5415,
      0.5201,
      0.4417,
      0.3592,
      0.6076,
      0.5768,
      0.37,
      0.6066,
      0.4613,
      0.2442,
      0.5808,
      0.4048,
      0.5461,
      0.3963,
      0.3326,
      0.523,
      0.6251,
      0.6825,
      0.484,
      0.5035,
      0.5552,
      0.3993,
      0.5732,
      0.5874,
      0.3898,
      0.5796,
      0.7695,
      0.4165,
      0.3111,
      0.0431,
      0.3671,
      0.0875,
      0.2095,
      0.13,
      0.1016,
      0.3713,
      0.2177,
      0.4078,
      0.3754,
      0.2851,
      0.452,
      0.6808,
      0.6618,
      0.447,
      0.4747,
      0.4889,
      0.3594,
      0.5323,
      0.5822,
      0.5662,
      0.4817,
      0.5425,
      0.4925,
      0.6662,
      0.7578,
      0.5185,
      0.6381,
      0.549,
      0.3833,
      0.8289,
      0.5268,
      0.3009,
      0.4887,
      0.3592,
      0.2158,
      0.3713,
      0.1672,
      0,
      0.1479,
      0.0854,
      0.1832,
      0.2175,
      0.3919,
      0.3285,
      0.5204,
      0.4197,
      0.158,
      0.5662,
      0.176,
      0.1807,
      0.3411,
      0.1478,
      0.2637,
      0.096,
      0.573,
      0.3713,
      0.2833,
      0.5919,
      0.4754,
      0.1765,
      0.2982,
      0.6799,
      0.5893,
      0.3858,
      0.5015,
      0.468,
      0.292,
      0.5438,
      0.5122,
      0.4565,
      0.7436,
      0.5242,
      0.5109,
      0.6159,
      0.6583,
      0.4535,
      0.5358,
      0.5249,
      0.4249,
      0.5002,
      0.4309,
      0.6536,
      0.5506,
      0.3594,
      0.0479,
      0.7027,
      0.6544,
      0.562,
      0.7778,
      0.4764,
      0.4373,
      0.2348,
      0.5274,
      0.4653,
      0.3904,
      0.5387,
      0.5241,
      0.4408,
      0.0712,
      0.2682,
      0.0683,
      0.2271,
      0.3063,
      0.2156,
      0.4364,
      0.3532,
      0.561,
      0.4712,
      0.3541,
      0.5833,
      0.6623,
      0.7122,
      0.5258,
      0.5641,
      0.6352,
      0.4068,
      0.7623,
      0.528,
      0.4321,
      0.3483,
      0.5256,
      0.4591,
      0.4032,
      0.6139,
      0.6092,
      0.3984,
      0.6149,
      0.509,
      0.2974,
      0.8306,
      0.4306,
      0.5582,
      0.4227,
      0.3613,
      0.5427,
      0.6428,
      0.7021,
      0.5071,
      0.5373,
      0.5638,
      0.3698,
      0.5465,
      0.8091,
      0.42,
      0.4635,
      0.4858,
      0.4377,
      0.2902,
      0.2523,
      0.1699,
      0.1076,
      0.3454,
      0.1293,
      0.3359,
      0.4033,
      0.4756,
      0.5346,
      0.4525,
      0.3056,
      0.1156,
      0.646,
      0.6766,
      0.4621,
      0.5241,
      0.544,
      0.4473,
      0.5404,
      0.5804,
      0.525,
      0.5236,
      0.5738,
      0.4249,
      0.6975,
      0.684,
      0.5362,
      0.8178,
      0.5336,
      0.433,
      0.2345,
      0.5129,
      0.3718,
      0.4896,
      0.3818,
      0.246,
      0.3912,
      0.109,
      0.277,
      0.1324,
      0.1381,
      0.2737,
      0.2701,
      0.4114,
      0.3928,
      0.5583,
      0.4666,
      0.1877,
      0.5817,
      0.1823,
      0.2333,
      0.4518,
      0.3021,
      0.1586,
      0.4935,
      0.6285,
      0.3984,
      0.1411,
      0.4052,
      0.3622,
      0.1078,
      0,
      0,
      0.2605,
      0.4155,
      0.3314,
      0.4043,
      0.1044,
      0.1176,
      0,
      0.0367,
      0.0476,
      0.1389,
      0.0442,
      0,
      0.0184,
      0.0303,
      0.311,
      0.3488,
      0.3389,
      0.0255,
      0.0418,
      0,
      0.0587,
      0.083,
      0.0309,
      0,
      0.0975,
      0.2068,
      0.1021,
      0.1203,
      0.6913,
      0.4744,
      0.2806,
      0.5055,
      0.5033,
      0.3602,
      0.5321,
      0.5176,
      0.0472,
      0.5589,
      0.1727,
      0.1375,
      0.6117,
      0.5408,
      0.6009,
      0.5945,
      0.6798,
      0.5484,
      0.6669,
      0.5673,
      0.4947,
      0.7289,
      0.5681,
      0.5322,
      0.4297,
      0.6749,
      0.5509,
      0.3097,
      0.7295,
      0.5835,
      0.3804,
      0.6073,
      0.5329,
      0.306,
      0.5048,
      0.5509,
      0.4631,
      0.251,
      0.5489,
      0.5101,
      0.5594,
      0.6033,
      0.4438,
      0.6168,
      0.5357,
      0.4718,
      0.6565,
      0.5475,
      0.5592,
      0.4173,
      0.5872,
      0.4747,
      0.706,
      0.6553,
      0.5536,
      0.222,
      0.7097,
      0.741,
      0.2136,
      0.4426,
      0.1698,
      0.3661,
      0.1513,
      0.5154,
      0.3188,
      0.5305,
      0.5193,
      0.3641,
      0.5632,
      0.5906,
      0.404,
      0.5983,
      0.6469,
      0.568,
      0.3874,
      0.5239,
      0.4626,
      0.6538,
      0.5925,
      0.4893,
      0.7222,
      0.6197,
      0.5203,
      0.5858,
      0.5689,
      0.7539,
      0.4522,
      0.682,
      0.5279,
      0.4535,
      0.7845,
      0.5084,
      0.3039,
      0.5514,
      0.5165,
      0.3435,
      0.5135,
      0.164,
      0.0762,
      0.4259,
      0.5189,
      0.4414,
      0.6011,
      0.5378,
      0.4997,
      0.6534,
      0.5646,
      0.3178,
      0.7085,
      0.2865,
      0.5043,
      0.3648,
      0.6261,
      0.5367,
      0.3475,
      0.7453,
      0.5491,
      0.4365,
      0.6836,
      0.5115,
      0.291,
      0.4441,
      0.5871,
      0.4475,
      0.2579,
      0.5144,
      0.3329,
      0.5519,
      0.5744,
      0.432,
      0.586,
      0.7071,
      0.3287,
      0.64,
      0.5369,
      0.5396,
      0.3359,
      0.6011,
      0.5794,
      0.7107,
      0.6226,
      0.4897,
      0.6342,
      0.676,
      0.5006,
      0.1814,
      0.6261,
      0.5678,
      0.4306,
      0.7557,
      0.4962,
      0.3225,
      0.5277,
      0.5618,
      0.3791,
      0.5924,
      0.5586,
      0.565,
      0.5776,
      0.415,
      0.1745,
      0.1219,
      0.5338,
      0.4555,
      0.6439,
      0.624,
      0.4931,
      0.7236,
      0.5905,
      0.5217,
      0.6843,
      0.5802,
      0.6493,
      0.4196,
      0.6809,
      0.6165,
      0.2954,
      0.7396,
      0.5394,
      0.3,
      0.4952,
      0.5442,
      0.3014,
      0.5436,
      0.5669,
      0.5283,
      0.4277,
      0.5981,
      0.5266,
      0.5737,
      0.8003,
      0.48,
      0.6412,
      0.5492,
      0.4824,
      0.6778,
      0.5679,
      0.5945,
      0.5252,
      0.4924,
      0.5015,
      0.351,
      0.5664,
      0.7586,
      0.4371,
      0.4024,
      0.3276,
      0.3271,
      0.2785,
      0.5856,
      0.1766,
      0.3346,
      0.5254,
      0.4443,
      0.576,
      0.6441,
      0.5647,
      0.586,
      0.5286,
      0.4528,
      0.2373,
      0.6269,
      0.5364,
      0.3649,
      0.5481,
      0.4087,
      0.7046,
      0.6171,
      0.5117,
      0.6027,
      0.6683,
      0.5229,
      0.2899,
      0.6019,
      0.6738,
      0.4433,
      0.8222,
      0.5566,
      0.4681,
      0.5192,
      0.5377,
      0.3609,
      0.5662,
      0.5136,
      0.3962,
      0.5477,
      0.1895,
      0.1344,
      0.4593,
      0.5879,
      0.4586,
      0.6328,
      0.5413,
      0.618,
      0.6958,
      0.5933,
      0.336,
      0.7091,
      0.3387,
      0.5758,
      0.1174,
      0.6571,
      0.5843,
      0.2498,
      0.7264,
      0.5673,
      0.4919,
      0.5316,
      0.5061,
      0.25,
      0,
      0,
      0.1362,
      0.3921,
      0.2369,
      0.3606,
      0.5163,
      0.3383,
      0.1422,
      0.0393,
      0.0691,
      0.2845,
      0.1913,
      0,
      0.0043,
      0.0518,
      0.1858,
      0.5815,
      0.5262,
      0.5373,
      0.003,
      0.0072,
      0.1475,
      0.0558,
      0.0513,
      0,
      0.0862,
      0.5729,
      0.4059,
      0.0774,
      0.6943,
      0.4412,
      0.2379,
      0.4656,
      0.4419,
      0.3804,
      0.4826,
      0.4646,
      0.0639,
      0.5007,
      0.4304,
      0.6376,
      0.4883,
      0.6137,
      0.6314,
      0.5536,
      0.6486,
      0.6469,
      0.6602,
      0.5571,
      0.5431,
      0.6325,
      0.5604,
      0.4646,
      0.5747,
      0.6136,
      0.4303,
      0.2586,
      0.6863,
      0.5189,
      0.4672,
      0.4475,
      0.452,
      0.2283,
      0.4682,
      0.4388,
      0.1946,
      0.4423,
      0.4965,
      0.3987,
      0.5013,
      0.5052,
      0.3683,
      0.5617,
      0.4872,
      0.4111,
      0.5899,
      0.4672,
      0.4493,
      0.5708,
      0.5352,
      0.4195,
      0.5051,
      0.6183,
      0.4942,
      0.6143,
      0.6657,
      0.6442,
      0.0858,
      0.6451,
      0.581,
      0.5207,
      0.4367,
      0.4331,
      0.29,
      0.4769,
      0.4656,
      0.4719,
      0.6573,
      0.5058,
      0.5203,
      0.5417,
      0.5594,
      0.5026,
      0.5316,
      0.5594,
      0.575,
      0.624,
      0.5378,
      0.4586,
      0.6608,
      0.5784,
      0.3937,
      0.4521,
      0.57,
      0.6982,
      0.4844,
      0.7207,
      0.5725,
      0.3789,
      0.7196,
      0.4541,
      0.2765,
      0.4722,
      0.4532,
      0.33,
      0.4816,
      0.4403,
      0.2083,
      0.4672,
      0.4644,
      0.3811,
      0.5279,
      0.4383,
      0.4335,
      0.6055,
      0.521,
      0.283,
      0.6842,
      0.5793,
      0.3359,
      0.6427,
      0.6605,
      0.5389,
      0.4871,
      0.6467,
      0.5368,
      0.5394,
      0.492,
      0.4408,
      0.5774,
      0.4082,
      0.433,
      0.269,
      0.4402,
      0.4894,
      0.3346,
      0.4977,
      0.4626,
      0.5072,
      0.5487,
      0.5906,
      0.5279,
      0.6011,
      0.4633,
      0.3999,
      0.5781,
      0.5241,
      0.4652,
      0.6424,
      0.6475,
      0.4132,
      0.5773,
      0.6598,
      0.3849,
      0.2688,
      0.6253,
      0.4162,
      0.2355,
      0.6928,
      0.4367,
      0.2933,
      0.4558,
      0.4512,
      0.3152,
      0.6796,
      0.4417,
      0.2581,
      0.5451,
      0.5999,
      0.518,
      0.5047,
      0.4998,
      0.4507,
      0.6091,
      0.5413,
      0.3998,
      0.6992,
      0.6765,
      0.5864,
      0.4789,
      0.5071,
      0.5615,
      0.2333,
      0.696,
      0.5824,
      0.2149,
      0.6213,
      0.4506,
      0.3978,
      0.455,
      0.4513,
      0.22,
      0.4948,
      0.4551,
      0.5311,
      0.6045,
      0.5075,
      0.5376,
      0.522,
      0.7384,
      0.3954,
      0.5956,
      0.503,
      0.4235,
      0.632,
      0.4492,
      0.4052,
      0.5558,
      0.6835,
      0.5511,
      0.5138,
      0.5771,
      0.6749,
      0.5221,
      0.4132,
      0.444,
      0.5578,
      0.3244,
      0.4249,
      0.4924,
      0.5179,
      0.6278,
      0.598,
      0.7013,
      0.6083,
      0.6431,
      0.5172,
      0.4882,
      0.4058,
      0.2954,
      0.5935,
      0.3501,
      0.5621,
      0.4984,
      0.405,
      0.706,
      0.5742,
      0.5473,
      0.4824,
      0.6181,
      0.6289,
      0.2185,
      0.5854,
      0.6479,
      0.4158,
      0.7314,
      0.4611,
      0.3453,
      0.4598,
      0.4496,
      0.3067,
      0.5558,
      0.4417,
      0.6452,
      0.6086,
      0.5799,
      0.5011,
      0.5016,
      0.5355,
      0.6249,
      0.5976,
      0.5783,
      0.5097,
      0.6651,
      0.5494,
      0.3103,
      0.5331,
      0.6458,
      0.5487,
      0.3687,
      0.661,
      0.6577,
      0.1971,
      0.591,
      0.5904,
      0.5075,
      0.454,
      0.4372,
      0.2246,
      0,
      0,
      0.2392,
      0.5364,
      0.2788,
      0.5161,
      0.5375,
      0.4825,
      0.3315,
      0.2835,
      0.3129,
      0.3654,
      0.2662,
      0.0306,
      0.3031,
      0.3609,
      0.3766,
      0.4054,
      0.5251,
      0.3636,
      0.3329,
      0.5104,
      0.2617,
      0.3725,
      0.348,
      0.0904,
      0.3533,
      0.707,
      0.5589,
      0.311,
      0.5593,
      0.6339,
      0.4372,
      0.6148,
      0.6189,
      0.5142,
      0.6003,
      0.6008,
      0.4178,
      0.6376,
      0.5939,
      0.6502,
      0.6619,
      0.5306,
      0.5716,
      0.7058,
      0.5916,
      0.6081,
      0.7393,
      0.7086,
      0.5567,
      0.6414,
      0.6488,
      0.5599,
      0.6433,
      0.7705,
      0.5395,
      0.3406,
      0.6299,
      0.5823,
      0.6469,
      0.5649,
      0.5737,
      0.5035,
      0.6021,
      0.5583,
      0.2699,
      0.5949,
      0.5729,
      0.4823,
      0.6262,
      0.5954,
      0.6139,
      0.6943,
      0.6189,
      0.5542,
      0.7295,
      0.6157,
      0.5519,
      0.7122,
      0.666,
      0.5446,
      0.4716,
      0.7319,
      0.5472,
      0.4145,
      0.7342,
      0.6044,
      0.0179,
      0.7632,
      0.5841,
      0.4753,
      0.5842,
      0.6187,
      0.5614,
      0.606,
      0.652,
      0.6499,
      0.6484,
      0.6146,
      0.5281,
      0.6848,
      0.5552,
      0.6281,
      0.6688,
      0.6925,
      0.5997,
      0.7282,
      0.672,
      0.5461,
      0.5239,
      0.7014,
      0.5001,
      0.4625,
      0.7109,
      0.6587,
      0.2068,
      0.5809,
      0.5897,
      0.4067,
      0.6537,
      0.6016,
      0.4942,
      0.6074,
      0.5777,
      0.4846,
      0.6186,
      0.5842,
      0.3669,
      0.6204,
      0.6147,
      0.5138,
      0.5883,
      0.5518,
      0.5892,
      0.7294,
      0.6396,
      0.4312,
      0.7308,
      0.6966,
      0.6604,
      0.7461,
      0.7273,
      0.6855,
      0.6491,
      0.7065,
      0.6252,
      0.6071,
      0.6062,
      0.5412,
      0.5058,
      0.5461,
      0.5718,
      0.2207,
      0.5911,
      0.5344,
      0.4476,
      0.6188,
      0.6002,
      0.5985,
      0.6784,
      0.622,
      0.5671,
      0.7214,
      0.61,
      0.421,
      0.7155,
      0.6499,
      0.555,
      0.5261,
      0.7466,
      0.5584,
      0.5241,
      0.7598,
      0.5786,
      0.4332,
      0.7441,
      0.5799,
      0.1469,
      0.5847,
      0.5536,
      0.3939,
      0.5826,
      0.5819,
      0.5047,
      0.6359,
      0.5817,
      0.2089,
      0.6747,
      0.589,
      0.4229,
      0.6543,
      0.6307,
      0.6416,
      0.7186,
      0.6701,
      0.6802,
      0.6917,
      0.6956,
      0.5621,
      0.484,
      0.6969,
      0.6548,
      0.3975,
      0.6821,
      0.5361,
      0.3398,
      0.5913,
      0.5715,
      0.4924,
      0.5905,
      0.5827,
      0.4813,
      0.6232,
      0.5776,
      0.3234,
      0.6165,
      0.6006,
      0.5429,
      0.6664,
      0.6606,
      0.5395,
      0.7173,
      0.6375,
      0.546,
      0.7443,
      0.6455,
      0.6658,
      0.6934,
      0.5911,
      0.6729,
      0.6663,
      0.6075,
      0.5884,
      0.6658,
      0.626,
      0.5271,
      0.5756,
      0.4055,
      0.6686,
      0.564,
      0.6952,
      0.6057,
      0.6744,
      0.6448,
      0.6382,
      0.6316,
      0.6568,
      0.6467,
      0.5371,
      0.5688,
      0.6126,
      0.4635,
      0.6993,
      0.6386,
      0.5251,
      0.5365,
      0.6971,
      0.5544,
      0.4322,
      0.7281,
      0.4758,
      0.3215,
      0.747,
      0.6184,
      0.3554,
      0.667,
      0.5473,
      0.348,
      0.5804,
      0.5907,
      0.4481,
      0.6189,
      0.5832,
      0.4622,
      0.6541,
      0.64,
      0.5475,
      0.6437,
      0.6198,
      0.5567,
      0.7152,
      0.6559,
      0.6174,
      0.725,
      0.681,
      0.4455,
      0.4138,
      0.6863,
      0.5667,
      0.4507,
      0.7462,
      0.5363,
      0.3119,
      0.5463,
      0.6222,
      0.5208,
      0.5917,
      0.5677,
      0.357,
      0,
      0,
      0.2659,
      0.6227,
      0.4263,
      0.4744,
      0.5012,
      0.5096,
      0.5586,
      0.6162,
      0.4445,
      0.7103,
      0.4631,
      0.1951,
      0.6628,
      0.6362,
      0.6297,
      0.624,
      0.6403,
      0.5799,
      0.6621,
      0.5558,
      0.6095,
      0.5943,
      0.5979,
      0.4422,
      0.6477,
      0.6712,
      0.7122,
      0.5665,
      0.6311,
      0.6318,
      0.5234,
      0.6072,
      0.6726,
      0.577,
      0.6067,
      0.694,
      0.4984,
      0.6272,
      0.6726,
      0.6327,
      0.6553,
      0.5786,
      0.6159,
      0.6519,
      0.6878,
      0.5658,
      0.6996,
      0.69,
      0.5317,
      0.6376,
      0.6037,
      0.6346,
      0.5616,
      0.7511,
      0.5323,
      0.3328,
      0.6419,
      0.5619,
      0.7108,
      0.5293,
      0.5657,
      0.4603,
      0.5645,
      0.6332,
      0.3116,
      0.5499,
      0.5588,
      0.5452,
      0.5903,
      0.6243,
      0.555,
      0.6453,
      0.5888,
      0.505,
      0.6808,
      0.6109,
      0.6114,
      0.6984,
      0.679,
      0.661,
      0.4322,
      0.6959,
      0.5106,
      0.561,
      0.6691,
      0.5777,
      0.0689,
      0.6039,
      0.708,
      0.6701,
      0.5388,
      0.6201,
      0.5737,
      0.667,
      0.6966,
      0.3499,
      0.615,
      0.5415,
      0.476,
      0.6187,
      0.6504,
      0.5916,
      0.6518,
      0.5856,
      0.6128,
      0.7065,
      0.6776,
      0.5348,
      0.6273,
      0.6877,
      0.521,
      0.6887,
      0.7043,
      0.6536,
      0.2623,
      0.6071,
      0.5649,
      0.414,
      0.5888,
      0.5564,
      0.6379,
      0.5912,
      0.5818,
      0.6513,
      0.6673,
      0.6209,
      0.5971,
      0.5638,
      0.6264,
      0.5896,
      0.5926,
      0.5401,
      0.6308,
      0.6991,
      0.5621,
      0.6698,
      0.7256,
      0.7268,
      0.6754,
      0.6836,
      0.6839,
      0.6253,
      0.6131,
      0.5941,
      0.6673,
      0.3813,
      0.5923,
      0.7087,
      0.4202,
      0.6742,
      0.6205,
      0.2945,
      0.5411,
      0.6697,
      0.4439,
      0.5829,
      0.588,
      0.4667,
      0.6149,
      0.5618,
      0.4978,
      0.6723,
      0.4866,
      0.3773,
      0.6912,
      0.6033,
      0.4781,
      0.5256,
      0.6421,
      0.4947,
      0.5844,
      0.7206,
      0.5259,
      0.418,
      0.6884,
      0.5533,
      0.448,
      0.4932,
      0.5036,
      0.3804,
      0.5354,
      0.5357,
      0.4243,
      0.644,
      0.5064,
      0.5415,
      0.6688,
      0.7275,
      0.7185,
      0.6162,
      0.6435,
      0.6452,
      0.6778,
      0.7432,
      0.6837,
      0.6508,
      0.6494,
      0.4894,
      0.521,
      0.6402,
      0.6051,
      0.4305,
      0.6544,
      0.5395,
      0.2526,
      0.5722,
      0.5051,
      0.5492,
      0.6356,
      0.6773,
      0.5139,
      0.6448,
      0.6081,
      0.5069,
      0.5974,
      0.6408,
      0.6036,
      0.6332,
      0.5798,
      0.468,
      0.652,
      0.5623,
      0.5468,
      0.7519,
      0.7212,
      0.7145,
      0.6326,
      0.6057,
      0.6147,
      0.6381,
      0.6299,
      0.6351,
      0.4658,
      0.6559,
      0.7589,
      0.4756,
      0.6856,
      0.636,
      0.6937,
      0.5953,
      0.5873,
      0.5837,
      0.6519,
      0.5851,
      0.5297,
      0.6538,
      0.7254,
      0.5289,
      0.6722,
      0.5904,
      0.4513,
      0.6662,
      0.5976,
      0.4894,
      0.5365,
      0.6492,
      0.499,
      0.5392,
      0.7051,
      0.4621,
      0.534,
      0.7284,
      0.5663,
      0.3528,
      0.592,
      0.5605,
      0.5851,
      0.5441,
      0.6361,
      0.6407,
      0.5667,
      0.6545,
      0.428,
      0.5888,
      0.5076,
      0.5127,
      0.5971,
      0.5553,
      0.6408,
      0.663,
      0.5914,
      0.5517,
      0.6336,
      0.6803,
      0.5286,
      0.4423,
      0.6604,
      0.5261,
      0.1627,
      0.7126,
      0.4484,
      0.5821,
      0.5541,
      0.6362,
      0.4445,
      0.5337,
      0.5078,
      0.3094,
      0,
      0,
      0.2903,
      0.1938,
      0.2483,
      0.5929,
      0.6582,
      0.2762,
      0.6198,
      0.2269,
      0.3975,
      0.337,
      0.2276,
      0.4565,
      0.2774,
      0.091,
      0.2079,
      0.2058,
      0.5376,
      0.666,
      0.3379,
      0.3971,
      0.6665,
      0.176,
      0.6387,
      0.5882,
      0.2803,
      0.5133,
      0.3365,
      0.1765,
      0.5174,
      0.6529,
      0.575,
      0.6569,
      0.5016,
      0.3267,
      0.7154,
      0.5351,
      0.2811,
      0.6613,
      0.3999,
      0.5426,
      0.5471,
      0.7268,
      0.6785,
      0.6309,
      0.5472,
      0.4531,
      0.5842,
      0.5655,
      0.4871,
      0.5251,
      0.447,
      0.4868,
      0.4985,
      0.716,
      0.5112,
      0.2613,
      0.7024,
      0.6692,
      0.5563,
      0.5825,
      0.4787,
      0.6096,
      0.468,
      0.3656,
      0.5539,
      0.4352,
      0.49,
      0.4376,
      0.5934,
      0.5411,
      0.5747,
      0.562,
      0.5363,
      0.6936,
      0.6053,
      0.4017,
      0.4107,
      0.598,
      0.601,
      0.4904,
      0.4371,
      0.6254,
      0.4048,
      0.5407,
      0.6222,
      0.6327,
      0.1836,
      0.5363,
      0.5091,
      0.576,
      0.6566,
      0.7145,
      0.6533,
      0.5557,
      0.5407,
      0.5889,
      0.5386,
      0.5107,
      0.3863,
      0.6408,
      0.4234,
      0.3518,
      0.4708,
      0.6727,
      0.6375,
      0.7145,
      0.582,
      0.6323,
      0.5921,
      0.5889,
      0.505,
      0.5746,
      0.4912,
      0.5707,
      0.2527,
      0.5015,
      0.6136,
      0.3001,
      0.6745,
      0.5252,
      0.3601,
      0.6877,
      0.5147,
      0.6176,
      0.6824,
      0.3701,
      0.2418,
      0.3805,
      0.6815,
      0.69,
      0.6764,
      0.5229,
      0.5905,
      0.5957,
      0.537,
      0.6176,
      0.5954,
      0.4395,
      0.5976,
      0.4693,
      0.7037,
      0.5612,
      0.7034,
      0.6586,
      0.4839,
      0.5081,
      0.7517,
      0.4772,
      0.5189,
      0.421,
      0.3556,
      0.4338,
      0.3903,
      0.5487,
      0.4855,
      0.5843,
      0.5258,
      0.4358,
      0.5464,
      0.5676,
      0.5589,
      0.5874,
      0.4169,
      0.2481,
      0.5554,
      0.61,
      0.4782,
      0.5461,
      0.5989,
      0.5346,
      0.4155,
      0.5655,
      0.4908,
      0.4146,
      0.5804,
      0.3441,
      0.6337,
      0.4399,
      0.5128,
      0.4613,
      0.5254,
      0.5285,
      0.4641,
      0.5929,
      0.4513,
      0.6467,
      0.6229,
      0.4636,
      0.4928,
      0.6614,
      0.7445,
      0.6892,
      0.6777,
      0.6614,
      0.5671,
      0.5313,
      0.5863,
      0.4972,
      0.6063,
      0.4797,
      0.4412,
      0.1106,
      0.5723,
      0.7066,
      0.2889,
      0.7202,
      0.5716,
      0.4159,
      0.7199,
      0.4954,
      0.4301,
      0.6069,
      0.3985,
      0.3438,
      0.405,
      0.7007,
      0.4374,
      0.7168,
      0.5765,
      0.5516,
      0.5868,
      0.5559,
      0.6233,
      0.6096,
      0.2559,
      0.5673,
      0.5786,
      0.6563,
      0.612,
      0.6773,
      0.5689,
      0.6228,
      0.5204,
      0.6848,
      0.3199,
      0.2847,
      0.6888,
      0.5069,
      0.4176,
      0.4149,
      0.6456,
      0.5172,
      0.7187,
      0.4854,
      0.5491,
      0.5421,
      0.5341,
      0.4354,
      0.3141,
      0.4457,
      0.4112,
      0.5129,
      0.6179,
      0.4883,
      0.5271,
      0.6684,
      0.4767,
      0.5039,
      0.5723,
      0.4114,
      0.2816,
      0.6015,
      0.6037,
      0.2517,
      0.6481,
      0.4941,
      0.4476,
      0.5399,
      0.5707,
      0.5844,
      0.5152,
      0.5451,
      0.3712,
      0.4493,
      0.4321,
      0.5286,
      0.5179,
      0.5704,
      0.6135,
      0.6741,
      0.6624,
      0.5462,
      0.6493,
      0.5764,
      0.3284,
      0.5964,
      0.5653,
      0.5307,
      0.4828,
      0.6984,
      0.6233,
      0.2424,
      0.6304,
      0.4937,
      0.3453,
      0.5116,
      0.4875,
      0.2256,
      0,
      0,
      0.2275,
      0.4376,
      0.2778,
      0.6063,
      0.2437,
      0.1905,
      0.2667,
      0.2384,
      0.3082,
      0.1887,
      0.2556,
      0.5606,
      0.203,
      0.1396,
      0.2638,
      0.4261,
      0.3926,
      0.2941,
      0.1224,
      0.3558,
      0.4458,
      0.1961,
      0.5123,
      0.2871,
      0.2197,
      0.6962,
      0.509,
      0.0876,
      0.5828,
      0.5196,
      0.3485,
      0.5953,
      0.5636,
      0.5147,
      0.4265,
      0.4182,
      0.1327,
      0.4971,
      0.5334,
      0.4134,
      0.6279,
      0.5756,
      0.5097,
      0.5748,
      0.7061,
      0.6024,
      0.6152,
      0.5269,
      0.4428,
      0.5886,
      0.6397,
      0.4842,
      0.5789,
      0.6213,
      0.4951,
      0.2293,
      0.6726,
      0.5384,
      0.6304,
      0.5592,
      0.473,
      0.3034,
      0.455,
      0.5307,
      0.2722,
      0.5634,
      0.4749,
      0.3654,
      0.5426,
      0.6703,
      0.5104,
      0.5658,
      0.4851,
      0.4113,
      0.6169,
      0.5801,
      0.4853,
      0.7467,
      0.546,
      0.4801,
      0.5849,
      0.605,
      0.5421,
      0.6515,
      0.6839,
      0.5108,
      0.2938,
      0.4564,
      0.6836,
      0.6185,
      0.5225,
      0.5102,
      0.4271,
      0.5131,
      0.5983,
      0.3349,
      0.4938,
      0.5868,
      0.3907,
      0.5358,
      0.5116,
      0.5031,
      0.6447,
      0.535,
      0.4897,
      0.6261,
      0.5226,
      0.4377,
      0.617,
      0.5818,
      0.3666,
      0.4087,
      0.672,
      0.5189,
      0.4662,
      0.6352,
      0.4902,
      0.2445,
      0.4892,
      0.4504,
      0.3483,
      0.5692,
      0.4959,
      0.3645,
      0.5192,
      0.5348,
      0.3506,
      0.4841,
      0.5247,
      0.4999,
      0.5984,
      0.4655,
      0.5274,
      0.6144,
      0.5337,
      0.2798,
      0.6347,
      0.6145,
      0.5246,
      0.5747,
      0.5419,
      0.5758,
      0.4355,
      0.6843,
      0.6468,
      0.3404,
      0.5826,
      0.4543,
      0.5602,
      0.4972,
      0.5094,
      0.288,
      0.5545,
      0.5565,
      0.3535,
      0.5347,
      0.546,
      0.3992,
      0.5257,
      0.472,
      0.5458,
      0.604,
      0.5811,
      0.4115,
      0.6883,
      0.5744,
      0.4604,
      0.6577,
      0.6113,
      0.4274,
      0.5458,
      0.6508,
      0.486,
      0.436,
      0.461,
      0.5148,
      0.1976,
      0.5868,
      0.4865,
      0.2983,
      0.5122,
      0.4938,
      0.4661,
      0.6093,
      0.5998,
      0.532,
      0.5357,
      0.5898,
      0.6051,
      0.6365,
      0.5409,
      0.4472,
      0.5845,
      0.6015,
      0.5869,
      0.6182,
      0.5556,
      0.4594,
      0.431,
      0.6704,
      0.5639,
      0.2193,
      0.5633,
      0.4998,
      0.2296,
      0.5457,
      0.4639,
      0.317,
      0.497,
      0.4615,
      0.314,
      0.4754,
      0.5156,
      0.5255,
      0.5905,
      0.5139,
      0.4191,
      0.5587,
      0.5777,
      0.4603,
      0.5921,
      0.4999,
      0.5148,
      0.6153,
      0.2566,
      0.5252,
      0.6429,
      0.5171,
      0.5466,
      0.4015,
      0.6784,
      0.6381,
      0.3442,
      0.4551,
      0.3617,
      0.346,
      0.2899,
      0.5562,
      0.5298,
      0.588,
      0.6138,
      0.3782,
      0.5859,
      0.7034,
      0.4394,
      0.5235,
      0.4679,
      0.4043,
      0.32,
      0.5783,
      0.4873,
      0.6209,
      0.5233,
      0.466,
      0.6023,
      0.5621,
      0.4002,
      0.5158,
      0.6135,
      0.4194,
      0.1444,
      0.5995,
      0.5134,
      0.1962,
      0.6163,
      0.4874,
      0.3195,
      0.6401,
      0.4727,
      0.3183,
      0.5035,
      0.4525,
      0.3601,
      0.486,
      0.5757,
      0.6429,
      0.6335,
      0.7234,
      0.4456,
      0.6015,
      0.6168,
      0.5174,
      0.6259,
      0.546,
      0.3059,
      0.4819,
      0.6932,
      0.5562,
      0.5554,
      0.691,
      0.6263,
      0.1931,
      0.6309,
      0.5332,
      0.4035,
      0.4601,
      0.4305,
      0.2064,
      0,
      0,
      0.1369,
      0.1837,
      0.1696,
      0.496,
      0.3318,
      0.1951,
      0.1492,
      0.095,
      0.1394,
      0.2045,
      0.1217,
      0.2869,
      0.2046,
      0.1625,
      0.1114,
      0.5332,
      0.5683,
      0.4113,
      0.1845,
      0.2191,
      0.2107,
      0.2077,
      0.1864,
      0.1203,
      0.1903,
      0.6441,
      0.4847,
      0.1218,
      0.437,
      0.4572,
      0.2785,
      0.4287,
      0.3811,
      0.3224,
      0.297,
      0.4936,
      0.0498,
      0.3269,
      0.5136,
      0.4178,
      0.4867,
      0.6325,
      0.4906,
      0.5574,
      0.5405,
      0.6514,
      0.493,
      0.3758,
      0.4753,
      0.5417,
      0.6211,
      0.4654,
      0.4476,
      0.5536,
      0.4214,
      0.159,
      0.5733,
      0.5777,
      0.3347,
      0.3373,
      0.3427,
      0.4936,
      0.2692,
      0.4985,
      0.2484,
      0.5491,
      0.4861,
      0.3229,
      0.4834,
      0.5302,
      0.5818,
      0.4293,
      0.4021,
      0.5845,
      0.4947,
      0.5692,
      0.4639,
      0.5566,
      0.5334,
      0.4016,
      0.468,
      0.4665,
      0.3757,
      0.5152,
      0.48,
      0.4256,
      0.009,
      0.3633,
      0.5143,
      0.5112,
      0.512,
      0.6572,
      0.5822,
      0.4496,
      0.498,
      0.1711,
      0.5367,
      0.5003,
      0.5209,
      0.4031,
      0.5389,
      0.4191,
      0.6353,
      0.5294,
      0.4503,
      0.597,
      0.4053,
      0.3273,
      0.5417,
      0.4392,
      0.2736,
      0.4302,
      0.6513,
      0.49,
      0.6297,
      0.6367,
      0.4257,
      0.2296,
      0.5789,
      0.2864,
      0.1815,
      0.3519,
      0.3959,
      0.2452,
      0.2912,
      0.5321,
      0.3666,
      0.6754,
      0.4505,
      0.3737,
      0.5098,
      0.3354,
      0.3883,
      0.476,
      0.3457,
      0.3325,
      0.5497,
      0.6132,
      0.4516,
      0.5707,
      0.5903,
      0.4687,
      0.3247,
      0.4444,
      0.4025,
      0.3814,
      0.4545,
      0.3273,
      0.6117,
      0.2422,
      0.4781,
      0.2866,
      0.5439,
      0.5204,
      0.2866,
      0.4793,
      0.3662,
      0.5279,
      0.3928,
      0.384,
      0.4873,
      0.4619,
      0.5634,
      0.4055,
      0.6471,
      0.4779,
      0.3993,
      0.5618,
      0.5514,
      0.3933,
      0.4293,
      0.5215,
      0.4382,
      0.0952,
      0.4551,
      0.4859,
      0.1831,
      0.5813,
      0.4303,
      0.2717,
      0.558,
      0.399,
      0.2933,
      0.5637,
      0.4964,
      0.4238,
      0.3596,
      0.5583,
      0.5294,
      0.6209,
      0.5995,
      0.5871,
      0.5784,
      0.4045,
      0.3509,
      0.5851,
      0.5737,
      0.5774,
      0.4983,
      0.6411,
      0.4891,
      0.0771,
      0.5325,
      0.4316,
      0.1764,
      0.489,
      0.2748,
      0.1906,
      0.2628,
      0.3076,
      0.1904,
      0.289,
      0.5289,
      0.502,
      0.6043,
      0.3968,
      0.4519,
      0.5234,
      0.5323,
      0.2593,
      0.4936,
      0.3406,
      0.4716,
      0.4849,
      0.2874,
      0.3173,
      0.6247,
      0.5904,
      0.5569,
      0.377,
      0.5032,
      0.5461,
      0.4184,
      0.3488,
      0.3198,
      0.5265,
      0.2277,
      0.4983,
      0.1176,
      0.6279,
      0.5812,
      0.4681,
      0.6351,
      0.5415,
      0.6436,
      0.4159,
      0.2893,
      0.2235,
      0.2661,
      0.5547,
      0.46,
      0.6574,
      0.5224,
      0.386,
      0.5578,
      0.4302,
      0.5537,
      0.4976,
      0.5011,
      0.5602,
      0.196,
      0.4982,
      0.4906,
      0.1355,
      0.5761,
      0.4117,
      0.2711,
      0.5204,
      0.4189,
      0.2072,
      0.4877,
      0.4892,
      0.4941,
      0.3898,
      0.5716,
      0.5013,
      0.6173,
      0.4772,
      0.4964,
      0.5746,
      0.5379,
      0.4825,
      0.5276,
      0.4152,
      0.264,
      0.5376,
      0.6155,
      0.5035,
      0.3058,
      0.6301,
      0.503,
      0.6169,
      0.5694,
      0.4819,
      0.2341,
      0.2508,
      0.236,
      0.0125,
      0,
      0,
      0.0862,
      0.3317,
      0.2076,
      0.3381,
      0.4128,
      0.3082,
      0.1659,
      0.1402,
      0.1203,
      0.2704,
      0.227,
      0.2173,
      0.2309,
      0.1517,
      0.25,
      0.4919,
      0.3795,
      0.5147,
      0.1731,
      0.133,
      0.1608,
      0.1596,
      0.2132,
      0.0715,
      0.1875,
      0.6728,
      0.4357,
      0.2359,
      0.5337,
      0.3873,
      0.2642,
      0.3833,
      0.3179,
      0.1891,
      0.2016,
      0.5068,
      0.1341,
      0.2744,
      0.4884,
      0.4839,
      0.6375,
      0.6002,
      0.4987,
      0.5482,
      0.3961,
      0.615,
      0.5471,
      0.3405,
      0.4904,
      0.375,
      0.5927,
      0.4443,
      0.3706,
      0.5624,
      0.4018,
      0.0608,
      0.5736,
      0.5851,
      0.3007,
      0.572,
      0.4295,
      0.4933,
      0.0628,
      0.46,
      0.2599,
      0.5142,
      0.4248,
      0.2892,
      0.4472,
      0.4139,
      0.5236,
      0.2508,
      0.583,
      0.4999,
      0.2963,
      0.5391,
      0.4196,
      0.5745,
      0.5251,
      0.355,
      0.4793,
      0.5729,
      0.4914,
      0.5532,
      0.5228,
      0.4161,
      0.0168,
      0.3207,
      0.4805,
      0.483,
      0.4815,
      0.6338,
      0.6054,
      0.411,
      0.4604,
      0.29,
      0.511,
      0.5305,
      0.4377,
      0.298,
      0.5111,
      0.4473,
      0.6128,
      0.4684,
      0.5215,
      0.5976,
      0.3999,
      0.3027,
      0.4323,
      0.2756,
      0.2693,
      0.4179,
      0.6559,
      0.5504,
      0.6478,
      0.7064,
      0.4579,
      0.2658,
      0.5116,
      0.2852,
      0.1889,
      0.242,
      0.4567,
      0.2401,
      0.3005,
      0.4977,
      0.3338,
      0.7138,
      0.4126,
      0.3533,
      0.509,
      0.293,
      0.3189,
      0.3315,
      0.2682,
      0.2764,
      0.3735,
      0.5869,
      0.4193,
      0.5123,
      0.4321,
      0.5353,
      0.4142,
      0.4221,
      0.3273,
      0.4897,
      0.3908,
      0.3969,
      0.5879,
      0.2507,
      0.4383,
      0.2497,
      0.5099,
      0.4459,
      0.2427,
      0.4419,
      0.4456,
      0.4717,
      0.1456,
      0.5121,
      0.4182,
      0.2683,
      0.5293,
      0.3706,
      0.6807,
      0.4395,
      0.378,
      0.5866,
      0.6044,
      0.4888,
      0.4187,
      0.4728,
      0.3855,
      0.4774,
      0.5165,
      0.4982,
      0.2334,
      0.5493,
      0.4149,
      0.2106,
      0.5194,
      0.481,
      0.2736,
      0.5248,
      0.3972,
      0.3805,
      0.3349,
      0.5688,
      0.5067,
      0.59,
      0.448,
      0.561,
      0.58,
      0.3175,
      0.267,
      0.5557,
      0.5179,
      0.589,
      0.4339,
      0.626,
      0.4521,
      0.1544,
      0.6332,
      0.3516,
      0.1229,
      0.4439,
      0.1828,
      0.1992,
      0.2731,
      0.3697,
      0.1687,
      0.2273,
      0.5156,
      0.3967,
      0.6027,
      0.4201,
      0.5014,
      0.5134,
      0.4665,
      0.1479,
      0.4575,
      0.3065,
      0.3673,
      0.3717,
      0.4062,
      0.3142,
      0.5282,
      0.5733,
      0.616,
      0.4439,
      0.4773,
      0.4177,
      0.4052,
      0.3421,
      0.3608,
      0.5694,
      0.3793,
      0.4696,
      0.3281,
      0.6927,
      0.5412,
      0.4748,
      0.6034,
      0.4037,
      0.6288,
      0.5967,
      0.3532,
      0.0417,
      0.2733,
      0.518,
      0.4209,
      0.6707,
      0.4866,
      0.3482,
      0.5727,
      0.309,
      0.5801,
      0.4939,
      0.5069,
      0.453,
      0.1561,
      0.3694,
      0.4946,
      0.1549,
      0.5808,
      0.4309,
      0.2189,
      0.3898,
      0.3888,
      0.2746,
      0.3879,
      0.4047,
      0.453,
      0.6303,
      0.5103,
      0.4879,
      0.5886,
      0.4578,
      0.4927,
      0.5713,
      0.4545,
      0.2637,
      0.4012,
      0.2318,
      0.2107,
      0.4927,
      0.5805,
      0.4293,
      0.1754,
      0.5859,
      0.4359,
      0.6001,
      0.4985,
      0.3661,
      0.2167,
      0.2235,
      0.1215,
      0,
      0,
      0,
      0.1524,
      0.5822,
      0.2991,
      0.5146,
      0.2808,
      0.2211,
      0.153,
      0.163,
      0.0525,
      0.2721,
      0.1798,
      0.0632,
      0.2121,
      0.1253,
      0.3203,
      0.2069,
      0.4622,
      0.2327,
      0.2051,
      0.1883,
      0.1143,
      0.2044,
      0.1663,
      0.0587,
      0.1715,
      0.4984,
      0.2732,
      0.2436,
      0.3816,
      0.3164,
      0.1658,
      0.3077,
      0.5027,
      0.4755,
      0.4413,
      0.5674,
      0.1596,
      0.4043,
      0.6593,
      0.2743,
      0.4134,
      0.4521,
      0.4416,
      0.6567,
      0.5276,
      0.43,
      0.52,
      0.5569,
      0.4306,
      0.5289,
      0.3688,
      0.3221,
      0.4254,
      0.3258,
      0.291,
      0.103,
      0.5829,
      0.3368,
      0.3797,
      0.5837,
      0.6222,
      0.2429,
      0.2822,
      0.366,
      0.304,
      0.2773,
      0.4768,
      0.1398,
      0.075,
      0.6706,
      0.5889,
      0.4539,
      0.55,
      0.3635,
      0.4929,
      0.3159,
      0.3325,
      0.4604,
      0.2033,
      0.2319,
      0.5327,
      0.4453,
      0.6364,
      0.5943,
      0.5401,
      0.5316,
      0,
      0.3921,
      0.2578,
      0.4383,
      0.2862,
      0.4505,
      0.274,
      0.1709,
      0.5739,
      0.4854,
      0.42,
      0.5186,
      0.3587,
      0.4823,
      0.5632,
      0.583,
      0.5347,
      0.4982,
      0.2786,
      0.3173,
      0.4052,
      0.3672,
      0.5604,
      0.4446,
      0.2341,
      0.4321,
      0.4167,
      0.5423,
      0.2737,
      0.5512,
      0.2112,
      0.1729,
      0.5205,
      0.4043,
      0.1677,
      0.354,
      0.4335,
      0.2431,
      0.4495,
      0.384,
      0.2022,
      0.315,
      0.293,
      0.197,
      0.328,
      0.5848,
      0.5392,
      0.5067,
      0.4372,
      0.2836,
      0.5254,
      0.6143,
      0.4209,
      0.4874,
      0.5413,
      0.6276,
      0.3887,
      0.5888,
      0.4787,
      0.5957,
      0.5578,
      0.5064,
      0.4796,
      0.3442,
      0.4297,
      0.0285,
      0.2775,
      0.5358,
      0.152,
      0.1177,
      0.5249,
      0.5231,
      0.3994,
      0.5115,
      0.3853,
      0.4735,
      0.3669,
      0.1303,
      0.5163,
      0.0394,
      0.4284,
      0.5672,
      0.5918,
      0.3156,
      0.604,
      0.5513,
      0.3488,
      0.6482,
      0.6108,
      0.4193,
      0.4221,
      0.4393,
      0.2799,
      0.1561,
      0.2172,
      0.4673,
      0.5473,
      0.4078,
      0.6397,
      0.5347,
      0.4227,
      0.3006,
      0.2511,
      0.3583,
      0.5745,
      0.4752,
      0.2967,
      0.447,
      0.4316,
      0.554,
      0.4704,
      0.4122,
      0.5496,
      0.6365,
      0.6356,
      0.4596,
      0.5453,
      0.3645,
      0.0976,
      0.5734,
      0.368,
      0.2219,
      0.3681,
      0.3481,
      0.2357,
      0.373,
      0.5214,
      0.3392,
      0.3512,
      0.3257,
      0.2289,
      0.3097,
      0.4749,
      0.2247,
      0.4899,
      0.4395,
      0.4414,
      0.5384,
      0.6158,
      0.4137,
      0.5112,
      0.4625,
      0.6222,
      0.3767,
      0.523,
      0.614,
      0.6039,
      0.4625,
      0.4379,
      0.5948,
      0.4287,
      0.3216,
      0.4903,
      0.6314,
      0.5633,
      0.6187,
      0.3625,
      0.5349,
      0.6097,
      0.3872,
      0.5804,
      0.2768,
      0.3128,
      0.4651,
      0.2432,
      0.4519,
      0.1563,
      0.12,
      0.4284,
      0.4122,
      0.3506,
      0.5208,
      0.4972,
      0.2866,
      0.1495,
      0.3667,
      0.4438,
      0.1985,
      0.4786,
      0.4047,
      0.2128,
      0.2712,
      0.4151,
      0.2412,
      0.3868,
      0.5124,
      0.1367,
      0.3573,
      0.5361,
      0.3897,
      0.4313,
      0.2226,
      0.1679,
      0.5238,
      0.5501,
      0.5054,
      0.5207,
      0.4326,
      0.2204,
      0.6113,
      0.4904,
      0.4488,
      0.3677,
      0.3245,
      0.2205,
      0.1981,
      0.5639,
      0.5635,
      0.3186,
      0.3458,
      0.3738,
      0,
      0,
      0,
      0.3697,
      0.491,
      0.3243,
      0.4062,
      0.3205,
      0.2768,
      0.0915,
      0.1558,
      0.2102,
      0.1533,
      0.2432,
      0.1782,
      0.1239,
      0.2442,
      0.4399,
      0.4955,
      0.4062,
      0.4957,
      0.2485,
      0.5367,
      0.1964,
      0.2073,
      0.2245,
      0.0604,
      0.2003,
      0.4157,
      0.2284,
      0.1993,
      0.5511,
      0.5199,
      0.2874,
      0.4952,
      0.3047,
      0.2443,
      0.2106,
      0.4991,
      0.3072,
      0.2207,
      0.2599,
      0.6361,
      0.6002,
      0.5946,
      0.3889,
      0.5931,
      0.2778,
      0.571,
      0.3062,
      0.3596,
      0.2665,
      0.6457,
      0.3669,
      0.435,
      0.4236,
      0.6039,
      0.3657,
      0.2378,
      0.6091,
      0.4388,
      0.3943,
      0.4564,
      0.4638,
      0.5863,
      0.0189,
      0.451,
      0.3672,
      0.1062,
      0.5391,
      0.2432,
      0.4266,
      0.4624,
      0.5731,
      0.1696,
      0.4921,
      0.4187,
      0.3157,
      0.2781,
      0.4215,
      0.4218,
      0.4636,
      0.414,
      0.6039,
      0.284,
      0.2734,
      0.3173,
      0.4743,
      0.3852,
      0.0159,
      0.2695,
      0.1782,
      0.45,
      0.2698,
      0.47,
      0.333,
      0.3655,
      0.5304,
      0.154,
      0.1738,
      0.6404,
      0.4704,
      0.5986,
      0.5165,
      0.4983,
      0.3055,
      0.4523,
      0.4342,
      0.5275,
      0.5391,
      0.2251,
      0.541,
      0.406,
      0.2064,
      0.4403,
      0.3209,
      0.5007,
      0.5635,
      0.5567,
      0.5283,
      0.102,
      0.4508,
      0.2469,
      0.3344,
      0.2303,
      0.4655,
      0.3772,
      0.3236,
      0.4139,
      0.1431,
      0.2891,
      0.431,
      0.454,
      0.4394,
      0.2398,
      0.3605,
      0.2693,
      0.2135,
      0.1625,
      0.3129,
      0.352,
      0.6366,
      0.4955,
      0.4943,
      0.4563,
      0.6111,
      0.4438,
      0.3171,
      0.1855,
      0.2909,
      0.1774,
      0.3438,
      0.4053,
      0.3834,
      0.0977,
      0.0256,
      0.5576,
      0.1739,
      0.4344,
      0.3598,
      0.3876,
      0.0273,
      0.3386,
      0.3712,
      0.2466,
      0.4621,
      0.18,
      0.4207,
      0.394,
      0.3888,
      0.6009,
      0.6143,
      0.3955,
      0.3618,
      0.3657,
      0.3606,
      0.2831,
      0.615,
      0.4177,
      0.1888,
      0.3976,
      0.4319,
      0.2341,
      0.4001,
      0.4222,
      0.2532,
      0.3327,
      0.4391,
      0.2726,
      0.3229,
      0.278,
      0.2855,
      0.3646,
      0.4067,
      0.5132,
      0.51,
      0.2541,
      0.4958,
      0.3806,
      0.1649,
      0.4671,
      0.6269,
      0.5168,
      0.4541,
      0.3199,
      0.5333,
      0.4354,
      0.1573,
      0.3857,
      0.2168,
      0.265,
      0.2269,
      0.4173,
      0.2647,
      0.1931,
      0.4847,
      0.4682,
      0.4795,
      0.396,
      0.4376,
      0.4524,
      0.3227,
      0.2069,
      0.3457,
      0.5688,
      0.4162,
      0.3929,
      0.4085,
      0.6245,
      0.5507,
      0.4765,
      0.4796,
      0.5996,
      0.3738,
      0.3912,
      0.1787,
      0.2816,
      0.2625,
      0.3414,
      0.3457,
      0.6079,
      0.3941,
      0.2541,
      0.6028,
      0.5492,
      0.4359,
      0.3396,
      0.3877,
      0.2682,
      0.207,
      0,
      0.5466,
      0.4014,
      0.2351,
      0.3659,
      0.4516,
      0.2656,
      0.5249,
      0.1973,
      0.3185,
      0.4508,
      0.2509,
      0.1909,
      0.4496,
      0.5523,
      0.4421,
      0.3208,
      0.542,
      0.627,
      0.3813,
      0.4191,
      0.3763,
      0.1648,
      0.1657,
      0.4691,
      0.1786,
      0.2886,
      0.2413,
      0.2985,
      0.5747,
      0.5322,
      0.3693,
      0.5782,
      0.2767,
      0.2275,
      0.4169,
      0.1451,
      0.0884,
      0.5521,
      0.3228,
      0.2949,
      0.1379,
      0.5196,
      0.4249,
      0.2541,
      0.3532,
      0.2027,
      0,
      0.0742,
      0,
      0,
      0,
      0,
      0.2288,
      0.5718,
      0.4028,
      0.4607,
      0.3742,
      0.2228,
      0.2244,
      0.5195,
      0.1484,
      0.5651,
      0.59,
      0.1992,
      0.6182,
      0.6218,
      0.6596,
      0.6003,
      0.3116,
      0.4544,
      0.3827,
      0.5751,
      0.1878,
      0.5318,
      0.5331,
      0.2514,
      0.5235,
      0.5654,
      0.5474,
      0.4662,
      0.4564,
      0.4789,
      0.1963,
      0.5159,
      0.5895,
      0.3581,
      0.4492,
      0.5326,
      0.3039,
      0.4504,
      0.5419,
      0.4916,
      0.4871,
      0.5108,
      0.5165,
      0.543,
      0.5938,
      0.4116,
      0.5728,
      0.5908,
      0.4128,
      0.5412,
      0.4173,
      0.5543,
      0.3982,
      0.451,
      0.412,
      0.3208,
      0.4958,
      0.4742,
      0.4639,
      0.5261,
      0.5835,
      0.518,
      0.297,
      0.6686,
      0.4214,
      0.144,
      0.6316,
      0.6727,
      0.2428,
      0.5315,
      0.6629,
      0.4003,
      0.5316,
      0.3863,
      0.4999,
      0.656,
      0.5202,
      0.4241,
      0.473,
      0.6674,
      0.5133,
      0.479,
      0.3003,
      0.3955,
      0.4994,
      0.3797,
      0,
      0.323,
      0.5383,
      0.7121,
      0.3611,
      0.3945,
      0.3608,
      0.6363,
      0.5656,
      0.3309,
      0.41,
      0.615,
      0.43,
      0.4887,
      0.6662,
      0.537,
      0.6921,
      0.4086,
      0.4123,
      0.5143,
      0.6232,
      0.2715,
      0.6167,
      0.6568,
      0.323,
      0.5347,
      0.616,
      0.6181,
      0.4866,
      0.6789,
      0.3823,
      0.1128,
      0.4459,
      0.3359,
      0.459,
      0.6203,
      0.7051,
      0.5985,
      0.4691,
      0.6233,
      0.4531,
      0.4014,
      0.3694,
      0.4369,
      0.4409,
      0.5916,
      0.5156,
      0.5091,
      0.5177,
      0.4283,
      0.5102,
      0.4847,
      0.5628,
      0.6343,
      0.4845,
      0.5251,
      0.4133,
      0.5695,
      0.5554,
      0.1485,
      0.3676,
      0.6013,
      0.3543,
      0.6013,
      0.6935,
      0.2728,
      0.1192,
      0.5484,
      0.3713,
      0.2764,
      0.5579,
      0.6482,
      0.3953,
      0.4859,
      0.4033,
      0.4589,
      0.6023,
      0.2362,
      0.3973,
      0.2188,
      0.3578,
      0.4998,
      0.6528,
      0.3905,
      0.5815,
      0.5033,
      0.3777,
      0.6908,
      0.563,
      0.6274,
      0.2976,
      0.3731,
      0.5987,
      0.3246,
      0.3905,
      0.3907,
      0.2758,
      0.4377,
      0.4294,
      0.2763,
      0.434,
      0.5259,
      0.5593,
      0.3961,
      0.439,
      0.4734,
      0.4474,
      0.4823,
      0.5603,
      0.5072,
      0.4694,
      0.4534,
      0.5217,
      0.6379,
      0.6771,
      0.5013,
      0.6282,
      0.3904,
      0.1069,
      0.3337,
      0.3593,
      0.4339,
      0.3153,
      0.702,
      0.4684,
      0.4718,
      0.6287,
      0.5138,
      0.5816,
      0.4497,
      0.4306,
      0.2514,
      0.3166,
      0.3655,
      0.4567,
      0.5674,
      0.3989,
      0.54,
      0.5274,
      0.5914,
      0.5618,
      0.4538,
      0.5242,
      0.4091,
      0.5142,
      0.5546,
      0.4458,
      0.5979,
      0.5923,
      0.4051,
      0.5681,
      0.5437,
      0.6032,
      0.4909,
      0.5637,
      0.4721,
      0.5303,
      0.5914,
      0.3162,
      0.5383,
      0.6168,
      0.3877,
      0.6114,
      0.5919,
      0.2644,
      0.4457,
      0.3433,
      0.1123,
      0.6714,
      0.4512,
      0.3371,
      0.4889,
      0.5474,
      0.281,
      0.5286,
      0.5173,
      0.4379,
      0.3309,
      0.4255,
      0.6462,
      0.4521,
      0.364,
      0.4149,
      0.2804,
      0.3509,
      0.5098,
      0.2345,
      0.4148,
      0.3685,
      0.2911,
      0.6482,
      0.3536,
      0.4537,
      0.3895,
      0.3774,
      0.3488,
      0.6222,
      0.3924,
      0.3553,
      0.5185,
      0.438,
      0.4777,
      0.1894,
      0.3622,
      0.3638,
      0.4163,
      0.4208,
      0.3577,
      0.2054,
      0.333,
      0.3099,
      0.0885,
      0,
      0,
      0.2231,
      0.4069,
      0.2764,
      0.3763,
      0.164,
      0.1378,
      0.3991,
      0.4568,
      0.2038,
      0.2935,
      0.4642,
      0.3216,
      0.6578,
      0.3553,
      0.5399,
      0.5281,
      0.5221,
      0.3906,
      0.3853,
      0.2076,
      0.4769,
      0.2434,
      0.4705,
      0.4734,
      0.3767,
      0.3946,
      0.3806,
      0.1457,
      0.4119,
      0.3561,
      0.3688,
      0.3406,
      0.4236,
      0.1898,
      0.3545,
      0.6206,
      0.2718,
      0.5871,
      0.2503,
      0.4156,
      0.2296,
      0.2966,
      0.4813,
      0.511,
      0.3063,
      0.2559,
      0.3101,
      0.4252,
      0.1887,
      0.554,
      0.2438,
      0.5643,
      0.4366,
      0.3668,
      0.4114,
      0.2705,
      0.3828,
      0.3488,
      0.4147,
      0.3211,
      0.5238,
      0.3996,
      0.159,
      0.5081,
      0.5128,
      0.0554,
      0.5583,
      0.317,
      0.1145,
      0.3991,
      0.6071,
      0.1245,
      0.4628,
      0.2054,
      0.3066,
      0.2941,
      0.4255,
      0.398,
      0.2629,
      0.3955,
      0.5967,
      0.507,
      0.4178,
      0.2546,
      0.4969,
      0.2842,
      0,
      0.2385,
      0.2551,
      0.5665,
      0.5304,
      0.365,
      0.3816,
      0.2432,
      0.5449,
      0.1088,
      0.1238,
      0.5596,
      0.5207,
      0.3833,
      0.3648,
      0.5377,
      0.5852,
      0.3299,
      0.2859,
      0.4831,
      0.222,
      0.4729,
      0.5532,
      0.5984,
      0.2959,
      0.4972,
      0.4243,
      0.531,
      0.3872,
      0.4821,
      0.2585,
      0.0569,
      0.4209,
      0.368,
      0.3568,
      0.369,
      0.4744,
      0.5696,
      0.3574,
      0.4195,
      0.4218,
      0.3933,
      0.4682,
      0.4105,
      0.5374,
      0.2579,
      0.3042,
      0.5722,
      0.3273,
      0.3229,
      0.5691,
      0.3954,
      0.5318,
      0.5275,
      0.5143,
      0.3608,
      0.3063,
      0.3142,
      0.5686,
      0.1155,
      0.2651,
      0.2131,
      0.3766,
      0.2794,
      0.466,
      0.3055,
      0.1379,
      0.5486,
      0.4067,
      0.3467,
      0.5783,
      0.5504,
      0.1589,
      0.3674,
      0.4733,
      0.3567,
      0.318,
      0.1689,
      0.4403,
      0.0622,
      0.2333,
      0.6266,
      0.6392,
      0.3872,
      0.341,
      0.3082,
      0.3731,
      0.3415,
      0.368,
      0.4066,
      0.2934,
      0.3042,
      0.3601,
      0.2506,
      0.1999,
      0.5737,
      0.3232,
      0.5078,
      0.4656,
      0.2435,
      0.378,
      0.2672,
      0.2729,
      0.5102,
      0.4558,
      0.5204,
      0.4057,
      0.3762,
      0.5216,
      0.3838,
      0.2153,
      0.4382,
      0.5747,
      0.3844,
      0.5819,
      0.1198,
      0.5503,
      0.3796,
      0.0326,
      0.3768,
      0.3961,
      0.4506,
      0.4519,
      0.5622,
      0.3777,
      0.538,
      0.597,
      0.5262,
      0.4235,
      0.3315,
      0.166,
      0.4519,
      0.3036,
      0.3031,
      0.3765,
      0.379,
      0.6492,
      0.4002,
      0.3556,
      0.388,
      0.5922,
      0.5583,
      0.4343,
      0.3196,
      0.3132,
      0.4457,
      0.1886,
      0.3488,
      0.4409,
      0.279,
      0.4709,
      0.5116,
      0.2981,
      0.3425,
      0.4881,
      0.5537,
      0.4174,
      0.4469,
      0.2782,
      0.3529,
      0.1739,
      0.02,
      0.4519,
      0.6035,
      0.2507,
      0.353,
      0.3289,
      0.1576,
      0.5534,
      0.4394,
      0.5197,
      0.4961,
      0.5204,
      0.2353,
      0.2926,
      0.2905,
      0.5494,
      0.3038,
      0.4189,
      0.5574,
      0.3784,
      0.3192,
      0.4421,
      0.4949,
      0.3369,
      0.5588,
      0.2478,
      0.5134,
      0.1672,
      0.4267,
      0.5278,
      0.1881,
      0.2121,
      0.4733,
      0.2183,
      0.1633,
      0.591,
      0.233,
      0.2702,
      0.5505,
      0.2019,
      0.4098,
      0.2576,
      0.3226,
      0.1792,
      0.1926,
      0.2948,
      0.1998,
      0.0636,
      0.0895,
      0,
      0,
      0,
      0,
      0.2981,
      0.2742,
      0.2718,
      0.3969,
      0.5614,
      0.1578,
      0.4043,
      0.1235,
      0.3721,
      0.1338,
      0.0892,
      0.562,
      0.2838,
      0.2783,
      0.2597,
      0.6062,
      0.4934,
      0.5047,
      0.1376,
      0.2043,
      0.5043,
      0.2397,
      0.5575,
      0.4676,
      0.206,
      0.3223,
      0.1417,
      0.1399,
      0.4827,
      0.6034,
      0.3956,
      0.4039,
      0.3658,
      0.1293,
      0.5837,
      0.575,
      0.2079,
      0.5791,
      0.2763,
      0.4746,
      0.4827,
      0.5511,
      0.5069,
      0.5328,
      0.2871,
      0.4843,
      0.4918,
      0.4089,
      0.3798,
      0.6304,
      0.0956,
      0.3879,
      0.3215,
      0.4648,
      0.3029,
      0.2123,
      0.5021,
      0.526,
      0.3401,
      0.4641,
      0.378,
      0.6737,
      0.1979,
      0.4647,
      0.6886,
      0.2114,
      0.4873,
      0.2243,
      0.478,
      0.4008,
      0.6037,
      0.3578,
      0.5345,
      0.4844,
      0.3683,
      0.2241,
      0.1432,
      0.4122,
      0.3743,
      0.3027,
      0.5628,
      0.6318,
      0.5418,
      0.3093,
      0.5066,
      0.6474,
      0.1728,
      0.2678,
      0.3641,
      0.4593,
      0.6587,
      0.5899,
      0.5303,
      0.3724,
      0.5374,
      0.3544,
      0.4101,
      0.4489,
      0.5857,
      0.6309,
      0.3803,
      0.3293,
      0.3854,
      0.5295,
      0.3749,
      0.4878,
      0.3203,
      0.6239,
      0.6205,
      0.3944,
      0.3668,
      0.4516,
      0.5001,
      0.4641,
      0.5915,
      0.6948,
      0.5653,
      0.0673,
      0.6628,
      0.4757,
      0.3388,
      0.4002,
      0.4717,
      0.4868,
      0.6141,
      0.2898,
      0.2104,
      0.2364,
      0.5482,
      0.4003,
      0.631,
      0.2434,
      0.3949,
      0.4582,
      0.5274,
      0.4832,
      0.408,
      0.3545,
      0.5644,
      0.4864,
      0.5293,
      0.6009,
      0.6174,
      0.4472,
      0.289,
      0.3871,
      0.5805,
      0.2287,
      0.4867,
      0.3475,
      0.3907,
      0.7016,
      0.2896,
      0.5549,
      0.7197,
      0.4678,
      0.3569,
      0.4876,
      0.4364,
      0.3054,
      0.4773,
      0.4231,
      0.2505,
      0.1109,
      0.4026,
      0.4045,
      0.2905,
      0.5893,
      0.5069,
      0.6102,
      0.3832,
      0.3799,
      0.3841,
      0.3529,
      0.2425,
      0.2732,
      0.5463,
      0.3099,
      0.3101,
      0.6808,
      0.5582,
      0.5664,
      0.6453,
      0.5629,
      0.6889,
      0.6098,
      0.4663,
      0.4181,
      0.3538,
      0.6966,
      0.562,
      0.5808,
      0.4728,
      0.3882,
      0.4346,
      0.475,
      0.4352,
      0.687,
      0.5589,
      0.4474,
      0.4461,
      0.1444,
      0.6476,
      0.5528,
      0.0935,
      0.5114,
      0.6126,
      0.285,
      0.6048,
      0.4485,
      0.3071,
      0.6903,
      0.5749,
      0.5719,
      0.5597,
      0.5233,
      0.4163,
      0.6579,
      0.4298,
      0.5594,
      0.3129,
      0.2783,
      0.6148,
      0.5288,
      0.3483,
      0.5844,
      0.5596,
      0.5799,
      0.5844,
      0.5942,
      0.3217,
      0.5167,
      0.2759,
      0.5801,
      0.2774,
      0.4475,
      0.546,
      0.5401,
      0.208,
      0.3103,
      0.6741,
      0.4539,
      0.5839,
      0.3484,
      0.4909,
      0.394,
      0.3317,
      0.0523,
      0.3388,
      0.3509,
      0.1448,
      0.3984,
      0.4516,
      0.3081,
      0.5607,
      0.5851,
      0.5582,
      0.3914,
      0.3698,
      0.3125,
      0.1973,
      0.2474,
      0.61,
      0.1455,
      0.5371,
      0.4189,
      0.342,
      0.3475,
      0.5249,
      0.462,
      0.332,
      0.5328,
      0.3067,
      0.6356,
      0.3008,
      0.3569,
      0.4026,
      0.4076,
      0.4523,
      0.494,
      0.4287,
      0.4063,
      0.4618,
      0.2825,
      0.0357,
      0.5753,
      0.2656,
      0.3664,
      0.1926,
      0.5137,
      0.3611,
      0.0438,
      0.4263,
      0.472,
      0.036,
      0.242,
      0.2116,
      0,
      0,
      0,
      0.3043,
      0.3425,
      0.2546,
      0.3084,
      0.3517,
      0.2378,
      0.1744,
      0.1421,
      0.3591,
      0.054,
      0.1993,
      0.6064,
      0.3301,
      0.1518,
      0.2224,
      0.4543,
      0.2649,
      0.3802,
      0.1993,
      0.3773,
      0.4017,
      0.2302,
      0.6003,
      0.2823,
      0.2933,
      0.2676,
      0.1045,
      0.1561,
      0.2893,
      0.2878,
      0.2336,
      0.3083,
      0.344,
      0.1051,
      0.3022,
      0.5541,
      0.1438,
      0.2322,
      0.3239,
      0.4489,
      0.2603,
      0.2017,
      0.4423,
      0.3293,
      0.2855,
      0.2195,
      0.4376,
      0.381,
      0.5041,
      0.5656,
      0.1201,
      0.3482,
      0.4847,
      0.1962,
      0.2275,
      0.1433,
      0.5397,
      0.3215,
      0.2755,
      0.5283,
      0.4789,
      0.2661,
      0,
      0.5106,
      0.4837,
      0.0354,
      0.5437,
      0.1373,
      0.0963,
      0.4561,
      0.4752,
      0.0023,
      0.606,
      0.2,
      0.3541,
      0.1937,
      0.2044,
      0.4265,
      0.1301,
      0.2947,
      0.5468,
      0.526,
      0.1696,
      0.3326,
      0.5444,
      0.3078,
      0.0508,
      0.1896,
      0.2146,
      0.4561,
      0.4987,
      0.3754,
      0.3299,
      0.1906,
      0.5523,
      0.2566,
      0.1087,
      0.4978,
      0.3597,
      0.3935,
      0.3898,
      0.4426,
      0.4059,
      0.3817,
      0.4739,
      0.3213,
      0.37,
      0.6012,
      0.5091,
      0.3714,
      0.3134,
      0.4763,
      0.4383,
      0.4717,
      0.4156,
      0.5328,
      0.3286,
      0.1661,
      0.6568,
      0.4324,
      0.3496,
      0.3887,
      0.4887,
      0.4189,
      0.3658,
      0.4461,
      0.1333,
      0.1237,
      0.2249,
      0.3287,
      0.2316,
      0.3808,
      0.2659,
      0.441,
      0.2427,
      0.1852,
      0.3306,
      0.336,
      0.3586,
      0.5136,
      0.3968,
      0.3898,
      0.1622,
      0.5018,
      0.2003,
      0.1715,
      0.5564,
      0.1939,
      0.3878,
      0.423,
      0.405,
      0.2417,
      0.1945,
      0.5977,
      0.1116,
      0.1145,
      0.4334,
      0.3869,
      0.0693,
      0.2339,
      0.3691,
      0.1878,
      0.1427,
      0.0336,
      0.3767,
      0.0518,
      0.1717,
      0.5461,
      0.4114,
      0.4465,
      0.3766,
      0.3288,
      0.2903,
      0.5785,
      0.2671,
      0.2257,
      0.1268,
      0.3215,
      0.3173,
      0.1798,
      0.2671,
      0.5834,
      0.3206,
      0.3081,
      0.4567,
      0.2726,
      0.2512,
      0.1341,
      0.343,
      0.3701,
      0.3087,
      0.3576,
      0.3107,
      0.3569,
      0.378,
      0.4348,
      0.0661,
      0.4034,
      0.6012,
      0.5147,
      0.422,
      0.1915,
      0.4588,
      0.3393,
      0.1314,
      0.5804,
      0.6063,
      0.269,
      0.4126,
      0.4192,
      0.4067,
      0.3565,
      0.5433,
      0.3671,
      0.3087,
      0.3508,
      0.3295,
      0.4554,
      0.3632,
      0.7111,
      0.3477,
      0.3964,
      0.6062,
      0.4034,
      0.2935,
      0.3067,
      0.4921,
      0.4189,
      0.2744,
      0.236,
      0.4675,
      0.3076,
      0.215,
      0.2776,
      0.2183,
      0.4109,
      0.3171,
      0.3331,
      0.4768,
      0.2538,
      0.6075,
      0.2785,
      0.3587,
      0.3741,
      0.2865,
      0.3296,
      0.1449,
      0,
      0.3628,
      0.395,
      0.2422,
      0.4703,
      0.0872,
      0.1005,
      0.5458,
      0.3769,
      0.2635,
      0.4877,
      0.3235,
      0.1578,
      0.0954,
      0.3873,
      0.385,
      0.1555,
      0.5127,
      0.3548,
      0.287,
      0.2395,
      0.4899,
      0.1487,
      0.0946,
      0.5302,
      0.2547,
      0.3991,
      0.3436,
      0.2107,
      0.4763,
      0.2485,
      0.1119,
      0.502,
      0.3413,
      0.2402,
      0.4391,
      0.1715,
      0.0922,
      0.5864,
      0.2363,
      0.3181,
      0.1603,
      0.2601,
      0.2772,
      0.2096,
      0.2267,
      0.3174,
      0.1952,
      0.0623,
      0,
      0,
      0,
      0,
      0.2418,
      0.6331,
      0.3778,
      0.4433,
      0.299,
      0.1842,
      0.2164,
      0.1989,
      0.4121,
      0.0907,
      0.2551,
      0.7341,
      0.3832,
      0.1964,
      0.3758,
      0.4037,
      0.3925,
      0.1596,
      0.0868,
      0.402,
      0.206,
      0.2241,
      0.4525,
      0.1906,
      0.2692,
      0.2636,
      0.2271,
      0.1957,
      0.428,
      0.3061,
      0.1784,
      0.2951,
      0.5582,
      0.3672,
      0.2963,
      0.5266,
      0.159,
      0.262,
      0.5368,
      0.2218,
      0.3251,
      0.3476,
      0.3288,
      0.5068,
      0.4215,
      0.4307,
      0.404,
      0.4349,
      0.3588,
      0.5431,
      0.1581,
      0.2423,
      0.5627,
      0.3484,
      0.2514,
      0.0972,
      0.5717,
      0.2881,
      0.4214,
      0.6471,
      0.6389,
      0.2969,
      0.1787,
      0.5171,
      0.4075,
      0.004,
      0.5063,
      0.1239,
      0.29,
      0.5534,
      0.3597,
      0.2701,
      0.6353,
      0.2363,
      0.3687,
      0.1534,
      0.226,
      0.544,
      0.3111,
      0.2313,
      0.644,
      0.3878,
      0.4041,
      0.4887,
      0.5605,
      0.309,
      0.2886,
      0.324,
      0.3788,
      0.4264,
      0.3118,
      0.4236,
      0.2398,
      0.2665,
      0.5155,
      0.4299,
      0.1552,
      0.4493,
      0.4434,
      0.5594,
      0.6637,
      0.5868,
      0.6529,
      0.3433,
      0.2388,
      0.3541,
      0.3234,
      0.1919,
      0.522,
      0.3348,
      0.3131,
      0.5056,
      0.2787,
      0.5717,
      0.5852,
      0.4929,
      0.2784,
      0.0876,
      0.3556,
      0.2877,
      0.3112,
      0.3014,
      0.5182,
      0.3661,
      0.4606,
      0.4637,
      0.1343,
      0.3193,
      0.3317,
      0.2507,
      0.3092,
      0.418,
      0.4401,
      0.45,
      0.3285,
      0.1464,
      0.422,
      0.5116,
      0.3927,
      0.6156,
      0.4274,
      0.4963,
      0.2892,
      0.4474,
      0.4484,
      0.4897,
      0.4434,
      0.3646,
      0.4282,
      0.4738,
      0.445,
      0.1255,
      0.2685,
      0.5499,
      0.1352,
      0.2626,
      0.6367,
      0.3616,
      0.2403,
      0.2839,
      0.3747,
      0.278,
      0.2201,
      0.1254,
      0.4083,
      0.2773,
      0.2297,
      0.5231,
      0.402,
      0.457,
      0.5922,
      0.3633,
      0.1894,
      0.6081,
      0.2776,
      0.2496,
      0.0358,
      0.3955,
      0.2762,
      0.1888,
      0.2569,
      0.5615,
      0.5022,
      0.3786,
      0.5137,
      0.3164,
      0.2706,
      0.4816,
      0.4506,
      0.2484,
      0.4023,
      0.3805,
      0.3413,
      0.31,
      0.3238,
      0.5018,
      0.2689,
      0.3395,
      0.5222,
      0.5287,
      0.6979,
      0.4086,
      0.4533,
      0.3246,
      0.1332,
      0.3059,
      0.2544,
      0.403,
      0.4667,
      0.4411,
      0.3827,
      0.289,
      0.6014,
      0.4482,
      0.3881,
      0.2391,
      0.2415,
      0.2686,
      0.319,
      0.6839,
      0.3993,
      0.2962,
      0.4497,
      0.4087,
      0.5083,
      0.4053,
      0.4546,
      0.374,
      0.4882,
      0.2842,
      0.4815,
      0.545,
      0.542,
      0.4439,
      0.3586,
      0.5238,
      0.2249,
      0.2937,
      0.5482,
      0.4614,
      0.5777,
      0.4528,
      0.339,
      0.4989,
      0.5331,
      0.3163,
      0.3034,
      0.135,
      0.3991,
      0.4422,
      0.2439,
      0.6102,
      0.2533,
      0.1888,
      0.5612,
      0.3385,
      0.1806,
      0.5083,
      0.3173,
      0.165,
      0.1471,
      0.4289,
      0.3075,
      0.1044,
      0.4001,
      0.3389,
      0.1995,
      0.2447,
      0.4919,
      0.1284,
      0.2063,
      0.6091,
      0.0632,
      0.3725,
      0.425,
      0.3547,
      0.5236,
      0.4377,
      0.1851,
      0.5008,
      0.4069,
      0.345,
      0.4755,
      0.2622,
      0.0376,
      0.5333,
      0.3929,
      0.3293,
      0.2157,
      0.4386,
      0.3639,
      0.3341,
      0.3,
      0.3983,
      0.2636,
      0.1739,
      0.1434,
      0,
      0,
      0.0119,
      0.266,
      0.4709,
      0.241,
      0.3689,
      0.0992,
      0.1984,
      0.1558,
      0,
      0.2434,
      0.0258,
      0.1043,
      0.4309,
      0.2774,
      0.2231,
      0.3269,
      0.4098,
      0.438,
      0.1255,
      0.0862,
      0.2448,
      0.0806,
      0.1842,
      0.3289,
      0.117,
      0.1338,
      0.1926,
      0.1166,
      0.1785,
      0.2027,
      0.43,
      0.179,
      0.1874,
      0.4014,
      0.3118,
      0.2401,
      0.5233,
      0.1809,
      0.2645,
      0.3514,
      0.0985,
      0.3266,
      0.2294,
      0.3102,
      0.3505,
      0.3984,
      0.3721,
      0.4181,
      0.3392,
      0.193,
      0.5888,
      0.275,
      0.2202,
      0.4882,
      0.2107,
      0.207,
      0,
      0.4228,
      0.3629,
      0.4232,
      0.4943,
      0.3816,
      0.3458,
      0.2456,
      0.511,
      0.3432,
      0.0022,
      0.5056,
      0.1192,
      0.1811,
      0.386,
      0.5052,
      0.36,
      0.4386,
      0.2813,
      0.4176,
      0.2148,
      0.3098,
      0.3832,
      0.1955,
      0.2361,
      0.5728,
      0.3993,
      0.5797,
      0.2166,
      0.4958,
      0.5433,
      0.0331,
      0.2348,
      0.192,
      0.3216,
      0.2518,
      0.3141,
      0.1985,
      0.1039,
      0.526,
      0.1721,
      0.2852,
      0.4614,
      0.4929,
      0.6562,
      0.4428,
      0.5703,
      0.4532,
      0.4049,
      0.2237,
      0.3903,
      0.3174,
      0.2503,
      0.5773,
      0.4035,
      0.3176,
      0.5062,
      0.3148,
      0.4207,
      0.2799,
      0.4834,
      0.1522,
      0.0983,
      0.3658,
      0.3499,
      0.202,
      0.2792,
      0.4572,
      0.2502,
      0.2886,
      0.4866,
      0.1884,
      0.2416,
      0.1237,
      0.15,
      0.2663,
      0.3436,
      0.3495,
      0.3963,
      0.2525,
      0.1921,
      0.4739,
      0.2676,
      0.1981,
      0.5701,
      0.3978,
      0.1975,
      0.1967,
      0.4728,
      0.4544,
      0.1234,
      0.2711,
      0.2214,
      0.3166,
      0.2749,
      0.3932,
      0.0542,
      0.0838,
      0.5354,
      0.076,
      0,
      0.3965,
      0.4267,
      0.3257,
      0.2618,
      0.3638,
      0.4093,
      0.2917,
      0.0356,
      0.4006,
      0.0408,
      0.2127,
      0.5102,
      0.4558,
      0.237,
      0.4217,
      0.4469,
      0.368,
      0.1294,
      0.2274,
      0.2537,
      0.0224,
      0.3103,
      0.3372,
      0.1479,
      0.2391,
      0.536,
      0.6003,
      0.3352,
      0.6426,
      0.4087,
      0.2988,
      0.2343,
      0.1516,
      0.2048,
      0.3286,
      0.3545,
      0.298,
      0.3625,
      0.2298,
      0.491,
      0.3648,
      0.2436,
      0.5268,
      0.5143,
      0.4908,
      0.2356,
      0.4464,
      0.2356,
      0.0472,
      0.2469,
      0.212,
      0.1143,
      0.2887,
      0.3634,
      0.2212,
      0.3595,
      0.5732,
      0.2248,
      0.3809,
      0.2314,
      0.212,
      0.2243,
      0.3197,
      0.2844,
      0.4366,
      0.3296,
      0.2386,
      0.5143,
      0.1976,
      0.2208,
      0.5413,
      0.38,
      0.2706,
      0.199,
      0.3989,
      0.4668,
      0.2189,
      0.2661,
      0.2223,
      0.2885,
      0.2179,
      0.3512,
      0.2705,
      0.2654,
      0.5938,
      0.3472,
      0.3448,
      0.4633,
      0.3033,
      0.2827,
      0.2395,
      0.1774,
      0.4196,
      0.3536,
      0.2314,
      0.3586,
      0.1181,
      0.0718,
      0.5491,
      0.3141,
      0.2637,
      0.5086,
      0.4401,
      0.1096,
      0.1329,
      0.3056,
      0.2468,
      0.0534,
      0.3198,
      0.3285,
      0.2093,
      0.4252,
      0.4484,
      0.0374,
      0.2629,
      0.5805,
      0.1467,
      0.3507,
      0.1397,
      0.3229,
      0.3515,
      0.1159,
      0.1086,
      0.5982,
      0.2307,
      0.287,
      0.5009,
      0.3327,
      0.0916,
      0.5345,
      0.1863,
      0.2091,
      0.2275,
      0.332,
      0.1753,
      0.1063,
      0.3356,
      0.2797,
      0.1351,
      0.2477,
      0.2227,
      0,
      0,
      0,
      0.3472,
      0.2713,
      0.2277,
      0.2838,
      0.3458,
      0.2355,
      0.1462,
      0.0069,
      0.2423,
      0.1557,
      0.1368,
      0.2993,
      0.3196,
      0.2236,
      0.3494,
      0.4113,
      0.2966,
      0.3607,
      0.1821,
      0.4927,
      0.105,
      0.1143,
      0.2951,
      0.0131,
      0.2174,
      0.3013,
      0.1688,
      0.2189,
      0.2644,
      0.4691,
      0.3075,
      0.4279,
      0.3176,
      0.1979,
      0.0927,
      0.5464,
      0.259,
      0.1618,
      0.3419,
      0.4635,
      0.4935,
      0.5074,
      0.4604,
      0.3922,
      0.1647,
      0.4571,
      0.2848,
      0.1584,
      0.1216,
      0.6423,
      0.3381,
      0.2418,
      0.4877,
      0.5046,
      0.3041,
      0,
      0.2786,
      0.3249,
      0.3219,
      0.5068,
      0.3412,
      0.4347,
      0,
      0.4852,
      0.3312,
      0,
      0.5758,
      0.1751,
      0.2679,
      0.3368,
      0.5205,
      0.0708,
      0.5278,
      0.3071,
      0.4369,
      0.1971,
      0.2742,
      0.4229,
      0.3355,
      0.3503,
      0.6562,
      0.2739,
      0.1584,
      0.1703,
      0.3813,
      0.3805,
      0,
      0.2089,
      0.2451,
      0.3083,
      0.2494,
      0.4106,
      0.2932,
      0.1961,
      0.5989,
      0.1567,
      0,
      0.4227,
      0.4829,
      0.6442,
      0.3572,
      0.3495,
      0.4145,
      0.2626,
      0.4436,
      0.3811,
      0.3552,
      0.2374,
      0.5368,
      0.4692,
      0.2041,
      0.5154,
      0.2689,
      0.4132,
      0.2361,
      0.3769,
      0.4175,
      0.1457,
      0.3759,
      0.3238,
      0.2564,
      0.1686,
      0.394,
      0.3345,
      0.3333,
      0.4717,
      0.2231,
      0.2744,
      0.4593,
      0.4173,
      0.3945,
      0.2153,
      0.3055,
      0.2881,
      0.1685,
      0.2225,
      0.2758,
      0.255,
      0.484,
      0.6023,
      0.3638,
      0.4322,
      0.4936,
      0.3567,
      0.2882,
      0.2252,
      0.1861,
      0.2363,
      0.3584,
      0.4285,
      0.4657,
      0.0715,
      0,
      0.5965,
      0.1088,
      0.2192,
      0.3349,
      0.5556,
      0.0688,
      0.2155,
      0.3987,
      0.2477,
      0.3387,
      0.0905,
      0.3225,
      0.2529,
      0.251,
      0.53,
      0.5025,
      0.5495,
      0.4073,
      0.4355,
      0.3047,
      0.201,
      0.2608,
      0.3156,
      0.006,
      0.2349,
      0.3008,
      0.0968,
      0.5426,
      0.5665,
      0.2649,
      0.3605,
      0.5118,
      0.2228,
      0.2943,
      0.1228,
      0.1923,
      0.2746,
      0.4357,
      0.2701,
      0.3151,
      0.3111,
      0.3433,
      0.4288,
      0.1223,
      0.2741,
      0.6505,
      0.4093,
      0.4555,
      0.1086,
      0.4593,
      0.3892,
      0.1862,
      0.2608,
      0.2756,
      0.1643,
      0.1595,
      0.3206,
      0.2099,
      0.2616,
      0.6517,
      0.4024,
      0.3088,
      0.3481,
      0.377,
      0.3092,
      0.3295,
      0.2409,
      0.2271,
      0.41,
      0.2384,
      0.4343,
      0.2931,
      0.4923,
      0.5345,
      0.3613,
      0.4069,
      0.49,
      0.3289,
      0.3748,
      0.2947,
      0.2511,
      0.1532,
      0.3991,
      0.3698,
      0.4629,
      0.2412,
      0.215,
      0.5764,
      0.406,
      0.45,
      0.3836,
      0.2163,
      0.2225,
      0.0812,
      0,
      0.5458,
      0.3085,
      0.2146,
      0.5331,
      0.2277,
      0.1428,
      0.5754,
      0.1541,
      0.2813,
      0.5328,
      0.1486,
      0.1764,
      0.3103,
      0.1912,
      0.3601,
      0.1287,
      0.2772,
      0.3553,
      0.3253,
      0.3411,
      0.4214,
      0.0478,
      0.1167,
      0.6167,
      0.1561,
      0.3647,
      0.1568,
      0.1049,
      0.2762,
      0.4283,
      0.3027,
      0.5772,
      0.3169,
      0.3697,
      0.4087,
      0.1469,
      0.1792,
      0.5977,
      0.1539,
      0.2309,
      0.2336,
      0.4185,
      0.4501,
      0.099,
      0.1801,
      0.3087,
      0.0217,
      0,
      0,
      0,
      0,
      0,
      0.2776,
      0.6074,
      0.3567,
      0.4138,
      0.378,
      0.3072,
      0.2016,
      0.4383,
      0.2084,
      0.4886,
      0.5267,
      0.2487,
      0.4816,
      0.6057,
      0.5919,
      0.6349,
      0.2622,
      0.1689,
      0.4088,
      0.4597,
      0.2223,
      0.5006,
      0.4544,
      0.1855,
      0.4523,
      0.4351,
      0.4915,
      0.208,
      0.4456,
      0.3374,
      0.2899,
      0.458,
      0.5296,
      0.3263,
      0.327,
      0.6197,
      0.3169,
      0.2648,
      0.4453,
      0.3209,
      0.6199,
      0.517,
      0.5037,
      0.5628,
      0.2946,
      0.4499,
      0.4356,
      0.4563,
      0.3054,
      0.6077,
      0.4407,
      0.4432,
      0.5425,
      0.4453,
      0.3616,
      0.1115,
      0.2886,
      0.4363,
      0.3878,
      0.4181,
      0.3477,
      0.4475,
      0.224,
      0.4201,
      0.453,
      0.318,
      0.6362,
      0.6014,
      0.2933,
      0.3898,
      0.4541,
      0.3136,
      0.5689,
      0.4157,
      0.4657,
      0.5153,
      0.4114,
      0.4373,
      0.4008,
      0.5141,
      0.6315,
      0.5075,
      0.1939,
      0.351,
      0.4066,
      0.3064,
      0,
      0.2664,
      0.4304,
      0.5902,
      0.322,
      0.4474,
      0.3089,
      0.5193,
      0.5532,
      0.2293,
      0.36,
      0.4411,
      0.6194,
      0.4079,
      0.641,
      0.4064,
      0.5841,
      0.3307,
      0.3302,
      0.5864,
      0.5303,
      0.2609,
      0.5831,
      0.6078,
      0.2064,
      0.5512,
      0.5174,
      0.5574,
      0.4831,
      0.5902,
      0.2663,
      0.213,
      0.3303,
      0.3393,
      0.3712,
      0.4265,
      0.4619,
      0.4523,
      0.4604,
      0.52,
      0.4743,
      0.6156,
      0.3855,
      0.4863,
      0.3715,
      0.494,
      0.4791,
      0.412,
      0.498,
      0.4588,
      0.5125,
      0.4933,
      0.4373,
      0.5888,
      0.4621,
      0.5069,
      0.258,
      0.3302,
      0.3969,
      0.3562,
      0.3528,
      0.4863,
      0.5671,
      0.6577,
      0.529,
      0.1899,
      0.2542,
      0.6014,
      0.2493,
      0.2855,
      0.4642,
      0.6877,
      0.2846,
      0.2757,
      0.3584,
      0.3181,
      0.5496,
      0.1927,
      0.4256,
      0.3068,
      0.3102,
      0.5633,
      0.5337,
      0.4956,
      0.4947,
      0.4471,
      0.3549,
      0.4079,
      0.32,
      0.4947,
      0.2026,
      0.2874,
      0.5961,
      0.3198,
      0.5247,
      0.5374,
      0.2513,
      0.538,
      0.5504,
      0.1179,
      0.3482,
      0.4308,
      0.4042,
      0.2885,
      0.4427,
      0.3063,
      0.421,
      0.4265,
      0.389,
      0.4826,
      0.292,
      0.5245,
      0.617,
      0.606,
      0.6177,
      0.4736,
      0.5777,
      0.3348,
      0.1032,
      0.404,
      0.2818,
      0.3583,
      0.4371,
      0.4717,
      0.446,
      0.4193,
      0.6885,
      0.4668,
      0.6634,
      0.4418,
      0.4227,
      0.5546,
      0.2954,
      0.2481,
      0.4425,
      0.4984,
      0.235,
      0.5343,
      0.4224,
      0.4358,
      0.6012,
      0.4699,
      0.5189,
      0.2517,
      0.4113,
      0.4363,
      0.3801,
      0.5162,
      0.5665,
      0.5287,
      0.652,
      0.4181,
      0.4935,
      0.5464,
      0.634,
      0.3444,
      0.4889,
      0.491,
      0.4349,
      0.4021,
      0.5062,
      0.2835,
      0.5867,
      0.5434,
      0.2989,
      0.4473,
      0.1355,
      0.2051,
      0.6052,
      0.3218,
      0.3829,
      0.5637,
      0.4927,
      0.3831,
      0.3503,
      0.3754,
      0.2155,
      0.2019,
      0.258,
      0.4432,
      0.4396,
      0.2516,
      0.5164,
      0.1553,
      0.2233,
      0.6102,
      0.2033,
      0.3978,
      0.4435,
      0.1765,
      0.4719,
      0.236,
      0.4313,
      0.4054,
      0.274,
      0.29,
      0.5192,
      0.4088,
      0.3357,
      0.5741,
      0.3046,
      0.3061,
      0.2462,
      0.4591,
      0.366,
      0.3103,
      0.3342,
      0.3643,
      0,
      0.1752,
      0.1435,
      0,
      0,
      0,
      0.2064,
      0.5481,
      0.3584,
      0.4347,
      0.1167,
      0.1885,
      0.333,
      0.4211,
      0.2115,
      0.4111,
      0.4306,
      0.3098,
      0.622,
      0.426,
      0.5431,
      0.475,
      0.3886,
      0.1961,
      0.4626,
      0.3209,
      0.2471,
      0.413,
      0.4852,
      0.2124,
      0.3414,
      0.372,
      0.4845,
      0.2513,
      0.4504,
      0.2695,
      0.2283,
      0.2494,
      0.4357,
      0.2175,
      0.3368,
      0.6647,
      0.2255,
      0.363,
      0.3572,
      0.2821,
      0.5584,
      0.3806,
      0.3664,
      0.3879,
      0.2184,
      0.3183,
      0.4049,
      0.3933,
      0.2275,
      0.6701,
      0.2961,
      0.488,
      0.5255,
      0.3717,
      0.327,
      0.1739,
      0.3862,
      0.3175,
      0.4415,
      0.5208,
      0.4689,
      0.5379,
      0.2253,
      0.535,
      0.3751,
      0.1591,
      0.65,
      0.4605,
      0.1108,
      0.3371,
      0.3797,
      0.2368,
      0.4082,
      0.2512,
      0.4965,
      0.4265,
      0.3592,
      0.4304,
      0.3649,
      0.3996,
      0.6723,
      0.5484,
      0.2401,
      0.3172,
      0.4246,
      0.2708,
      0,
      0.1922,
      0.2847,
      0.4783,
      0.2602,
      0.4305,
      0.3758,
      0.3742,
      0.6046,
      0.1005,
      0.2058,
      0.4084,
      0.4876,
      0.5055,
      0.4818,
      0.5459,
      0.6204,
      0.4064,
      0.249,
      0.6794,
      0.2375,
      0.1918,
      0.6464,
      0.5397,
      0.2901,
      0.5497,
      0.4491,
      0.4858,
      0.5056,
      0.567,
      0.2198,
      0.083,
      0.2677,
      0.3814,
      0.2423,
      0.3243,
      0.4454,
      0.4988,
      0.4387,
      0.5052,
      0.5024,
      0.5483,
      0.3639,
      0.3006,
      0.4119,
      0.2066,
      0.4287,
      0.47,
      0.4036,
      0.4131,
      0.5604,
      0.3924,
      0.5196,
      0.6202,
      0.5639,
      0.4534,
      0.1453,
      0.3183,
      0.5372,
      0.3842,
      0.2753,
      0.3537,
      0.4962,
      0.5151,
      0.5515,
      0.1569,
      0.0842,
      0.6325,
      0.2436,
      0.0934,
      0.5232,
      0.5501,
      0.2419,
      0.2816,
      0.3427,
      0.2232,
      0.4277,
      0.1304,
      0.4213,
      0.0983,
      0.3114,
      0.6382,
      0.5414,
      0.5407,
      0.3593,
      0.3494,
      0.3289,
      0.2881,
      0.425,
      0.3745,
      0.1568,
      0.263,
      0.4959,
      0.2136,
      0.3511,
      0.5082,
      0.2455,
      0.421,
      0.5443,
      0.0615,
      0.2829,
      0.3029,
      0.2189,
      0.2132,
      0.292,
      0.3101,
      0.3489,
      0.3926,
      0.3333,
      0.5395,
      0.2009,
      0.3854,
      0.6366,
      0.4598,
      0.6101,
      0.3124,
      0.5817,
      0.1894,
      0.105,
      0.4319,
      0.2331,
      0.3065,
      0.4689,
      0.5101,
      0.4056,
      0.4747,
      0.6651,
      0.4998,
      0.3249,
      0.4205,
      0.3002,
      0.3771,
      0.334,
      0.1954,
      0.395,
      0.3888,
      0.3266,
      0.5392,
      0.359,
      0.4752,
      0.6712,
      0.4437,
      0.4322,
      0.1836,
      0.2225,
      0.5124,
      0.278,
      0.3319,
      0.4152,
      0.4933,
      0.5224,
      0.4409,
      0.3803,
      0.6103,
      0.6794,
      0.3031,
      0.373,
      0.471,
      0.3347,
      0.381,
      0.3646,
      0.1228,
      0.4958,
      0.5243,
      0.2059,
      0.3458,
      0.3163,
      0.0342,
      0.5935,
      0.2724,
      0.4089,
      0.5749,
      0.6811,
      0.4222,
      0.3006,
      0.4097,
      0.2932,
      0.2569,
      0.3039,
      0.4376,
      0.3762,
      0.218,
      0.5224,
      0.2946,
      0.1515,
      0.6311,
      0.2114,
      0.5209,
      0.3564,
      0.3973,
      0.4973,
      0.2843,
      0.1641,
      0.3838,
      0.1705,
      0.0682,
      0.5489,
      0.3003,
      0.3892,
      0.6317,
      0.2533,
      0.4198,
      0.2636,
      0.3627,
      0.3902,
      0.2477,
      0.215,
      0.2766,
      0,
      0,
      0,
      0,
      0,
      0,
      0.238,
      0.4112,
      0.2576,
      0.2152,
      0.1726,
      0.2065,
      0.3493,
      0.0721,
      0.179,
      0.1701,
      0.2285,
      0.2824,
      0.504,
      0.1922,
      0.1959,
      0.3831,
      0.4369,
      0.3088,
      0.2487,
      0.2692,
      0.429,
      0.1241,
      0.4901,
      0.3762,
      0.1584,
      0.1942,
      0.0152,
      0.1783,
      0.235,
      0.3308,
      0.2895,
      0.2496,
      0.3625,
      0.2878,
      0.2661,
      0.6048,
      0.1892,
      0.5118,
      0.4142,
      0.403,
      0.3618,
      0.3657,
      0.3548,
      0.4792,
      0.3604,
      0.3491,
      0.3095,
      0.3645,
      0.2367,
      0.6141,
      0.1724,
      0.3475,
      0.557,
      0.1552,
      0.1917,
      0.0963,
      0.4069,
      0.2779,
      0.2691,
      0.5348,
      0.3356,
      0.3158,
      0.0563,
      0.5448,
      0.4405,
      0,
      0.5999,
      0.085,
      0.0512,
      0.2486,
      0.4372,
      0,
      0.4475,
      0.2004,
      0.5072,
      0.1282,
      0.1318,
      0.4759,
      0.1915,
      0.185,
      0.6211,
      0.5097,
      0.3343,
      0.2503,
      0.3434,
      0.2872,
      0,
      0.2007,
      0.2634,
      0.4072,
      0.4214,
      0.4198,
      0.3595,
      0.106,
      0.6269,
      0.1671,
      0,
      0.4686,
      0.2739,
      0.4741,
      0.4736,
      0.3921,
      0.434,
      0.3837,
      0.2216,
      0.4459,
      0.1748,
      0.3921,
      0.5996,
      0.6683,
      0.2867,
      0.5827,
      0.3374,
      0.4456,
      0.4251,
      0.6203,
      0.2094,
      0.097,
      0.3943,
      0.3744,
      0.1515,
      0.2959,
      0.4788,
      0.6019,
      0.3721,
      0.555,
      0.2217,
      0.3336,
      0.3967,
      0.4559,
      0.5629,
      0.2747,
      0.3263,
      0.3713,
      0.3673,
      0.1543,
      0.3848,
      0.3499,
      0.3944,
      0.5726,
      0.6417,
      0.376,
      0.2705,
      0.357,
      0.3581,
      0.2781,
      0.2733,
      0.2975,
      0.4483,
      0.3717,
      0.5103,
      0.1495,
      0,
      0.5937,
      0.1967,
      0,
      0.4827,
      0.4455,
      0.1447,
      0.1893,
      0.398,
      0.3316,
      0.1556,
      0.0636,
      0.3663,
      0.1115,
      0.2324,
      0.5819,
      0.443,
      0.2934,
      0.4729,
      0.4397,
      0.1123,
      0.2631,
      0.4723,
      0.5041,
      0.2432,
      0.2588,
      0.3834,
      0.2819,
      0.3598,
      0.5334,
      0.2137,
      0.4341,
      0.5761,
      0.1612,
      0.3479,
      0.1419,
      0.1422,
      0.3746,
      0.3182,
      0.2208,
      0.3319,
      0.2848,
      0.3237,
      0.5077,
      0.0424,
      0.1829,
      0.6174,
      0.5276,
      0.3744,
      0.318,
      0.5907,
      0.2477,
      0.1021,
      0.3758,
      0.3213,
      0.2499,
      0.3694,
      0.4391,
      0.2028,
      0.4876,
      0.6334,
      0.4271,
      0.3341,
      0.2799,
      0.1826,
      0.2844,
      0.3388,
      0.2461,
      0.3014,
      0.2704,
      0.4661,
      0.4775,
      0.2677,
      0.2817,
      0.6165,
      0.6332,
      0.3723,
      0.3369,
      0.4003,
      0.4043,
      0.241,
      0.3069,
      0.2811,
      0.4383,
      0.349,
      0.4046,
      0.2296,
      0.3595,
      0.6157,
      0.4314,
      0.4181,
      0.4673,
      0.339,
      0.3154,
      0.1388,
      0,
      0.4733,
      0.4234,
      0.1961,
      0.3439,
      0.3209,
      0.0109,
      0.5991,
      0.2304,
      0.2329,
      0.5793,
      0.4392,
      0.0769,
      0.1028,
      0.2625,
      0.5149,
      0.1458,
      0.2656,
      0.364,
      0.275,
      0.1328,
      0.4625,
      0.3628,
      0,
      0.5677,
      0.1282,
      0.5771,
      0.3048,
      0.3556,
      0.3956,
      0.1533,
      0.1545,
      0.3027,
      0.1437,
      0.1249,
      0.4998,
      0.1239,
      0.1525,
      0.6035,
      0.0741,
      0.2325,
      0.2543,
      0.1981,
      0.3114,
      0.0025,
      0.1728,
      0.3499,
      0.1972,
      0,
      0,
      0,
      0,
      0,
      0.3379,
      0.5464,
      0.2822,
      0.337,
      0.3184,
      0.1711,
      0.379,
      0.0896,
      0.1867,
      0.1098,
      0.1184,
      0.312,
      0.2796,
      0.1835,
      0.2876,
      0.2867,
      0.3605,
      0.3683,
      0.1447,
      0.2012,
      0.4624,
      0.1333,
      0.4829,
      0.426,
      0.1153,
      0.3423,
      0.1157,
      0.134,
      0.2714,
      0.5373,
      0.4061,
      0.4054,
      0.5828,
      0.3258,
      0.5996,
      0.6243,
      0.1187,
      0.5107,
      0.5883,
      0.3326,
      0.3768,
      0.6332,
      0.4909,
      0.5486,
      0.5165,
      0.4521,
      0.2242,
      0.4769,
      0.4121,
      0.5936,
      0.2285,
      0.2759,
      0.6127,
      0.391,
      0.2766,
      0.1242,
      0.4122,
      0.438,
      0.248,
      0.5013,
      0.4998,
      0.6502,
      0.1578,
      0.5722,
      0.6041,
      0.2715,
      0.66,
      0.1204,
      0.427,
      0.3487,
      0.4393,
      0.2434,
      0.5085,
      0.4535,
      0.4213,
      0.2161,
      0.1461,
      0.4387,
      0.3153,
      0.1691,
      0.6411,
      0.6089,
      0.5259,
      0.3325,
      0.3717,
      0.5192,
      0.0816,
      0.303,
      0.2237,
      0.3818,
      0.5095,
      0.4268,
      0.5089,
      0.2274,
      0.6162,
      0.3639,
      0.1613,
      0.4937,
      0.253,
      0.6096,
      0.6014,
      0.5206,
      0.5134,
      0.5702,
      0.3255,
      0.3815,
      0.2456,
      0.4879,
      0.6336,
      0.51,
      0.3153,
      0.6128,
      0.582,
      0.5411,
      0.1698,
      0.5182,
      0.4155,
      0.0105,
      0.3681,
      0.3901,
      0.0758,
      0.3141,
      0.4584,
      0.5967,
      0.5624,
      0.5928,
      0.2045,
      0.1961,
      0.4641,
      0.4688,
      0.6348,
      0.5245,
      0.5361,
      0.4975,
      0.6139,
      0.4951,
      0.3751,
      0.5764,
      0.5037,
      0.6123,
      0.4375,
      0.5573,
      0.4773,
      0.4922,
      0.593,
      0.5145,
      0.5533,
      0.4761,
      0.6755,
      0.3857,
      0.4525,
      0.4708,
      0.1864,
      0.5954,
      0.4911,
      0.2537,
      0.5534,
      0.479,
      0.4092,
      0.3117,
      0.3936,
      0.4239,
      0.2041,
      0.0166,
      0.3794,
      0.2703,
      0.4432,
      0.5911,
      0.4225,
      0.5918,
      0.5096,
      0.4435,
      0.168,
      0.4007,
      0.5028,
      0.3971,
      0.3726,
      0.2242,
      0.3354,
      0.6584,
      0.6394,
      0.5199,
      0.5854,
      0.4313,
      0.641,
      0.5371,
      0.4475,
      0.2388,
      0.0977,
      0.5355,
      0.505,
      0.451,
      0.392,
      0.2928,
      0.2924,
      0.5296,
      0.261,
      0.2122,
      0.6812,
      0.4934,
      0.6157,
      0.3287,
      0.6201,
      0.3339,
      0.0689,
      0.4314,
      0.4282,
      0.1354,
      0.4572,
      0.3849,
      0.1087,
      0.7434,
      0.6517,
      0.2569,
      0.2849,
      0.6132,
      0.138,
      0.4106,
      0.4016,
      0.2662,
      0.2643,
      0.2627,
      0.426,
      0.6432,
      0.5676,
      0.4448,
      0.5956,
      0.5134,
      0.5523,
      0.4892,
      0.4581,
      0.5185,
      0.4831,
      0.4535,
      0.4539,
      0.4743,
      0.5413,
      0.4479,
      0.3669,
      0.5227,
      0.6076,
      0.4785,
      0.5431,
      0.5743,
      0.5664,
      0.2763,
      0.336,
      0.1372,
      0.5113,
      0.4081,
      0.1835,
      0.3965,
      0.5559,
      0.1543,
      0.6054,
      0.522,
      0.3476,
      0.6319,
      0.2251,
      0.1619,
      0.1344,
      0.361,
      0.553,
      0.0344,
      0.4339,
      0.3788,
      0.2184,
      0.205,
      0.4776,
      0.3782,
      0.176,
      0.6224,
      0.0044,
      0.6568,
      0.3885,
      0.2942,
      0.3042,
      0.2166,
      0.3185,
      0.4059,
      0.3151,
      0.4176,
      0.4098,
      0.2026,
      0.1074,
      0.5966,
      0.18,
      0.3329,
      0.287,
      0.3403,
      0.2684,
      0.0414,
      0.2182,
      0.4358,
      0.35,
      0.1742,
      0,
      0,
      0,
      0,
      0.2828,
      0.3768,
      0.1824,
      0.319,
      0.2323,
      0.1811,
      0.0707,
      0.0815,
      0.1601,
      0.2334,
      0.183,
      0.2893,
      0.2434,
      0.1655,
      0.2075,
      0.3245,
      0.3475,
      0.2605,
      0.0449,
      0.2606,
      0.1759,
      0.0991,
      0.4598,
      0.2712,
      0.1633,
      0.2442,
      0.2233,
      0.1827,
      0.1381,
      0.3278,
      0.2351,
      0.3105,
      0.3741,
      0.361,
      0.3357,
      0.594,
      0.0884,
      0.1769,
      0.4266,
      0.4414,
      0.3008,
      0.2395,
      0.5038,
      0.3477,
      0.4153,
      0.3681,
      0.2564,
      0.3284,
      0.4173,
      0.5579,
      0.1676,
      0.2812,
      0.4782,
      0.1915,
      0.1926,
      0.0984,
      0.4737,
      0.3784,
      0.2018,
      0.4611,
      0.4217,
      0.3901,
      0,
      0.522,
      0.4341,
      0,
      0.4936,
      0.0343,
      0.0491,
      0.3135,
      0.3832,
      0.0278,
      0.4217,
      0.1643,
      0.4439,
      0.1437,
      0.2618,
      0.4377,
      0.1627,
      0.137,
      0.5521,
      0.3578,
      0.4198,
      0.1476,
      0.4222,
      0.2395,
      0,
      0.2031,
      0.232,
      0.4084,
      0.4323,
      0.4073,
      0.3126,
      0.0543,
      0.5807,
      0.1077,
      0,
      0.4347,
      0.4653,
      0.5602,
      0.4725,
      0.4334,
      0.5109,
      0.3905,
      0.2367,
      0.3442,
      0.2411,
      0.472,
      0.518,
      0.5025,
      0.3082,
      0.4968,
      0.6333,
      0.4033,
      0.2598,
      0.3904,
      0.3661,
      0.0928,
      0.5039,
      0.3587,
      0.1167,
      0.3534,
      0.4866,
      0.258,
      0.4997,
      0.4751,
      0.2446,
      0.1648,
      0.23,
      0.4742,
      0.3097,
      0.365,
      0.4945,
      0.6119,
      0.3043,
      0.2836,
      0.3782,
      0.3101,
      0.4409,
      0.5138,
      0.3634,
      0.4418,
      0.196,
      0.4879,
      0.4764,
      0.2036,
      0.5307,
      0.2534,
      0.3724,
      0.4156,
      0.394,
      0.122,
      0.0209,
      0.5488,
      0.067,
      0.0434,
      0.4081,
      0.4623,
      0.2086,
      0.2422,
      0.2426,
      0.237,
      0.0921,
      0.0101,
      0.3908,
      0.0593,
      0.3741,
      0.574,
      0.319,
      0.3152,
      0.4493,
      0.2961,
      0.2372,
      0.0804,
      0.477,
      0.2782,
      0.1893,
      0.2079,
      0.3501,
      0.2611,
      0.3903,
      0.4835,
      0.4402,
      0.33,
      0.4822,
      0.193,
      0.2928,
      0.0196,
      0.0566,
      0.3061,
      0.3155,
      0.1686,
      0.3199,
      0.2316,
      0.2273,
      0.4803,
      0.0684,
      0.2449,
      0.5759,
      0.594,
      0.4421,
      0.2374,
      0.3891,
      0.2006,
      0.0597,
      0.5433,
      0.4343,
      0.155,
      0.4125,
      0.4123,
      0.1661,
      0.5089,
      0.561,
      0.345,
      0.22,
      0.2438,
      0.1129,
      0.4202,
      0.4871,
      0.4128,
      0.238,
      0.2503,
      0.499,
      0.6153,
      0.3314,
      0.373,
      0.5776,
      0.4416,
      0.4071,
      0.2189,
      0.4663,
      0.4599,
      0.2294,
      0.4166,
      0.1903,
      0.352,
      0.3016,
      0.358,
      0.286,
      0.3807,
      0.5624,
      0.4079,
      0.5158,
      0.4482,
      0.4996,
      0.256,
      0.1567,
      0,
      0.3532,
      0.4063,
      0.0843,
      0.3977,
      0.2137,
      0,
      0.5565,
      0.4714,
      0.3633,
      0.4739,
      0.1814,
      0.2295,
      0.0858,
      0.2464,
      0.4775,
      0,
      0.5784,
      0.4156,
      0.2808,
      0.0765,
      0.6639,
      0.2947,
      0.096,
      0.5413,
      0.1121,
      0.4169,
      0.13,
      0.312,
      0.2942,
      0.1591,
      0.1829,
      0.3972,
      0.2596,
      0.309,
      0.3875,
      0.051,
      0.049,
      0.5561,
      0.064,
      0.261,
      0.2828,
      0.2624,
      0.2415,
      0.304,
      0.211,
      0.2541,
      0.1846,
      0,
      0,
      0,
      0,
      0,
      0.2287,
      0.3037,
      0.1467,
      0.2084,
      0.1214,
      0.1271,
      0.0492,
      0.0454,
      0.1969,
      0.143,
      0.1758,
      0.3367,
      0.3037,
      0.2081,
      0.1133,
      0.5339,
      0.2959,
      0.1171,
      0.0564,
      0.366,
      0.1608,
      0.1011,
      0.4329,
      0.1017,
      0.1507,
      0.1743,
      0.1636,
      0.0777,
      0.1568,
      0.2408,
      0.4097,
      0.3058,
      0.4135,
      0.0946,
      0.1889,
      0.6197,
      0.1444,
      0.1891,
      0.4573,
      0.2676,
      0.3227,
      0.3609,
      0.3095,
      0.3273,
      0.3603,
      0.4687,
      0.5629,
      0.3107,
      0.6323,
      0.6254,
      0.309,
      0.2453,
      0.6079,
      0.1643,
      0.1983,
      0.112,
      0.4121,
      0.2519,
      0.3094,
      0.5126,
      0.4412,
      0.2963,
      0,
      0.4501,
      0.3329,
      0,
      0.6248,
      0.1204,
      0.0634,
      0.3498,
      0.2946,
      0.0334,
      0.4761,
      0.2757,
      0.4411,
      0.1564,
      0.3582,
      0.5073,
      0.1734,
      0.2543,
      0.6583,
      0.2089,
      0.2502,
      0.2121,
      0.3831,
      0.1982,
      0,
      0.2158,
      0.2693,
      0.3244,
      0.2704,
      0.4894,
      0.1027,
      0.0523,
      0.6288,
      0,
      0.1618,
      0.5033,
      0.5333,
      0.6418,
      0.4185,
      0.2607,
      0.3068,
      0.2529,
      0.2961,
      0.368,
      0.3273,
      0.2117,
      0.5843,
      0.4872,
      0.1176,
      0.6172,
      0.5104,
      0.4084,
      0.4493,
      0.3546,
      0.0798,
      0,
      0.3555,
      0.3185,
      0.1333,
      0.4073,
      0.5269,
      0.2494,
      0.4063,
      0.586,
      0.2705,
      0.1172,
      0.3481,
      0.3269,
      0.3887,
      0.3555,
      0.2294,
      0.6129,
      0.2165,
      0.2131,
      0.4118,
      0.4005,
      0.4399,
      0.6217,
      0.5597,
      0.3021,
      0.2705,
      0.605,
      0.3241,
      0.2558,
      0.4409,
      0.2755,
      0.3305,
      0.4398,
      0.5174,
      0.0163,
      0.0286,
      0.5984,
      0,
      0,
      0.4069,
      0.3926,
      0.0422,
      0.1141,
      0.2727,
      0.2931,
      0.194,
      0.0647,
      0.4703,
      0.1451,
      0.3466,
      0.6171,
      0.3846,
      0.2808,
      0.5117,
      0.3447,
      0.2553,
      0.3603,
      0.4714,
      0.261,
      0.0356,
      0.2267,
      0.3367,
      0.1185,
      0.2563,
      0.4809,
      0.2478,
      0.3843,
      0.6178,
      0.2008,
      0.1524,
      0.072,
      0.2329,
      0.1977,
      0.1929,
      0.2437,
      0.3761,
      0.2534,
      0.1696,
      0.4469,
      0.236,
      0.3894,
      0.6253,
      0.593,
      0.3652,
      0.0783,
      0.4355,
      0.143,
      0.0449,
      0.4748,
      0.3355,
      0.1298,
      0.4134,
      0.5108,
      0.1993,
      0.3488,
      0.6696,
      0.4621,
      0.427,
      0.1369,
      0.1254,
      0.1094,
      0.4874,
      0.455,
      0.397,
      0.359,
      0.501,
      0.4686,
      0.4437,
      0.3013,
      0.6232,
      0.5051,
      0.2314,
      0.2457,
      0.6381,
      0.3652,
      0.2601,
      0.2827,
      0.2587,
      0.2503,
      0.2455,
      0.3569,
      0.4142,
      0.2021,
      0.6225,
      0.3802,
      0.4452,
      0.4949,
      0.4335,
      0.3349,
      0.1359,
      0,
      0.4495,
      0.4324,
      0.1441,
      0.5457,
      0.1899,
      0,
      0.4742,
      0.3703,
      0.5049,
      0.6277,
      0.1248,
      0.395,
      0.0282,
      0.3136,
      0.4816,
      0,
      0.4356,
      0.376,
      0.0797,
      0.1723,
      0.4332,
      0.1052,
      0.1499,
      0.5975,
      0.1174,
      0.4284,
      0.2306,
      0.2728,
      0.3047,
      0.2357,
      0.3207,
      0.4951,
      0.2501,
      0.0937,
      0.5091,
      0.0906,
      0.1459,
      0.6322,
      0.1134,
      0.2538,
      0.2918,
      0.2445,
      0.4212,
      0.1876,
      0.2557,
      0.315,
      0.0092,
      0,
      0,
      0,
      0,
      0,
      0.3591,
      0.4285,
      0.2035,
      0.32,
      0.1622,
      0.0633,
      0.0998,
      0.1727,
      0.3019,
      0.1775,
      0.2055,
      0.5292,
      0.3068,
      0.2914,
      0.2731,
      0.5222,
      0.1925,
      0.2358,
      0.1531,
      0.4133,
      0.1103,
      0.2058,
      0.4582,
      0.0701,
      0.1818,
      0.4511,
      0.2181,
      0.1369,
      0.2293,
      0.4773,
      0.4173,
      0.5173,
      0.4337,
      0.1843,
      0.2401,
      0.6739,
      0.2474,
      0.2148,
      0.6498,
      0.5283,
      0.5844,
      0.6354,
      0.4569,
      0.5751,
      0.362,
      0.5667,
      0.6377,
      0.2844,
      0.438,
      0.6634,
      0.4357,
      0.2859,
      0.5849,
      0.4485,
      0.2276,
      0.1859,
      0.4611,
      0.3197,
      0.3425,
      0.6378,
      0.5626,
      0.486,
      0,
      0.5899,
      0.2958,
      0.2194,
      0.6049,
      0.1676,
      0.1602,
      0.351,
      0.1227,
      0.0248,
      0.5182,
      0.2787,
      0.5123,
      0.2766,
      0.3537,
      0.4783,
      0.258,
      0.3009,
      0.6978,
      0.3127,
      0.3868,
      0.4064,
      0.3941,
      0.1956,
      0.2374,
      0.2827,
      0.1413,
      0.3796,
      0.1977,
      0.398,
      0.1965,
      0.1705,
      0.7129,
      0,
      0.2889,
      0.4871,
      0.5233,
      0.572,
      0.6874,
      0.391,
      0.4904,
      0.2363,
      0.285,
      0.4426,
      0.4656,
      0.1633,
      0.6257,
      0.5034,
      0.1313,
      0.5871,
      0.4367,
      0.4427,
      0.5932,
      0.4628,
      0.2901,
      0.0617,
      0.3895,
      0.4014,
      0.219,
      0.4104,
      0.5878,
      0.4655,
      0.6428,
      0.6455,
      0.1833,
      0.3394,
      0.547,
      0.3436,
      0.5413,
      0.3007,
      0.4278,
      0.375,
      0.2912,
      0.171,
      0.449,
      0.5785,
      0.6426,
      0.6316,
      0.5845,
      0.493,
      0.6059,
      0.4139,
      0.2321,
      0.2986,
      0.2878,
      0.2439,
      0.3409,
      0.6737,
      0.4629,
      0.106,
      0.2485,
      0.6811,
      0.1211,
      0.0894,
      0.6975,
      0.3905,
      0.1212,
      0.2504,
      0.2572,
      0.2123,
      0.3188,
      0.1479,
      0.4608,
      0.1494,
      0.3968,
      0.6795,
      0.3736,
      0.568,
      0.5018,
      0.6304,
      0.3339,
      0.2423,
      0.4246,
      0.2628,
      0.1696,
      0.2452,
      0.4217,
      0.1852,
      0.4585,
      0.5852,
      0.2762,
      0.5165,
      0.5763,
      0.2779,
      0.2517,
      0.2622,
      0.3271,
      0.3374,
      0.1885,
      0.2141,
      0.3513,
      0.2412,
      0.3764,
      0.5738,
      0.2925,
      0.4222,
      0.6682,
      0.416,
      0.4071,
      0.2501,
      0.487,
      0.2088,
      0.0129,
      0.3514,
      0.2653,
      0.2155,
      0.6204,
      0.4358,
      0.2365,
      0.2591,
      0.7016,
      0.5312,
      0.5528,
      0.1953,
      0.245,
      0.182,
      0.4181,
      0.4201,
      0.5337,
      0.4181,
      0.6113,
      0.5575,
      0.6877,
      0.6318,
      0.6648,
      0.6163,
      0.3372,
      0.6291,
      0.5874,
      0.3501,
      0.3296,
      0.389,
      0.2723,
      0.3355,
      0.2252,
      0.5199,
      0.5274,
      0.3199,
      0.6964,
      0.4747,
      0.5743,
      0.4823,
      0.5384,
      0.483,
      0.1912,
      0.081,
      0.514,
      0.6781,
      0.1826,
      0.6383,
      0.1023,
      0.0612,
      0.6315,
      0.4959,
      0.3749,
      0.5853,
      0.177,
      0.4622,
      0.2603,
      0.3388,
      0.3847,
      0.1018,
      0.2785,
      0.404,
      0.2138,
      0.2893,
      0.5666,
      0.0983,
      0.1768,
      0.6375,
      0.2143,
      0.4864,
      0.304,
      0.3576,
      0.3609,
      0.4874,
      0.5013,
      0.4797,
      0.2759,
      0.1784,
      0.4109,
      0,
      0.1175,
      0.6962,
      0.4094,
      0.3633,
      0.2622,
      0.3296,
      0.5345,
      0.0673,
      0.23,
      0.3344,
      0.0576,
      0,
      0,
      0,
      0,
      0,
      0.2065,
      0.5191,
      0.3829,
      0.4011,
      0.2217,
      0.1044,
      0.0577,
      0.3141,
      0.2283,
      0.5444,
      0.3174,
      0.335,
      0.425,
      0.6046,
      0.4768,
      0.5991,
      0.1785,
      0.134,
      0.22,
      0.4855,
      0.1024,
      0.5056,
      0.4661,
      0.1405,
      0.3071,
      0.4599,
      0.5292,
      0.4071,
      0.2967,
      0.3499,
      0.24,
      0.5093,
      0.519,
      0.3355,
      0.3091,
      0.667,
      0.2555,
      0.2835,
      0.6415,
      0.3368,
      0.503,
      0.3637,
      0.3149,
      0.528,
      0.7127,
      0.3219,
      0.5993,
      0.6245,
      0.3251,
      0.6461,
      0.382,
      0.408,
      0.499,
      0.1573,
      0.3193,
      0.1759,
      0.3564,
      0.3011,
      0.3459,
      0.4767,
      0.3073,
      0.3702,
      0.0807,
      0.5774,
      0.3715,
      0.1308,
      0.612,
      0.6068,
      0.0664,
      0.2887,
      0.3875,
      0.2024,
      0.4571,
      0.2176,
      0.5263,
      0.3823,
      0.4298,
      0.3657,
      0.3623,
      0.4869,
      0.6374,
      0.425,
      0.4199,
      0.2671,
      0.3369,
      0.3133,
      0,
      0.2658,
      0.336,
      0.5939,
      0.1924,
      0.3733,
      0.1754,
      0.3303,
      0.6604,
      0.0647,
      0.1678,
      0.4206,
      0.2408,
      0.4736,
      0.5632,
      0.38,
      0.5107,
      0.2604,
      0.2446,
      0.3494,
      0.5823,
      0.2101,
      0.5737,
      0.5163,
      0.106,
      0.5245,
      0.4913,
      0.6008,
      0.3718,
      0.2736,
      0.1244,
      0.0449,
      0.3255,
      0.2811,
      0.2236,
      0.6535,
      0.4954,
      0.3492,
      0.4692,
      0.617,
      0.3423,
      0.367,
      0.2885,
      0.2874,
      0.5384,
      0.5615,
      0.4256,
      0.388,
      0.4895,
      0.4357,
      0.4832,
      0.5101,
      0.3266,
      0.593,
      0.4284,
      0.362,
      0.2233,
      0.4255,
      0.3618,
      0.3651,
      0.3679,
      0.4422,
      0.2118,
      0.4402,
      0.3867,
      0.1048,
      0,
      0.644,
      0.1544,
      0,
      0.535,
      0.5481,
      0.1315,
      0.1707,
      0.3166,
      0.257,
      0.4196,
      0.1886,
      0.3681,
      0.1153,
      0.4428,
      0.6612,
      0.4279,
      0.4227,
      0.414,
      0.4137,
      0.3334,
      0.4027,
      0.4681,
      0.41,
      0.3065,
      0.248,
      0.5282,
      0.2111,
      0.4646,
      0.5418,
      0.4545,
      0.3577,
      0.5276,
      0.3475,
      0.2222,
      0.3114,
      0.3075,
      0.2457,
      0.2791,
      0.2269,
      0.3352,
      0.3273,
      0.2033,
      0.4949,
      0.2209,
      0.249,
      0.6185,
      0.5615,
      0.5716,
      0.3969,
      0.4106,
      0.1772,
      0.048,
      0.2999,
      0.3115,
      0.2236,
      0.3968,
      0.3697,
      0.2683,
      0.3476,
      0.6216,
      0.4615,
      0.5247,
      0.2121,
      0.1875,
      0.2057,
      0.6506,
      0.2249,
      0.6922,
      0.5516,
      0.2467,
      0.6261,
      0.5274,
      0.3672,
      0.6567,
      0.3071,
      0.4225,
      0.269,
      0.4134,
      0.4155,
      0.4073,
      0.2556,
      0.5095,
      0.3093,
      0.4616,
      0.5711,
      0.5743,
      0.4908,
      0.6565,
      0.3553,
      0.5167,
      0.5431,
      0.3575,
      0.5202,
      0.5204,
      0.2151,
      0.4642,
      0.4928,
      0.1801,
      0.5246,
      0.1256,
      0,
      0.557,
      0.6293,
      0.2526,
      0.5403,
      0.2315,
      0.2953,
      0.3534,
      0.2782,
      0.3217,
      0.1616,
      0.2258,
      0.3432,
      0.2099,
      0.351,
      0.5065,
      0.2018,
      0.1356,
      0.6209,
      0.1462,
      0.4488,
      0.2969,
      0.3904,
      0.4945,
      0.2481,
      0.3841,
      0.2172,
      0.2468,
      0.338,
      0.4669,
      0.4521,
      0.377,
      0.6528,
      0.3502,
      0.367,
      0.2863,
      0.2017,
      0.431,
      0.2631,
      0.2853,
      0.3425,
      0.0841,
      0.1212,
      0.091,
      0,
      0,
      0,
      0.1678,
      0.5346,
      0.4164,
      0.3893,
      0.2682,
      0.0799,
      0.1966,
      0.4071,
      0.2426,
      0.4205,
      0.4333,
      0.2098,
      0.5922,
      0.6095,
      0.508,
      0.5025,
      0.1857,
      0.0468,
      0.3509,
      0.4578,
      0.1506,
      0.4627,
      0.4676,
      0.1366,
      0.2937,
      0.3814,
      0.509,
      0.316,
      0.3271,
      0.3093,
      0.2075,
      0.2895,
      0.5455,
      0.2515,
      0.3563,
      0.6622,
      0.3957,
      0.3686,
      0.5705,
      0.3539,
      0.4745,
      0.3624,
      0.4242,
      0.5876,
      0.6846,
      0.1926,
      0.5911,
      0.6482,
      0.3361,
      0.6575,
      0.3838,
      0.4534,
      0.536,
      0.1695,
      0.3102,
      0.2184,
      0.3368,
      0.2106,
      0.4641,
      0.4232,
      0.4112,
      0.2219,
      0.0554,
      0.6063,
      0.3696,
      0.1397,
      0.6785,
      0.6106,
      0.1035,
      0.2645,
      0.4045,
      0.0256,
      0.3849,
      0.1339,
      0.4843,
      0.4541,
      0.4384,
      0.4186,
      0.3816,
      0.6217,
      0.573,
      0.3532,
      0.4627,
      0.2089,
      0.3507,
      0.3101,
      0.0002,
      0.2919,
      0.3285,
      0.6027,
      0.2497,
      0.4086,
      0.2142,
      0.3251,
      0.5931,
      0.0741,
      0.1198,
      0.449,
      0.1874,
      0.4596,
      0.5792,
      0.4483,
      0.6363,
      0.2445,
      0.1592,
      0.4023,
      0.6252,
      0.1898,
      0.6162,
      0.5501,
      0.1133,
      0.5847,
      0.484,
      0.5811,
      0.252,
      0.3521,
      0.0673,
      0,
      0.3394,
      0.3262,
      0.2305,
      0.6077,
      0.5529,
      0.4025,
      0.5031,
      0.5352,
      0.4005,
      0.4102,
      0.2139,
      0.2391,
      0.3075,
      0.5172,
      0.4131,
      0.4065,
      0.5825,
      0.4459,
      0.5397,
      0.5861,
      0.4613,
      0.6166,
      0.2671,
      0.5234,
      0.289,
      0.3745,
      0.5017,
      0.1992,
      0.3214,
      0.4857,
      0.2145,
      0.4324,
      0.4692,
      0.102,
      0,
      0.5906,
      0.1563,
      0.0617,
      0.4553,
      0.5143,
      0.109,
      0.2732,
      0.2765,
      0.2827,
      0.4207,
      0.1369,
      0.3941,
      0.0941,
      0.3872,
      0.635,
      0.4532,
      0.2666,
      0.4943,
      0.3509,
      0.229,
      0.4058,
      0.4431,
      0.3743,
      0.2779,
      0.2269,
      0.5377,
      0.1702,
      0.2318,
      0.6154,
      0.4965,
      0.2878,
      0.5354,
      0.2877,
      0.2703,
      0.2981,
      0.3028,
      0.2773,
      0.2693,
      0.1729,
      0.338,
      0.3073,
      0.1959,
      0.5499,
      0.148,
      0.2002,
      0.5773,
      0.5783,
      0.6122,
      0.4023,
      0.3889,
      0.1857,
      0.1123,
      0.2652,
      0.2124,
      0.3022,
      0.4366,
      0.4614,
      0.3228,
      0.4109,
      0.6706,
      0.2243,
      0.4869,
      0.3111,
      0.1203,
      0.3744,
      0.6344,
      0.122,
      0.6179,
      0.5685,
      0.2617,
      0.6124,
      0.5234,
      0.5477,
      0.6584,
      0.3643,
      0.5533,
      0.3268,
      0.4904,
      0.5722,
      0.2614,
      0.3192,
      0.5592,
      0.4642,
      0.4187,
      0.5058,
      0.6081,
      0.5372,
      0.6389,
      0.3713,
      0.457,
      0.5768,
      0.3081,
      0.5386,
      0.5477,
      0.2371,
      0.4942,
      0.4922,
      0.2786,
      0.4513,
      0.177,
      0,
      0.5139,
      0.6147,
      0.1702,
      0.5573,
      0.4123,
      0.0836,
      0.2879,
      0.2726,
      0.3277,
      0.2232,
      0.241,
      0.4142,
      0.1588,
      0.3911,
      0.5543,
      0.294,
      0.0173,
      0.5838,
      0.0179,
      0.3601,
      0.3904,
      0.2894,
      0.5384,
      0.1578,
      0.1179,
      0.3336,
      0.3566,
      0.3125,
      0.5272,
      0.3575,
      0.3265,
      0.5886,
      0.2085,
      0.4042,
      0.196,
      0.279,
      0.2683,
      0.3501,
      0.2336,
      0.3241,
      0.1341,
      0.0292,
      0,
      0,
      0,
      0,
      0.1223,
      0.6105,
      0.3926,
      0.3998,
      0.1992,
      0.1915,
      0.1806,
      0.1332,
      0.1889,
      0.1386,
      0.1501,
      0.1357,
      0.5795,
      0.3521,
      0.3821,
      0.3073,
      0.2018,
      0.02,
      0.3244,
      0.4511,
      0.2493,
      0.2332,
      0.3295,
      0.2628,
      0.1423,
      0.2722,
      0.2005,
      0.1597,
      0.2637,
      0.2133,
      0.2992,
      0.2611,
      0.3275,
      0.2022,
      0.1891,
      0.6187,
      0.1851,
      0.3177,
      0.4565,
      0.2977,
      0.2818,
      0.348,
      0.39,
      0.6319,
      0.3664,
      0.1777,
      0.3644,
      0.3415,
      0.2294,
      0.6304,
      0.2612,
      0.4884,
      0.5589,
      0.1419,
      0.2526,
      0.1295,
      0.2733,
      0.1985,
      0.3567,
      0.2989,
      0.3255,
      0.1467,
      0.1694,
      0.5224,
      0.2535,
      0.1313,
      0.6293,
      0.0737,
      0.0398,
      0.1626,
      0.3092,
      0.3073,
      0.3544,
      0.1533,
      0.5284,
      0.1922,
      0.2045,
      0.4734,
      0.2108,
      0.5546,
      0.6334,
      0.3849,
      0.1737,
      0.127,
      0.3903,
      0.269,
      0,
      0.3973,
      0.1897,
      0.4665,
      0.2924,
      0.4546,
      0.2859,
      0.0466,
      0.6783,
      0.3558,
      0.194,
      0.4326,
      0.3245,
      0.5424,
      0.6552,
      0.5468,
      0.5296,
      0.2122,
      0.1939,
      0.3802,
      0.2952,
      0.1977,
      0.5996,
      0.5096,
      0.1221,
      0.5846,
      0.3946,
      0.6017,
      0.2211,
      0.2732,
      0.0874,
      0.0047,
      0.3477,
      0.331,
      0.1467,
      0.1979,
      0.5728,
      0.3421,
      0.4218,
      0.5583,
      0.3367,
      0.4069,
      0.2896,
      0.2212,
      0.3188,
      0.2725,
      0.1347,
      0.445,
      0.2562,
      0.2504,
      0.4988,
      0.4223,
      0.4519,
      0.6647,
      0.4994,
      0.5597,
      0.2964,
      0.4789,
      0.3982,
      0.5103,
      0.3488,
      0.2994,
      0.2383,
      0.277,
      0.4522,
      0.1099,
      0.1485,
      0.6577,
      0.1982,
      0.1011,
      0.4447,
      0.457,
      0.2688,
      0.2058,
      0.3536,
      0.3554,
      0.1757,
      0.1142,
      0.4296,
      0.1259,
      0.229,
      0.6259,
      0.4184,
      0.3204,
      0.4392,
      0.3936,
      0.1244,
      0.2871,
      0.3955,
      0.231,
      0.0087,
      0.221,
      0.3312,
      0.1382,
      0.2699,
      0.6172,
      0.3565,
      0.2755,
      0.5812,
      0.2093,
      0.2777,
      0.1596,
      0.0401,
      0.3234,
      0.3243,
      0.2599,
      0.2889,
      0.2414,
      0.2519,
      0.5092,
      0.2996,
      0.3246,
      0.6597,
      0.5591,
      0.6316,
      0.399,
      0.3392,
      0.2644,
      0,
      0.2709,
      0.2341,
      0.2776,
      0.2644,
      0.4936,
      0.1768,
      0.4198,
      0.6611,
      0.236,
      0.3205,
      0.2587,
      0.023,
      0.3832,
      0.3756,
      0.2151,
      0.3744,
      0.216,
      0.404,
      0.5115,
      0.434,
      0.2856,
      0.6135,
      0.4131,
      0.5393,
      0.3175,
      0.4606,
      0.4077,
      0.4695,
      0.3618,
      0.2377,
      0.2843,
      0.327,
      0.3291,
      0.3866,
      0.6054,
      0.6411,
      0.6099,
      0.4274,
      0.4418,
      0.5092,
      0.3603,
      0.3846,
      0.0673,
      0.4546,
      0.4722,
      0.2816,
      0.5646,
      0.2069,
      0,
      0.5158,
      0.3463,
      0.2648,
      0.6017,
      0.4545,
      0.152,
      0.1287,
      0.3742,
      0.281,
      0.1008,
      0.2348,
      0.341,
      0.1375,
      0.2418,
      0.5297,
      0.4388,
      0.1922,
      0.6638,
      0.0679,
      0.3379,
      0.4526,
      0.3676,
      0.3906,
      0.1746,
      0.1153,
      0.3388,
      0.39,
      0.3566,
      0.5382,
      0.287,
      0.226,
      0.6745,
      0.2546,
      0.3743,
      0.2602,
      0.0896,
      0.2671,
      0.0765,
      0.1217,
      0.3608,
      0.0609,
      0.1476,
      0.1168,
      0,
      0,
      0,
      0.2756,
      0.5381,
      0.328,
      0.3512,
      0.141,
      0.1621,
      0.1409,
      0.0555,
      0.1723,
      0.1149,
      0.1146,
      0.211,
      0.385,
      0.3187,
      0.3191,
      0.3997,
      0.2192,
      0.1189,
      0.0679,
      0.3797,
      0.3156,
      0.292,
      0.3286,
      0.4807,
      0.2282,
      0.2758,
      0.1185,
      0.0972,
      0.2775,
      0.2458,
      0.4203,
      0.3906,
      0.3361,
      0.1551,
      0.2565,
      0.613,
      0.1365,
      0.4164,
      0.3692,
      0.2493,
      0.4965,
      0.4103,
      0.3952,
      0.6116,
      0.3341,
      0.3139,
      0.2475,
      0.3263,
      0.1569,
      0.6064,
      0.2595,
      0.4319,
      0.5597,
      0.1445,
      0.149,
      0.1405,
      0.3049,
      0.2883,
      0.3229,
      0.3582,
      0.2618,
      0.1897,
      0,
      0.5269,
      0.2913,
      0,
      0.6223,
      0.1252,
      0.112,
      0.0921,
      0.4244,
      0.0526,
      0.3502,
      0.2669,
      0.4623,
      0.1067,
      0.2331,
      0.2999,
      0.221,
      0.4875,
      0.6291,
      0.414,
      0.3274,
      0.1359,
      0.3783,
      0.2851,
      0,
      0.2812,
      0.1873,
      0.3973,
      0.3792,
      0.3527,
      0.3434,
      0.0889,
      0.6587,
      0,
      0,
      0.4511,
      0.392,
      0.4977,
      0.5351,
      0.4676,
      0.5757,
      0.1471,
      0.1488,
      0.2859,
      0.2679,
      0.3557,
      0.5661,
      0.436,
      0.2494,
      0.5738,
      0.2406,
      0.4642,
      0.2509,
      0.3537,
      0.146,
      0.0194,
      0.3156,
      0.2803,
      0.1006,
      0.23,
      0.558,
      0.399,
      0.4249,
      0.5544,
      0.1234,
      0.4854,
      0.5398,
      0.2624,
      0.5177,
      0.2003,
      0.2726,
      0.4491,
      0.2643,
      0.1226,
      0.4201,
      0.2909,
      0.3381,
      0.6449,
      0.4909,
      0.3355,
      0.3118,
      0.4866,
      0.5171,
      0.204,
      0.3601,
      0.1525,
      0.1162,
      0.4298,
      0.4552,
      0.1269,
      0,
      0.6132,
      0.1329,
      0.1357,
      0.2221,
      0.2564,
      0.0779,
      0.0442,
      0.4286,
      0.1639,
      0.1605,
      0.091,
      0.3572,
      0.1257,
      0.1305,
      0.604,
      0.3941,
      0.2943,
      0.4533,
      0.1925,
      0.2138,
      0.2255,
      0.2794,
      0.1709,
      0.2781,
      0.1671,
      0.2834,
      0.0991,
      0.3675,
      0.608,
      0.4032,
      0.2417,
      0.5695,
      0.3762,
      0.2396,
      0.1487,
      0.1365,
      0.3506,
      0.3683,
      0.1545,
      0.3012,
      0.1867,
      0.1403,
      0.5272,
      0,
      0.42,
      0.6615,
      0.5118,
      0.5564,
      0.3612,
      0.3322,
      0.1981,
      0.0042,
      0.2161,
      0.2753,
      0.1572,
      0.3179,
      0.333,
      0.0975,
      0.4017,
      0.6202,
      0.4394,
      0.3864,
      0.1685,
      0.0574,
      0.2967,
      0.4378,
      0.2661,
      0.2115,
      0.1744,
      0.4494,
      0.4829,
      0.3267,
      0.2612,
      0.6209,
      0.5999,
      0.345,
      0.4416,
      0.3779,
      0.5296,
      0.2908,
      0.3628,
      0.2601,
      0.2626,
      0.4195,
      0.4666,
      0.3378,
      0.4555,
      0.6515,
      0.495,
      0.4302,
      0.4217,
      0.4471,
      0.3019,
      0.2701,
      0,
      0.4662,
      0.2846,
      0.1843,
      0.6105,
      0.1464,
      0.0133,
      0.5309,
      0.4893,
      0.3685,
      0.5828,
      0.1648,
      0.1077,
      0.0954,
      0.2724,
      0.3922,
      0.1321,
      0.3156,
      0.2824,
      0.1365,
      0.1686,
      0.5465,
      0.5027,
      0.1946,
      0.667,
      0.0614,
      0.5233,
      0.339,
      0.2057,
      0.3087,
      0.4367,
      0.0084,
      0.3668,
      0.2246,
      0.2788,
      0.3112,
      0.084,
      0.0786,
      0.6348,
      0.1596,
      0.2463,
      0.2643,
      0.1575,
      0.2899,
      0.0834,
      0.1549,
      0.2162,
      0.0225,
      0,
      0,
      0,
      0,
      0,
      0.4027,
      0.3595,
      0.2053,
      0.325,
      0.2769,
      0.1976,
      0.1056,
      0.0879,
      0.2111,
      0.1082,
      0.1877,
      0.2713,
      0.3516,
      0.2959,
      0.224,
      0.3471,
      0.23,
      0.2563,
      0.0582,
      0.3905,
      0.4003,
      0.2694,
      0.3373,
      0.489,
      0.225,
      0.4075,
      0.2113,
      0.0875,
      0.3836,
      0.4657,
      0.4357,
      0.572,
      0.4077,
      0.162,
      0.4496,
      0.6716,
      0.2395,
      0.4393,
      0.391,
      0.5053,
      0.6271,
      0.5515,
      0.4943,
      0.6972,
      0.3737,
      0.4901,
      0.3697,
      0.3587,
      0.2917,
      0.7219,
      0.4055,
      0.3896,
      0.5837,
      0.3278,
      0.0701,
      0.1712,
      0.4071,
      0.4307,
      0.2716,
      0.3388,
      0.3035,
      0.4431,
      0,
      0.5555,
      0.3727,
      0.216,
      0.6365,
      0.0902,
      0.1831,
      0.1429,
      0.5061,
      0.1569,
      0.3849,
      0.4503,
      0.4409,
      0.2555,
      0.3317,
      0.3827,
      0.2131,
      0.4447,
      0.6752,
      0.6204,
      0.3495,
      0.1938,
      0.3893,
      0.5625,
      0.1752,
      0.3469,
      0.2653,
      0.3644,
      0.4984,
      0.375,
      0.4112,
      0.1259,
      0.6707,
      0.0485,
      0.3008,
      0.4709,
      0.5677,
      0.6847,
      0.412,
      0.3352,
      0.6943,
      0.3126,
      0.2202,
      0.3441,
      0.2165,
      0.4236,
      0.6667,
      0.4546,
      0.3466,
      0.5913,
      0.4419,
      0.518,
      0.4335,
      0.4154,
      0.2626,
      0,
      0.4854,
      0.3403,
      0.1613,
      0.2878,
      0.5974,
      0.4165,
      0.5789,
      0.5703,
      0.1814,
      0.695,
      0.5164,
      0.2585,
      0.512,
      0.1659,
      0.4695,
      0.3349,
      0.3196,
      0.372,
      0.4731,
      0.3809,
      0.4423,
      0.6642,
      0.5345,
      0.5565,
      0.5649,
      0.526,
      0.351,
      0.2676,
      0.6016,
      0.0918,
      0.3818,
      0.4114,
      0.4327,
      0.4763,
      0.2406,
      0.6644,
      0.4992,
      0.1699,
      0.2865,
      0.2755,
      0.2271,
      0.103,
      0.4587,
      0.1989,
      0.2286,
      0.0374,
      0.4578,
      0.1704,
      0.2216,
      0.6786,
      0.4308,
      0.6635,
      0.4745,
      0.1679,
      0.3235,
      0.2971,
      0.2662,
      0.2623,
      0.5852,
      0.2515,
      0.3559,
      0.4734,
      0.651,
      0.7094,
      0.5454,
      0.2929,
      0.6859,
      0.6132,
      0.3135,
      0.2946,
      0.1673,
      0.4798,
      0.4514,
      0.4545,
      0.3509,
      0.1845,
      0.0796,
      0.567,
      0.3101,
      0.5984,
      0.6672,
      0.4883,
      0.4182,
      0.2265,
      0.4783,
      0.2604,
      0.0564,
      0.5124,
      0.3418,
      0.1039,
      0.4542,
      0.4061,
      0.1469,
      0.7116,
      0.6604,
      0.3836,
      0.6063,
      0.422,
      0.1854,
      0.671,
      0.446,
      0.333,
      0.2452,
      0.2001,
      0.407,
      0.4981,
      0.324,
      0.3866,
      0.6392,
      0.5461,
      0.5436,
      0.5313,
      0.3861,
      0.4237,
      0.307,
      0.5946,
      0.2082,
      0.2444,
      0.5877,
      0.532,
      0.2556,
      0.4174,
      0.7395,
      0.4527,
      0.6239,
      0.463,
      0.4775,
      0.3227,
      0.3904,
      0.1471,
      0.5444,
      0.3523,
      0.2556,
      0.4446,
      0.3959,
      0.0606,
      0.5601,
      0.6137,
      0.3331,
      0.6046,
      0.188,
      0.225,
      0.0763,
      0.1631,
      0.5206,
      0.1145,
      0.3431,
      0.3334,
      0.1549,
      0.1552,
      0.5999,
      0.4121,
      0.1457,
      0.6821,
      0.2129,
      0.6357,
      0.371,
      0.1513,
      0.386,
      0.4304,
      0.227,
      0.4127,
      0.3684,
      0.1647,
      0.4554,
      0.1489,
      0.0202,
      0.6768,
      0.4348,
      0.3156,
      0.2341,
      0.3097,
      0.407,
      0.3235,
      0.2448,
      0.2688,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3055,
      0.2912,
      0.2651,
      0.3214,
      0.3098,
      0.1957,
      0.0956,
      0.0441,
      0.1745,
      0.1221,
      0.0586,
      0.2913,
      0.3102,
      0.2435,
      0.1959,
      0.3163,
      0.1693,
      0.2347,
      0.0547,
      0.4191,
      0.3372,
      0.1998,
      0.3611,
      0.4126,
      0.1981,
      0.3821,
      0.1378,
      0.1253,
      0.3675,
      0.3043,
      0.2424,
      0.5109,
      0.3361,
      0.1304,
      0.3808,
      0.6105,
      0.2427,
      0.1646,
      0.2182,
      0.5515,
      0.5627,
      0.2443,
      0.4318,
      0.4404,
      0.3121,
      0.3051,
      0.3468,
      0.3012,
      0.3091,
      0.6096,
      0.394,
      0.3691,
      0.5047,
      0.2347,
      0.1618,
      0.2311,
      0.4664,
      0.4793,
      0.35,
      0.4464,
      0.2709,
      0.3836,
      0.023,
      0.5251,
      0.2817,
      0,
      0.5557,
      0.1126,
      0.1204,
      0.1138,
      0.4016,
      0.0924,
      0.4414,
      0.3151,
      0.4534,
      0.1301,
      0.3747,
      0.414,
      0.2991,
      0.3908,
      0.6017,
      0.53,
      0.195,
      0.2445,
      0.3616,
      0.2936,
      0,
      0.3362,
      0.2595,
      0.3264,
      0.4921,
      0.3826,
      0.3523,
      0.079,
      0.6374,
      0.0992,
      0.0229,
      0.3821,
      0.3201,
      0.5892,
      0.2865,
      0.2884,
      0.323,
      0.2313,
      0.2531,
      0.3505,
      0.2505,
      0.4427,
      0.5417,
      0.4351,
      0.3913,
      0.5122,
      0.4257,
      0.4608,
      0.4738,
      0.4964,
      0.2881,
      0.03,
      0.647,
      0.3697,
      0.1597,
      0.2991,
      0.4125,
      0.2218,
      0.4515,
      0.4799,
      0.2449,
      0.6631,
      0.2819,
      0.2322,
      0.2846,
      0.1598,
      0.4002,
      0.3109,
      0.2046,
      0.2478,
      0.459,
      0.2289,
      0.4961,
      0.5769,
      0.4224,
      0.5106,
      0.381,
      0.4293,
      0.3209,
      0.0705,
      0.2906,
      0.2546,
      0.0779,
      0.3672,
      0.4144,
      0.1566,
      0.0191,
      0.6374,
      0.142,
      0.0967,
      0.1745,
      0.169,
      0.079,
      0.0953,
      0.2972,
      0.2575,
      0.2799,
      0.1084,
      0.3674,
      0.1826,
      0.2269,
      0.5831,
      0.4479,
      0.4917,
      0.366,
      0.1899,
      0.2794,
      0.0956,
      0.1869,
      0.3231,
      0.4352,
      0.2365,
      0.3693,
      0.2368,
      0.4544,
      0.5918,
      0.2236,
      0.1805,
      0.504,
      0.3226,
      0.1887,
      0.2204,
      0.2008,
      0.3099,
      0.2878,
      0.2178,
      0.3661,
      0.1831,
      0.2,
      0.5266,
      0.0998,
      0.4039,
      0.5712,
      0.3839,
      0.3979,
      0.0483,
      0.5479,
      0.2642,
      0.0585,
      0.5502,
      0.4289,
      0.1779,
      0.5376,
      0.3153,
      0.218,
      0.6298,
      0.6056,
      0.388,
      0.3283,
      0.2952,
      0.2365,
      0.3014,
      0.397,
      0.3474,
      0.2515,
      0.2788,
      0.5196,
      0.5407,
      0.2993,
      0.5142,
      0.6118,
      0.465,
      0.5564,
      0.3509,
      0.3713,
      0.3762,
      0.1611,
      0.35,
      0.2628,
      0.256,
      0.5254,
      0.5842,
      0.2789,
      0.6413,
      0.6496,
      0.4285,
      0.5007,
      0.4353,
      0.3166,
      0.4331,
      0.2206,
      0,
      0.4084,
      0.405,
      0.2778,
      0.3042,
      0.2157,
      0,
      0.5241,
      0.353,
      0.3401,
      0.5197,
      0.1847,
      0.1706,
      0.1575,
      0.16,
      0.5479,
      0.1011,
      0.5721,
      0.3802,
      0.3129,
      0.1536,
      0.5488,
      0.248,
      0.1521,
      0.5828,
      0.1403,
      0.4848,
      0.2545,
      0.1189,
      0.3504,
      0.439,
      0.1491,
      0.5165,
      0.3754,
      0.2398,
      0.4313,
      0.219,
      0.0427,
      0.6472,
      0.2046,
      0.3112,
      0.2604,
      0.2981,
      0.2105,
      0.2539,
      0.1639,
      0.1904,
      0,
      0.0309,
      0,
      0,
      0,
      0,
      0.296,
      0.2566,
      0.2495,
      0.2599,
      0.1671,
      0.1858,
      0.0724,
      0.1167,
      0.2201,
      0.0971,
      0.199,
      0.3032,
      0.3639,
      0.2858,
      0.2518,
      0.4175,
      0.2815,
      0.3241,
      0.2277,
      0.5014,
      0.2746,
      0.1768,
      0.2611,
      0.2351,
      0.2915,
      0.4552,
      0.162,
      0.1961,
      0.2504,
      0.2949,
      0.334,
      0.3926,
      0.3151,
      0.2662,
      0.0698,
      0.6209,
      0.2454,
      0.0928,
      0.3353,
      0.6294,
      0.5303,
      0.3847,
      0.4549,
      0.3581,
      0.3263,
      0.3706,
      0.3337,
      0.2594,
      0.4752,
      0.6212,
      0.4477,
      0.4046,
      0.5437,
      0.432,
      0.203,
      0.2563,
      0.4632,
      0.3884,
      0.3645,
      0.514,
      0.2943,
      0.3638,
      0,
      0.5474,
      0.165,
      0,
      0.5842,
      0.0813,
      0.1819,
      0.291,
      0.2701,
      0.03,
      0.5028,
      0.3798,
      0.4485,
      0.1783,
      0.3832,
      0.5026,
      0.3847,
      0.4016,
      0.5473,
      0.5681,
      0.2382,
      0.1491,
      0.423,
      0.3086,
      0.0103,
      0.2885,
      0.2301,
      0.2185,
      0.3445,
      0.3759,
      0.2215,
      0.1945,
      0.6248,
      0.0008,
      0,
      0.449,
      0.3526,
      0.5233,
      0.3562,
      0.276,
      0.357,
      0.2389,
      0.2548,
      0.3853,
      0.4305,
      0.3563,
      0.601,
      0.4425,
      0.1673,
      0.565,
      0.4602,
      0.4007,
      0.2754,
      0.5138,
      0.2361,
      0.1354,
      0.5492,
      0.258,
      0.2806,
      0.3407,
      0.4699,
      0.283,
      0.3637,
      0.5377,
      0.2968,
      0.2906,
      0.2761,
      0.2192,
      0.3543,
      0.2281,
      0.2836,
      0.4685,
      0.2587,
      0.0999,
      0.5139,
      0.3471,
      0.4395,
      0.5971,
      0.3702,
      0.307,
      0.4584,
      0.4648,
      0.3421,
      0.1226,
      0.3282,
      0.1978,
      0.0573,
      0.3798,
      0.3069,
      0.0781,
      0,
      0.6396,
      0.1094,
      0.1892,
      0.229,
      0.2035,
      0.0915,
      0.1844,
      0.2892,
      0.2231,
      0.3444,
      0.2,
      0.3435,
      0.2372,
      0.2409,
      0.5935,
      0.4874,
      0.457,
      0.4285,
      0.322,
      0.3229,
      0.1208,
      0.2272,
      0.3265,
      0.2732,
      0.1414,
      0.3665,
      0.2112,
      0.4699,
      0.6447,
      0.2749,
      0.0949,
      0.5635,
      0.3091,
      0.1523,
      0.0708,
      0.1444,
      0.2928,
      0.1923,
      0.2363,
      0.3919,
      0.1357,
      0.3588,
      0.5746,
      0.0753,
      0.2986,
      0.6859,
      0.469,
      0.3584,
      0.0904,
      0.386,
      0.143,
      0.1157,
      0.6255,
      0.4518,
      0.3353,
      0.3216,
      0.4259,
      0.2691,
      0.3161,
      0.5833,
      0.0939,
      0.3013,
      0.2394,
      0.2553,
      0.2856,
      0.3781,
      0.4993,
      0.2912,
      0.3726,
      0.4885,
      0.4432,
      0.3601,
      0.4437,
      0.6054,
      0.4144,
      0.2499,
      0.4501,
      0.3554,
      0.4438,
      0.1738,
      0.2128,
      0.1717,
      0.3061,
      0.3736,
      0.5484,
      0.324,
      0.4453,
      0.6651,
      0.4516,
      0.4308,
      0.3989,
      0.2321,
      0.4496,
      0.1863,
      0,
      0.4476,
      0.4026,
      0.2578,
      0.2996,
      0.2657,
      0.092,
      0.5834,
      0.2786,
      0.1834,
      0.5792,
      0.1433,
      0,
      0.312,
      0.1979,
      0.4819,
      0.2244,
      0.5858,
      0.2831,
      0.3014,
      0.2603,
      0.5912,
      0.2031,
      0.0045,
      0.5751,
      0.0668,
      0.4291,
      0.1629,
      0.1371,
      0.3479,
      0.4143,
      0.2411,
      0.4718,
      0.3097,
      0.1246,
      0.4137,
      0.2725,
      0.0458,
      0.6455,
      0.2034,
      0.3086,
      0.2184,
      0.3667,
      0.2905,
      0.0872,
      0.2121,
      0.1224,
      0.0384,
      0,
      0,
      0,
      0,
      0,
      0.1834,
      0.2926,
      0.2977,
      0.1721,
      0.1531,
      0.3239,
      0.1247,
      0.1672,
      0.2734,
      0.2467,
      0.2103,
      0.413,
      0.4022,
      0.526,
      0.458,
      0.6367,
      0.2885,
      0.1871,
      0.2975,
      0.4429,
      0.1984,
      0.4094,
      0.2738,
      0.207,
      0.3139,
      0.5171,
      0.3463,
      0.3435,
      0.2927,
      0.2292,
      0.3218,
      0.3566,
      0.297,
      0.2726,
      0.0778,
      0.6598,
      0.2173,
      0.0813,
      0.3076,
      0.2673,
      0.2896,
      0.1102,
      0.4692,
      0.3536,
      0.2871,
      0.152,
      0.4132,
      0.2392,
      0.4737,
      0.67,
      0.4496,
      0.4392,
      0.4988,
      0.2481,
      0.2184,
      0.1961,
      0.4606,
      0.405,
      0.5168,
      0.5021,
      0.3277,
      0.1479,
      0,
      0.5159,
      0.1442,
      0,
      0.5597,
      0.2854,
      0.0952,
      0.3855,
      0.3876,
      0.0155,
      0.5158,
      0.3447,
      0.4298,
      0.335,
      0.5116,
      0.4239,
      0.4685,
      0.4324,
      0.6465,
      0.5322,
      0.32,
      0.299,
      0.4821,
      0.2746,
      0.1314,
      0.2432,
      0.1912,
      0.4167,
      0.2675,
      0.4175,
      0.2025,
      0.2098,
      0.6668,
      0.1484,
      0.1076,
      0.4529,
      0.3605,
      0.4653,
      0.3543,
      0.2394,
      0.242,
      0.2001,
      0.1731,
      0.3926,
      0.4287,
      0.2072,
      0.5933,
      0.5673,
      0.0727,
      0.5519,
      0.3756,
      0.4779,
      0.2199,
      0.543,
      0.0539,
      0.1332,
      0.3709,
      0.2701,
      0.3722,
      0.2409,
      0.4739,
      0.4147,
      0.348,
      0.4933,
      0.3918,
      0.2053,
      0.2114,
      0.2112,
      0.2568,
      0.3411,
      0.2643,
      0.4373,
      0.266,
      0.1517,
      0.4247,
      0.4315,
      0.2528,
      0.6049,
      0.3461,
      0.1955,
      0.1324,
      0.4997,
      0.184,
      0.0068,
      0.1798,
      0.2034,
      0.0926,
      0.4082,
      0.4599,
      0.1267,
      0,
      0.6622,
      0.2437,
      0,
      0.3825,
      0.3828,
      0.1781,
      0.2425,
      0.3977,
      0.0905,
      0.3676,
      0.2058,
      0.3849,
      0.1638,
      0.2221,
      0.6314,
      0.5152,
      0.2862,
      0.3944,
      0.3953,
      0.3238,
      0.3723,
      0.292,
      0.4572,
      0.2935,
      0.2007,
      0.5606,
      0.2304,
      0.5105,
      0.673,
      0.2457,
      0.2068,
      0.5257,
      0.3509,
      0.3388,
      0.2447,
      0.3152,
      0.2814,
      0.319,
      0.2455,
      0.3235,
      0.2563,
      0.2224,
      0.4991,
      0.0461,
      0.3597,
      0.5751,
      0.5777,
      0.4604,
      0.2225,
      0.4997,
      0.0064,
      0.1394,
      0.3978,
      0.2522,
      0.3174,
      0.3409,
      0.4123,
      0.3149,
      0.3179,
      0.6503,
      0.2316,
      0.414,
      0.1968,
      0.1532,
      0.2711,
      0.4087,
      0.5614,
      0.3546,
      0.3153,
      0.4305,
      0.3659,
      0.4188,
      0.2298,
      0.6878,
      0.2757,
      0.2983,
      0.1692,
      0.4628,
      0.308,
      0.2998,
      0.2605,
      0.2699,
      0.3344,
      0.2119,
      0.3949,
      0.4577,
      0.3628,
      0.693,
      0.3647,
      0.4124,
      0.3804,
      0.2237,
      0.4129,
      0.1639,
      0,
      0.4683,
      0.5468,
      0.1958,
      0.3373,
      0.1674,
      0.0043,
      0.5782,
      0.188,
      0.1468,
      0.5405,
      0.1934,
      0.0088,
      0.4015,
      0.2796,
      0.4452,
      0.2799,
      0.2441,
      0.2857,
      0.4305,
      0.2517,
      0.545,
      0.2442,
      0.0921,
      0.591,
      0.1942,
      0.4669,
      0.3296,
      0.232,
      0.4645,
      0.1131,
      0.2142,
      0.4172,
      0.2094,
      0.0852,
      0.522,
      0.526,
      0.2118,
      0.6749,
      0.4093,
      0.2676,
      0.1897,
      0.1551,
      0.1982,
      0.1141,
      0.1308,
      0.0768,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2323,
      0.4935,
      0.3495,
      0.3026,
      0.1739,
      0.3087,
      0.1612,
      0.2627,
      0.3871,
      0.3457,
      0.4646,
      0.6551,
      0.549,
      0.6038,
      0.4114,
      0.5157,
      0.3069,
      0.0012,
      0.2589,
      0.5589,
      0.2049,
      0.4562,
      0.3109,
      0.1929,
      0.3518,
      0.5567,
      0.4447,
      0.3306,
      0.3007,
      0.2694,
      0.3346,
      0.234,
      0.3581,
      0.3077,
      0.1183,
      0.6145,
      0.266,
      0.23,
      0.4188,
      0.2931,
      0.2939,
      0.1866,
      0.5319,
      0.4321,
      0.3448,
      0.2642,
      0.4995,
      0.3756,
      0.2409,
      0.598,
      0.456,
      0.4626,
      0.564,
      0.2386,
      0.279,
      0.1687,
      0.528,
      0.2687,
      0.6347,
      0.6591,
      0.6058,
      0.1466,
      0.1298,
      0.6515,
      0.159,
      0.0103,
      0.5762,
      0.4516,
      0.0625,
      0.4603,
      0.5025,
      0.2368,
      0.5883,
      0.1999,
      0.4489,
      0.5339,
      0.5671,
      0.5206,
      0.4991,
      0.6264,
      0.584,
      0.4727,
      0.4606,
      0.3337,
      0.5597,
      0.4177,
      0.4177,
      0.3423,
      0.355,
      0.4612,
      0.2279,
      0.3983,
      0.2896,
      0.3955,
      0.6175,
      0.3679,
      0.2339,
      0.5173,
      0.4402,
      0.4937,
      0.5396,
      0.4584,
      0.5442,
      0.226,
      0.1214,
      0.4549,
      0.449,
      0.2359,
      0.5266,
      0.5817,
      0.2158,
      0.6121,
      0.4636,
      0.4942,
      0.325,
      0.5103,
      0.114,
      0.0518,
      0.3528,
      0.2839,
      0.4321,
      0.3898,
      0.4824,
      0.4508,
      0.3816,
      0.4786,
      0.4421,
      0.2384,
      0.2292,
      0.1607,
      0.3002,
      0.2609,
      0.2152,
      0.4637,
      0.3344,
      0.3164,
      0.5066,
      0.5082,
      0.2119,
      0.6591,
      0.3317,
      0.4305,
      0.1064,
      0.4698,
      0.2514,
      0.3959,
      0.3124,
      0.3641,
      0.1284,
      0.4247,
      0.5533,
      0.1835,
      0.181,
      0.6133,
      0.251,
      0.0855,
      0.5005,
      0.4041,
      0.1864,
      0.3854,
      0.4026,
      0.3279,
      0.4861,
      0.214,
      0.3794,
      0.1471,
      0.2435,
      0.5894,
      0.531,
      0.4173,
      0.5075,
      0.4872,
      0.2748,
      0.5055,
      0.3367,
      0.4875,
      0.3681,
      0.2651,
      0.6378,
      0.1866,
      0.3798,
      0.5739,
      0.4357,
      0.2874,
      0.5345,
      0.4422,
      0.3012,
      0.4135,
      0.4235,
      0.2267,
      0.3926,
      0.1772,
      0.329,
      0.2563,
      0.329,
      0.49,
      0.1697,
      0.4158,
      0.5729,
      0.5859,
      0.5309,
      0.3428,
      0.62,
      0.185,
      0.1781,
      0.2884,
      0.2397,
      0.4449,
      0.3012,
      0.4877,
      0.4429,
      0.3101,
      0.5945,
      0.3722,
      0.4201,
      0.2423,
      0.1858,
      0.2647,
      0.3669,
      0.5092,
      0.4057,
      0.2688,
      0.4011,
      0.4731,
      0.3882,
      0.3483,
      0.6344,
      0.3001,
      0.417,
      0.2228,
      0.3909,
      0.3526,
      0.4015,
      0.442,
      0.4368,
      0.3615,
      0.3127,
      0.3648,
      0.5572,
      0.3825,
      0.6068,
      0.4395,
      0.4164,
      0.3408,
      0.3028,
      0.4867,
      0.3797,
      0.0919,
      0.4607,
      0.5613,
      0.1946,
      0.3547,
      0.2364,
      0.0451,
      0.5683,
      0.2723,
      0.2799,
      0.5422,
      0.4153,
      0.0324,
      0.4272,
      0.3508,
      0.3032,
      0.3105,
      0.3446,
      0.4492,
      0.3845,
      0.3341,
      0.521,
      0.3276,
      0.1371,
      0.5709,
      0.1914,
      0.3624,
      0.4442,
      0.2785,
      0.5709,
      0.2776,
      0.152,
      0.3001,
      0.4233,
      0.0975,
      0.5148,
      0.5096,
      0.2295,
      0.6226,
      0.3675,
      0.2991,
      0.0938,
      0.2833,
      0.2049,
      0.208,
      0.2598,
      0.237,
      0,
      0.0684,
      0,
      0,
      0,
      0,
      0.183,
      0.3218,
      0.3162,
      0.2468,
      0.1108,
      0.339,
      0.1863,
      0.2049,
      0.2533,
      0.1604,
      0.355,
      0.5966,
      0.5504,
      0.2306,
      0.3694,
      0.3584,
      0.3413,
      0.0979,
      0.2815,
      0.3668,
      0.2377,
      0.1604,
      0.2287,
      0.194,
      0.2992,
      0.3701,
      0.2397,
      0.2719,
      0.283,
      0.216,
      0.3672,
      0.3225,
      0.3747,
      0.2886,
      0.1196,
      0.5852,
      0.2818,
      0.1737,
      0.1616,
      0.2239,
      0.2353,
      0.2353,
      0.5342,
      0.3217,
      0.2768,
      0.2917,
      0.3659,
      0.1602,
      0.0805,
      0.6075,
      0.3505,
      0.5208,
      0.4607,
      0.1605,
      0.2577,
      0.1525,
      0.4135,
      0.3209,
      0.4936,
      0.4716,
      0.4982,
      0.1213,
      0.1693,
      0.442,
      0.0997,
      0,
      0.5579,
      0.0442,
      0.0942,
      0.4016,
      0.3815,
      0.0097,
      0.502,
      0.2592,
      0.443,
      0.2941,
      0.3665,
      0.45,
      0.3125,
      0.5953,
      0.6398,
      0.3944,
      0.4331,
      0.1915,
      0.5777,
      0.2859,
      0.2126,
      0.3213,
      0.2806,
      0.2813,
      0.3317,
      0.3846,
      0.2935,
      0.0828,
      0.5505,
      0.045,
      0.227,
      0.4996,
      0.616,
      0.4507,
      0.4078,
      0.4458,
      0.5422,
      0.2533,
      0.1288,
      0.4108,
      0.4476,
      0.2502,
      0.538,
      0.4742,
      0.2386,
      0.5318,
      0.2937,
      0.4829,
      0.3248,
      0.44,
      0.1028,
      0.1811,
      0.3434,
      0.2975,
      0.2786,
      0.1081,
      0.4492,
      0.5042,
      0.3974,
      0.443,
      0.3001,
      0.1978,
      0.2188,
      0.1517,
      0.2798,
      0.2766,
      0.2448,
      0.5028,
      0.1912,
      0.2988,
      0.4765,
      0.2301,
      0.2912,
      0.6075,
      0.3169,
      0.3156,
      0.1617,
      0.4081,
      0.3436,
      0.1309,
      0.2456,
      0.1543,
      0.1063,
      0.3624,
      0.5051,
      0.114,
      0,
      0.5905,
      0.1951,
      0.0895,
      0.5195,
      0.2596,
      0.1322,
      0.2562,
      0.4393,
      0.201,
      0.2305,
      0.1611,
      0.3112,
      0.1497,
      0.1734,
      0.5193,
      0.5371,
      0.3139,
      0.3901,
      0.3044,
      0.2168,
      0.2452,
      0.2778,
      0.3035,
      0.1264,
      0.2087,
      0.3012,
      0.2251,
      0.3068,
      0.5867,
      0.5419,
      0.2467,
      0.494,
      0.3863,
      0.3276,
      0.3194,
      0.2244,
      0.2793,
      0.214,
      0.2444,
      0.2617,
      0.1587,
      0.2142,
      0.4425,
      0.2618,
      0.5389,
      0.5991,
      0.495,
      0.3966,
      0.2019,
      0.5276,
      0.1281,
      0.1951,
      0.1922,
      0.3052,
      0.3537,
      0.243,
      0.4693,
      0.3339,
      0.3282,
      0.6015,
      0.3375,
      0.2845,
      0.1196,
      0.1484,
      0.1853,
      0.3017,
      0.319,
      0.2701,
      0.2447,
      0.3188,
      0.4837,
      0.2076,
      0.2006,
      0.5714,
      0.2836,
      0.3688,
      0.1524,
      0.3721,
      0.3856,
      0.348,
      0.2944,
      0.4142,
      0.3829,
      0.3181,
      0.4072,
      0.4809,
      0.3919,
      0.6269,
      0.368,
      0.429,
      0.2976,
      0.3098,
      0.2557,
      0.0766,
      0,
      0.3832,
      0.6132,
      0.138,
      0.3945,
      0.2312,
      0.0354,
      0.5713,
      0.1996,
      0.3127,
      0.5098,
      0.3931,
      0.087,
      0.2907,
      0.2087,
      0.2365,
      0.3386,
      0.2263,
      0.5097,
      0.3778,
      0.3847,
      0.472,
      0.4588,
      0.1029,
      0.595,
      0.2277,
      0.4808,
      0.2047,
      0.3066,
      0.5671,
      0.1712,
      0.1066,
      0.3934,
      0.2047,
      0.1792,
      0.5706,
      0.2217,
      0.1912,
      0.6026,
      0.2499,
      0.3521,
      0.0883,
      0.2855,
      0.1763,
      0.1177,
      0.239,
      0.2129,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1846,
      0.1972,
      0.367,
      0.2744,
      0.1385,
      0.3142,
      0.1891,
      0.1926,
      0.1696,
      0.0985,
      0.2041,
      0.3383,
      0.4293,
      0.2425,
      0.1562,
      0.2891,
      0.4176,
      0.2132,
      0.3299,
      0.3148,
      0.3466,
      0.0754,
      0.168,
      0.244,
      0.3111,
      0.2334,
      0.06,
      0.3954,
      0.3037,
      0.236,
      0.3516,
      0.3654,
      0.3004,
      0.251,
      0.1627,
      0.6517,
      0.2971,
      0.1204,
      0.262,
      0.274,
      0.1058,
      0.2668,
      0.5102,
      0.2319,
      0.2691,
      0.319,
      0.2463,
      0.1619,
      0.0663,
      0.6514,
      0.3531,
      0.5542,
      0.4736,
      0.2046,
      0.241,
      0.1479,
      0.4674,
      0.3549,
      0.4363,
      0.3776,
      0.4731,
      0.1808,
      0.1559,
      0.471,
      0.1128,
      0,
      0.5271,
      0.0628,
      0.0306,
      0.3144,
      0.478,
      0.1606,
      0.3533,
      0.2121,
      0.3917,
      0.2741,
      0.3412,
      0.4208,
      0.2369,
      0.4585,
      0.6081,
      0.2931,
      0.5432,
      0.2687,
      0.4278,
      0.4875,
      0.1735,
      0.273,
      0.2011,
      0.1319,
      0.3384,
      0.4071,
      0.2955,
      0.0625,
      0.6377,
      0.084,
      0.2491,
      0.4682,
      0.6214,
      0.5413,
      0.3542,
      0.3259,
      0.2025,
      0.1955,
      0.2045,
      0.1829,
      0.3646,
      0.3643,
      0.5559,
      0.4148,
      0.167,
      0.4782,
      0.1737,
      0.3632,
      0.329,
      0.5333,
      0.1572,
      0.2057,
      0.2722,
      0.3118,
      0.1531,
      0.239,
      0.421,
      0.4031,
      0.4027,
      0.463,
      0.0506,
      0.1385,
      0.2748,
      0.1546,
      0.152,
      0.2528,
      0.2377,
      0.4145,
      0.193,
      0.0704,
      0.4034,
      0.1214,
      0.1214,
      0.5521,
      0.2941,
      0.1849,
      0.139,
      0.4007,
      0.2871,
      0.1186,
      0.0984,
      0.2431,
      0.042,
      0.3901,
      0.427,
      0.1197,
      0,
      0.6421,
      0.2125,
      0.0411,
      0.2707,
      0.3492,
      0.2581,
      0.1679,
      0.5071,
      0.22,
      0.2374,
      0.1651,
      0.2487,
      0.1193,
      0.092,
      0.6309,
      0.4329,
      0.3758,
      0.3388,
      0.2865,
      0.2959,
      0.1929,
      0.2468,
      0.3204,
      0.1549,
      0.217,
      0.3039,
      0.2514,
      0.3388,
      0.6035,
      0.5281,
      0.1972,
      0.5332,
      0.5426,
      0.3332,
      0.2523,
      0.1722,
      0.325,
      0.2528,
      0.2677,
      0.2906,
      0.1684,
      0.1263,
      0.4185,
      0.2213,
      0.4335,
      0.5753,
      0.3544,
      0.1872,
      0.1208,
      0.5262,
      0.1894,
      0.1775,
      0.2097,
      0.3523,
      0.4421,
      0.2706,
      0.4471,
      0.2424,
      0.2627,
      0.6072,
      0.2779,
      0.3122,
      0.1937,
      0.1288,
      0.2087,
      0.26,
      0.2669,
      0.2409,
      0.2463,
      0.4953,
      0.4868,
      0.1235,
      0.1258,
      0.6086,
      0.2641,
      0.1302,
      0.2353,
      0.2763,
      0.3302,
      0.3534,
      0.212,
      0.3251,
      0.3591,
      0.328,
      0.3206,
      0.4101,
      0.2207,
      0.6467,
      0.375,
      0.4699,
      0.3599,
      0.3175,
      0.1923,
      0.0987,
      0,
      0.3612,
      0.5286,
      0.2033,
      0.2688,
      0.2401,
      0.0139,
      0.6122,
      0.2354,
      0.2526,
      0.5093,
      0.3032,
      0.1827,
      0.2164,
      0.2226,
      0.2185,
      0.1957,
      0.2757,
      0.3966,
      0.278,
      0.3917,
      0.4831,
      0.5562,
      0.1434,
      0.5925,
      0.257,
      0.3981,
      0.0924,
      0.222,
      0.3304,
      0.204,
      0.0531,
      0.4706,
      0.1588,
      0.0537,
      0.4011,
      0.1377,
      0.1306,
      0.6627,
      0.2819,
      0.3025,
      0.1398,
      0.3257,
      0.0933,
      0.1115,
      0.2827,
      0.1052,
      0,
      0.0606,
      0.0309,
      0,
      0,
      0,
      0.1889,
      0.1774,
      0.3455,
      0.2488,
      0.1797,
      0.3245,
      0.2106,
      0.1575,
      0.1798,
      0.1043,
      0.2154,
      0.3661,
      0.335,
      0.2176,
      0.133,
      0.255,
      0.3394,
      0.1684,
      0.1151,
      0.3043,
      0.4877,
      0.201,
      0.3026,
      0.3517,
      0.3312,
      0.1482,
      0.164,
      0.3497,
      0.2521,
      0.225,
      0.4004,
      0.4034,
      0.2765,
      0.3596,
      0.1129,
      0.6347,
      0.2707,
      0.3739,
      0.2057,
      0.2647,
      0.1857,
      0.1838,
      0.3557,
      0.367,
      0.1994,
      0.0334,
      0.2665,
      0.2029,
      0,
      0.6067,
      0.349,
      0.4822,
      0.4651,
      0.2039,
      0.1645,
      0.0063,
      0.4741,
      0.371,
      0.3798,
      0.3458,
      0.3487,
      0.1856,
      0.1239,
      0.5401,
      0.1227,
      0.074,
      0.5715,
      0.0918,
      0,
      0.2899,
      0.4632,
      0.1548,
      0.3823,
      0.3766,
      0.4205,
      0.2593,
      0.3907,
      0.4968,
      0.2389,
      0.328,
      0.6193,
      0.4609,
      0.526,
      0.2192,
      0.3901,
      0.5945,
      0.1367,
      0.3301,
      0.2076,
      0.2511,
      0.5004,
      0.3942,
      0.2479,
      0.0633,
      0.6267,
      0.0106,
      0,
      0.487,
      0.4662,
      0.6108,
      0.2854,
      0.2381,
      0.2451,
      0.1943,
      0.1707,
      0.1729,
      0.3736,
      0.4136,
      0.5705,
      0.348,
      0.2707,
      0.5047,
      0.2321,
      0.4014,
      0.3638,
      0.4391,
      0.1685,
      0.1703,
      0.3315,
      0.3488,
      0.2142,
      0.3189,
      0.5092,
      0.4412,
      0.3612,
      0.4604,
      0.0483,
      0.225,
      0.3074,
      0.204,
      0.3073,
      0.2374,
      0.2862,
      0.2648,
      0.2286,
      0.0762,
      0.4732,
      0.1467,
      0.2641,
      0.5747,
      0.3257,
      0.1499,
      0.0526,
      0.3808,
      0.2073,
      0.0755,
      0.1062,
      0.2086,
      0.0124,
      0.3663,
      0.3907,
      0.0862,
      0,
      0.6113,
      0.1362,
      0,
      0.1735,
      0.2427,
      0.1093,
      0.186,
      0.5846,
      0.1834,
      0.36,
      0.1816,
      0.3122,
      0.1252,
      0.1414,
      0.6327,
      0.5641,
      0.3228,
      0.2897,
      0.2789,
      0.3469,
      0.2744,
      0.2982,
      0.311,
      0.2576,
      0.1595,
      0.2242,
      0.2835,
      0.3744,
      0.5707,
      0.4758,
      0.1978,
      0.5436,
      0.3985,
      0.3062,
      0.1488,
      0.2204,
      0.3399,
      0.2774,
      0.2403,
      0.3242,
      0.0856,
      0.1996,
      0.4611,
      0.1927,
      0.4113,
      0.5927,
      0.2972,
      0.2382,
      0.1178,
      0.4534,
      0.1206,
      0.1902,
      0.2891,
      0.3773,
      0.1537,
      0.387,
      0.4829,
      0.1931,
      0.3224,
      0.5888,
      0.1111,
      0.2544,
      0.2078,
      0.1665,
      0.2304,
      0.2829,
      0.2986,
      0.2756,
      0.1609,
      0.4717,
      0.4415,
      0.1498,
      0.1258,
      0.6061,
      0.3848,
      0.1252,
      0.193,
      0.2067,
      0.2869,
      0.3808,
      0.1692,
      0.1534,
      0.3781,
      0.3624,
      0.498,
      0.4127,
      0.1719,
      0.5845,
      0.3985,
      0.2526,
      0.2499,
      0.1285,
      0.2052,
      0.054,
      0,
      0.4151,
      0.4825,
      0.2623,
      0.2672,
      0.2118,
      0.0168,
      0.5861,
      0.216,
      0.0865,
      0.5307,
      0.2843,
      0.0707,
      0.2792,
      0.3723,
      0.4089,
      0.1448,
      0.2749,
      0.3091,
      0.2511,
      0.5258,
      0.4839,
      0.5248,
      0.0941,
      0.5886,
      0.1909,
      0.5332,
      0.0845,
      0.229,
      0.3076,
      0.0064,
      0.0438,
      0.5093,
      0.0897,
      0,
      0.4589,
      0.1769,
      0.2008,
      0.6447,
      0.2878,
      0.1954,
      0.1596,
      0.323,
      0,
      0.1656,
      0.2748,
      0.0836,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2577,
      0.2294,
      0.3021,
      0.2383,
      0.2379,
      0.3307,
      0.3417,
      0.1118,
      0.2635,
      0.066,
      0.1963,
      0.4391,
      0.2649,
      0.211,
      0.1046,
      0.2067,
      0.3081,
      0.2756,
      0.184,
      0.4228,
      0.4969,
      0.209,
      0.3262,
      0.3554,
      0.295,
      0.1452,
      0.1261,
      0.4212,
      0.2173,
      0.3502,
      0.393,
      0.4389,
      0.2367,
      0.3389,
      0.3113,
      0.5518,
      0.2457,
      0.3033,
      0.3116,
      0.2894,
      0.4147,
      0.3748,
      0.3492,
      0.2874,
      0.2504,
      0.2196,
      0.2732,
      0.1843,
      0,
      0.5345,
      0.3268,
      0.3986,
      0.4827,
      0.3827,
      0.1166,
      0.1239,
      0.3981,
      0.4669,
      0.4071,
      0.356,
      0.354,
      0.4466,
      0.0991,
      0.3462,
      0.2594,
      0.134,
      0.4972,
      0,
      0.096,
      0.1081,
      0.5694,
      0.2361,
      0.3185,
      0.657,
      0.4342,
      0.326,
      0.3741,
      0.4133,
      0.2393,
      0.2889,
      0.5599,
      0.6375,
      0.5741,
      0.1819,
      0.4156,
      0.677,
      0.2193,
      0.213,
      0.176,
      0.2018,
      0.5861,
      0.3953,
      0.3419,
      0.1092,
      0.5603,
      0.1982,
      0.1164,
      0.4908,
      0.36,
      0.6397,
      0.322,
      0.2446,
      0.1866,
      0.358,
      0.1212,
      0.2839,
      0.2939,
      0.547,
      0.4276,
      0.3705,
      0.2983,
      0.4945,
      0.2228,
      0.3659,
      0.3703,
      0.4052,
      0.245,
      0.2179,
      0.4439,
      0.4023,
      0.2614,
      0.2961,
      0.4996,
      0.4212,
      0.3773,
      0.4795,
      0.0368,
      0.1621,
      0.326,
      0.1843,
      0.3394,
      0.2363,
      0.3304,
      0.2573,
      0.2567,
      0.1752,
      0.4227,
      0.1632,
      0.3017,
      0.4941,
      0.3258,
      0.2498,
      0.3302,
      0.3175,
      0.0905,
      0.141,
      0.3697,
      0.179,
      0.2433,
      0.1821,
      0.3745,
      0.4959,
      0.1343,
      0.5238,
      0.5089,
      0.1988,
      0.1963,
      0.3003,
      0.1279,
      0.1612,
      0.5832,
      0.1309,
      0.4538,
      0.1391,
      0.2951,
      0.2111,
      0.1456,
      0.5797,
      0.5905,
      0.4076,
      0.4076,
      0.1284,
      0.3167,
      0.3888,
      0.2809,
      0.3237,
      0.5574,
      0.1686,
      0.3229,
      0.4316,
      0.6679,
      0.4283,
      0.6491,
      0.2599,
      0.5927,
      0.6246,
      0.3499,
      0.3258,
      0.2205,
      0.6056,
      0.3554,
      0.476,
      0.3689,
      0.2592,
      0.2723,
      0.4304,
      0.0899,
      0.4207,
      0.6634,
      0.3386,
      0.3367,
      0.1656,
      0.3628,
      0.2546,
      0.2222,
      0.2562,
      0.4167,
      0.1601,
      0.4975,
      0.4299,
      0.2227,
      0.5536,
      0.5641,
      0.1944,
      0.1695,
      0.3029,
      0.2642,
      0.3904,
      0.2229,
      0.3,
      0.3112,
      0.3136,
      0.4538,
      0.3824,
      0.0461,
      0.331,
      0.5444,
      0.3373,
      0.3385,
      0.4036,
      0.2397,
      0.298,
      0.3062,
      0.3932,
      0.1056,
      0.3334,
      0.3225,
      0.5129,
      0.4376,
      0.1288,
      0.5572,
      0.382,
      0.3452,
      0.3762,
      0.1026,
      0.1961,
      0.1193,
      0,
      0.3342,
      0.4315,
      0.2842,
      0.2774,
      0.3365,
      0.132,
      0.4747,
      0.3519,
      0.0426,
      0.5189,
      0.0992,
      0,
      0.3685,
      0.3815,
      0.5301,
      0.1612,
      0.1889,
      0.3327,
      0.2656,
      0.2198,
      0.4812,
      0.3518,
      0.1064,
      0.5217,
      0.1631,
      0.5808,
      0.0641,
      0.1409,
      0.3259,
      0.3204,
      0.1158,
      0.5145,
      0.1601,
      0,
      0.4397,
      0,
      0.1479,
      0.5462,
      0.1984,
      0.0868,
      0.1328,
      0.3702,
      0.1946,
      0.1616,
      0.2423,
      0.0574,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2063,
      0.2001,
      0.3397,
      0.2431,
      0.3479,
      0.3282,
      0.1849,
      0.0608,
      0.2746,
      0.0966,
      0.2485,
      0.3998,
      0.2327,
      0.2246,
      0.1588,
      0.1996,
      0.2817,
      0.2486,
      0.3061,
      0.5437,
      0.4657,
      0.2693,
      0.27,
      0.3042,
      0.3335,
      0.2898,
      0.1784,
      0.3177,
      0.3021,
      0.2182,
      0.3402,
      0.2678,
      0.1592,
      0.275,
      0.2618,
      0.6013,
      0.2184,
      0.0994,
      0.3355,
      0.3927,
      0.3806,
      0.2827,
      0.3006,
      0.3074,
      0.249,
      0.3356,
      0.2641,
      0.1079,
      0.0867,
      0.6476,
      0.2892,
      0.2119,
      0.5414,
      0.4198,
      0.207,
      0.0727,
      0.3875,
      0.526,
      0.4675,
      0.3396,
      0.3148,
      0.253,
      0.0158,
      0.543,
      0.2773,
      0,
      0.5858,
      0.0291,
      0.0687,
      0.3464,
      0.5706,
      0.0306,
      0.4558,
      0.4606,
      0.4322,
      0.2692,
      0.3607,
      0.4578,
      0.3423,
      0.2685,
      0.6331,
      0.4516,
      0.2159,
      0.2223,
      0.3807,
      0.3153,
      0.0695,
      0.2289,
      0.1846,
      0.1907,
      0.6254,
      0.4523,
      0.1562,
      0.0871,
      0.605,
      0.2633,
      0.0062,
      0.5697,
      0.5498,
      0.4948,
      0.3133,
      0.2204,
      0.2177,
      0.3635,
      0.1786,
      0.2561,
      0.4447,
      0.5965,
      0.5439,
      0.474,
      0.237,
      0.5377,
      0.2543,
      0.2442,
      0.3363,
      0.4122,
      0.3653,
      0.1658,
      0.487,
      0.4153,
      0.3408,
      0.319,
      0.5161,
      0.4048,
      0.3652,
      0.5245,
      0.1523,
      0.0871,
      0.2329,
      0.1863,
      0.2022,
      0.2378,
      0.2134,
      0.2253,
      0.203,
      0.1253,
      0.4597,
      0.1833,
      0.4067,
      0.5865,
      0.2167,
      0.266,
      0.323,
      0.3197,
      0.0272,
      0.0976,
      0.1171,
      0.1828,
      0.0791,
      0.3468,
      0.4071,
      0.2499,
      0.0651,
      0.6155,
      0.3291,
      0.1155,
      0.1822,
      0.1961,
      0.0328,
      0.2518,
      0.5138,
      0.1844,
      0.4585,
      0.2006,
      0.3729,
      0.2328,
      0.1381,
      0.6204,
      0.5996,
      0.3951,
      0.4152,
      0.2521,
      0.3823,
      0.3581,
      0.3048,
      0.3544,
      0.3184,
      0.2039,
      0.3053,
      0.265,
      0.5646,
      0.5486,
      0.3569,
      0.1347,
      0.5518,
      0.3015,
      0.2728,
      0.1847,
      0.1684,
      0.5426,
      0.3444,
      0.3333,
      0.3592,
      0.2599,
      0.3525,
      0.4573,
      0.1276,
      0.4186,
      0.644,
      0.4272,
      0.2485,
      0.1353,
      0.3825,
      0.2559,
      0.1905,
      0.4413,
      0.4609,
      0.2162,
      0.5347,
      0.4874,
      0.3437,
      0.3798,
      0.6233,
      0.2747,
      0.1769,
      0.2662,
      0.2352,
      0.3581,
      0.3088,
      0.4369,
      0.2467,
      0.4831,
      0.616,
      0.481,
      0.1591,
      0.3662,
      0.57,
      0.2701,
      0.2359,
      0.3664,
      0.3261,
      0.2401,
      0.3642,
      0.1633,
      0.0936,
      0.3877,
      0.3451,
      0.4709,
      0.4237,
      0.1546,
      0.6382,
      0.3802,
      0.3039,
      0.3903,
      0.1136,
      0.25,
      0,
      0,
      0.4881,
      0.4088,
      0.2918,
      0.3497,
      0.2687,
      0.1821,
      0.6204,
      0.2737,
      0.1024,
      0.5823,
      0.0299,
      0.0955,
      0.5221,
      0.3282,
      0.5405,
      0.1751,
      0.3137,
      0.3182,
      0.271,
      0.2287,
      0.4553,
      0.1997,
      0.0677,
      0.5975,
      0.2599,
      0.516,
      0.1323,
      0.012,
      0.3757,
      0.2216,
      0.1634,
      0.4273,
      0.225,
      0.066,
      0.4244,
      0.1118,
      0.1541,
      0.6424,
      0.3473,
      0.1684,
      0.1578,
      0.3052,
      0.2252,
      0.1483,
      0.2212,
      0.1265,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1589,
      0.275,
      0.3468,
      0.3066,
      0.199,
      0.2907,
      0.1991,
      0.2063,
      0.3013,
      0.2414,
      0.3488,
      0.414,
      0.2205,
      0.1831,
      0.231,
      0.3957,
      0.2864,
      0.2413,
      0.2418,
      0.4652,
      0.4154,
      0.3278,
      0.1886,
      0.2114,
      0.5001,
      0.4037,
      0.3911,
      0.3876,
      0.1977,
      0.0753,
      0.3682,
      0.2269,
      0.3693,
      0.3144,
      0.0703,
      0.6096,
      0.1508,
      0.0875,
      0.3035,
      0.4301,
      0.248,
      0.1263,
      0.4353,
      0.3604,
      0.2778,
      0.1846,
      0.2714,
      0.1832,
      0.081,
      0.6561,
      0.252,
      0.2744,
      0.3737,
      0.2688,
      0.1863,
      0.0706,
      0.52,
      0.5364,
      0.5451,
      0.3118,
      0.3971,
      0.2243,
      0.0689,
      0.5321,
      0.1311,
      0.0639,
      0.4646,
      0.1305,
      0.015,
      0.3987,
      0.5092,
      0.0845,
      0.4783,
      0.3978,
      0.4513,
      0.4625,
      0.4227,
      0.4201,
      0.3533,
      0.3231,
      0.5866,
      0.4739,
      0.3509,
      0.3081,
      0.3942,
      0.3969,
      0.0404,
      0.2918,
      0.1901,
      0.2568,
      0.5401,
      0.4249,
      0.133,
      0.2019,
      0.6038,
      0.3845,
      0.174,
      0.4234,
      0.5034,
      0.3892,
      0.4161,
      0.3611,
      0.2471,
      0.2924,
      0.1547,
      0.2675,
      0.5454,
      0.6151,
      0.541,
      0.541,
      0.1447,
      0.4,
      0.353,
      0.3186,
      0.3846,
      0.3989,
      0.1436,
      0.2853,
      0.5234,
      0.3068,
      0.3247,
      0.418,
      0.5785,
      0.3601,
      0.3888,
      0.359,
      0.2754,
      0.203,
      0.2233,
      0.0805,
      0.1949,
      0.2619,
      0.1492,
      0.2646,
      0.2157,
      0,
      0.4106,
      0.299,
      0.1931,
      0.5373,
      0.2392,
      0.3169,
      0.1528,
      0.392,
      0.0875,
      0.325,
      0.2307,
      0.2329,
      0.0771,
      0.3404,
      0.4126,
      0.1642,
      0.0954,
      0.627,
      0.2334,
      0.0134,
      0.2529,
      0.2594,
      0.118,
      0.2974,
      0.481,
      0.2438,
      0.4187,
      0.1545,
      0.3389,
      0.1833,
      0.1963,
      0.6193,
      0.597,
      0.2391,
      0.4249,
      0.2511,
      0.3839,
      0.4487,
      0.2617,
      0.4154,
      0.1616,
      0.2152,
      0.3642,
      0.3309,
      0.5356,
      0.5368,
      0.4633,
      0.2049,
      0.3785,
      0.3105,
      0.2212,
      0.0717,
      0.1563,
      0.4102,
      0.3243,
      0.1796,
      0.2497,
      0.2162,
      0.2691,
      0.4368,
      0.1647,
      0.4376,
      0.5076,
      0.4432,
      0.336,
      0.2302,
      0.3499,
      0.1082,
      0.1306,
      0.4055,
      0.3721,
      0.212,
      0.3959,
      0.5181,
      0.3562,
      0.2193,
      0.6045,
      0.2398,
      0.2442,
      0.1235,
      0.2566,
      0.3426,
      0.2939,
      0.5616,
      0.3466,
      0.4982,
      0.6009,
      0.4847,
      0.2811,
      0.1147,
      0.5761,
      0.2012,
      0.3147,
      0.1735,
      0.2476,
      0.241,
      0.3373,
      0.0854,
      0.2695,
      0.3544,
      0.1794,
      0.2411,
      0.2942,
      0.2926,
      0.6411,
      0.3195,
      0.3325,
      0.2745,
      0.2392,
      0.2878,
      0.1822,
      0,
      0.4571,
      0.4729,
      0.3278,
      0.3006,
      0.2148,
      0.2501,
      0.6207,
      0.1176,
      0.2507,
      0.4315,
      0.2596,
      0.1628,
      0.501,
      0.3533,
      0.4523,
      0.251,
      0.395,
      0.4001,
      0.3307,
      0.2289,
      0.4712,
      0.2289,
      0.1637,
      0.5486,
      0.2661,
      0.4145,
      0.1851,
      0.0966,
      0.3791,
      0,
      0.1536,
      0.3085,
      0.2887,
      0.0526,
      0.4766,
      0.2323,
      0.0799,
      0.6247,
      0.5526,
      0.2255,
      0.0842,
      0.3164,
      0.0029,
      0.0831,
      0.1567,
      0.1639,
      0,
      0.0609,
      0.0232,
      0,
      0,
      0,
      0.1103,
      0.3651,
      0.3842,
      0.3554,
      0.1532,
      0.3596,
      0.1457,
      0.297,
      0.1839,
      0.3,
      0.4406,
      0.3579,
      0.437,
      0.4254,
      0.211,
      0.3754,
      0.3367,
      0.1994,
      0.365,
      0.3456,
      0.3673,
      0.3804,
      0.2616,
      0.3519,
      0.4914,
      0.2834,
      0.4322,
      0.3069,
      0.3734,
      0.0746,
      0.3777,
      0.1609,
      0.4644,
      0.1953,
      0.1873,
      0.5697,
      0.0431,
      0.0929,
      0.3611,
      0.1944,
      0.3097,
      0.1998,
      0.4117,
      0.3114,
      0.3648,
      0.2816,
      0.3493,
      0.2659,
      0.2855,
      0.6662,
      0.3188,
      0.3504,
      0.4686,
      0.3703,
      0.2709,
      0.0963,
      0.538,
      0.4864,
      0.653,
      0.3316,
      0.4945,
      0.311,
      0.239,
      0.6423,
      0.1388,
      0.1044,
      0.5515,
      0.3941,
      0.1196,
      0.4184,
      0.6226,
      0.0403,
      0.441,
      0.4836,
      0.4076,
      0.6822,
      0.5314,
      0.3964,
      0.4845,
      0.5337,
      0.6355,
      0.5062,
      0.3288,
      0.3908,
      0.3612,
      0.3339,
      0,
      0.3099,
      0.4323,
      0.3325,
      0.3901,
      0.4554,
      0.1786,
      0.4598,
      0.5418,
      0.1367,
      0.3261,
      0.4452,
      0.5412,
      0.4682,
      0.4007,
      0.266,
      0.4022,
      0.2172,
      0.2225,
      0.404,
      0.4746,
      0.4604,
      0.6121,
      0.4557,
      0.2573,
      0.5762,
      0.3766,
      0.414,
      0.327,
      0.5593,
      0.0849,
      0.2436,
      0.3691,
      0.3264,
      0.3535,
      0.3749,
      0.5549,
      0.4951,
      0.4567,
      0.4641,
      0.2054,
      0.31,
      0.2097,
      0.0689,
      0.2719,
      0.2546,
      0.2205,
      0.3306,
      0.1684,
      0.2696,
      0.4496,
      0.1981,
      0.2603,
      0.5756,
      0.274,
      0.1749,
      0.2605,
      0.3737,
      0.3072,
      0.159,
      0.2693,
      0.2446,
      0.002,
      0.3806,
      0.6273,
      0.2744,
      0.1059,
      0.5931,
      0.2418,
      0.101,
      0.2043,
      0.3752,
      0,
      0.5061,
      0.5003,
      0.2053,
      0.5828,
      0.1947,
      0.4862,
      0.2935,
      0.2404,
      0.5127,
      0.584,
      0.3287,
      0.5947,
      0.1946,
      0.4264,
      0.5864,
      0.2493,
      0.633,
      0.3419,
      0.1335,
      0.6136,
      0.341,
      0.5624,
      0.5733,
      0.5371,
      0.4228,
      0.4906,
      0.3559,
      0.2441,
      0.4011,
      0.4262,
      0.4601,
      0.2772,
      0.3153,
      0.2764,
      0.2537,
      0.3134,
      0.5014,
      0.2791,
      0.4528,
      0.5997,
      0.5206,
      0.4073,
      0.2612,
      0.507,
      0.1124,
      0.1971,
      0.4485,
      0.3448,
      0.282,
      0.2384,
      0.6403,
      0.4273,
      0.1856,
      0.6508,
      0.2299,
      0.3708,
      0.2936,
      0.2551,
      0.2828,
      0.2759,
      0.636,
      0.4259,
      0.4804,
      0.4538,
      0.4431,
      0.2565,
      0.2569,
      0.6045,
      0.2371,
      0.0698,
      0.2403,
      0.2846,
      0.2368,
      0.3278,
      0.3239,
      0.319,
      0.3927,
      0.1908,
      0.3877,
      0.3479,
      0.2548,
      0.6462,
      0.311,
      0.4147,
      0.3751,
      0.3029,
      0.4085,
      0.2995,
      0,
      0.5439,
      0.4746,
      0.2901,
      0.1812,
      0.2632,
      0.1272,
      0.6466,
      0.1476,
      0.1089,
      0.5092,
      0.2028,
      0.2096,
      0.4459,
      0.3294,
      0.2725,
      0.1748,
      0.3138,
      0.5709,
      0.2967,
      0.3604,
      0.4696,
      0.1633,
      0.1131,
      0.5444,
      0.3774,
      0.3538,
      0.3731,
      0.1192,
      0.5263,
      0.1733,
      0.0473,
      0.3456,
      0.1598,
      0.0547,
      0.5296,
      0.3618,
      0.1807,
      0.5175,
      0.5283,
      0.2057,
      0.103,
      0.3396,
      0.1048,
      0.0981,
      0.2085,
      0.1843,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1056,
      0.2409,
      0.3039,
      0.4348,
      0.1505,
      0.2335,
      0.1924,
      0.384,
      0.2215,
      0.2098,
      0.5644,
      0.4743,
      0.4051,
      0.1552,
      0.2464,
      0.2338,
      0.3782,
      0.2933,
      0.3528,
      0.2558,
      0.2452,
      0.3087,
      0.2353,
      0.2538,
      0.4502,
      0.232,
      0.3631,
      0.3225,
      0.2929,
      0,
      0.2955,
      0.1584,
      0.4479,
      0.1529,
      0.1379,
      0.5325,
      0.0806,
      0.1851,
      0.3242,
      0.2411,
      0.2155,
      0.0687,
      0.3719,
      0.2741,
      0.1304,
      0.1369,
      0.218,
      0.0441,
      0.3176,
      0.5982,
      0.2051,
      0.3952,
      0.5091,
      0.3181,
      0.3339,
      0.1127,
      0.5775,
      0.3115,
      0.6284,
      0.3339,
      0.5971,
      0.3509,
      0.2868,
      0.5355,
      0.1307,
      0,
      0.4843,
      0.1436,
      0.1157,
      0.4915,
      0.5322,
      0.0589,
      0.4202,
      0.4121,
      0.4175,
      0.3502,
      0.3666,
      0.3514,
      0.3229,
      0.3281,
      0.5402,
      0.5094,
      0.2407,
      0.3212,
      0.4106,
      0.3478,
      0.0294,
      0.3109,
      0.1364,
      0.216,
      0.3311,
      0.3019,
      0.2161,
      0.1838,
      0.5614,
      0.1593,
      0.0433,
      0.4462,
      0.4201,
      0.3251,
      0.3125,
      0.315,
      0.3657,
      0.2234,
      0.2464,
      0.4301,
      0.3261,
      0.2028,
      0.5098,
      0.3447,
      0.1584,
      0.5513,
      0.3066,
      0.3567,
      0.3647,
      0.4965,
      0.2803,
      0.22,
      0.3115,
      0.3425,
      0.3548,
      0.2611,
      0.5205,
      0.5698,
      0.3654,
      0.4679,
      0.1986,
      0.1762,
      0.1617,
      0.1276,
      0.2809,
      0.1612,
      0.2402,
      0.3574,
      0.2909,
      0.2106,
      0.5581,
      0.1501,
      0.27,
      0.5375,
      0.2643,
      0.2846,
      0.187,
      0.3209,
      0.3457,
      0.182,
      0.2594,
      0.2624,
      0.1322,
      0.3581,
      0.4378,
      0.2061,
      0.0287,
      0.596,
      0.2636,
      0,
      0.2767,
      0.1283,
      0,
      0.484,
      0.5012,
      0.1544,
      0.3497,
      0.1694,
      0.377,
      0.3066,
      0.2024,
      0.5703,
      0.5667,
      0.3665,
      0.3997,
      0.2495,
      0.419,
      0.5067,
      0.1869,
      0.5397,
      0.0925,
      0.1952,
      0.2982,
      0.3081,
      0.4516,
      0.4878,
      0.4971,
      0.1919,
      0.4728,
      0.4718,
      0.2467,
      0.2612,
      0.1881,
      0.3727,
      0.3557,
      0.2991,
      0.2547,
      0.3121,
      0.1363,
      0.4136,
      0.1131,
      0.4188,
      0.4745,
      0.4509,
      0.3066,
      0.1929,
      0.5429,
      0.1776,
      0.2152,
      0.2914,
      0.3119,
      0.2861,
      0.2618,
      0.5122,
      0.5054,
      0.236,
      0.541,
      0.2175,
      0.2971,
      0.1928,
      0.2813,
      0.2262,
      0.2672,
      0.6331,
      0.3152,
      0.4697,
      0.4276,
      0.4178,
      0.1817,
      0.2295,
      0.5556,
      0.2584,
      0.2999,
      0.2492,
      0.3,
      0.3716,
      0.2933,
      0.1182,
      0.2398,
      0.3326,
      0.1776,
      0.4248,
      0.3503,
      0.3148,
      0.585,
      0.2881,
      0.2934,
      0.3631,
      0.1155,
      0.2415,
      0,
      0,
      0.3777,
      0.478,
      0.2513,
      0.2869,
      0.2761,
      0.0233,
      0.5931,
      0.1542,
      0.1429,
      0.4706,
      0.3488,
      0.202,
      0.3718,
      0.412,
      0.2543,
      0.1435,
      0.2009,
      0.5672,
      0.2814,
      0.3649,
      0.3282,
      0.2184,
      0.1238,
      0.5783,
      0.2588,
      0.2669,
      0.233,
      0.14,
      0.5181,
      0.0553,
      0,
      0.3386,
      0.1514,
      0.0415,
      0.525,
      0.154,
      0,
      0.5983,
      0.2879,
      0.2218,
      0.1076,
      0.3877,
      0.057,
      0.1062,
      0.2808,
      0.1049,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0506,
      0.1491,
      0.2995,
      0.3919,
      0.0958,
      0.2514,
      0.244,
      0.3031,
      0.2338,
      0.1942,
      0.5063,
      0.649,
      0.3977,
      0.1262,
      0.1446,
      0.1872,
      0.441,
      0.049,
      0.3265,
      0.2654,
      0.1802,
      0.1723,
      0.1132,
      0.1477,
      0.3214,
      0.3879,
      0.1697,
      0.2725,
      0.1915,
      0.0447,
      0.2773,
      0.238,
      0.2954,
      0.1946,
      0.1628,
      0.468,
      0.1071,
      0.2149,
      0.3104,
      0.1773,
      0.23,
      0.0877,
      0.2441,
      0.194,
      0.1301,
      0.254,
      0.3107,
      0.0803,
      0.1252,
      0.5555,
      0.3204,
      0.4198,
      0.6776,
      0.2427,
      0.2138,
      0.1632,
      0.6517,
      0.3857,
      0.456,
      0.5674,
      0.6765,
      0.1767,
      0.2721,
      0.4621,
      0.0716,
      0.0887,
      0.5015,
      0.108,
      0.1696,
      0.6016,
      0.3196,
      0.036,
      0.5131,
      0.3118,
      0.3934,
      0.1157,
      0.2588,
      0.5595,
      0.2563,
      0.2563,
      0.6284,
      0.5275,
      0.3486,
      0.3796,
      0.426,
      0.2384,
      0.3378,
      0.2915,
      0.3511,
      0.1799,
      0.295,
      0.312,
      0.1219,
      0.0721,
      0.53,
      0.1344,
      0.0665,
      0.4349,
      0.5474,
      0.407,
      0.2754,
      0.2822,
      0.3072,
      0.248,
      0.1199,
      0.2906,
      0.3291,
      0.2307,
      0.4519,
      0.2651,
      0.1689,
      0.5037,
      0.3621,
      0.2898,
      0.2882,
      0.5587,
      0.2048,
      0.28,
      0.3252,
      0.358,
      0.2651,
      0.2422,
      0.4348,
      0.5853,
      0.3235,
      0.4696,
      0.0771,
      0.1645,
      0.1375,
      0,
      0.1245,
      0.1187,
      0.2525,
      0.347,
      0.0817,
      0.1393,
      0.504,
      0.3656,
      0.2409,
      0.5636,
      0.2638,
      0.2005,
      0.0865,
      0.3198,
      0.1942,
      0.0834,
      0.2985,
      0.1923,
      0.0125,
      0.297,
      0.3086,
      0.2295,
      0.2046,
      0.6024,
      0.261,
      0.0223,
      0.4273,
      0.1877,
      0,
      0.2927,
      0.5023,
      0.1511,
      0.2767,
      0.1391,
      0.3619,
      0.2849,
      0.2075,
      0.5493,
      0.4812,
      0.2758,
      0.4184,
      0.4373,
      0.3434,
      0.4007,
      0.1553,
      0.3375,
      0.0219,
      0.3737,
      0.2725,
      0.2817,
      0.227,
      0.4637,
      0.3063,
      0.2218,
      0.4936,
      0.3906,
      0.2119,
      0.2017,
      0.2281,
      0.3571,
      0.2516,
      0.3251,
      0.2456,
      0.2792,
      0.2223,
      0.3489,
      0.0722,
      0.3764,
      0.4982,
      0.3151,
      0.204,
      0.1069,
      0.4926,
      0.0569,
      0.1974,
      0.3248,
      0.2295,
      0.3384,
      0.293,
      0.4235,
      0.4929,
      0.135,
      0.5098,
      0.2752,
      0.2336,
      0.2546,
      0.2149,
      0.2787,
      0.2985,
      0.5612,
      0.3149,
      0.2358,
      0.3915,
      0.3521,
      0.3246,
      0.2121,
      0.5128,
      0.2546,
      0.1648,
      0.0952,
      0.3538,
      0.1794,
      0.215,
      0.166,
      0.2508,
      0.2128,
      0.1357,
      0.3899,
      0.3705,
      0.2251,
      0.5164,
      0.2362,
      0.2988,
      0.3542,
      0.187,
      0.2132,
      0.1443,
      0,
      0.3064,
      0.4655,
      0.251,
      0.4212,
      0.23,
      0.023,
      0.4996,
      0.1291,
      0.0742,
      0.5196,
      0.3092,
      0.0906,
      0.2173,
      0.3732,
      0.2861,
      0.1545,
      0.2622,
      0.5601,
      0.1443,
      0.4531,
      0.3855,
      0.2948,
      0.1212,
      0.5997,
      0.346,
      0.3605,
      0.1026,
      0.1221,
      0.3959,
      0.2318,
      0,
      0.3591,
      0.1639,
      0.0907,
      0.4001,
      0.096,
      0.0769,
      0.6084,
      0.3347,
      0.1721,
      0.1442,
      0.379,
      0.0923,
      0.111,
      0.3167,
      0.0897,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0984,
      0.1169,
      0.2832,
      0.2226,
      0.1131,
      0.2702,
      0.1535,
      0.2216,
      0.2726,
      0.1676,
      0.4002,
      0.5706,
      0.3088,
      0.1245,
      0.0077,
      0.1811,
      0.4649,
      0.1396,
      0.2767,
      0.2072,
      0.2622,
      0.2102,
      0.2161,
      0.2018,
      0.2153,
      0.3059,
      0.1484,
      0.1752,
      0.0631,
      0.0887,
      0.2594,
      0.2624,
      0.2508,
      0.1037,
      0.1312,
      0.5876,
      0.0481,
      0.0907,
      0.2303,
      0.2045,
      0.2829,
      0.1032,
      0.2893,
      0.2092,
      0.1566,
      0.3071,
      0.3039,
      0.1984,
      0,
      0.6016,
      0.186,
      0.2977,
      0.4403,
      0.2276,
      0.1523,
      0.0975,
      0.5205,
      0.3522,
      0.3313,
      0.463,
      0.4603,
      0.2481,
      0.1687,
      0.5147,
      0.0938,
      0.0331,
      0.4646,
      0.1084,
      0.0911,
      0.6091,
      0.3212,
      0.072,
      0.4543,
      0.246,
      0.4139,
      0.2196,
      0.2464,
      0.4021,
      0.299,
      0.1643,
      0.5879,
      0.4375,
      0.3076,
      0.3697,
      0.3974,
      0.2233,
      0.0289,
      0.1958,
      0.2914,
      0.1752,
      0.2679,
      0.3645,
      0.2298,
      0.1298,
      0.5814,
      0.0605,
      0.1385,
      0.3484,
      0.4967,
      0.4595,
      0.2827,
      0.2257,
      0.1961,
      0.2483,
      0.0966,
      0.2664,
      0.2938,
      0.2774,
      0.4569,
      0.2058,
      0.193,
      0.3989,
      0.1947,
      0.3687,
      0.1982,
      0.586,
      0.2158,
      0.2106,
      0.25,
      0.2773,
      0.2556,
      0.3554,
      0.5044,
      0.4828,
      0.3231,
      0.3741,
      0.0478,
      0.0817,
      0.0877,
      0,
      0.1895,
      0.0752,
      0.0954,
      0.3865,
      0.2279,
      0.1019,
      0.2832,
      0.0837,
      0.0763,
      0.5263,
      0.2615,
      0.1131,
      0.0753,
      0.3255,
      0.1439,
      0.1321,
      0.1775,
      0.1879,
      0.1187,
      0.2869,
      0.3402,
      0.1599,
      0.0429,
      0.5869,
      0.223,
      0,
      0.2567,
      0.2153,
      0,
      0.2746,
      0.5113,
      0.1484,
      0.3685,
      0.1368,
      0.3416,
      0.201,
      0.1089,
      0.5904,
      0.4319,
      0.1913,
      0.4307,
      0.1727,
      0.352,
      0.2271,
      0.1508,
      0.2898,
      0.0592,
      0.2818,
      0.2693,
      0.242,
      0.1648,
      0.5451,
      0.3067,
      0.2763,
      0.3405,
      0.2129,
      0.1777,
      0.3304,
      0.1956,
      0.3705,
      0.2085,
      0.3375,
      0.2257,
      0.2671,
      0.2067,
      0.3924,
      0.063,
      0.3607,
      0.5288,
      0.3268,
      0.2402,
      0.0612,
      0.5101,
      0.1389,
      0.2412,
      0.1633,
      0.2458,
      0.2704,
      0.2483,
      0.3414,
      0.3217,
      0.1754,
      0.5835,
      0.2408,
      0.1605,
      0.2377,
      0.1851,
      0.3009,
      0.2581,
      0.3183,
      0.3291,
      0.3089,
      0.5255,
      0.5051,
      0.1,
      0.1288,
      0.6042,
      0.2661,
      0.0995,
      0.0703,
      0.3509,
      0.2282,
      0.2569,
      0.138,
      0.2461,
      0.293,
      0.161,
      0.3381,
      0.4027,
      0.1554,
      0.6015,
      0.3027,
      0.2487,
      0.2561,
      0.1934,
      0.2064,
      0.1906,
      0,
      0.3305,
      0.332,
      0.2448,
      0.3916,
      0.277,
      0.0521,
      0.5472,
      0.1493,
      0.0398,
      0.4223,
      0.1449,
      0.2059,
      0.3014,
      0.2701,
      0.2363,
      0.1114,
      0.2017,
      0.3354,
      0.2154,
      0.5838,
      0.3711,
      0.3692,
      0.1636,
      0.5753,
      0.3291,
      0.3968,
      0.0505,
      0.0246,
      0.2891,
      0.0717,
      0,
      0.335,
      0.0486,
      0.0666,
      0.3975,
      0,
      0.083,
      0.6046,
      0.188,
      0.1735,
      0.1413,
      0.3021,
      0.1341,
      0.1875,
      0.2151,
      0.1431,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0954,
      0.1252,
      0.3375,
      0.2697,
      0.1862,
      0.2229,
      0.2235,
      0.1285,
      0.1046,
      0.1007,
      0.3652,
      0.2514,
      0.2052,
      0.1128,
      0.0492,
      0.1697,
      0.4161,
      0.2453,
      0.1451,
      0.4537,
      0.3526,
      0.1916,
      0.2542,
      0.2816,
      0.2217,
      0.1286,
      0.0345,
      0.1917,
      0.1258,
      0.1346,
      0.2836,
      0.3582,
      0.2271,
      0.0729,
      0.0247,
      0.5693,
      0.022,
      0.2546,
      0.3039,
      0.3212,
      0.3644,
      0.1653,
      0.3708,
      0.213,
      0.2076,
      0.2387,
      0.3064,
      0.1705,
      0,
      0.5997,
      0.1565,
      0.2371,
      0.4753,
      0.4466,
      0.1827,
      0.1254,
      0.4809,
      0.3792,
      0.4083,
      0.3273,
      0.4369,
      0.2846,
      0.0138,
      0.5514,
      0.1671,
      0.0109,
      0.5024,
      0.0935,
      0.1317,
      0.5372,
      0.4662,
      0.092,
      0.405,
      0.1943,
      0.3538,
      0.2299,
      0.2743,
      0.4532,
      0.4206,
      0.0594,
      0.5384,
      0.4189,
      0.4688,
      0.4261,
      0.3455,
      0.209,
      0.0018,
      0.1547,
      0.1983,
      0.1938,
      0.2665,
      0.3556,
      0.3006,
      0.1828,
      0.5371,
      0.2305,
      0,
      0.4026,
      0.4744,
      0.415,
      0.296,
      0.1744,
      0.1301,
      0.2234,
      0.0661,
      0.2866,
      0.2935,
      0.3473,
      0.5247,
      0.1342,
      0.1777,
      0.4938,
      0.1443,
      0.3188,
      0.1598,
      0.4961,
      0.2408,
      0.1921,
      0.2789,
      0.2642,
      0.1944,
      0.4495,
      0.461,
      0.3857,
      0.3571,
      0.4628,
      0,
      0.1375,
      0.2794,
      0.0822,
      0.2534,
      0.1586,
      0.2711,
      0.2328,
      0.1384,
      0.0254,
      0.3244,
      0.1213,
      0.2684,
      0.5446,
      0.2775,
      0.0871,
      0.2805,
      0.3372,
      0.1495,
      0.0789,
      0.1131,
      0.1711,
      0.0442,
      0.2838,
      0.3323,
      0.1701,
      0.0481,
      0.5633,
      0.1209,
      0.1174,
      0.1942,
      0.1657,
      0,
      0.3554,
      0.4741,
      0.1335,
      0.4278,
      0.1802,
      0.3233,
      0.2405,
      0.0621,
      0.5498,
      0.4513,
      0.2385,
      0.4045,
      0.3505,
      0.431,
      0.4243,
      0.103,
      0.2012,
      0.1314,
      0.2804,
      0.2878,
      0.2346,
      0.3626,
      0.5344,
      0.4546,
      0.2311,
      0.4754,
      0.3349,
      0.1314,
      0.2278,
      0.1449,
      0.3606,
      0.3081,
      0.3348,
      0.2288,
      0.2273,
      0.4176,
      0.4948,
      0.1456,
      0.4539,
      0.5599,
      0.2775,
      0.2355,
      0.1023,
      0.447,
      0.1366,
      0.1784,
      0.1951,
      0.286,
      0.1811,
      0.4183,
      0.3694,
      0.1855,
      0.2484,
      0.566,
      0.2883,
      0.1921,
      0.2585,
      0.2747,
      0.4938,
      0.1728,
      0.3147,
      0.428,
      0.3392,
      0.3982,
      0.3996,
      0.0928,
      0.3116,
      0.6023,
      0.3046,
      0.1437,
      0.2994,
      0.3038,
      0.2409,
      0.1937,
      0.1604,
      0.1913,
      0.2738,
      0.2696,
      0.3118,
      0.2103,
      0.1435,
      0.5806,
      0.253,
      0.2995,
      0.3986,
      0.2415,
      0.3747,
      0,
      0,
      0.4357,
      0.2941,
      0.298,
      0.2396,
      0.2296,
      0.067,
      0.5716,
      0.2901,
      0.1308,
      0.4896,
      0.1205,
      0.2179,
      0.4303,
      0.2019,
      0.3609,
      0.0842,
      0.2241,
      0.3281,
      0.1904,
      0.5214,
      0.4274,
      0.3827,
      0.2365,
      0.574,
      0.232,
      0.423,
      0.0693,
      0.0857,
      0.2278,
      0.2939,
      0.0713,
      0.3724,
      0.1665,
      0,
      0.3355,
      0.0044,
      0.0477,
      0.5439,
      0.1351,
      0.1413,
      0.1714,
      0.5397,
      0.1165,
      0.1704,
      0.1864,
      0.1142,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0798,
      0.1698,
      0.3003,
      0.2974,
      0.2553,
      0.1502,
      0.3418,
      0.1084,
      0.2048,
      0.1809,
      0.3528,
      0.2787,
      0.165,
      0.1654,
      0.1434,
      0.2462,
      0.3531,
      0.3853,
      0.2717,
      0.4538,
      0.3873,
      0.1883,
      0.2447,
      0.313,
      0.416,
      0.1614,
      0.1051,
      0.2485,
      0.1873,
      0.2639,
      0.3227,
      0.3585,
      0.2959,
      0.1087,
      0.2241,
      0.59,
      0.1182,
      0.2272,
      0.2927,
      0.299,
      0.3114,
      0.3456,
      0.314,
      0.3081,
      0.4048,
      0.2744,
      0.2245,
      0.3346,
      0.0905,
      0.6147,
      0.2215,
      0.2513,
      0.4261,
      0.4188,
      0.1486,
      0.1687,
      0.5224,
      0.608,
      0.4303,
      0.2798,
      0.4874,
      0.409,
      0.0321,
      0.5756,
      0.293,
      0.1028,
      0.4553,
      0.0202,
      0.0884,
      0.569,
      0.5084,
      0.3379,
      0.4475,
      0.2882,
      0.4166,
      0.2606,
      0.2711,
      0.4843,
      0.446,
      0.2257,
      0.5444,
      0.5729,
      0.7457,
      0.5323,
      0.3077,
      0.6736,
      0.2077,
      0.2042,
      0.3728,
      0.1225,
      0.3191,
      0.5443,
      0.4864,
      0.2183,
      0.5644,
      0.4509,
      0.4076,
      0.4223,
      0.4828,
      0.482,
      0.4227,
      0.3535,
      0.1815,
      0.3449,
      0.2872,
      0.3001,
      0.4026,
      0.3529,
      0.5112,
      0.3965,
      0.1517,
      0.468,
      0.2336,
      0.3178,
      0.285,
      0.5272,
      0.2446,
      0.238,
      0.394,
      0.2547,
      0.1822,
      0.4789,
      0.4643,
      0.3965,
      0.3374,
      0.4404,
      0.0701,
      0.1424,
      0.3227,
      0.0915,
      0.3181,
      0.3164,
      0.3029,
      0.2473,
      0.2194,
      0.1419,
      0.393,
      0.1874,
      0.2385,
      0.5133,
      0.2905,
      0.3018,
      0.3205,
      0.3954,
      0.3434,
      0.3314,
      0.3351,
      0.2773,
      0.1644,
      0.3536,
      0.3999,
      0.6484,
      0.2836,
      0.5512,
      0.6381,
      0.2695,
      0.2369,
      0.2518,
      0.1167,
      0.3953,
      0.6105,
      0.1958,
      0.4629,
      0.141,
      0.3517,
      0.2424,
      0.0751,
      0.5535,
      0.3864,
      0.4036,
      0.5315,
      0.2779,
      0.4441,
      0.5073,
      0.203,
      0.2899,
      0.4752,
      0.2756,
      0.2705,
      0.4278,
      0.5462,
      0.5453,
      0.5902,
      0.4264,
      0.559,
      0.6242,
      0.3498,
      0.2835,
      0.3511,
      0.5746,
      0.4017,
      0.5911,
      0.3672,
      0.2792,
      0.3966,
      0.5278,
      0.3857,
      0.4989,
      0.5074,
      0.3676,
      0.361,
      0.1562,
      0.5083,
      0.3409,
      0.1069,
      0.3201,
      0.3267,
      0.1815,
      0.5218,
      0.3657,
      0.1536,
      0.4367,
      0.5535,
      0.2621,
      0.2046,
      0.4304,
      0.2878,
      0.6554,
      0.2935,
      0.2846,
      0.4145,
      0.5658,
      0.3351,
      0.3892,
      0.2651,
      0.2301,
      0.6077,
      0.3082,
      0.2773,
      0.3266,
      0.3452,
      0.3561,
      0.3544,
      0.306,
      0.269,
      0.2358,
      0.3503,
      0.3638,
      0.2665,
      0.3377,
      0.5991,
      0.3186,
      0.4074,
      0.3817,
      0.2957,
      0.3292,
      0.1623,
      0,
      0.363,
      0.2941,
      0.2547,
      0.2557,
      0.2111,
      0.0241,
      0.5829,
      0.4181,
      0.1307,
      0.4601,
      0.1896,
      0.2049,
      0.4766,
      0.2453,
      0.428,
      0.0876,
      0.2308,
      0.3517,
      0.2075,
      0.3814,
      0.4596,
      0.3061,
      0.2252,
      0.5519,
      0.3849,
      0.498,
      0.0881,
      0.0054,
      0.2259,
      0.1845,
      0.064,
      0.2776,
      0.1787,
      0.0128,
      0.3902,
      0.0932,
      0.0383,
      0.5578,
      0.331,
      0.1885,
      0.1805,
      0.416,
      0.098,
      0.1926,
      0.2243,
      0.1683,
      0,
      0,
      0,
      0,
      0,
      0,
      0.113,
      0.1869,
      0.2997,
      0.2974,
      0.4115,
      0.2195,
      0.3959,
      0.1635,
      0.1989,
      0.3096,
      0.3008,
      0.2325,
      0.1522,
      0.1525,
      0.2485,
      0.2385,
      0.4158,
      0.4004,
      0.2127,
      0.3265,
      0.291,
      0.2172,
      0.223,
      0.2419,
      0.5701,
      0.2825,
      0.223,
      0.1989,
      0.2683,
      0.1894,
      0.2502,
      0.2429,
      0.4335,
      0.0143,
      0.1996,
      0.5485,
      0.1219,
      0.0636,
      0.3523,
      0.2823,
      0.2366,
      0.2547,
      0.2935,
      0.3143,
      0.2417,
      0.3502,
      0.2456,
      0.1929,
      0.0937,
      0.5387,
      0.156,
      0.3107,
      0.4935,
      0.398,
      0.2118,
      0.1192,
      0.4344,
      0.6398,
      0.4678,
      0.2885,
      0.5061,
      0.2108,
      0.0853,
      0.5205,
      0.2879,
      0.0215,
      0.4885,
      0.0791,
      0.0091,
      0.5066,
      0.4594,
      0.1778,
      0.4848,
      0.2757,
      0.337,
      0.2606,
      0.3203,
      0.4708,
      0.4226,
      0.3099,
      0.5396,
      0.3907,
      0.4797,
      0.5125,
      0.3558,
      0.5545,
      0.0635,
      0.2566,
      0.2511,
      0.1393,
      0.3723,
      0.4503,
      0.2515,
      0.1943,
      0.5425,
      0.3517,
      0.3086,
      0.3946,
      0.4113,
      0.4355,
      0.3075,
      0.2502,
      0.2436,
      0.3759,
      0.3162,
      0.3016,
      0.5222,
      0.4339,
      0.4896,
      0.4796,
      0.1833,
      0.5077,
      0.2826,
      0.2695,
      0.2731,
      0.4441,
      0.4373,
      0.1353,
      0.4445,
      0.3249,
      0.2314,
      0.511,
      0.5573,
      0.387,
      0.2802,
      0.481,
      0.1809,
      0.1099,
      0.2486,
      0.1297,
      0.2804,
      0.1787,
      0.2275,
      0.2543,
      0.1818,
      0.0717,
      0.3986,
      0.2543,
      0.2533,
      0.5412,
      0.2562,
      0.3005,
      0.2965,
      0.3637,
      0.3584,
      0.2546,
      0.3678,
      0.1365,
      0.0947,
      0.1752,
      0.3291,
      0.4438,
      0.241,
      0.5185,
      0.5114,
      0.2302,
      0.3165,
      0.2765,
      0.0472,
      0.4321,
      0.5649,
      0.1899,
      0.4804,
      0.1707,
      0.3242,
      0.2771,
      0.1773,
      0.5019,
      0.4301,
      0.3306,
      0.5287,
      0.3216,
      0.4652,
      0.498,
      0.1073,
      0.4086,
      0.3151,
      0.1377,
      0.3017,
      0.3319,
      0.4549,
      0.5579,
      0.4391,
      0.2562,
      0.5263,
      0.463,
      0.2508,
      0.4716,
      0.3005,
      0.4425,
      0.3702,
      0.468,
      0.3169,
      0.2547,
      0.3936,
      0.4777,
      0.2126,
      0.3475,
      0.5029,
      0.3554,
      0.2568,
      0.0449,
      0.3633,
      0.3653,
      0.1058,
      0.3548,
      0.3185,
      0.1536,
      0.4926,
      0.4216,
      0.4407,
      0.3769,
      0.5251,
      0.2605,
      0.2903,
      0.4349,
      0.371,
      0.5633,
      0.1998,
      0.3537,
      0.4633,
      0.627,
      0.3997,
      0.4006,
      0.216,
      0.3006,
      0.5452,
      0.2259,
      0.2183,
      0.3306,
      0.2599,
      0.3199,
      0.2693,
      0.245,
      0.1163,
      0.2333,
      0.2556,
      0.3547,
      0.3068,
      0.2753,
      0.5308,
      0.213,
      0.446,
      0.4018,
      0.2494,
      0.3798,
      0.2056,
      0,
      0.3137,
      0.3916,
      0.2879,
      0.282,
      0.2638,
      0.0739,
      0.4955,
      0.2973,
      0.1062,
      0.4974,
      0.2555,
      0.2337,
      0.4488,
      0.3402,
      0.3816,
      0.0347,
      0.2858,
      0.2977,
      0.2935,
      0.4305,
      0.4685,
      0.2386,
      0.2014,
      0.5541,
      0.2988,
      0.4858,
      0.0065,
      0.0002,
      0.2675,
      0.1732,
      0.0742,
      0.1671,
      0.1205,
      0.1601,
      0.3771,
      0.1719,
      0.0658,
      0.5295,
      0.4013,
      0.1575,
      0.1999,
      0.3011,
      0.1251,
      0.1273,
      0.2918,
      0.1716,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0797,
      0.2875,
      0.3134,
      0.3508,
      0.3751,
      0.2192,
      0.2677,
      0.2256,
      0.18,
      0.3735,
      0.5892,
      0.2061,
      0.2854,
      0.282,
      0.2363,
      0.3599,
      0.4675,
      0.3924,
      0.2777,
      0.1661,
      0.279,
      0.2767,
      0.236,
      0.2993,
      0.6005,
      0.2756,
      0.2955,
      0.2413,
      0.3198,
      0.0755,
      0.2,
      0.1274,
      0.396,
      0.1138,
      0.1655,
      0.5779,
      0.0543,
      0.1207,
      0.3833,
      0.3784,
      0.3633,
      0.0757,
      0.272,
      0.2762,
      0.2248,
      0.3014,
      0.3505,
      0.3133,
      0.1224,
      0.4952,
      0.1818,
      0.3738,
      0.5273,
      0.3879,
      0.2181,
      0.1837,
      0.5229,
      0.54,
      0.534,
      0.4321,
      0.4954,
      0.2745,
      0.3551,
      0.4199,
      0.1942,
      0.0119,
      0.5564,
      0.4322,
      0.022,
      0.4865,
      0.5625,
      0.168,
      0.4514,
      0.3537,
      0.4307,
      0.5395,
      0.4498,
      0.4654,
      0.5046,
      0.4915,
      0.5403,
      0.4365,
      0.2914,
      0.6235,
      0.2903,
      0.283,
      0,
      0.2298,
      0.4899,
      0.2305,
      0.3458,
      0.3658,
      0.2073,
      0.5749,
      0.5509,
      0.2806,
      0.2851,
      0.4616,
      0.3006,
      0.3526,
      0.3584,
      0.2674,
      0.2729,
      0.4202,
      0.287,
      0.3015,
      0.4111,
      0.4057,
      0.4655,
      0.3125,
      0.3115,
      0.5509,
      0.4263,
      0.2321,
      0.1651,
      0.4527,
      0.3278,
      0.2334,
      0.4436,
      0.3716,
      0.361,
      0.4442,
      0.6328,
      0.3867,
      0.3459,
      0.5221,
      0.1708,
      0.1337,
      0.0868,
      0.0952,
      0.2301,
      0.1962,
      0.2839,
      0.3587,
      0.2986,
      0.1662,
      0.4818,
      0.1728,
      0.3175,
      0.5934,
      0.2767,
      0.1824,
      0.0757,
      0.297,
      0.2658,
      0.1151,
      0.177,
      0.3162,
      0.0919,
      0.2886,
      0.5335,
      0.3472,
      0.1038,
      0.5956,
      0.307,
      0.1822,
      0.1803,
      0.379,
      0.0886,
      0.2299,
      0.4276,
      0.2002,
      0.7054,
      0.1967,
      0.3742,
      0.3632,
      0.2352,
      0.5406,
      0.469,
      0.1925,
      0.6649,
      0.265,
      0.4208,
      0.5999,
      0.2158,
      0.6115,
      0.2883,
      0.1578,
      0.5579,
      0.3729,
      0.3116,
      0.5638,
      0.402,
      0.2612,
      0.5462,
      0.3037,
      0.2174,
      0.5433,
      0.5718,
      0.3071,
      0.4681,
      0.4278,
      0.2667,
      0.3595,
      0.4501,
      0.3592,
      0.156,
      0.4483,
      0.5824,
      0.3627,
      0.2198,
      0.1782,
      0.3468,
      0.2581,
      0.1724,
      0.3399,
      0.3601,
      0.2819,
      0.4308,
      0.4938,
      0.4231,
      0.1828,
      0.5877,
      0.2316,
      0.2873,
      0.3812,
      0.2935,
      0.5626,
      0.258,
      0.4228,
      0.5944,
      0.4446,
      0.4234,
      0.4036,
      0.2298,
      0.3346,
      0.5155,
      0.2314,
      0.1034,
      0.115,
      0.3628,
      0.3098,
      0.197,
      0.1871,
      0.3309,
      0.2526,
      0.2289,
      0.3893,
      0.3553,
      0.3318,
      0.5267,
      0.3009,
      0.4182,
      0.4298,
      0.2668,
      0.4577,
      0.3104,
      0.0352,
      0.3394,
      0.4311,
      0.2335,
      0.3076,
      0.3381,
      0.0191,
      0.4033,
      0.1762,
      0.089,
      0.5545,
      0.2433,
      0.1546,
      0.3753,
      0.2568,
      0.2789,
      0.1507,
      0.3417,
      0.505,
      0.2867,
      0.2699,
      0.4117,
      0.273,
      0.2309,
      0.5922,
      0.2792,
      0.3719,
      0.2375,
      0.0052,
      0.4468,
      0.1987,
      0,
      0.2103,
      0.1105,
      0.1178,
      0.4231,
      0.3426,
      0.0657,
      0.5407,
      0.3962,
      0.1661,
      0.2219,
      0.3076,
      0.2035,
      0.221,
      0.1365,
      0.122,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1061,
      0.1572,
      0.3014,
      0.3451,
      0.2038,
      0.2335,
      0.1012,
      0.3938,
      0.1252,
      0.3349,
      0.6339,
      0.1864,
      0.3658,
      0.2831,
      0.1292,
      0.2557,
      0.4983,
      0.3263,
      0.286,
      0.1554,
      0.2758,
      0.2614,
      0.1817,
      0.2609,
      0.6194,
      0.2608,
      0.3368,
      0.228,
      0.0774,
      0.1366,
      0.2178,
      0.0677,
      0.3781,
      0.0985,
      0.2346,
      0.6491,
      0.095,
      0.1695,
      0.3637,
      0.2252,
      0.3193,
      0.0937,
      0.3513,
      0.3143,
      0.1877,
      0.2318,
      0.3486,
      0.2307,
      0.2459,
      0.601,
      0.1784,
      0.4699,
      0.4908,
      0.3047,
      0.231,
      0.1714,
      0.6003,
      0.367,
      0.5779,
      0.2626,
      0.486,
      0.3104,
      0.3623,
      0.4956,
      0.1669,
      0,
      0.5537,
      0.1443,
      0,
      0.546,
      0.3741,
      0.1419,
      0.3714,
      0.3339,
      0.4683,
      0.4461,
      0.3013,
      0.4569,
      0.5074,
      0.3738,
      0.5974,
      0.3236,
      0.193,
      0.5581,
      0.354,
      0.1777,
      0,
      0.17,
      0.2483,
      0.2716,
      0.2362,
      0.3864,
      0.2012,
      0.5316,
      0.5929,
      0.1653,
      0.2925,
      0.4249,
      0.4038,
      0.3784,
      0.2407,
      0.2982,
      0.3711,
      0.3624,
      0.2092,
      0.1784,
      0.2879,
      0.2924,
      0.4379,
      0.2619,
      0.2367,
      0.5334,
      0.3851,
      0.2614,
      0.2569,
      0.3763,
      0.2343,
      0.1891,
      0.3676,
      0.2962,
      0.3572,
      0.5081,
      0.5808,
      0.3973,
      0.3701,
      0.4742,
      0.1353,
      0.1824,
      0.1431,
      0,
      0.1518,
      0.1564,
      0.2715,
      0.3993,
      0.3019,
      0.1165,
      0.5913,
      0.1874,
      0.1629,
      0.5367,
      0.2794,
      0.2861,
      0.1341,
      0.3779,
      0.1705,
      0.0648,
      0.3002,
      0.2506,
      0.1275,
      0.344,
      0.4674,
      0.2365,
      0.0989,
      0.5921,
      0.2357,
      0.0716,
      0.2668,
      0.204,
      0.1763,
      0.3626,
      0.416,
      0.2458,
      0.4905,
      0.1692,
      0.3195,
      0.3287,
      0.17,
      0.6221,
      0.481,
      0.1202,
      0.4722,
      0.2682,
      0.4369,
      0.3165,
      0.1964,
      0.5394,
      0.0555,
      0.2009,
      0.3409,
      0.3077,
      0.2272,
      0.6019,
      0.246,
      0.1936,
      0.5041,
      0.2737,
      0.1953,
      0.2927,
      0.3407,
      0.3129,
      0.4441,
      0.4467,
      0.2563,
      0.3448,
      0.3386,
      0.4426,
      0.1873,
      0.3706,
      0.5862,
      0.4237,
      0.2582,
      0.1248,
      0.3623,
      0.1014,
      0.2375,
      0.3545,
      0.3504,
      0.2877,
      0.3312,
      0.4505,
      0.3765,
      0.252,
      0.6302,
      0.222,
      0.2578,
      0.3651,
      0.2315,
      0.3922,
      0.2205,
      0.4039,
      0.539,
      0.4748,
      0.3341,
      0.4058,
      0.116,
      0.2265,
      0.5984,
      0.2332,
      0.2819,
      0.1147,
      0.3205,
      0.2403,
      0.1895,
      0.0819,
      0.2464,
      0.2806,
      0.1447,
      0.5013,
      0.3108,
      0.2328,
      0.6072,
      0.3704,
      0.2916,
      0.4028,
      0.2095,
      0.3431,
      0.1355,
      0,
      0.4413,
      0.504,
      0.2274,
      0.3863,
      0.3262,
      0,
      0.4755,
      0.1322,
      0.0494,
      0.4927,
      0.2356,
      0.3653,
      0.2732,
      0.3039,
      0.1952,
      0.1664,
      0.3147,
      0.3926,
      0.2763,
      0.2907,
      0.3596,
      0.268,
      0.2002,
      0.5315,
      0.3149,
      0.3895,
      0.2108,
      0.014,
      0.4312,
      0.0498,
      0,
      0.256,
      0.0298,
      0.0037,
      0.444,
      0.2995,
      0.0688,
      0.5798,
      0.2614,
      0.2327,
      0.2377,
      0.2808,
      0.118,
      0.2249,
      0.2452,
      0.0997,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1018,
      0.1328,
      0.3137,
      0.2266,
      0.163,
      0.2461,
      0.074,
      0.4363,
      0.0768,
      0.2703,
      0.3781,
      0.2273,
      0.3067,
      0.1274,
      0.203,
      0.1736,
      0.4521,
      0.251,
      0.3271,
      0.1749,
      0.1148,
      0.1853,
      0.1522,
      0.0898,
      0.2546,
      0.1826,
      0.2663,
      0.2692,
      0.0724,
      0.135,
      0.204,
      0.0085,
      0.2744,
      0.1519,
      0.1054,
      0.5089,
      0.0538,
      0.1698,
      0.3662,
      0.2463,
      0.1251,
      0.0048,
      0.387,
      0.2654,
      0.2027,
      0.0295,
      0.2331,
      0.0867,
      0.2321,
      0.5321,
      0.0479,
      0.473,
      0.5022,
      0.216,
      0.235,
      0.127,
      0.5289,
      0.3193,
      0.4229,
      0.2664,
      0.4705,
      0.2742,
      0.2719,
      0.4904,
      0.116,
      0,
      0.5329,
      0.057,
      0.0263,
      0.3702,
      0.2787,
      0.0071,
      0.3493,
      0.2708,
      0.3605,
      0.2056,
      0.2333,
      0.4954,
      0.3655,
      0.2218,
      0.5076,
      0.3965,
      0.2288,
      0.4418,
      0.339,
      0.3413,
      0,
      0.0998,
      0.2856,
      0.2986,
      0.2262,
      0.4214,
      0.2738,
      0.1434,
      0.4803,
      0.2141,
      0.0802,
      0.4218,
      0.432,
      0.3846,
      0.301,
      0.2857,
      0.2482,
      0.4042,
      0.3042,
      0.339,
      0.2906,
      0.1507,
      0.4358,
      0.1938,
      0.0538,
      0.5275,
      0.2409,
      0.2503,
      0.2497,
      0.37,
      0.1816,
      0.2532,
      0.2848,
      0.3623,
      0.3074,
      0.3456,
      0.4825,
      0.3908,
      0.3251,
      0.5019,
      0.1142,
      0.1503,
      0.1224,
      0.0261,
      0.1709,
      0.1471,
      0.2375,
      0.3754,
      0.2381,
      0.0903,
      0.5956,
      0.2105,
      0.1481,
      0.5129,
      0.3511,
      0.2813,
      0.1362,
      0.418,
      0.2084,
      0.2232,
      0.1331,
      0.2236,
      0.1272,
      0.2777,
      0.3875,
      0.1879,
      0.0768,
      0.5339,
      0.2537,
      0.0105,
      0.3449,
      0.2137,
      0.0385,
      0.2738,
      0.4047,
      0.0905,
      0.3261,
      0.1641,
      0.3291,
      0.2791,
      0.0802,
      0.4687,
      0.4648,
      0.1873,
      0.4154,
      0.2037,
      0.3803,
      0.2586,
      0.0911,
      0.356,
      0,
      0.1278,
      0.3042,
      0.273,
      0.2421,
      0.4895,
      0.2388,
      0.1812,
      0.5276,
      0.304,
      0.1949,
      0.3364,
      0.2989,
      0.2646,
      0.4676,
      0.4222,
      0.1559,
      0.2879,
      0.2899,
      0.4786,
      0.2459,
      0.4433,
      0.5716,
      0.3518,
      0.2281,
      0.1301,
      0.3467,
      0.2352,
      0.2075,
      0.3595,
      0.2882,
      0.2737,
      0.2592,
      0.47,
      0.3566,
      0.1539,
      0.5134,
      0.3101,
      0.1752,
      0.2503,
      0.2506,
      0.3182,
      0.2253,
      0.4912,
      0.4806,
      0.2955,
      0.3108,
      0.3838,
      0.1,
      0.0335,
      0.497,
      0.2818,
      0.2875,
      0.1435,
      0.3265,
      0.283,
      0.2648,
      0.1079,
      0.2199,
      0.2957,
      0.1318,
      0.4766,
      0.3111,
      0.2363,
      0.4481,
      0.2546,
      0.2706,
      0.4245,
      0.0752,
      0.2135,
      0.1123,
      0,
      0.3857,
      0.4373,
      0.3185,
      0.3852,
      0.2935,
      0,
      0.4556,
      0.1453,
      0.1828,
      0.5372,
      0.0934,
      0.3086,
      0.2216,
      0.2409,
      0.2027,
      0.0349,
      0.2422,
      0.4889,
      0.2407,
      0.2833,
      0.4847,
      0.2675,
      0.3392,
      0.5096,
      0.2697,
      0.2992,
      0,
      0.0885,
      0.3616,
      0.1039,
      0,
      0.3405,
      0.1568,
      0,
      0.4362,
      0.0869,
      0.0764,
      0.5215,
      0.2295,
      0.1131,
      0.2204,
      0.2184,
      0.0156,
      0.1153,
      0.1624,
      0.0944,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0763,
      0.2366,
      0.2614,
      0.313,
      0.1788,
      0.1172,
      0.2348,
      0.1288,
      0.2318,
      0.2555,
      0.3309,
      0.206,
      0.0705,
      0.0984,
      0.1661,
      0.4408,
      0.2215,
      0.1947,
      0.2221,
      0.1447,
      0.2068,
      0.1462,
      0.1278,
      0.2386,
      0.2642,
      0.1062,
      0.2264,
      0.1069,
      0.1605,
      0.2087,
      0.1058,
      0.2865,
      0.1597,
      0.0982,
      0.5779,
      0.0947,
      0.086,
      0.3287,
      0.3056,
      0.1365,
      0.182,
      0.2795,
      0.2896,
      0.2776,
      0.1587,
      0.2789,
      0.0937,
      0.2151,
      0.5747,
      0.1133,
      0.3685,
      0.4473,
      0.2305,
      0.1969,
      0.1228,
      0.4898,
      0.348,
      0.3385,
      0.3697,
      0.4451,
      0.3409,
      0.2065,
      0.511,
      0.0696,
      0.0141,
      0.459,
      0.1032,
      0.0188,
      0.4259,
      0.2928,
      0,
      0.4014,
      0.2547,
      0.4164,
      0.2019,
      0.2375,
      0.4381,
      0.2402,
      0.2276,
      0.5341,
      0.2286,
      0.1971,
      0.3732,
      0.4111,
      0.2166,
      0,
      0.1804,
      0.4235,
      0.1982,
      0.222,
      0.4123,
      0.3467,
      0.2491,
      0.5579,
      0.3954,
      0.3492,
      0.3657,
      0.4898,
      0.4302,
      0.2356,
      0.2457,
      0.3303,
      0.2938,
      0.1627,
      0.2535,
      0.2119,
      0.1138,
      0.4664,
      0.1524,
      0.0698,
      0.4651,
      0.1879,
      0.2611,
      0.2397,
      0.3575,
      0.2459,
      0.1533,
      0.2988,
      0.2882,
      0.2839,
      0.3492,
      0.467,
      0.2666,
      0.299,
      0.4427,
      0.0351,
      0.1315,
      0.0253,
      0.0218,
      0.2083,
      0.1191,
      0.1715,
      0.3219,
      0.2275,
      0,
      0.4071,
      0.0874,
      0.1048,
      0.5235,
      0.2871,
      0.124,
      0.1208,
      0.2664,
      0.3147,
      0.0132,
      0.256,
      0.2033,
      0.0499,
      0.2784,
      0.3544,
      0.1931,
      0.1648,
      0.5237,
      0.2417,
      0,
      0.2757,
      0.2507,
      0.0781,
      0.1778,
      0.3312,
      0.1359,
      0.3742,
      0.1123,
      0.2869,
      0.1986,
      0.0993,
      0.5645,
      0.422,
      0.1843,
      0.3852,
      0.2535,
      0.4358,
      0.4503,
      0.0934,
      0.2538,
      0.0524,
      0.1574,
      0.2593,
      0.245,
      0.3714,
      0.5061,
      0.3858,
      0.2937,
      0.4615,
      0.329,
      0.1833,
      0.3484,
      0.3113,
      0.2079,
      0.3593,
      0.4358,
      0.231,
      0.2597,
      0.4451,
      0.4929,
      0.423,
      0.5333,
      0.5142,
      0.2619,
      0.1415,
      0.1249,
      0.3582,
      0.1811,
      0.2257,
      0.2423,
      0.258,
      0.2302,
      0.2053,
      0.4872,
      0.1479,
      0.1219,
      0.5509,
      0.1702,
      0.1481,
      0.2846,
      0.3057,
      0.2955,
      0.1781,
      0.5487,
      0.3629,
      0.269,
      0.3471,
      0.3834,
      0.1919,
      0.0815,
      0.518,
      0.3244,
      0.05,
      0.0875,
      0.3742,
      0.2867,
      0.2377,
      0,
      0.1837,
      0.2632,
      0.1822,
      0.3139,
      0.3266,
      0.0815,
      0.5647,
      0.2534,
      0.2723,
      0.3948,
      0.1334,
      0.2138,
      0,
      0,
      0.3413,
      0.411,
      0.2264,
      0.321,
      0.2494,
      0,
      0.4905,
      0.0426,
      0.2277,
      0.4661,
      0.1971,
      0.1823,
      0.2334,
      0.2914,
      0.181,
      0.1022,
      0.1546,
      0.3375,
      0.2259,
      0.2285,
      0.4989,
      0.3261,
      0.3027,
      0.5375,
      0.2962,
      0.3588,
      0.0756,
      0.1583,
      0.3154,
      0.1694,
      0,
      0.3771,
      0.2269,
      0.1269,
      0.3972,
      0.0449,
      0.0524,
      0.5185,
      0.181,
      0.1719,
      0.208,
      0.2922,
      0.0534,
      0.1606,
      0.1988,
      0.1626,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0982,
      0.182,
      0.2475,
      0.3168,
      0.3711,
      0.2839,
      0.0629,
      0.1435,
      0.1449,
      0.115,
      0.2688,
      0.4882,
      0.2045,
      0.1058,
      0.0769,
      0.2042,
      0.4313,
      0.4584,
      0.0914,
      0.4447,
      0.2274,
      0.2299,
      0.1537,
      0.1977,
      0.2751,
      0.3858,
      0.0673,
      0.2115,
      0.2085,
      0.154,
      0.2278,
      0.1108,
      0.2924,
      0.1512,
      0.0083,
      0.5788,
      0.0916,
      0.0169,
      0.3526,
      0.3119,
      0.3327,
      0.3546,
      0.3055,
      0.3456,
      0.1928,
      0.3302,
      0.3429,
      0.1377,
      0.0697,
      0.6045,
      0.303,
      0.252,
      0.5276,
      0.5143,
      0.166,
      0.089,
      0.5698,
      0.4577,
      0.2766,
      0.4886,
      0.5906,
      0.4343,
      0.1694,
      0.5385,
      0.1448,
      0.1467,
      0.5055,
      0,
      0.0705,
      0.5735,
      0.322,
      0.0431,
      0.477,
      0.3664,
      0.3669,
      0.2035,
      0.2309,
      0.6611,
      0.2664,
      0.2363,
      0.6401,
      0.2684,
      0.3509,
      0.5281,
      0.3328,
      0.165,
      0.1666,
      0.1485,
      0.4741,
      0.3409,
      0.1845,
      0.5281,
      0.4852,
      0.2004,
      0.582,
      0.6145,
      0.5857,
      0.3856,
      0.556,
      0.464,
      0.4383,
      0.403,
      0.3674,
      0.3466,
      0.3526,
      0.2397,
      0.3365,
      0.2085,
      0.5228,
      0.2619,
      0.1563,
      0.4513,
      0.3966,
      0.2963,
      0.3309,
      0.4333,
      0.4937,
      0.2711,
      0.2401,
      0.3265,
      0.3472,
      0.3857,
      0.5164,
      0.24,
      0.3027,
      0.413,
      0,
      0.3245,
      0.1255,
      0.0767,
      0.1851,
      0.1147,
      0.2678,
      0.2502,
      0.3059,
      0,
      0.4162,
      0.2663,
      0.2846,
      0.5457,
      0.2667,
      0.297,
      0.2742,
      0.1598,
      0.1802,
      0.1936,
      0.1075,
      0.298,
      0.1887,
      0.2475,
      0.4706,
      0.2885,
      0.3032,
      0.5736,
      0.1886,
      0.0413,
      0.4247,
      0.2198,
      0.075,
      0.1793,
      0.3934,
      0.1397,
      0.4001,
      0.1259,
      0.4187,
      0.3404,
      0.0807,
      0.6851,
      0.3569,
      0.2752,
      0.4901,
      0.5322,
      0.5123,
      0.5102,
      0.1372,
      0.2804,
      0.0244,
      0.2887,
      0.2512,
      0.3305,
      0.369,
      0.5593,
      0.2823,
      0.3681,
      0.4519,
      0.3343,
      0.1905,
      0.383,
      0.4827,
      0.2786,
      0.4079,
      0.4917,
      0.189,
      0.3366,
      0.6381,
      0.6417,
      0.477,
      0.549,
      0.5035,
      0.3842,
      0.3949,
      0.1443,
      0.4003,
      0.3438,
      0.1525,
      0.1503,
      0.3387,
      0.2933,
      0.2394,
      0.4713,
      0.2629,
      0.1336,
      0.5704,
      0.1133,
      0.2605,
      0.2825,
      0.4883,
      0.3467,
      0.2278,
      0.425,
      0.3632,
      0.2768,
      0.3817,
      0.4852,
      0.2537,
      0.22,
      0.5542,
      0.267,
      0.2935,
      0.2964,
      0.3101,
      0.2141,
      0.2651,
      0.1297,
      0.1671,
      0.2228,
      0.1447,
      0.2865,
      0.3354,
      0.337,
      0.5941,
      0.3848,
      0.4486,
      0.3483,
      0.3023,
      0.3164,
      0.0663,
      0,
      0.4733,
      0.367,
      0.2315,
      0.3985,
      0.3189,
      0,
      0.5331,
      0.059,
      0.0022,
      0.4545,
      0.2478,
      0.3191,
      0.2222,
      0.2936,
      0.2527,
      0.1071,
      0.2454,
      0.3198,
      0.3187,
      0.3114,
      0.5083,
      0.3716,
      0.3124,
      0.5563,
      0.3479,
      0.3717,
      0.1766,
      0,
      0.3361,
      0.2523,
      0.164,
      0.3222,
      0.2267,
      0.1874,
      0.3607,
      0.0217,
      0.0644,
      0.5551,
      0.3404,
      0.1005,
      0.2017,
      0.3947,
      0.2489,
      0.1494,
      0.2113,
      0.1118,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1069,
      0.241,
      0.2728,
      0.2783,
      0.3836,
      0.3502,
      0.1201,
      0.2283,
      0.1862,
      0.1108,
      0.2726,
      0.3795,
      0.2291,
      0.155,
      0.0813,
      0.2294,
      0.5219,
      0.5255,
      0.2739,
      0.4203,
      0.2692,
      0.1476,
      0.1829,
      0.3147,
      0.342,
      0.2658,
      0.084,
      0.2691,
      0.3054,
      0.2181,
      0.2174,
      0.2165,
      0.2897,
      0.0901,
      0.0797,
      0.4619,
      0.0293,
      0.3122,
      0.3337,
      0.2949,
      0.2158,
      0.2403,
      0.2528,
      0.2969,
      0.2244,
      0.2736,
      0.2589,
      0.2129,
      0.0143,
      0.5219,
      0.1196,
      0.235,
      0.4777,
      0.3205,
      0.036,
      0.1518,
      0.4915,
      0.3797,
      0.2841,
      0.4195,
      0.3898,
      0.4699,
      0.1049,
      0.4978,
      0.1201,
      0.0066,
      0.4551,
      0.042,
      0,
      0.5217,
      0.3686,
      0.0757,
      0.4976,
      0.3794,
      0.422,
      0.2288,
      0.2299,
      0.4801,
      0.3141,
      0.2614,
      0.5267,
      0.4229,
      0.3665,
      0.4268,
      0.3802,
      0.227,
      0,
      0.2274,
      0.2697,
      0.3406,
      0.3068,
      0.6075,
      0.424,
      0.1473,
      0.5301,
      0.4808,
      0.2799,
      0.4174,
      0.2891,
      0.4336,
      0.2916,
      0.369,
      0.191,
      0.33,
      0.4053,
      0.217,
      0.4629,
      0.2857,
      0.4398,
      0.4159,
      0.2028,
      0.4293,
      0.1536,
      0.217,
      0.3105,
      0.4439,
      0.5231,
      0.1745,
      0.3127,
      0.3429,
      0.3901,
      0.345,
      0.4971,
      0.3453,
      0.2207,
      0.4145,
      0.083,
      0.2247,
      0.2646,
      0.1551,
      0.3061,
      0.1266,
      0.2696,
      0.2037,
      0.3408,
      0,
      0.4272,
      0.2201,
      0.2355,
      0.4606,
      0.2899,
      0.1916,
      0.1752,
      0.2435,
      0.1993,
      0.2857,
      0.2405,
      0.314,
      0.2386,
      0.2588,
      0.3527,
      0.288,
      0.235,
      0.5406,
      0.1973,
      0,
      0.2907,
      0.3083,
      0.0485,
      0.1952,
      0.4117,
      0.1282,
      0.4076,
      0.0935,
      0.3647,
      0.3706,
      0.1224,
      0.5615,
      0.2657,
      0.4206,
      0.526,
      0.4281,
      0.4637,
      0.445,
      0.129,
      0.2982,
      0.1283,
      0.2321,
      0.2536,
      0.3829,
      0.382,
      0.4725,
      0.3509,
      0.2654,
      0.4327,
      0.3406,
      0.1545,
      0.3562,
      0.3919,
      0.3572,
      0.3524,
      0.6158,
      0.2021,
      0.3803,
      0.562,
      0.4798,
      0.2534,
      0.4109,
      0.4849,
      0.3589,
      0.2802,
      0.0768,
      0.403,
      0.3721,
      0.17,
      0.1934,
      0.3955,
      0.3276,
      0.3747,
      0.4487,
      0.2541,
      0.228,
      0.47,
      0.2263,
      0.1603,
      0.4646,
      0.4303,
      0.3867,
      0.246,
      0.3638,
      0.3279,
      0.461,
      0.2872,
      0.3788,
      0.2193,
      0.1802,
      0.507,
      0.3122,
      0.1563,
      0.2382,
      0.2684,
      0.2028,
      0.3311,
      0.2603,
      0.043,
      0.3283,
      0.2052,
      0.3427,
      0.4099,
      0.281,
      0.4955,
      0.2871,
      0.3194,
      0.3507,
      0.169,
      0.3037,
      0.0068,
      0,
      0.3632,
      0.3656,
      0.2615,
      0.3737,
      0.3623,
      0,
      0.4371,
      0.2383,
      0.1998,
      0.4314,
      0.3946,
      0.2784,
      0.3778,
      0.0984,
      0.3818,
      0.0874,
      0.3272,
      0.3853,
      0.3664,
      0.4281,
      0.4741,
      0.316,
      0.366,
      0.477,
      0.3512,
      0.4409,
      0.0728,
      0.0582,
      0.2641,
      0.2357,
      0.1496,
      0.2738,
      0.094,
      0.0542,
      0.3874,
      0.0716,
      0.0548,
      0.4984,
      0.2877,
      0.1286,
      0.208,
      0.2659,
      0.2435,
      0.1788,
      0.209,
      0.085,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1425,
      0.2685,
      0.3066,
      0.3317,
      0.3231,
      0.2823,
      0.1812,
      0.2666,
      0.1733,
      0.2151,
      0.3069,
      0.3031,
      0.2127,
      0.1643,
      0.1757,
      0.2404,
      0.5476,
      0.5227,
      0.256,
      0.3717,
      0.2795,
      0.2003,
      0.2642,
      0.2937,
      0.4279,
      0.2744,
      0.1024,
      0.2337,
      0.0461,
      0.1991,
      0.3023,
      0.3599,
      0.2586,
      0.2215,
      0.2243,
      0.471,
      0.1218,
      0.2375,
      0.3074,
      0.3251,
      0.3231,
      0.1932,
      0.2781,
      0.301,
      0.2094,
      0.1244,
      0.1496,
      0.148,
      0,
      0.5392,
      0.0626,
      0.2768,
      0.4557,
      0.3259,
      0.2045,
      0.2493,
      0.4724,
      0.5027,
      0.386,
      0.2503,
      0.3789,
      0.4798,
      0.0521,
      0.4938,
      0.2171,
      0.2571,
      0.4217,
      0.1046,
      0,
      0.4422,
      0.4632,
      0.3646,
      0.5119,
      0.3867,
      0.3395,
      0.2275,
      0.2892,
      0.3745,
      0.3419,
      0.3348,
      0.5264,
      0.567,
      0.4867,
      0.4234,
      0.3191,
      0.4586,
      0,
      0.121,
      0.2279,
      0.2813,
      0.3527,
      0.6243,
      0.5974,
      0.1873,
      0.5516,
      0.2298,
      0.3286,
      0.4114,
      0.4003,
      0.463,
      0.3108,
      0.3221,
      0.2519,
      0.4159,
      0.3587,
      0.2668,
      0.4744,
      0.3608,
      0.4703,
      0.4755,
      0.249,
      0.4649,
      0.1644,
      0.2595,
      0.1953,
      0.4377,
      0.3784,
      0.1834,
      0.322,
      0.3343,
      0.3637,
      0.407,
      0.492,
      0.3576,
      0.339,
      0.4391,
      0.1287,
      0.1578,
      0.2167,
      0.0975,
      0.2797,
      0.0913,
      0.2898,
      0.1222,
      0.3334,
      0.1559,
      0.4151,
      0.1446,
      0.1145,
      0.5118,
      0.2535,
      0.2719,
      0.2547,
      0.2819,
      0.2601,
      0.1025,
      0.3492,
      0.3247,
      0.2158,
      0.2515,
      0.3967,
      0.5511,
      0.2223,
      0.5098,
      0.5599,
      0.2343,
      0.2702,
      0.3915,
      0.1108,
      0.1352,
      0.4526,
      0.0748,
      0.3652,
      0.1191,
      0.3821,
      0.3656,
      0.2333,
      0.5341,
      0.341,
      0.5041,
      0.4089,
      0.3594,
      0.4035,
      0.3805,
      0.1382,
      0.2965,
      0.4442,
      0.1595,
      0.232,
      0.3646,
      0.5569,
      0.4583,
      0.5583,
      0.2502,
      0.589,
      0.477,
      0.275,
      0.3305,
      0.2164,
      0.4952,
      0.5364,
      0.6282,
      0.3614,
      0.3858,
      0.4091,
      0.5004,
      0.2736,
      0.3285,
      0.4286,
      0.3965,
      0.2752,
      0.1503,
      0.4221,
      0.4628,
      0.1942,
      0.2022,
      0.3739,
      0.3453,
      0.3881,
      0.4169,
      0.3252,
      0.3994,
      0.462,
      0.1015,
      0.2457,
      0.553,
      0.4739,
      0.5558,
      0.2765,
      0.4062,
      0.4627,
      0.4684,
      0.3174,
      0.4098,
      0.2187,
      0.0377,
      0.4658,
      0.262,
      0.2597,
      0.234,
      0.1925,
      0.2552,
      0.2953,
      0.3307,
      0.1116,
      0.2694,
      0.3099,
      0.3863,
      0.3319,
      0.3236,
      0.4912,
      0.1709,
      0.3927,
      0.3524,
      0.1067,
      0.2182,
      0.0779,
      0,
      0.2618,
      0.2991,
      0.239,
      0.2626,
      0.3919,
      0.0454,
      0.4645,
      0.3679,
      0.1107,
      0.4694,
      0.4819,
      0.2136,
      0.4537,
      0.3051,
      0.4913,
      0.1652,
      0.2211,
      0.4124,
      0.3744,
      0.3689,
      0.5033,
      0.4169,
      0.3169,
      0.4901,
      0.403,
      0.4878,
      0.0734,
      0.086,
      0.2552,
      0.1667,
      0.1647,
      0.2853,
      0.136,
      0.0726,
      0.3374,
      0.182,
      0.1003,
      0.487,
      0.3847,
      0.1634,
      0.1912,
      0.2612,
      0.1054,
      0.1372,
      0.2632,
      0.1047,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1104,
      0.2487,
      0.3381,
      0.303,
      0.5686,
      0.3174,
      0.2369,
      0.2356,
      0.1068,
      0.3178,
      0.3894,
      0.2303,
      0.2677,
      0.3376,
      0.1902,
      0.2985,
      0.427,
      0.4292,
      0.2863,
      0.2749,
      0.2875,
      0.2954,
      0.2587,
      0.2918,
      0.6037,
      0.3082,
      0.1702,
      0.2901,
      0.0831,
      0.1795,
      0.3147,
      0.2858,
      0.224,
      0.2435,
      0.2535,
      0.5134,
      0.1065,
      0.0697,
      0.3603,
      0.2079,
      0.2222,
      0.3009,
      0.3656,
      0.3513,
      0.3085,
      0.1132,
      0.3593,
      0.2806,
      0.0382,
      0.5918,
      0.1279,
      0.3992,
      0.4661,
      0.3969,
      0.2074,
      0.2171,
      0.4919,
      0.4704,
      0.3545,
      0.3231,
      0.4102,
      0.3932,
      0.1978,
      0.5712,
      0.2381,
      0.1426,
      0.5505,
      0.355,
      0,
      0.4876,
      0.5627,
      0.3071,
      0.5087,
      0.4006,
      0.3434,
      0.4187,
      0.3854,
      0.3,
      0.4076,
      0.5138,
      0.5132,
      0.5374,
      0.5585,
      0.5233,
      0.3327,
      0.3877,
      0,
      0.1534,
      0.6128,
      0.2941,
      0.3644,
      0.5378,
      0.4735,
      0.4214,
      0.6428,
      0.3703,
      0.3315,
      0.3541,
      0.4652,
      0.4885,
      0.2823,
      0.3146,
      0.0762,
      0.4768,
      0.3907,
      0.3741,
      0.4051,
      0.3766,
      0.4404,
      0.3592,
      0.3331,
      0.4693,
      0.1749,
      0.3677,
      0.2509,
      0.4507,
      0.562,
      0.1714,
      0.4517,
      0.3401,
      0.3819,
      0.3555,
      0.5585,
      0.419,
      0.3647,
      0.465,
      0.1787,
      0.1422,
      0.2405,
      0.1579,
      0.24,
      0.173,
      0.226,
      0.2079,
      0.3132,
      0.1699,
      0.4642,
      0.2468,
      0.2061,
      0.531,
      0.3696,
      0.306,
      0.2436,
      0.3066,
      0.3186,
      0.0963,
      0.3392,
      0.3565,
      0.2223,
      0.2098,
      0.5,
      0.4679,
      0.233,
      0.5409,
      0.5564,
      0.2185,
      0.1689,
      0.4095,
      0.1552,
      0.2681,
      0.3742,
      0.1938,
      0.5785,
      0.1018,
      0.2838,
      0.3324,
      0.298,
      0.5866,
      0.3432,
      0.4525,
      0.631,
      0.2748,
      0.4317,
      0.5787,
      0.0882,
      0.5765,
      0.4449,
      0.2202,
      0.5564,
      0.3173,
      0.4642,
      0.4616,
      0.4756,
      0.2278,
      0.5375,
      0.396,
      0.2856,
      0.4927,
      0.5011,
      0.3325,
      0.5242,
      0.5718,
      0.3521,
      0.3467,
      0.5177,
      0.4576,
      0.2593,
      0.2296,
      0.598,
      0.4459,
      0.2652,
      0.11,
      0.4186,
      0.5915,
      0.2645,
      0.3389,
      0.4021,
      0.337,
      0.4498,
      0.4307,
      0.4097,
      0.4764,
      0.5551,
      0.1353,
      0.3072,
      0.6032,
      0.4218,
      0.4445,
      0.1701,
      0.3893,
      0.4534,
      0.4127,
      0.3423,
      0.5161,
      0.3192,
      0.2388,
      0.4817,
      0.2938,
      0.2185,
      0.2555,
      0.2136,
      0.3583,
      0.2607,
      0.2518,
      0.3153,
      0.2617,
      0.3206,
      0.3856,
      0.3405,
      0.2419,
      0.5701,
      0.2255,
      0.3978,
      0.3922,
      0.1022,
      0.3658,
      0.309,
      0,
      0.3639,
      0.3337,
      0.2637,
      0.1612,
      0.3555,
      0.0224,
      0.4534,
      0.4106,
      0.1914,
      0.5158,
      0.3002,
      0.2593,
      0.404,
      0.3125,
      0.5635,
      0.2066,
      0.336,
      0.4455,
      0.3823,
      0.3821,
      0.4761,
      0.3043,
      0.3415,
      0.5882,
      0.4007,
      0.5563,
      0.3247,
      0.1973,
      0.4826,
      0.0945,
      0.095,
      0.3615,
      0.2574,
      0.1766,
      0.3778,
      0.4507,
      0.1715,
      0.5242,
      0.3937,
      0.1617,
      0.1956,
      0.3288,
      0.1312,
      0.1841,
      0.3352,
      0.1946,
      0,
      0.0113,
      0,
      0,
      0,
      0,
      0.1027,
      0.2226,
      0.2577,
      0.2251,
      0.5533,
      0.2562,
      0.3232,
      0.4523,
      0.1432,
      0.2735,
      0.5149,
      0.2323,
      0.3379,
      0.1955,
      0.0847,
      0.3183,
      0.4404,
      0.4817,
      0.3042,
      0.2277,
      0.288,
      0.3516,
      0.1942,
      0.2602,
      0.5122,
      0.2395,
      0.296,
      0.2303,
      0.1295,
      0.1635,
      0.243,
      0.0392,
      0.3785,
      0.2223,
      0.1681,
      0.5548,
      0.173,
      0.1628,
      0.335,
      0.3262,
      0.2308,
      0.106,
      0.3512,
      0.2837,
      0.306,
      0.2081,
      0.3233,
      0.3091,
      0.0403,
      0.6256,
      0.0846,
      0.4257,
      0.5001,
      0.312,
      0.1343,
      0.1283,
      0.4862,
      0.4801,
      0.2971,
      0.265,
      0.4768,
      0.3554,
      0.2748,
      0.5355,
      0.2063,
      0,
      0.5052,
      0.3148,
      0,
      0.5073,
      0.4264,
      0.1751,
      0.3776,
      0.3915,
      0.4523,
      0.479,
      0.3591,
      0.3973,
      0.4815,
      0.4769,
      0.5647,
      0.4011,
      0.5687,
      0.5051,
      0.3191,
      0.4233,
      0,
      0.1167,
      0.5713,
      0.2415,
      0.3684,
      0.2785,
      0.3299,
      0.4047,
      0.6298,
      0.3296,
      0.2556,
      0.4421,
      0.4585,
      0.432,
      0.2419,
      0.3541,
      0.292,
      0.4301,
      0.4083,
      0.2882,
      0.3794,
      0.3018,
      0.4766,
      0.2755,
      0.2187,
      0.5217,
      0.2676,
      0.2731,
      0.1652,
      0.4078,
      0.4598,
      0.2433,
      0.4057,
      0.4192,
      0.4025,
      0.3858,
      0.6311,
      0.3803,
      0.3731,
      0.4953,
      0.1748,
      0.1891,
      0.1684,
      0.1867,
      0.2233,
      0.1759,
      0.3087,
      0.2773,
      0.3731,
      0.1652,
      0.4111,
      0.2009,
      0.2922,
      0.5454,
      0.1855,
      0.315,
      0.0759,
      0.2489,
      0.3086,
      0.0027,
      0.1591,
      0.371,
      0.256,
      0.3415,
      0.4862,
      0.3206,
      0.0438,
      0.5642,
      0.2029,
      0.1745,
      0.2137,
      0.2464,
      0.0751,
      0.2722,
      0.4029,
      0.1598,
      0.5514,
      0.0856,
      0.3581,
      0.3946,
      0.3044,
      0.6234,
      0.4201,
      0.1865,
      0.584,
      0.2856,
      0.3591,
      0.5127,
      0.1803,
      0.5273,
      0.2463,
      0.1186,
      0.5158,
      0.396,
      0.2297,
      0.4654,
      0.4208,
      0.1991,
      0.5293,
      0.2174,
      0.1876,
      0.3975,
      0.4274,
      0.2602,
      0.3459,
      0.4001,
      0.1528,
      0.4177,
      0.5691,
      0.5275,
      0.3292,
      0.2671,
      0.5522,
      0.4049,
      0.2556,
      0.0921,
      0.4217,
      0.493,
      0.2559,
      0.3937,
      0.4134,
      0.3602,
      0.4869,
      0.4189,
      0.4314,
      0.2812,
      0.5729,
      0.097,
      0.2996,
      0.5237,
      0.3911,
      0.4556,
      0.1765,
      0.42,
      0.4337,
      0.5168,
      0.3507,
      0.4473,
      0.1868,
      0.2327,
      0.5007,
      0.2488,
      0.3019,
      0.124,
      0.2961,
      0.2774,
      0.2354,
      0.0457,
      0.2681,
      0.3122,
      0.1542,
      0.3752,
      0.2567,
      0.3554,
      0.6128,
      0.1785,
      0.309,
      0.3889,
      0.1288,
      0.2622,
      0.2906,
      0,
      0.3919,
      0.3546,
      0.3441,
      0.2363,
      0.3932,
      0,
      0.4448,
      0.3165,
      0.2734,
      0.5413,
      0.2406,
      0.153,
      0.2988,
      0.339,
      0.3695,
      0.2017,
      0.4281,
      0.48,
      0.3455,
      0.4709,
      0.5301,
      0.3193,
      0.4315,
      0.5358,
      0.3364,
      0.3485,
      0.3025,
      0.1591,
      0.4251,
      0.2315,
      0.0867,
      0.3364,
      0.2208,
      0.1666,
      0.4292,
      0.3277,
      0.1163,
      0.5617,
      0.2976,
      0.1898,
      0.2167,
      0.3667,
      0.2585,
      0.0547,
      0.2603,
      0.162,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1382,
      0.2539,
      0.3277,
      0.2968,
      0.3237,
      0.3086,
      0.1733,
      0.606,
      0.1228,
      0.2285,
      0.5324,
      0.3304,
      0.4101,
      0.1738,
      0.1988,
      0.3104,
      0.4289,
      0.4677,
      0.2114,
      0.2064,
      0.1903,
      0.2816,
      0.2402,
      0.1691,
      0.5124,
      0.1777,
      0.259,
      0.3095,
      0.18,
      0.1299,
      0.3106,
      0.1071,
      0.3939,
      0.2285,
      0.1019,
      0.5176,
      0.1029,
      0.2104,
      0.3173,
      0.3424,
      0.1156,
      0.1873,
      0.4236,
      0.2251,
      0.1624,
      0.3776,
      0.1865,
      0.0896,
      0.0704,
      0.5723,
      0.0869,
      0.4875,
      0.4419,
      0.2621,
      0.2144,
      0.0541,
      0.5018,
      0.288,
      0.2974,
      0.2816,
      0.5501,
      0.3964,
      0.2559,
      0.4468,
      0.1333,
      0,
      0.5177,
      0.0997,
      0.0143,
      0.3021,
      0.3872,
      0.0176,
      0.4008,
      0.3401,
      0.3874,
      0.2869,
      0.3026,
      0.3388,
      0.3652,
      0.3569,
      0.5498,
      0.3036,
      0.384,
      0.4696,
      0.3167,
      0.2704,
      0,
      0.1483,
      0.4195,
      0.3093,
      0.2551,
      0.3165,
      0.2783,
      0.1724,
      0.5878,
      0.4386,
      0.527,
      0.4557,
      0.4104,
      0.4093,
      0.3549,
      0.3736,
      0.3273,
      0.4076,
      0.4083,
      0.2254,
      0.3806,
      0.2446,
      0.4385,
      0.2954,
      0.2132,
      0.6098,
      0.1454,
      0.2985,
      0.3565,
      0.4056,
      0.3208,
      0.2903,
      0.4526,
      0.3809,
      0.4216,
      0.416,
      0.5044,
      0.4531,
      0.4093,
      0.4319,
      0.1428,
      0.1613,
      0.172,
      0.0982,
      0.1851,
      0.184,
      0.2895,
      0.2402,
      0.4036,
      0.1633,
      0.4779,
      0.204,
      0.2103,
      0.5172,
      0.2039,
      0.3324,
      0.1921,
      0.2873,
      0.2214,
      0.1264,
      0.107,
      0.3843,
      0.2861,
      0.2544,
      0.3111,
      0.2418,
      0,
      0.5571,
      0.1609,
      0.112,
      0.2282,
      0.3133,
      0.0734,
      0.2983,
      0.4223,
      0.0875,
      0.3506,
      0.1287,
      0.2607,
      0.3644,
      0.1565,
      0.5445,
      0.481,
      0.1205,
      0.3845,
      0.2295,
      0.3179,
      0.4014,
      0.1162,
      0.356,
      0.028,
      0.1188,
      0.2474,
      0.387,
      0.249,
      0.4509,
      0.3013,
      0.1788,
      0.4825,
      0.0822,
      0.1425,
      0.3195,
      0.4365,
      0.2777,
      0.3065,
      0.4335,
      0.2161,
      0.4168,
      0.3983,
      0.5442,
      0.541,
      0.3812,
      0.5119,
      0.3428,
      0.2401,
      0.021,
      0.3715,
      0.3092,
      0.2298,
      0.4042,
      0.4123,
      0.3856,
      0.4182,
      0.4491,
      0.4248,
      0.2615,
      0.5409,
      0.2429,
      0.3205,
      0.34,
      0.2924,
      0.3798,
      0.1787,
      0.4114,
      0.3752,
      0.4475,
      0.3893,
      0.4213,
      0.2331,
      0.1827,
      0.539,
      0.2376,
      0.321,
      0.1231,
      0.2169,
      0.1928,
      0.2557,
      0.0829,
      0.135,
      0.3016,
      0.0929,
      0.42,
      0.3164,
      0.3503,
      0.5639,
      0.2207,
      0.3965,
      0.3585,
      0.3576,
      0.0793,
      0,
      0,
      0.3805,
      0.3848,
      0.2997,
      0.3064,
      0.4102,
      0.1245,
      0.4771,
      0.232,
      0.2268,
      0.4673,
      0.2684,
      0.3288,
      0.3094,
      0.2181,
      0.3217,
      0.1494,
      0.5145,
      0.4538,
      0.4025,
      0.4567,
      0.509,
      0.3856,
      0.4035,
      0.5272,
      0.2864,
      0.4257,
      0.2022,
      0.1675,
      0.4695,
      0.2885,
      0.0907,
      0.384,
      0.2096,
      0.062,
      0.3855,
      0.0939,
      0.1033,
      0.5453,
      0.2985,
      0.2271,
      0.2094,
      0.3275,
      0.2428,
      0.1272,
      0.1524,
      0.1851,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0985,
      0.2854,
      0.2882,
      0.3054,
      0.3824,
      0.2913,
      0.1672,
      0.3067,
      0.1158,
      0.1496,
      0.316,
      0.3341,
      0.4106,
      0.162,
      0.1278,
      0.3248,
      0.3684,
      0.4599,
      0.2254,
      0.2294,
      0.0556,
      0.2616,
      0.252,
      0.1208,
      0.3167,
      0.1271,
      0.1909,
      0.2761,
      0.2306,
      0.1214,
      0.2574,
      0.1247,
      0.3304,
      0.2028,
      0.1067,
      0.5271,
      0.0263,
      0.1122,
      0.331,
      0.147,
      0.2498,
      0.1789,
      0.22,
      0.379,
      0.2174,
      0.1804,
      0.1954,
      0.1359,
      0.0821,
      0.6345,
      0.1049,
      0.461,
      0.4896,
      0.3049,
      0.1541,
      0.0975,
      0.4759,
      0.3249,
      0.1513,
      0.3165,
      0.4976,
      0.4254,
      0.1926,
      0.5074,
      0.1225,
      0,
      0.5172,
      0,
      0,
      0.3312,
      0.4156,
      0.0137,
      0.4085,
      0.4728,
      0.4456,
      0.3044,
      0.2823,
      0.4534,
      0.2775,
      0.3005,
      0.5438,
      0.4486,
      0.352,
      0.5297,
      0.2309,
      0.1825,
      0,
      0.0924,
      0.2193,
      0.2539,
      0.2587,
      0.3442,
      0.2229,
      0.1087,
      0.6379,
      0.5416,
      0.335,
      0.4524,
      0.3288,
      0.4633,
      0.3082,
      0.3905,
      0.225,
      0.3123,
      0.4614,
      0.2264,
      0.4841,
      0.1463,
      0.4683,
      0.2378,
      0.1928,
      0.4966,
      0.1886,
      0.318,
      0.3333,
      0.5128,
      0.3607,
      0.2962,
      0.3879,
      0.4759,
      0.4841,
      0.3892,
      0.5521,
      0.4282,
      0.4362,
      0.4886,
      0.0732,
      0.1491,
      0.1816,
      0.0941,
      0.1897,
      0.1795,
      0.4201,
      0.2812,
      0.4099,
      0.0699,
      0.4973,
      0.2311,
      0.2107,
      0.5221,
      0.2341,
      0.3314,
      0.1927,
      0.2912,
      0.1636,
      0.3189,
      0.159,
      0.3874,
      0.3115,
      0.2336,
      0.3636,
      0.4085,
      0.0039,
      0.5249,
      0.1965,
      0.0258,
      0.2675,
      0.3517,
      0.0609,
      0.1756,
      0.4487,
      0.021,
      0.4318,
      0.1783,
      0.3866,
      0.4824,
      0.1652,
      0.5762,
      0.4784,
      0.2506,
      0.5208,
      0.2219,
      0.3511,
      0.4894,
      0.0302,
      0.3213,
      0.0768,
      0.0789,
      0.4224,
      0.4797,
      0.1819,
      0.5132,
      0.3247,
      0.1652,
      0.4979,
      0.2044,
      0.1492,
      0.3687,
      0.383,
      0.2424,
      0.3165,
      0.4226,
      0.2045,
      0.4713,
      0.3908,
      0.5498,
      0.3045,
      0.3107,
      0.5251,
      0.2915,
      0.3079,
      0.1128,
      0.441,
      0.3552,
      0.211,
      0.353,
      0.4712,
      0.3858,
      0.2836,
      0.3773,
      0.2996,
      0.2942,
      0.5513,
      0.1896,
      0.2632,
      0.3758,
      0.4276,
      0.3267,
      0.1676,
      0.5264,
      0.3385,
      0.367,
      0.3156,
      0.4823,
      0.208,
      0.1394,
      0.5603,
      0.2276,
      0.3102,
      0.209,
      0.2109,
      0.1236,
      0.3192,
      0.0988,
      0.2211,
      0.3404,
      0.0563,
      0.3595,
      0.3297,
      0.4203,
      0.5922,
      0.3913,
      0.2536,
      0.3979,
      0.3061,
      0.2997,
      0.1794,
      0,
      0.4504,
      0.283,
      0.3201,
      0.3199,
      0.4529,
      0.0466,
      0.4995,
      0.239,
      0.1798,
      0.5316,
      0.3815,
      0.2665,
      0.2198,
      0.1538,
      0.2433,
      0.1431,
      0.4721,
      0.4489,
      0.4013,
      0.3356,
      0.5523,
      0.3681,
      0.3679,
      0.5743,
      0.3582,
      0.4331,
      0.2694,
      0.1629,
      0.3356,
      0.2878,
      0.1477,
      0.4113,
      0.3053,
      0.1028,
      0.373,
      0.1193,
      0.1356,
      0.5546,
      0.291,
      0.1538,
      0.216,
      0.3674,
      0.1917,
      0.1628,
      0.2083,
      0.1096,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0925,
      0.2148,
      0.3374,
      0.3117,
      0.3698,
      0.3279,
      0.1329,
      0.2408,
      0.1131,
      0.0925,
      0.2842,
      0.2883,
      0.2397,
      0.1007,
      0.1802,
      0.2612,
      0.3468,
      0.449,
      0.2114,
      0.4569,
      0.192,
      0.2251,
      0.2403,
      0.2078,
      0.3383,
      0.0684,
      0.1763,
      0.2765,
      0.093,
      0.1825,
      0.2665,
      0.1585,
      0.3025,
      0.1995,
      0.0929,
      0.5243,
      0.1241,
      0.0571,
      0.3405,
      0.3423,
      0.4718,
      0.282,
      0.2688,
      0.3222,
      0.2521,
      0.2995,
      0.3063,
      0.1585,
      0.1914,
      0.565,
      0.0486,
      0.2966,
      0.4706,
      0.5627,
      0.1326,
      0.1085,
      0.3726,
      0.2125,
      0.2352,
      0.3386,
      0.5382,
      0.4098,
      0,
      0.3923,
      0.1788,
      0.0181,
      0.4926,
      0,
      0,
      0.4058,
      0.3588,
      0.0481,
      0.4214,
      0.5065,
      0.3345,
      0.2786,
      0.3322,
      0.4012,
      0.2976,
      0.3118,
      0.5415,
      0.2029,
      0.3974,
      0.4988,
      0.3415,
      0.2886,
      0,
      0.2229,
      0.2475,
      0.2384,
      0.2559,
      0.3359,
      0.3788,
      0.1648,
      0.5372,
      0.3062,
      0.2787,
      0.4541,
      0.3685,
      0.4765,
      0.2938,
      0.351,
      0.3092,
      0.3786,
      0.4826,
      0.1778,
      0.4956,
      0.2029,
      0.4101,
      0.2638,
      0.1744,
      0.4728,
      0.1229,
      0.2712,
      0.2629,
      0.3279,
      0.4569,
      0.2935,
      0.2895,
      0.4926,
      0.4853,
      0.346,
      0.4022,
      0.3219,
      0.2809,
      0.4694,
      0.0154,
      0.0578,
      0.249,
      0.0881,
      0.1954,
      0.2102,
      0.4431,
      0.3102,
      0.4041,
      0,
      0.3791,
      0.2056,
      0.2764,
      0.4889,
      0.2335,
      0.253,
      0.3484,
      0.3569,
      0.2403,
      0.2778,
      0.2124,
      0.3741,
      0.2918,
      0.3136,
      0.3802,
      0.4364,
      0.0573,
      0.5524,
      0.1535,
      0,
      0.3313,
      0.3479,
      0.1163,
      0.2733,
      0.467,
      0.1227,
      0.4716,
      0.0901,
      0.3356,
      0.5048,
      0.1183,
      0.4898,
      0.3714,
      0.322,
      0.5249,
      0.2028,
      0.2644,
      0.4751,
      0.1736,
      0.2742,
      0.1079,
      0.1582,
      0.4383,
      0.5049,
      0.354,
      0.4853,
      0.4287,
      0.1625,
      0.5089,
      0.1437,
      0.2098,
      0.2161,
      0.3323,
      0.2317,
      0.3817,
      0.5118,
      0.2013,
      0.4818,
      0.5961,
      0.4501,
      0.2446,
      0.2581,
      0.5728,
      0.2446,
      0.3061,
      0.1343,
      0.4087,
      0.3501,
      0.1956,
      0.2494,
      0.4827,
      0.3993,
      0.3099,
      0.3078,
      0.2762,
      0.1889,
      0.5303,
      0.1076,
      0.2788,
      0.4391,
      0.4483,
      0.2854,
      0.2116,
      0.454,
      0.4427,
      0.3435,
      0.3965,
      0.3924,
      0.1935,
      0.2956,
      0.4844,
      0.2277,
      0.1699,
      0.3557,
      0.2802,
      0.2437,
      0.2851,
      0.263,
      0.2196,
      0.3645,
      0.0465,
      0.4001,
      0.2697,
      0.4151,
      0.5534,
      0.4351,
      0.2976,
      0.3986,
      0.233,
      0.3071,
      0.0738,
      0,
      0.3414,
      0.2313,
      0.3403,
      0.3272,
      0.4701,
      0,
      0.4513,
      0.2209,
      0.1617,
      0.5102,
      0.3421,
      0.2604,
      0.393,
      0.3407,
      0.2905,
      0.1624,
      0.2651,
      0.4805,
      0.3795,
      0.3384,
      0.4644,
      0.3499,
      0.2922,
      0.4959,
      0.3308,
      0.3594,
      0.084,
      0.0813,
      0.3562,
      0.2194,
      0.0966,
      0.3088,
      0.2163,
      0.1397,
      0.3756,
      0.0998,
      0.0203,
      0.5114,
      0.2811,
      0.0844,
      0.2135,
      0.4382,
      0.1872,
      0.166,
      0.2716,
      0.2018,
      0,
      0,
      0,
      0,
      0,
      0,
      0.076,
      0.1778,
      0.2043,
      0.3786,
      0.3883,
      0.3338,
      0.1942,
      0.2446,
      0.1341,
      0.0869,
      0.3233,
      0.4093,
      0.3266,
      0.2097,
      0.169,
      0.2988,
      0.4704,
      0.5129,
      0.2184,
      0.397,
      0.2892,
      0.2398,
      0.2463,
      0.3085,
      0.2981,
      0.2842,
      0.1119,
      0.2042,
      0.0618,
      0.1988,
      0.2968,
      0.2303,
      0.2843,
      0.2617,
      0.0791,
      0.583,
      0.0909,
      0.1638,
      0.3417,
      0.2322,
      0.1764,
      0.3063,
      0.2184,
      0.3082,
      0.3115,
      0.274,
      0.1345,
      0.0836,
      0.1423,
      0.5766,
      0.0667,
      0.3029,
      0.4784,
      0.32,
      0.2201,
      0.0901,
      0.3485,
      0.4197,
      0.2517,
      0.3415,
      0.4675,
      0.3485,
      0,
      0.3844,
      0.1489,
      0,
      0.5079,
      0.0349,
      0.0128,
      0.508,
      0.3857,
      0.0592,
      0.4521,
      0.4471,
      0.3522,
      0.2294,
      0.3301,
      0.4152,
      0.3536,
      0.3713,
      0.5844,
      0.3036,
      0.4255,
      0.4265,
      0.3738,
      0.2628,
      0,
      0.1676,
      0.168,
      0.3277,
      0.2863,
      0.4898,
      0.426,
      0.1369,
      0.584,
      0.1937,
      0.3423,
      0.4263,
      0.3625,
      0.5034,
      0.3257,
      0.2464,
      0.2523,
      0.3805,
      0.3955,
      0.1555,
      0.4416,
      0.2578,
      0.4769,
      0.4488,
      0.2539,
      0.4882,
      0.0875,
      0.2772,
      0.2297,
      0.3476,
      0.4007,
      0.2589,
      0.2574,
      0.4296,
      0.4151,
      0.3123,
      0.4529,
      0.3789,
      0.2846,
      0.4656,
      0.1299,
      0.1343,
      0.1491,
      0.1371,
      0.3112,
      0.1872,
      0.3706,
      0.2717,
      0.2816,
      0.0119,
      0.3784,
      0.2537,
      0.198,
      0.5325,
      0.235,
      0.1673,
      0.1666,
      0.2817,
      0.4289,
      0.0591,
      0.2397,
      0.2737,
      0.2063,
      0.2979,
      0.3983,
      0.3713,
      0.1358,
      0.5709,
      0.1344,
      0,
      0.2659,
      0.2759,
      0.0999,
      0.2134,
      0.3871,
      0.0224,
      0.4836,
      0.1291,
      0.3084,
      0.437,
      0.1293,
      0.5729,
      0.4141,
      0.352,
      0.4058,
      0.2235,
      0.3402,
      0.4532,
      0.0741,
      0.2574,
      0.1798,
      0.1525,
      0.3888,
      0.4428,
      0.4716,
      0.5344,
      0.4771,
      0.1033,
      0.4652,
      0.1946,
      0.1809,
      0.255,
      0.3419,
      0.2545,
      0.3678,
      0.5031,
      0.1354,
      0.3904,
      0.3698,
      0.4984,
      0.2853,
      0.1849,
      0.5355,
      0.2533,
      0.2569,
      0.1691,
      0.3627,
      0.3615,
      0.206,
      0.2198,
      0.3795,
      0.2789,
      0.2973,
      0.3694,
      0.1891,
      0.2759,
      0.5679,
      0.2557,
      0.1864,
      0.4864,
      0.4162,
      0.2734,
      0.2292,
      0.5338,
      0.4454,
      0.5101,
      0.4139,
      0.363,
      0.32,
      0.0891,
      0.5573,
      0.2484,
      0.1659,
      0.1502,
      0.3591,
      0.3521,
      0.3277,
      0.1484,
      0.1549,
      0.3336,
      0.1102,
      0.234,
      0.3254,
      0.1978,
      0.5596,
      0.3859,
      0.2809,
      0.4018,
      0.1374,
      0.1851,
      0,
      0,
      0.4327,
      0.212,
      0.2828,
      0.2754,
      0.3737,
      0.1069,
      0.5023,
      0.1833,
      0.1814,
      0.4802,
      0.3492,
      0.3004,
      0.4388,
      0.3089,
      0.3453,
      0.1025,
      0.2105,
      0.4037,
      0.2555,
      0.3256,
      0.5156,
      0.3854,
      0.3034,
      0.5724,
      0.3425,
      0.4179,
      0.1318,
      0.1189,
      0.3096,
      0.0542,
      0.0897,
      0.3086,
      0.1916,
      0.1746,
      0.3105,
      0.0896,
      0.0286,
      0.5353,
      0.3608,
      0.1283,
      0.2049,
      0.2822,
      0.2201,
      0.1232,
      0.2732,
      0.1045,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0989,
      0.2723,
      0.3112,
      0.3406,
      0.3502,
      0.2402,
      0.1869,
      0.2801,
      0.222,
      0.2604,
      0.2545,
      0.5329,
      0.2464,
      0.1914,
      0.2272,
      0.3598,
      0.392,
      0.4105,
      0.2519,
      0.4189,
      0.3588,
      0.2202,
      0.2082,
      0.3624,
      0.4331,
      0.3643,
      0.1046,
      0.2056,
      0.0566,
      0.145,
      0.3178,
      0.2456,
      0.3051,
      0.2036,
      0.1616,
      0.4721,
      0.003,
      0.3236,
      0.3463,
      0.1515,
      0.3545,
      0.1657,
      0.219,
      0.3275,
      0.1879,
      0.0942,
      0.2175,
      0.1433,
      0.0303,
      0.5251,
      0.1713,
      0.2898,
      0.5902,
      0.2792,
      0.2843,
      0.1285,
      0.5055,
      0.4591,
      0.2444,
      0.5236,
      0.5949,
      0.3866,
      0,
      0.4012,
      0.1856,
      0.1007,
      0.4986,
      0,
      0.2176,
      0.6401,
      0.4662,
      0.0758,
      0.5343,
      0.4174,
      0.3536,
      0.3066,
      0.2654,
      0.6442,
      0.4202,
      0.4585,
      0.6259,
      0.3825,
      0.5199,
      0.4919,
      0.2974,
      0.1771,
      0.0705,
      0.1159,
      0.3377,
      0.3341,
      0.3532,
      0.3215,
      0.352,
      0.1902,
      0.4993,
      0.1817,
      0.2484,
      0.4705,
      0.3246,
      0.5224,
      0.326,
      0.3362,
      0.2211,
      0.312,
      0.351,
      0.0994,
      0.5278,
      0.2477,
      0.4317,
      0.4777,
      0.2139,
      0.492,
      0.2019,
      0.2789,
      0.2762,
      0.3135,
      0.3694,
      0.2447,
      0.2865,
      0.3562,
      0.3664,
      0.4046,
      0.5189,
      0.3473,
      0.2163,
      0.4813,
      0.2552,
      0.1651,
      0.2105,
      0.1462,
      0.3844,
      0.2265,
      0.3534,
      0.123,
      0.3456,
      0.0574,
      0.3994,
      0.4083,
      0.2024,
      0.4988,
      0.3402,
      0.2532,
      0.1414,
      0.2902,
      0.2965,
      0.0005,
      0.0291,
      0.3419,
      0.2052,
      0.2566,
      0.4185,
      0.3407,
      0.2371,
      0.5014,
      0.1405,
      0.0653,
      0.4497,
      0.2767,
      0.134,
      0.1871,
      0.4257,
      0,
      0.4263,
      0.0815,
      0.3425,
      0.3747,
      0.1782,
      0.5825,
      0.417,
      0.291,
      0.4668,
      0.2834,
      0.3323,
      0.3838,
      0.0969,
      0.2947,
      0.2393,
      0.3143,
      0.3965,
      0.3704,
      0.3625,
      0.5058,
      0.4032,
      0.188,
      0.4974,
      0.2547,
      0.2356,
      0.316,
      0.2651,
      0.2851,
      0.3865,
      0.4068,
      0.1338,
      0.3853,
      0.509,
      0.468,
      0.2299,
      0.2478,
      0.5295,
      0.3728,
      0.2266,
      0.1749,
      0.2847,
      0.3574,
      0.2291,
      0.2213,
      0.3703,
      0.3518,
      0.4118,
      0.3907,
      0.4535,
      0.271,
      0.4878,
      0.2045,
      0.2346,
      0.4137,
      0.4257,
      0.3724,
      0.2114,
      0.4659,
      0.443,
      0.503,
      0.2838,
      0.3251,
      0.3603,
      0.1418,
      0.4933,
      0.2805,
      0.196,
      0.1971,
      0.3308,
      0.2733,
      0.2556,
      0.0755,
      0.16,
      0.3105,
      0.1555,
      0.3602,
      0.4458,
      0.2552,
      0.4945,
      0.3493,
      0.3978,
      0.3976,
      0.1535,
      0.1466,
      0.0236,
      0,
      0.2876,
      0.2063,
      0.2797,
      0.3196,
      0.3927,
      0.0922,
      0.4896,
      0.3308,
      0.2307,
      0.5129,
      0.2107,
      0.0967,
      0.4219,
      0.2268,
      0.3978,
      0.1194,
      0.2462,
      0.4052,
      0.3383,
      0.4153,
      0.4856,
      0.4044,
      0.356,
      0.5156,
      0.369,
      0.4169,
      0.215,
      0.0944,
      0.2681,
      0.2338,
      0.1422,
      0.2544,
      0.1866,
      0.1863,
      0.3101,
      0.1142,
      0.1316,
      0.4644,
      0.3645,
      0.0965,
      0.2211,
      0.3414,
      0.2111,
      0.0666,
      0.245,
      0.1154,
      0.0533,
      0,
      0,
      0,
      0,
      0,
      0.1645,
      0.3,
      0.2853,
      0.2935,
      0.3433,
      0.298,
      0.3426,
      0.2838,
      0.2446,
      0.2898,
      0.3041,
      0.6506,
      0.3611,
      0.465,
      0.2546,
      0.4444,
      0.3713,
      0.4584,
      0.2059,
      0.361,
      0.3879,
      0.3308,
      0.2682,
      0.3878,
      0.5169,
      0.421,
      0.315,
      0.2717,
      0.2523,
      0.3037,
      0.2987,
      0.3006,
      0.4477,
      0.2496,
      0.3264,
      0.5691,
      0.069,
      0.3158,
      0.4015,
      0.1534,
      0.486,
      0.3208,
      0.3431,
      0.4115,
      0.2449,
      0.3576,
      0.3146,
      0.3933,
      0.0864,
      0.6244,
      0.2507,
      0.4395,
      0.5019,
      0.3821,
      0.2879,
      0.1449,
      0.489,
      0.5086,
      0.2768,
      0.4882,
      0.4628,
      0.466,
      0.1786,
      0.4862,
      0.3211,
      0.0462,
      0.5349,
      0.2462,
      0.16,
      0.626,
      0.5189,
      0.345,
      0.54,
      0.3836,
      0.2976,
      0.4099,
      0.4098,
      0.546,
      0.5604,
      0.5277,
      0.6117,
      0.5538,
      0.5876,
      0.5095,
      0.3525,
      0.3777,
      0,
      0.1933,
      0.5312,
      0.4348,
      0.4539,
      0.5771,
      0.5177,
      0.4191,
      0.6443,
      0.2132,
      0.5017,
      0.3748,
      0.5214,
      0.554,
      0.4531,
      0.3339,
      0.3131,
      0.3163,
      0.3971,
      0.2958,
      0.4896,
      0.374,
      0.4689,
      0.424,
      0.3524,
      0.4679,
      0.2757,
      0.3005,
      0.4166,
      0.2896,
      0.3638,
      0.2225,
      0.3289,
      0.3014,
      0.375,
      0.4393,
      0.564,
      0.4612,
      0.3128,
      0.4515,
      0.3005,
      0.2551,
      0.1624,
      0.2015,
      0.3581,
      0.2355,
      0.2933,
      0.1831,
      0.3735,
      0.2476,
      0.4147,
      0.2878,
      0.2282,
      0.5869,
      0.3205,
      0.286,
      0.3279,
      0.2953,
      0.162,
      0.1665,
      0.4432,
      0.3554,
      0.263,
      0.4151,
      0.5294,
      0.5672,
      0.2424,
      0.5555,
      0.5272,
      0.1902,
      0.3491,
      0.3571,
      0.1457,
      0.2323,
      0.3202,
      0.1028,
      0.5791,
      0.1792,
      0.3403,
      0.3334,
      0.2215,
      0.5797,
      0.4266,
      0.366,
      0.4944,
      0.2697,
      0.3838,
      0.4805,
      0.1187,
      0.4831,
      0.6159,
      0.2712,
      0.5321,
      0.5195,
      0.4858,
      0.5713,
      0.5665,
      0.2251,
      0.4087,
      0.434,
      0.3188,
      0.4635,
      0.4549,
      0.4899,
      0.3215,
      0.5838,
      0.2677,
      0.3612,
      0.5244,
      0.4666,
      0.5298,
      0.1968,
      0.5559,
      0.4124,
      0.2775,
      0.2935,
      0.3893,
      0.5071,
      0.1545,
      0.3043,
      0.3637,
      0.3517,
      0.4553,
      0.4282,
      0.4266,
      0.4834,
      0.5888,
      0.257,
      0.3529,
      0.5054,
      0.364,
      0.6237,
      0.2138,
      0.4283,
      0.5441,
      0.4312,
      0.2784,
      0.4235,
      0.3228,
      0.1679,
      0.5281,
      0.3171,
      0.3443,
      0.2939,
      0.2598,
      0.2536,
      0.2225,
      0.4325,
      0.2751,
      0.3066,
      0.3048,
      0.4065,
      0.4273,
      0.2858,
      0.6063,
      0.3132,
      0.4297,
      0.373,
      0.3299,
      0.4039,
      0.3722,
      0.0737,
      0.3951,
      0.2068,
      0.2443,
      0.4516,
      0.3706,
      0.1159,
      0.5646,
      0.4582,
      0.2063,
      0.4492,
      0.2352,
      0.1072,
      0.3602,
      0.1581,
      0.4345,
      0.0833,
      0.2857,
      0.4322,
      0.3528,
      0.4485,
      0.4808,
      0.3845,
      0.3905,
      0.5738,
      0.2965,
      0.4361,
      0.1708,
      0.0581,
      0.3007,
      0.1797,
      0.184,
      0.2372,
      0.1978,
      0,
      0.3538,
      0.4164,
      0.1933,
      0.5864,
      0.4659,
      0.1663,
      0.2207,
      0.3088,
      0.2462,
      0.1294,
      0.1985,
      0.2392,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1483,
      0.3803,
      0.3332,
      0.3033,
      0.513,
      0.2947,
      0.4041,
      0.3189,
      0.2762,
      0.3215,
      0.6361,
      0.4711,
      0.3184,
      0.4595,
      0.2614,
      0.3845,
      0.3179,
      0.4437,
      0.2465,
      0.246,
      0.3926,
      0.389,
      0.3485,
      0.3541,
      0.4908,
      0.3329,
      0.339,
      0.3129,
      0.166,
      0.3599,
      0.2661,
      0.3362,
      0.4019,
      0.1261,
      0.3626,
      0.5458,
      0.0994,
      0.1656,
      0.3869,
      0.2081,
      0.4208,
      0.3982,
      0.3633,
      0.3405,
      0.2747,
      0.3934,
      0.3867,
      0.4773,
      0.1574,
      0.5778,
      0.2894,
      0.4221,
      0.4942,
      0.3389,
      0.2276,
      0.2242,
      0.3893,
      0.4958,
      0.291,
      0.3781,
      0.4835,
      0.4526,
      0.3188,
      0.5309,
      0.3114,
      0.0472,
      0.5458,
      0.3625,
      0.0768,
      0.625,
      0.5643,
      0.3316,
      0.4084,
      0.5166,
      0.4071,
      0.5438,
      0.4363,
      0.4591,
      0.6286,
      0.5213,
      0.5873,
      0.4866,
      0.3935,
      0.5016,
      0.3226,
      0.4043,
      0,
      0.1565,
      0.5842,
      0.4518,
      0.4422,
      0.569,
      0.4659,
      0.4891,
      0.6417,
      0.3998,
      0.5338,
      0.488,
      0.506,
      0.5307,
      0.3886,
      0.395,
      0.3733,
      0.5147,
      0.3843,
      0.2671,
      0.4978,
      0.4202,
      0.5027,
      0.3389,
      0.2538,
      0.5245,
      0.2653,
      0.3337,
      0.4165,
      0.3954,
      0.5504,
      0.1803,
      0.5451,
      0.5094,
      0.5011,
      0.4965,
      0.4827,
      0.549,
      0.3339,
      0.4981,
      0.2423,
      0.2364,
      0.3307,
      0.1663,
      0.2722,
      0.1273,
      0.4585,
      0.3628,
      0.4361,
      0.3379,
      0.557,
      0.2763,
      0.2873,
      0.5418,
      0.4025,
      0.3877,
      0.3984,
      0.37,
      0.1379,
      0.1486,
      0.4489,
      0.4449,
      0.3232,
      0.4684,
      0.5406,
      0.5488,
      0.2624,
      0.6041,
      0.583,
      0.1997,
      0.2443,
      0.3428,
      0.1039,
      0.1676,
      0.4715,
      0.2045,
      0.665,
      0.2537,
      0.2547,
      0.5112,
      0.244,
      0.5426,
      0.5335,
      0.3854,
      0.5915,
      0.2109,
      0.3728,
      0.5729,
      0.1915,
      0.4883,
      0.6005,
      0.2174,
      0.598,
      0.5462,
      0.4762,
      0.5342,
      0.5456,
      0.2264,
      0.5162,
      0.4059,
      0.2477,
      0.5337,
      0.518,
      0.4919,
      0.2517,
      0.578,
      0.2438,
      0.497,
      0.5098,
      0.5689,
      0.4761,
      0.327,
      0.5583,
      0.4907,
      0.2941,
      0.2223,
      0.3808,
      0.5275,
      0.2062,
      0.3465,
      0.4855,
      0.4304,
      0.3974,
      0.5251,
      0.4621,
      0.3938,
      0.5856,
      0.2019,
      0.2946,
      0.5554,
      0.4303,
      0.5669,
      0.2154,
      0.4892,
      0.565,
      0.5391,
      0.3571,
      0.4773,
      0.2154,
      0.3276,
      0.5277,
      0.3537,
      0.3352,
      0.4141,
      0.3145,
      0.2311,
      0.2878,
      0.4513,
      0.3938,
      0.2916,
      0.4207,
      0.4698,
      0.4126,
      0.3691,
      0.556,
      0.2324,
      0.4906,
      0.3979,
      0.3775,
      0.4412,
      0.4645,
      0.1021,
      0.3989,
      0.2393,
      0.3135,
      0.4479,
      0.4768,
      0.0621,
      0.5543,
      0.3415,
      0.1808,
      0.5382,
      0.3525,
      0.1944,
      0.3799,
      0.1459,
      0.3733,
      0.0995,
      0.3552,
      0.5189,
      0.4014,
      0.5325,
      0.4712,
      0.2874,
      0.3639,
      0.4934,
      0.3539,
      0.4778,
      0.3695,
      0.1565,
      0.3746,
      0.2983,
      0.1765,
      0.251,
      0.1704,
      0,
      0.3407,
      0.393,
      0.2182,
      0.5555,
      0.2811,
      0.3004,
      0.2229,
      0.2019,
      0.1607,
      0.0973,
      0.1435,
      0.215,
      0,
      0.0367,
      0,
      0,
      0,
      0,
      0.0861,
      0.3267,
      0.3093,
      0.2878,
      0.5767,
      0.3258,
      0.4118,
      0.424,
      0.2599,
      0.2446,
      0.5037,
      0.3523,
      0.2489,
      0.2476,
      0.2969,
      0.3156,
      0.3174,
      0.408,
      0.1952,
      0.1802,
      0.3782,
      0.2443,
      0.2948,
      0.282,
      0.5255,
      0.312,
      0.2865,
      0.3168,
      0.1785,
      0.1844,
      0.3199,
      0.1788,
      0.382,
      0.1779,
      0.2835,
      0.611,
      0.0457,
      0.1934,
      0.4254,
      0.4012,
      0.2226,
      0.1695,
      0.3965,
      0.5048,
      0.3093,
      0.1654,
      0.2846,
      0.2314,
      0,
      0.5972,
      0.1886,
      0.4751,
      0.4395,
      0.2838,
      0.2008,
      0.0862,
      0.4067,
      0.5311,
      0.3441,
      0.3771,
      0.4553,
      0.4132,
      0.2416,
      0.4579,
      0.2454,
      0,
      0.5426,
      0.0416,
      0,
      0.4747,
      0.4378,
      0,
      0.35,
      0.4775,
      0.3069,
      0.2803,
      0.2822,
      0.4117,
      0.4995,
      0.3665,
      0.6263,
      0.2962,
      0.2959,
      0.4679,
      0.3206,
      0.1728,
      0,
      0.128,
      0.2777,
      0.314,
      0.4927,
      0.4185,
      0.3388,
      0.1384,
      0.6305,
      0.5637,
      0.3188,
      0.4523,
      0.4411,
      0.4536,
      0.3836,
      0.3584,
      0.4125,
      0.4954,
      0.4427,
      0.23,
      0.4637,
      0.4006,
      0.5122,
      0.2741,
      0.1411,
      0.4728,
      0.1043,
      0.3111,
      0.3915,
      0.3935,
      0.5374,
      0.2727,
      0.4034,
      0.4672,
      0.4559,
      0.4978,
      0.4171,
      0.5189,
      0.3443,
      0.4381,
      0.2397,
      0.1882,
      0.1634,
      0.1455,
      0.2545,
      0.2286,
      0.4315,
      0.3743,
      0.3966,
      0.3061,
      0.4694,
      0.3608,
      0.3623,
      0.5507,
      0.242,
      0.5174,
      0.1821,
      0.3464,
      0.2152,
      0.3984,
      0.3231,
      0.3683,
      0.2247,
      0.2841,
      0.3544,
      0.4247,
      0.1465,
      0.6005,
      0.2365,
      0.1843,
      0.2664,
      0.2794,
      0.1013,
      0.1385,
      0.4501,
      0.1208,
      0.3844,
      0.1871,
      0.3224,
      0.4771,
      0.1026,
      0.6151,
      0.5468,
      0.3681,
      0.4054,
      0.2311,
      0.3554,
      0.4426,
      0.1482,
      0.2731,
      0.3237,
      0.2212,
      0.4222,
      0.464,
      0.2825,
      0.5537,
      0.3319,
      0.2001,
      0.467,
      0.1485,
      0.1256,
      0.3722,
      0.3671,
      0.3395,
      0.3665,
      0.467,
      0.1132,
      0.4633,
      0.5214,
      0.4182,
      0.2728,
      0.2254,
      0.5609,
      0.4484,
      0.4483,
      0.152,
      0.3823,
      0.5139,
      0.1504,
      0.4354,
      0.451,
      0.3997,
      0.4216,
      0.4552,
      0.4559,
      0.2416,
      0.6282,
      0.2688,
      0.2764,
      0.483,
      0.4443,
      0.4874,
      0.1549,
      0.4884,
      0.3812,
      0.5711,
      0.3862,
      0.4348,
      0.3497,
      0.3403,
      0.5247,
      0.1632,
      0.5319,
      0.2167,
      0.2887,
      0.2215,
      0.4156,
      0.2489,
      0.3,
      0.3011,
      0.2295,
      0.3817,
      0.2959,
      0.471,
      0.5765,
      0.3761,
      0.311,
      0.3677,
      0.3421,
      0.2961,
      0.1807,
      0,
      0.3887,
      0.2749,
      0.329,
      0.2855,
      0.4398,
      0.0296,
      0.543,
      0.4352,
      0.2447,
      0.4946,
      0.3587,
      0.2009,
      0.3451,
      0.2206,
      0.3423,
      0.0948,
      0.3707,
      0.4611,
      0.3525,
      0.5837,
      0.4334,
      0.1478,
      0.3011,
      0.567,
      0.3,
      0.3464,
      0.2914,
      0.2274,
      0.3424,
      0.2061,
      0.1182,
      0.3105,
      0.2896,
      0.091,
      0.3406,
      0.0966,
      0.1618,
      0.5684,
      0.2183,
      0.2726,
      0.2091,
      0.2339,
      0.1136,
      0.0744,
      0.2761,
      0.1411,
      0.0225,
      0.0224,
      0,
      0,
      0,
      0,
      0.0705,
      0.4021,
      0.3416,
      0.2825,
      0.4591,
      0.238,
      0.1722,
      0.3549,
      0.1883,
      0.2151,
      0.2746,
      0.3603,
      0.3347,
      0.2487,
      0.2806,
      0.1827,
      0.3672,
      0.4375,
      0.2469,
      0.2446,
      0.2887,
      0.1382,
      0.2339,
      0.0803,
      0.2932,
      0.1451,
      0.2226,
      0.253,
      0.1726,
      0.1718,
      0.2871,
      0.1599,
      0.3312,
      0.2042,
      0.1794,
      0.5241,
      0.1445,
      0.2435,
      0.3544,
      0.3742,
      0.2172,
      0.3056,
      0.4159,
      0.3757,
      0.3931,
      0.3785,
      0.1995,
      0.2937,
      0.0236,
      0.5664,
      0.2757,
      0.4532,
      0.4921,
      0.2265,
      0.1837,
      0.1465,
      0.4519,
      0.4165,
      0.2555,
      0.3624,
      0.4649,
      0.3815,
      0.0949,
      0.4816,
      0.1755,
      0,
      0.5129,
      0,
      0,
      0.5218,
      0.3215,
      0,
      0.3461,
      0.4261,
      0.342,
      0.2625,
      0.1441,
      0.3805,
      0.4433,
      0.2696,
      0.5373,
      0.3486,
      0.6277,
      0.3631,
      0.2931,
      0.1484,
      0,
      0.0894,
      0.2352,
      0.3652,
      0.4094,
      0.3922,
      0.3101,
      0.2304,
      0.5993,
      0.5078,
      0.3046,
      0.4432,
      0.4654,
      0.4591,
      0.3575,
      0.2973,
      0.2957,
      0.4396,
      0.4151,
      0.2091,
      0.4168,
      0.4272,
      0.4644,
      0.3085,
      0.1598,
      0.4997,
      0.0155,
      0.2845,
      0.2244,
      0.3743,
      0.4269,
      0.1928,
      0.4764,
      0.4155,
      0.4486,
      0.4164,
      0.4714,
      0.4808,
      0.3141,
      0.4857,
      0.2003,
      0.2375,
      0.1956,
      0.1595,
      0.254,
      0.2991,
      0.366,
      0.3984,
      0.3945,
      0.22,
      0.5755,
      0.3216,
      0.2895,
      0.5072,
      0.2274,
      0.3557,
      0.23,
      0.3368,
      0.2349,
      0.4115,
      0.2451,
      0.3414,
      0.2411,
      0.3008,
      0.4229,
      0.371,
      0.0893,
      0.5676,
      0.203,
      0.1318,
      0.3011,
      0.223,
      0.0753,
      0.0684,
      0.4095,
      0,
      0.3486,
      0.1677,
      0.3267,
      0.443,
      0.1208,
      0.5308,
      0.4913,
      0.1781,
      0.4676,
      0.1092,
      0.2183,
      0.3768,
      0.1235,
      0.2348,
      0.2348,
      0.1857,
      0.3709,
      0.4237,
      0.2435,
      0.5517,
      0.4536,
      0.2146,
      0.4904,
      0.1429,
      0.0836,
      0.2369,
      0.2892,
      0.2761,
      0.401,
      0.4569,
      0.1074,
      0.4339,
      0.4469,
      0.3993,
      0.2582,
      0.2713,
      0.5038,
      0.2645,
      0.4368,
      0.1203,
      0.3957,
      0.3704,
      0.1393,
      0.4459,
      0.4311,
      0.3538,
      0.4073,
      0.3844,
      0.363,
      0.1103,
      0.5654,
      0.204,
      0.1538,
      0.3836,
      0.39,
      0.4436,
      0.1581,
      0.436,
      0.4012,
      0.3302,
      0.4455,
      0.4328,
      0.3085,
      0.209,
      0.5425,
      0.2647,
      0.3786,
      0.238,
      0.3423,
      0.2994,
      0.4344,
      0.2967,
      0.2718,
      0.3244,
      0.2129,
      0.4542,
      0.2902,
      0.3614,
      0.5562,
      0.4246,
      0.2889,
      0.4721,
      0.3109,
      0.275,
      0.1781,
      0,
      0.3695,
      0.2361,
      0.3047,
      0.2373,
      0.4241,
      0.0336,
      0.5394,
      0.2728,
      0.1207,
      0.5176,
      0.3876,
      0.1549,
      0.1846,
      0.1122,
      0.2529,
      0.0102,
      0.405,
      0.4545,
      0.369,
      0.4727,
      0.4479,
      0.2071,
      0.3299,
      0.4788,
      0.2805,
      0.2787,
      0.1025,
      0.2059,
      0.2663,
      0.3228,
      0.0785,
      0.2727,
      0.1166,
      0.1162,
      0.3545,
      0.1029,
      0.1516,
      0.5462,
      0.2662,
      0.2576,
      0.204,
      0.2621,
      0.2408,
      0.0853,
      0.278,
      0.2517,
      0.0379,
      0,
      0,
      0,
      0,
      0,
      0.164,
      0.3113,
      0.3944,
      0.238,
      0.3956,
      0.3345,
      0.1373,
      0.1714,
      0.1716,
      0.2341,
      0.238,
      0.2811,
      0.2622,
      0.2182,
      0.2199,
      0.2566,
      0.4046,
      0.451,
      0.2704,
      0.3673,
      0.3296,
      0.1576,
      0.1744,
      0.1051,
      0.2422,
      0.2,
      0.1281,
      0.2194,
      0.1965,
      0.3063,
      0.3063,
      0.2179,
      0.3156,
      0.2493,
      0.1585,
      0.4762,
      0.1126,
      0.1889,
      0.3287,
      0.4724,
      0.4775,
      0.2987,
      0.2852,
      0.3269,
      0.3496,
      0.3857,
      0.1858,
      0.1626,
      0.0256,
      0.4909,
      0.3062,
      0.3541,
      0.4747,
      0.246,
      0.1568,
      0.1491,
      0.4305,
      0.3415,
      0.1628,
      0.3307,
      0.4412,
      0.3886,
      0.0933,
      0.4502,
      0.2051,
      0,
      0.5102,
      0,
      0,
      0.4659,
      0.3059,
      0,
      0.2437,
      0.4752,
      0.3709,
      0.2475,
      0.1507,
      0.387,
      0.4636,
      0.2439,
      0.5094,
      0.4061,
      0.4473,
      0.3173,
      0.3036,
      0.2601,
      0,
      0.1243,
      0.2795,
      0.3654,
      0.3205,
      0.4582,
      0.3979,
      0.1228,
      0.5831,
      0.2417,
      0.2498,
      0.4053,
      0.4447,
      0.4418,
      0.2862,
      0.3092,
      0.2612,
      0.4107,
      0.464,
      0.2713,
      0.4577,
      0.403,
      0.4359,
      0.2698,
      0.0889,
      0.4762,
      0.0721,
      0.3469,
      0.2984,
      0.3285,
      0.4993,
      0.1584,
      0.4548,
      0.4527,
      0.4311,
      0.3738,
      0.4479,
      0.5093,
      0.2314,
      0.4714,
      0.0824,
      0.2106,
      0.2987,
      0.1959,
      0.2573,
      0.1788,
      0.425,
      0.3949,
      0.3609,
      0.1052,
      0.487,
      0.2459,
      0.3634,
      0.5013,
      0.3885,
      0.2109,
      0.4884,
      0.357,
      0.312,
      0.1679,
      0.3718,
      0.3286,
      0.1542,
      0.245,
      0.3883,
      0.4289,
      0.0901,
      0.5408,
      0.1864,
      0.083,
      0.2354,
      0.2513,
      0.1113,
      0.0839,
      0.4104,
      0,
      0.3632,
      0.1766,
      0.2953,
      0.4653,
      0.0108,
      0.5119,
      0.394,
      0.2479,
      0.4015,
      0.1337,
      0.2459,
      0.1835,
      0.1065,
      0.2251,
      0.1461,
      0.1358,
      0.441,
      0.4668,
      0.2639,
      0.4872,
      0.4643,
      0.2678,
      0.4743,
      0.1304,
      0.1675,
      0.3426,
      0.3196,
      0.3555,
      0.3767,
      0.5618,
      0.117,
      0.4295,
      0.595,
      0.4701,
      0.2721,
      0.325,
      0.5053,
      0.3085,
      0.3453,
      0.1115,
      0.3073,
      0.3995,
      0.1643,
      0.4542,
      0.4263,
      0.2935,
      0.2505,
      0.4148,
      0.3273,
      0.1488,
      0.5563,
      0.1894,
      0.1294,
      0.4293,
      0.5208,
      0.3399,
      0.1459,
      0.5324,
      0.4236,
      0.3332,
      0.3861,
      0.3996,
      0.1109,
      0.4156,
      0.4993,
      0.3789,
      0.2746,
      0.4968,
      0.2524,
      0.3258,
      0.2771,
      0.3155,
      0.266,
      0.3534,
      0.1637,
      0.5192,
      0.2946,
      0.2489,
      0.4913,
      0.397,
      0.3664,
      0.3663,
      0.2633,
      0.311,
      0.0804,
      0,
      0.3141,
      0.2318,
      0.3332,
      0.2158,
      0.4068,
      0.039,
      0.4636,
      0.1881,
      0.2149,
      0.5197,
      0.3109,
      0,
      0.2447,
      0.098,
      0.2321,
      0.0688,
      0.4699,
      0.4672,
      0.3279,
      0.5153,
      0.4496,
      0.2428,
      0.4168,
      0.5061,
      0.2868,
      0.2997,
      0.1185,
      0.292,
      0.2307,
      0.2396,
      0.1663,
      0.2429,
      0.1026,
      0.1366,
      0.3344,
      0.0135,
      0.0839,
      0.4636,
      0.241,
      0.1066,
      0.2053,
      0.4233,
      0.2579,
      0.098,
      0.2519,
      0.1127,
      0.0347,
      0,
      0,
      0,
      0,
      0,
      0.1625,
      0.2304,
      0.2458,
      0.3146,
      0.3755,
      0.252,
      0.1132,
      0.2276,
      0.1683,
      0.1189,
      0.2403,
      0.3889,
      0.1682,
      0.1815,
      0.2587,
      0.2845,
      0.3646,
      0.4661,
      0.1385,
      0.2496,
      0.3167,
      0.2322,
      0.2465,
      0.1854,
      0.2651,
      0.2855,
      0.1269,
      0.1975,
      0.117,
      0.2075,
      0.2789,
      0.1754,
      0.2607,
      0.2286,
      0.1575,
      0.5143,
      0.1158,
      0.1406,
      0.2734,
      0.222,
      0.2548,
      0.2367,
      0.2773,
      0.2847,
      0.1875,
      0.1383,
      0.1892,
      0.2133,
      0.036,
      0.5857,
      0.288,
      0.3057,
      0.4157,
      0.1795,
      0.1402,
      0.1556,
      0.4704,
      0.2954,
      0.1765,
      0.3618,
      0.4803,
      0.4823,
      0.0226,
      0.4938,
      0.1739,
      0,
      0.3993,
      0.0332,
      0,
      0.382,
      0.3429,
      0,
      0.2168,
      0.4758,
      0.3806,
      0.327,
      0.168,
      0.3783,
      0.4192,
      0.2115,
      0.518,
      0.3762,
      0.3392,
      0.3252,
      0.2769,
      0.1219,
      0,
      0.1211,
      0.3914,
      0.2196,
      0.3691,
      0.5022,
      0.3642,
      0.1456,
      0.5656,
      0.2303,
      0.1752,
      0.3368,
      0.3987,
      0.4713,
      0.1485,
      0.4666,
      0.2553,
      0.3145,
      0.4428,
      0.1979,
      0.474,
      0.3,
      0.4688,
      0.3262,
      0.0853,
      0.3851,
      0.1213,
      0.2548,
      0.3028,
      0.3533,
      0.4732,
      0.1981,
      0.3084,
      0.4837,
      0.5114,
      0.4688,
      0.451,
      0.4641,
      0.3806,
      0.3727,
      0.1242,
      0.1585,
      0.1506,
      0.2708,
      0.2414,
      0.1184,
      0.3554,
      0.3224,
      0.4927,
      0.0647,
      0.5047,
      0.1861,
      0.1742,
      0.4515,
      0.3022,
      0.2606,
      0.1993,
      0.3342,
      0.2491,
      0.088,
      0.2978,
      0.4758,
      0.2906,
      0.2342,
      0.4133,
      0.3441,
      0.13,
      0.4853,
      0.1456,
      0,
      0.1501,
      0.2992,
      0.0323,
      0.0337,
      0.5121,
      0,
      0.2957,
      0.2781,
      0.2062,
      0.491,
      0.1075,
      0.5231,
      0.3295,
      0.3759,
      0.3666,
      0.1455,
      0.1804,
      0.1833,
      0.1264,
      0.3379,
      0.1562,
      0.1143,
      0.3462,
      0.4898,
      0.2501,
      0.5682,
      0.2815,
      0.2383,
      0.3865,
      0.1095,
      0.1564,
      0.2955,
      0.3798,
      0.244,
      0.4115,
      0.5147,
      0.1466,
      0.526,
      0.364,
      0.4422,
      0.3221,
      0.2634,
      0.43,
      0.3135,
      0.2854,
      0.1626,
      0.413,
      0.3927,
      0.1968,
      0.4714,
      0.5288,
      0.489,
      0.3366,
      0.4336,
      0.2732,
      0.1228,
      0.5267,
      0.1564,
      0.1677,
      0.529,
      0.4489,
      0.2606,
      0.1054,
      0.5639,
      0.4577,
      0.4679,
      0.4312,
      0.4049,
      0.2282,
      0.1968,
      0.576,
      0.3155,
      0.2413,
      0.1344,
      0.2713,
      0.237,
      0.2566,
      0.1983,
      0.234,
      0.2937,
      0.0629,
      0.343,
      0.3025,
      0.2937,
      0.5647,
      0.3803,
      0.2631,
      0.3234,
      0.2369,
      0.219,
      0.0719,
      0,
      0.3243,
      0.1054,
      0.2888,
      0.1675,
      0.5098,
      0,
      0.4942,
      0.2148,
      0.2117,
      0.4172,
      0.1622,
      0,
      0.3208,
      0.0985,
      0.1761,
      0.068,
      0.2632,
      0.5152,
      0.4669,
      0.4997,
      0.4847,
      0.2773,
      0.315,
      0.449,
      0.2306,
      0.276,
      0.1636,
      0.2106,
      0.1641,
      0.0611,
      0.1875,
      0.177,
      0.2005,
      0.0461,
      0.288,
      0.0511,
      0.0562,
      0.5342,
      0.2083,
      0.0328,
      0.1619,
      0.2098,
      0.2701,
      0.0826,
      0.1514,
      0.0831,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1246,
      0.2487,
      0.3479,
      0.2414,
      0.366,
      0.3151,
      0.0382,
      0.231,
      0.2236,
      0.1706,
      0.2739,
      0.3096,
      0.1755,
      0.2395,
      0.3368,
      0.2284,
      0.3806,
      0.2595,
      0.1307,
      0.3105,
      0.2965,
      0.2375,
      0.2059,
      0.1374,
      0.3449,
      0.2986,
      0.1446,
      0.232,
      0.1632,
      0.0597,
      0.2843,
      0.2679,
      0.2666,
      0.202,
      0.1817,
      0.528,
      0.1503,
      0.2405,
      0.2966,
      0.1831,
      0.1974,
      0.3628,
      0.3414,
      0.3316,
      0.2551,
      0.3637,
      0.1776,
      0.1784,
      0,
      0.5694,
      0.2858,
      0.2152,
      0.4684,
      0.1513,
      0.0931,
      0.1401,
      0.4246,
      0.3303,
      0.1569,
      0.3627,
      0.3622,
      0.4237,
      0.016,
      0.5405,
      0.0949,
      0,
      0.5091,
      0.0102,
      0,
      0.3141,
      0.3896,
      0,
      0.3372,
      0.3936,
      0.4075,
      0.2944,
      0.1655,
      0.3403,
      0.4182,
      0.2435,
      0.5201,
      0.3532,
      0.309,
      0.32,
      0.2322,
      0.1565,
      0,
      0.1361,
      0.414,
      0.305,
      0.2791,
      0.3909,
      0.294,
      0.1499,
      0.5777,
      0.2178,
      0.3645,
      0.3811,
      0.4958,
      0.4461,
      0.1735,
      0.4024,
      0.1585,
      0.2803,
      0.4357,
      0.239,
      0.4218,
      0.3055,
      0.5111,
      0.4592,
      0.0579,
      0.4827,
      0.1219,
      0.2994,
      0.3414,
      0.3135,
      0.3582,
      0.2038,
      0.196,
      0.3837,
      0.4658,
      0.5658,
      0.5316,
      0.4221,
      0.3273,
      0.4732,
      0.2034,
      0.1914,
      0.1714,
      0.2611,
      0.2739,
      0.1686,
      0.24,
      0.3033,
      0.4202,
      0.1118,
      0.4444,
      0.2567,
      0.2186,
      0.5112,
      0.3076,
      0.2188,
      0.2062,
      0.2816,
      0.1155,
      0.17,
      0.2722,
      0.4271,
      0.2789,
      0.2753,
      0.4459,
      0.2482,
      0.1251,
      0.5299,
      0.1614,
      0,
      0.2328,
      0.3258,
      0.0604,
      0.0357,
      0.4076,
      0.0167,
      0.2732,
      0.2757,
      0.3709,
      0.3851,
      0.148,
      0.5569,
      0.3312,
      0.2162,
      0.3659,
      0.1363,
      0.2486,
      0.284,
      0.1845,
      0.3397,
      0.0921,
      0.0985,
      0.2958,
      0.3735,
      0.2599,
      0.5484,
      0.2321,
      0.3503,
      0.4907,
      0.1125,
      0.1767,
      0.3176,
      0.4213,
      0.3075,
      0.3566,
      0.359,
      0.1659,
      0.4389,
      0.3568,
      0.4481,
      0.4559,
      0.3318,
      0.521,
      0.3128,
      0.288,
      0.158,
      0.3717,
      0.3689,
      0.2584,
      0.3386,
      0.442,
      0.4162,
      0.2876,
      0.4146,
      0.4104,
      0.1193,
      0.5642,
      0.143,
      0.1956,
      0.4565,
      0.4513,
      0.2425,
      0.1024,
      0.5243,
      0.3682,
      0.498,
      0.3502,
      0.3848,
      0.2117,
      0.0876,
      0.5723,
      0.3159,
      0.2585,
      0.2188,
      0.3253,
      0.1996,
      0.2345,
      0.1762,
      0.1964,
      0.3097,
      0.2074,
      0.3194,
      0.3388,
      0.2046,
      0.5528,
      0.3964,
      0.4394,
      0.3698,
      0.3596,
      0.2667,
      0.0427,
      0,
      0.3691,
      0.1163,
      0.2228,
      0.2411,
      0.43,
      0.0555,
      0.5653,
      0.2618,
      0.0304,
      0.5086,
      0.2042,
      0.0928,
      0.2964,
      0.0485,
      0.169,
      0.0938,
      0.2515,
      0.3868,
      0.4106,
      0.4,
      0.4699,
      0.3078,
      0.3423,
      0.5223,
      0.2646,
      0.3354,
      0.1266,
      0.1836,
      0.107,
      0.0701,
      0.1983,
      0.1582,
      0.1178,
      0.0177,
      0.2636,
      0.1367,
      0.0449,
      0.5289,
      0.2843,
      0.1207,
      0.1587,
      0.1018,
      0.1888,
      0.0672,
      0.1711,
      0.1621,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1518,
      0.2382,
      0.209,
      0.1713,
      0.3231,
      0.311,
      0.1174,
      0.2314,
      0.1724,
      0.2232,
      0.273,
      0.4358,
      0.1546,
      0.3186,
      0.31,
      0.2954,
      0.3544,
      0.3872,
      0.1047,
      0.3082,
      0.284,
      0.3072,
      0.2189,
      0.2121,
      0.4356,
      0.2816,
      0.244,
      0.2986,
      0.2013,
      0.141,
      0.2444,
      0.2624,
      0.3076,
      0.2393,
      0.1354,
      0.6313,
      0.1787,
      0.4448,
      0.2677,
      0.2547,
      0.1848,
      0.1913,
      0.294,
      0.4089,
      0.2832,
      0.1551,
      0.2424,
      0.2068,
      0.0053,
      0.6264,
      0.29,
      0.3113,
      0.4169,
      0.2616,
      0.1667,
      0.1768,
      0.4781,
      0.2932,
      0.2768,
      0.3184,
      0.3302,
      0.2616,
      0.044,
      0.5521,
      0.0657,
      0,
      0.4985,
      0.0014,
      0,
      0.3304,
      0.2825,
      0.0252,
      0.3986,
      0.3482,
      0.406,
      0.2346,
      0.2727,
      0.32,
      0.3758,
      0.3468,
      0.6171,
      0.3445,
      0.4391,
      0.3559,
      0.3148,
      0.1063,
      0,
      0.0758,
      0.2619,
      0.2969,
      0.3725,
      0.3844,
      0.3317,
      0.2536,
      0.6458,
      0.3497,
      0.1926,
      0.423,
      0.4977,
      0.4625,
      0.2367,
      0.2698,
      0.1637,
      0.2263,
      0.3432,
      0.2154,
      0.3252,
      0.2752,
      0.5709,
      0.3684,
      0.1484,
      0.4203,
      0.2019,
      0.3263,
      0.3279,
      0.3992,
      0.3346,
      0.205,
      0.1506,
      0.2687,
      0.2668,
      0.4998,
      0.5059,
      0.3882,
      0.3497,
      0.4074,
      0.1975,
      0.1572,
      0.28,
      0.114,
      0.308,
      0.2897,
      0.2909,
      0.3096,
      0.3348,
      0.1011,
      0.344,
      0.2325,
      0.3497,
      0.5609,
      0.3428,
      0.1835,
      0.1952,
      0.2946,
      0.1572,
      0.1298,
      0.1861,
      0.2505,
      0.1254,
      0.2993,
      0.4086,
      0.2168,
      0.1745,
      0.6217,
      0.1943,
      0,
      0.1721,
      0.3497,
      0.0279,
      0.0932,
      0.3975,
      0.0876,
      0.3835,
      0.2668,
      0.2693,
      0.2635,
      0.1468,
      0.643,
      0.3358,
      0.3677,
      0.2447,
      0.1964,
      0.2762,
      0.4353,
      0.1412,
      0.2829,
      0.0581,
      0.1031,
      0.3792,
      0.2645,
      0.2844,
      0.605,
      0.2785,
      0.2673,
      0.4216,
      0.2017,
      0.1676,
      0.3093,
      0.3687,
      0.2493,
      0.3769,
      0.2768,
      0.1018,
      0.2935,
      0.4389,
      0.3677,
      0.179,
      0.3938,
      0.5848,
      0.1841,
      0.2891,
      0.0944,
      0.4544,
      0.2713,
      0.2424,
      0.2053,
      0.2885,
      0.2175,
      0.3131,
      0.3034,
      0.3687,
      0.1969,
      0.6266,
      0.2067,
      0.1523,
      0.3502,
      0.3764,
      0.3065,
      0.1751,
      0.567,
      0.3353,
      0.2729,
      0.3011,
      0.4056,
      0.3328,
      0.1622,
      0.6589,
      0.3033,
      0.1966,
      0.1787,
      0.3403,
      0.1971,
      0.2142,
      0.1469,
      0.2586,
      0.3395,
      0.3093,
      0.356,
      0.3327,
      0.2216,
      0.6134,
      0.3204,
      0.4232,
      0.2853,
      0.1656,
      0.2379,
      0.1144,
      0,
      0.4066,
      0.1134,
      0.1881,
      0.2388,
      0.2704,
      0,
      0.5614,
      0.2584,
      0.1306,
      0.4169,
      0.2197,
      0.1095,
      0.1807,
      0.0816,
      0.3231,
      0.0936,
      0.2703,
      0.2995,
      0.2195,
      0.3529,
      0.4684,
      0.2768,
      0.3686,
      0.5836,
      0.2956,
      0.4375,
      0.1446,
      0.0442,
      0.2227,
      0.1625,
      0.1032,
      0.1496,
      0.1016,
      0,
      0.2801,
      0.2045,
      0.0292,
      0.6402,
      0.2493,
      0.194,
      0.1542,
      0.1617,
      0.1062,
      0.1479,
      0.1226,
      0.0871,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1802,
      0.3702,
      0.272,
      0.2722,
      0.2972,
      0.2772,
      0.1975,
      0.303,
      0.2351,
      0.267,
      0.4187,
      0.503,
      0.2231,
      0.3481,
      0.284,
      0.2221,
      0.4128,
      0.37,
      0.1664,
      0.1717,
      0.3651,
      0.35,
      0.2518,
      0.2329,
      0.4873,
      0.2442,
      0.3388,
      0.2813,
      0.1652,
      0.2921,
      0.2868,
      0.3956,
      0.2803,
      0.198,
      0.3986,
      0.5964,
      0.2052,
      0.3878,
      0.3803,
      0.2173,
      0.2852,
      0.3584,
      0.3018,
      0.3911,
      0.3304,
      0.1573,
      0.4013,
      0.2908,
      0,
      0.6323,
      0.3512,
      0.2865,
      0.5124,
      0.2425,
      0.2293,
      0.2045,
      0.4793,
      0.518,
      0.4382,
      0.474,
      0.5094,
      0.3835,
      0.1851,
      0.5382,
      0.2934,
      0,
      0.4957,
      0.3477,
      0.0192,
      0.473,
      0.4475,
      0.1135,
      0.3397,
      0.3392,
      0.4406,
      0.3739,
      0.3654,
      0.4747,
      0.4898,
      0.4665,
      0.6041,
      0.4633,
      0.4737,
      0.4427,
      0.3236,
      0.3809,
      0.1187,
      0.1091,
      0.5754,
      0.2727,
      0.3954,
      0.4711,
      0.4874,
      0.5009,
      0.5987,
      0.4299,
      0.3099,
      0.3879,
      0.4192,
      0.4198,
      0.4233,
      0.257,
      0.2011,
      0.2798,
      0.3936,
      0.252,
      0.3023,
      0.305,
      0.5518,
      0.3144,
      0.1175,
      0.4997,
      0.229,
      0.3175,
      0.2158,
      0.3372,
      0.285,
      0.1389,
      0.2278,
      0.3262,
      0.3591,
      0.4261,
      0.5302,
      0.3656,
      0.4155,
      0.4761,
      0.1397,
      0.2232,
      0.1597,
      0.0368,
      0.314,
      0.2054,
      0.2853,
      0.2207,
      0.3478,
      0.3236,
      0.4836,
      0.373,
      0.267,
      0.5628,
      0.3177,
      0.3546,
      0.3811,
      0.3015,
      0.149,
      0.3559,
      0.2908,
      0.3752,
      0.1547,
      0.3081,
      0.4957,
      0.4659,
      0.3077,
      0.5783,
      0.4687,
      0.1833,
      0.3804,
      0.3156,
      0.1874,
      0.0909,
      0.3877,
      0.1361,
      0.5394,
      0.1802,
      0.2745,
      0.3086,
      0.2093,
      0.5964,
      0.3601,
      0.2826,
      0.5186,
      0.2823,
      0.2356,
      0.4608,
      0.2015,
      0.4479,
      0.3255,
      0.1554,
      0.463,
      0.2982,
      0.5021,
      0.6081,
      0.3929,
      0.1848,
      0.5283,
      0.3773,
      0.3435,
      0.5577,
      0.5133,
      0.3231,
      0.3365,
      0.5043,
      0.2026,
      0.3301,
      0.4632,
      0.363,
      0.1828,
      0.2803,
      0.588,
      0.3424,
      0.4169,
      0.1723,
      0.491,
      0.3459,
      0.2471,
      0.264,
      0.3268,
      0.3232,
      0.3304,
      0.3579,
      0.3629,
      0.3214,
      0.6275,
      0.1774,
      0.2235,
      0.4492,
      0.382,
      0.4975,
      0.1371,
      0.4613,
      0.4304,
      0.3588,
      0.2579,
      0.4688,
      0.2977,
      0.2158,
      0.6261,
      0.2636,
      0.3638,
      0.2911,
      0.3347,
      0.2453,
      0.3612,
      0.2822,
      0.3292,
      0.2898,
      0.4387,
      0.392,
      0.4465,
      0.2883,
      0.599,
      0.325,
      0.3419,
      0.3863,
      0.2812,
      0.2956,
      0.3665,
      0,
      0.4286,
      0.1621,
      0.1462,
      0.3248,
      0.3243,
      0.0674,
      0.5136,
      0.3018,
      0.1364,
      0.5042,
      0.2065,
      0.0525,
      0.2263,
      0.0283,
      0.3552,
      0.0654,
      0.213,
      0.3498,
      0.2444,
      0.3274,
      0.4767,
      0.2437,
      0.2547,
      0.5572,
      0.3331,
      0.3958,
      0.2581,
      0.0721,
      0.2962,
      0.1611,
      0.0426,
      0.1616,
      0.1169,
      0.0377,
      0.2722,
      0.2697,
      0.1032,
      0.6013,
      0.2246,
      0.1412,
      0.1686,
      0.2437,
      0.1096,
      0.0983,
      0.2185,
      0.1129,
      0,
      0,
      0,
      0,
      0,
      0,
      0.205,
      0.2853,
      0.2875,
      0.2324,
      0.3231,
      0.2728,
      0.1372,
      0.3821,
      0.2844,
      0.2041,
      0.4067,
      0.4515,
      0.2699,
      0.187,
      0.1694,
      0.2091,
      0.2635,
      0.2858,
      0.1145,
      0.1714,
      0.2108,
      0.2905,
      0.2365,
      0.1762,
      0.4657,
      0.2213,
      0.2213,
      0.2393,
      0.1996,
      0.2991,
      0.2336,
      0.3827,
      0.2846,
      0.2215,
      0.4023,
      0.6067,
      0.0884,
      0.2388,
      0.3387,
      0.1827,
      0.2405,
      0.4841,
      0.2723,
      0.398,
      0.2748,
      0.1169,
      0.2523,
      0.363,
      0.0051,
      0.5829,
      0.245,
      0.2315,
      0.4831,
      0.2018,
      0.1054,
      0.172,
      0.4683,
      0.5575,
      0.4408,
      0.4378,
      0.4193,
      0.3756,
      0.2094,
      0.5524,
      0.3238,
      0.0439,
      0.4995,
      0.0156,
      0,
      0.4456,
      0.2729,
      0.1608,
      0.4149,
      0.4687,
      0.4575,
      0.2755,
      0.1836,
      0.4534,
      0.4777,
      0.3655,
      0.563,
      0.4819,
      0.4363,
      0.4042,
      0.2281,
      0.4935,
      0.1044,
      0.0821,
      0.2669,
      0.3519,
      0.3742,
      0.5238,
      0.5076,
      0.1841,
      0.5861,
      0.3842,
      0.2348,
      0.3675,
      0.3745,
      0.342,
      0.4536,
      0.3036,
      0.2333,
      0.3435,
      0.3459,
      0.1793,
      0.2971,
      0.2369,
      0.5518,
      0.2681,
      0.1535,
      0.5131,
      0.1428,
      0.2246,
      0.169,
      0.3442,
      0.2749,
      0.1497,
      0.3439,
      0.2687,
      0.3832,
      0.4099,
      0.5537,
      0.291,
      0.42,
      0.4638,
      0.2293,
      0.1847,
      0.2514,
      0.0996,
      0.2718,
      0.2327,
      0.3221,
      0.2386,
      0.3286,
      0.2927,
      0.4756,
      0.2629,
      0.2118,
      0.5159,
      0.3155,
      0.394,
      0.3934,
      0.3021,
      0.254,
      0.4111,
      0.367,
      0.2959,
      0.2115,
      0.282,
      0.4449,
      0.5238,
      0.2781,
      0.5878,
      0.5904,
      0.2592,
      0.357,
      0.2548,
      0.1428,
      0.1285,
      0.3822,
      0.1203,
      0.3359,
      0.1727,
      0.2641,
      0.2908,
      0.1869,
      0.5968,
      0.3255,
      0.3774,
      0.4352,
      0.3039,
      0.2497,
      0.2752,
      0.2064,
      0.2825,
      0.3036,
      0.237,
      0.3288,
      0.3422,
      0.5378,
      0.5265,
      0.4368,
      0.1143,
      0.5205,
      0.4571,
      0.3419,
      0.349,
      0.2963,
      0.258,
      0.4192,
      0.5662,
      0.3046,
      0.3001,
      0.4015,
      0.4243,
      0.1774,
      0.2558,
      0.4956,
      0.3176,
      0.4287,
      0.1689,
      0.2913,
      0.4245,
      0.1837,
      0.2631,
      0.3328,
      0.3229,
      0.3663,
      0.3434,
      0.2336,
      0.1837,
      0.552,
      0.2059,
      0.1277,
      0.4442,
      0.3548,
      0.4484,
      0.1078,
      0.3677,
      0.3269,
      0.4015,
      0.2782,
      0.4429,
      0.2494,
      0.2842,
      0.6149,
      0.2939,
      0.3696,
      0.3879,
      0.1965,
      0.2431,
      0.4077,
      0.3303,
      0.2444,
      0.2894,
      0.4098,
      0.3792,
      0.4343,
      0.3843,
      0.5786,
      0.3592,
      0.3137,
      0.4078,
      0.3535,
      0.3098,
      0.3116,
      0,
      0.3934,
      0.1991,
      0.2133,
      0.2665,
      0.3011,
      0.0492,
      0.5517,
      0.3142,
      0.1337,
      0.4967,
      0.2403,
      0.056,
      0.1547,
      0.1532,
      0.4202,
      0.0874,
      0.2824,
      0.4311,
      0.3192,
      0.3344,
      0.4086,
      0.1912,
      0.224,
      0.5528,
      0.1944,
      0.4037,
      0.2153,
      0.0647,
      0.1982,
      0.1297,
      0.0554,
      0.1672,
      0.0828,
      0.0164,
      0.2833,
      0.1446,
      0.0705,
      0.6105,
      0.1825,
      0.1257,
      0.1554,
      0.2775,
      0.0375,
      0.0944,
      0.2347,
      0.0367,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2259,
      0.2338,
      0.2964,
      0.2143,
      0.4488,
      0.2767,
      0.1545,
      0.4269,
      0.2503,
      0.1521,
      0.2402,
      0.3799,
      0.3154,
      0.1377,
      0.1933,
      0.1471,
      0.184,
      0.2588,
      0.1316,
      0.1872,
      0.069,
      0.2336,
      0.181,
      0.0584,
      0.3398,
      0.2076,
      0.1131,
      0.2588,
      0.2288,
      0.162,
      0.2037,
      0.2786,
      0.3772,
      0.1571,
      0.203,
      0.6004,
      0.1113,
      0.2157,
      0.2342,
      0.316,
      0.4287,
      0.2397,
      0.406,
      0.3778,
      0.2704,
      0.2471,
      0.1179,
      0.1856,
      0,
      0.5852,
      0.2084,
      0.1954,
      0.4389,
      0.2123,
      0.1124,
      0.1765,
      0.4332,
      0.5365,
      0.4191,
      0.3142,
      0.476,
      0.2906,
      0.168,
      0.5328,
      0.1769,
      0,
      0.5117,
      0,
      0,
      0.3051,
      0.2921,
      0,
      0.3442,
      0.4255,
      0.4728,
      0.1779,
      0.1459,
      0.3709,
      0.3343,
      0.2173,
      0.557,
      0.225,
      0.3758,
      0.2908,
      0.225,
      0.1737,
      0,
      0.147,
      0.2566,
      0.3412,
      0.3525,
      0.3406,
      0.2847,
      0.1363,
      0.5991,
      0.2585,
      0.1479,
      0.2941,
      0.3317,
      0.347,
      0.3044,
      0.2947,
      0.2508,
      0.343,
      0.3071,
      0.191,
      0.3647,
      0.2885,
      0.4844,
      0.2346,
      0.1624,
      0.4832,
      0.106,
      0.215,
      0.2537,
      0.3215,
      0.3524,
      0.156,
      0.253,
      0.3498,
      0.4385,
      0.4303,
      0.5032,
      0.3051,
      0.3881,
      0.4109,
      0.2304,
      0.1947,
      0.1749,
      0.1285,
      0.1992,
      0.1712,
      0.3412,
      0.3035,
      0.2838,
      0.2673,
      0.4387,
      0.2472,
      0.4836,
      0.5535,
      0.2602,
      0.3006,
      0.3189,
      0.373,
      0.2761,
      0.1501,
      0.321,
      0.273,
      0.0532,
      0.3122,
      0.4412,
      0.2994,
      0.0639,
      0.5617,
      0.2075,
      0.1631,
      0.2855,
      0.3115,
      0.117,
      0.1238,
      0.3936,
      0.0749,
      0.3035,
      0.2421,
      0.3105,
      0.3825,
      0.2511,
      0.5577,
      0.4022,
      0.247,
      0.4054,
      0.1801,
      0.227,
      0.228,
      0.1903,
      0.2009,
      0.1233,
      0.252,
      0.2926,
      0.3949,
      0.3614,
      0.536,
      0.2994,
      0.1707,
      0.4832,
      0.1569,
      0.1848,
      0.4218,
      0.2711,
      0.2254,
      0.3319,
      0.3689,
      0.1858,
      0.3689,
      0.2628,
      0.4495,
      0.1879,
      0.322,
      0.5674,
      0.2855,
      0.2607,
      0.1443,
      0.3657,
      0.3658,
      0.1435,
      0.2996,
      0.3796,
      0.3255,
      0.3341,
      0.3066,
      0.2673,
      0.2225,
      0.5712,
      0.2462,
      0.0778,
      0.3634,
      0.3412,
      0.371,
      0.1758,
      0.3828,
      0.292,
      0.2539,
      0.3096,
      0.4035,
      0.2504,
      0.4632,
      0.6061,
      0.2709,
      0.2803,
      0.3337,
      0.205,
      0.2445,
      0.2515,
      0.3212,
      0.1882,
      0.2694,
      0.3728,
      0.3836,
      0.5242,
      0.3055,
      0.5621,
      0.3767,
      0.3677,
      0.3379,
      0.3074,
      0.1043,
      0.0492,
      0,
      0.4063,
      0.2013,
      0.2422,
      0.3958,
      0.3674,
      0.0831,
      0.5051,
      0.2434,
      0.1919,
      0.4697,
      0.1752,
      0,
      0.1346,
      0.0953,
      0.3187,
      0.0843,
      0.2486,
      0.4488,
      0.2645,
      0.3666,
      0.3676,
      0.1729,
      0.2167,
      0.573,
      0.2359,
      0.3816,
      0.1078,
      0.0986,
      0.2955,
      0.1621,
      0.0999,
      0.1883,
      0.0341,
      0.024,
      0.3078,
      0.008,
      0.1056,
      0.5968,
      0.1396,
      0.1478,
      0.1501,
      0.31,
      0.0477,
      0.1075,
      0.0927,
      0.0352,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2469,
      0.1197,
      0.2773,
      0.2617,
      0.3095,
      0.2683,
      0.1047,
      0.1349,
      0.0815,
      0.1136,
      0.1612,
      0.2744,
      0.2158,
      0.1191,
      0.2149,
      0.1764,
      0.2858,
      0.2948,
      0.1954,
      0.283,
      0.0453,
      0.2401,
      0.0468,
      0.0283,
      0.2772,
      0.1393,
      0.1303,
      0.2668,
      0.1556,
      0.1825,
      0.1671,
      0.1805,
      0.3173,
      0.1546,
      0.1412,
      0.5397,
      0.0733,
      0.1266,
      0.318,
      0.3784,
      0.4692,
      0.3348,
      0.3539,
      0.3017,
      0.2113,
      0.3372,
      0.1798,
      0.1165,
      0.013,
      0.5193,
      0.1571,
      0.1781,
      0.465,
      0.1956,
      0.1806,
      0.1509,
      0.467,
      0.4753,
      0.2713,
      0.2435,
      0.4004,
      0.4098,
      0,
      0.5089,
      0.1987,
      0.1118,
      0.5001,
      0.0599,
      0,
      0.2657,
      0.2329,
      0,
      0.3469,
      0.3943,
      0.2928,
      0.3142,
      0.1667,
      0.3643,
      0.379,
      0.2253,
      0.4998,
      0.2885,
      0.2299,
      0.3297,
      0.2696,
      0.1967,
      0,
      0.0736,
      0.3495,
      0.2364,
      0.3571,
      0.2528,
      0.2824,
      0.1939,
      0.5303,
      0.1948,
      0.3141,
      0.382,
      0.434,
      0.4581,
      0.2096,
      0.4052,
      0.2137,
      0.365,
      0.3128,
      0.1967,
      0.3597,
      0.2649,
      0.4881,
      0.196,
      0.1022,
      0.4637,
      0.1528,
      0.1858,
      0.2198,
      0.297,
      0.373,
      0.1539,
      0.3262,
      0.3879,
      0.4385,
      0.3475,
      0.4743,
      0.2564,
      0.2501,
      0.447,
      0.2064,
      0.2437,
      0.2451,
      0.1969,
      0.2435,
      0.0943,
      0.3128,
      0.3518,
      0.4107,
      0.1696,
      0.4306,
      0.186,
      0.4214,
      0.4776,
      0.2786,
      0.2332,
      0.3759,
      0.229,
      0.3496,
      0.072,
      0.3028,
      0.4034,
      0.2694,
      0.2035,
      0.3862,
      0.3001,
      0.0962,
      0.5301,
      0.1668,
      0.1211,
      0.2737,
      0.3138,
      0.1545,
      0,
      0.3959,
      0.039,
      0.2753,
      0.1862,
      0.2903,
      0.4204,
      0.2519,
      0.512,
      0.3742,
      0.4126,
      0.3761,
      0.1987,
      0.3114,
      0.1979,
      0.1965,
      0.2332,
      0.1265,
      0.1904,
      0.2834,
      0.3866,
      0.3278,
      0.4659,
      0.2904,
      0.3542,
      0.4742,
      0,
      0.1449,
      0.3251,
      0.3232,
      0.2903,
      0.327,
      0.3199,
      0.2005,
      0.4478,
      0.3789,
      0.3869,
      0.3119,
      0.3168,
      0.4986,
      0.2867,
      0.2114,
      0.026,
      0.3179,
      0.2859,
      0.1398,
      0.2635,
      0.4369,
      0.418,
      0.3523,
      0.2641,
      0.2285,
      0.0701,
      0.5545,
      0.2215,
      0.1636,
      0.3747,
      0.2377,
      0.4047,
      0.1862,
      0.426,
      0.3065,
      0.2815,
      0.2676,
      0.342,
      0.111,
      0.4013,
      0.5414,
      0.3281,
      0.1913,
      0.39,
      0.2352,
      0.3724,
      0.2138,
      0.235,
      0.2622,
      0.2392,
      0.2409,
      0.4007,
      0.2356,
      0.1257,
      0.5166,
      0.4147,
      0.3552,
      0.3623,
      0.2891,
      0.1089,
      0,
      0,
      0.3376,
      0.1435,
      0.1325,
      0.3098,
      0.4395,
      0.0642,
      0.4786,
      0.1689,
      0.1084,
      0.4929,
      0.131,
      0.0231,
      0.2179,
      0.0339,
      0.2016,
      0.0153,
      0.3331,
      0.3712,
      0.3998,
      0.3496,
      0.3058,
      0.1847,
      0.2019,
      0.5528,
      0.1967,
      0.2506,
      0.1073,
      0.105,
      0.2186,
      0.122,
      0.1109,
      0.1093,
      0.0914,
      0.0388,
      0.1597,
      0,
      0.0853,
      0.5364,
      0.2413,
      0.1252,
      0.151,
      0.3254,
      0.114,
      0.0701,
      0.0745,
      0.0393,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2241,
      0.1276,
      0.2038,
      0.2393,
      0.2236,
      0.239,
      0.0645,
      0.1685,
      0.1264,
      0.0985,
      0.2096,
      0.2189,
      0.1181,
      0.1404,
      0.2322,
      0.1772,
      0.3387,
      0.3577,
      0.167,
      0.2821,
      0.1368,
      0.1796,
      0.1618,
      0.0957,
      0.2035,
      0.1957,
      0.0891,
      0.2,
      0.1166,
      0.1517,
      0.133,
      0.257,
      0.2629,
      0.0901,
      0.0638,
      0.514,
      0.1203,
      0.1313,
      0.2779,
      0.32,
      0.2625,
      0.2857,
      0.2627,
      0.1933,
      0.0662,
      0.2031,
      0.1171,
      0.0994,
      0.0254,
      0.4938,
      0.1982,
      0.1714,
      0.4158,
      0.2161,
      0.2446,
      0.1878,
      0.451,
      0.4351,
      0.1475,
      0.2074,
      0.3385,
      0.4175,
      0,
      0.4453,
      0.2123,
      0.0411,
      0.4387,
      0.0425,
      0,
      0.3002,
      0.3112,
      0,
      0.2902,
      0.3314,
      0.2921,
      0.2834,
      0.145,
      0.3686,
      0.2915,
      0.198,
      0.5187,
      0.1773,
      0.2813,
      0.3446,
      0.2185,
      0.1817,
      0,
      0.0908,
      0.2451,
      0.2683,
      0.2102,
      0.3832,
      0.2156,
      0.1585,
      0.5002,
      0.1294,
      0.2366,
      0.3214,
      0.3546,
      0.3579,
      0.2428,
      0.3823,
      0.171,
      0.3114,
      0.2935,
      0.2182,
      0.3702,
      0.1917,
      0.4723,
      0.3305,
      0.0083,
      0.406,
      0.2705,
      0.2386,
      0.2629,
      0.3651,
      0.2544,
      0.1311,
      0.3806,
      0.3794,
      0.4425,
      0.3987,
      0.3595,
      0.2987,
      0.2011,
      0.4064,
      0.1129,
      0.2197,
      0.135,
      0.1168,
      0.1685,
      0.106,
      0.3061,
      0.3262,
      0.4113,
      0.1111,
      0.3473,
      0.2451,
      0.1461,
      0.5094,
      0.3163,
      0.1991,
      0.232,
      0.2653,
      0.2167,
      0.0715,
      0.0766,
      0.3969,
      0.2583,
      0.2205,
      0.4047,
      0.2588,
      0.019,
      0.476,
      0.1478,
      0.0297,
      0.2479,
      0.2837,
      0.2055,
      0.051,
      0.4231,
      0,
      0.287,
      0.1228,
      0.3189,
      0.3686,
      0.1716,
      0.4718,
      0.2641,
      0.3997,
      0.3403,
      0.2873,
      0.3574,
      0.258,
      0.1867,
      0.243,
      0.0416,
      0.1662,
      0.2866,
      0.3817,
      0.3727,
      0.4167,
      0.4014,
      0.2425,
      0.4231,
      0.1871,
      0.1883,
      0.2808,
      0.2685,
      0.1719,
      0.3474,
      0.3767,
      0.181,
      0.4412,
      0.2562,
      0.346,
      0.1408,
      0.294,
      0.5007,
      0.3085,
      0.219,
      0.0386,
      0.3068,
      0.2121,
      0.1983,
      0.3035,
      0.4368,
      0.3911,
      0.2777,
      0.3133,
      0.2352,
      0.0746,
      0.5411,
      0.2441,
      0.1242,
      0.3531,
      0.2931,
      0.2484,
      0.0863,
      0.4617,
      0.4052,
      0.3766,
      0.2511,
      0.3267,
      0.2054,
      0.1958,
      0.5047,
      0.2326,
      0.1723,
      0.2266,
      0.2433,
      0.2372,
      0.1919,
      0.1073,
      0.2039,
      0.2382,
      0.2539,
      0.2517,
      0.3198,
      0.164,
      0.4813,
      0.3154,
      0.3382,
      0.3176,
      0.1719,
      0.0979,
      0,
      0,
      0.2488,
      0.0959,
      0.2334,
      0.3156,
      0.4301,
      0.1032,
      0.415,
      0.1363,
      0.1192,
      0.4566,
      0.2509,
      0.0693,
      0.299,
      0.0946,
      0.1689,
      0.0183,
      0.3362,
      0.3581,
      0.3936,
      0.3313,
      0.3534,
      0.1867,
      0.2152,
      0.5145,
      0.1981,
      0.2062,
      0.0805,
      0.0637,
      0.1448,
      0.1457,
      0.1114,
      0.123,
      0.0592,
      0,
      0.3218,
      0.0054,
      0,
      0.5261,
      0.2713,
      0.068,
      0.1483,
      0.1725,
      0.0967,
      0.0711,
      0.1172,
      0.0464,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2589,
      0.128,
      0.2485,
      0.2271,
      0.1654,
      0.2046,
      0,
      0.0631,
      0.0836,
      0.1563,
      0.1228,
      0.2019,
      0.1535,
      0.0884,
      0.1884,
      0.1474,
      0.3355,
      0.2639,
      0.0932,
      0.2973,
      0.0851,
      0.0791,
      0.1838,
      0.1726,
      0.2665,
      0.2747,
      0.0616,
      0.2213,
      0.1664,
      0.2134,
      0.2491,
      0.1609,
      0.2186,
      0.1264,
      0.1524,
      0.5395,
      0.1573,
      0.1685,
      0.275,
      0.2358,
      0.2317,
      0.2407,
      0.2114,
      0.2551,
      0.1153,
      0.1292,
      0.3122,
      0.1285,
      0.0549,
      0.4769,
      0.1652,
      0.1789,
      0.3447,
      0.1835,
      0.1775,
      0.0766,
      0.4082,
      0.3112,
      0.2054,
      0.2792,
      0.3757,
      0.3168,
      0,
      0.2877,
      0.1736,
      0,
      0.4565,
      0,
      0,
      0.316,
      0.2688,
      0,
      0.4555,
      0.334,
      0.2257,
      0.1896,
      0.2162,
      0.3535,
      0.3232,
      0.3086,
      0.4576,
      0.2926,
      0.5856,
      0.3718,
      0.2625,
      0.2379,
      0,
      0.0841,
      0.1889,
      0.2834,
      0.2315,
      0.2896,
      0.2867,
      0.1824,
      0.4638,
      0.3108,
      0.1002,
      0.3277,
      0.4448,
      0.459,
      0.2249,
      0.2437,
      0.1644,
      0.2821,
      0.3233,
      0.2123,
      0.3895,
      0.1266,
      0.3727,
      0.451,
      0.0196,
      0.3274,
      0.1084,
      0.233,
      0.2446,
      0.3404,
      0.246,
      0.1472,
      0.3215,
      0.3544,
      0.3198,
      0.3797,
      0.3978,
      0.2352,
      0.1462,
      0.3378,
      0.1887,
      0.2109,
      0.1462,
      0.2213,
      0.1458,
      0.2768,
      0.25,
      0.2479,
      0.3072,
      0.1139,
      0.3212,
      0.2804,
      0.1873,
      0.436,
      0.296,
      0.2049,
      0.2181,
      0.3043,
      0.2036,
      0.0647,
      0.1376,
      0.2611,
      0.1658,
      0.2876,
      0.3147,
      0.2702,
      0,
      0.5137,
      0.1722,
      0,
      0.2524,
      0.261,
      0.1567,
      0.0017,
      0.4113,
      0.0216,
      0.2141,
      0.1881,
      0.3034,
      0.3123,
      0.1499,
      0.4566,
      0.2416,
      0.3558,
      0.3105,
      0.1131,
      0.2964,
      0.2309,
      0.1504,
      0.2009,
      0.0413,
      0.183,
      0.3218,
      0.3421,
      0.2834,
      0.3394,
      0.3849,
      0.1656,
      0.353,
      0.1822,
      0.15,
      0.2212,
      0.1914,
      0.2598,
      0.2671,
      0.3417,
      0.1448,
      0.3182,
      0.2682,
      0.3107,
      0.0633,
      0.3018,
      0.4392,
      0.2092,
      0.2399,
      0.0635,
      0.3457,
      0.2195,
      0.12,
      0.3618,
      0.3284,
      0.278,
      0.2517,
      0.2873,
      0.3061,
      0.1396,
      0.4774,
      0.2137,
      0.1231,
      0.271,
      0.2392,
      0.2241,
      0.0792,
      0.3444,
      0.3443,
      0.3575,
      0.2593,
      0.3444,
      0.2237,
      0.1753,
      0.4635,
      0.2101,
      0.1633,
      0.2627,
      0.2877,
      0.2768,
      0.2062,
      0.1248,
      0.2068,
      0.251,
      0.2413,
      0.2618,
      0.3163,
      0.2088,
      0.458,
      0.2561,
      0.4032,
      0.3048,
      0.1399,
      0.106,
      0.0688,
      0,
      0.3081,
      0.1404,
      0.2199,
      0.2716,
      0.313,
      0.0555,
      0.3792,
      0.1386,
      0.1615,
      0.4065,
      0.26,
      0.1013,
      0.2627,
      0.0238,
      0.2313,
      0.0626,
      0.3852,
      0.284,
      0.2529,
      0.3928,
      0.3526,
      0.1116,
      0.1727,
      0.456,
      0.1588,
      0.2798,
      0.0896,
      0.001,
      0.1177,
      0.064,
      0.0628,
      0.1453,
      0.2242,
      0.0165,
      0.2433,
      0.0683,
      0,
      0.5146,
      0.1986,
      0.162,
      0.153,
      0.1901,
      0.0262,
      0.1331,
      0.1562,
      0.0833,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2129,
      0.2163,
      0.2322,
      0.2,
      0.1426,
      0.2807,
      0.0292,
      0.0702,
      0,
      0.1252,
      0.1768,
      0.2784,
      0.1429,
      0.3013,
      0.1987,
      0.2446,
      0.2601,
      0.1924,
      0,
      0.2174,
      0.1636,
      0.2319,
      0.1997,
      0.1201,
      0.4206,
      0.2463,
      0.0858,
      0.2166,
      0.1476,
      0.2387,
      0.1837,
      0.3108,
      0.3354,
      0.1635,
      0.1737,
      0.5453,
      0.0871,
      0.3805,
      0.3753,
      0.1884,
      0.1998,
      0.2794,
      0.2233,
      0.3146,
      0.4026,
      0.0882,
      0.2304,
      0.1923,
      0.0007,
      0.516,
      0.2754,
      0.1601,
      0.5001,
      0.2401,
      0.2081,
      0.1666,
      0.4539,
      0.2802,
      0.2479,
      0.346,
      0.3931,
      0.2564,
      0,
      0.3994,
      0.2306,
      0,
      0.5334,
      0.0584,
      0,
      0.2678,
      0.3631,
      0,
      0.4547,
      0.3796,
      0.3481,
      0.2494,
      0.2167,
      0.3378,
      0.3882,
      0.4405,
      0.5551,
      0.3048,
      0.2803,
      0.3618,
      0.3111,
      0.3796,
      0,
      0.0724,
      0.1447,
      0.2086,
      0.1689,
      0.2993,
      0.3211,
      0.2425,
      0.4906,
      0.311,
      0.1329,
      0.4244,
      0.4033,
      0.4263,
      0.2942,
      0.2183,
      0.1809,
      0.2209,
      0.2909,
      0.1281,
      0.3606,
      0.1201,
      0.4149,
      0.3786,
      0.0428,
      0.5167,
      0.1654,
      0.2241,
      0.1254,
      0.4003,
      0.1771,
      0.1794,
      0.275,
      0.3771,
      0.3379,
      0.3766,
      0.35,
      0.3257,
      0.2521,
      0.4902,
      0.1413,
      0.1179,
      0.2902,
      0.3279,
      0.2543,
      0.3765,
      0.3866,
      0.2287,
      0.4024,
      0.1312,
      0.3507,
      0.2743,
      0.2853,
      0.5295,
      0.2427,
      0.2968,
      0.2017,
      0.319,
      0.2596,
      0.1372,
      0.1632,
      0.3316,
      0.1743,
      0.2938,
      0.3842,
      0.3512,
      0.0309,
      0.5143,
      0.0896,
      0,
      0.2658,
      0.3769,
      0.1834,
      0.0087,
      0.3689,
      0.042,
      0.2633,
      0.1244,
      0.2362,
      0.3884,
      0.1919,
      0.5076,
      0.1939,
      0.2346,
      0.4213,
      0.1742,
      0.3095,
      0.2974,
      0.148,
      0.3083,
      0.0862,
      0.1851,
      0.3669,
      0.3977,
      0.306,
      0.4255,
      0.3124,
      0.1493,
      0.4963,
      0.0725,
      0.1789,
      0.2242,
      0.2616,
      0.2099,
      0.3334,
      0.3949,
      0.1853,
      0.3492,
      0.2798,
      0.3273,
      0.1044,
      0.3037,
      0.5429,
      0.2494,
      0.3424,
      0.056,
      0.3716,
      0.1562,
      0.0704,
      0.259,
      0.3257,
      0.275,
      0.2528,
      0.3474,
      0.3198,
      0.174,
      0.4855,
      0.1785,
      0.1164,
      0.2229,
      0.1923,
      0.2406,
      0.1371,
      0.4505,
      0.3449,
      0.2949,
      0.1957,
      0.4013,
      0.3103,
      0.1575,
      0.429,
      0.2651,
      0.1815,
      0.1948,
      0.3233,
      0.1748,
      0.2641,
      0.1511,
      0.3366,
      0.3112,
      0.2294,
      0.3027,
      0.254,
      0.1907,
      0.4496,
      0.2579,
      0.3905,
      0.4108,
      0.2163,
      0.3117,
      0.3041,
      0,
      0.4035,
      0.1001,
      0.2586,
      0.2696,
      0.3334,
      0.0428,
      0.441,
      0.2219,
      0.1547,
      0.5215,
      0.2157,
      0.0777,
      0.2073,
      0.0193,
      0.3933,
      0.0774,
      0.145,
      0.3643,
      0.2245,
      0.4125,
      0.3689,
      0.2261,
      0.2871,
      0.5377,
      0.1787,
      0.4217,
      0.1118,
      0,
      0.2221,
      0,
      0.0594,
      0.1966,
      0.1829,
      0.0235,
      0.2475,
      0.1965,
      0.0708,
      0.5612,
      0.2472,
      0.1437,
      0.1533,
      0.1253,
      0.042,
      0.0631,
      0.2194,
      0.1053,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2874,
      0.3148,
      0.2843,
      0.1933,
      0.1448,
      0.206,
      0.0232,
      0.2042,
      0.0443,
      0.1013,
      0.3467,
      0.2874,
      0.164,
      0.401,
      0.2187,
      0.1733,
      0.2719,
      0.2788,
      0.0704,
      0.2239,
      0.1381,
      0.2686,
      0.2453,
      0.1757,
      0.3723,
      0.1518,
      0.0966,
      0.212,
      0.1192,
      0.2374,
      0.2314,
      0.3745,
      0.2832,
      0.1454,
      0.2826,
      0.5079,
      0.1057,
      0.4713,
      0.4302,
      0.211,
      0.1701,
      0.3361,
      0.2167,
      0.4019,
      0.3761,
      0.1858,
      0.3056,
      0.3814,
      0.0135,
      0.458,
      0.2668,
      0.1506,
      0.4555,
      0.2279,
      0.1696,
      0.1248,
      0.4846,
      0.2935,
      0.4329,
      0.2557,
      0.4651,
      0.4099,
      0.11,
      0.4151,
      0.2384,
      0.1046,
      0.5016,
      0.4021,
      0.0259,
      0.3371,
      0.4063,
      0,
      0.3711,
      0.4627,
      0.2886,
      0.4026,
      0.3232,
      0.3131,
      0.5829,
      0.519,
      0.5565,
      0.4083,
      0.4164,
      0.4216,
      0.2795,
      0.1417,
      0,
      0.1661,
      0.4335,
      0.2835,
      0.1698,
      0.2758,
      0.2608,
      0.4564,
      0.5033,
      0.3904,
      0.1047,
      0.3492,
      0.3455,
      0.2841,
      0.3819,
      0.3461,
      0.2149,
      0.2135,
      0.2821,
      0.1765,
      0.4779,
      0.192,
      0.4733,
      0.3216,
      0.0832,
      0.4786,
      0.1592,
      0.1904,
      0.0981,
      0.3666,
      0.1664,
      0.1363,
      0.2455,
      0.462,
      0.4629,
      0.4209,
      0.3938,
      0.3589,
      0.2793,
      0.4447,
      0.1033,
      0.1204,
      0.4961,
      0.2591,
      0.3689,
      0.1878,
      0.4373,
      0.2179,
      0.4222,
      0.2776,
      0.3229,
      0.3124,
      0.3424,
      0.5317,
      0.3954,
      0.2529,
      0.241,
      0.2219,
      0.2974,
      0.3339,
      0.2492,
      0.4953,
      0.2619,
      0.2904,
      0.4251,
      0.4239,
      0.0079,
      0.5345,
      0.109,
      0,
      0.2332,
      0.4541,
      0.215,
      0.0456,
      0.4484,
      0.0332,
      0.5059,
      0.2029,
      0.2745,
      0.4811,
      0.1843,
      0.5434,
      0.2684,
      0.2656,
      0.3904,
      0.1499,
      0.3384,
      0.3544,
      0.194,
      0.4629,
      0.1687,
      0.1437,
      0.488,
      0.4742,
      0.2325,
      0.384,
      0.2139,
      0.0906,
      0.4712,
      0.0536,
      0.184,
      0.4154,
      0.368,
      0.2567,
      0.3877,
      0.4411,
      0.2178,
      0.4541,
      0.4399,
      0.3588,
      0.1128,
      0.2079,
      0.5323,
      0.3299,
      0.3536,
      0.1909,
      0.3544,
      0.1723,
      0.1459,
      0.2698,
      0.439,
      0.3889,
      0.3266,
      0.395,
      0.3201,
      0.2277,
      0.5421,
      0.1809,
      0.1306,
      0.2724,
      0.2399,
      0.2923,
      0.0692,
      0.4661,
      0.4087,
      0.3062,
      0.184,
      0.3951,
      0.3306,
      0.2478,
      0.4598,
      0.3474,
      0.2762,
      0.3937,
      0.22,
      0.2152,
      0.3421,
      0.1498,
      0.4362,
      0.2785,
      0.3321,
      0.4165,
      0.3409,
      0.2192,
      0.4663,
      0.3172,
      0.3667,
      0.3364,
      0.2494,
      0.4424,
      0.3291,
      0.0134,
      0.3918,
      0.1313,
      0.2926,
      0.2401,
      0.4344,
      0.1642,
      0.4202,
      0.2396,
      0.252,
      0.4882,
      0.2212,
      0.0689,
      0.2232,
      0.1089,
      0.4037,
      0.1033,
      0.1149,
      0.4708,
      0.3529,
      0.3774,
      0.3157,
      0.1791,
      0.2523,
      0.5274,
      0.1991,
      0.31,
      0.1897,
      0,
      0.2979,
      0,
      0.0257,
      0.1839,
      0.1281,
      0.0336,
      0.2276,
      0.2385,
      0.0769,
      0.5447,
      0.2672,
      0.1102,
      0.144,
      0.2071,
      0,
      0.0719,
      0.1676,
      0.1088,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2898,
      0.2604,
      0.2412,
      0.234,
      0.1645,
      0.2289,
      0.0138,
      0.3077,
      0.0169,
      0.1123,
      0.3909,
      0.2218,
      0.33,
      0.2157,
      0.204,
      0.103,
      0.2644,
      0.2615,
      0.1277,
      0.141,
      0.1763,
      0.2663,
      0.2652,
      0.2331,
      0.4479,
      0.1157,
      0.125,
      0.1593,
      0.1663,
      0.4506,
      0.2306,
      0.4486,
      0.2031,
      0.1165,
      0.3995,
      0.564,
      0.2182,
      0.4346,
      0.3308,
      0.1855,
      0.2248,
      0.4407,
      0.243,
      0.4309,
      0.1905,
      0.1767,
      0.2353,
      0.2544,
      0,
      0.5852,
      0.2761,
      0.1267,
      0.4807,
      0.2329,
      0.2191,
      0.0941,
      0.4585,
      0.3991,
      0.47,
      0.329,
      0.4368,
      0.394,
      0.1171,
      0.4836,
      0.3409,
      0.0009,
      0.6071,
      0.1755,
      0.0221,
      0.3145,
      0.3192,
      0.0001,
      0.4042,
      0.4362,
      0.4482,
      0.3679,
      0.2573,
      0.3849,
      0.5505,
      0.4359,
      0.5632,
      0.412,
      0.4481,
      0.3867,
      0.2588,
      0.1806,
      0,
      0.1588,
      0.2943,
      0.2058,
      0.2171,
      0.3835,
      0.2997,
      0.2215,
      0.538,
      0.0877,
      0.1737,
      0.3709,
      0.3528,
      0.3504,
      0.1556,
      0.3009,
      0.2597,
      0.2192,
      0.2871,
      0.2226,
      0.4231,
      0.1077,
      0.4457,
      0.3158,
      0.1284,
      0.5244,
      0.1056,
      0.251,
      0.0296,
      0.4143,
      0.1955,
      0.1349,
      0.151,
      0.4036,
      0.4232,
      0.3719,
      0.3791,
      0.304,
      0.3403,
      0.4794,
      0.1155,
      0.1816,
      0.2588,
      0.1907,
      0.3924,
      0.1633,
      0.3797,
      0.2332,
      0.3594,
      0.337,
      0.3464,
      0.2825,
      0.3475,
      0.5676,
      0.3034,
      0.3062,
      0.3501,
      0.2117,
      0.2897,
      0.1586,
      0.2601,
      0.309,
      0.2868,
      0.2129,
      0.4413,
      0.3679,
      0.0729,
      0.5345,
      0.4038,
      0,
      0.2903,
      0.3425,
      0.0867,
      0.0717,
      0.443,
      0.0879,
      0.3089,
      0.2492,
      0.2622,
      0.4365,
      0.0451,
      0.584,
      0.2373,
      0.4134,
      0.3738,
      0.2193,
      0.3274,
      0.3125,
      0.1531,
      0.3574,
      0.4189,
      0.1266,
      0.3865,
      0.389,
      0.2735,
      0.4671,
      0.3604,
      0.1169,
      0.5125,
      0.1504,
      0.1587,
      0.1876,
      0.2983,
      0.4007,
      0.4426,
      0.3905,
      0.2163,
      0.4127,
      0.3584,
      0.4691,
      0.2516,
      0.3753,
      0.553,
      0.2834,
      0.2559,
      0.0501,
      0.3582,
      0.104,
      0.113,
      0.1546,
      0.4113,
      0.311,
      0.349,
      0.4295,
      0.3492,
      0.3405,
      0.512,
      0.1664,
      0.2048,
      0.2818,
      0.2342,
      0.4242,
      0.1068,
      0.4479,
      0.3552,
      0.4097,
      0.1273,
      0.425,
      0.0872,
      0.1064,
      0.4793,
      0.2866,
      0.3493,
      0.2172,
      0.2483,
      0.3379,
      0.1595,
      0.2774,
      0.2297,
      0.2105,
      0.3628,
      0.4271,
      0.2434,
      0.2642,
      0.5582,
      0.2975,
      0.4251,
      0.3534,
      0.2515,
      0.3303,
      0.1578,
      0,
      0.3827,
      0.2479,
      0.2693,
      0.3511,
      0.4032,
      0.1304,
      0.516,
      0.3511,
      0.1532,
      0.5139,
      0.0636,
      0.0218,
      0.1794,
      0.143,
      0.4214,
      0.1606,
      0.21,
      0.4274,
      0.3258,
      0.2803,
      0.4563,
      0.1149,
      0.2302,
      0.57,
      0.2454,
      0.407,
      0.2446,
      0,
      0.2251,
      0.0447,
      0,
      0.2143,
      0.0714,
      0,
      0.3027,
      0.0888,
      0.1107,
      0.5584,
      0.1838,
      0.1231,
      0.1364,
      0.2233,
      0.0231,
      0.1161,
      0.1637,
      0.1152,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2326,
      0.1855,
      0.2702,
      0.2963,
      0.0872,
      0.1696,
      0,
      0.3706,
      0.0586,
      0.0683,
      0.3607,
      0.4762,
      0.2986,
      0.1943,
      0.2517,
      0.0744,
      0.2141,
      0.3448,
      0.1009,
      0.1859,
      0.1126,
      0.1611,
      0.2378,
      0.2373,
      0.2808,
      0.1181,
      0.0345,
      0.0683,
      0.1929,
      0.4163,
      0.2895,
      0.4138,
      0.2698,
      0.0829,
      0.4204,
      0.6133,
      0.1048,
      0.2104,
      0.302,
      0.1933,
      0.2785,
      0.4501,
      0.2727,
      0.3363,
      0.2213,
      0.3514,
      0.1905,
      0.1616,
      0,
      0.6085,
      0.3036,
      0.1066,
      0.4735,
      0.2211,
      0.1673,
      0.1299,
      0.4719,
      0.4466,
      0.4257,
      0.4305,
      0.5043,
      0.4883,
      0,
      0.5502,
      0.4002,
      0.0614,
      0.5253,
      0.0539,
      0.153,
      0.3676,
      0.3598,
      0.1136,
      0.4828,
      0.5833,
      0.4266,
      0.3288,
      0.1789,
      0.4329,
      0.3694,
      0.329,
      0.5911,
      0.4781,
      0.3064,
      0.404,
      0.2548,
      0.39,
      0,
      0.1951,
      0.3423,
      0.2569,
      0.154,
      0.4174,
      0.4153,
      0.079,
      0.621,
      0.1025,
      0.2869,
      0.3925,
      0.3677,
      0.4614,
      0.1172,
      0.3661,
      0.2608,
      0.2503,
      0.2609,
      0.2277,
      0.4495,
      0.1213,
      0.6278,
      0.3014,
      0.206,
      0.4818,
      0.038,
      0.2319,
      0.251,
      0.4074,
      0.2732,
      0.0641,
      0.3178,
      0.423,
      0.4388,
      0.2996,
      0.4013,
      0.321,
      0.3529,
      0.4654,
      0.1172,
      0.1591,
      0.3656,
      0.2284,
      0.3303,
      0.1312,
      0.4087,
      0.1866,
      0.3995,
      0.3398,
      0.3259,
      0.2322,
      0.2795,
      0.5604,
      0.2942,
      0.4219,
      0.3998,
      0.203,
      0.4621,
      0.107,
      0.3476,
      0.3971,
      0.2929,
      0.3368,
      0.4404,
      0.4765,
      0.1276,
      0.5865,
      0.5373,
      0.1409,
      0.513,
      0.3144,
      0.147,
      0.1053,
      0.4501,
      0.1053,
      0.2559,
      0.1773,
      0.2447,
      0.4441,
      0.0166,
      0.5968,
      0.2513,
      0.5478,
      0.3926,
      0.3033,
      0.4047,
      0.2701,
      0.1147,
      0.2993,
      0.5051,
      0.1334,
      0.4021,
      0.4769,
      0.4633,
      0.6249,
      0.4679,
      0.1798,
      0.4931,
      0.2495,
      0.1376,
      0.2198,
      0.2756,
      0.356,
      0.4398,
      0.4398,
      0.1897,
      0.4351,
      0.3175,
      0.558,
      0.2616,
      0.3491,
      0.5446,
      0.3436,
      0.1744,
      0.0528,
      0.2903,
      0.2226,
      0.0413,
      0.122,
      0.4307,
      0.3915,
      0.2179,
      0.4247,
      0.2747,
      0.4381,
      0.6135,
      0.0935,
      0.0878,
      0.2663,
      0.225,
      0.4092,
      0.0705,
      0.4159,
      0.2982,
      0.295,
      0.2004,
      0.4344,
      0.1164,
      0.188,
      0.6456,
      0.3499,
      0.3562,
      0.423,
      0.2615,
      0.4455,
      0.146,
      0.3857,
      0.1399,
      0.1908,
      0.3787,
      0.4447,
      0.3129,
      0.2929,
      0.6012,
      0.2762,
      0.416,
      0.374,
      0.3638,
      0.1968,
      0.1192,
      0,
      0.3637,
      0.2673,
      0.2816,
      0.3552,
      0.4217,
      0.1553,
      0.5173,
      0.3261,
      0.0905,
      0.4973,
      0.1006,
      0.027,
      0.1851,
      0.1935,
      0.5052,
      0.1432,
      0.2918,
      0.4559,
      0.3935,
      0.2436,
      0.5044,
      0.1446,
      0.2476,
      0.5776,
      0.2424,
      0.4678,
      0.0929,
      0.0636,
      0.252,
      0.2135,
      0.0173,
      0.2517,
      0.0031,
      0.0111,
      0.2721,
      0.013,
      0.1496,
      0.588,
      0.2207,
      0.173,
      0.136,
      0.2623,
      0.0586,
      0.1464,
      0.1365,
      0.1102,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2405,
      0.1529,
      0.2647,
      0.2752,
      0.1383,
      0.2021,
      0.1536,
      0.1564,
      0.1312,
      0.1478,
      0.2713,
      0.4635,
      0.2294,
      0.2441,
      0.1865,
      0.1994,
      0.0996,
      0.3407,
      0.0633,
      0.2246,
      0.1445,
      0.218,
      0.2132,
      0.2991,
      0.2551,
      0.2543,
      0,
      0.1031,
      0.1742,
      0.19,
      0.121,
      0.2729,
      0.1558,
      0.108,
      0.3764,
      0.5092,
      0.1166,
      0.1234,
      0.1962,
      0.359,
      0.2173,
      0.3172,
      0.2754,
      0.311,
      0.2043,
      0.2698,
      0.1504,
      0.1369,
      0,
      0.5488,
      0.1882,
      0.0094,
      0.4038,
      0.2492,
      0.1964,
      0.1331,
      0.5051,
      0.4159,
      0.3537,
      0.4088,
      0.4706,
      0.3908,
      0,
      0.5097,
      0.2783,
      0,
      0.4699,
      0.0127,
      0,
      0.4187,
      0.2914,
      0,
      0.5093,
      0.3452,
      0.3509,
      0.2208,
      0.1923,
      0.4406,
      0.4177,
      0.2002,
      0.5468,
      0.3112,
      0.2155,
      0.3741,
      0.1879,
      0.1143,
      0,
      0.0918,
      0.2345,
      0.2197,
      0.2202,
      0.3294,
      0.2065,
      0.0994,
      0.5413,
      0.1704,
      0.1342,
      0.4335,
      0.3635,
      0.4226,
      0.2175,
      0.2951,
      0.1859,
      0.2065,
      0.2589,
      0.276,
      0.3098,
      0.2492,
      0.5493,
      0.2808,
      0.2092,
      0.4507,
      0.1448,
      0.318,
      0.2331,
      0.375,
      0.3471,
      0.1432,
      0.2929,
      0.317,
      0.3682,
      0.3802,
      0.4212,
      0.3498,
      0.2411,
      0.3976,
      0.1091,
      0.1742,
      0.1785,
      0.2176,
      0.123,
      0.0597,
      0.2805,
      0.2172,
      0.3162,
      0.2788,
      0.3587,
      0.1629,
      0.3684,
      0.4877,
      0.2196,
      0.3536,
      0.2593,
      0.2307,
      0.427,
      0.1209,
      0.1488,
      0.3119,
      0.1295,
      0.2447,
      0.4485,
      0.2661,
      0.1893,
      0.4951,
      0.1501,
      0.0491,
      0.4144,
      0.3898,
      0.0671,
      0.143,
      0.4079,
      0.0724,
      0.2899,
      0.2012,
      0.254,
      0.3575,
      0.0525,
      0.5487,
      0.3223,
      0.3768,
      0.3582,
      0.364,
      0.4387,
      0.1633,
      0.2391,
      0.2427,
      0.1453,
      0.1336,
      0.2813,
      0.3201,
      0.3607,
      0.5629,
      0.4193,
      0.0948,
      0.4072,
      0.0239,
      0.1804,
      0.3021,
      0.1784,
      0.2803,
      0.3203,
      0.3311,
      0.1088,
      0.364,
      0.3647,
      0.5295,
      0,
      0.3993,
      0.5132,
      0.2928,
      0.2077,
      0.0894,
      0.3602,
      0.2373,
      0.0792,
      0.1877,
      0.3429,
      0.3098,
      0.1841,
      0.3882,
      0.2811,
      0.457,
      0.525,
      0.1339,
      0.0851,
      0.2623,
      0.2407,
      0.2795,
      0.1003,
      0.3435,
      0.3248,
      0.3237,
      0.247,
      0.3532,
      0.0816,
      0.3218,
      0.5531,
      0.326,
      0.2967,
      0.2227,
      0.3205,
      0.4017,
      0.1425,
      0.1636,
      0.1291,
      0.2566,
      0.3395,
      0.2699,
      0.4004,
      0.1732,
      0.5483,
      0.2217,
      0.4336,
      0.2948,
      0.2123,
      0.248,
      0.1112,
      0,
      0.3187,
      0.2412,
      0.2214,
      0.3303,
      0.3144,
      0.1653,
      0.5063,
      0.2376,
      0.1399,
      0.4378,
      0.2408,
      0.095,
      0.1876,
      0.2103,
      0.4013,
      0.1317,
      0.3395,
      0.373,
      0.3016,
      0.3311,
      0.5035,
      0.154,
      0.198,
      0.4817,
      0.1444,
      0.3771,
      0.0235,
      0,
      0.1915,
      0.0629,
      0.0266,
      0.1979,
      0.0334,
      0.0102,
      0.304,
      0.0313,
      0.1484,
      0.544,
      0.1089,
      0.0537,
      0.129,
      0.1805,
      0.1336,
      0.0977,
      0.2128,
      0.1195,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3023,
      0.2135,
      0.1466,
      0.2407,
      0.0863,
      0.2239,
      0.1263,
      0.0916,
      0.1051,
      0.0383,
      0.1155,
      0.402,
      0.2348,
      0.1251,
      0.2778,
      0.2886,
      0.1525,
      0.3622,
      0.0611,
      0.203,
      0.1275,
      0.1676,
      0.1655,
      0.2473,
      0.2135,
      0.2194,
      0.0715,
      0.2683,
      0.1672,
      0.2169,
      0.2028,
      0.1554,
      0.1998,
      0.1398,
      0.1397,
      0.5127,
      0.1334,
      0.1485,
      0.3102,
      0.4748,
      0.3088,
      0.1677,
      0.2952,
      0.2583,
      0.2402,
      0.1918,
      0.2058,
      0.1614,
      0.0348,
      0.4876,
      0.2707,
      0.092,
      0.4814,
      0.2544,
      0.157,
      0.1133,
      0.3808,
      0.4278,
      0.2726,
      0.3077,
      0.3539,
      0.3189,
      0,
      0.4396,
      0.2465,
      0,
      0.5249,
      0.0791,
      0,
      0.284,
      0.3396,
      0,
      0.4018,
      0.3485,
      0.3168,
      0.1953,
      0.2293,
      0.332,
      0.3762,
      0.1277,
      0.4802,
      0.2541,
      0.1308,
      0.2262,
      0.2436,
      0.1035,
      0,
      0.1879,
      0.1219,
      0.2057,
      0.204,
      0.3371,
      0.1527,
      0.1251,
      0.4221,
      0.1935,
      0.1599,
      0.3952,
      0.3825,
      0.3775,
      0.1946,
      0.2889,
      0.2412,
      0.1671,
      0.3168,
      0.1642,
      0.3811,
      0.2194,
      0.4627,
      0.2985,
      0.1864,
      0.4921,
      0.0553,
      0.2088,
      0.2487,
      0.3017,
      0.3849,
      0.1242,
      0.3063,
      0.3517,
      0.3395,
      0.3601,
      0.4372,
      0.2802,
      0.23,
      0.4704,
      0.079,
      0.238,
      0.1319,
      0.1724,
      0.1864,
      0.1434,
      0.3668,
      0.2296,
      0.2673,
      0.1665,
      0.2995,
      0.2129,
      0.401,
      0.5284,
      0.2305,
      0.3499,
      0.1519,
      0.2618,
      0.2996,
      0.0783,
      0.1173,
      0.2971,
      0.1176,
      0.2419,
      0.4304,
      0.362,
      0.0419,
      0.4818,
      0.0532,
      0.0606,
      0.313,
      0.243,
      0,
      0.027,
      0.2855,
      0.0636,
      0.2693,
      0.1584,
      0.2063,
      0.3704,
      0.0324,
      0.4657,
      0.2249,
      0.3446,
      0.4091,
      0.2441,
      0.4001,
      0.2982,
      0.236,
      0.2366,
      0.0614,
      0.0911,
      0.3755,
      0.3786,
      0.3888,
      0.4517,
      0.3228,
      0.058,
      0.4951,
      0.0375,
      0.1044,
      0.3217,
      0.2213,
      0.2566,
      0.3058,
      0.3622,
      0.1503,
      0.3028,
      0.2788,
      0.4068,
      0.0985,
      0.3666,
      0.4927,
      0.1638,
      0.2371,
      0.0831,
      0.3747,
      0.0888,
      0.1667,
      0.2362,
      0.341,
      0.2755,
      0.2492,
      0.3857,
      0.2667,
      0.2526,
      0.4158,
      0.0729,
      0.1795,
      0.2952,
      0.2746,
      0.2295,
      0.0492,
      0.3317,
      0.2236,
      0.406,
      0.2475,
      0.3771,
      0.2772,
      0.4007,
      0.5318,
      0.2965,
      0.1819,
      0.2374,
      0.2108,
      0.2785,
      0.1987,
      0.1683,
      0.1189,
      0.2673,
      0.1729,
      0.2566,
      0.5354,
      0.1482,
      0.5081,
      0.2842,
      0.4117,
      0.3763,
      0.1362,
      0.191,
      0.0152,
      0,
      0.2604,
      0.2492,
      0.2902,
      0.4526,
      0.3146,
      0.0577,
      0.4878,
      0.2977,
      0.111,
      0.5166,
      0.1605,
      0.0232,
      0.2734,
      0.207,
      0.3276,
      0.0849,
      0.3629,
      0.3898,
      0.2622,
      0.3612,
      0.4353,
      0.1216,
      0.1711,
      0.5413,
      0.1582,
      0.3082,
      0.1485,
      0.0878,
      0.0755,
      0.07,
      0.0851,
      0.1008,
      0.2129,
      0.0753,
      0.3135,
      0,
      0.1204,
      0.4754,
      0.1006,
      0.0873,
      0.1421,
      0.2085,
      0.0413,
      0.0844,
      0.186,
      0.1107,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2647,
      0.3236,
      0.2659,
      0.276,
      0.0863,
      0.2603,
      0,
      0.0826,
      0.0597,
      0.1078,
      0.2039,
      0.236,
      0.1914,
      0.2172,
      0.2908,
      0.2854,
      0.1352,
      0.3317,
      0.0705,
      0.2135,
      0.0869,
      0.2419,
      0.2208,
      0.1649,
      0.1675,
      0.1787,
      0.0043,
      0.3265,
      0.1275,
      0.0983,
      0.2266,
      0.2049,
      0.1988,
      0.1071,
      0.1668,
      0.5644,
      0.132,
      0.1494,
      0.3122,
      0.5168,
      0.2332,
      0.1966,
      0.2331,
      0.223,
      0.2269,
      0.1929,
      0.1183,
      0.2341,
      0.0096,
      0.6058,
      0.3152,
      0.1005,
      0.4254,
      0.209,
      0.2029,
      0.1325,
      0.4812,
      0.3669,
      0.289,
      0.2985,
      0.4389,
      0.3858,
      0,
      0.3991,
      0.1987,
      0,
      0.4576,
      0.099,
      0.0369,
      0.2505,
      0.3836,
      0,
      0.3869,
      0.4036,
      0.4006,
      0.2325,
      0.2136,
      0.4009,
      0.3973,
      0.1142,
      0.5877,
      0.2288,
      0.2101,
      0.2411,
      0.1899,
      0.0898,
      0,
      0.1969,
      0.0773,
      0.1725,
      0.1919,
      0.3679,
      0.2478,
      0.0612,
      0.577,
      0.2435,
      0.2013,
      0.3554,
      0.3958,
      0.3734,
      0.2941,
      0.3698,
      0.2695,
      0.2278,
      0.2412,
      0.1518,
      0.4291,
      0.1404,
      0.5445,
      0.4092,
      0.0247,
      0.438,
      0.045,
      0.2525,
      0.2079,
      0.3431,
      0.2292,
      0.1507,
      0.2312,
      0.4203,
      0.4452,
      0.3378,
      0.4918,
      0.281,
      0.3501,
      0.4097,
      0.0273,
      0.188,
      0.1686,
      0.1901,
      0.159,
      0.1757,
      0.3782,
      0.1823,
      0.3819,
      0.1224,
      0.3337,
      0.3011,
      0.209,
      0.4933,
      0.1309,
      0.3661,
      0.115,
      0.207,
      0.1958,
      0.3803,
      0.136,
      0.3493,
      0.132,
      0.2864,
      0.4184,
      0.3537,
      0,
      0.5772,
      0.1216,
      0,
      0.2873,
      0.352,
      0,
      0.0192,
      0.4517,
      0.0136,
      0.2091,
      0.1963,
      0.2853,
      0.435,
      0.0313,
      0.6024,
      0.2068,
      0.2329,
      0.3838,
      0.1744,
      0.3772,
      0.3377,
      0.1832,
      0.2304,
      0.1366,
      0.0668,
      0.3609,
      0.436,
      0.3578,
      0.5618,
      0.3196,
      0.0945,
      0.4443,
      0.0764,
      0.0755,
      0.2044,
      0.2498,
      0.1478,
      0.3391,
      0.3764,
      0.094,
      0.4363,
      0.2397,
      0.4824,
      0.1105,
      0.3218,
      0.5477,
      0.0969,
      0.2746,
      0.1638,
      0.3997,
      0.07,
      0.141,
      0.2421,
      0.4354,
      0.3856,
      0.2023,
      0.3546,
      0.2709,
      0.187,
      0.5848,
      0.0732,
      0.2127,
      0.2584,
      0.2147,
      0.2447,
      0.0698,
      0.4172,
      0.3293,
      0.3139,
      0.3047,
      0.4634,
      0.2917,
      0.2553,
      0.5854,
      0.1944,
      0.3036,
      0.1784,
      0.0385,
      0.221,
      0.3956,
      0.187,
      0.2138,
      0.2134,
      0.2161,
      0.3573,
      0.3354,
      0.2149,
      0.5627,
      0.4346,
      0.3254,
      0.3503,
      0.222,
      0.1886,
      0.2298,
      0,
      0.4056,
      0.2532,
      0.2549,
      0.4391,
      0.429,
      0.1352,
      0.583,
      0.212,
      0.156,
      0.4561,
      0.2821,
      0.0207,
      0.2063,
      0.2345,
      0.28,
      0.0678,
      0.3582,
      0.4393,
      0.3457,
      0.3358,
      0.4976,
      0.1704,
      0.192,
      0.5353,
      0.2209,
      0.3288,
      0.1331,
      0.0052,
      0.2029,
      0.0647,
      0.0832,
      0.2573,
      0.181,
      0.0524,
      0.3028,
      0.0215,
      0.0806,
      0.6007,
      0.1268,
      0.1676,
      0.1564,
      0.1462,
      0.0669,
      0.08,
      0.0901,
      0.1216,
      0.0205,
      0,
      0,
      0,
      0,
      0,
      0.3149,
      0.2475,
      0.2183,
      0.2209,
      0.1736,
      0.1933,
      0.0178,
      0.0931,
      0.0912,
      0.1298,
      0.2051,
      0.229,
      0.191,
      0.262,
      0.24,
      0.4315,
      0.1281,
      0.3518,
      0.1062,
      0.2175,
      0.1179,
      0.3544,
      0.3477,
      0.1942,
      0.2096,
      0.1344,
      0.0753,
      0.2272,
      0.1607,
      0.1398,
      0.2682,
      0.1196,
      0.2824,
      0.1764,
      0.1793,
      0.5371,
      0.1334,
      0.1183,
      0.3076,
      0.3883,
      0.2571,
      0.2062,
      0.2916,
      0.2905,
      0.2955,
      0.2128,
      0.1933,
      0.2582,
      0.0058,
      0.5545,
      0.3704,
      0.219,
      0.4407,
      0.2111,
      0.1809,
      0.2036,
      0.4913,
      0.3292,
      0.2359,
      0.2986,
      0.4883,
      0.3728,
      0,
      0.4031,
      0.2098,
      0,
      0.5138,
      0.1335,
      0.0115,
      0.2932,
      0.4128,
      0,
      0.4008,
      0.4774,
      0.3311,
      0.2869,
      0.2951,
      0.3381,
      0.4455,
      0.1684,
      0.5109,
      0.2911,
      0.306,
      0.2028,
      0.2527,
      0.1063,
      0,
      0.1779,
      0.1252,
      0.2789,
      0.135,
      0.3746,
      0.25,
      0.0734,
      0.498,
      0.2795,
      0.1986,
      0.3379,
      0.4623,
      0.3754,
      0.4016,
      0.4051,
      0.2193,
      0.1617,
      0.3384,
      0.1768,
      0.4869,
      0.1547,
      0.4783,
      0.271,
      0.1158,
      0.4721,
      0.0948,
      0.3492,
      0.1585,
      0.272,
      0.1729,
      0.1239,
      0.2757,
      0.4574,
      0.4398,
      0.3547,
      0.4465,
      0.2617,
      0.2811,
      0.4278,
      0.009,
      0.1678,
      0.1783,
      0.1855,
      0.1456,
      0.3448,
      0.4272,
      0.2133,
      0.3923,
      0.1566,
      0.3196,
      0.2882,
      0.1752,
      0.5188,
      0.1924,
      0.4353,
      0.1749,
      0.2631,
      0.2767,
      0.5037,
      0.1779,
      0.3736,
      0.2509,
      0.1807,
      0.3644,
      0.4234,
      0,
      0.4842,
      0.1159,
      0,
      0.286,
      0.3547,
      0.0859,
      0.0607,
      0.4355,
      0.0413,
      0.2632,
      0.1912,
      0.2909,
      0.4772,
      0.0856,
      0.5235,
      0.2107,
      0.2437,
      0.3862,
      0.1432,
      0.3194,
      0.3128,
      0.1841,
      0.3242,
      0.1674,
      0.1007,
      0.4235,
      0.4722,
      0.3495,
      0.5034,
      0.3993,
      0.1403,
      0.4637,
      0.1173,
      0.0966,
      0.1737,
      0.1952,
      0.147,
      0.2521,
      0.4384,
      0.1119,
      0.4522,
      0.3321,
      0.4343,
      0.1382,
      0.3651,
      0.5123,
      0.0964,
      0.2687,
      0.2025,
      0.3243,
      0.0881,
      0.1412,
      0.3095,
      0.4324,
      0.3657,
      0.1547,
      0.3311,
      0.2778,
      0.2201,
      0.4997,
      0.0925,
      0.231,
      0.2668,
      0.2376,
      0.2112,
      0.1471,
      0.4251,
      0.2438,
      0.2248,
      0.303,
      0.3498,
      0.2438,
      0.1137,
      0.5296,
      0.2003,
      0.4123,
      0.0894,
      0.2585,
      0.2134,
      0.5076,
      0.2875,
      0.3938,
      0.2525,
      0.1925,
      0.3285,
      0.2345,
      0.2789,
      0.5309,
      0.4844,
      0.2826,
      0.3543,
      0.2249,
      0.2459,
      0.3053,
      0,
      0.3787,
      0.2363,
      0.2896,
      0.2358,
      0.4241,
      0.1481,
      0.5369,
      0.171,
      0.1696,
      0.4866,
      0.2681,
      0,
      0.2201,
      0.2115,
      0.2796,
      0.1306,
      0.3866,
      0.464,
      0.3443,
      0.4232,
      0.4277,
      0.198,
      0.2291,
      0.5158,
      0.1583,
      0.3706,
      0.063,
      0,
      0.2936,
      0.1024,
      0.0556,
      0.2727,
      0.1761,
      0.0305,
      0.2816,
      0.1376,
      0.1045,
      0.5374,
      0.1467,
      0.0868,
      0.1464,
      0.192,
      0.1205,
      0.0888,
      0.0441,
      0.1638,
      0.0131,
      0,
      0,
      0,
      0,
      0,
      0.3322,
      0.3395,
      0.1996,
      0.2621,
      0.1042,
      0.1898,
      0.0288,
      0.1591,
      0,
      0.2861,
      0.3214,
      0.2177,
      0.2502,
      0.3405,
      0.2175,
      0.3896,
      0.1932,
      0.2437,
      0.1866,
      0.2037,
      0.2268,
      0.3658,
      0.3273,
      0.1966,
      0.2086,
      0.1433,
      0.2575,
      0.2462,
      0.1505,
      0.1959,
      0.1807,
      0.2646,
      0.3346,
      0.1569,
      0.1045,
      0.5741,
      0.1711,
      0.3761,
      0.4479,
      0.1516,
      0.2969,
      0.4344,
      0.2737,
      0.3938,
      0.4668,
      0.4446,
      0.5288,
      0.4706,
      0.1969,
      0.5347,
      0.3876,
      0.2732,
      0.3803,
      0.2631,
      0.2446,
      0.2013,
      0.4617,
      0.3614,
      0.3012,
      0.291,
      0.5262,
      0.3872,
      0,
      0.3548,
      0.2299,
      0,
      0.4519,
      0.493,
      0.0333,
      0.3216,
      0.3931,
      0,
      0.369,
      0.5128,
      0.3516,
      0.4216,
      0.3424,
      0.369,
      0.5229,
      0.3337,
      0.5259,
      0.3921,
      0.5243,
      0.1677,
      0.2824,
      0.0938,
      0,
      0.1921,
      0.3422,
      0.3278,
      0.2034,
      0.3415,
      0.2428,
      0.3196,
      0.5454,
      0.2033,
      0.4523,
      0.3346,
      0.4467,
      0.3352,
      0.3539,
      0.3613,
      0.2876,
      0.1492,
      0.3407,
      0.2012,
      0.5014,
      0.1643,
      0.5112,
      0.1848,
      0.1732,
      0.4434,
      0.1333,
      0.4192,
      0.2598,
      0.2959,
      0.1937,
      0.1128,
      0.2345,
      0.4977,
      0.4739,
      0.3769,
      0.4837,
      0.2596,
      0.2624,
      0.3939,
      0.1253,
      0.1332,
      0.2329,
      0.1603,
      0.103,
      0.3232,
      0.4484,
      0.2276,
      0.3615,
      0.2833,
      0.3672,
      0.283,
      0.2962,
      0.4774,
      0.4513,
      0.2111,
      0.1605,
      0.2627,
      0.4455,
      0.1687,
      0.2981,
      0.4895,
      0.2951,
      0.4218,
      0.4048,
      0.454,
      0,
      0.5171,
      0.0966,
      0,
      0.2276,
      0.4723,
      0.1415,
      0.2052,
      0.4319,
      0,
      0.4597,
      0.1542,
      0.2303,
      0.4914,
      0.0949,
      0.4984,
      0.231,
      0.2102,
      0.446,
      0.1425,
      0.3375,
      0.3313,
      0.2378,
      0.5066,
      0.2932,
      0.1164,
      0.4826,
      0.5078,
      0.267,
      0.5458,
      0.4076,
      0.2651,
      0.3952,
      0,
      0.1854,
      0.4664,
      0.4813,
      0.1909,
      0.1993,
      0.4676,
      0.0181,
      0.4836,
      0.5035,
      0.5118,
      0.3924,
      0.5393,
      0.527,
      0.3436,
      0.2821,
      0.1954,
      0.3164,
      0.168,
      0.0491,
      0.2773,
      0.4639,
      0.3898,
      0.1497,
      0.365,
      0.2737,
      0.2352,
      0.5654,
      0.0376,
      0.3314,
      0.2567,
      0.2286,
      0.2131,
      0.1024,
      0.4621,
      0.3811,
      0.2899,
      0.3278,
      0.351,
      0.2304,
      0.285,
      0.5498,
      0.4557,
      0.1888,
      0.1283,
      0.2003,
      0.4155,
      0.2555,
      0.2908,
      0.5261,
      0.3533,
      0.3764,
      0.4303,
      0.3414,
      0.1976,
      0.5566,
      0.3229,
      0.4199,
      0.4443,
      0.3232,
      0.3805,
      0.4969,
      0.1773,
      0.3345,
      0.2764,
      0.2986,
      0.2322,
      0.4499,
      0.0736,
      0.5206,
      0.2097,
      0.0856,
      0.4091,
      0.1026,
      0.0318,
      0.3017,
      0.1671,
      0.191,
      0.1602,
      0.2693,
      0.5097,
      0.3629,
      0.3881,
      0.474,
      0.3141,
      0.231,
      0.4876,
      0.2192,
      0.4377,
      0.168,
      0.0481,
      0.3695,
      0.219,
      0.1321,
      0.2855,
      0.0895,
      0.1164,
      0.3113,
      0.2322,
      0.1448,
      0.5328,
      0.2055,
      0.0375,
      0.1375,
      0.1752,
      0.2163,
      0.1603,
      0.0439,
      0.2374,
      0.0443,
      0,
      0,
      0,
      0,
      0,
      0.338,
      0.315,
      0.2436,
      0.2785,
      0.1755,
      0.1883,
      0.0895,
      0.274,
      0.0394,
      0.2482,
      0.3773,
      0.2076,
      0.2742,
      0.4538,
      0.2389,
      0.3777,
      0.2275,
      0.3889,
      0.1602,
      0.1821,
      0.3106,
      0.3559,
      0.3584,
      0.2915,
      0.2732,
      0.1768,
      0.3018,
      0.1869,
      0.1596,
      0.183,
      0.2966,
      0.2873,
      0.3821,
      0.1456,
      0.3047,
      0.5042,
      0.1692,
      0.394,
      0.4127,
      0.2837,
      0.3196,
      0.2533,
      0.2785,
      0.4601,
      0.328,
      0.3268,
      0.436,
      0.37,
      0.0702,
      0.527,
      0.3821,
      0.2262,
      0.4169,
      0.1772,
      0.1144,
      0.2056,
      0.4269,
      0.3965,
      0.3464,
      0.3162,
      0.4238,
      0.4019,
      0,
      0.4125,
      0.2768,
      0,
      0.5255,
      0.377,
      0.103,
      0.325,
      0.372,
      0,
      0.3397,
      0.4546,
      0.3053,
      0.4502,
      0.2811,
      0.3866,
      0.5333,
      0.2758,
      0.4904,
      0.3344,
      0.495,
      0.198,
      0.2539,
      0.1126,
      0,
      0.191,
      0.2576,
      0.3295,
      0.1139,
      0.3205,
      0.3254,
      0.2123,
      0.4527,
      0.1209,
      0.222,
      0.3722,
      0.4381,
      0.3742,
      0.2707,
      0.3327,
      0.2731,
      0.2115,
      0.4184,
      0.1395,
      0.4181,
      0.2067,
      0.4714,
      0.2133,
      0.067,
      0.4588,
      0.1504,
      0.4021,
      0.3701,
      0.4015,
      0.274,
      0.1108,
      0.2227,
      0.4105,
      0.4169,
      0.3362,
      0.5084,
      0.2187,
      0.2905,
      0.4131,
      0.1436,
      0.3585,
      0.4136,
      0.2584,
      0.2069,
      0.1215,
      0.3975,
      0.277,
      0.437,
      0.2716,
      0.3809,
      0.3282,
      0.3152,
      0.4492,
      0.3499,
      0.2926,
      0.2073,
      0.2283,
      0.3753,
      0.2162,
      0.2665,
      0.3787,
      0.2186,
      0.3497,
      0.3767,
      0.3977,
      0,
      0.4977,
      0.1092,
      0,
      0.2252,
      0.2694,
      0.0672,
      0.1952,
      0.4166,
      0.0273,
      0.4205,
      0.185,
      0.3449,
      0.4217,
      0.0227,
      0.4709,
      0.2575,
      0.3822,
      0.3628,
      0.1552,
      0.3715,
      0.1801,
      0.2483,
      0.3019,
      0.195,
      0.0782,
      0.3889,
      0.4263,
      0.3356,
      0.4839,
      0.3967,
      0.1621,
      0.424,
      0.1005,
      0.1991,
      0.348,
      0.4083,
      0.1427,
      0.1827,
      0.432,
      0.1745,
      0.4129,
      0.4137,
      0.4582,
      0.2386,
      0.4249,
      0.4853,
      0.292,
      0.2676,
      0.1378,
      0.349,
      0.1187,
      0.0787,
      0.2136,
      0.4025,
      0.3612,
      0.3015,
      0.3242,
      0.3082,
      0.2441,
      0.543,
      0.0639,
      0.2878,
      0.3105,
      0.2539,
      0.2267,
      0.0571,
      0.4216,
      0.385,
      0.3166,
      0.2982,
      0.3403,
      0.1616,
      0.3436,
      0.4881,
      0.374,
      0.2912,
      0.2661,
      0.1932,
      0.3915,
      0.185,
      0.2642,
      0.4266,
      0.3233,
      0.2731,
      0.4745,
      0.2896,
      0.3519,
      0.4998,
      0.3361,
      0.4289,
      0.4721,
      0.2929,
      0.329,
      0.3723,
      0.0044,
      0.3515,
      0.2896,
      0.3102,
      0.1979,
      0.3785,
      0.029,
      0.5239,
      0.1974,
      0,
      0.4337,
      0.2684,
      0.0464,
      0.2076,
      0.2045,
      0.1739,
      0.201,
      0.1678,
      0.4739,
      0.3317,
      0.4031,
      0.4819,
      0.34,
      0.2678,
      0.5074,
      0.2293,
      0.2769,
      0.1594,
      0.0861,
      0.2208,
      0.1329,
      0.0978,
      0.2906,
      0.0416,
      0.0789,
      0.3193,
      0.1567,
      0.2029,
      0.5227,
      0.0552,
      0.1117,
      0.128,
      0.142,
      0.1502,
      0,
      0.1629,
      0.0195,
      0.0207,
      0,
      0,
      0,
      0,
      0,
      0.3385,
      0.1175,
      0.2517,
      0.2844,
      0.206,
      0.1211,
      0.0431,
      0.3991,
      0.0759,
      0.1956,
      0.2476,
      0.1952,
      0.2699,
      0.1921,
      0.2269,
      0.284,
      0.2106,
      0.3953,
      0.1564,
      0.3997,
      0.357,
      0.2179,
      0.3171,
      0.255,
      0.2517,
      0.0983,
      0.1533,
      0.1422,
      0.2513,
      0.3031,
      0.292,
      0.424,
      0.3225,
      0.1206,
      0.3341,
      0.5351,
      0.1939,
      0.3114,
      0.2949,
      0.2889,
      0.4476,
      0.4108,
      0.3485,
      0.4159,
      0.2002,
      0.3135,
      0.1631,
      0.245,
      0.0847,
      0.5229,
      0.346,
      0.2556,
      0.43,
      0.4424,
      0.1825,
      0.2001,
      0.4337,
      0.5071,
      0.2715,
      0.3723,
      0.4129,
      0.3875,
      0,
      0.3714,
      0.2132,
      0,
      0.5085,
      0,
      0.1083,
      0.2819,
      0.3855,
      0.0922,
      0.345,
      0.3901,
      0.3756,
      0.2159,
      0.2289,
      0.4108,
      0.3486,
      0.238,
      0.5437,
      0.3872,
      0.3638,
      0.2283,
      0.2436,
      0.1362,
      0,
      0.1831,
      0.1653,
      0.3068,
      0.1324,
      0.3357,
      0.347,
      0.0817,
      0.5071,
      0.0895,
      0.2207,
      0.3309,
      0.4872,
      0.3855,
      0.2384,
      0.3037,
      0.2893,
      0.2268,
      0.2722,
      0.187,
      0.4097,
      0.3517,
      0.5003,
      0.2288,
      0.1439,
      0.4688,
      0.1814,
      0.3337,
      0.2514,
      0.374,
      0.2227,
      0.0777,
      0.2206,
      0.4179,
      0.4379,
      0.2171,
      0.4436,
      0.2334,
      0.3003,
      0.4212,
      0.1552,
      0.3218,
      0.3332,
      0.2628,
      0.3204,
      0.1642,
      0.3789,
      0.2741,
      0.3625,
      0.3495,
      0.3206,
      0.1764,
      0.379,
      0.5048,
      0.3316,
      0.419,
      0.5408,
      0.2568,
      0.334,
      0.2264,
      0.2769,
      0.335,
      0.2345,
      0.285,
      0.4227,
      0.3561,
      0.0727,
      0.5409,
      0.2986,
      0,
      0.1759,
      0.3248,
      0.1579,
      0.1207,
      0.4108,
      0.0245,
      0.2379,
      0.135,
      0.3126,
      0.4297,
      0.0688,
      0.3988,
      0.2474,
      0.3106,
      0.2852,
      0.1551,
      0.3638,
      0.229,
      0.1981,
      0.2538,
      0.3755,
      0.1254,
      0.3518,
      0.4198,
      0.3112,
      0.4955,
      0.3798,
      0.0759,
      0.4733,
      0.1457,
      0.1826,
      0.2099,
      0.3293,
      0.1831,
      0.2629,
      0.3635,
      0.1909,
      0.4306,
      0.4549,
      0.4668,
      0.1401,
      0.3509,
      0.5464,
      0.3522,
      0.3075,
      0,
      0.3109,
      0.2581,
      0.0346,
      0.1717,
      0.4018,
      0.3324,
      0.2481,
      0.3414,
      0.2912,
      0.4057,
      0.5546,
      0.1679,
      0.2422,
      0.2199,
      0.3272,
      0.376,
      0.0595,
      0.4427,
      0.1449,
      0.3149,
      0.2121,
      0.3656,
      0.2275,
      0.3468,
      0.4956,
      0.3366,
      0.434,
      0.5414,
      0.2143,
      0.3208,
      0.22,
      0.311,
      0.3076,
      0.2882,
      0.3552,
      0.444,
      0.2169,
      0.4656,
      0.382,
      0.2896,
      0.4381,
      0.2877,
      0.1189,
      0.2867,
      0.1673,
      0,
      0.436,
      0.2628,
      0.2137,
      0.212,
      0.3911,
      0.127,
      0.4314,
      0.3816,
      0.0237,
      0.4712,
      0.2981,
      0.0716,
      0.2345,
      0.2121,
      0.1517,
      0.1737,
      0.2402,
      0.3247,
      0.3051,
      0.4623,
      0.4477,
      0.2558,
      0.2744,
      0.5348,
      0.2613,
      0.2756,
      0.0231,
      0.0729,
      0.2074,
      0.0242,
      0.0959,
      0.2585,
      0.0146,
      0.0529,
      0.3316,
      0.0091,
      0.1455,
      0.5518,
      0.0174,
      0.2109,
      0.1283,
      0.2222,
      0.0462,
      0.0657,
      0.1427,
      0.0326,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3403,
      0.1685,
      0.2091,
      0.277,
      0.3159,
      0.1986,
      0,
      0.374,
      0.181,
      0.1244,
      0.2057,
      0.1991,
      0.331,
      0.222,
      0.22,
      0.191,
      0.2348,
      0.3734,
      0.1975,
      0.3393,
      0.2782,
      0.1909,
      0.2555,
      0.2611,
      0.1733,
      0.115,
      0.0792,
      0.2393,
      0.2526,
      0.4362,
      0.2572,
      0.5147,
      0.2857,
      0.1479,
      0.4791,
      0.501,
      0.2163,
      0.2964,
      0.3273,
      0.2964,
      0.5182,
      0.4498,
      0.382,
      0.3788,
      0.2174,
      0.4329,
      0.2217,
      0.2937,
      0.12,
      0.5825,
      0.3385,
      0.3102,
      0.4676,
      0.334,
      0.2284,
      0.17,
      0.3912,
      0.5539,
      0.2004,
      0.4023,
      0.4557,
      0.4743,
      0,
      0.4058,
      0.2664,
      0.1182,
      0.4879,
      0.0208,
      0.1365,
      0.3953,
      0.3254,
      0.2735,
      0.3823,
      0.6,
      0.3973,
      0.3263,
      0.224,
      0.4119,
      0.3069,
      0.2452,
      0.5401,
      0.5135,
      0.3986,
      0.1647,
      0.219,
      0.1756,
      0,
      0.1353,
      0.1628,
      0.2548,
      0.1153,
      0.4475,
      0.5202,
      0.118,
      0.5201,
      0.2922,
      0.2426,
      0.4209,
      0.4594,
      0.3842,
      0.249,
      0.4335,
      0.1931,
      0.2465,
      0.3244,
      0.1726,
      0.4531,
      0.3244,
      0.5358,
      0.276,
      0.1059,
      0.4937,
      0.0644,
      0.3223,
      0.0765,
      0.3119,
      0.2999,
      0.0909,
      0.3758,
      0.4767,
      0.5011,
      0.2979,
      0.5106,
      0.29,
      0.3366,
      0.4673,
      0.2362,
      0.2465,
      0.4062,
      0.29,
      0.3348,
      0.2265,
      0.4181,
      0.3718,
      0.4581,
      0.4019,
      0.445,
      0.2463,
      0.4333,
      0.4741,
      0.3525,
      0.4433,
      0.4731,
      0.3104,
      0.344,
      0.0813,
      0.5534,
      0.4295,
      0.3268,
      0.3352,
      0.4088,
      0.4647,
      0.1572,
      0.549,
      0.4788,
      0.0639,
      0.2297,
      0.394,
      0.1553,
      0.1476,
      0.4875,
      0.0618,
      0.278,
      0.1375,
      0.285,
      0.4764,
      0.0664,
      0.5107,
      0.2964,
      0.4338,
      0.3872,
      0.1711,
      0.3399,
      0.2096,
      0.0956,
      0.3304,
      0.6676,
      0.122,
      0.3715,
      0.4651,
      0.504,
      0.4882,
      0.6314,
      0.1567,
      0.496,
      0.2761,
      0.0547,
      0.2215,
      0.3328,
      0.2054,
      0.2651,
      0.5045,
      0.2284,
      0.4993,
      0.3955,
      0.491,
      0.1689,
      0.3243,
      0.538,
      0.291,
      0.2539,
      0,
      0.3881,
      0.2476,
      0.0612,
      0.191,
      0.4909,
      0.4496,
      0.2213,
      0.3731,
      0.2941,
      0.3232,
      0.5781,
      0.0515,
      0.1527,
      0.38,
      0.242,
      0.4346,
      0.1093,
      0.5383,
      0.2143,
      0.3623,
      0.2535,
      0.3886,
      0.231,
      0.314,
      0.5451,
      0.3241,
      0.4612,
      0.5205,
      0.2825,
      0.2324,
      0.2398,
      0.5362,
      0.295,
      0.3048,
      0.4631,
      0.4244,
      0.3759,
      0.3239,
      0.5478,
      0.3224,
      0.4225,
      0.3796,
      0.2665,
      0.2046,
      0.2415,
      0,
      0.4201,
      0.2487,
      0.2258,
      0.2203,
      0.4809,
      0.1606,
      0.5661,
      0.3506,
      0.1044,
      0.4764,
      0.2063,
      0.0185,
      0.2486,
      0.2967,
      0.2115,
      0.1819,
      0.1686,
      0.4987,
      0.4215,
      0.4032,
      0.5003,
      0.2182,
      0.2034,
      0.5472,
      0.1687,
      0.3522,
      0.0497,
      0.065,
      0.3456,
      0.0806,
      0.0908,
      0.2975,
      0.1079,
      0.0152,
      0.3032,
      0.0227,
      0.0784,
      0.5727,
      0.0819,
      0.0511,
      0.1576,
      0.1429,
      0.1608,
      0.0907,
      0.2244,
      0.0268,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2898,
      0.246,
      0.2175,
      0.2504,
      0.3773,
      0.2298,
      0.2029,
      0.1344,
      0.2148,
      0.0636,
      0.1367,
      0.4628,
      0.2693,
      0.1737,
      0.1611,
      0.2291,
      0.2781,
      0.4409,
      0.2636,
      0.3301,
      0.2602,
      0.1584,
      0.2334,
      0.2086,
      0.1813,
      0.2197,
      0.1685,
      0.2028,
      0.2353,
      0.3283,
      0.2129,
      0.3488,
      0.3156,
      0.1548,
      0.4087,
      0.4709,
      0.1483,
      0.2939,
      0.3338,
      0.2794,
      0.2725,
      0.4318,
      0.3337,
      0.3781,
      0.2591,
      0.2091,
      0.243,
      0.1929,
      0.1234,
      0.5688,
      0.3815,
      0.339,
      0.4924,
      0.2774,
      0.1331,
      0.1966,
      0.4959,
      0.4471,
      0.1668,
      0.5185,
      0.4629,
      0.372,
      0,
      0.4529,
      0.2911,
      0,
      0.5226,
      0.0148,
      0.1796,
      0.4844,
      0.3797,
      0,
      0.4592,
      0.5123,
      0.4126,
      0.2598,
      0.3118,
      0.3991,
      0.3652,
      0.2106,
      0.5045,
      0.3352,
      0.0603,
      0.2016,
      0.2137,
      0.1139,
      0,
      0.1369,
      0.2682,
      0.244,
      0.1332,
      0.2683,
      0.2885,
      0,
      0.507,
      0.3234,
      0.2125,
      0.4335,
      0.4959,
      0.4331,
      0.247,
      0.3828,
      0.1036,
      0.3702,
      0.3683,
      0.2189,
      0.4567,
      0.3854,
      0.4994,
      0.307,
      0.0546,
      0.5034,
      0.0715,
      0.3226,
      0.1587,
      0.4326,
      0.4386,
      0.0644,
      0.4432,
      0.4578,
      0.4514,
      0.2515,
      0.4975,
      0.3218,
      0.2861,
      0.4833,
      0.2182,
      0.1866,
      0.2856,
      0.334,
      0.1911,
      0.2444,
      0.4457,
      0.4075,
      0.3912,
      0.3168,
      0.4553,
      0.3168,
      0.3677,
      0.5357,
      0.1735,
      0.4876,
      0.3525,
      0.3394,
      0.3763,
      0.2043,
      0.1622,
      0.3459,
      0.2604,
      0.2953,
      0.4271,
      0.4342,
      0.0329,
      0.5387,
      0.1361,
      0,
      0.3974,
      0.2548,
      0.2137,
      0.0786,
      0.411,
      0,
      0.209,
      0.1876,
      0.3044,
      0.4519,
      0.0848,
      0.5381,
      0.3473,
      0.317,
      0.4143,
      0.3642,
      0.3477,
      0.3101,
      0.1332,
      0.2218,
      0.3534,
      0.1556,
      0.4411,
      0.4564,
      0.3162,
      0.4649,
      0.2894,
      0.118,
      0.4953,
      0.0593,
      0.1936,
      0.1683,
      0.283,
      0.1065,
      0.1367,
      0.4249,
      0.1863,
      0.4446,
      0.33,
      0.5144,
      0.1725,
      0.2628,
      0.5391,
      0.1558,
      0.3264,
      0.0359,
      0.3529,
      0.4639,
      0.1142,
      0.2297,
      0.4412,
      0.3913,
      0.2555,
      0.3937,
      0.3191,
      0.2924,
      0.5681,
      0.0903,
      0.2056,
      0.4249,
      0.343,
      0.4095,
      0.1634,
      0.4674,
      0.3485,
      0.3807,
      0.2138,
      0.3446,
      0.3442,
      0.3162,
      0.53,
      0.2595,
      0.414,
      0.3558,
      0.2315,
      0.2421,
      0.2305,
      0.2949,
      0.2979,
      0.3572,
      0.3966,
      0.3748,
      0.4063,
      0.3096,
      0.5295,
      0.3698,
      0.5178,
      0.3744,
      0.1598,
      0.1368,
      0.2048,
      0,
      0.3525,
      0.1731,
      0.3204,
      0.2797,
      0.4252,
      0.2008,
      0.5597,
      0.2866,
      0,
      0.5246,
      0.243,
      0.0836,
      0.2713,
      0.2426,
      0.2694,
      0.1919,
      0.2219,
      0.5099,
      0.3533,
      0.3029,
      0.5216,
      0.2325,
      0.1622,
      0.5539,
      0.2387,
      0.294,
      0.0952,
      0.1953,
      0.1793,
      0.1612,
      0.1463,
      0.2349,
      0.1412,
      0.1419,
      0.3269,
      0,
      0.1439,
      0.5602,
      0.1384,
      0.1156,
      0.1592,
      0.1519,
      0.1388,
      0.0873,
      0.1258,
      0.1159,
      0,
      0,
      0,
      0,
      0,
      0,
      0.27,
      0.2797,
      0.2086,
      0.2345,
      0.3839,
      0.207,
      0.2149,
      0.1782,
      0.1796,
      0.1444,
      0.1268,
      0.4318,
      0.1911,
      0.1298,
      0.2004,
      0.3166,
      0.2614,
      0.3145,
      0.1698,
      0.2791,
      0.2454,
      0.085,
      0.2516,
      0.2632,
      0.1255,
      0.2493,
      0.1964,
      0.1317,
      0.2089,
      0.2402,
      0.2184,
      0.27,
      0.1804,
      0.1215,
      0.3303,
      0.5892,
      0.156,
      0.227,
      0.4265,
      0.3913,
      0.2777,
      0.3433,
      0.4218,
      0.4753,
      0.3025,
      0.2042,
      0.1955,
      0.2436,
      0.0868,
      0.5983,
      0.3668,
      0.239,
      0.4455,
      0.2263,
      0.1666,
      0.2232,
      0.5735,
      0.5598,
      0.1653,
      0.5422,
      0.5114,
      0.4116,
      0,
      0.4833,
      0.2537,
      0,
      0.4608,
      0.0076,
      0.0392,
      0.4335,
      0.3356,
      0,
      0.5242,
      0.4485,
      0.408,
      0.2831,
      0.3639,
      0.3904,
      0.3453,
      0.2101,
      0.5922,
      0.2358,
      0.2598,
      0.237,
      0.1712,
      0.165,
      0,
      0.1398,
      0.2432,
      0.1366,
      0.1812,
      0.2883,
      0.3074,
      0.0997,
      0.5982,
      0.3516,
      0.3634,
      0.3444,
      0.5161,
      0.445,
      0.4835,
      0.4159,
      0.132,
      0.3543,
      0.3392,
      0.2099,
      0.4255,
      0.3482,
      0.5571,
      0.2552,
      0.1499,
      0.3896,
      0,
      0.2142,
      0.2423,
      0.4092,
      0.4058,
      0.0957,
      0.3596,
      0.4261,
      0.4307,
      0.2642,
      0.4426,
      0.3708,
      0.3434,
      0.3374,
      0.1733,
      0.2296,
      0.1969,
      0.3335,
      0.1652,
      0.2456,
      0.3731,
      0.2828,
      0.3908,
      0.2599,
      0.3843,
      0.3468,
      0.3549,
      0.507,
      0.2193,
      0.5256,
      0.2755,
      0.3416,
      0.3028,
      0.3949,
      0.1311,
      0.3985,
      0.3344,
      0.2905,
      0.4037,
      0.3867,
      0.1435,
      0.5884,
      0.0692,
      0.036,
      0.3826,
      0.3304,
      0.2055,
      0.0419,
      0.4082,
      0.001,
      0.1666,
      0.1338,
      0.2411,
      0.425,
      0.0503,
      0.6043,
      0.2798,
      0.3216,
      0.3269,
      0.4464,
      0.2385,
      0.1474,
      0.1686,
      0.2384,
      0.273,
      0.1618,
      0.3795,
      0.4097,
      0.3226,
      0.5147,
      0.2768,
      0.2082,
      0.3439,
      0.0665,
      0.1474,
      0.1577,
      0.3215,
      0,
      0.2573,
      0.3507,
      0.0881,
      0.4328,
      0.2713,
      0.4719,
      0.3739,
      0.3277,
      0.5247,
      0.1478,
      0.4961,
      0.153,
      0.3372,
      0.3922,
      0.0646,
      0.3915,
      0.4556,
      0.4382,
      0.2874,
      0.3501,
      0.3966,
      0.2632,
      0.5871,
      0.1136,
      0.1651,
      0.4466,
      0.3182,
      0.3668,
      0.0576,
      0.4503,
      0.2949,
      0.3939,
      0.3609,
      0.3502,
      0.3583,
      0.3806,
      0.5562,
      0.229,
      0.526,
      0.2443,
      0.2654,
      0.2078,
      0.3776,
      0.2973,
      0.2711,
      0.3377,
      0.2351,
      0.3329,
      0.2977,
      0.4278,
      0.5556,
      0.4616,
      0.4565,
      0.3328,
      0.3128,
      0.1761,
      0.263,
      0,
      0.4313,
      0.1785,
      0.2771,
      0.2538,
      0.4153,
      0.1726,
      0.5554,
      0.3405,
      0.0737,
      0.3694,
      0.1864,
      0.1451,
      0.2948,
      0.1712,
      0.2185,
      0.1435,
      0.2167,
      0.4298,
      0.383,
      0.3227,
      0.5018,
      0.242,
      0.129,
      0.5449,
      0.2771,
      0.2759,
      0.0666,
      0.2232,
      0.1307,
      0.1981,
      0.182,
      0.2014,
      0.1936,
      0.2011,
      0.2378,
      0.0176,
      0,
      0.5739,
      0.1883,
      0.1161,
      0.1522,
      0.152,
      0.1307,
      0.0458,
      0.1422,
      0.1457,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3017,
      0.2152,
      0.2457,
      0.2542,
      0.3736,
      0.2237,
      0.0798,
      0.2254,
      0.1481,
      0.0573,
      0.1687,
      0.4077,
      0.1938,
      0.1589,
      0.1659,
      0.3779,
      0.2873,
      0.361,
      0.1322,
      0.2431,
      0.2967,
      0.3059,
      0.2062,
      0.1399,
      0.2779,
      0.2189,
      0.2461,
      0.1843,
      0.1888,
      0.2724,
      0.1324,
      0.209,
      0.3454,
      0.1954,
      0.2154,
      0.6177,
      0.1518,
      0.2349,
      0.3181,
      0.3531,
      0.219,
      0.3541,
      0.2501,
      0.2876,
      0.3407,
      0.3369,
      0.1412,
      0.2309,
      0.1087,
      0.6202,
      0.4556,
      0.2703,
      0.4498,
      0.2271,
      0.2438,
      0.2091,
      0.4239,
      0.4877,
      0.1726,
      0.3403,
      0.2401,
      0.3639,
      0,
      0.5114,
      0.0653,
      0,
      0.5192,
      0.026,
      0.1533,
      0.2853,
      0.1768,
      0,
      0.3468,
      0.4382,
      0.4604,
      0.2246,
      0.436,
      0.2951,
      0.2902,
      0.3135,
      0.5991,
      0.2565,
      0.2756,
      0.1841,
      0.1768,
      0.1059,
      0,
      0.1232,
      0.1617,
      0.1717,
      0.146,
      0.3113,
      0.2105,
      0.185,
      0.6105,
      0.1891,
      0.4077,
      0.397,
      0.5171,
      0.4239,
      0.2205,
      0.3363,
      0.1815,
      0.2471,
      0.331,
      0.1436,
      0.4483,
      0.3567,
      0.5838,
      0.2303,
      0.1429,
      0.4855,
      0.1166,
      0.2776,
      0.2209,
      0.353,
      0.3566,
      0,
      0.3718,
      0.3953,
      0.3965,
      0.2646,
      0.43,
      0.3825,
      0.2976,
      0.4529,
      0.1974,
      0.2604,
      0.2874,
      0.296,
      0.1241,
      0.3853,
      0.4088,
      0.3561,
      0.3804,
      0.2219,
      0.379,
      0.2438,
      0.2664,
      0.5581,
      0.2875,
      0.2636,
      0.2393,
      0.2647,
      0.2696,
      0.2323,
      0.2394,
      0.3357,
      0.3295,
      0.2928,
      0.4124,
      0.3163,
      0.0281,
      0.6218,
      0.0788,
      0,
      0.3073,
      0.3398,
      0.1127,
      0.0288,
      0.3756,
      0,
      0.2224,
      0.1585,
      0.265,
      0.415,
      0.0257,
      0.5811,
      0.2323,
      0.2471,
      0.3831,
      0.257,
      0.2309,
      0.2539,
      0.1616,
      0.2711,
      0.2229,
      0.1058,
      0.3368,
      0.3949,
      0.2424,
      0.5139,
      0.3162,
      0.2243,
      0.477,
      0.0158,
      0.1605,
      0.195,
      0.4208,
      0.1077,
      0.3023,
      0.4016,
      0.1863,
      0.4018,
      0.2543,
      0.4526,
      0.3299,
      0.3658,
      0.5812,
      0.1886,
      0.243,
      0.1022,
      0.273,
      0.3318,
      0.0472,
      0.2511,
      0.4232,
      0.3695,
      0.2298,
      0.3728,
      0.4215,
      0.2145,
      0.638,
      0.0874,
      0.2373,
      0.327,
      0.2866,
      0.3519,
      0.1332,
      0.3656,
      0.3343,
      0.2891,
      0.4327,
      0.4306,
      0.2884,
      0.2668,
      0.5912,
      0.3175,
      0.243,
      0.2394,
      0.219,
      0.2178,
      0.2752,
      0.3157,
      0.3819,
      0.2975,
      0.1969,
      0.225,
      0.3211,
      0.215,
      0.5677,
      0.3748,
      0.339,
      0.3562,
      0.3387,
      0.1409,
      0.0503,
      0,
      0.3856,
      0.1948,
      0.1671,
      0.4178,
      0.3747,
      0.1658,
      0.5504,
      0.1556,
      0.0305,
      0.4886,
      0.1964,
      0.1909,
      0.2507,
      0.1769,
      0.1419,
      0.1845,
      0.2061,
      0.3637,
      0.327,
      0.3654,
      0.5086,
      0.2332,
      0.169,
      0.6026,
      0.2288,
      0.3669,
      0.042,
      0.1254,
      0.2053,
      0.1248,
      0.1801,
      0.2645,
      0.0675,
      0.1382,
      0.2944,
      0.1819,
      0.0489,
      0.6322,
      0.1994,
      0.0856,
      0.1409,
      0.1101,
      0.0866,
      0,
      0.1139,
      0.1203,
      0.0485,
      0,
      0,
      0,
      0,
      0,
      0.2248,
      0.2858,
      0.1648,
      0.2714,
      0.2968,
      0.2251,
      0.0042,
      0.0814,
      0.1529,
      0.1854,
      0.2714,
      0.2617,
      0.1783,
      0.2566,
      0.1566,
      0.3101,
      0.2127,
      0.316,
      0.1549,
      0.1809,
      0.3769,
      0.1884,
      0.1546,
      0.1187,
      0.295,
      0.1355,
      0.2475,
      0.1789,
      0.2336,
      0.2794,
      0.2709,
      0.2474,
      0.3211,
      0.1911,
      0.2142,
      0.4659,
      0.0906,
      0.2286,
      0.3859,
      0.3176,
      0.2984,
      0.2539,
      0.2112,
      0.3649,
      0.4093,
      0.1948,
      0.3805,
      0.2895,
      0.0788,
      0.545,
      0.3416,
      0.3328,
      0.4191,
      0.2271,
      0.1974,
      0.1819,
      0.3576,
      0.441,
      0.0909,
      0.3213,
      0.4171,
      0.2974,
      0.0386,
      0.5654,
      0.2173,
      0,
      0.4585,
      0.3016,
      0.1128,
      0.2405,
      0.4554,
      0.0402,
      0.272,
      0.3676,
      0.3405,
      0.2755,
      0.5005,
      0.3964,
      0.3123,
      0.3795,
      0.4867,
      0.3139,
      0.2432,
      0.2394,
      0.1068,
      0.24,
      0,
      0.1647,
      0.476,
      0.2135,
      0.1418,
      0.4198,
      0.2417,
      0.268,
      0.4518,
      0.18,
      0.1784,
      0.3682,
      0.4505,
      0.4138,
      0.1967,
      0.3307,
      0.1957,
      0.2965,
      0.3354,
      0.3007,
      0.3917,
      0.3032,
      0.4422,
      0.2572,
      0.126,
      0.4433,
      0.1216,
      0.2317,
      0.2032,
      0.3967,
      0.2197,
      0.0816,
      0.382,
      0.4048,
      0.3749,
      0.2671,
      0.4301,
      0.3463,
      0.2283,
      0.4125,
      0.2142,
      0.2143,
      0.2031,
      0.2184,
      0.1848,
      0.33,
      0.3155,
      0.2351,
      0.3799,
      0.2293,
      0.4625,
      0.2101,
      0.2462,
      0.5357,
      0.2345,
      0.2883,
      0.2338,
      0.2335,
      0.2847,
      0.1701,
      0.2673,
      0.3736,
      0.2592,
      0.3933,
      0.4218,
      0.3275,
      0,
      0.5379,
      0.1324,
      0,
      0.1111,
      0.3098,
      0.1665,
      0.1013,
      0.3514,
      0,
      0.4019,
      0.1651,
      0.3436,
      0.403,
      0.0708,
      0.4157,
      0.2515,
      0.2996,
      0.3703,
      0.2293,
      0.2215,
      0.5046,
      0.2357,
      0.3418,
      0.3417,
      0.1587,
      0.5129,
      0.4031,
      0.2425,
      0.4423,
      0.3333,
      0.0668,
      0.4245,
      0.077,
      0.1764,
      0.3111,
      0.4686,
      0.1029,
      0.1897,
      0.4145,
      0.1204,
      0.3707,
      0.3324,
      0.4054,
      0.1471,
      0.3023,
      0.4749,
      0.2417,
      0.2832,
      0.0816,
      0.362,
      0.3209,
      0.1001,
      0.3253,
      0.3945,
      0.3009,
      0.2133,
      0.3923,
      0.3824,
      0.1456,
      0.5442,
      0.1734,
      0.2763,
      0.2703,
      0.3684,
      0.2472,
      0.1353,
      0.369,
      0.3132,
      0.3238,
      0.3399,
      0.3686,
      0.2732,
      0.2166,
      0.5366,
      0.2205,
      0.323,
      0.2746,
      0.2041,
      0.2061,
      0.2126,
      0.2509,
      0.4371,
      0.2698,
      0.3343,
      0.3865,
      0.52,
      0.1352,
      0.482,
      0.3755,
      0.2392,
      0.3361,
      0.2641,
      0.2714,
      0.3214,
      0,
      0.4673,
      0.1403,
      0.2365,
      0.339,
      0.3661,
      0.2005,
      0.5198,
      0.1149,
      0.0168,
      0.4236,
      0.2023,
      0.2848,
      0.2326,
      0.1893,
      0.0493,
      0.1678,
      0.2447,
      0.4192,
      0.304,
      0.3843,
      0.4328,
      0.2124,
      0.1694,
      0.508,
      0.1725,
      0.3332,
      0.1003,
      0.1027,
      0.2518,
      0.0682,
      0.0861,
      0.1945,
      0.0669,
      0.1171,
      0.3283,
      0.2,
      0.0745,
      0.5238,
      0.2136,
      0.0571,
      0.1202,
      0.0576,
      0.0259,
      0.1325,
      0.0248,
      0.0932,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3376,
      0.2175,
      0.1239,
      0.294,
      0.2233,
      0.2359,
      0.0517,
      0.2109,
      0.1091,
      0.3782,
      0.2995,
      0.2301,
      0.2019,
      0.2602,
      0.236,
      0.2276,
      0.2426,
      0.3488,
      0.1356,
      0.1333,
      0.3529,
      0.3182,
      0.1736,
      0.1703,
      0.2747,
      0.1802,
      0.3513,
      0.1661,
      0.193,
      0.217,
      0.1964,
      0.2602,
      0.3759,
      0.1689,
      0.2518,
      0.5005,
      0.1146,
      0.355,
      0.4364,
      0.2597,
      0.3157,
      0.309,
      0.2187,
      0.3974,
      0.3798,
      0.3499,
      0.4189,
      0.3473,
      0.0593,
      0.5134,
      0.361,
      0.3561,
      0.3914,
      0.2361,
      0.2248,
      0.1778,
      0.3757,
      0.4008,
      0.1413,
      0.2555,
      0.3806,
      0.3105,
      0.113,
      0.5591,
      0.2012,
      0,
      0.5176,
      0.3351,
      0.0462,
      0.2575,
      0.4624,
      0.089,
      0.2745,
      0.3862,
      0.2213,
      0.4476,
      0.5057,
      0.3691,
      0.3811,
      0.416,
      0.4679,
      0.2576,
      0.1213,
      0.2665,
      0.1448,
      0.1166,
      0,
      0.0968,
      0.4976,
      0.2819,
      0.1613,
      0.3886,
      0.2748,
      0.2807,
      0.5344,
      0.1995,
      0.1658,
      0.4841,
      0.4351,
      0.3654,
      0.1978,
      0.27,
      0.2272,
      0.2524,
      0.3064,
      0.2716,
      0.3913,
      0.3019,
      0.5146,
      0.2843,
      0.136,
      0.4262,
      0.0961,
      0.2444,
      0.2131,
      0.3593,
      0.307,
      0.1002,
      0.3464,
      0.4047,
      0.3759,
      0.2871,
      0.3575,
      0.3795,
      0.3001,
      0.3778,
      0.224,
      0.2228,
      0.2684,
      0.2571,
      0.2997,
      0.1302,
      0.3164,
      0.2346,
      0.3685,
      0.3719,
      0.3942,
      0.2729,
      0.3305,
      0.51,
      0.3361,
      0.2192,
      0.2023,
      0.2626,
      0.2573,
      0.1969,
      0.2103,
      0.4095,
      0.292,
      0.3687,
      0.4735,
      0.2991,
      0,
      0.5191,
      0.1301,
      0,
      0.1659,
      0.2489,
      0.0627,
      0.2631,
      0.3464,
      0,
      0.4266,
      0.1815,
      0.289,
      0.3952,
      0.0968,
      0.5348,
      0.2506,
      0.2112,
      0.3422,
      0.2845,
      0.1765,
      0.5111,
      0.2027,
      0.3753,
      0.2971,
      0.1944,
      0.4917,
      0.3769,
      0.1597,
      0.4846,
      0.3245,
      0.1383,
      0.4072,
      0.0421,
      0.0947,
      0.332,
      0.5215,
      0.1352,
      0.1688,
      0.4405,
      0.1847,
      0.3916,
      0.4217,
      0.4376,
      0.1594,
      0.2259,
      0.4651,
      0.2883,
      0.2518,
      0.0029,
      0.3324,
      0.2633,
      0.1234,
      0.4037,
      0.3823,
      0.2838,
      0.3669,
      0.4379,
      0.3742,
      0.1749,
      0.5133,
      0.1517,
      0.236,
      0.3899,
      0.357,
      0.2707,
      0.0754,
      0.3472,
      0.3124,
      0.3552,
      0.3887,
      0.398,
      0.2653,
      0.3454,
      0.4698,
      0.2442,
      0.2795,
      0.1916,
      0.1857,
      0.2009,
      0.2365,
      0.2323,
      0.4506,
      0.284,
      0.2812,
      0.3478,
      0.556,
      0.1905,
      0.5118,
      0.3722,
      0.2591,
      0.3392,
      0.2021,
      0.2803,
      0.3909,
      0,
      0.4381,
      0.2238,
      0.219,
      0.23,
      0.3723,
      0.2106,
      0.5034,
      0.1658,
      0.0535,
      0.4217,
      0.1571,
      0.2581,
      0.239,
      0.1964,
      0.1449,
      0.1807,
      0.2721,
      0.4228,
      0.2489,
      0.4051,
      0.4138,
      0.152,
      0.202,
      0.4747,
      0.1751,
      0.2826,
      0.2088,
      0.1226,
      0.1745,
      0.2051,
      0.0401,
      0.1437,
      0.0297,
      0.1164,
      0.3621,
      0.0701,
      0.0248,
      0.4755,
      0.1182,
      0.0854,
      0.1051,
      0.0969,
      0.0913,
      0.0111,
      0.1991,
      0.0763,
      0.026,
      0,
      0,
      0,
      0,
      0,
      0.2763,
      0.1089,
      0.1997,
      0.2297,
      0.3007,
      0.1768,
      0.0547,
      0.2566,
      0.1003,
      0.351,
      0.2321,
      0.201,
      0.2261,
      0.1469,
      0.1666,
      0.217,
      0.2276,
      0.3333,
      0.2555,
      0.2918,
      0.3542,
      0.2274,
      0.2152,
      0.2567,
      0.2915,
      0.1369,
      0.2596,
      0.179,
      0.2892,
      0.2856,
      0.2277,
      0.1938,
      0.3777,
      0.1787,
      0.2084,
      0.4991,
      0.1784,
      0.4375,
      0.3494,
      0.5651,
      0.3667,
      0.3253,
      0.2888,
      0.3799,
      0.2484,
      0.3434,
      0.2246,
      0.1706,
      0.0427,
      0.5472,
      0.433,
      0.2701,
      0.4445,
      0.3515,
      0.2186,
      0.2114,
      0.3663,
      0.3569,
      0.153,
      0.2763,
      0.3657,
      0.3468,
      0.0639,
      0.5107,
      0.2462,
      0,
      0.4717,
      0.0204,
      0.0713,
      0.2514,
      0.4062,
      0,
      0.247,
      0.3761,
      0.3196,
      0.2107,
      0.3967,
      0.3798,
      0.3588,
      0.3226,
      0.5333,
      0.2897,
      0.2134,
      0.2923,
      0.1475,
      0.1216,
      0,
      0.0659,
      0.2594,
      0.2121,
      0.1196,
      0.3108,
      0.2557,
      0.1356,
      0.5549,
      0.3484,
      0.1549,
      0.5028,
      0.4303,
      0.3725,
      0.1851,
      0.3139,
      0.2714,
      0.2159,
      0.3497,
      0.2583,
      0.3595,
      0.3299,
      0.4933,
      0.3165,
      0.1237,
      0.4547,
      0.0577,
      0.1718,
      0.1641,
      0.3903,
      0.2959,
      0.061,
      0.2434,
      0.392,
      0.356,
      0.305,
      0.3983,
      0.3977,
      0.2192,
      0.4341,
      0.2672,
      0.2407,
      0.42,
      0.2743,
      0.3106,
      0.1122,
      0.3435,
      0.2626,
      0.3452,
      0.2866,
      0.4729,
      0.2854,
      0.5535,
      0.4841,
      0.3778,
      0.4391,
      0.4527,
      0.2318,
      0.233,
      0.1686,
      0.1202,
      0.3044,
      0.2389,
      0.2701,
      0.4251,
      0.3573,
      0,
      0.4544,
      0.1387,
      0,
      0.2047,
      0.2285,
      0.0929,
      0.3178,
      0.3898,
      0.0747,
      0.3055,
      0.1563,
      0.2231,
      0.3951,
      0.0376,
      0.54,
      0.2406,
      0.2922,
      0.3568,
      0.2342,
      0.2501,
      0.126,
      0.2156,
      0.1628,
      0.0627,
      0.139,
      0.3629,
      0.366,
      0.274,
      0.4974,
      0.3592,
      0.1035,
      0.4614,
      0.1328,
      0.1523,
      0.243,
      0.2206,
      0.0254,
      0.2435,
      0.4484,
      0.1597,
      0.3823,
      0.4758,
      0.4189,
      0.0878,
      0.2525,
      0.47,
      0.2786,
      0.215,
      0.0249,
      0.3484,
      0.3038,
      0.0473,
      0.3372,
      0.3795,
      0.2991,
      0.2635,
      0.4398,
      0.3306,
      0.2024,
      0.507,
      0.1395,
      0.3227,
      0.2791,
      0.3473,
      0.2262,
      0.0493,
      0.359,
      0.3039,
      0.3858,
      0.3784,
      0.3673,
      0.2616,
      0.5313,
      0.5381,
      0.3363,
      0.3919,
      0.4448,
      0.1708,
      0.3221,
      0.1862,
      0.2144,
      0.2166,
      0.1716,
      0.2965,
      0.4677,
      0.2581,
      0.3705,
      0.5321,
      0.4896,
      0.258,
      0.3613,
      0.1953,
      0.1163,
      0.0767,
      0,
      0.3091,
      0.2816,
      0.2992,
      0.1246,
      0.3547,
      0.2148,
      0.5089,
      0.1331,
      0.141,
      0.4643,
      0.2766,
      0.1945,
      0.1785,
      0.2307,
      0.17,
      0.1186,
      0.1372,
      0.3908,
      0.2828,
      0.3736,
      0.4386,
      0.1242,
      0.2574,
      0.4616,
      0.2282,
      0.2081,
      0.1522,
      0.0991,
      0.0776,
      0.254,
      0.0876,
      0.1536,
      0.0363,
      0.0146,
      0.3456,
      0,
      0.0262,
      0.4718,
      0.1496,
      0.1272,
      0.1069,
      0.1842,
      0.0697,
      0.0033,
      0.1528,
      0.0865,
      0.0181,
      0,
      0,
      0,
      0,
      0,
      0.2384,
      0.1287,
      0.1785,
      0.335,
      0.2962,
      0.279,
      0.1895,
      0.2984,
      0.1254,
      0.1485,
      0.1656,
      0.2137,
      0.2878,
      0.0211,
      0.1994,
      0.1942,
      0.223,
      0.3708,
      0.1728,
      0.2411,
      0.3735,
      0.0819,
      0.1865,
      0.2448,
      0.1851,
      0.173,
      0.2073,
      0.1389,
      0.2279,
      0.3755,
      0.2966,
      0.3037,
      0.2882,
      0.1236,
      0.3716,
      0.5864,
      0.0905,
      0.3328,
      0.2952,
      0.3992,
      0.3413,
      0.407,
      0.3571,
      0.3736,
      0.2709,
      0.2913,
      0.1877,
      0.2404,
      0.0379,
      0.6142,
      0.4427,
      0.2868,
      0.4165,
      0.2154,
      0.2038,
      0.2283,
      0.3536,
      0.3939,
      0.1582,
      0.2212,
      0.3899,
      0.378,
      0,
      0.5475,
      0.2439,
      0,
      0.4667,
      0,
      0,
      0.3166,
      0.4387,
      0,
      0.2443,
      0.4399,
      0.4069,
      0.2041,
      0.3402,
      0.3361,
      0.3544,
      0.2391,
      0.595,
      0.3099,
      0.467,
      0.2426,
      0.1517,
      0.1205,
      0,
      0.0397,
      0.2211,
      0.2668,
      0.0953,
      0.31,
      0.3618,
      0.0625,
      0.6368,
      0.316,
      0.1825,
      0.4422,
      0.4273,
      0.3739,
      0.1712,
      0.3129,
      0.1673,
      0.2367,
      0.3347,
      0.1703,
      0.4055,
      0.3011,
      0.5805,
      0.3622,
      0.1385,
      0.4286,
      0.0994,
      0.209,
      0.2042,
      0.3348,
      0.3835,
      0.1101,
      0.1794,
      0.4028,
      0.4341,
      0.2036,
      0.3936,
      0.3739,
      0.3261,
      0.4026,
      0.2592,
      0.1546,
      0.3358,
      0.1868,
      0.3341,
      0.1878,
      0.3568,
      0.1976,
      0.3585,
      0.2956,
      0.4992,
      0.3299,
      0.3638,
      0.5337,
      0.2114,
      0.3608,
      0.2893,
      0.1955,
      0.3429,
      0.1253,
      0.0907,
      0.3251,
      0.2421,
      0.2279,
      0.3749,
      0.3621,
      0,
      0.5793,
      0.2077,
      0,
      0.2378,
      0.2404,
      0.1301,
      0.3122,
      0.3998,
      0.0569,
      0.2956,
      0.162,
      0.1794,
      0.4042,
      0.0476,
      0.6297,
      0.2393,
      0.3817,
      0.3339,
      0.1643,
      0.2478,
      0.2367,
      0.2719,
      0.1377,
      0.2956,
      0.1224,
      0.3614,
      0.405,
      0.3281,
      0.5304,
      0.2889,
      0.0626,
      0.4229,
      0.1053,
      0.1587,
      0.21,
      0.3251,
      0.1245,
      0.3184,
      0.4132,
      0.1303,
      0.4157,
      0.392,
      0.4079,
      0.2249,
      0.2909,
      0.5459,
      0.2086,
      0.1208,
      0.022,
      0.4155,
      0.34,
      0.0249,
      0.2144,
      0.4118,
      0.3587,
      0.1978,
      0.3701,
      0.2602,
      0.278,
      0.5866,
      0.1293,
      0.1627,
      0.2539,
      0.3002,
      0.4018,
      0.0319,
      0.4729,
      0.2368,
      0.2728,
      0.3036,
      0.4266,
      0.2424,
      0.2214,
      0.6105,
      0.3378,
      0.4019,
      0.2171,
      0.2474,
      0.2724,
      0.1855,
      0.2171,
      0.2708,
      0.305,
      0.3136,
      0.4424,
      0.2852,
      0.2429,
      0.5758,
      0.3667,
      0.4561,
      0.3581,
      0.2442,
      0.1117,
      0.1896,
      0,
      0.3998,
      0.2161,
      0.2889,
      0.0419,
      0.406,
      0.2181,
      0.5229,
      0.2565,
      0.1138,
      0.4219,
      0.1959,
      0.1326,
      0.0798,
      0.1606,
      0.1278,
      0.1695,
      0.1256,
      0.4185,
      0.3578,
      0.3692,
      0.472,
      0.1252,
      0.1986,
      0.5591,
      0.3095,
      0.3734,
      0.1518,
      0.0137,
      0.0749,
      0.1583,
      0.109,
      0.1699,
      0.1693,
      0.0241,
      0.305,
      0,
      0,
      0.5974,
      0.1305,
      0.1096,
      0.0892,
      0.1636,
      0.0621,
      0,
      0.1015,
      0.1201,
      0.034,
      0,
      0,
      0,
      0,
      0,
      0.3644,
      0.2455,
      0.1197,
      0.2417,
      0.3031,
      0.274,
      0.1387,
      0.1604,
      0.1085,
      0.1276,
      0.1028,
      0.2501,
      0.2708,
      0.0192,
      0.1313,
      0.2094,
      0.2044,
      0.3753,
      0.2395,
      0.2015,
      0.3603,
      0.1353,
      0.1687,
      0.2869,
      0.2102,
      0.2212,
      0.1694,
      0.0739,
      0.2088,
      0.4119,
      0.2718,
      0.373,
      0.2434,
      0.1574,
      0.479,
      0.4959,
      0.0791,
      0.2759,
      0.2591,
      0.2772,
      0.3491,
      0.4013,
      0.2808,
      0.3194,
      0.2714,
      0.3067,
      0.112,
      0.308,
      0.0262,
      0.5447,
      0.3605,
      0.2796,
      0.3762,
      0.2132,
      0.1006,
      0.1815,
      0.3946,
      0.3556,
      0.1581,
      0.2839,
      0.3367,
      0.3973,
      0,
      0.5,
      0.335,
      0.0271,
      0.439,
      0,
      0.0614,
      0.2744,
      0.5303,
      0.1352,
      0.2964,
      0.6873,
      0.3653,
      0.2553,
      0.3263,
      0.3729,
      0.3578,
      0.2247,
      0.5275,
      0.4727,
      0.2321,
      0.3528,
      0.1864,
      0.406,
      0,
      0.1539,
      0.3072,
      0.2147,
      0.1663,
      0.3856,
      0.4999,
      0.05,
      0.5155,
      0.4661,
      0.2358,
      0.3858,
      0.4401,
      0.3523,
      0.1568,
      0.3518,
      0.1959,
      0.2962,
      0.357,
      0.2124,
      0.3658,
      0.3912,
      0.4891,
      0.2845,
      0.1852,
      0.413,
      0.1603,
      0.2197,
      0.1797,
      0.314,
      0.2742,
      0.0717,
      0.2826,
      0.3567,
      0.3785,
      0.2456,
      0.3955,
      0.3373,
      0.3373,
      0.3673,
      0.2988,
      0.1826,
      0.3944,
      0.1611,
      0.3507,
      0.1378,
      0.3752,
      0.2978,
      0.3107,
      0.3893,
      0.4104,
      0.4202,
      0.3752,
      0.4518,
      0.3864,
      0.4119,
      0.3543,
      0.1607,
      0.3491,
      0.3166,
      0.335,
      0.3188,
      0.2346,
      0.1757,
      0.3566,
      0.5194,
      0.0874,
      0.4827,
      0.5444,
      0.1398,
      0.2111,
      0.2285,
      0.0955,
      0.1769,
      0.3118,
      0,
      0.2358,
      0.1404,
      0.2037,
      0.3329,
      0.0705,
      0.4691,
      0.229,
      0.4523,
      0.276,
      0.2755,
      0.2742,
      0.1672,
      0.2349,
      0.2145,
      0.5226,
      0.095,
      0.3509,
      0.3428,
      0.4788,
      0.4921,
      0.4909,
      0.2067,
      0.3997,
      0.3753,
      0.2221,
      0.192,
      0.2931,
      0.2082,
      0.3478,
      0.4462,
      0.2041,
      0.3378,
      0.3946,
      0.4404,
      0.3277,
      0.3392,
      0.4521,
      0.1796,
      0.2855,
      0.0603,
      0.3993,
      0.3061,
      0.0749,
      0.2247,
      0.3344,
      0.3566,
      0.2431,
      0.3421,
      0.2668,
      0.1788,
      0.5103,
      0.1004,
      0.3168,
      0.4112,
      0.2388,
      0.3755,
      0.1029,
      0.4363,
      0.2065,
      0.2884,
      0.3733,
      0.4015,
      0.3989,
      0.2513,
      0.5546,
      0.3672,
      0.4031,
      0.3495,
      0.2228,
      0.2575,
      0.3159,
      0.3046,
      0.2191,
      0.2787,
      0.3067,
      0.3747,
      0.2743,
      0.3581,
      0.501,
      0.348,
      0.3867,
      0.2173,
      0.2871,
      0.0814,
      0.1771,
      0,
      0.2909,
      0.1796,
      0.2501,
      0.2139,
      0.3238,
      0.1079,
      0.4676,
      0.244,
      0.0155,
      0.4321,
      0.1594,
      0.1334,
      0.2386,
      0.1817,
      0.1132,
      0.175,
      0.1867,
      0.4212,
      0.3558,
      0.358,
      0.4358,
      0.0835,
      0.2105,
      0.4449,
      0.341,
      0.3556,
      0.0783,
      0.0293,
      0.1286,
      0.0394,
      0.1273,
      0.1864,
      0.1177,
      0.0486,
      0.2732,
      0.0062,
      0,
      0.4786,
      0.2094,
      0.055,
      0.0513,
      0.1848,
      0.1063,
      0.0577,
      0.0452,
      0.0955,
      0.0074,
      0,
      0,
      0,
      0,
      0,
      0.2639,
      0.2016,
      0.1329,
      0.316,
      0.3936,
      0.2074,
      0.1579,
      0.1562,
      0.1606,
      0.1248,
      0.1823,
      0.2747,
      0.22,
      0.0474,
      0.1692,
      0.0492,
      0.2165,
      0.342,
      0.1916,
      0.2392,
      0.2901,
      0.1573,
      0.1942,
      0.2067,
      0.1272,
      0.2604,
      0.127,
      0.1132,
      0.2498,
      0.3757,
      0.2248,
      0.3427,
      0.2401,
      0.0508,
      0.3302,
      0.4701,
      0.0856,
      0.1752,
      0.2533,
      0.2688,
      0.3129,
      0.3792,
      0.224,
      0.2406,
      0.2483,
      0.1739,
      0.148,
      0.2858,
      0,
      0.4702,
      0.3998,
      0.184,
      0.4494,
      0.208,
      0.1582,
      0.2139,
      0.3902,
      0.345,
      0.0885,
      0.2977,
      0.2833,
      0.364,
      0,
      0.3674,
      0.2596,
      0,
      0.4907,
      0.0546,
      0.0678,
      0.3255,
      0.3532,
      0,
      0.313,
      0.4233,
      0.2813,
      0.2607,
      0.2933,
      0.3395,
      0.3471,
      0.2069,
      0.5222,
      0.3039,
      0.2634,
      0.3018,
      0.1921,
      0.1144,
      0,
      0.1082,
      0.2303,
      0.1782,
      0.2078,
      0.3285,
      0.3185,
      0,
      0.4809,
      0.2375,
      0.1568,
      0.3991,
      0.3898,
      0.3269,
      0.1236,
      0.3434,
      0.1098,
      0.2473,
      0.3245,
      0.255,
      0.3709,
      0.3927,
      0.4604,
      0.1909,
      0.1349,
      0.4702,
      0.2033,
      0.2508,
      0.0743,
      0.2864,
      0.4382,
      0.0483,
      0.3296,
      0.3385,
      0.3551,
      0.3285,
      0.367,
      0.3363,
      0.2508,
      0.4421,
      0.1363,
      0.2694,
      0.3165,
      0.1893,
      0.2189,
      0.2387,
      0.373,
      0.3284,
      0.3692,
      0.1784,
      0.4249,
      0.3728,
      0.2231,
      0.4912,
      0.197,
      0.3222,
      0.2585,
      0.2214,
      0.2889,
      0.2284,
      0.0753,
      0.3653,
      0.2562,
      0.2521,
      0.33,
      0.3219,
      0,
      0.4689,
      0.1944,
      0,
      0.2117,
      0.2926,
      0.1945,
      0.2221,
      0.3979,
      0.087,
      0.2059,
      0.1525,
      0.3083,
      0.3536,
      0.0576,
      0.4368,
      0.2439,
      0.3143,
      0.3498,
      0.2275,
      0.2883,
      0.2314,
      0.2182,
      0.2771,
      0.196,
      0.1226,
      0.3565,
      0.3659,
      0.3378,
      0.3996,
      0.1974,
      0.0655,
      0.4752,
      0.1213,
      0.1713,
      0.3213,
      0.2361,
      0.1328,
      0.2464,
      0.4257,
      0.092,
      0.3713,
      0.3376,
      0.348,
      0.1054,
      0.3376,
      0.4854,
      0.1828,
      0.2736,
      0.0281,
      0.2573,
      0.402,
      0.0512,
      0.2213,
      0.3798,
      0.4125,
      0.2689,
      0.3191,
      0.3627,
      0.2549,
      0.4478,
      0.1116,
      0.2816,
      0.4405,
      0.2736,
      0.3633,
      0.1323,
      0.4681,
      0.2423,
      0.2998,
      0.3138,
      0.3116,
      0.3275,
      0.2656,
      0.4575,
      0.1792,
      0.3048,
      0.3159,
      0.2267,
      0.1967,
      0.1244,
      0.2488,
      0.2195,
      0.2917,
      0.2875,
      0.3098,
      0.2346,
      0.2048,
      0.4935,
      0.2637,
      0.3839,
      0.3309,
      0.224,
      0.1683,
      0.0297,
      0,
      0.2594,
      0.1038,
      0.2323,
      0.244,
      0.3671,
      0.0384,
      0.3737,
      0.1856,
      0.0115,
      0.4828,
      0.2591,
      0.086,
      0.2362,
      0.2554,
      0.217,
      0.1858,
      0.1427,
      0.3737,
      0.3904,
      0.3239,
      0.381,
      0.129,
      0.2539,
      0.4472,
      0.2182,
      0.3236,
      0.0562,
      0.1258,
      0.1888,
      0.1897,
      0.0484,
      0.1583,
      0,
      0,
      0.2955,
      0,
      0,
      0.4368,
      0.1821,
      0,
      0.0439,
      0.1056,
      0.0636,
      0,
      0.1189,
      0.1697,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3205,
      0.0846,
      0.1298,
      0.2717,
      0.3909,
      0.1903,
      0.0563,
      0.1844,
      0.0979,
      0.0822,
      0.1086,
      0.3308,
      0.2141,
      0.0693,
      0.1235,
      0.1772,
      0.2174,
      0.3711,
      0.1928,
      0.1398,
      0.2474,
      0.2396,
      0.1235,
      0.086,
      0.1757,
      0.2479,
      0.0052,
      0.0803,
      0.2837,
      0.128,
      0.2538,
      0.1836,
      0.2222,
      0.1286,
      0.2457,
      0.5325,
      0.067,
      0.1577,
      0.178,
      0.3526,
      0.2703,
      0.1209,
      0.127,
      0.2449,
      0.2337,
      0.0844,
      0.2119,
      0.1863,
      0,
      0.5106,
      0.4272,
      0.1784,
      0.4622,
      0.2252,
      0.0976,
      0.2821,
      0.3268,
      0.3115,
      0.1445,
      0.4112,
      0.458,
      0.3581,
      0,
      0.4412,
      0.2571,
      0,
      0.4703,
      0.0315,
      0,
      0.433,
      0.3183,
      0,
      0.3193,
      0.4603,
      0.3622,
      0.2204,
      0.2153,
      0.3973,
      0.2922,
      0.2108,
      0.508,
      0.2101,
      0.2165,
      0.3563,
      0.2023,
      0.104,
      0,
      0.1513,
      0.2622,
      0.1384,
      0.1703,
      0.3096,
      0.2565,
      0.0721,
      0.4635,
      0.1156,
      0.0697,
      0.3889,
      0.3843,
      0.2705,
      0.1417,
      0.359,
      0.1969,
      0.2534,
      0.3271,
      0.2478,
      0.4731,
      0.3767,
      0.415,
      0.1507,
      0.1634,
      0.4602,
      0.0804,
      0.2501,
      0.132,
      0.33,
      0.4464,
      0.009,
      0.2891,
      0.4643,
      0.4357,
      0.3685,
      0.3231,
      0.276,
      0.2148,
      0.4452,
      0.0911,
      0.343,
      0.1697,
      0.1865,
      0.1217,
      0.2427,
      0.4381,
      0.2221,
      0.3762,
      0.0632,
      0.3474,
      0.2687,
      0.337,
      0.5308,
      0.1459,
      0.3308,
      0.1573,
      0.2737,
      0.2144,
      0.0922,
      0.2061,
      0.3635,
      0.2152,
      0.2521,
      0.3157,
      0.4319,
      0.0865,
      0.5344,
      0.1212,
      0,
      0.3356,
      0.2563,
      0.169,
      0.1888,
      0.4301,
      0.0067,
      0.1939,
      0.244,
      0.3006,
      0.4609,
      0.0139,
      0.4213,
      0.2283,
      0.3321,
      0.3261,
      0.3158,
      0.2463,
      0.1389,
      0.2264,
      0.2098,
      0.1268,
      0.1396,
      0.4389,
      0.4581,
      0.2266,
      0.4501,
      0.1606,
      0.1523,
      0.4721,
      0.115,
      0.1732,
      0.248,
      0.2323,
      0.0468,
      0.295,
      0.4361,
      0.0659,
      0.4352,
      0.2864,
      0.3438,
      0.1649,
      0.291,
      0.5149,
      0.1303,
      0.215,
      0,
      0.314,
      0.3815,
      0.0401,
      0.2442,
      0.4349,
      0.3999,
      0.2355,
      0.2105,
      0.3669,
      0.1963,
      0.4853,
      0.0959,
      0.3515,
      0.2803,
      0.2601,
      0.2649,
      0.114,
      0.4347,
      0.2325,
      0.2077,
      0.3811,
      0.3614,
      0.163,
      0.348,
      0.4809,
      0.2047,
      0.2871,
      0.1013,
      0.1396,
      0.1355,
      0.1598,
      0.2476,
      0.2718,
      0.2781,
      0.1539,
      0.2585,
      0.3403,
      0.3293,
      0.4173,
      0.1808,
      0.3155,
      0.3073,
      0.1489,
      0.2146,
      0,
      0,
      0.2639,
      0.1137,
      0.319,
      0.1257,
      0.4139,
      0.2151,
      0.3611,
      0.2342,
      0.0418,
      0.4714,
      0.2885,
      0.0788,
      0.2161,
      0.1959,
      0.0952,
      0.1187,
      0.1645,
      0.4641,
      0.4072,
      0.2692,
      0.2967,
      0.1341,
      0.2741,
      0.5077,
      0.1627,
      0.288,
      0.0195,
      0.0225,
      0.2026,
      0.0649,
      0.1079,
      0.1846,
      0.0601,
      0.1013,
      0.3039,
      0.0541,
      0,
      0.5162,
      0.1376,
      0.0194,
      0.0606,
      0.0837,
      0,
      0,
      0.1247,
      0.0752,
      0,
      0,
      0,
      0,
      0,
      0,
      0.294,
      0.1535,
      0.1367,
      0.3259,
      0.3755,
      0.1959,
      0.159,
      0.0571,
      0.1586,
      0.1031,
      0.1924,
      0.3722,
      0.2418,
      0.2087,
      0.1987,
      0.2583,
      0.146,
      0.2195,
      0.1969,
      0.0388,
      0.2479,
      0.1818,
      0.1124,
      0.0513,
      0.2837,
      0.2493,
      0.1355,
      0.1413,
      0.2875,
      0.1357,
      0.2777,
      0.171,
      0.1169,
      0.0918,
      0.0913,
      0.52,
      0.0862,
      0.1392,
      0.3012,
      0.3739,
      0.2182,
      0.2496,
      0.2304,
      0.3045,
      0.2216,
      0.117,
      0.104,
      0.1719,
      0,
      0.5038,
      0.4864,
      0.3199,
      0.5336,
      0.2149,
      0.1816,
      0.2409,
      0.3649,
      0.3336,
      0.1582,
      0.4104,
      0.4953,
      0.3275,
      0,
      0.4282,
      0.2314,
      0,
      0.5397,
      0.0992,
      0.1493,
      0.4437,
      0.4254,
      0,
      0.4208,
      0.4226,
      0.3127,
      0.2322,
      0.2705,
      0.3259,
      0.3522,
      0.3426,
      0.5962,
      0.2604,
      0.165,
      0.2907,
      0.1501,
      0.1467,
      0.006,
      0.0979,
      0.2436,
      0.2186,
      0.1583,
      0.2699,
      0.2256,
      0.1498,
      0.5938,
      0.0284,
      0.1484,
      0.4326,
      0.338,
      0.3538,
      0.1774,
      0.3007,
      0.1077,
      0.1623,
      0.3148,
      0.1964,
      0.4247,
      0.3609,
      0.52,
      0.1017,
      0.0971,
      0.5008,
      0.0856,
      0.2366,
      0.1469,
      0.2814,
      0.2265,
      0.0817,
      0.3847,
      0.4255,
      0.4099,
      0.3016,
      0.4293,
      0.3239,
      0.2322,
      0.4777,
      0.1326,
      0.2075,
      0.1683,
      0.1499,
      0.1165,
      0.193,
      0.4024,
      0.2256,
      0.3245,
      0.1336,
      0.3256,
      0.2784,
      0.1455,
      0.5459,
      0.2596,
      0.1947,
      0.1328,
      0.2567,
      0.2584,
      0.0352,
      0.1143,
      0.3321,
      0.1802,
      0.2505,
      0.2961,
      0.4094,
      0.2102,
      0.5283,
      0.0757,
      0,
      0.3038,
      0.2853,
      0.1544,
      0.2353,
      0.3878,
      0,
      0.2957,
      0.2496,
      0.2803,
      0.4415,
      0.016,
      0.5444,
      0.1571,
      0.2665,
      0.3673,
      0.4362,
      0.173,
      0.2772,
      0.2313,
      0.2692,
      0.1269,
      0.1856,
      0.4374,
      0.4373,
      0.1276,
      0.479,
      0.1379,
      0.1298,
      0.4995,
      0.0853,
      0.1699,
      0.3488,
      0.2482,
      0.0251,
      0.3103,
      0.4078,
      0.0519,
      0.3848,
      0.3058,
      0.2677,
      0.121,
      0.2918,
      0.5381,
      0.1328,
      0.1592,
      0.0348,
      0.3217,
      0.3634,
      0.0807,
      0.2801,
      0.3616,
      0.3143,
      0.283,
      0.2663,
      0.2848,
      0.0503,
      0.5212,
      0.0732,
      0.3396,
      0.2327,
      0.3044,
      0.2642,
      0.0642,
      0.3983,
      0.2672,
      0.1665,
      0.4492,
      0.387,
      0.2927,
      0.1016,
      0.5043,
      0.2064,
      0.1581,
      0.0961,
      0.1408,
      0.287,
      0.1114,
      0.2546,
      0.2835,
      0.224,
      0.2941,
      0.2964,
      0.2173,
      0.2787,
      0.5498,
      0.2371,
      0.2649,
      0.3638,
      0.1602,
      0.3795,
      0.1291,
      0,
      0.2835,
      0.1021,
      0.2885,
      0.1667,
      0.3627,
      0.2195,
      0.4631,
      0.1567,
      0.1269,
      0.5267,
      0.2075,
      0.1132,
      0.1852,
      0.1831,
      0.079,
      0.2109,
      0.1833,
      0.4255,
      0.3251,
      0.2466,
      0.4298,
      0.1657,
      0.1731,
      0.5337,
      0.1897,
      0.282,
      0.1335,
      0.0837,
      0.1501,
      0.046,
      0.0214,
      0.2355,
      0.0693,
      0.0071,
      0.2718,
      0.1245,
      0,
      0.5204,
      0.1455,
      0.1353,
      0.0996,
      0.0668,
      0.006,
      0,
      0.1471,
      0.0448,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2864,
      0.1608,
      0.1729,
      0.2209,
      0.1327,
      0.0677,
      0.1923,
      0.1342,
      0.1277,
      0.1678,
      0.2988,
      0.3058,
      0.2297,
      0.1633,
      0.1579,
      0.1522,
      0.1649,
      0.2399,
      0.2351,
      0.1349,
      0.2693,
      0.1685,
      0.0822,
      0.0962,
      0.2542,
      0.3785,
      0.1812,
      0,
      0.1724,
      0.1365,
      0.2334,
      0.1771,
      0.2711,
      0.092,
      0.061,
      0.5289,
      0.0679,
      0.1725,
      0.2805,
      0.3531,
      0.2362,
      0.2206,
      0.1418,
      0.251,
      0.1967,
      0.2525,
      0.3225,
      0.3083,
      0.0095,
      0.5543,
      0.4381,
      0.4122,
      0.4499,
      0.1965,
      0.1941,
      0.2498,
      0.2966,
      0.304,
      0.1522,
      0.2753,
      0.3176,
      0.3669,
      0.0176,
      0.5195,
      0.1511,
      0,
      0.4398,
      0.2444,
      0.082,
      0.4046,
      0.444,
      0.1175,
      0.2648,
      0.3858,
      0.319,
      0.4582,
      0.3066,
      0.4169,
      0.407,
      0.3754,
      0.5211,
      0.2813,
      0.1402,
      0.3399,
      0.2011,
      0.2051,
      0,
      0.0946,
      0.3394,
      0.2641,
      0.2002,
      0.2991,
      0.2732,
      0.2375,
      0.545,
      0.2193,
      0.2173,
      0.4298,
      0.3922,
      0.4007,
      0.2074,
      0.3317,
      0.1408,
      0.0892,
      0.2412,
      0.2325,
      0.3573,
      0.2749,
      0.5195,
      0.1163,
      0.0662,
      0.4726,
      0.2581,
      0.2454,
      0.0999,
      0.2782,
      0.272,
      0,
      0.3313,
      0.3449,
      0.3745,
      0.3942,
      0.445,
      0.3446,
      0.2948,
      0.4486,
      0.1012,
      0.1501,
      0.155,
      0.1577,
      0.1933,
      0.1337,
      0.3187,
      0.2145,
      0.3562,
      0.074,
      0.3777,
      0.2542,
      0.1892,
      0.5139,
      0.1632,
      0.0821,
      0.1617,
      0.2322,
      0.3068,
      0.0832,
      0.0796,
      0.3196,
      0.2203,
      0.3427,
      0.3672,
      0.3238,
      0.0035,
      0.5275,
      0.0881,
      0,
      0.1437,
      0.259,
      0.2075,
      0.1524,
      0.3689,
      0.009,
      0.4141,
      0.191,
      0.3748,
      0.3521,
      0.0331,
      0.524,
      0.2197,
      0.2938,
      0.5158,
      0.1357,
      0.1956,
      0.4427,
      0.2056,
      0.3746,
      0.1681,
      0.1662,
      0.5104,
      0.3556,
      0.1632,
      0.5464,
      0.3203,
      0.2284,
      0.4659,
      0,
      0.204,
      0.4336,
      0.3143,
      0.0439,
      0.2919,
      0.329,
      0.0912,
      0.3715,
      0.3604,
      0.3951,
      0.1389,
      0.2721,
      0.483,
      0.288,
      0.1638,
      0.0205,
      0.2713,
      0.1704,
      0.1314,
      0.2638,
      0.3816,
      0.3385,
      0.269,
      0.2874,
      0.2459,
      0.1169,
      0.5013,
      0.0026,
      0.3603,
      0.3492,
      0.2552,
      0.2082,
      0.018,
      0.3569,
      0.3186,
      0.2395,
      0.3854,
      0.3727,
      0.2097,
      0.1629,
      0.5361,
      0.2032,
      0.2023,
      0.0701,
      0.247,
      0.3102,
      0.1246,
      0.2294,
      0.3407,
      0.2008,
      0.3434,
      0.2756,
      0.415,
      0.1531,
      0.5149,
      0.322,
      0.2463,
      0.3198,
      0.1788,
      0.3866,
      0.3018,
      0,
      0.3318,
      0.1398,
      0.2515,
      0.2864,
      0.3477,
      0.1267,
      0.4314,
      0.0837,
      0.114,
      0.4755,
      0.1893,
      0.0683,
      0.2173,
      0.2837,
      0.0731,
      0.2096,
      0.1517,
      0.3666,
      0.3164,
      0.3359,
      0.4264,
      0.1742,
      0.146,
      0.4707,
      0.2454,
      0.3057,
      0.1329,
      0.0532,
      0.1635,
      0.0493,
      0,
      0.2303,
      0.148,
      0.024,
      0.2795,
      0.1434,
      0,
      0.5052,
      0.1904,
      0.0355,
      0.106,
      0.1319,
      0.0483,
      0,
      0.1477,
      0.0705,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3185,
      0.148,
      0.1899,
      0.2922,
      0.1925,
      0.1758,
      0.0887,
      0.1687,
      0.1489,
      0.2006,
      0.2387,
      0.26,
      0.1904,
      0.0991,
      0.1482,
      0.1314,
      0.1659,
      0.2594,
      0.2777,
      0.1959,
      0.2628,
      0.1774,
      0.1419,
      0.2074,
      0.3094,
      0.1968,
      0.1248,
      0.0828,
      0.1509,
      0.1967,
      0.1886,
      0.1658,
      0.193,
      0.0752,
      0.1556,
      0.5027,
      0.0306,
      0.2574,
      0.2532,
      0.4378,
      0.4262,
      0.3302,
      0.267,
      0.242,
      0.192,
      0.3454,
      0.1638,
      0.1196,
      0.0253,
      0.5197,
      0.4638,
      0.2946,
      0.404,
      0.4187,
      0.1874,
      0.2142,
      0.3993,
      0.2689,
      0.1738,
      0.2145,
      0.4465,
      0.4211,
      0.0318,
      0.4918,
      0.2135,
      0,
      0.5058,
      0.0045,
      0.1293,
      0.1988,
      0.3471,
      0,
      0.2081,
      0.4477,
      0.3565,
      0.3264,
      0.222,
      0.4024,
      0.3911,
      0.2864,
      0.5573,
      0.2662,
      0.2351,
      0.2287,
      0.1197,
      0.1914,
      0,
      0.1337,
      0.2852,
      0.1848,
      0.1312,
      0.2828,
      0.3023,
      0.0339,
      0.5635,
      0.1935,
      0.3077,
      0.4092,
      0.357,
      0.3697,
      0.1533,
      0.3921,
      0.1739,
      0.1807,
      0.2523,
      0.233,
      0.4603,
      0.3068,
      0.5249,
      0.0371,
      0.1113,
      0.4202,
      0.0477,
      0.2771,
      0.1194,
      0.2518,
      0.2606,
      0.0375,
      0.2753,
      0.4415,
      0.4579,
      0.2785,
      0.4833,
      0.2954,
      0.2046,
      0.3978,
      0.1005,
      0.0718,
      0.2153,
      0.1347,
      0.1819,
      0.0746,
      0.4028,
      0.2162,
      0.4079,
      0.2147,
      0.4138,
      0.2211,
      0.2055,
      0.4836,
      0.2934,
      0.2211,
      0.3249,
      0.2934,
      0.2117,
      0.1279,
      0.0528,
      0.4065,
      0.3032,
      0.2386,
      0.4129,
      0.3927,
      0,
      0.469,
      0.0682,
      0,
      0.1275,
      0.2711,
      0.2141,
      0.1562,
      0.4516,
      0,
      0.2611,
      0.1806,
      0.2954,
      0.4502,
      0,
      0.4699,
      0.1868,
      0.2447,
      0.3045,
      0.1292,
      0.2548,
      0.2319,
      0.2016,
      0.3411,
      0.0018,
      0.1258,
      0.4277,
      0.4427,
      0.2009,
      0.5006,
      0.3498,
      0.2805,
      0.407,
      0.0672,
      0.1564,
      0.3269,
      0.204,
      0.0386,
      0.2544,
      0.3893,
      0.0936,
      0.4609,
      0.3516,
      0.3726,
      0.3091,
      0.3165,
      0.4789,
      0.2058,
      0.2123,
      0,
      0.3373,
      0.1544,
      0.0805,
      0.2837,
      0.4492,
      0.4186,
      0.228,
      0.3361,
      0.2873,
      0.0417,
      0.5101,
      0.0154,
      0.3732,
      0.3441,
      0.2645,
      0.2183,
      0.0663,
      0.4203,
      0.2649,
      0.2934,
      0.3565,
      0.3708,
      0.1793,
      0.2712,
      0.5223,
      0.3221,
      0.1915,
      0.3502,
      0.1738,
      0.2801,
      0.1624,
      0.1946,
      0.1845,
      0.1641,
      0.2538,
      0.439,
      0.3552,
      0.247,
      0.5003,
      0.3764,
      0.3515,
      0.2949,
      0.3329,
      0.2461,
      0.1615,
      0,
      0.3845,
      0.1154,
      0.2917,
      0.1475,
      0.4478,
      0.0805,
      0.5058,
      0.0871,
      0.0904,
      0.4578,
      0.1703,
      0.046,
      0.2033,
      0.2055,
      0.0286,
      0.1942,
      0.2354,
      0.467,
      0.4052,
      0.3866,
      0.3926,
      0.1526,
      0.1255,
      0.5088,
      0.2617,
      0.3482,
      0.175,
      0.0291,
      0.1697,
      0.0868,
      0.0299,
      0.1973,
      0.0774,
      0.0838,
      0.3531,
      0.0086,
      0,
      0.5004,
      0.1471,
      0.0494,
      0.1081,
      0.1239,
      0.1428,
      0,
      0.1413,
      0.1385,
      0.0151,
      0,
      0,
      0,
      0,
      0,
      0.2357,
      0.096,
      0.1552,
      0.2221,
      0.2187,
      0.1387,
      0.0931,
      0.2286,
      0.1041,
      0.0491,
      0.2219,
      0.1544,
      0.2411,
      0.0517,
      0.1109,
      0.1422,
      0.198,
      0.3257,
      0.2035,
      0.0999,
      0.2628,
      0.0659,
      0.0939,
      0.2385,
      0.2672,
      0.135,
      0.0546,
      0.0598,
      0.2206,
      0.1791,
      0.0422,
      0.2357,
      0.2141,
      0.1233,
      0.1285,
      0.526,
      0.0435,
      0.3239,
      0.297,
      0.2825,
      0.1048,
      0.3237,
      0.2788,
      0.3854,
      0.2205,
      0.301,
      0.1638,
      0.1079,
      0,
      0.5506,
      0.4213,
      0.3041,
      0.4317,
      0.1953,
      0.2389,
      0.2422,
      0.4254,
      0.3127,
      0.1568,
      0.359,
      0.4365,
      0.4273,
      0,
      0.4982,
      0.2423,
      0,
      0.4845,
      0,
      0.0067,
      0.2161,
      0.3275,
      0,
      0.2375,
      0.4329,
      0.3076,
      0.3178,
      0.291,
      0.3921,
      0.2689,
      0.2249,
      0.54,
      0.2323,
      0.3186,
      0.1929,
      0.1602,
      0.1348,
      0,
      0.1434,
      0.2199,
      0.1937,
      0.1259,
      0.3312,
      0.3078,
      0,
      0.5269,
      0.317,
      0.2623,
      0.3683,
      0.4412,
      0.4324,
      0.3495,
      0.3865,
      0.1741,
      0.1976,
      0.3252,
      0.1643,
      0.4571,
      0.2271,
      0.4812,
      0,
      0.0583,
      0.4369,
      0.065,
      0.2684,
      0.0869,
      0.3324,
      0.25,
      0.0951,
      0.2676,
      0.4508,
      0.4701,
      0.348,
      0.4471,
      0.1595,
      0.3048,
      0.419,
      0.1143,
      0.0958,
      0.3261,
      0.1918,
      0.2894,
      0.1596,
      0.4097,
      0.1915,
      0.4318,
      0.1773,
      0.3969,
      0.321,
      0.259,
      0.4666,
      0.3082,
      0.3323,
      0.1516,
      0.2496,
      0.1703,
      0.3006,
      0.0938,
      0.4125,
      0.3414,
      0.2125,
      0.4188,
      0.4102,
      0,
      0.4892,
      0.0986,
      0,
      0.1537,
      0.24,
      0.2743,
      0.2568,
      0.4613,
      0.0481,
      0.2182,
      0.1688,
      0.3152,
      0.477,
      0,
      0.4938,
      0.1866,
      0.322,
      0.3456,
      0.217,
      0.282,
      0.2163,
      0.1569,
      0.3307,
      0.1703,
      0.121,
      0.4075,
      0.439,
      0.2518,
      0.5432,
      0.2104,
      0.1141,
      0.4389,
      0.1104,
      0.286,
      0.2866,
      0.3086,
      0.0811,
      0.2713,
      0.3766,
      0.0916,
      0.4748,
      0.322,
      0.434,
      0.1532,
      0.2775,
      0.4492,
      0.1476,
      0.2585,
      0.0007,
      0.2727,
      0.1959,
      0.0722,
      0.3205,
      0.4717,
      0.4334,
      0.1605,
      0.3669,
      0.2516,
      0.1866,
      0.4852,
      0.0846,
      0.3738,
      0.2753,
      0.2095,
      0.1897,
      0.0459,
      0.4362,
      0.2093,
      0.2953,
      0.3715,
      0.4198,
      0.2916,
      0.1762,
      0.5083,
      0.2429,
      0.3381,
      0.2495,
      0.1782,
      0.1702,
      0.309,
      0.165,
      0.179,
      0.2722,
      0.3296,
      0.2745,
      0.1747,
      0.3184,
      0.5073,
      0.3503,
      0.4387,
      0.3374,
      0.2919,
      0.0869,
      0.2219,
      0,
      0.3766,
      0.0782,
      0.242,
      0.1571,
      0.4664,
      0.0515,
      0.4525,
      0.1517,
      0.0048,
      0.4361,
      0.1513,
      0.1581,
      0.1753,
      0.1569,
      0.0998,
      0.1836,
      0.2907,
      0.4689,
      0.3973,
      0.3731,
      0.3655,
      0.0812,
      0.19,
      0.4545,
      0.2602,
      0.2675,
      0.0312,
      0,
      0.1781,
      0.0976,
      0,
      0.2262,
      0.018,
      0.0762,
      0.326,
      0,
      0,
      0.5073,
      0.0845,
      0.0143,
      0.1418,
      0.1181,
      0.0841,
      0,
      0.2037,
      0.0044,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1927,
      0.1398,
      0.1895,
      0.1497,
      0.1212,
      0.1326,
      0.216,
      0.1783,
      0.1326,
      0.0066,
      0.1693,
      0.1696,
      0.2509,
      0.0674,
      0.1704,
      0.1164,
      0.179,
      0.2895,
      0.0827,
      0.1511,
      0.2783,
      0.0469,
      0.014,
      0.2274,
      0.1315,
      0.2144,
      0.0277,
      0.128,
      0.1726,
      0.2251,
      0.0412,
      0.2561,
      0.237,
      0.086,
      0.2316,
      0.5296,
      0,
      0.2328,
      0.292,
      0.202,
      0.1807,
      0.1939,
      0.3045,
      0.2457,
      0.2024,
      0.1389,
      0.1436,
      0.2523,
      0,
      0.516,
      0.4742,
      0.3647,
      0.408,
      0.2094,
      0.2272,
      0.2828,
      0.3881,
      0.3319,
      0.1162,
      0.2921,
      0.4641,
      0.328,
      0,
      0.4666,
      0.2132,
      0,
      0.4394,
      0.0279,
      0.1305,
      0.1458,
      0.4423,
      0,
      0.2499,
      0.4726,
      0.3155,
      0.1881,
      0.2765,
      0.395,
      0.2716,
      0.1591,
      0.4177,
      0.2497,
      0.3281,
      0.2091,
      0.1238,
      0.1399,
      0,
      0.1045,
      0.1739,
      0.2204,
      0.2024,
      0.3256,
      0.2454,
      0.0191,
      0.3246,
      0.1237,
      0.1066,
      0.3393,
      0.4573,
      0.2733,
      0.1611,
      0.3144,
      0.1234,
      0.0782,
      0.3332,
      0.1538,
      0.478,
      0.2428,
      0.437,
      0,
      0.1247,
      0.4165,
      0,
      0.2709,
      0.0912,
      0.3895,
      0.1897,
      0,
      0.1917,
      0.4713,
      0.4514,
      0.4237,
      0.3644,
      0.2344,
      0.2995,
      0.4064,
      0.1333,
      0.1031,
      0.1912,
      0.1336,
      0.2403,
      0.0904,
      0.4359,
      0.2095,
      0.3314,
      0.1481,
      0.4011,
      0.2499,
      0.2849,
      0.5056,
      0.2231,
      0.2368,
      0.2186,
      0.195,
      0.1594,
      0.2162,
      0.1985,
      0.3323,
      0.2524,
      0.2071,
      0.367,
      0.4449,
      0,
      0.5248,
      0.3051,
      0,
      0.1101,
      0.323,
      0.2062,
      0.1512,
      0.398,
      0,
      0.1374,
      0.2624,
      0.2574,
      0.4844,
      0,
      0.5101,
      0.3109,
      0.3219,
      0.37,
      0.202,
      0.2799,
      0.264,
      0.2057,
      0.2197,
      0.1252,
      0.1818,
      0.443,
      0.4731,
      0.3573,
      0.4927,
      0.2985,
      0.1582,
      0.4239,
      0.1574,
      0.2032,
      0.267,
      0.2677,
      0.034,
      0.2816,
      0.4432,
      0.0704,
      0.4334,
      0.2802,
      0.3577,
      0.0897,
      0.2519,
      0.5091,
      0.0936,
      0.1616,
      0,
      0.3369,
      0.2752,
      0.0075,
      0.1543,
      0.4219,
      0.3223,
      0.1034,
      0.3638,
      0.2775,
      0.2115,
      0.4691,
      0.1303,
      0.258,
      0.2265,
      0.2783,
      0.2571,
      0.0594,
      0.4072,
      0.2912,
      0.252,
      0.3275,
      0.4062,
      0.1815,
      0.2146,
      0.3835,
      0.2182,
      0.2614,
      0.2382,
      0.2281,
      0.2065,
      0.2165,
      0.2441,
      0.153,
      0.2256,
      0.2986,
      0.3071,
      0.2602,
      0.2149,
      0.4115,
      0.2596,
      0.3508,
      0.3446,
      0.1897,
      0.0903,
      0.0758,
      0,
      0.3387,
      0.1937,
      0.2802,
      0.0966,
      0.4097,
      0.1492,
      0.3805,
      0.2475,
      0.0294,
      0.4224,
      0.1713,
      0.1001,
      0.222,
      0.1417,
      0.1903,
      0.2381,
      0.2875,
      0.4833,
      0.3171,
      0.3404,
      0.3877,
      0.1,
      0.2467,
      0.425,
      0.2087,
      0.2954,
      0.0025,
      0.0152,
      0.1505,
      0.1161,
      0.0105,
      0.2066,
      0,
      0.0298,
      0.2761,
      0,
      0,
      0.4678,
      0.0978,
      0,
      0.1591,
      0.1871,
      0.017,
      0,
      0.181,
      0.0704,
      0,
      0,
      0,
      0,
      0,
      0,
      0.314,
      0.0871,
      0.2301,
      0.2526,
      0.1626,
      0.0839,
      0.1916,
      0.0182,
      0.1076,
      0.0048,
      0.0598,
      0.2076,
      0.2144,
      0.0437,
      0.1377,
      0.1407,
      0.2261,
      0.2183,
      0.1665,
      0.1011,
      0.2592,
      0.118,
      0,
      0.1061,
      0.1205,
      0.2336,
      0.0597,
      0.1037,
      0.1086,
      0.2549,
      0.1656,
      0.3318,
      0.2726,
      0.0883,
      0.3552,
      0.4903,
      0,
      0.1498,
      0.2722,
      0.2555,
      0.2071,
      0.2191,
      0.1218,
      0.2193,
      0.1987,
      0.0749,
      0.2282,
      0.1595,
      0.0032,
      0.5,
      0.322,
      0.3027,
      0.3871,
      0.1145,
      0.205,
      0.2514,
      0.3365,
      0.4354,
      0.171,
      0.2632,
      0.413,
      0.4619,
      0,
      0.4723,
      0.4007,
      0,
      0.4709,
      0.0292,
      0.1602,
      0.2446,
      0.5078,
      0.1204,
      0.328,
      0.4794,
      0.2437,
      0.2294,
      0.2986,
      0.2788,
      0.3379,
      0.2125,
      0.5186,
      0.4578,
      0.3252,
      0.3396,
      0.1711,
      0.3986,
      0,
      0.1636,
      0.2344,
      0.2024,
      0.2224,
      0.3833,
      0.4094,
      0.0199,
      0.5127,
      0.1795,
      0.1982,
      0.3469,
      0.3963,
      0.3913,
      0.0774,
      0.3407,
      0.1368,
      0.1971,
      0.2944,
      0.212,
      0.4115,
      0.2286,
      0.5449,
      0.2013,
      0.0673,
      0.3922,
      0.0885,
      0.2495,
      0.1104,
      0.3346,
      0.2314,
      0.0246,
      0.2493,
      0.41,
      0.4076,
      0.2597,
      0.4586,
      0.2112,
      0.2286,
      0.3924,
      0.1645,
      0.0529,
      0.2216,
      0.1039,
      0.1952,
      0.222,
      0.3921,
      0.2459,
      0.3593,
      0.2595,
      0.4252,
      0.227,
      0.1703,
      0.4286,
      0.2995,
      0.2566,
      0.3045,
      0.2448,
      0.2794,
      0.086,
      0.3336,
      0.324,
      0.2175,
      0.2149,
      0.4014,
      0.5098,
      0.0084,
      0.4347,
      0.466,
      0.0874,
      0.174,
      0.3022,
      0.2792,
      0.1058,
      0.4065,
      0,
      0.1382,
      0.3006,
      0.2968,
      0.4247,
      0.0049,
      0.5081,
      0.2806,
      0.4636,
      0.3329,
      0.1645,
      0.2218,
      0.1884,
      0.2111,
      0.2418,
      0.3322,
      0.2267,
      0.4029,
      0.4561,
      0.4785,
      0.4818,
      0.5092,
      0.0573,
      0.454,
      0.4749,
      0.2777,
      0.2181,
      0.206,
      0.1585,
      0.2645,
      0.4271,
      0.1833,
      0.4084,
      0.2915,
      0.3727,
      0.0957,
      0.2684,
      0.4332,
      0.1758,
      0.1582,
      0,
      0.27,
      0.2379,
      0.0496,
      0.2532,
      0.3751,
      0.3627,
      0.1179,
      0.3557,
      0.2361,
      0.2312,
      0.4807,
      0.0822,
      0.3298,
      0.2736,
      0.1928,
      0.3516,
      0.0213,
      0.3534,
      0.2568,
      0.2408,
      0.2329,
      0.2498,
      0.1727,
      0.253,
      0.5147,
      0.2406,
      0.309,
      0.2771,
      0.2146,
      0.2187,
      0.1869,
      0.2929,
      0.0828,
      0.1888,
      0.2879,
      0.3092,
      0.193,
      0.1956,
      0.4773,
      0.2389,
      0.2422,
      0.3327,
      0.2204,
      0.2037,
      0.062,
      0,
      0.1729,
      0.1383,
      0.2966,
      0.116,
      0.3447,
      0.1636,
      0.5062,
      0.2053,
      0.1035,
      0.4308,
      0.2008,
      0.1695,
      0.1615,
      0.043,
      0.0927,
      0.1295,
      0.2895,
      0.4228,
      0.3165,
      0.3624,
      0.3952,
      0.1313,
      0.2131,
      0.457,
      0.1965,
      0.3209,
      0.0273,
      0,
      0.0831,
      0,
      0,
      0.1898,
      0,
      0,
      0.3334,
      0,
      0,
      0.474,
      0.1242,
      0,
      0.1674,
      0.0836,
      0.093,
      0,
      0.2399,
      0.0087,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3354,
      0.0574,
      0.2277,
      0.2354,
      0.2133,
      0.0968,
      0.1031,
      0.0851,
      0.1322,
      0.0415,
      0.1428,
      0.1799,
      0.1463,
      0.0359,
      0.1059,
      0.2144,
      0.0618,
      0.1728,
      0.1047,
      0.0828,
      0.1533,
      0.1847,
      0.0119,
      0.1268,
      0.1129,
      0.239,
      0.0551,
      0.0873,
      0.2609,
      0.2376,
      0.1736,
      0.2354,
      0.2287,
      0.0655,
      0.1984,
      0.4825,
      0.0271,
      0.1182,
      0.321,
      0.3048,
      0.2191,
      0.3298,
      0.1788,
      0.2246,
      0.2912,
      0.0897,
      0.1923,
      0.1246,
      0.0492,
      0.4877,
      0.4091,
      0.1439,
      0.4544,
      0.1992,
      0.2172,
      0.2101,
      0.3674,
      0.3313,
      0.1471,
      0.3251,
      0.4317,
      0.3625,
      0,
      0.45,
      0.2926,
      0,
      0.4636,
      0.0185,
      0.1558,
      0.2404,
      0.4329,
      0,
      0.3109,
      0.4448,
      0.253,
      0.2635,
      0.2916,
      0.299,
      0.3758,
      0.2832,
      0.4742,
      0.2242,
      0.4265,
      0.2898,
      0.1756,
      0.2572,
      0,
      0.0315,
      0.214,
      0.2245,
      0.1396,
      0.3307,
      0.2013,
      0,
      0.4436,
      0.2601,
      0.1511,
      0.3697,
      0.3329,
      0.3813,
      0.1687,
      0.3519,
      0.1158,
      0.2478,
      0.2376,
      0.1634,
      0.428,
      0.1802,
      0.4771,
      0.1162,
      0.0416,
      0.4524,
      0.0828,
      0.2293,
      0.1598,
      0.3301,
      0.3255,
      0.0025,
      0.3225,
      0.4194,
      0.435,
      0.3079,
      0.3797,
      0.1549,
      0.2504,
      0.4414,
      0.0473,
      0.0718,
      0.2078,
      0.1044,
      0.0942,
      0.2232,
      0.3299,
      0.2413,
      0.3787,
      0.1286,
      0.3815,
      0.1825,
      0.1643,
      0.4531,
      0.2775,
      0.2107,
      0.2761,
      0.2113,
      0.3362,
      0.1822,
      0.2212,
      0.3517,
      0.2595,
      0.2409,
      0.3866,
      0.3236,
      0,
      0.4728,
      0.2619,
      0,
      0.2082,
      0.3034,
      0.2951,
      0.1166,
      0.4265,
      0.036,
      0.1851,
      0.2395,
      0.3033,
      0.4255,
      0,
      0.4667,
      0.2247,
      0.3776,
      0.386,
      0.169,
      0.2276,
      0.2353,
      0.137,
      0.2594,
      0.1688,
      0.2154,
      0.3335,
      0.441,
      0.3274,
      0.4812,
      0.3907,
      0.1264,
      0.4494,
      0.335,
      0.2593,
      0.2217,
      0.1749,
      0.0467,
      0.2627,
      0.3205,
      0.1365,
      0.4441,
      0.2676,
      0.4133,
      0.0992,
      0.2648,
      0.3955,
      0.2106,
      0.0802,
      0,
      0.2324,
      0.3294,
      0,
      0.2622,
      0.4314,
      0.3513,
      0.1424,
      0.3878,
      0.2215,
      0.25,
      0.4596,
      0.1217,
      0.3247,
      0.2468,
      0.2186,
      0.3174,
      0.0676,
      0.4288,
      0.3041,
      0.2498,
      0.1287,
      0.2378,
      0.1899,
      0.1958,
      0.4115,
      0.3089,
      0.1918,
      0.2787,
      0.3448,
      0.3207,
      0.1332,
      0.2369,
      0.1729,
      0.2274,
      0.2996,
      0.2167,
      0.2186,
      0.2226,
      0.4497,
      0.2412,
      0.2956,
      0.3712,
      0.1977,
      0.1239,
      0.0254,
      0,
      0.271,
      0.1526,
      0.2405,
      0.1643,
      0.4158,
      0.1332,
      0.4055,
      0.1897,
      0.0877,
      0.4482,
      0.1556,
      0.1382,
      0.2182,
      0.067,
      0.1563,
      0.1781,
      0.3237,
      0.4184,
      0.3427,
      0.2724,
      0.378,
      0.1713,
      0.1025,
      0.4614,
      0.2058,
      0.3236,
      0.0144,
      0.0007,
      0.1448,
      0,
      0,
      0.1281,
      0.1401,
      0.0109,
      0.3078,
      0,
      0,
      0.3789,
      0.1331,
      0,
      0.1819,
      0.1598,
      0.1478,
      0,
      0.1561,
      0.1378,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2498,
      0.0804,
      0.1732,
      0.1745,
      0.331,
      0.1724,
      0.1786,
      0.0361,
      0.0781,
      0.0288,
      0.0589,
      0.2546,
      0.1465,
      0.1788,
      0.1882,
      0.2197,
      0.1411,
      0.2061,
      0.0559,
      0.0172,
      0.211,
      0.1282,
      0.1102,
      0.0702,
      0.1917,
      0.2096,
      0,
      0.1868,
      0.2435,
      0.1323,
      0.1172,
      0.1482,
      0.3028,
      0.0761,
      0.2383,
      0.4531,
      0.0895,
      0.0935,
      0.3448,
      0.269,
      0.2017,
      0.1282,
      0.1617,
      0.2611,
      0.2201,
      0.1946,
      0.1869,
      0.1634,
      0.0353,
      0.4832,
      0.4551,
      0.1579,
      0.459,
      0.2263,
      0.123,
      0.2615,
      0.3624,
      0.4036,
      0.1191,
      0.3376,
      0.2941,
      0.2936,
      0,
      0.3993,
      0.2199,
      0,
      0.4471,
      0.0332,
      0.1002,
      0.2832,
      0.3454,
      0,
      0.2975,
      0.3653,
      0.335,
      0.2015,
      0.3548,
      0.2993,
      0.3511,
      0.3887,
      0.4984,
      0.2882,
      0.176,
      0.2946,
      0.2191,
      0.1876,
      0,
      0.0837,
      0.2302,
      0.242,
      0.1197,
      0.3143,
      0.2126,
      0.0886,
      0.4622,
      0.295,
      0.1611,
      0.3764,
      0.3603,
      0.3494,
      0.1558,
      0.2619,
      0.1532,
      0.2553,
      0.2435,
      0.233,
      0.3252,
      0.2259,
      0.4749,
      0.147,
      0.0956,
      0.4686,
      0.0587,
      0.2197,
      0.0887,
      0.2823,
      0.2503,
      0.0514,
      0.2625,
      0.3509,
      0.2963,
      0.3765,
      0.3916,
      0.2422,
      0.254,
      0.4454,
      0.105,
      0.0902,
      0.0884,
      0.0791,
      0.1302,
      0.2018,
      0.2372,
      0.1422,
      0.3094,
      0.0729,
      0.3104,
      0.1527,
      0.2632,
      0.5135,
      0.2034,
      0.2951,
      0.1535,
      0.2507,
      0.2519,
      0.0823,
      0.1239,
      0.2877,
      0.1302,
      0.2298,
      0.2875,
      0.2288,
      0,
      0.5184,
      0.028,
      0,
      0.2064,
      0.3638,
      0.2295,
      0.156,
      0.333,
      0,
      0.2116,
      0.2488,
      0.267,
      0.321,
      0,
      0.4882,
      0.1648,
      0.1789,
      0.3722,
      0.1622,
      0.221,
      0.2113,
      0.1769,
      0.2548,
      0.0848,
      0.1897,
      0.2728,
      0.3061,
      0.2842,
      0.4205,
      0.3719,
      0.2926,
      0.4364,
      0.172,
      0.2139,
      0.2465,
      0.29,
      0.0228,
      0.2551,
      0.3306,
      0.1883,
      0.3491,
      0.2379,
      0.3352,
      0.262,
      0.2427,
      0.5071,
      0.2627,
      0.1104,
      0,
      0.2532,
      0.2069,
      0.1408,
      0.1795,
      0.3525,
      0.2823,
      0.1121,
      0.3753,
      0.1336,
      0.1796,
      0.4592,
      0.1269,
      0.2825,
      0.2389,
      0.1477,
      0.229,
      0.0688,
      0.3305,
      0.3121,
      0.1562,
      0.2487,
      0.3805,
      0.3031,
      0.2448,
      0.508,
      0.1774,
      0.2032,
      0.1287,
      0.2507,
      0.1978,
      0.1449,
      0.1955,
      0.1537,
      0.1793,
      0.1553,
      0.2399,
      0.1977,
      0.2363,
      0.4365,
      0.2107,
      0.3052,
      0.3648,
      0.1065,
      0.1552,
      0.0434,
      0,
      0.3072,
      0.1299,
      0.2051,
      0.1675,
      0.3295,
      0.1741,
      0.4566,
      0.2275,
      0.0504,
      0.4672,
      0.2343,
      0.0892,
      0.1854,
      0.1625,
      0.14,
      0.14,
      0.2456,
      0.3404,
      0.255,
      0.2876,
      0.4158,
      0.1536,
      0.1299,
      0.4527,
      0.1456,
      0.2643,
      0.1664,
      0,
      0.1819,
      0.0648,
      0.0115,
      0.1385,
      0.1085,
      0.0648,
      0.2455,
      0.127,
      0,
      0.5001,
      0.1692,
      0,
      0.1782,
      0.2082,
      0.1278,
      0,
      0.0595,
      0.1089,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2092,
      0.1303,
      0.0912,
      0.1897,
      0.2893,
      0.1049,
      0.1428,
      0.1336,
      0.1044,
      0.1166,
      0.1474,
      0.337,
      0.1873,
      0.2252,
      0.1273,
      0.2344,
      0.2594,
      0.2402,
      0.1329,
      0.1039,
      0.2708,
      0.205,
      0.0923,
      0.0837,
      0.2116,
      0.23,
      0.1827,
      0.1481,
      0.1887,
      0.0978,
      0.2113,
      0.1711,
      0.2525,
      0.1421,
      0.1296,
      0.5306,
      0.052,
      0.1247,
      0.2919,
      0.2105,
      0.2466,
      0.3042,
      0.1753,
      0.2244,
      0.1975,
      0.3482,
      0.3582,
      0.304,
      0.0168,
      0.5324,
      0.3809,
      0.2804,
      0.3706,
      0.3452,
      0.1361,
      0.2462,
      0.3548,
      0.4514,
      0.2526,
      0.3634,
      0.3996,
      0.2461,
      0.0829,
      0.4681,
      0.2393,
      0,
      0.4362,
      0.366,
      0.0215,
      0.3175,
      0.4343,
      0,
      0.2762,
      0.3469,
      0.2709,
      0.4496,
      0.3945,
      0.3214,
      0.3789,
      0.4319,
      0.5345,
      0.2117,
      0.1211,
      0.3081,
      0.2418,
      0.1685,
      0,
      0.112,
      0.2497,
      0.2049,
      0.1003,
      0.235,
      0.232,
      0.1872,
      0.5538,
      0.2358,
      0.2254,
      0.3138,
      0.436,
      0.422,
      0.2181,
      0.2646,
      0.1807,
      0.2454,
      0.2608,
      0.1622,
      0.3647,
      0.1806,
      0.5501,
      0.1503,
      0,
      0.4205,
      0.0666,
      0.2605,
      0.1357,
      0.2488,
      0.1972,
      0.061,
      0.2987,
      0.3663,
      0.2517,
      0.3357,
      0.3962,
      0.2052,
      0.2399,
      0.4022,
      0.0895,
      0.0677,
      0.1579,
      0.0946,
      0.1496,
      0.1132,
      0.324,
      0.1488,
      0.2677,
      0.0982,
      0.3628,
      0.2692,
      0.239,
      0.449,
      0.3847,
      0.2386,
      0.2343,
      0.0984,
      0.1564,
      0.0747,
      0.0527,
      0.3638,
      0.201,
      0.3808,
      0.3243,
      0.321,
      0,
      0.488,
      0.1013,
      0,
      0.3587,
      0.4605,
      0.1887,
      0.0686,
      0.3371,
      0,
      0.2871,
      0.1928,
      0.2719,
      0.3423,
      0.0162,
      0.4736,
      0.1922,
      0.2604,
      0.4779,
      0.1979,
      0.2861,
      0.4338,
      0.1159,
      0.4184,
      0.1693,
      0.1989,
      0.5094,
      0.3418,
      0.2992,
      0.4529,
      0.1697,
      0.3599,
      0.3837,
      0.1869,
      0.1989,
      0.3207,
      0.312,
      0.0453,
      0.2543,
      0.3602,
      0.1497,
      0.3106,
      0.2859,
      0.468,
      0.3026,
      0.3466,
      0.4892,
      0.3541,
      0.1685,
      0.0135,
      0.2695,
      0.2548,
      0.0988,
      0.2508,
      0.3491,
      0.2127,
      0.2162,
      0.3494,
      0.2078,
      0.1111,
      0.5267,
      0.1647,
      0.298,
      0.1736,
      0.1932,
      0.2599,
      0.0361,
      0.3535,
      0.2847,
      0.2006,
      0.2404,
      0.2919,
      0.2067,
      0.2141,
      0.5681,
      0.3547,
      0.1781,
      0.2111,
      0.1539,
      0.1846,
      0.1495,
      0.2028,
      0.3805,
      0.212,
      0.3217,
      0.3153,
      0.3781,
      0.2187,
      0.5309,
      0.232,
      0.2702,
      0.3241,
      0.3137,
      0.1868,
      0.2862,
      0.0015,
      0.3031,
      0.1409,
      0.2573,
      0.1599,
      0.3022,
      0.0995,
      0.5387,
      0.1811,
      0,
      0.4229,
      0.1362,
      0.1004,
      0.1663,
      0.1144,
      0.102,
      0.1742,
      0.2308,
      0.4074,
      0.1938,
      0.3814,
      0.3595,
      0.146,
      0.124,
      0.4878,
      0.1666,
      0.3193,
      0.1758,
      0.0149,
      0.1479,
      0.1468,
      0.0166,
      0.1785,
      0.125,
      0.0738,
      0.2693,
      0.0021,
      0,
      0.5445,
      0.1098,
      0,
      0.1725,
      0.1799,
      0.0689,
      0,
      0.1395,
      0.1018,
      0,
      0,
      0,
      0,
      0,
      0,
      0.249,
      0.1717,
      0.1683,
      0.2656,
      0.1999,
      0.1133,
      0.1613,
      0.1874,
      0.1263,
      0.195,
      0.1356,
      0.2954,
      0.2504,
      0.1723,
      0.1712,
      0.1982,
      0.1778,
      0.2063,
      0.1695,
      0.116,
      0.2672,
      0.2479,
      0.1909,
      0.0844,
      0.2319,
      0.1953,
      0.1706,
      0.1599,
      0.1279,
      0.1343,
      0.1859,
      0.1799,
      0.2142,
      0.126,
      0.022,
      0.5309,
      0.0526,
      0.1622,
      0.3227,
      0.3958,
      0.4207,
      0.1921,
      0.1426,
      0.3655,
      0.2295,
      0.3771,
      0.1534,
      0.1653,
      0,
      0.5576,
      0.4286,
      0.1485,
      0.4719,
      0.4008,
      0.162,
      0.2445,
      0.3359,
      0.3832,
      0.2052,
      0.3666,
      0.4909,
      0.2909,
      0.0623,
      0.4075,
      0.1465,
      0,
      0.5254,
      0.1103,
      0.0498,
      0.3116,
      0.2755,
      0,
      0.3309,
      0.386,
      0.4213,
      0.3573,
      0.2784,
      0.3486,
      0.3111,
      0.3804,
      0.5406,
      0.1934,
      0.1262,
      0.2933,
      0.2792,
      0.1283,
      0.0804,
      0.1585,
      0.302,
      0.26,
      0.0759,
      0.2898,
      0.2442,
      0.0231,
      0.5196,
      0.3601,
      0.1267,
      0.3747,
      0.4736,
      0.4415,
      0.3963,
      0.2667,
      0.2289,
      0.2583,
      0.2207,
      0.1298,
      0.3656,
      0.2397,
      0.5314,
      0.1635,
      0.0729,
      0.4744,
      0.2091,
      0.1638,
      0.2191,
      0.3067,
      0.2349,
      0.0217,
      0.3625,
      0.3974,
      0.3866,
      0.2862,
      0.368,
      0.1938,
      0.3612,
      0.4545,
      0.0653,
      0.157,
      0.269,
      0.1267,
      0.1943,
      0.1461,
      0.3457,
      0.1754,
      0.3348,
      0.0958,
      0.3922,
      0.2632,
      0.3349,
      0.5126,
      0.2322,
      0.3863,
      0.371,
      0.1433,
      0.204,
      0.4034,
      0.1393,
      0.2844,
      0.1891,
      0.3345,
      0.3231,
      0.3311,
      0.0793,
      0.5834,
      0.1153,
      0,
      0.3409,
      0.3068,
      0.1601,
      0.1988,
      0.3551,
      0,
      0.1646,
      0.2327,
      0.2451,
      0.4136,
      0,
      0.5711,
      0.1242,
      0.3418,
      0.3849,
      0.3738,
      0.2829,
      0.2055,
      0.1792,
      0.2748,
      0.0524,
      0.1021,
      0.368,
      0.3726,
      0.2857,
      0.4621,
      0.2068,
      0.2,
      0.488,
      0.2059,
      0.1609,
      0.3126,
      0.2702,
      0.1103,
      0.2031,
      0.3499,
      0.1391,
      0.379,
      0.3483,
      0.3939,
      0.1176,
      0.2895,
      0.531,
      0.1981,
      0.3081,
      0.0449,
      0.3541,
      0.1636,
      0.142,
      0.2094,
      0.3831,
      0.308,
      0.2244,
      0.3201,
      0.2495,
      0.1053,
      0.5249,
      0.1931,
      0.283,
      0.242,
      0.1766,
      0.265,
      0.0305,
      0.3639,
      0.3069,
      0.2491,
      0.3269,
      0.3295,
      0.2082,
      0.3546,
      0.5687,
      0.2721,
      0.3595,
      0.3569,
      0.1025,
      0.2451,
      0.3818,
      0.2003,
      0.1943,
      0.2666,
      0.1853,
      0.3445,
      0.2277,
      0.4019,
      0.5081,
      0.4464,
      0.252,
      0.3749,
      0.2259,
      0.1066,
      0.2449,
      0,
      0.3333,
      0.127,
      0.2051,
      0.1959,
      0.339,
      0.1223,
      0.5413,
      0.0808,
      0,
      0.4754,
      0.2264,
      0.2189,
      0.1291,
      0.1003,
      0.0819,
      0.1616,
      0.2875,
      0.3782,
      0.2547,
      0.2579,
      0.4309,
      0.182,
      0.1765,
      0.505,
      0.0898,
      0.3447,
      0.1708,
      0,
      0.0963,
      0.1718,
      0.1071,
      0.197,
      0.0673,
      0.0343,
      0.3162,
      0.0102,
      0,
      0.5572,
      0.0665,
      0.03,
      0.1675,
      0.1821,
      0.0214,
      0.0039,
      0.1522,
      0.0479,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2208,
      0.178,
      0.2134,
      0.1699,
      0.1055,
      0.2309,
      0.1068,
      0.212,
      0.0828,
      0.1179,
      0.2158,
      0.2987,
      0.2741,
      0.1067,
      0.0673,
      0.1271,
      0.1174,
      0.2798,
      0.1205,
      0.2358,
      0.2813,
      0.1504,
      0.1472,
      0.1376,
      0.1957,
      0.1927,
      0.1454,
      0.1759,
      0.1566,
      0.1231,
      0.1658,
      0.2289,
      0.2487,
      0.1227,
      0.0955,
      0.495,
      0.0373,
      0.3113,
      0.2833,
      0.2292,
      0.2244,
      0.3089,
      0.2015,
      0.2956,
      0.2739,
      0.3279,
      0.2431,
      0.2357,
      0.0212,
      0.4921,
      0.3911,
      0.0888,
      0.4321,
      0.2465,
      0.097,
      0.276,
      0.2943,
      0.3249,
      0.1912,
      0.2531,
      0.3816,
      0.3784,
      0,
      0.3338,
      0.2412,
      0,
      0.3808,
      0,
      0.1661,
      0.2392,
      0.3123,
      0,
      0.2828,
      0.4115,
      0.2902,
      0.217,
      0.2589,
      0.2777,
      0.3419,
      0.2833,
      0.5148,
      0.17,
      0.1105,
      0.3466,
      0.2484,
      0.2219,
      0,
      0.1853,
      0.1777,
      0.2604,
      0.0922,
      0.2934,
      0.2349,
      0,
      0.4851,
      0.1434,
      0.1221,
      0.3435,
      0.4774,
      0.4797,
      0.1332,
      0.3381,
      0.217,
      0.1671,
      0.2534,
      0.1544,
      0.4112,
      0.1713,
      0.4314,
      0.1645,
      0.0586,
      0.4414,
      0.1312,
      0.2142,
      0.1557,
      0.2714,
      0.2854,
      0.0344,
      0.3051,
      0.4107,
      0.4147,
      0.357,
      0.2797,
      0.0385,
      0.1974,
      0.4286,
      0.1212,
      0.2078,
      0.206,
      0.1262,
      0.2205,
      0.2249,
      0.3095,
      0.1086,
      0.3751,
      0.2743,
      0.3286,
      0.2287,
      0.287,
      0.462,
      0.2145,
      0.3232,
      0.2108,
      0.1379,
      0.2514,
      0.2431,
      0.21,
      0.3282,
      0.2108,
      0.1459,
      0.2993,
      0.3425,
      0,
      0.4914,
      0.0519,
      0,
      0.2425,
      0.2295,
      0.1536,
      0.0626,
      0.432,
      0,
      0.2,
      0.2178,
      0.233,
      0.4213,
      0.0154,
      0.4344,
      0.2071,
      0.3405,
      0.3666,
      0.2401,
      0.2779,
      0.2909,
      0.1772,
      0.2241,
      0.1054,
      0.1553,
      0.3374,
      0.3958,
      0.2492,
      0.3837,
      0.2649,
      0.2091,
      0.4254,
      0.1076,
      0.1275,
      0.391,
      0.2394,
      0.0911,
      0.306,
      0.3654,
      0.1198,
      0.4293,
      0.1608,
      0.3534,
      0.1238,
      0.2687,
      0.4592,
      0.2081,
      0.1669,
      0.0149,
      0.3122,
      0.1698,
      0.0337,
      0.2621,
      0.4329,
      0.3561,
      0.1968,
      0.2575,
      0.2776,
      0.1887,
      0.4726,
      0.2136,
      0.3343,
      0.1917,
      0.1217,
      0.1931,
      0.0813,
      0.4122,
      0.1704,
      0.2464,
      0.3103,
      0.2994,
      0.183,
      0.1485,
      0.4666,
      0.1898,
      0.3526,
      0.1689,
      0.2238,
      0.2292,
      0.293,
      0.2916,
      0.17,
      0.2352,
      0.2546,
      0.2365,
      0.3143,
      0.4066,
      0.4803,
      0.2494,
      0.1556,
      0.3243,
      0.1432,
      0.1975,
      0,
      0,
      0.2683,
      0.1262,
      0.2563,
      0.165,
      0.4154,
      0.1773,
      0.4448,
      0.1115,
      0.0514,
      0.4499,
      0.2789,
      0.1921,
      0.1843,
      0.1021,
      0.1561,
      0.0705,
      0.2294,
      0.4284,
      0.3171,
      0.3071,
      0.3426,
      0.1589,
      0.2142,
      0.4341,
      0.1457,
      0.2934,
      0.0484,
      0.0595,
      0.1062,
      0.0909,
      0,
      0.2611,
      0.1227,
      0.0742,
      0.2511,
      0,
      0.0756,
      0.4922,
      0.0957,
      0,
      0.1622,
      0.1712,
      0.0873,
      0.0619,
      0.098,
      0.1549,
      0.0039,
      0,
      0,
      0,
      0,
      0,
      0.2091,
      0.0809,
      0.2396,
      0.1599,
      0.1834,
      0.1887,
      0.0674,
      0.1666,
      0.0804,
      0.0608,
      0.0843,
      0.1987,
      0.2743,
      0.1245,
      0.1514,
      0.143,
      0.1397,
      0.2109,
      0.1508,
      0.2201,
      0.2507,
      0.1379,
      0.1424,
      0.2141,
      0.2074,
      0.269,
      0.134,
      0.1401,
      0.1378,
      0.1857,
      0.232,
      0.2224,
      0.1579,
      0.1106,
      0.1823,
      0.493,
      0.0917,
      0.3084,
      0.2614,
      0.2143,
      0.2656,
      0.2052,
      0.2385,
      0.3213,
      0.3075,
      0.1723,
      0.2497,
      0.2144,
      0.0816,
      0.523,
      0.3164,
      0.186,
      0.3461,
      0.2023,
      0.1436,
      0.2368,
      0.2922,
      0.3273,
      0.2078,
      0.3388,
      0.3727,
      0.376,
      0,
      0.4391,
      0.2065,
      0,
      0.4597,
      0,
      0.1451,
      0.2321,
      0.3019,
      0,
      0.2665,
      0.4098,
      0.285,
      0.2698,
      0.2476,
      0.4203,
      0.2991,
      0.2435,
      0.4766,
      0.2407,
      0.1034,
      0.3427,
      0.2442,
      0.2466,
      0,
      0.2176,
      0.1348,
      0.1659,
      0.12,
      0.3171,
      0.2354,
      0.0087,
      0.4894,
      0.1232,
      0.2019,
      0.2951,
      0.445,
      0.3945,
      0.2011,
      0.3238,
      0.2626,
      0.1481,
      0.1937,
      0.0977,
      0.4185,
      0.2087,
      0.4938,
      0.1904,
      0.1133,
      0.3944,
      0.0747,
      0.2046,
      0.1781,
      0.2392,
      0.1921,
      0.1018,
      0.226,
      0.3871,
      0.4406,
      0.2762,
      0.4461,
      0.1135,
      0.217,
      0.3777,
      0.1187,
      0.2061,
      0.3097,
      0.1919,
      0.1768,
      0.2118,
      0.3375,
      0.1821,
      0.3642,
      0.2543,
      0.4052,
      0.2426,
      0.2586,
      0.4544,
      0.1622,
      0.3686,
      0.1268,
      0.1712,
      0.2961,
      0.1273,
      0.2722,
      0.3192,
      0.2227,
      0.1987,
      0.3859,
      0.3172,
      0,
      0.4877,
      0.053,
      0,
      0.2181,
      0.3007,
      0.169,
      0.125,
      0.411,
      0,
      0.1626,
      0.232,
      0.2416,
      0.4242,
      0,
      0.5137,
      0.2213,
      0.256,
      0.3188,
      0.2108,
      0.28,
      0.2377,
      0.212,
      0.2538,
      0.0493,
      0.1466,
      0.3026,
      0.4167,
      0.3201,
      0.5104,
      0.2951,
      0.1785,
      0.3879,
      0.0109,
      0.1822,
      0.2568,
      0.2051,
      0.0561,
      0.1953,
      0.3711,
      0.1207,
      0.433,
      0.2071,
      0.467,
      0.0814,
      0.2547,
      0.466,
      0.1154,
      0.2099,
      0.079,
      0.3203,
      0.1411,
      0.1019,
      0.3479,
      0.4163,
      0.3476,
      0.216,
      0.3836,
      0.2089,
      0.2134,
      0.51,
      0.0899,
      0.2565,
      0.214,
      0.0906,
      0.1623,
      0.0484,
      0.3837,
      0.2705,
      0.2741,
      0.3183,
      0.4038,
      0.2852,
      0.1653,
      0.4621,
      0.2648,
      0.324,
      0.2149,
      0.2441,
      0.2585,
      0.1916,
      0.2016,
      0.1532,
      0.2616,
      0.2674,
      0.3318,
      0.3033,
      0.3163,
      0.4892,
      0.2492,
      0.2356,
      0.3172,
      0.0375,
      0.0408,
      0.0281,
      0,
      0.2413,
      0.1494,
      0.1386,
      0.0767,
      0.3953,
      0.1634,
      0.5009,
      0.2078,
      0.0389,
      0.3994,
      0.1946,
      0.0842,
      0.2151,
      0.1325,
      0.1488,
      0.0924,
      0.3179,
      0.4368,
      0.2862,
      0.2781,
      0.4702,
      0.2161,
      0.1928,
      0.4743,
      0.1041,
      0.2267,
      0.1652,
      0.0524,
      0.1863,
      0.0539,
      0.0455,
      0.2239,
      0.1661,
      0.1365,
      0.3692,
      0,
      0.0066,
      0.4922,
      0.1872,
      0.0491,
      0.1412,
      0.1683,
      0.1981,
      0.0559,
      0.1335,
      0.0401,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2799,
      0.1285,
      0.2176,
      0.1294,
      0.1555,
      0.1986,
      0.1878,
      0.0498,
      0.0799,
      0.1276,
      0.1452,
      0.1771,
      0.231,
      0.0548,
      0.1326,
      0.1999,
      0.1912,
      0.2327,
      0.0866,
      0.2075,
      0.2503,
      0.1799,
      0.1459,
      0.2842,
      0.1699,
      0.2878,
      0.1395,
      0.1096,
      0.1964,
      0.296,
      0.223,
      0.335,
      0.1749,
      0.1796,
      0.2603,
      0.4269,
      0.0616,
      0.2866,
      0.2846,
      0.1898,
      0.3014,
      0.2466,
      0.2408,
      0.3064,
      0.1781,
      0.141,
      0.1786,
      0.1726,
      0.1059,
      0.3821,
      0.3946,
      0.2364,
      0.3862,
      0.1563,
      0.1877,
      0.2694,
      0.3102,
      0.3257,
      0.2107,
      0.2842,
      0.3916,
      0.3906,
      0,
      0.3953,
      0.2672,
      0,
      0.3883,
      0,
      0.1083,
      0.1695,
      0.3462,
      0,
      0.3209,
      0.4317,
      0.232,
      0.2727,
      0.2887,
      0.3679,
      0.294,
      0.265,
      0.4328,
      0.2754,
      0.1171,
      0.3072,
      0.2477,
      0.2386,
      0,
      0.1147,
      0.2,
      0.1739,
      0.1285,
      0.3031,
      0.0675,
      0,
      0.4051,
      0.137,
      0.1332,
      0.3065,
      0.4303,
      0.4255,
      0.2254,
      0.3682,
      0.2192,
      0.1926,
      0.2872,
      0.0607,
      0.4266,
      0.1878,
      0.4382,
      0.2806,
      0.1351,
      0.413,
      0.1123,
      0.2198,
      0.1736,
      0.2986,
      0.0847,
      0.0659,
      0.2401,
      0.407,
      0.4362,
      0.3481,
      0.3854,
      0.1019,
      0.2618,
      0.3863,
      0.2121,
      0.2331,
      0.1732,
      0.1916,
      0.2317,
      0.108,
      0.3621,
      0.319,
      0.377,
      0.1995,
      0.4091,
      0.2848,
      0.2799,
      0.4009,
      0.2256,
      0.3449,
      0.2083,
      0.152,
      0.277,
      0.147,
      0.2503,
      0.3643,
      0.2295,
      0.164,
      0.36,
      0.3888,
      0,
      0.491,
      0.0334,
      0,
      0.2861,
      0.336,
      0.29,
      0.0548,
      0.4083,
      0,
      0.1654,
      0.2572,
      0.2233,
      0.4085,
      0.0046,
      0.3433,
      0.222,
      0.259,
      0.3219,
      0.1792,
      0.2368,
      0.1958,
      0.1117,
      0.2442,
      0.0714,
      0.1603,
      0.3577,
      0.4124,
      0.3076,
      0.3695,
      0.2879,
      0.2611,
      0.3783,
      0.1736,
      0.279,
      0.3607,
      0.2061,
      0.0334,
      0.3226,
      0.3643,
      0.1379,
      0.4315,
      0.2404,
      0.3835,
      0.1752,
      0.2647,
      0.4336,
      0.1682,
      0.2184,
      0,
      0.3165,
      0.2177,
      0.1024,
      0.3925,
      0.4391,
      0.372,
      0.1867,
      0.3059,
      0.2341,
      0.2811,
      0.4355,
      0.1117,
      0.2305,
      0.212,
      0.1756,
      0.3031,
      0.1092,
      0.4506,
      0.2123,
      0.3016,
      0.2937,
      0.289,
      0.29,
      0.193,
      0.4139,
      0.2066,
      0.3783,
      0.1445,
      0.1664,
      0.1852,
      0.2047,
      0.1723,
      0.2716,
      0.2096,
      0.2793,
      0.3852,
      0.2543,
      0.3495,
      0.4426,
      0.2699,
      0.3869,
      0.322,
      0.1316,
      0,
      0.1102,
      0,
      0.2284,
      0.0696,
      0.235,
      0.1469,
      0.4279,
      0.0432,
      0.409,
      0.3114,
      0.0421,
      0.4068,
      0.1744,
      0.1051,
      0.2173,
      0.1121,
      0.1672,
      0.1049,
      0.2739,
      0.445,
      0.3481,
      0.3045,
      0.4251,
      0.1953,
      0.1504,
      0.3888,
      0.1265,
      0.2197,
      0.1472,
      0.1052,
      0.1981,
      0.0736,
      0.0429,
      0.2253,
      0.1682,
      0.1465,
      0.3089,
      0.0398,
      0.0561,
      0.4563,
      0.1879,
      0.0847,
      0.1301,
      0.2006,
      0.1546,
      0.035,
      0.0211,
      0.1059,
      0.0107,
      0,
      0,
      0,
      0,
      0,
      0.1559,
      0.1607,
      0.1649,
      0.1647,
      0.1437,
      0.1461,
      0.1405,
      0.0583,
      0.0912,
      0.1597,
      0.11,
      0.2179,
      0.2483,
      0.1271,
      0.1328,
      0.1774,
      0.2278,
      0.2118,
      0.1347,
      0.1922,
      0.2227,
      0.2313,
      0.22,
      0.2174,
      0.1708,
      0.2024,
      0.104,
      0.1286,
      0.1943,
      0.3295,
      0.23,
      0.3823,
      0.2388,
      0.15,
      0.4593,
      0.5433,
      0.1063,
      0.2219,
      0.2439,
      0.1833,
      0.4355,
      0.4025,
      0.211,
      0.2495,
      0.1669,
      0.228,
      0.1189,
      0.1874,
      0.1319,
      0.5043,
      0.3878,
      0.1712,
      0.397,
      0.1285,
      0.1253,
      0.2665,
      0.3405,
      0.4249,
      0.2172,
      0.3106,
      0.4796,
      0.4756,
      0,
      0.465,
      0.3993,
      0,
      0.4427,
      0,
      0.1389,
      0.113,
      0.3837,
      0.1127,
      0.3677,
      0.4676,
      0.343,
      0.2394,
      0.2698,
      0.444,
      0.3414,
      0.2883,
      0.483,
      0.4633,
      0.2075,
      0.2676,
      0.2086,
      0.4082,
      0,
      0.2172,
      0.2334,
      0.1852,
      0.1342,
      0.2992,
      0.3468,
      0.0735,
      0.5268,
      0.1534,
      0.2588,
      0.3122,
      0.5123,
      0.4258,
      0.1936,
      0.3641,
      0.1725,
      0.2819,
      0.303,
      0.0864,
      0.4886,
      0.1975,
      0.5755,
      0.1363,
      0.108,
      0.418,
      0.0292,
      0.2592,
      0.1848,
      0.2527,
      0.0869,
      0.0107,
      0.3364,
      0.4801,
      0.4893,
      0.2558,
      0.5054,
      0.1327,
      0.2201,
      0.3977,
      0.1098,
      0.1602,
      0.2894,
      0.1934,
      0.2054,
      0.2714,
      0.4172,
      0.2555,
      0.3655,
      0.3544,
      0.4023,
      0.2237,
      0.1741,
      0.4567,
      0.3555,
      0.3229,
      0.372,
      0.1817,
      0.2865,
      0.14,
      0.4562,
      0.3685,
      0.2212,
      0.217,
      0.3762,
      0.4392,
      0.0655,
      0.4828,
      0.4073,
      0.0284,
      0.242,
      0.2517,
      0.2727,
      0.1,
      0.4516,
      0.0311,
      0.2065,
      0.1942,
      0.262,
      0.4623,
      0.0782,
      0.5142,
      0.2017,
      0.4134,
      0.3258,
      0.1449,
      0.2856,
      0.211,
      0.1978,
      0.2297,
      0.3054,
      0.1487,
      0.4029,
      0.5368,
      0.5603,
      0.5579,
      0.5284,
      0.3634,
      0.4216,
      0.3756,
      0.2498,
      0.198,
      0.1563,
      0.148,
      0.226,
      0.4647,
      0.1711,
      0.4857,
      0.2401,
      0.5134,
      0.2816,
      0.3316,
      0.4818,
      0.2776,
      0.2303,
      0,
      0.2773,
      0.1781,
      0.0599,
      0.3006,
      0.4774,
      0.3689,
      0.2453,
      0.303,
      0.2394,
      0.3061,
      0.5186,
      0.0911,
      0.2044,
      0.2076,
      0.1952,
      0.2731,
      0.0124,
      0.4702,
      0.2957,
      0.2659,
      0.2387,
      0.3431,
      0.267,
      0.2292,
      0.558,
      0.374,
      0.3217,
      0.3316,
      0.1822,
      0.174,
      0.1518,
      0.3973,
      0.2473,
      0.2317,
      0.3673,
      0.3119,
      0.2515,
      0.1556,
      0.5463,
      0.3428,
      0.2354,
      0.3393,
      0.252,
      0,
      0.1364,
      0,
      0.2631,
      0.229,
      0.2157,
      0.1135,
      0.4442,
      0.1154,
      0.5839,
      0.2381,
      0.0864,
      0.4176,
      0.2127,
      0.1677,
      0.2151,
      0.1374,
      0.1959,
      0.1933,
      0.2332,
      0.4873,
      0.3313,
      0.3727,
      0.4941,
      0.273,
      0.1273,
      0.4758,
      0.2362,
      0.3211,
      0.2094,
      0.2254,
      0.2351,
      0.2064,
      0.1873,
      0.2358,
      0.1755,
      0.18,
      0.3874,
      0.1245,
      0.0547,
      0.5166,
      0.1801,
      0.1374,
      0.0925,
      0.1029,
      0.2022,
      0.0736,
      0.1414,
      0.2042,
      0.0079,
      0,
      0,
      0,
      0,
      0,
      0.2447,
      0.0847,
      0.0723,
      0.2144,
      0.2626,
      0.184,
      0.1015,
      0.0414,
      0.1146,
      0.1578,
      0.0779,
      0.1495,
      0.1711,
      0.1985,
      0.1655,
      0.2452,
      0.128,
      0.18,
      0.0668,
      0.1503,
      0.1816,
      0.1735,
      0.1957,
      0.1697,
      0.1936,
      0.1962,
      0.0875,
      0.2105,
      0.2003,
      0.3799,
      0.2332,
      0.2845,
      0.2692,
      0.1357,
      0.3797,
      0.5257,
      0.0915,
      0.2448,
      0.4086,
      0.1717,
      0.2422,
      0.355,
      0.1226,
      0.3877,
      0.337,
      0.2886,
      0.1076,
      0.3016,
      0.1592,
      0.5501,
      0.3451,
      0.1515,
      0.4262,
      0.1521,
      0.2542,
      0.3001,
      0.2614,
      0.3617,
      0.1671,
      0.3582,
      0.4829,
      0.462,
      0,
      0.4438,
      0.398,
      0,
      0.42,
      0,
      0.1346,
      0.208,
      0.3035,
      0,
      0.3739,
      0.509,
      0.3802,
      0.3365,
      0.3474,
      0.3775,
      0.3736,
      0.4261,
      0.4778,
      0.3356,
      0.1315,
      0.3216,
      0.2126,
      0.2267,
      0,
      0.0947,
      0.096,
      0.1716,
      0.0456,
      0.2484,
      0.2095,
      0.0389,
      0.5541,
      0.2633,
      0.1876,
      0.2408,
      0.448,
      0.3889,
      0.2077,
      0.4329,
      0.1604,
      0.2308,
      0.3325,
      0.1308,
      0.5166,
      0.2321,
      0.4887,
      0.1816,
      0.1109,
      0.44,
      0.0635,
      0.3553,
      0.1653,
      0.32,
      0.2369,
      0.0344,
      0.42,
      0.4935,
      0.5162,
      0.3219,
      0.4765,
      0.1857,
      0.2949,
      0.3884,
      0.1083,
      0.1666,
      0.3428,
      0.2267,
      0.2591,
      0.3097,
      0.432,
      0.2815,
      0.4488,
      0.2764,
      0.3442,
      0.2773,
      0.2759,
      0.5078,
      0.3132,
      0.3544,
      0.3819,
      0.226,
      0.2334,
      0.1584,
      0.2876,
      0.4388,
      0.3183,
      0.2213,
      0.3488,
      0.4506,
      0,
      0.4538,
      0.3291,
      0,
      0.0996,
      0.2932,
      0.3576,
      0.1061,
      0.4895,
      0.0891,
      0.1975,
      0.2037,
      0.2724,
      0.4704,
      0.1378,
      0.5515,
      0.1251,
      0.3055,
      0.2436,
      0.1531,
      0.317,
      0.2284,
      0.2038,
      0.3464,
      0.1661,
      0.2232,
      0.434,
      0.4788,
      0.2715,
      0.476,
      0.2921,
      0.2626,
      0.4408,
      0.2308,
      0.3375,
      0.1963,
      0.2576,
      0.0908,
      0.2607,
      0.4326,
      0.0877,
      0.51,
      0.1793,
      0.4858,
      0.1653,
      0.3601,
      0.5427,
      0.2353,
      0.2565,
      0,
      0.2953,
      0.1561,
      0.0239,
      0.3308,
      0.4878,
      0.4554,
      0.1185,
      0.2981,
      0.2517,
      0.3185,
      0.5299,
      0.1191,
      0.2962,
      0.2537,
      0.2185,
      0.2871,
      0.1188,
      0.5005,
      0.293,
      0.3169,
      0.2407,
      0.3633,
      0.2988,
      0.3085,
      0.5054,
      0.2371,
      0.3037,
      0.3812,
      0.1411,
      0.2064,
      0.203,
      0.3201,
      0.3506,
      0.2681,
      0.3459,
      0.3366,
      0.2597,
      0.1929,
      0.5434,
      0.3104,
      0.4234,
      0.2232,
      0.1945,
      0.0477,
      0.1632,
      0,
      0.2651,
      0.2299,
      0.2159,
      0.1043,
      0.4722,
      0.1579,
      0.5021,
      0.2958,
      0.1178,
      0.4637,
      0.0798,
      0.2305,
      0.2084,
      0.0327,
      0.2406,
      0.1922,
      0.3737,
      0.506,
      0.4365,
      0.2545,
      0.4803,
      0.314,
      0.1421,
      0.4778,
      0.2274,
      0.3033,
      0.2047,
      0.175,
      0.1927,
      0.1802,
      0.1387,
      0.2199,
      0.1255,
      0.1356,
      0.321,
      0.263,
      0.1086,
      0.5115,
      0.2463,
      0.1332,
      0.0274,
      0.0801,
      0.0798,
      0.022,
      0.1263,
      0.263,
      0.0113,
      0,
      0,
      0,
      0,
      0,
      0.189,
      0.2354,
      0.1596,
      0.2104,
      0.2731,
      0.1817,
      0.0915,
      0.1351,
      0.1191,
      0.2127,
      0.2415,
      0.1635,
      0.2961,
      0.2586,
      0.2159,
      0.2254,
      0.2285,
      0.2031,
      0.0636,
      0.2025,
      0.1605,
      0.2245,
      0.196,
      0.1608,
      0.218,
      0.1232,
      0.1885,
      0.1875,
      0.193,
      0.2087,
      0.1949,
      0.1925,
      0.312,
      0.1145,
      0.2546,
      0.5148,
      0.082,
      0.2448,
      0.4381,
      0.2592,
      0.3875,
      0.28,
      0.2975,
      0.4411,
      0.3002,
      0.3867,
      0.2866,
      0.3558,
      0.1681,
      0.5867,
      0.2964,
      0.2623,
      0.3714,
      0.2279,
      0.2214,
      0.2109,
      0.3292,
      0.3019,
      0.2949,
      0.3785,
      0.5365,
      0.4466,
      0.1149,
      0.4017,
      0.2903,
      0,
      0.4592,
      0.1774,
      0.1159,
      0.2436,
      0.41,
      0.0079,
      0.2994,
      0.5459,
      0.4128,
      0.4844,
      0.3773,
      0.382,
      0.3403,
      0.4404,
      0.4823,
      0.2273,
      0.3042,
      0.3858,
      0.2167,
      0.2393,
      0,
      0.238,
      0.1031,
      0.197,
      0.0382,
      0.2845,
      0.0929,
      0.3146,
      0.5429,
      0.4105,
      0.1353,
      0.2831,
      0.3467,
      0.4231,
      0.4369,
      0.4086,
      0.1684,
      0.2571,
      0.2429,
      0.178,
      0.5504,
      0.2477,
      0.5366,
      0.1959,
      0.1459,
      0.4168,
      0.0643,
      0.3199,
      0.2829,
      0.3482,
      0.2891,
      0.0498,
      0.4175,
      0.5414,
      0.5452,
      0.2628,
      0.5187,
      0.1678,
      0.3535,
      0.3785,
      0.0983,
      0.1741,
      0.2261,
      0.1797,
      0.0919,
      0.2291,
      0.4727,
      0.2399,
      0.4367,
      0.2577,
      0.2795,
      0.2907,
      0.3239,
      0.4983,
      0.1784,
      0.3462,
      0.4151,
      0.1543,
      0.2584,
      0.3104,
      0.1098,
      0.4587,
      0.2731,
      0.5007,
      0.3446,
      0.4448,
      0,
      0.4944,
      0.0507,
      0,
      0.2204,
      0.3793,
      0.3341,
      0.1391,
      0.5186,
      0.0658,
      0.4206,
      0.2342,
      0.2224,
      0.5539,
      0.1425,
      0.5359,
      0.1534,
      0.1728,
      0.4671,
      0.1303,
      0.2669,
      0.5029,
      0.1349,
      0.4258,
      0.122,
      0.2106,
      0.4775,
      0.551,
      0.2647,
      0.5357,
      0.3962,
      0.237,
      0.3858,
      0.1544,
      0.2822,
      0.1542,
      0.3414,
      0.1299,
      0.3545,
      0.4734,
      0.0741,
      0.5425,
      0.279,
      0.5199,
      0.1436,
      0.2647,
      0.5029,
      0.4,
      0.4335,
      0.1421,
      0.3314,
      0.1767,
      0,
      0.2842,
      0.5266,
      0.4259,
      0.2593,
      0.2751,
      0.2249,
      0.2958,
      0.5086,
      0.0709,
      0.2498,
      0.2931,
      0.2087,
      0.245,
      0.1352,
      0.53,
      0.2855,
      0.2628,
      0.2625,
      0.3725,
      0.2643,
      0.324,
      0.5389,
      0.2275,
      0.2952,
      0.4096,
      0.2011,
      0.1874,
      0.3191,
      0.2702,
      0.4227,
      0.3088,
      0.4508,
      0.4312,
      0.308,
      0.3006,
      0.5229,
      0.3407,
      0.388,
      0.3928,
      0.2951,
      0.1378,
      0.3689,
      0,
      0.4129,
      0.2768,
      0.2756,
      0.1606,
      0.5102,
      0.1225,
      0.5327,
      0.2649,
      0.0826,
      0.3753,
      0.2416,
      0.2149,
      0.1822,
      0.1347,
      0.1854,
      0.1332,
      0.3453,
      0.5579,
      0.3852,
      0.276,
      0.5034,
      0.2422,
      0.1338,
      0.4792,
      0.1445,
      0.3245,
      0.2678,
      0.1268,
      0.2606,
      0.2326,
      0.1001,
      0.2108,
      0.1581,
      0.1824,
      0.3442,
      0.252,
      0.041,
      0.5009,
      0.1403,
      0.129,
      0.0365,
      0.1492,
      0.1105,
      0.0484,
      0.1058,
      0.0613,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2155,
      0.2612,
      0.1137,
      0.1523,
      0.1665,
      0.1541,
      0.0986,
      0.2479,
      0.1332,
      0.2118,
      0.2391,
      0.1344,
      0.2864,
      0.0921,
      0.1189,
      0.1464,
      0.2162,
      0.1884,
      0.0668,
      0.2298,
      0.1507,
      0.2127,
      0.168,
      0.1386,
      0.2557,
      0.1087,
      0.1858,
      0.0817,
      0.1826,
      0.1953,
      0.1421,
      0.1797,
      0.2393,
      0.0994,
      0.1989,
      0.5807,
      0.0602,
      0.2488,
      0.367,
      0.3946,
      0.3791,
      0.298,
      0.2787,
      0.2575,
      0.3127,
      0.3427,
      0.1401,
      0.2979,
      0.1628,
      0.5477,
      0.2624,
      0.2129,
      0.3263,
      0.2815,
      0.2355,
      0.238,
      0.2934,
      0.4118,
      0.2606,
      0.3463,
      0.4394,
      0.3435,
      0.1134,
      0.4477,
      0.2177,
      0,
      0.4662,
      0.1712,
      0.072,
      0.2747,
      0.197,
      0,
      0.3552,
      0.4605,
      0.2919,
      0.4812,
      0.2791,
      0.2435,
      0.3902,
      0.4386,
      0.5478,
      0.217,
      0.2301,
      0.4082,
      0.1188,
      0.2427,
      0,
      0.1962,
      0.1166,
      0.2113,
      0.0833,
      0.296,
      0.2372,
      0.1882,
      0.5614,
      0.1032,
      0.2066,
      0.2431,
      0.4547,
      0.5343,
      0.2287,
      0.296,
      0.1774,
      0.2821,
      0.3121,
      0.1185,
      0.476,
      0.062,
      0.5484,
      0.0873,
      0.0797,
      0.3671,
      0.0423,
      0.3203,
      0.2519,
      0.3057,
      0.301,
      0,
      0.2797,
      0.4389,
      0.3639,
      0.2406,
      0.4867,
      0.1683,
      0.3463,
      0.3255,
      0.1966,
      0.1841,
      0.2245,
      0.1458,
      0.17,
      0.1524,
      0.4395,
      0.2321,
      0.3563,
      0.323,
      0.3046,
      0.2423,
      0.3975,
      0.4587,
      0.1525,
      0.3421,
      0.4182,
      0.1662,
      0.2731,
      0.2754,
      0.1805,
      0.3752,
      0.2483,
      0.3751,
      0.2679,
      0.4428,
      0,
      0.5303,
      0.072,
      0.0082,
      0.2518,
      0.223,
      0.2914,
      0.149,
      0.3875,
      0.0458,
      0.2974,
      0.2035,
      0.2498,
      0.448,
      0.1044,
      0.5579,
      0.1551,
      0.1963,
      0.3242,
      0.1034,
      0.2725,
      0.2877,
      0.2083,
      0.3278,
      0.0388,
      0.14,
      0.4154,
      0.4333,
      0.1543,
      0.5434,
      0.4194,
      0.1489,
      0.3472,
      0.2173,
      0.2978,
      0.1152,
      0.2362,
      0.0856,
      0.288,
      0.4146,
      0.1127,
      0.394,
      0.3324,
      0.4587,
      0.0871,
      0.2926,
      0.5288,
      0.2094,
      0.2033,
      0.0418,
      0.3547,
      0.1526,
      0.0815,
      0.3045,
      0.3735,
      0.2764,
      0.2888,
      0.216,
      0.2525,
      0.192,
      0.5662,
      0.0238,
      0.1679,
      0.2644,
      0.1287,
      0.3304,
      0.0775,
      0.3972,
      0.2878,
      0.2616,
      0.2992,
      0.4171,
      0.1813,
      0.4116,
      0.5192,
      0.2589,
      0.1453,
      0.4101,
      0.0891,
      0.3002,
      0.2591,
      0.2812,
      0.3245,
      0.2185,
      0.2417,
      0.3812,
      0.2966,
      0.2465,
      0.57,
      0.3506,
      0.3242,
      0.3427,
      0.164,
      0.1018,
      0.2185,
      0,
      0.3984,
      0.2429,
      0.2385,
      0.1527,
      0.38,
      0.167,
      0.4816,
      0.3735,
      0.1568,
      0.363,
      0.146,
      0.1392,
      0.1619,
      0.1313,
      0.149,
      0.1144,
      0.2915,
      0.4464,
      0.3113,
      0.2034,
      0.4665,
      0.177,
      0.1338,
      0.4809,
      0.0701,
      0.307,
      0.1381,
      0.1017,
      0.1813,
      0.2105,
      0.092,
      0.1728,
      0.0752,
      0.14,
      0.2055,
      0.244,
      0.1118,
      0.5741,
      0.1146,
      0.0191,
      0.0584,
      0.1938,
      0.1305,
      0.0012,
      0.1405,
      0.213,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1866,
      0.2302,
      0.1859,
      0.1661,
      0.2219,
      0.1858,
      0.1126,
      0.3211,
      0.1574,
      0.2567,
      0.1928,
      0.3183,
      0.2753,
      0.0833,
      0.1029,
      0.1653,
      0.2423,
      0.2751,
      0.0637,
      0.156,
      0.2049,
      0.1572,
      0.194,
      0.1532,
      0.2942,
      0.1755,
      0.1627,
      0.0624,
      0.2478,
      0.2217,
      0.2103,
      0.1242,
      0.214,
      0.0941,
      0.2008,
      0.4547,
      0.0273,
      0.1664,
      0.2998,
      0.2944,
      0.2469,
      0.2328,
      0.1947,
      0.3401,
      0.2832,
      0.3316,
      0.0479,
      0.1904,
      0.0926,
      0.4561,
      0.3907,
      0.1749,
      0.3815,
      0.1235,
      0.2045,
      0.2998,
      0.3353,
      0.3477,
      0.3024,
      0.3518,
      0.4525,
      0.3446,
      0.0692,
      0.4269,
      0.1544,
      0,
      0.515,
      0.0971,
      0.0236,
      0.2097,
      0.1855,
      0,
      0.3159,
      0.4438,
      0.2996,
      0.2414,
      0.2756,
      0.2714,
      0.3103,
      0.341,
      0.469,
      0.207,
      0.2346,
      0.3881,
      0.1138,
      0.3064,
      0,
      0.1667,
      0.1933,
      0.2534,
      0.1094,
      0.242,
      0.2359,
      0.1287,
      0.4722,
      0.1285,
      0.1519,
      0.3103,
      0.4332,
      0.4851,
      0.1796,
      0.3651,
      0.2014,
      0.2636,
      0.2286,
      0.1666,
      0.477,
      0.2577,
      0.483,
      0.1175,
      0.1226,
      0.442,
      0.1061,
      0.2653,
      0.2028,
      0.3566,
      0.21,
      0.0642,
      0.3786,
      0.4468,
      0.4449,
      0.2875,
      0.4165,
      0,
      0.2267,
      0.4012,
      0.1775,
      0.1836,
      0.1916,
      0.2682,
      0.265,
      0.1724,
      0.4063,
      0.2292,
      0.3636,
      0.3358,
      0.25,
      0.1882,
      0.3682,
      0.5224,
      0.1795,
      0.3332,
      0.1856,
      0.1273,
      0.3109,
      0.0568,
      0.1904,
      0.3216,
      0.2381,
      0.2519,
      0.2909,
      0.4158,
      0,
      0.4368,
      0.0345,
      0,
      0.5011,
      0.2771,
      0.1638,
      0.0932,
      0.4085,
      0,
      0.185,
      0.1881,
      0.2665,
      0.4701,
      0.0907,
      0.4755,
      0.1365,
      0.3435,
      0.3193,
      0.191,
      0.1858,
      0.2216,
      0.1567,
      0.2225,
      0,
      0.0765,
      0.4043,
      0.4553,
      0.2336,
      0.4773,
      0.3801,
      0.2239,
      0.4634,
      0.1688,
      0.1606,
      0.1831,
      0.1752,
      0.1743,
      0.2214,
      0.4206,
      0.0431,
      0.4422,
      0.2117,
      0.3734,
      0.1544,
      0.2015,
      0.4674,
      0.308,
      0.2642,
      0,
      0.295,
      0.0761,
      0.0383,
      0.3484,
      0.4223,
      0.3511,
      0.2264,
      0.2924,
      0.2054,
      0.1442,
      0.4874,
      0.0538,
      0.1888,
      0.1787,
      0.1353,
      0.3166,
      0.0124,
      0.4353,
      0.1249,
      0.2765,
      0.1961,
      0.2865,
      0.2629,
      0.1827,
      0.4662,
      0.2264,
      0.2866,
      0.1939,
      0.1264,
      0.3821,
      0.1743,
      0.1773,
      0.175,
      0.2049,
      0.2937,
      0.2635,
      0.3549,
      0.2468,
      0.4801,
      0.216,
      0.2882,
      0.3156,
      0.2237,
      0.0764,
      0.0366,
      0,
      0.2979,
      0.2715,
      0.2449,
      0.1534,
      0.4302,
      0.1703,
      0.4427,
      0.2206,
      0.1482,
      0.4527,
      0.1586,
      0.1015,
      0.1987,
      0.1391,
      0.0677,
      0.2018,
      0.2524,
      0.4748,
      0.3304,
      0.3048,
      0.4319,
      0.2437,
      0.119,
      0.4555,
      0.1558,
      0.3856,
      0.0909,
      0.1217,
      0.2497,
      0.1652,
      0.1137,
      0.2604,
      0.1116,
      0.0929,
      0.2672,
      0.034,
      0.1727,
      0.4857,
      0.107,
      0.0842,
      0.089,
      0.1954,
      0.1567,
      0,
      0.1194,
      0.183,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2264,
      0.1106,
      0.1638,
      0.1214,
      0.0541,
      0.2092,
      0.0683,
      0.2982,
      0.2009,
      0.07,
      0.1451,
      0.2835,
      0.2612,
      0.0728,
      0.1465,
      0.1506,
      0.1669,
      0.2819,
      0.0911,
      0.2462,
      0.1965,
      0.02,
      0.185,
      0.1347,
      0.1817,
      0.1725,
      0.1637,
      0.0589,
      0.2897,
      0.2111,
      0.136,
      0.2208,
      0.1965,
      0.1348,
      0.2745,
      0.5193,
      0.0659,
      0.4277,
      0.2862,
      0.3239,
      0.3045,
      0.2392,
      0.1583,
      0.3364,
      0.1821,
      0.1619,
      0.1052,
      0.1099,
      0.1191,
      0.5108,
      0.3957,
      0.1324,
      0.4784,
      0.1704,
      0.1826,
      0.2774,
      0.3182,
      0.3072,
      0.265,
      0.4143,
      0.5615,
      0.4172,
      0.0128,
      0.4457,
      0.2742,
      0,
      0.4918,
      0.0453,
      0.0884,
      0.3276,
      0.2411,
      0,
      0.4508,
      0.4442,
      0.3317,
      0.2642,
      0.2566,
      0.413,
      0.2975,
      0.2381,
      0.5175,
      0.2756,
      0.1809,
      0.4151,
      0.1408,
      0.0731,
      0,
      0.2279,
      0.1569,
      0.2702,
      0.0538,
      0.267,
      0.1925,
      0.1482,
      0.5072,
      0.1716,
      0.1885,
      0.3599,
      0.3927,
      0.4557,
      0.2503,
      0.3986,
      0.1569,
      0.1807,
      0.2725,
      0.1205,
      0.4621,
      0.1689,
      0.505,
      0.1297,
      0.1564,
      0.4784,
      0.0715,
      0.2574,
      0.1936,
      0.3339,
      0.1391,
      0.0362,
      0.3245,
      0.456,
      0.4756,
      0.2551,
      0.4283,
      0.0301,
      0.1965,
      0.4574,
      0.1753,
      0.1607,
      0.1879,
      0.2114,
      0.3354,
      0.1205,
      0.3901,
      0.2549,
      0.4159,
      0.414,
      0.3025,
      0.2995,
      0.3338,
      0.5199,
      0.2403,
      0.3111,
      0.2161,
      0.0932,
      0.2832,
      0.019,
      0.1254,
      0.4042,
      0.2668,
      0.2533,
      0.2561,
      0.3993,
      0.0153,
      0.5049,
      0.0951,
      0,
      0.4878,
      0.2928,
      0.1513,
      0.1198,
      0.4536,
      0.0108,
      0.2007,
      0.167,
      0.2259,
      0.4606,
      0.0106,
      0.5435,
      0.151,
      0.2889,
      0.3804,
      0.392,
      0.2807,
      0.2162,
      0.2448,
      0.2872,
      0,
      0.2007,
      0.4019,
      0.4568,
      0.2757,
      0.5057,
      0.3264,
      0.3583,
      0.4767,
      0.1466,
      0.1499,
      0.2043,
      0.2618,
      0.1798,
      0.214,
      0.3893,
      0.0784,
      0.4643,
      0.164,
      0.4096,
      0.302,
      0.3305,
      0.4997,
      0.281,
      0.2806,
      0,
      0.3524,
      0.1312,
      0.0544,
      0.2939,
      0.4633,
      0.408,
      0.1883,
      0.3443,
      0.2724,
      0.1157,
      0.5323,
      0.0218,
      0.2341,
      0.1333,
      0.1744,
      0.283,
      0.091,
      0.4776,
      0.1518,
      0.2623,
      0.2392,
      0.3639,
      0.2932,
      0.2294,
      0.4959,
      0.2167,
      0.3365,
      0.1321,
      0.0453,
      0.251,
      0.0881,
      0.0269,
      0.1828,
      0.251,
      0.2926,
      0.2801,
      0.3157,
      0.2594,
      0.5311,
      0.2358,
      0.2048,
      0.34,
      0.1726,
      0.0191,
      0.0736,
      0,
      0.2642,
      0.2507,
      0.3165,
      0.1855,
      0.4566,
      0.2506,
      0.4369,
      0.122,
      0.1338,
      0.4874,
      0.1547,
      0.1205,
      0.1791,
      0.0805,
      0.0755,
      0.2269,
      0.2621,
      0.4724,
      0.3841,
      0.3466,
      0.4259,
      0.291,
      0.0566,
      0.4906,
      0.1466,
      0.3355,
      0.1333,
      0.1523,
      0.2814,
      0.1793,
      0.1564,
      0.3051,
      0.1621,
      0.0426,
      0.3103,
      0.0906,
      0.0427,
      0.5451,
      0.0859,
      0.175,
      0.1026,
      0.0787,
      0.1651,
      0,
      0,
      0.1691,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2605,
      0.1489,
      0.1017,
      0.2112,
      0.1464,
      0.2198,
      0.0429,
      0.1404,
      0.0776,
      0.0384,
      0.1027,
      0.3186,
      0.3642,
      0.1026,
      0.2641,
      0.0802,
      0.1959,
      0.3227,
      0,
      0.2263,
      0.2067,
      0.0613,
      0.1796,
      0.1862,
      0.2004,
      0.2013,
      0.1357,
      0.1358,
      0.2269,
      0.1869,
      0.163,
      0.2559,
      0.2399,
      0.0866,
      0.271,
      0.5311,
      0.1212,
      0.4576,
      0.222,
      0.2891,
      0.2562,
      0.352,
      0.1821,
      0.3702,
      0.1345,
      0.1926,
      0.074,
      0.1208,
      0.0278,
      0.4409,
      0.2983,
      0.2224,
      0.3994,
      0.1131,
      0.1426,
      0.3055,
      0.3468,
      0.3402,
      0.2888,
      0.3015,
      0.5184,
      0.4557,
      0,
      0.4435,
      0.2534,
      0,
      0.4204,
      0,
      0.1748,
      0.2382,
      0.2489,
      0,
      0.3825,
      0.5125,
      0.2632,
      0.3129,
      0.2144,
      0.3469,
      0.2896,
      0.1908,
      0.5408,
      0.2314,
      0.1418,
      0.2563,
      0.1336,
      0.1657,
      0,
      0.2023,
      0.0808,
      0.2311,
      0.0821,
      0.308,
      0.1449,
      0.1347,
      0.4679,
      0.1855,
      0.2923,
      0.2597,
      0.4878,
      0.4383,
      0.2165,
      0.4345,
      0.1492,
      0.22,
      0.3068,
      0.1934,
      0.508,
      0.0513,
      0.4885,
      0.2972,
      0.1487,
      0.3828,
      0.1211,
      0.2726,
      0.2224,
      0.3294,
      0.1301,
      0.0792,
      0.3337,
      0.5018,
      0.5073,
      0.2744,
      0.4057,
      0.1653,
      0.2353,
      0.3643,
      0.2494,
      0.2059,
      0.3735,
      0.296,
      0.3485,
      0.0441,
      0.4557,
      0.2522,
      0.4634,
      0.3427,
      0.3319,
      0.2943,
      0.4237,
      0.4001,
      0.3215,
      0.2599,
      0.2759,
      0.1327,
      0.3324,
      0.0937,
      0.0511,
      0.4497,
      0.3121,
      0.1596,
      0.3299,
      0.429,
      0,
      0.5142,
      0.0753,
      0,
      0.3001,
      0.3348,
      0.1942,
      0.1548,
      0.4847,
      0,
      0.1545,
      0.1572,
      0.2415,
      0.523,
      0.0018,
      0.5255,
      0.1223,
      0.2593,
      0.2321,
      0.2075,
      0.2559,
      0.1867,
      0.1541,
      0.339,
      0,
      0.1496,
      0.4501,
      0.505,
      0.3521,
      0.5174,
      0.3138,
      0.3314,
      0.3528,
      0.1145,
      0.1867,
      0.3123,
      0.2743,
      0.1395,
      0.1298,
      0.4651,
      0.1278,
      0.5061,
      0.2305,
      0.4519,
      0.3124,
      0.3174,
      0.4748,
      0.2674,
      0.2086,
      0,
      0.3914,
      0.1239,
      0.0922,
      0.3719,
      0.5035,
      0.4519,
      0.1636,
      0.3252,
      0.2823,
      0.216,
      0.506,
      0,
      0.3273,
      0.1838,
      0.124,
      0.254,
      0.0716,
      0.5016,
      0.1498,
      0.3189,
      0.3132,
      0.2195,
      0.2264,
      0.2012,
      0.4697,
      0.3416,
      0.3121,
      0.2731,
      0.1984,
      0.1877,
      0.1207,
      0.1275,
      0.2072,
      0.2818,
      0.2887,
      0.3114,
      0.3011,
      0.2284,
      0.4899,
      0.2639,
      0.2927,
      0.2694,
      0.2446,
      0.0715,
      0.0684,
      0,
      0.2436,
      0.231,
      0.3222,
      0.2371,
      0.4945,
      0.1135,
      0.3912,
      0.2065,
      0.0528,
      0.3818,
      0.0653,
      0.1792,
      0.2235,
      0.1576,
      0.1279,
      0.1433,
      0.3294,
      0.5161,
      0.4258,
      0.3457,
      0.3963,
      0.2738,
      0.1175,
      0.4658,
      0.1752,
      0.2243,
      0.0434,
      0.1429,
      0.2855,
      0.08,
      0.106,
      0.2848,
      0.1392,
      0.156,
      0.3037,
      0.0265,
      0.0772,
      0.5095,
      0.0237,
      0.1678,
      0.0927,
      0.1051,
      0.0649,
      0,
      0.0231,
      0.1645,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2198,
      0.1511,
      0.1557,
      0.1887,
      0.0517,
      0.2127,
      0.1713,
      0.1561,
      0.1069,
      0,
      0.1139,
      0.2307,
      0.2758,
      0.1777,
      0.2197,
      0.0653,
      0.1252,
      0.2374,
      0.0158,
      0.2483,
      0.1564,
      0.1578,
      0.1504,
      0.2324,
      0.1472,
      0.3507,
      0.0926,
      0.167,
      0.1587,
      0.3257,
      0.2081,
      0.2395,
      0.2315,
      0.0632,
      0.3395,
      0.4591,
      0.0743,
      0.3943,
      0.2494,
      0.2182,
      0.2395,
      0.4127,
      0.2063,
      0.3699,
      0.1949,
      0.2238,
      0.1139,
      0.1403,
      0.0784,
      0.42,
      0.2841,
      0.2134,
      0.4258,
      0.1312,
      0.2545,
      0.3366,
      0.3217,
      0.2933,
      0.2844,
      0.2979,
      0.474,
      0.4697,
      0,
      0.4198,
      0.2402,
      0,
      0.4687,
      0.0034,
      0.0619,
      0.1823,
      0.3148,
      0,
      0.3093,
      0.4854,
      0.2265,
      0.3049,
      0.2746,
      0.3204,
      0.3016,
      0.2395,
      0.5185,
      0.3235,
      0.0748,
      0.3306,
      0.1338,
      0.2333,
      0,
      0.2102,
      0.0364,
      0.2461,
      0.1369,
      0.2943,
      0.2459,
      0.0973,
      0.3742,
      0.1625,
      0.1568,
      0.3236,
      0.347,
      0.5062,
      0.1619,
      0.4241,
      0.1395,
      0.2515,
      0.2982,
      0.0916,
      0.4781,
      0.164,
      0.4753,
      0.1979,
      0.0358,
      0.4603,
      0.3521,
      0.2735,
      0.2747,
      0.3766,
      0.1586,
      0,
      0.291,
      0.4879,
      0.5156,
      0.2498,
      0.3709,
      0.0796,
      0.2036,
      0.4222,
      0.2076,
      0.2259,
      0.2321,
      0.1573,
      0.2542,
      0.308,
      0.4052,
      0.2721,
      0.4564,
      0.2831,
      0.2529,
      0.263,
      0.2703,
      0.4916,
      0.3088,
      0.296,
      0.2782,
      0.0697,
      0.3667,
      0.1361,
      0.0409,
      0.4344,
      0.3066,
      0.1892,
      0.2864,
      0.406,
      0,
      0.4759,
      0.119,
      0,
      0.2541,
      0.2403,
      0.2273,
      0.1634,
      0.4977,
      0,
      0.2143,
      0.2153,
      0.3713,
      0.4999,
      0.0165,
      0.4919,
      0.2115,
      0.3276,
      0.3435,
      0.1651,
      0.1868,
      0.3565,
      0.2072,
      0.3355,
      0.0951,
      0.1884,
      0.4103,
      0.4888,
      0.3492,
      0.4866,
      0.2586,
      0.1835,
      0.4178,
      0.0784,
      0.1832,
      0.2854,
      0.2804,
      0.0515,
      0.2543,
      0.4311,
      0.0613,
      0.5156,
      0.1609,
      0.4589,
      0.1002,
      0.2554,
      0.5398,
      0.3154,
      0.16,
      0,
      0.2444,
      0.2528,
      0.0793,
      0.3559,
      0.5103,
      0.442,
      0.1666,
      0.3403,
      0.2417,
      0.2989,
      0.4634,
      0.0213,
      0.2414,
      0.2069,
      0.1007,
      0.2703,
      0,
      0.5137,
      0.1843,
      0.311,
      0.2875,
      0.3131,
      0.272,
      0.1578,
      0.4055,
      0.2374,
      0.3764,
      0.174,
      0.1453,
      0.2097,
      0.1873,
      0.1397,
      0.2189,
      0.236,
      0.23,
      0.2693,
      0.4168,
      0.2105,
      0.4819,
      0.2588,
      0.4326,
      0.3252,
      0.1097,
      0.0233,
      0,
      0,
      0.3332,
      0.2313,
      0.264,
      0.3719,
      0.492,
      0.0811,
      0.4259,
      0.2952,
      0,
      0.4542,
      0.0723,
      0.2231,
      0.1932,
      0.2175,
      0.1659,
      0.2208,
      0.3014,
      0.4969,
      0.4101,
      0.2886,
      0.4468,
      0.1806,
      0.1624,
      0.4901,
      0.1554,
      0.2459,
      0.1123,
      0.0949,
      0.2274,
      0.0646,
      0.1401,
      0.1674,
      0.1068,
      0.1871,
      0.3189,
      0.0079,
      0.0671,
      0.4654,
      0.1967,
      0.1532,
      0.0953,
      0.049,
      0.0712,
      0,
      0.0355,
      0.1352,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1476,
      0.2492,
      0.1455,
      0.2003,
      0.1627,
      0.1917,
      0.128,
      0.1609,
      0.0994,
      0.0557,
      0.1195,
      0.2344,
      0.2247,
      0.2378,
      0.1607,
      0.1871,
      0.135,
      0.2067,
      0.0448,
      0.1755,
      0.0483,
      0.1972,
      0.2075,
      0.1825,
      0.1598,
      0.3142,
      0.1805,
      0.164,
      0.2027,
      0.356,
      0.2905,
      0.2468,
      0.2533,
      0.0619,
      0.4732,
      0.4771,
      0.0518,
      0.2508,
      0.2993,
      0.1447,
      0.266,
      0.4293,
      0.122,
      0.3604,
      0.2388,
      0.3447,
      0.1124,
      0.1386,
      0.0908,
      0.4742,
      0.3419,
      0.0936,
      0.4101,
      0.1376,
      0.2943,
      0.3171,
      0.4243,
      0.4503,
      0.2213,
      0.3145,
      0.4199,
      0.4745,
      0,
      0.4324,
      0.35,
      0,
      0.4894,
      0.0463,
      0.1186,
      0.2221,
      0.393,
      0.0953,
      0.3523,
      0.4557,
      0.2883,
      0.2824,
      0.3538,
      0.3646,
      0.2777,
      0.297,
      0.4359,
      0.5478,
      0.1938,
      0.4011,
      0.0862,
      0.3391,
      0,
      0.2065,
      0.051,
      0.2278,
      0.1374,
      0.3754,
      0.3841,
      0.0919,
      0.4453,
      0.4424,
      0.1657,
      0.3331,
      0.3534,
      0.5392,
      0.4288,
      0.2894,
      0.0916,
      0.2483,
      0.3109,
      0.1163,
      0.4304,
      0.1705,
      0.521,
      0.1405,
      0.0993,
      0.4562,
      0.2654,
      0.243,
      0.1875,
      0.3008,
      0.1351,
      0.0274,
      0.3396,
      0.4212,
      0.3852,
      0.202,
      0.4307,
      0.188,
      0.1929,
      0.4212,
      0.1207,
      0.2947,
      0.2252,
      0.1812,
      0.3297,
      0.2231,
      0.4047,
      0.2365,
      0.3393,
      0.3602,
      0.3472,
      0.3869,
      0.2231,
      0.501,
      0.221,
      0.3386,
      0.2985,
      0.1257,
      0.3331,
      0.3095,
      0.1545,
      0.3239,
      0.2465,
      0.1848,
      0.3476,
      0.4309,
      0.0633,
      0.487,
      0.4665,
      0.0622,
      0.1174,
      0.3124,
      0.2375,
      0.1608,
      0.391,
      0,
      0.2408,
      0.1864,
      0.3249,
      0.4374,
      0.0453,
      0.5471,
      0.2062,
      0.4996,
      0.3601,
      0.1674,
      0.2142,
      0.2994,
      0.2648,
      0.2633,
      0.3536,
      0.1716,
      0.4135,
      0.4465,
      0.6035,
      0.5272,
      0.5449,
      0.2779,
      0.4669,
      0.3178,
      0.2144,
      0.1947,
      0.2567,
      0.2071,
      0.2472,
      0.3985,
      0.2046,
      0.4009,
      0.1852,
      0.4397,
      0.0995,
      0.2427,
      0.4617,
      0.3001,
      0.4103,
      0.0716,
      0.3018,
      0.1902,
      0.1199,
      0.2619,
      0.4102,
      0.3335,
      0.1346,
      0.3885,
      0.2826,
      0.2868,
      0.5394,
      0.0479,
      0.1804,
      0.2965,
      0.1323,
      0.3381,
      0,
      0.3722,
      0.2444,
      0.2566,
      0.2689,
      0.3141,
      0.4061,
      0.2356,
      0.4236,
      0.1825,
      0.4202,
      0.243,
      0.1194,
      0.2506,
      0.3325,
      0.2358,
      0.3353,
      0.2296,
      0.2098,
      0.1894,
      0.3372,
      0.2454,
      0.5333,
      0.294,
      0.2863,
      0.3254,
      0.2088,
      0.0206,
      0.1783,
      0,
      0.2931,
      0.2431,
      0.3057,
      0.3258,
      0.3681,
      0.1427,
      0.379,
      0.2346,
      0.0507,
      0.4671,
      0.1133,
      0.2501,
      0.1469,
      0.1759,
      0.1549,
      0.2009,
      0.2754,
      0.4224,
      0.3372,
      0.2525,
      0.4855,
      0.1928,
      0.0947,
      0.4683,
      0.133,
      0.3289,
      0.1023,
      0.1379,
      0.3019,
      0.1566,
      0.0617,
      0.2703,
      0.0854,
      0.094,
      0.3127,
      0.241,
      0.1051,
      0.5521,
      0.1322,
      0.1815,
      0.0925,
      0.1575,
      0.0339,
      0,
      0.0991,
      0.0937,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2391,
      0.2347,
      0.1494,
      0.2507,
      0.1754,
      0.1619,
      0.1272,
      0.1486,
      0.0584,
      0.0541,
      0.1022,
      0.1977,
      0.2325,
      0.3364,
      0.1923,
      0.1829,
      0.1012,
      0.2844,
      0.1075,
      0.3183,
      0.0539,
      0.2278,
      0.1704,
      0.2035,
      0.0446,
      0.0746,
      0.1646,
      0.0872,
      0.1896,
      0.3207,
      0.1188,
      0.2626,
      0.2123,
      0.1346,
      0.3567,
      0.4877,
      0.0384,
      0.2123,
      0.3154,
      0.2858,
      0.2787,
      0.3755,
      0.1531,
      0.2656,
      0.2179,
      0.2372,
      0.177,
      0.1086,
      0.1792,
      0.5518,
      0.3518,
      0.2461,
      0.345,
      0.317,
      0.2758,
      0.3188,
      0.4011,
      0.2768,
      0.3484,
      0.3157,
      0.4144,
      0.3083,
      0.0951,
      0.4751,
      0.3745,
      0,
      0.4339,
      0.2693,
      0.1021,
      0.215,
      0.3631,
      0,
      0.3776,
      0.3633,
      0.2947,
      0.3811,
      0.4057,
      0.3491,
      0.3262,
      0.4012,
      0.5599,
      0.3692,
      0.1173,
      0.4015,
      0.1814,
      0.2211,
      0,
      0.1715,
      0.2788,
      0.2668,
      0.0651,
      0.1917,
      0.2915,
      0.2587,
      0.5431,
      0.0977,
      0.1812,
      0.2811,
      0.4173,
      0.5149,
      0.2216,
      0.2288,
      0.0974,
      0.2476,
      0.3179,
      0.1867,
      0.4157,
      0.2084,
      0.4737,
      0.1391,
      0.1357,
      0.4325,
      0.104,
      0.2747,
      0.06,
      0.299,
      0.2046,
      0.0534,
      0.3509,
      0.4057,
      0.372,
      0.136,
      0.4064,
      0.1751,
      0.2246,
      0.3653,
      0.0894,
      0.2866,
      0.3722,
      0.1642,
      0.3322,
      0.1157,
      0.3825,
      0.218,
      0.2882,
      0.2358,
      0.2698,
      0.2414,
      0.4433,
      0.4381,
      0.1156,
      0.3134,
      0.3547,
      0.138,
      0.1928,
      0.1463,
      0.0145,
      0.1978,
      0.2,
      0.4093,
      0.3256,
      0.3744,
      0.0573,
      0.4829,
      0.4282,
      0.0304,
      0.2214,
      0.4232,
      0.2827,
      0.1348,
      0.3732,
      0.0522,
      0.405,
      0.1705,
      0.1723,
      0.4227,
      0.1037,
      0.5222,
      0.1097,
      0.4678,
      0.5236,
      0.1626,
      0.1522,
      0.4838,
      0.2546,
      0.4639,
      0.1894,
      0.2068,
      0.4492,
      0.4216,
      0.3791,
      0.4724,
      0.3662,
      0.2682,
      0.319,
      0.1844,
      0.2558,
      0.2447,
      0.2499,
      0.1632,
      0.2876,
      0.3674,
      0.1749,
      0.345,
      0.3744,
      0.3976,
      0.1026,
      0.246,
      0.4924,
      0.4091,
      0.2444,
      0.0065,
      0.3176,
      0.2041,
      0.1202,
      0.2072,
      0.3691,
      0.292,
      0.1857,
      0.3225,
      0.237,
      0.2874,
      0.5064,
      0.0662,
      0.044,
      0.2735,
      0.0885,
      0.3362,
      0.0434,
      0.3849,
      0.2573,
      0.2264,
      0.2602,
      0.3503,
      0.2274,
      0.4049,
      0.5459,
      0.157,
      0.3472,
      0.2589,
      0.1323,
      0.2343,
      0.2022,
      0.2051,
      0.2717,
      0.2732,
      0.4183,
      0.3269,
      0.4267,
      0.2058,
      0.5034,
      0.268,
      0.3034,
      0.2786,
      0.0444,
      0.0682,
      0.1312,
      0,
      0.4645,
      0.2611,
      0.2788,
      0.1185,
      0.3312,
      0.0749,
      0.465,
      0.3198,
      0.0359,
      0.4254,
      0.1032,
      0.1532,
      0.1883,
      0.1902,
      0.1839,
      0.2964,
      0.3067,
      0.4299,
      0.3056,
      0.3349,
      0.4808,
      0.1084,
      0.1177,
      0.4744,
      0.1401,
      0.39,
      0.1838,
      0.0738,
      0.3206,
      0.1605,
      0.0843,
      0.3224,
      0.0959,
      0.0995,
      0.2791,
      0.2234,
      0.1112,
      0.5007,
      0.1866,
      0.1948,
      0.0937,
      0.1483,
      0.1283,
      0,
      0.043,
      0.1912,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1585,
      0.1497,
      0.1382,
      0.1981,
      0.2398,
      0.2006,
      0.1197,
      0.188,
      0.0509,
      0.0684,
      0.2324,
      0.1767,
      0.2323,
      0.2435,
      0.1375,
      0.2263,
      0.1437,
      0.2088,
      0.1032,
      0.2879,
      0.0582,
      0.1525,
      0.116,
      0.0231,
      0.1043,
      0.0618,
      0.1714,
      0.0862,
      0.1371,
      0.1808,
      0.1496,
      0.1621,
      0.2246,
      0.1159,
      0.3045,
      0.5201,
      0.0927,
      0.2186,
      0.3087,
      0.3726,
      0.1813,
      0.2511,
      0.1573,
      0.2488,
      0.1979,
      0.2644,
      0.0878,
      0.2083,
      0.0592,
      0.5262,
      0.4099,
      0.228,
      0.4762,
      0.2955,
      0.2508,
      0.2787,
      0.2965,
      0.28,
      0.3284,
      0.3068,
      0.3789,
      0.3099,
      0.1206,
      0.4022,
      0.3425,
      0,
      0.5772,
      0.2899,
      0.0949,
      0.2573,
      0.3164,
      0,
      0.3749,
      0.3471,
      0.3341,
      0.527,
      0.3894,
      0.3128,
      0.3232,
      0.3568,
      0.5573,
      0.2198,
      0.1232,
      0.3996,
      0.1831,
      0.2178,
      0,
      0.1999,
      0.2126,
      0.1726,
      0.1066,
      0.1951,
      0.248,
      0.2493,
      0.5096,
      0.1152,
      0.1945,
      0.3645,
      0.3742,
      0.4728,
      0.2227,
      0.3194,
      0.1155,
      0.2839,
      0.3432,
      0.1717,
      0.3407,
      0.2546,
      0.4014,
      0.1335,
      0.0988,
      0.4993,
      0.0491,
      0.281,
      0.1357,
      0.2735,
      0.325,
      0.0354,
      0.3392,
      0.3697,
      0.3481,
      0.2169,
      0.3493,
      0.1135,
      0.2869,
      0.4685,
      0.0717,
      0.2073,
      0.1681,
      0.1391,
      0.2072,
      0.0606,
      0.3945,
      0.1739,
      0.3123,
      0.2594,
      0.2165,
      0.2482,
      0.3195,
      0.5391,
      0.1324,
      0.3683,
      0.2062,
      0.1184,
      0.256,
      0.0391,
      0.0472,
      0.3282,
      0.2293,
      0.3423,
      0.3337,
      0.37,
      0,
      0.4934,
      0.0689,
      0,
      0.2189,
      0.2983,
      0.3119,
      0.1742,
      0.3406,
      0,
      0.3682,
      0.222,
      0.1576,
      0.4053,
      0.1015,
      0.4988,
      0.1644,
      0.2201,
      0.4768,
      0.0984,
      0.2625,
      0.4058,
      0.183,
      0.4021,
      0.0774,
      0.2281,
      0.4057,
      0.4121,
      0.3096,
      0.4261,
      0.3354,
      0.2749,
      0.4882,
      0.1241,
      0.2752,
      0.1924,
      0.2214,
      0.1318,
      0.2635,
      0.3643,
      0.1397,
      0.3289,
      0.3579,
      0.3402,
      0.2409,
      0.2194,
      0.5465,
      0.379,
      0.1412,
      0.063,
      0.3064,
      0.2474,
      0.0569,
      0.2191,
      0.3774,
      0.3245,
      0.1657,
      0.3069,
      0.3093,
      0.3408,
      0.5204,
      0.0514,
      0.1643,
      0.2533,
      0.1254,
      0.3261,
      0.0866,
      0.3577,
      0.2976,
      0.2919,
      0.2072,
      0.3155,
      0.1383,
      0.2962,
      0.5055,
      0.0892,
      0.1969,
      0.2093,
      0.0741,
      0.2179,
      0.1475,
      0.1403,
      0.2512,
      0.2111,
      0.1612,
      0.3246,
      0.3922,
      0.1905,
      0.5026,
      0.2699,
      0.3325,
      0.355,
      0.0672,
      0.1001,
      0.1985,
      0,
      0.437,
      0.2446,
      0.3262,
      0.1289,
      0.3525,
      0.0778,
      0.4515,
      0.1829,
      0.0348,
      0.5001,
      0.1628,
      0.0186,
      0.1243,
      0.0997,
      0.2058,
      0.2022,
      0.3438,
      0.4337,
      0.2929,
      0.3013,
      0.3984,
      0.2307,
      0.1125,
      0.5492,
      0.1551,
      0.4028,
      0.1407,
      0.0582,
      0.304,
      0.1122,
      0.049,
      0.2403,
      0.0823,
      0.0824,
      0.2728,
      0.1136,
      0.0992,
      0.5652,
      0.035,
      0.1531,
      0.1144,
      0.077,
      0.1361,
      0,
      0.08,
      0.1416,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1445,
      0.0993,
      0.0867,
      0.2655,
      0.3464,
      0.2192,
      0.1608,
      0.176,
      0.0939,
      0.0605,
      0.2364,
      0.1342,
      0.2878,
      0.1628,
      0.0002,
      0.1986,
      0.1628,
      0.1849,
      0,
      0.1799,
      0.0127,
      0.2049,
      0.0706,
      0.0737,
      0.1683,
      0.0671,
      0.1709,
      0.067,
      0.1152,
      0.1968,
      0.1083,
      0.0428,
      0.1458,
      0,
      0.1981,
      0.4555,
      0.001,
      0.0924,
      0.3036,
      0.1631,
      0.1558,
      0.2169,
      0.2023,
      0.2343,
      0.0941,
      0.2269,
      0.1125,
      0.0889,
      0.0218,
      0.3862,
      0.4347,
      0.115,
      0.4202,
      0.1719,
      0.2709,
      0.3172,
      0.3734,
      0.4194,
      0.3501,
      0.3631,
      0.3931,
      0.3763,
      0.0934,
      0.2878,
      0.1972,
      0,
      0.5446,
      0,
      0.1701,
      0.2347,
      0.3213,
      0,
      0.2891,
      0.3701,
      0.1647,
      0.3121,
      0.2832,
      0.2433,
      0.3191,
      0.3058,
      0.5133,
      0.2347,
      0.1888,
      0.2416,
      0.0713,
      0.1931,
      0,
      0.1095,
      0.1254,
      0.1561,
      0.135,
      0.2184,
      0.1837,
      0.1048,
      0.4434,
      0.1582,
      0.3404,
      0.3337,
      0.5452,
      0.4991,
      0.2151,
      0.3592,
      0.1536,
      0.177,
      0.2543,
      0.2097,
      0.3917,
      0.2441,
      0.3178,
      0.0686,
      0.0891,
      0.4052,
      0.0011,
      0.2799,
      0.1059,
      0.2756,
      0.3908,
      0.0709,
      0.2828,
      0.4054,
      0.3948,
      0.2058,
      0.2508,
      0.1486,
      0.2603,
      0.4102,
      0,
      0.1347,
      0.105,
      0.1539,
      0.0981,
      0.0859,
      0.3521,
      0.1326,
      0.3786,
      0.1646,
      0.2422,
      0.2172,
      0.2512,
      0.412,
      0.2292,
      0.3274,
      0.1266,
      0.1774,
      0.193,
      0.0498,
      0.0899,
      0.3741,
      0.2762,
      0.1605,
      0.2825,
      0.329,
      0,
      0.4695,
      0.0603,
      0.0076,
      0.2006,
      0.2271,
      0.2665,
      0.0239,
      0.3926,
      0.0033,
      0.2205,
      0.2713,
      0.2034,
      0.4338,
      0.0049,
      0.4508,
      0.1715,
      0.32,
      0.3319,
      0.1854,
      0.2416,
      0.2647,
      0.2197,
      0.3209,
      0.0332,
      0.1701,
      0.3818,
      0.4107,
      0.342,
      0.3533,
      0.3492,
      0.4355,
      0.4486,
      0.0965,
      0.2584,
      0.1513,
      0.2585,
      0.1534,
      0.1083,
      0.3691,
      0.1228,
      0.4178,
      0.1274,
      0.3749,
      0.342,
      0.3211,
      0.4811,
      0.2739,
      0.1961,
      0,
      0.2838,
      0.2223,
      0.1632,
      0.2484,
      0.4109,
      0.3779,
      0.2052,
      0.2758,
      0.2135,
      0.1827,
      0.4573,
      0.0372,
      0.1695,
      0.2096,
      0.0945,
      0.2508,
      0.0404,
      0.3984,
      0.1344,
      0.3269,
      0.1569,
      0.2749,
      0.1676,
      0.3053,
      0.3954,
      0.2125,
      0.2162,
      0.0567,
      0.1124,
      0.2205,
      0.0799,
      0.1503,
      0.1473,
      0.0839,
      0.1768,
      0.2357,
      0.2662,
      0.1686,
      0.396,
      0.2699,
      0.3543,
      0.3222,
      0.2494,
      0.0071,
      0.0328,
      0,
      0.2525,
      0.3205,
      0.2419,
      0.1184,
      0.3942,
      0.2045,
      0.3831,
      0.1951,
      0.0895,
      0.4275,
      0.1457,
      0.1452,
      0.1984,
      0.1693,
      0.087,
      0.1506,
      0.3334,
      0.4103,
      0.3716,
      0.3906,
      0.3117,
      0.2011,
      0.1561,
      0.5054,
      0.1778,
      0.2876,
      0.1441,
      0.0867,
      0.3096,
      0.0938,
      0.0136,
      0.2476,
      0.0506,
      0.0589,
      0.259,
      0.0163,
      0.038,
      0.4102,
      0.0822,
      0.0321,
      0.1267,
      0.1049,
      0.1027,
      0,
      0.0592,
      0.0938,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2152,
      0.0441,
      0.0299,
      0.1412,
      0.22,
      0.1181,
      0.1402,
      0.2603,
      0.0692,
      0.0393,
      0.2068,
      0.1461,
      0.2586,
      0.0441,
      0.1049,
      0.1825,
      0.1804,
      0.2251,
      0.0041,
      0.1038,
      0.0581,
      0.0944,
      0.0815,
      0.0166,
      0.0701,
      0.1411,
      0.0055,
      0.0223,
      0.1615,
      0.0887,
      0.1838,
      0.0417,
      0.0761,
      0,
      0.1539,
      0.5508,
      0.0356,
      0.0523,
      0.2629,
      0.221,
      0.1694,
      0.1231,
      0.1739,
      0.2641,
      0.1942,
      0.1536,
      0,
      0.0406,
      0.0588,
      0.5037,
      0.3463,
      0.1277,
      0.4649,
      0.1304,
      0.222,
      0.2898,
      0.3308,
      0.4315,
      0.3419,
      0.4006,
      0.4289,
      0.4193,
      0,
      0.4492,
      0.2569,
      0,
      0.534,
      0,
      0.0813,
      0.2635,
      0.2368,
      0,
      0.3591,
      0.4173,
      0.318,
      0.2692,
      0.259,
      0.2865,
      0.3375,
      0.1789,
      0.548,
      0.1542,
      0.3831,
      0.3145,
      0.1105,
      0.1516,
      0,
      0.119,
      0.0266,
      0.1941,
      0.1377,
      0.2091,
      0.1413,
      0.15,
      0.5223,
      0.1579,
      0.1841,
      0.3262,
      0.3802,
      0.4687,
      0.1332,
      0.3943,
      0.1691,
      0.2098,
      0.2801,
      0.1502,
      0.4025,
      0.2005,
      0.4869,
      0.0661,
      0.0663,
      0.4838,
      0.037,
      0.3019,
      0.1759,
      0.323,
      0.1422,
      0.0322,
      0.2189,
      0.4008,
      0.4447,
      0.196,
      0.3557,
      0.1379,
      0.1488,
      0.4334,
      0,
      0.1206,
      0.072,
      0.1921,
      0.1336,
      0,
      0.331,
      0.1354,
      0.4165,
      0.1145,
      0.2654,
      0.2574,
      0.2396,
      0.5138,
      0.105,
      0.2049,
      0.0675,
      0.1998,
      0.1878,
      0.0858,
      0.0237,
      0.4051,
      0.2356,
      0.1872,
      0.2647,
      0.3312,
      0,
      0.5122,
      0.0979,
      0,
      0.2469,
      0.3012,
      0.2182,
      0.1506,
      0.4311,
      0,
      0.2,
      0.1385,
      0.2045,
      0.4192,
      0,
      0.4451,
      0.2437,
      0.3455,
      0.3445,
      0.2305,
      0.1425,
      0.2978,
      0.2124,
      0.3081,
      0.0574,
      0.0798,
      0.346,
      0.4143,
      0.3514,
      0.4204,
      0.3477,
      0.2087,
      0.457,
      0.1145,
      0.1809,
      0.2181,
      0.2748,
      0.1184,
      0.232,
      0.3333,
      0.1243,
      0.4538,
      0.1932,
      0.3346,
      0.1789,
      0.2148,
      0.5166,
      0.3258,
      0.1882,
      0,
      0.3044,
      0.1908,
      0.0065,
      0.2507,
      0.4555,
      0.393,
      0.0924,
      0.2842,
      0.2326,
      0.1255,
      0.4828,
      0.0626,
      0.1409,
      0.2117,
      0.0625,
      0.3034,
      0.0177,
      0.4564,
      0.1336,
      0.288,
      0.2046,
      0.3901,
      0.2126,
      0.1284,
      0.4558,
      0.1102,
      0.2319,
      0.0291,
      0.1024,
      0.2281,
      0.1733,
      0.1577,
      0.1073,
      0.2074,
      0.2098,
      0.1097,
      0.1912,
      0.1918,
      0.4434,
      0.1146,
      0.2764,
      0.3316,
      0.1452,
      0,
      0,
      0,
      0.2761,
      0.2316,
      0.2259,
      0.146,
      0.4306,
      0.1846,
      0.4661,
      0.1026,
      0.0327,
      0.476,
      0.0874,
      0.1464,
      0.2401,
      0.2409,
      0.158,
      0.2066,
      0.2161,
      0.3959,
      0.3907,
      0.3288,
      0.4018,
      0.233,
      0.1436,
      0.5343,
      0.2625,
      0.4289,
      0.1577,
      0.1192,
      0.2432,
      0.0602,
      0.0473,
      0.3057,
      0.0866,
      0,
      0.2738,
      0.083,
      0,
      0.4804,
      0.0834,
      0.0531,
      0.1313,
      0.0979,
      0.0665,
      0,
      0.0896,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1788,
      0.1075,
      0.1224,
      0.1627,
      0.1381,
      0.1712,
      0.0549,
      0.2504,
      0.0631,
      0,
      0.0964,
      0.2494,
      0.2711,
      0.02,
      0.0481,
      0.1542,
      0.1557,
      0.2395,
      0,
      0.1168,
      0.0751,
      0.0213,
      0,
      0.0624,
      0.1266,
      0.069,
      0.0389,
      0.0616,
      0.113,
      0.1166,
      0.1615,
      0.0282,
      0.1671,
      0.0762,
      0.1478,
      0.5013,
      0.0056,
      0.1985,
      0.3101,
      0.2333,
      0.1501,
      0.1105,
      0.1913,
      0.2192,
      0.0927,
      0.0702,
      0.0715,
      0.0832,
      0.0161,
      0.4751,
      0.3266,
      0.19,
      0.4683,
      0.133,
      0.1884,
      0.2456,
      0.2857,
      0.328,
      0.3347,
      0.4041,
      0.3486,
      0.3861,
      0,
      0.3968,
      0.1915,
      0,
      0.5044,
      0,
      0.1045,
      0.2408,
      0.2869,
      0,
      0.4128,
      0.429,
      0.2838,
      0.2438,
      0.2401,
      0.3623,
      0.2875,
      0.1719,
      0.5206,
      0.2125,
      0.0753,
      0.3699,
      0.1559,
      0.2649,
      0,
      0.18,
      0.0524,
      0.214,
      0.0401,
      0.1985,
      0.2072,
      0.096,
      0.4819,
      0.1982,
      0.1499,
      0.3794,
      0.2766,
      0.4057,
      0.201,
      0.3772,
      0.1729,
      0.1617,
      0.2201,
      0.1567,
      0.3773,
      0.1728,
      0.4235,
      0.1136,
      0.0986,
      0.4856,
      0.0302,
      0.2888,
      0.1612,
      0.2965,
      0.1424,
      0,
      0.2797,
      0.3765,
      0.4161,
      0.204,
      0.3682,
      0.1795,
      0.2477,
      0.4619,
      0.0148,
      0.1751,
      0.165,
      0.1578,
      0.0669,
      0.0153,
      0.3064,
      0.1466,
      0.3911,
      0.0391,
      0.3385,
      0.1908,
      0.3031,
      0.4947,
      0.1441,
      0.268,
      0.089,
      0.1177,
      0.1943,
      0.0433,
      0,
      0.3703,
      0.2288,
      0.2694,
      0.2018,
      0.3052,
      0,
      0.4862,
      0.1455,
      0,
      0.406,
      0.3088,
      0.2446,
      0.1323,
      0.4278,
      0,
      0.188,
      0.1774,
      0.1927,
      0.4078,
      0,
      0.4405,
      0.3058,
      0.3059,
      0.3707,
      0.3085,
      0.2125,
      0.2496,
      0.2483,
      0.3081,
      0.0847,
      0.1205,
      0.337,
      0.3898,
      0.2976,
      0.4215,
      0.37,
      0.2026,
      0.4875,
      0.1247,
      0.2119,
      0.1375,
      0.1697,
      0.1364,
      0.287,
      0.333,
      0.0751,
      0.4138,
      0.2707,
      0.3964,
      0.1571,
      0.227,
      0.54,
      0.2163,
      0.1277,
      0,
      0.3258,
      0.1667,
      0,
      0.2153,
      0.4268,
      0.3892,
      0.053,
      0.2329,
      0.1462,
      0.1643,
      0.4705,
      0.0384,
      0.1222,
      0.1861,
      0.0795,
      0.2741,
      0.0441,
      0.3904,
      0.2414,
      0.271,
      0.2577,
      0.3863,
      0.2018,
      0.0966,
      0.4095,
      0.1148,
      0.2302,
      0.0237,
      0.121,
      0.0563,
      0.181,
      0.1408,
      0.1299,
      0.2267,
      0.1337,
      0.0736,
      0.3037,
      0.1881,
      0.4545,
      0.209,
      0.1664,
      0.3629,
      0.0674,
      0,
      0.0371,
      0,
      0.2957,
      0.2367,
      0.2155,
      0.0884,
      0.3836,
      0.1806,
      0.4506,
      0.1837,
      0.1019,
      0.5094,
      0.2318,
      0.17,
      0.2049,
      0.2288,
      0.1867,
      0.2848,
      0.3149,
      0.3686,
      0.3906,
      0.3205,
      0.4413,
      0.2876,
      0.1266,
      0.5181,
      0.245,
      0.3746,
      0.1438,
      0.0803,
      0.2643,
      0.1104,
      0,
      0.3209,
      0.0868,
      0.0761,
      0.3448,
      0.0507,
      0.0802,
      0.5063,
      0.1262,
      0.066,
      0.1447,
      0.1397,
      0.0998,
      0,
      0.0984,
      0.0173,
      0,
      0,
      0,
      0,
      0,
      0,
      0.183,
      0.0607,
      0.0807,
      0.1328,
      0.0905,
      0.1176,
      0.0053,
      0.1297,
      0.0106,
      0,
      0.1171,
      0.2345,
      0.2342,
      0.1017,
      0.0643,
      0.1502,
      0.1441,
      0.2939,
      0,
      0.1622,
      0.1389,
      0.0625,
      0.0666,
      0.1351,
      0.1622,
      0.0252,
      0.0491,
      0.1081,
      0.1028,
      0.0908,
      0.1231,
      0.1121,
      0.2466,
      0.0446,
      0.0881,
      0.5311,
      0,
      0.2797,
      0.3145,
      0.1797,
      0.2212,
      0.2326,
      0.1491,
      0.2468,
      0.0783,
      0.0562,
      0.107,
      0.101,
      0.0105,
      0.5012,
      0.3735,
      0.2488,
      0.4688,
      0.1199,
      0.2182,
      0.2415,
      0.3847,
      0.3293,
      0.3094,
      0.5411,
      0.5665,
      0.3882,
      0,
      0.4215,
      0.2977,
      0,
      0.5027,
      0,
      0.0527,
      0.3364,
      0.2405,
      0,
      0.5382,
      0.4385,
      0.3107,
      0.2681,
      0.3014,
      0.3907,
      0.3082,
      0.2305,
      0.5122,
      0.2534,
      0.2197,
      0.3939,
      0.1466,
      0.3035,
      0,
      0.1553,
      0.2207,
      0.1178,
      0.0775,
      0.2974,
      0.1898,
      0.1516,
      0.5149,
      0.4472,
      0.2037,
      0.3139,
      0.2491,
      0.4827,
      0.3774,
      0.3912,
      0.1642,
      0.1712,
      0.2786,
      0.158,
      0.4164,
      0.1354,
      0.4359,
      0.0484,
      0.0397,
      0.4426,
      0.1095,
      0.3425,
      0.0612,
      0.3566,
      0.1753,
      0.0353,
      0.3411,
      0.3746,
      0.4413,
      0.1126,
      0.3259,
      0.1799,
      0.2304,
      0.3794,
      0,
      0.0936,
      0.22,
      0.1241,
      0.053,
      0.1065,
      0.3484,
      0.0956,
      0.4054,
      0.0784,
      0.3528,
      0.3123,
      0.2065,
      0.5093,
      0.1477,
      0.2899,
      0.1612,
      0.0725,
      0.1788,
      0.2598,
      0,
      0.3874,
      0.2634,
      0.1933,
      0.2575,
      0.3868,
      0.0562,
      0.524,
      0.0809,
      0,
      0.3885,
      0.2493,
      0.3768,
      0.2003,
      0.4147,
      0,
      0.1923,
      0.1905,
      0.2081,
      0.4299,
      0.0503,
      0.4836,
      0.3474,
      0.2575,
      0.2801,
      0.5016,
      0.3094,
      0.2694,
      0.1939,
      0.312,
      0.0466,
      0.2557,
      0.3443,
      0.4191,
      0.2589,
      0.3991,
      0.2561,
      0.2503,
      0.3898,
      0.107,
      0.3321,
      0.0658,
      0.2534,
      0.1224,
      0.1658,
      0.3461,
      0.0458,
      0.4363,
      0.2761,
      0.3885,
      0.1817,
      0.2057,
      0.5148,
      0.2326,
      0.3831,
      0,
      0.2794,
      0.1894,
      0.0472,
      0.3479,
      0.4372,
      0.398,
      0.1512,
      0.261,
      0.295,
      0.1477,
      0.4987,
      0,
      0.2116,
      0.2183,
      0.077,
      0.3483,
      0.0635,
      0.4291,
      0.1899,
      0.2733,
      0.2947,
      0.3886,
      0.3044,
      0.1073,
      0.4915,
      0.1882,
      0.28,
      0.0818,
      0.0927,
      0.1083,
      0.2547,
      0,
      0.0981,
      0.1529,
      0.1082,
      0.167,
      0.2821,
      0.3189,
      0.5274,
      0.2746,
      0.1536,
      0.2772,
      0.1138,
      0.0967,
      0.1413,
      0,
      0.3021,
      0.3027,
      0.1188,
      0.1639,
      0.419,
      0.1667,
      0.4916,
      0.1594,
      0.1113,
      0.4676,
      0.1441,
      0.1736,
      0.2048,
      0.1775,
      0.1955,
      0.3238,
      0.3158,
      0.4316,
      0.3817,
      0.3307,
      0.3794,
      0.2581,
      0.1463,
      0.5047,
      0.1748,
      0.2314,
      0.0351,
      0.0764,
      0.2096,
      0.0909,
      0.0286,
      0.2921,
      0.0665,
      0.0316,
      0.2514,
      0.0997,
      0.0013,
      0.5366,
      0.11,
      0.0558,
      0.1486,
      0.1657,
      0.0455,
      0,
      0.1058,
      0.0341,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1996,
      0.0975,
      0.1202,
      0.201,
      0.2,
      0.1377,
      0.036,
      0.1504,
      0.1168,
      0,
      0.0766,
      0.2888,
      0.1777,
      0.2138,
      0.1391,
      0.2953,
      0.1694,
      0.2698,
      0.0668,
      0.1067,
      0.1497,
      0.202,
      0.1407,
      0.1408,
      0.1367,
      0.0654,
      0.0463,
      0.0536,
      0.0998,
      0.1434,
      0.1865,
      0.2261,
      0.2003,
      0.0214,
      0.1843,
      0.5388,
      0.0148,
      0.2718,
      0.3093,
      0.1176,
      0.1754,
      0.2261,
      0.0194,
      0.2428,
      0.1489,
      0.1095,
      0.0613,
      0.1228,
      0.0107,
      0.5008,
      0.3183,
      0.201,
      0.4848,
      0.1306,
      0.2722,
      0.2604,
      0.2923,
      0.3117,
      0.2522,
      0.4139,
      0.4043,
      0.2709,
      0,
      0.4805,
      0.3221,
      0,
      0.5231,
      0,
      0.1241,
      0.2779,
      0.3367,
      0,
      0.4617,
      0.4679,
      0.234,
      0.2787,
      0.3707,
      0.4104,
      0.3083,
      0.2286,
      0.5323,
      0.2771,
      0.1336,
      0.369,
      0.152,
      0.3306,
      0,
      0.1695,
      0.1477,
      0.2113,
      0.1673,
      0.3251,
      0.2121,
      0.1731,
      0.5413,
      0.1316,
      0.2306,
      0.3649,
      0.2603,
      0.475,
      0.1925,
      0.3119,
      0.089,
      0.1666,
      0.3283,
      0.1368,
      0.4558,
      0.1452,
      0.4967,
      0.0849,
      0.1132,
      0.5039,
      0.0833,
      0.3563,
      0.2035,
      0.3231,
      0.1675,
      0,
      0.4119,
      0.4209,
      0.3692,
      0.1151,
      0.4519,
      0.1745,
      0.218,
      0.4532,
      0.0053,
      0.0786,
      0.1377,
      0.1792,
      0.131,
      0.1029,
      0.3965,
      0.142,
      0.3214,
      0.1001,
      0.3993,
      0.2679,
      0.2066,
      0.4982,
      0.2002,
      0.1705,
      0.2219,
      0.1344,
      0.2013,
      0.1591,
      0.0446,
      0.3324,
      0.2588,
      0.1944,
      0.2392,
      0.4426,
      0.0228,
      0.4761,
      0.0751,
      0,
      0.3005,
      0.2551,
      0.4168,
      0.1313,
      0.3889,
      0.0277,
      0.1993,
      0.1698,
      0.2248,
      0.4893,
      0.0708,
      0.4786,
      0.3226,
      0.336,
      0.39,
      0.2401,
      0.3674,
      0.2125,
      0.2183,
      0.3532,
      0.1791,
      0.3035,
      0.4011,
      0.4408,
      0.3233,
      0.4224,
      0.288,
      0.2603,
      0.4243,
      0.0847,
      0.3759,
      0.2003,
      0.2363,
      0.0893,
      0.1441,
      0.3598,
      0.1421,
      0.3521,
      0.2464,
      0.4232,
      0.1736,
      0.1598,
      0.449,
      0.1511,
      0.2301,
      0,
      0.3261,
      0.1585,
      0,
      0.4008,
      0.3946,
      0.3558,
      0.073,
      0.3115,
      0.2842,
      0.2932,
      0.4774,
      0.0473,
      0.2006,
      0.173,
      0.1447,
      0.3697,
      0.0056,
      0.3656,
      0.155,
      0.2613,
      0.3051,
      0.3151,
      0.1685,
      0.1253,
      0.4705,
      0.1344,
      0.2316,
      0.1531,
      0.1014,
      0.1247,
      0.2139,
      0.0751,
      0.2154,
      0.1609,
      0.1771,
      0.1951,
      0.1948,
      0.2135,
      0.5048,
      0.2152,
      0.2951,
      0.364,
      0.1158,
      0.0335,
      0.0793,
      0,
      0.3458,
      0.2571,
      0.2746,
      0.127,
      0.3664,
      0.1636,
      0.4483,
      0.3335,
      0.0518,
      0.4979,
      0.1845,
      0.2418,
      0.1428,
      0.2311,
      0.2303,
      0.2746,
      0.4426,
      0.4028,
      0.328,
      0.4118,
      0.387,
      0.2121,
      0.1696,
      0.4999,
      0.1738,
      0.3055,
      0.0973,
      0.1031,
      0.3014,
      0.1149,
      0.091,
      0.3928,
      0.1257,
      0.02,
      0.3214,
      0.1885,
      0.0685,
      0.5515,
      0.1156,
      0.0347,
      0.1537,
      0.1471,
      0.0895,
      0,
      0.096,
      0.0748,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1585,
      0.1993,
      0.1299,
      0.2031,
      0.1828,
      0.1374,
      0.1031,
      0.151,
      0.0404,
      0.0824,
      0.1777,
      0.2245,
      0.1627,
      0.2806,
      0.1334,
      0.1645,
      0.0489,
      0.2821,
      0.0638,
      0.1663,
      0.1045,
      0.123,
      0.1104,
      0.1622,
      0.1671,
      0.1538,
      0.0861,
      0.1353,
      0.12,
      0.168,
      0.1315,
      0.2386,
      0.2425,
      0.0862,
      0.3061,
      0.4228,
      0.0295,
      0.1326,
      0.3049,
      0.2655,
      0.3181,
      0.3335,
      0.1653,
      0.2463,
      0.2293,
      0.282,
      0.1116,
      0.1328,
      0,
      0.4836,
      0.2928,
      0.256,
      0.4062,
      0.3366,
      0.3037,
      0.3512,
      0.3425,
      0.4688,
      0.3176,
      0.3758,
      0.43,
      0.461,
      0.0757,
      0.5074,
      0.3418,
      0,
      0.4537,
      0.1316,
      0.1707,
      0.2462,
      0.4247,
      0.1275,
      0.359,
      0.4524,
      0.2704,
      0.3944,
      0.3982,
      0.3534,
      0.316,
      0.3779,
      0.4597,
      0.5477,
      0.192,
      0.3393,
      0.1588,
      0.347,
      0,
      0.1791,
      0.1091,
      0.2617,
      0.119,
      0.3218,
      0.4002,
      0.2075,
      0.4543,
      0.1001,
      0.3207,
      0.3431,
      0.4308,
      0.4626,
      0.1312,
      0.2979,
      0.13,
      0.1887,
      0.2942,
      0.1729,
      0.4841,
      0.1079,
      0.5058,
      0.0742,
      0.0286,
      0.4712,
      0.0775,
      0.3197,
      0.1752,
      0.3174,
      0.2044,
      0,
      0.3687,
      0.4514,
      0.3975,
      0.1818,
      0.4889,
      0.2159,
      0.1818,
      0.4198,
      0.0253,
      0.051,
      0.1674,
      0.1119,
      0.1885,
      0.0945,
      0.4174,
      0.1243,
      0.337,
      0.1898,
      0.3713,
      0.254,
      0.2088,
      0.476,
      0.2539,
      0.1125,
      0.2624,
      0.2017,
      0.1839,
      0.0741,
      0.1806,
      0.3275,
      0.1867,
      0.315,
      0.2752,
      0.4763,
      0.0884,
      0.4058,
      0.3052,
      0.0292,
      0.2075,
      0.3121,
      0.3905,
      0.1886,
      0.4314,
      0,
      0.3364,
      0.2409,
      0.2879,
      0.4881,
      0.1252,
      0.473,
      0.2819,
      0.4936,
      0.4005,
      0.1699,
      0.3595,
      0.449,
      0.2097,
      0.4941,
      0.4489,
      0.2662,
      0.4407,
      0.4955,
      0.4921,
      0.4723,
      0.5754,
      0.3425,
      0.4756,
      0.4063,
      0.3631,
      0.2578,
      0.1862,
      0.1772,
      0.169,
      0.4269,
      0.0982,
      0.3941,
      0.4552,
      0.3564,
      0.3605,
      0.2639,
      0.4906,
      0.1861,
      0.2594,
      0.0095,
      0.3313,
      0.2203,
      0.0711,
      0.3897,
      0.4014,
      0.3088,
      0.0123,
      0.3414,
      0.3284,
      0.3239,
      0.4355,
      0,
      0.1906,
      0.3364,
      0.1633,
      0.3624,
      0.0027,
      0.365,
      0.2754,
      0.1957,
      0.2342,
      0.2982,
      0.2081,
      0.2606,
      0.4374,
      0.2509,
      0.299,
      0.2287,
      0.086,
      0.1952,
      0.1787,
      0.1957,
      0.15,
      0.2322,
      0.3406,
      0.2779,
      0.3288,
      0.0797,
      0.4365,
      0.1546,
      0.2676,
      0.3356,
      0.2466,
      0.0494,
      0.1053,
      0,
      0.3037,
      0.2458,
      0.3601,
      0.2289,
      0.4157,
      0.1866,
      0.4764,
      0.2509,
      0,
      0.441,
      0.184,
      0.299,
      0.2043,
      0.2466,
      0.2726,
      0.2057,
      0.3707,
      0.3971,
      0.3072,
      0.398,
      0.3984,
      0.2408,
      0.1544,
      0.4847,
      0.2044,
      0.3854,
      0.1958,
      0.117,
      0.3554,
      0.0919,
      0.1176,
      0.3149,
      0,
      0.0445,
      0.384,
      0.1255,
      0.0297,
      0.427,
      0.2046,
      0.0905,
      0.1394,
      0.1898,
      0.0616,
      0.0021,
      0.0882,
      0.1153,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1787,
      0.1476,
      0.1194,
      0.1335,
      0.2108,
      0.1393,
      0.0698,
      0.1414,
      0.0347,
      0.0259,
      0.3252,
      0.1912,
      0.2525,
      0.2243,
      0.0973,
      0.17,
      0.1188,
      0.2305,
      0,
      0.1419,
      0.1161,
      0.1189,
      0.1939,
      0.2041,
      0.1691,
      0.2232,
      0.1177,
      0.1172,
      0.1901,
      0.2425,
      0.1779,
      0.2632,
      0.1936,
      0.0684,
      0.2897,
      0.4512,
      0,
      0.0946,
      0.2982,
      0.2556,
      0.2154,
      0.3721,
      0.1878,
      0.2055,
      0.2842,
      0.2555,
      0.1673,
      0.2515,
      0,
      0.5284,
      0.3979,
      0.2667,
      0.3778,
      0.2141,
      0.213,
      0.3261,
      0.3072,
      0.417,
      0.3149,
      0.2937,
      0.3737,
      0.332,
      0.1065,
      0.512,
      0.3436,
      0,
      0.434,
      0.3001,
      0.1279,
      0.3691,
      0.3991,
      0.048,
      0.2768,
      0.4094,
      0.3542,
      0.5815,
      0.4649,
      0.388,
      0.3727,
      0.3971,
      0.4431,
      0.4128,
      0.1788,
      0.3989,
      0.1044,
      0.2605,
      0,
      0.2033,
      0.1293,
      0.235,
      0.1192,
      0.3432,
      0.2561,
      0.3211,
      0.5132,
      0.2141,
      0.3109,
      0.2969,
      0.4262,
      0.3968,
      0.1673,
      0.2195,
      0.1737,
      0.2167,
      0.3141,
      0.1559,
      0.4156,
      0.1319,
      0.5109,
      0.1988,
      0.1495,
      0.3739,
      0.1787,
      0.2495,
      0.114,
      0.2961,
      0.2789,
      0.043,
      0.2444,
      0.3995,
      0.3845,
      0.1926,
      0.4619,
      0.2737,
      0.2918,
      0.3569,
      0.0053,
      0,
      0.159,
      0.138,
      0.1965,
      0,
      0.3634,
      0.0275,
      0.2506,
      0.1762,
      0.4113,
      0.2124,
      0.2146,
      0.4436,
      0.1901,
      0.2435,
      0.3027,
      0.1157,
      0.2356,
      0.1331,
      0.1436,
      0.2601,
      0.1768,
      0.3738,
      0.3848,
      0.3173,
      0.099,
      0.3992,
      0.3876,
      0.0335,
      0.1736,
      0.3036,
      0.2463,
      0.2167,
      0.3727,
      0.0736,
      0.4355,
      0.2525,
      0.2973,
      0.3327,
      0.148,
      0.4785,
      0.2037,
      0.4785,
      0.5591,
      0.2468,
      0.1575,
      0.5308,
      0.1703,
      0.4647,
      0.3603,
      0.152,
      0.5107,
      0.4187,
      0.4362,
      0.5172,
      0.4879,
      0.3277,
      0.4002,
      0.3819,
      0.2232,
      0.2977,
      0.1694,
      0.179,
      0.1985,
      0.3151,
      0.1537,
      0.3716,
      0.3546,
      0.4688,
      0.2772,
      0.1926,
      0.4155,
      0.2953,
      0.229,
      0,
      0.3129,
      0.2652,
      0.1334,
      0.2754,
      0.3701,
      0.2063,
      0.0373,
      0.4074,
      0.2549,
      0.3272,
      0.462,
      0,
      0.1974,
      0.3005,
      0.0715,
      0.274,
      0,
      0.3094,
      0.2308,
      0.2243,
      0.2335,
      0.4293,
      0.134,
      0.169,
      0.5083,
      0.2149,
      0.2436,
      0.2296,
      0.0987,
      0.2239,
      0.1577,
      0.1346,
      0.2346,
      0.26,
      0.3249,
      0.2357,
      0.2453,
      0.1867,
      0.4893,
      0.1815,
      0.2171,
      0.2419,
      0.2891,
      0.1032,
      0.2465,
      0,
      0.3481,
      0.3721,
      0.2654,
      0.2178,
      0.3267,
      0.1539,
      0.5286,
      0.39,
      0.0649,
      0.4285,
      0.2353,
      0.2537,
      0.1984,
      0.2779,
      0.2944,
      0.257,
      0.2143,
      0.3473,
      0.2476,
      0.3993,
      0.4539,
      0.259,
      0.1672,
      0.4421,
      0.2554,
      0.3953,
      0.1638,
      0.0475,
      0.3622,
      0.0764,
      0.0707,
      0.3431,
      0.0717,
      0.0529,
      0.3834,
      0.175,
      0.0163,
      0.4522,
      0.1811,
      0.063,
      0.1286,
      0.2062,
      0.0626,
      0,
      0.105,
      0.0341,
      0,
      0,
      0,
      0,
      0,
      0,
      0.216,
      0.1086,
      0.1308,
      0.1634,
      0.1605,
      0.1754,
      0.1177,
      0.2292,
      0.0521,
      0.006,
      0.3531,
      0.2074,
      0.3028,
      0.132,
      0.0876,
      0.1685,
      0.1727,
      0.2822,
      0,
      0.1144,
      0.1185,
      0.1251,
      0.1101,
      0.1245,
      0.2678,
      0.2111,
      0.0925,
      0.126,
      0.1772,
      0.1564,
      0.1217,
      0.1778,
      0.1204,
      0,
      0.3054,
      0.4366,
      0,
      0.0352,
      0.2548,
      0.1318,
      0.2138,
      0.2412,
      0.1977,
      0.2764,
      0.2065,
      0.1311,
      0.0413,
      0.1587,
      0.0528,
      0.4144,
      0.3145,
      0.207,
      0.3493,
      0.1624,
      0.2849,
      0.3014,
      0.3071,
      0.3697,
      0.3272,
      0.3253,
      0.4215,
      0.3689,
      0.1129,
      0.4478,
      0.2945,
      0,
      0.5238,
      0.0728,
      0.1321,
      0.268,
      0.2544,
      0,
      0.3264,
      0.4331,
      0.2179,
      0.3122,
      0.2952,
      0.2599,
      0.374,
      0.3395,
      0.5028,
      0.2538,
      0.147,
      0.2748,
      0.119,
      0.1992,
      0,
      0.2168,
      0.081,
      0.2331,
      0.1428,
      0.2899,
      0.1794,
      0.1911,
      0.4651,
      0.2565,
      0.1484,
      0.2989,
      0.2135,
      0.3086,
      0.1791,
      0.331,
      0.206,
      0.2113,
      0.3086,
      0.1308,
      0.4579,
      0.2255,
      0.4741,
      0.0923,
      0.1467,
      0.3724,
      0.1834,
      0.259,
      0.1492,
      0.2753,
      0.3401,
      0.0574,
      0.2623,
      0.43,
      0.4156,
      0.2166,
      0.4464,
      0.2721,
      0.2225,
      0.3521,
      0.0405,
      0.0248,
      0.1363,
      0.187,
      0.0924,
      0,
      0.3856,
      0.1451,
      0.3591,
      0.2286,
      0.3292,
      0.1467,
      0.181,
      0.4785,
      0.1994,
      0.2685,
      0.1595,
      0.1085,
      0.1882,
      0.1239,
      0.0848,
      0.3572,
      0.2292,
      0.1455,
      0.326,
      0.3983,
      0,
      0.5101,
      0.0806,
      0,
      0.2293,
      0.1842,
      0.2465,
      0.1243,
      0.4339,
      0.06,
      0.2366,
      0.2601,
      0.2462,
      0.456,
      0.0461,
      0.4204,
      0.2659,
      0.3537,
      0.3159,
      0.2787,
      0.1747,
      0.1857,
      0.1825,
      0.315,
      0.131,
      0.1773,
      0.4085,
      0.425,
      0.2857,
      0.4348,
      0.3444,
      0.2139,
      0.4095,
      0.0834,
      0.238,
      0.1606,
      0.2117,
      0.1126,
      0.2225,
      0.4073,
      0.1722,
      0.4301,
      0.2942,
      0.3909,
      0.1451,
      0.1384,
      0.4857,
      0.2409,
      0.2578,
      0,
      0.2647,
      0.3141,
      0.0557,
      0.2647,
      0.4619,
      0.3458,
      0.1153,
      0.3182,
      0.2102,
      0.3573,
      0.5075,
      0.0621,
      0.1821,
      0.3377,
      0.1539,
      0.2638,
      0.0668,
      0.4,
      0.2328,
      0.3314,
      0.2768,
      0.2881,
      0.106,
      0.1073,
      0.5095,
      0.1556,
      0.108,
      0.1721,
      0.1849,
      0.2024,
      0.1953,
      0.1143,
      0.1064,
      0.2455,
      0.1972,
      0.2082,
      0.2068,
      0.1899,
      0.5153,
      0.2587,
      0.2568,
      0.2705,
      0.1242,
      0.0686,
      0.0886,
      0,
      0.1963,
      0.3349,
      0.197,
      0.1372,
      0.4072,
      0.2454,
      0.3263,
      0.1697,
      0.1097,
      0.4035,
      0.1494,
      0.2812,
      0.1806,
      0.2094,
      0.2477,
      0.2944,
      0.287,
      0.4775,
      0.3159,
      0.3867,
      0.4108,
      0.3491,
      0.1494,
      0.4914,
      0.2654,
      0.3602,
      0.18,
      0.1381,
      0.2459,
      0.1173,
      0.1131,
      0.3549,
      0.1144,
      0.0313,
      0.3671,
      0.1906,
      0.0008,
      0.4802,
      0.0575,
      0.0833,
      0.0817,
      0.1309,
      0.0609,
      0,
      0.1416,
      0.0039,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1918,
      0.0212,
      0.1772,
      0.2035,
      0.3628,
      0.1739,
      0.1465,
      0.3478,
      0.1088,
      0.0472,
      0.2566,
      0.1325,
      0.3068,
      0.1238,
      0.1363,
      0.137,
      0.2313,
      0.3019,
      0.0713,
      0.1077,
      0.2315,
      0.1411,
      0.117,
      0.1328,
      0.1981,
      0.2137,
      0.0764,
      0.1284,
      0.0443,
      0.0346,
      0.1904,
      0.1594,
      0.1375,
      0.0615,
      0.2281,
      0.5619,
      0.025,
      0.1852,
      0.1967,
      0.2188,
      0.1409,
      0.3001,
      0.1823,
      0.2258,
      0.136,
      0.0735,
      0.1625,
      0.0733,
      0.0369,
      0.5827,
      0.3413,
      0.1674,
      0.362,
      0.1126,
      0.3071,
      0.2999,
      0.2911,
      0.4486,
      0.2999,
      0.4016,
      0.3795,
      0.4177,
      0.049,
      0.4578,
      0.2465,
      0,
      0.5017,
      0.0339,
      0.1666,
      0.268,
      0.2262,
      0,
      0.3545,
      0.3979,
      0.3853,
      0.321,
      0.3316,
      0.2755,
      0.373,
      0.2653,
      0.5273,
      0.2121,
      0.112,
      0.317,
      0.1593,
      0.2832,
      0,
      0.1644,
      0.1544,
      0.2619,
      0.1851,
      0.2548,
      0.1718,
      0.1392,
      0.5746,
      0.2265,
      0.1576,
      0.2823,
      0.1845,
      0.4023,
      0.1832,
      0.4007,
      0.2058,
      0.3321,
      0.2464,
      0.0757,
      0.4496,
      0.231,
      0.4792,
      0.1726,
      0.1044,
      0.4513,
      0.1556,
      0.3245,
      0.1951,
      0.2749,
      0.3943,
      0.1063,
      0.3987,
      0.3665,
      0.4347,
      0.2305,
      0.4294,
      0.228,
      0.2171,
      0.3976,
      0.1117,
      0.15,
      0.0421,
      0.1705,
      0.0353,
      0,
      0.3313,
      0.1409,
      0.4072,
      0.1531,
      0.3992,
      0.2168,
      0.2721,
      0.5006,
      0.1831,
      0.2841,
      0.1252,
      0.1204,
      0.2321,
      0.0981,
      0.1038,
      0.4089,
      0.3248,
      0.2761,
      0.3145,
      0.4362,
      0,
      0.5317,
      0.0753,
      0,
      0.2747,
      0.2884,
      0.4076,
      0.2075,
      0.4185,
      0,
      0.1342,
      0.2222,
      0.2261,
      0.4324,
      0.0414,
      0.5585,
      0.3081,
      0.2337,
      0.3039,
      0.1805,
      0.3812,
      0.3352,
      0.2559,
      0.3268,
      0.1092,
      0.2764,
      0.3442,
      0.404,
      0.3465,
      0.5272,
      0.343,
      0.2543,
      0.4567,
      0.1342,
      0.388,
      0.2113,
      0.2975,
      0.0881,
      0.1886,
      0.3295,
      0.1183,
      0.3996,
      0.2495,
      0.3882,
      0.1,
      0.2201,
      0.4827,
      0.3505,
      0.3067,
      0.0037,
      0.3348,
      0.2286,
      0.0983,
      0.36,
      0.4268,
      0.4196,
      0.1777,
      0.3827,
      0.2967,
      0.1558,
      0.5384,
      0.105,
      0.2315,
      0.324,
      0.0624,
      0.2951,
      0.0665,
      0.4482,
      0.2251,
      0.3709,
      0.2322,
      0.2699,
      0.2294,
      0.2781,
      0.5033,
      0.1752,
      0.2617,
      0.0171,
      0.1655,
      0.2183,
      0.2149,
      0.1806,
      0.1579,
      0.0884,
      0.1906,
      0.1152,
      0.2918,
      0.2594,
      0.5158,
      0.2464,
      0.3162,
      0.2772,
      0.0442,
      0.1228,
      0.0549,
      0,
      0.2991,
      0.3375,
      0.2532,
      0.1587,
      0.43,
      0.2016,
      0.552,
      0.2348,
      0.2288,
      0.4663,
      0.1542,
      0.2822,
      0.2784,
      0.159,
      0.2656,
      0.2896,
      0.3546,
      0.3775,
      0.4151,
      0.4716,
      0.4361,
      0.3395,
      0.0693,
      0.5197,
      0.2309,
      0.27,
      0.117,
      0.1605,
      0.2973,
      0.0512,
      0.1354,
      0.3248,
      0.0504,
      0.0483,
      0.3874,
      0.1001,
      0.0496,
      0.5436,
      0.0033,
      0.0871,
      0.0269,
      0.113,
      0.0598,
      0,
      0.166,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2299,
      0.0234,
      0.1847,
      0.1942,
      0.2827,
      0.2243,
      0.1906,
      0.3224,
      0.0618,
      0.1194,
      0.2323,
      0.1045,
      0.3398,
      0.0669,
      0.149,
      0.1029,
      0.2626,
      0.2707,
      0.0798,
      0.2143,
      0.221,
      0.2064,
      0.1266,
      0.0892,
      0.2011,
      0.1365,
      0.0898,
      0.1332,
      0.1015,
      0,
      0.1386,
      0.1045,
      0.139,
      0.0908,
      0.1105,
      0.4786,
      0,
      0.1809,
      0.3122,
      0.2657,
      0.1606,
      0.2298,
      0.2971,
      0.3323,
      0.0248,
      0.1728,
      0.1531,
      0.1074,
      0.0634,
      0.5001,
      0.3657,
      0.1726,
      0.299,
      0.0722,
      0.2462,
      0.3045,
      0.2999,
      0.4704,
      0.3221,
      0.3873,
      0.3955,
      0.3932,
      0.0688,
      0.3994,
      0.2664,
      0,
      0.4615,
      0.0513,
      0.0988,
      0.3284,
      0.2184,
      0,
      0.2371,
      0.3975,
      0.2793,
      0.3046,
      0.2806,
      0.2992,
      0.3057,
      0.2598,
      0.4735,
      0.1886,
      0.1547,
      0.2792,
      0.1847,
      0.2845,
      0,
      0.1453,
      0.06,
      0.2412,
      0.1432,
      0.3027,
      0.1766,
      0.1628,
      0.4344,
      0.4931,
      0.1727,
      0.2316,
      0.1467,
      0.3522,
      0.4454,
      0.3616,
      0.1117,
      0.2555,
      0.3128,
      0.182,
      0.4571,
      0.3075,
      0.4257,
      0.2403,
      0.1217,
      0.4321,
      0,
      0.2373,
      0.2164,
      0.2671,
      0.2956,
      0.1472,
      0.3737,
      0.4521,
      0.4522,
      0.2559,
      0.3456,
      0.3055,
      0.0868,
      0.3246,
      0.0588,
      0.2207,
      0.1256,
      0.1677,
      0.0451,
      0.0346,
      0.327,
      0.0457,
      0.388,
      0.2345,
      0.309,
      0.314,
      0.185,
      0.4383,
      0.1896,
      0.3578,
      0.1071,
      0.1999,
      0.1739,
      0.3005,
      0.0176,
      0.3653,
      0.2902,
      0.1932,
      0.3037,
      0.394,
      0,
      0.4652,
      0.0442,
      0.0095,
      0.2679,
      0.2813,
      0.3441,
      0.263,
      0.3966,
      0,
      0.1549,
      0.2228,
      0.1917,
      0.441,
      0.0099,
      0.4076,
      0.3324,
      0.3215,
      0.2626,
      0.2196,
      0.3239,
      0.2734,
      0.1447,
      0.3333,
      0.1055,
      0.2506,
      0.3419,
      0.4222,
      0.3542,
      0.4714,
      0.1969,
      0.1525,
      0.4062,
      0.177,
      0.3068,
      0.2212,
      0.2548,
      0.0416,
      0.2399,
      0.344,
      0.1693,
      0.4275,
      0.2522,
      0.3155,
      0.1682,
      0.2357,
      0.4255,
      0.3398,
      0.4268,
      0.0128,
      0.3229,
      0.3128,
      0.1429,
      0.2596,
      0.4394,
      0.3792,
      0.156,
      0.3158,
      0.2182,
      0.1982,
      0.4532,
      0.0287,
      0.1043,
      0.3212,
      0.1376,
      0.399,
      0.0926,
      0.4403,
      0.3195,
      0.3453,
      0.2215,
      0.3068,
      0.2845,
      0.1561,
      0.537,
      0.1529,
      0.3124,
      0.0394,
      0.1314,
      0.1716,
      0.3238,
      0.0256,
      0.1015,
      0.2043,
      0.1965,
      0.124,
      0.1582,
      0.4014,
      0.5221,
      0.3447,
      0.3489,
      0.2216,
      0.1245,
      0.0563,
      0.1799,
      0,
      0.2439,
      0.3335,
      0.3024,
      0.1512,
      0.4204,
      0.2265,
      0.4162,
      0.2756,
      0.1357,
      0.4082,
      0.1309,
      0.215,
      0.1868,
      0.1367,
      0.2382,
      0.3366,
      0.2935,
      0.429,
      0.3704,
      0.4299,
      0.4182,
      0.3334,
      0.1539,
      0.5265,
      0.1944,
      0.3607,
      0.1254,
      0.1023,
      0.2956,
      0.0579,
      0.086,
      0.3256,
      0.1262,
      0.084,
      0.3429,
      0.1264,
      0.0603,
      0.4951,
      0.1117,
      0.1127,
      0.0225,
      0.181,
      0.0943,
      0,
      0.2017,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2207,
      0.0358,
      0.1014,
      0.2346,
      0.2464,
      0.1573,
      0.0714,
      0.2449,
      0.0954,
      0.0365,
      0.1277,
      0.1837,
      0.3687,
      0.1306,
      0.208,
      0.1859,
      0.2411,
      0.308,
      0.1219,
      0.2219,
      0.2319,
      0.0816,
      0.1379,
      0.0557,
      0.2389,
      0.1451,
      0.0995,
      0.1625,
      0.1131,
      0.1006,
      0.0908,
      0.0976,
      0.161,
      0.1219,
      0.1445,
      0.5283,
      0.0231,
      0.2772,
      0.1769,
      0.1857,
      0.2008,
      0.2231,
      0.392,
      0.2514,
      0.2598,
      0.1746,
      0.1402,
      0.1291,
      0.0806,
      0.4662,
      0.3914,
      0.2479,
      0.3296,
      0.1329,
      0.1748,
      0.3562,
      0.2825,
      0.4166,
      0.2832,
      0.3805,
      0.4724,
      0.5132,
      0,
      0.4017,
      0.2586,
      0,
      0.4957,
      0.0788,
      0.1046,
      0.3696,
      0.2205,
      0,
      0.3212,
      0.4596,
      0.3487,
      0.3927,
      0.3171,
      0.282,
      0.2706,
      0.2405,
      0.5505,
      0.206,
      0.3904,
      0.2942,
      0.1727,
      0.2016,
      0,
      0.1793,
      0.1606,
      0.2686,
      0.1463,
      0.2265,
      0.2048,
      0.1204,
      0.5313,
      0.3283,
      0.1136,
      0.2455,
      0.2718,
      0.3885,
      0.235,
      0.4869,
      0.1289,
      0.2369,
      0.3015,
      0.1262,
      0.4552,
      0.2962,
      0.473,
      0.1868,
      0.0447,
      0.3967,
      0.0388,
      0.2289,
      0.2306,
      0.2957,
      0.2372,
      0.0966,
      0.2411,
      0.498,
      0.5335,
      0.3087,
      0.4062,
      0.3631,
      0.1367,
      0.329,
      0,
      0.0935,
      0.2132,
      0.1765,
      0.0772,
      0.1752,
      0.3638,
      0.087,
      0.512,
      0.147,
      0.3479,
      0.2152,
      0.2929,
      0.4937,
      0.1962,
      0.3061,
      0.1019,
      0.1437,
      0.2479,
      0.212,
      0.0694,
      0.4967,
      0.3739,
      0.1629,
      0.2548,
      0.393,
      0,
      0.5163,
      0.0501,
      0,
      0.2606,
      0.2417,
      0.2321,
      0.1807,
      0.5178,
      0,
      0.2228,
      0.3094,
      0.2085,
      0.485,
      0.036,
      0.5145,
      0.3037,
      0.2904,
      0.3212,
      0.2171,
      0.2681,
      0.2574,
      0.1252,
      0.4024,
      0.0714,
      0.1595,
      0.3674,
      0.4767,
      0.3202,
      0.4403,
      0.3199,
      0.2525,
      0.3869,
      0.1594,
      0.216,
      0.2442,
      0.2975,
      0.1856,
      0.2078,
      0.3726,
      0.2088,
      0.5356,
      0.2162,
      0.4106,
      0.3084,
      0.3332,
      0.511,
      0.2004,
      0.1912,
      0.0439,
      0.2897,
      0.1936,
      0.0935,
      0.14,
      0.5281,
      0.5083,
      0.1887,
      0.3293,
      0.2432,
      0.2081,
      0.508,
      0.0543,
      0.1546,
      0.2176,
      0.0972,
      0.2532,
      0.0587,
      0.5335,
      0.3736,
      0.3767,
      0.2758,
      0.3618,
      0.1838,
      0.116,
      0.5493,
      0.1379,
      0.2396,
      0.0548,
      0.1069,
      0.1304,
      0.2475,
      0.1994,
      0.2055,
      0.2683,
      0.2116,
      0.2349,
      0.2161,
      0.3652,
      0.5542,
      0.3534,
      0.3144,
      0.3008,
      0.1794,
      0.0827,
      0.11,
      0,
      0.2721,
      0.3802,
      0.2767,
      0.1076,
      0.5265,
      0.2169,
      0.4161,
      0.2265,
      0.0741,
      0.4482,
      0.1033,
      0.25,
      0.2246,
      0.1885,
      0.2641,
      0.282,
      0.3573,
      0.5138,
      0.4796,
      0.4275,
      0.4227,
      0.2911,
      0.1846,
      0.5258,
      0.2139,
      0.3226,
      0.1221,
      0.1204,
      0.3334,
      0.0612,
      0.1127,
      0.3818,
      0.1447,
      0.0534,
      0.3072,
      0.1456,
      0.0724,
      0.5308,
      0.2108,
      0.1392,
      0.0286,
      0.1683,
      0.1114,
      0.0618,
      0.2,
      0.0638,
      0.0003,
      0,
      0,
      0,
      0,
      0,
      0.2829,
      0,
      0.1827,
      0.2109,
      0.1871,
      0.1997,
      0.0679,
      0.162,
      0.1118,
      0.0611,
      0.223,
      0.2973,
      0.2345,
      0.2089,
      0.2022,
      0.2466,
      0.2992,
      0.3184,
      0.0865,
      0.2065,
      0.2215,
      0.2375,
      0.0943,
      0.1355,
      0.241,
      0.0923,
      0.0534,
      0.1383,
      0.1675,
      0.0667,
      0.1438,
      0.2121,
      0.2474,
      0.0481,
      0.2192,
      0.5366,
      0.0049,
      0.3301,
      0.2373,
      0.233,
      0.2014,
      0.4074,
      0.2516,
      0.2965,
      0.3181,
      0.3686,
      0.1441,
      0.2489,
      0.0176,
      0.497,
      0.343,
      0.253,
      0.2943,
      0.1311,
      0.1651,
      0.3394,
      0.3468,
      0.361,
      0.2858,
      0.362,
      0.5148,
      0.4889,
      0,
      0.4299,
      0.2504,
      0,
      0.4734,
      0.1211,
      0.0275,
      0.4129,
      0.2611,
      0,
      0.3535,
      0.4983,
      0.2961,
      0.3821,
      0.2322,
      0.3858,
      0.353,
      0.2722,
      0.4606,
      0.2331,
      0.4451,
      0.2461,
      0.0911,
      0.2074,
      0,
      0.1514,
      0.1662,
      0.3179,
      0.1911,
      0.2313,
      0.1066,
      0.1831,
      0.4769,
      0.2341,
      0.175,
      0.2479,
      0.3622,
      0.4158,
      0.1942,
      0.4642,
      0.1224,
      0.2857,
      0.3311,
      0.1268,
      0.509,
      0.2446,
      0.4951,
      0.1106,
      0.1043,
      0.4046,
      0.1305,
      0.3094,
      0.1912,
      0.4133,
      0.2943,
      0.1217,
      0.241,
      0.5024,
      0.5349,
      0.3172,
      0.4072,
      0.2919,
      0.2073,
      0.3329,
      0,
      0.0548,
      0.3252,
      0.1714,
      0.1344,
      0.2047,
      0.4274,
      0.1561,
      0.4946,
      0.0791,
      0.3544,
      0.261,
      0.1791,
      0.4271,
      0.339,
      0.2106,
      0.134,
      0.1594,
      0.3192,
      0.1682,
      0.1869,
      0.4731,
      0.3792,
      0.1275,
      0.327,
      0.4422,
      0,
      0.4866,
      0.0863,
      0,
      0.4388,
      0.2655,
      0.258,
      0.1564,
      0.5224,
      0,
      0.1669,
      0.3048,
      0.2665,
      0.5211,
      0.0175,
      0.452,
      0.2954,
      0.1716,
      0.3627,
      0.237,
      0.2607,
      0.3268,
      0.1039,
      0.4236,
      0.0006,
      0.2324,
      0.4446,
      0.512,
      0.2828,
      0.5144,
      0.2693,
      0.2994,
      0.3672,
      0.1537,
      0.2164,
      0.2354,
      0.3469,
      0.2137,
      0.1339,
      0.4322,
      0.1562,
      0.5391,
      0.284,
      0.3553,
      0.3831,
      0.3507,
      0.4799,
      0.2347,
      0.1855,
      0,
      0.3723,
      0.2517,
      0,
      0.1105,
      0.5373,
      0.4857,
      0.2148,
      0.3488,
      0.2939,
      0.2171,
      0.4345,
      0.0852,
      0.1705,
      0.2968,
      0.1175,
      0.3434,
      0.0813,
      0.523,
      0.2582,
      0.3665,
      0.3201,
      0.317,
      0.1771,
      0.1866,
      0.5286,
      0.3726,
      0.156,
      0.1732,
      0.143,
      0.1871,
      0.223,
      0.207,
      0.1984,
      0.1445,
      0.1856,
      0.2262,
      0.2911,
      0.2918,
      0.5517,
      0.1811,
      0.3124,
      0.3176,
      0.2807,
      0.1225,
      0.0341,
      0,
      0.3072,
      0.2908,
      0.3128,
      0.1918,
      0.5217,
      0.2734,
      0.5149,
      0.265,
      0.1495,
      0.4124,
      0.1804,
      0.2784,
      0.2179,
      0.1973,
      0.2818,
      0.3282,
      0.3333,
      0.5303,
      0.4598,
      0.4265,
      0.4706,
      0.2709,
      0.1736,
      0.49,
      0.1678,
      0.2111,
      0.191,
      0.0422,
      0.2795,
      0.1692,
      0.0712,
      0.3344,
      0.0486,
      0.039,
      0.3575,
      0.1527,
      0.1075,
      0.51,
      0.1097,
      0.1009,
      0.0011,
      0.1982,
      0.1175,
      0,
      0.1387,
      0.1555,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2447,
      0.0642,
      0.1006,
      0.1382,
      0.1275,
      0.1566,
      0.1396,
      0.1225,
      0.1065,
      0.0456,
      0.1498,
      0.2587,
      0.3024,
      0.2182,
      0.0584,
      0.1753,
      0.2045,
      0.3503,
      0.1621,
      0.312,
      0.1843,
      0.1727,
      0.1199,
      0.165,
      0.2532,
      0.0643,
      0.0761,
      0.1296,
      0.155,
      0.0932,
      0.1285,
      0.2809,
      0.1588,
      0.101,
      0.2119,
      0.5739,
      0.0546,
      0.3252,
      0.2954,
      0.324,
      0.336,
      0.3239,
      0.2234,
      0.3004,
      0.1976,
      0.2054,
      0.0856,
      0.226,
      0,
      0.5531,
      0.3915,
      0.2492,
      0.5075,
      0.2594,
      0.2054,
      0.3433,
      0.3999,
      0.3548,
      0.208,
      0.4696,
      0.5203,
      0.4122,
      0,
      0.4017,
      0.2802,
      0.0056,
      0.5277,
      0.2492,
      0.1454,
      0.4515,
      0.372,
      0,
      0.4792,
      0.4993,
      0.2964,
      0.29,
      0.3453,
      0.504,
      0.3362,
      0.3613,
      0.5967,
      0.3051,
      0.2147,
      0.3129,
      0.1679,
      0.187,
      0,
      0.1239,
      0.1405,
      0.2722,
      0.216,
      0.3198,
      0.1777,
      0.3326,
      0.5553,
      0.2475,
      0.0465,
      0.2918,
      0.202,
      0.4495,
      0.2379,
      0.3416,
      0.0842,
      0.2179,
      0.3269,
      0.0789,
      0.4976,
      0.1555,
      0.516,
      0.1736,
      0.0421,
      0.4223,
      0.1356,
      0.2181,
      0.1972,
      0.3109,
      0.2317,
      0.0774,
      0.2583,
      0.4987,
      0.4613,
      0.2986,
      0.4041,
      0.2835,
      0.3147,
      0.365,
      0.0204,
      0.1005,
      0.2287,
      0.1258,
      0.1269,
      0.1255,
      0.4655,
      0.1377,
      0.402,
      0.1227,
      0.324,
      0.2644,
      0.1679,
      0.4844,
      0.2104,
      0.2294,
      0.2866,
      0.1494,
      0.2484,
      0.1518,
      0.2333,
      0.3805,
      0.289,
      0.2728,
      0.4301,
      0.4509,
      0.1096,
      0.5619,
      0.0165,
      0.0271,
      0.4801,
      0.3092,
      0.2851,
      0.1798,
      0.4238,
      0,
      0.2851,
      0.3,
      0.2211,
      0.4879,
      0.0474,
      0.5323,
      0.2352,
      0.2886,
      0.256,
      0.4843,
      0.2088,
      0.243,
      0.1545,
      0.4491,
      0.1564,
      0.2428,
      0.468,
      0.5132,
      0.2513,
      0.5516,
      0.2502,
      0.2158,
      0.4,
      0.1387,
      0.2461,
      0.1947,
      0.2725,
      0.244,
      0.1524,
      0.4774,
      0.1316,
      0.461,
      0.5012,
      0.4461,
      0.1226,
      0.3206,
      0.5284,
      0.2565,
      0.2725,
      0,
      0.2724,
      0.2629,
      0.0041,
      0.2076,
      0.4493,
      0.3883,
      0.2213,
      0.2705,
      0.2469,
      0.3517,
      0.5436,
      0.0364,
      0.1898,
      0.2248,
      0.1466,
      0.3185,
      0.1049,
      0.4237,
      0.2752,
      0.3148,
      0.3386,
      0.3414,
      0.2268,
      0.2813,
      0.5493,
      0.1792,
      0.2535,
      0.2897,
      0.1512,
      0.2418,
      0.2093,
      0.1643,
      0.2399,
      0.2026,
      0.2644,
      0.2957,
      0.3124,
      0.1915,
      0.5791,
      0.1841,
      0.3779,
      0.2891,
      0.0998,
      0.1228,
      0.0919,
      0,
      0.3674,
      0.2285,
      0.3451,
      0.1005,
      0.4363,
      0.236,
      0.5074,
      0.3538,
      0.1488,
      0.4053,
      0.0536,
      0.1949,
      0.2538,
      0.1225,
      0.3115,
      0.2265,
      0.3901,
      0.4866,
      0.3752,
      0.4328,
      0.3427,
      0.2811,
      0.16,
      0.5478,
      0.2704,
      0.3707,
      0.2889,
      0,
      0.3393,
      0.1616,
      0.0424,
      0.261,
      0.1045,
      0.0978,
      0.2918,
      0.2526,
      0.0383,
      0.5686,
      0.2186,
      0.1566,
      0.0375,
      0.1605,
      0.0385,
      0.0779,
      0.1299,
      0.0221,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1891,
      0.0936,
      0.1866,
      0.1862,
      0.1773,
      0.2055,
      0.1126,
      0.1122,
      0.131,
      0.0076,
      0.2489,
      0.2886,
      0.2881,
      0.2247,
      0.1081,
      0.1471,
      0.2201,
      0.3133,
      0.0517,
      0.2713,
      0.1619,
      0.1224,
      0.1016,
      0.1388,
      0.1944,
      0.0027,
      0.1098,
      0.2026,
      0.101,
      0.2556,
      0.2394,
      0.3005,
      0.2018,
      0.0994,
      0.4294,
      0.5307,
      0.0562,
      0.1903,
      0.3225,
      0.2633,
      0.2721,
      0.3674,
      0.1979,
      0.2177,
      0.2375,
      0.2962,
      0.2314,
      0.3458,
      0.0665,
      0.5132,
      0.3421,
      0.2416,
      0.5063,
      0.158,
      0.1527,
      0.3362,
      0.3196,
      0.5226,
      0.2453,
      0.2856,
      0.4458,
      0.4528,
      0.0889,
      0.4672,
      0.3967,
      0,
      0.4693,
      0.4884,
      0.1147,
      0.3952,
      0.3865,
      0.1492,
      0.464,
      0.4751,
      0.3634,
      0.5193,
      0.2781,
      0.4053,
      0.3934,
      0.3268,
      0.5323,
      0.4176,
      0.2891,
      0.3854,
      0.1002,
      0.3434,
      0,
      0.0635,
      0.327,
      0.3234,
      0.1987,
      0.3818,
      0.4029,
      0.3869,
      0.5403,
      0.2844,
      0.0455,
      0.2005,
      0.1844,
      0.4014,
      0.2296,
      0.3985,
      0.1716,
      0.1533,
      0.2741,
      0.1447,
      0.4611,
      0.1716,
      0.4821,
      0.1984,
      0.0113,
      0.4192,
      0.1297,
      0.3151,
      0.2327,
      0.2818,
      0.2345,
      0.0929,
      0.2355,
      0.4719,
      0.4858,
      0.3002,
      0.4159,
      0.2778,
      0.2791,
      0.356,
      0.0288,
      0.1498,
      0.1744,
      0.1367,
      0.2148,
      0.1463,
      0.4115,
      0.142,
      0.4368,
      0.3064,
      0.3833,
      0.1984,
      0.1796,
      0.4559,
      0.1802,
      0.3085,
      0.3219,
      0.1513,
      0.1924,
      0.1696,
      0.2528,
      0.4349,
      0.3014,
      0.404,
      0.4489,
      0.5304,
      0.1228,
      0.5041,
      0.3158,
      0.052,
      0.4052,
      0.3723,
      0.2726,
      0.2601,
      0.4872,
      0,
      0.3668,
      0.2854,
      0.2042,
      0.4749,
      0.0419,
      0.5344,
      0.1898,
      0.4704,
      0.4661,
      0.2443,
      0.1971,
      0.39,
      0.1577,
      0.5086,
      0.3037,
      0.2258,
      0.5007,
      0.4757,
      0.3955,
      0.4966,
      0.4373,
      0.2084,
      0.3719,
      0.2486,
      0.2439,
      0.3409,
      0.3112,
      0.2044,
      0.2214,
      0.394,
      0.1313,
      0.4778,
      0.3876,
      0.4268,
      0.1252,
      0.248,
      0.482,
      0.3153,
      0.2317,
      0.0115,
      0.3032,
      0.1698,
      0.1051,
      0.2842,
      0.4888,
      0.42,
      0.1111,
      0.4265,
      0.2261,
      0.3112,
      0.5059,
      0.0714,
      0.145,
      0.3051,
      0.1673,
      0.3631,
      0.0268,
      0.4684,
      0.3648,
      0.3245,
      0.2634,
      0.3042,
      0.1351,
      0.2297,
      0.4841,
      0.1947,
      0.2984,
      0.2111,
      0.1125,
      0.199,
      0.1526,
      0.2442,
      0.3332,
      0.1923,
      0.3658,
      0.2684,
      0.3668,
      0.1495,
      0.531,
      0.2933,
      0.3311,
      0.2343,
      0.0375,
      0.1681,
      0.327,
      0.0048,
      0.3536,
      0.1508,
      0.2647,
      0.2042,
      0.4594,
      0.1676,
      0.4419,
      0.2551,
      0.1293,
      0.4237,
      0.2042,
      0.1523,
      0.2703,
      0.163,
      0.2848,
      0.2303,
      0.3131,
      0.467,
      0.4073,
      0.422,
      0.3998,
      0.2444,
      0.2444,
      0.5277,
      0.3383,
      0.3222,
      0.272,
      0.1066,
      0.3102,
      0.1363,
      0.0822,
      0.3635,
      0.0386,
      0.0902,
      0.3434,
      0.2085,
      0.1203,
      0.529,
      0.1895,
      0.0978,
      0.0543,
      0.1156,
      0.1985,
      0.0974,
      0.1229,
      0,
      0.0086,
      0,
      0,
      0,
      0,
      0,
      0.2305,
      0.2374,
      0.2174,
      0.201,
      0.138,
      0.2404,
      0.1301,
      0.2365,
      0.0681,
      0.093,
      0.3373,
      0.286,
      0.2716,
      0.168,
      0.103,
      0.215,
      0.1984,
      0.3344,
      0.1379,
      0.1808,
      0.1471,
      0.118,
      0.1122,
      0.1072,
      0.2454,
      0.116,
      0.1602,
      0.1396,
      0.1129,
      0.2371,
      0.1595,
      0.2922,
      0.2442,
      0.0968,
      0.3927,
      0.4921,
      0.0205,
      0.1716,
      0.2957,
      0.0823,
      0.2196,
      0.3401,
      0.1945,
      0.2803,
      0.1856,
      0.2195,
      0.0973,
      0.2308,
      0.0527,
      0.4561,
      0.4468,
      0.2189,
      0.3528,
      0.1042,
      0.1802,
      0.3746,
      0.3061,
      0.4954,
      0.3039,
      0.1985,
      0.3918,
      0.427,
      0.1032,
      0.4026,
      0.4117,
      0,
      0.5079,
      0.15,
      0.1611,
      0.3479,
      0.2857,
      0.0882,
      0.3309,
      0.4192,
      0.3138,
      0.4304,
      0.2618,
      0.3717,
      0.3634,
      0.319,
      0.4667,
      0.2711,
      0.1848,
      0.3146,
      0.059,
      0.3101,
      0,
      0.0889,
      0.2734,
      0.2571,
      0.227,
      0.3666,
      0.3268,
      0.2608,
      0.4868,
      0.1855,
      0.1311,
      0.2796,
      0.1444,
      0.3759,
      0.197,
      0.261,
      0.2232,
      0.3083,
      0.2883,
      0.1429,
      0.3432,
      0.1854,
      0.4302,
      0.234,
      0.0835,
      0.4216,
      0.1163,
      0.3623,
      0.244,
      0.3547,
      0.2954,
      0.0061,
      0.2579,
      0.4065,
      0.3687,
      0.2839,
      0.4436,
      0.2068,
      0.2402,
      0.3585,
      0.1252,
      0.0814,
      0.3163,
      0.1456,
      0.3157,
      0,
      0.3526,
      0.1265,
      0.2918,
      0.3121,
      0.393,
      0.208,
      0.1998,
      0.4795,
      0.1491,
      0.3319,
      0.3309,
      0.1681,
      0.2662,
      0.11,
      0.2353,
      0.2754,
      0.1909,
      0.1597,
      0.3374,
      0.423,
      0.1049,
      0.4853,
      0.4541,
      0.051,
      0.2036,
      0.2033,
      0.31,
      0.255,
      0.3605,
      0.0385,
      0.2198,
      0.2096,
      0.2682,
      0.3717,
      0.058,
      0.4711,
      0.2293,
      0.4352,
      0.3404,
      0.2319,
      0.2663,
      0.3101,
      0.125,
      0.3558,
      0.3006,
      0.2282,
      0.3773,
      0.4,
      0.3793,
      0.4405,
      0.4124,
      0.2109,
      0.4147,
      0.2487,
      0.2692,
      0.2694,
      0.2825,
      0.266,
      0.1919,
      0.4044,
      0.1196,
      0.3479,
      0.2635,
      0.4198,
      0.1341,
      0.331,
      0.445,
      0.2661,
      0.2127,
      0.0131,
      0.2619,
      0.2246,
      0.1215,
      0.3041,
      0.3423,
      0.2652,
      0.2076,
      0.4076,
      0.2518,
      0.3339,
      0.4886,
      0.0203,
      0.1722,
      0.3602,
      0.1571,
      0.3427,
      0.0164,
      0.3221,
      0.3283,
      0.3372,
      0.2635,
      0.2573,
      0.2253,
      0.1887,
      0.4419,
      0.2136,
      0.2996,
      0.2805,
      0.1626,
      0.2791,
      0.2077,
      0.2612,
      0.1656,
      0.1592,
      0.2889,
      0.3094,
      0.3227,
      0.1753,
      0.4511,
      0.3142,
      0.3028,
      0.2652,
      0.054,
      0.1299,
      0.0661,
      0,
      0.2838,
      0.2571,
      0.2316,
      0.2403,
      0.2572,
      0.2014,
      0.3552,
      0.3549,
      0.1735,
      0.3804,
      0.142,
      0.0969,
      0.2728,
      0.0598,
      0.2668,
      0.2113,
      0.3456,
      0.3415,
      0.2687,
      0.3785,
      0.4345,
      0.1493,
      0.2084,
      0.4669,
      0.2783,
      0.3219,
      0.2797,
      0.143,
      0.2378,
      0.1548,
      0.1304,
      0.3362,
      0.1087,
      0.0738,
      0.3585,
      0.1646,
      0.115,
      0.4473,
      0.1792,
      0.126,
      0.0669,
      0.1235,
      0.1331,
      0.0756,
      0.1522,
      0.0409,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2432,
      0.2445,
      0.1531,
      0.1885,
      0.3312,
      0.219,
      0.1388,
      0.2919,
      0.1342,
      0.05,
      0.3106,
      0.2841,
      0.3724,
      0.0896,
      0.0916,
      0.2014,
      0.2935,
      0.331,
      0.1441,
      0.2072,
      0.0594,
      0.0882,
      0.0604,
      0.066,
      0.3434,
      0.2015,
      0.0005,
      0.1984,
      0.1644,
      0.2422,
      0.2021,
      0.1879,
      0.2371,
      0.0946,
      0.374,
      0.5678,
      0.1392,
      0.2038,
      0.3945,
      0.1192,
      0.1502,
      0.3348,
      0.2324,
      0.3992,
      0.1625,
      0.1418,
      0.1368,
      0.0812,
      0.1183,
      0.5381,
      0.4147,
      0.086,
      0.4383,
      0.0624,
      0.2421,
      0.2617,
      0.2158,
      0.4177,
      0.2719,
      0.3192,
      0.3744,
      0.2897,
      0.0205,
      0.4138,
      0.3032,
      0,
      0.5142,
      0.0935,
      0.1152,
      0.2286,
      0.2551,
      0,
      0.3444,
      0.3755,
      0.3174,
      0.2823,
      0.2812,
      0.3606,
      0.3717,
      0.2223,
      0.5168,
      0.0869,
      0.0813,
      0.2478,
      0.0667,
      0.1989,
      0,
      0.1059,
      0.2576,
      0.1885,
      0.2347,
      0.2183,
      0.2079,
      0.2142,
      0.5342,
      0.4463,
      0.1903,
      0.3236,
      0.1726,
      0.3548,
      0.4778,
      0.3239,
      0.1753,
      0.3835,
      0.3605,
      0.1401,
      0.3442,
      0.2276,
      0.4989,
      0.2646,
      0.0887,
      0.455,
      0.0773,
      0.2299,
      0.1538,
      0.2636,
      0.4407,
      0.1231,
      0.2336,
      0.4059,
      0.3194,
      0.274,
      0.3551,
      0.2093,
      0.3158,
      0.4337,
      0.096,
      0.0776,
      0.1667,
      0.1765,
      0.101,
      0.063,
      0.3103,
      0.2236,
      0.3008,
      0.3089,
      0.3035,
      0.3671,
      0.2466,
      0.5162,
      0.2246,
      0.4712,
      0.2486,
      0.1931,
      0.168,
      0.3619,
      0.0375,
      0.2666,
      0.2434,
      0.2408,
      0.3352,
      0.3167,
      0,
      0.5408,
      0.0021,
      0,
      0.2685,
      0.1767,
      0.2632,
      0.2165,
      0.3387,
      0.0888,
      0.0477,
      0.2704,
      0.2394,
      0.4055,
      0.0267,
      0.5366,
      0.2182,
      0.274,
      0.3772,
      0.2247,
      0.2433,
      0.2307,
      0.1872,
      0.2925,
      0.0919,
      0.2157,
      0.3204,
      0.3253,
      0.193,
      0.5146,
      0.2014,
      0.1925,
      0.4644,
      0.0177,
      0.2032,
      0.2256,
      0.2028,
      0.2286,
      0.2341,
      0.2931,
      0.1054,
      0.3602,
      0.3161,
      0.4662,
      0.2097,
      0.2508,
      0.5096,
      0.207,
      0.4597,
      0.0791,
      0.3281,
      0.325,
      0.1714,
      0.2896,
      0.369,
      0.2841,
      0.2383,
      0.2459,
      0.293,
      0.4405,
      0.5085,
      0,
      0.1221,
      0.3805,
      0.2314,
      0.3672,
      0.0581,
      0.351,
      0.2213,
      0.3587,
      0.3097,
      0.3548,
      0.3577,
      0.123,
      0.4825,
      0.1462,
      0.3364,
      0.2056,
      0.1007,
      0.1951,
      0.3612,
      0.2071,
      0.134,
      0.1789,
      0.2299,
      0.2731,
      0.3276,
      0.3602,
      0.5534,
      0.3161,
      0.3792,
      0.3579,
      0.1578,
      0.0787,
      0.2177,
      0,
      0.3417,
      0.2303,
      0.2526,
      0.3229,
      0.3177,
      0.241,
      0.4439,
      0.2354,
      0.1135,
      0.5002,
      0.2013,
      0.1595,
      0.2361,
      0.1794,
      0.2996,
      0.239,
      0.2599,
      0.3976,
      0.2857,
      0.3077,
      0.4122,
      0.2375,
      0.2484,
      0.5125,
      0.2965,
      0.3515,
      0.1643,
      0.1111,
      0.2284,
      0.0032,
      0.1575,
      0.3398,
      0.1368,
      0.071,
      0.3521,
      0.018,
      0.0986,
      0.5152,
      0.1733,
      0.1859,
      0.0505,
      0.0628,
      0.1471,
      0.0412,
      0.1716,
      0.0918,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2255,
      0.2443,
      0.146,
      0.1557,
      0.4052,
      0.2047,
      0.105,
      0.2985,
      0.0718,
      0,
      0.3832,
      0.2443,
      0.3261,
      0.2094,
      0.1736,
      0.1043,
      0.2571,
      0.2358,
      0.1319,
      0.2286,
      0.0252,
      0.1613,
      0.0763,
      0.0874,
      0.2725,
      0.1687,
      0.0126,
      0.1173,
      0.1745,
      0.1765,
      0.1784,
      0.1786,
      0.2495,
      0.1194,
      0.3416,
      0.5499,
      0.076,
      0.1896,
      0.2835,
      0.2819,
      0.1918,
      0.276,
      0.2289,
      0.3374,
      0.1418,
      0.1577,
      0.0345,
      0.1221,
      0.0978,
      0.5739,
      0.3617,
      0.1853,
      0.2806,
      0.0866,
      0.1872,
      0.2828,
      0.2819,
      0.4644,
      0.1375,
      0.2647,
      0.4509,
      0.3448,
      0,
      0.4489,
      0.2535,
      0,
      0.3952,
      0.1558,
      0.0541,
      0.176,
      0.2987,
      0,
      0.323,
      0.4767,
      0.3758,
      0.1763,
      0.2574,
      0.3591,
      0.3338,
      0.0679,
      0.538,
      0.1617,
      0.1856,
      0.2143,
      0.1058,
      0.1741,
      0,
      0.0827,
      0.2331,
      0.2598,
      0.2764,
      0.3117,
      0.2062,
      0.2758,
      0.5497,
      0.3092,
      0.2586,
      0.2748,
      0.2986,
      0.3424,
      0.3612,
      0.3071,
      0.2523,
      0.2894,
      0.2946,
      0.1325,
      0.4883,
      0.2233,
      0.5182,
      0.2681,
      0.0187,
      0.3776,
      0.0021,
      0.2349,
      0.1556,
      0.2721,
      0.3917,
      0.0778,
      0.2435,
      0.4609,
      0.4548,
      0.3185,
      0.4342,
      0.1836,
      0.3029,
      0.291,
      0.1067,
      0.1137,
      0.1714,
      0.1193,
      0.1956,
      0.0806,
      0.384,
      0.1999,
      0.3428,
      0.2063,
      0.3892,
      0.3026,
      0.3187,
      0.4405,
      0.3021,
      0.4139,
      0.1889,
      0.2044,
      0.1753,
      0.2587,
      0.0727,
      0.3293,
      0.1941,
      0.252,
      0.3714,
      0.3872,
      0,
      0.528,
      0.0785,
      0.037,
      0.2512,
      0.1499,
      0.2863,
      0.2127,
      0.4193,
      0,
      0,
      0.2469,
      0.21,
      0.4797,
      0,
      0.5697,
      0.2648,
      0.1586,
      0.323,
      0.1883,
      0.2965,
      0.2003,
      0.1887,
      0.2202,
      0.0285,
      0.2184,
      0.3846,
      0.4618,
      0.2296,
      0.5281,
      0.2667,
      0.2952,
      0.3419,
      0,
      0.2714,
      0.2332,
      0.2189,
      0.2407,
      0.2681,
      0.4195,
      0.0664,
      0.459,
      0.3209,
      0.4821,
      0.2828,
      0.4303,
      0.4579,
      0.2073,
      0.3224,
      0.0315,
      0.259,
      0.2018,
      0.0962,
      0.3776,
      0.4441,
      0.3341,
      0.2492,
      0.3269,
      0.2399,
      0.3079,
      0.5531,
      0,
      0.2164,
      0.329,
      0.2213,
      0.3462,
      0,
      0.4164,
      0.3439,
      0.3134,
      0.2744,
      0.4228,
      0.2974,
      0.3288,
      0.5531,
      0.3287,
      0.3037,
      0.0926,
      0.059,
      0.1603,
      0.2859,
      0.1562,
      0.23,
      0.1957,
      0.2368,
      0.2685,
      0.249,
      0.3291,
      0.5298,
      0.3101,
      0.3303,
      0.2663,
      0.2071,
      0.0695,
      0.1939,
      0,
      0.3698,
      0.2251,
      0.2685,
      0.2465,
      0.437,
      0.1625,
      0.4908,
      0.3528,
      0.0955,
      0.3315,
      0.2524,
      0.1242,
      0.2366,
      0.1941,
      0.2724,
      0.2569,
      0.3274,
      0.4513,
      0.3152,
      0.3557,
      0.3979,
      0.2725,
      0.2073,
      0.4732,
      0.2326,
      0.2982,
      0.125,
      0.1775,
      0.3361,
      0.1582,
      0.1397,
      0.298,
      0.0557,
      0.1069,
      0.3585,
      0,
      0.0655,
      0.5401,
      0.146,
      0.2119,
      0.0172,
      0.1087,
      0.1107,
      0.0897,
      0.1423,
      0.0705,
      0,
      0,
      0,
      0,
      0,
      0,
      0.234,
      0.2331,
      0.1763,
      0.1165,
      0.2849,
      0.221,
      0.1919,
      0.2318,
      0.1037,
      0.0333,
      0.2051,
      0.2353,
      0.3191,
      0.1653,
      0.2212,
      0.2309,
      0.2599,
      0.2671,
      0.0728,
      0.192,
      0.0666,
      0.1653,
      0.0986,
      0.1735,
      0.2713,
      0.1005,
      0.101,
      0.1356,
      0.0872,
      0.1327,
      0.1614,
      0.1685,
      0.2686,
      0.149,
      0.2068,
      0.4903,
      0.0299,
      0.1593,
      0.2356,
      0.3347,
      0.1819,
      0.2521,
      0.3782,
      0.3021,
      0.2126,
      0.1926,
      0.0989,
      0.2463,
      0.0606,
      0.3982,
      0.278,
      0.2227,
      0.4086,
      0.107,
      0.1226,
      0.3465,
      0.3615,
      0.4739,
      0.1578,
      0.3391,
      0.436,
      0.3552,
      0,
      0.3353,
      0.2515,
      0,
      0.4358,
      0.1146,
      0.1305,
      0.2039,
      0.2297,
      0,
      0.3121,
      0.4181,
      0.2611,
      0.2245,
      0.1863,
      0.3131,
      0.3154,
      0.1568,
      0.4942,
      0.1507,
      0.2705,
      0.2182,
      0.1079,
      0.2727,
      0,
      0.0907,
      0.0971,
      0.2769,
      0.2345,
      0.2795,
      0.2183,
      0.184,
      0.4771,
      0.1333,
      0.2019,
      0.2696,
      0.1975,
      0.3426,
      0.2137,
      0.2956,
      0.1996,
      0.2868,
      0.3345,
      0.1679,
      0.4027,
      0.2471,
      0.486,
      0.2389,
      0.0893,
      0.399,
      0.0641,
      0.3143,
      0.2466,
      0.3468,
      0.4056,
      0.0029,
      0.3385,
      0.4219,
      0.4166,
      0.2845,
      0.3727,
      0.1089,
      0.2351,
      0.3584,
      0.1203,
      0.0879,
      0.1994,
      0.1674,
      0.1785,
      0.21,
      0.3782,
      0.1698,
      0.3272,
      0.1846,
      0.3597,
      0.2244,
      0.2656,
      0.4593,
      0.2253,
      0.3983,
      0.1684,
      0.1348,
      0.1202,
      0.2379,
      0.1757,
      0.2785,
      0.1751,
      0.1324,
      0.2659,
      0.3554,
      0,
      0.4593,
      0.0771,
      0.0642,
      0.27,
      0.1404,
      0.3231,
      0.11,
      0.4265,
      0,
      0.0626,
      0.2947,
      0.2596,
      0.4228,
      0.0407,
      0.4485,
      0.2504,
      0.1162,
      0.3423,
      0.1771,
      0.2919,
      0.2844,
      0.1319,
      0.2437,
      0.0353,
      0.2617,
      0.3738,
      0.4454,
      0.2687,
      0.3794,
      0.1919,
      0.1962,
      0.4051,
      0.0052,
      0.2807,
      0.2096,
      0.2389,
      0.2485,
      0.1055,
      0.4082,
      0.112,
      0.4093,
      0.241,
      0.4689,
      0.2298,
      0.3445,
      0.4328,
      0.1715,
      0.2673,
      0.0676,
      0.3417,
      0.3593,
      0.1108,
      0.3723,
      0.3932,
      0.3161,
      0.2795,
      0.3105,
      0.2402,
      0.2315,
      0.4531,
      0,
      0.214,
      0.3732,
      0.2067,
      0.3383,
      0,
      0.4139,
      0.3506,
      0.2098,
      0.1845,
      0.2693,
      0.2062,
      0.3049,
      0.4612,
      0.2148,
      0.3852,
      0.1589,
      0.1297,
      0.1438,
      0.2032,
      0.1512,
      0.19,
      0.2602,
      0.1504,
      0.2565,
      0.2418,
      0.2208,
      0.4658,
      0.2279,
      0.2702,
      0.2645,
      0.1741,
      0.1228,
      0.1447,
      0,
      0.2596,
      0.217,
      0.2744,
      0.1616,
      0.393,
      0.1319,
      0.4272,
      0.3995,
      0.1451,
      0.4138,
      0.2813,
      0.1263,
      0.274,
      0.0862,
      0.2805,
      0.2918,
      0.344,
      0.4177,
      0.2598,
      0.3111,
      0.3982,
      0.2218,
      0.228,
      0.4485,
      0.2832,
      0.3792,
      0.0863,
      0.1079,
      0.2506,
      0.173,
      0.1738,
      0.3082,
      0.0617,
      0.0508,
      0.3603,
      0,
      0.1253,
      0.4264,
      0.1703,
      0.1076,
      0.0003,
      0.2096,
      0.0276,
      0.0035,
      0.154,
      0.1937,
      0.0151,
      0,
      0,
      0,
      0,
      0,
      0.2322,
      0.2031,
      0.1899,
      0.2056,
      0.3474,
      0.2617,
      0,
      0.2225,
      0.1329,
      0,
      0.1827,
      0.2093,
      0.3513,
      0.2485,
      0.1728,
      0.3207,
      0.2358,
      0.2551,
      0.0956,
      0.2127,
      0.0826,
      0.2121,
      0.0944,
      0.0707,
      0.1962,
      0.0666,
      0.0802,
      0.1364,
      0.1362,
      0.1958,
      0.2151,
      0.221,
      0.2313,
      0.1355,
      0.2053,
      0.5067,
      0,
      0.2816,
      0.1356,
      0.3224,
      0.2429,
      0.2223,
      0.2634,
      0.2858,
      0.2825,
      0.3098,
      0.1223,
      0.1422,
      0.0202,
      0.4978,
      0.3282,
      0.304,
      0.341,
      0.2042,
      0.2908,
      0.3742,
      0.2622,
      0.4044,
      0.1928,
      0.4328,
      0.4527,
      0.3352,
      0,
      0.4228,
      0.2823,
      0,
      0.4593,
      0.0484,
      0.1591,
      0.2137,
      0.2117,
      0,
      0.2433,
      0.4638,
      0.2868,
      0.217,
      0.2275,
      0.2807,
      0.33,
      0.1609,
      0.5594,
      0.1828,
      0.1514,
      0.198,
      0.0577,
      0.3645,
      0,
      0.0201,
      0.1908,
      0.1982,
      0.2537,
      0.3124,
      0.2261,
      0.1709,
      0.4534,
      0.238,
      0.0993,
      0.1882,
      0.1996,
      0.339,
      0.2503,
      0.2035,
      0.2919,
      0.263,
      0.3683,
      0.2205,
      0.5129,
      0.1371,
      0.399,
      0.1699,
      0.0339,
      0.4469,
      0.0513,
      0.4326,
      0.2277,
      0.403,
      0.2454,
      0.116,
      0.4148,
      0.4478,
      0.4237,
      0.3033,
      0.4656,
      0.0257,
      0.1936,
      0.3056,
      0.0789,
      0.115,
      0.2616,
      0.1273,
      0.2355,
      0.2674,
      0.4095,
      0.2585,
      0.3326,
      0.1687,
      0.4083,
      0.2187,
      0.2883,
      0.4213,
      0.2369,
      0.3104,
      0.1964,
      0.1986,
      0.1741,
      0.0143,
      0.2164,
      0.2672,
      0.1923,
      0.1445,
      0.3049,
      0.4683,
      0,
      0.4587,
      0.0845,
      0,
      0.2133,
      0.1682,
      0.4334,
      0.1509,
      0.4129,
      0,
      0.0582,
      0.2903,
      0.2497,
      0.5088,
      0.0648,
      0.5254,
      0.262,
      0.252,
      0.2437,
      0.1248,
      0.3705,
      0.1257,
      0.2055,
      0.3267,
      0.013,
      0.3483,
      0.3936,
      0.4786,
      0.1751,
      0.4461,
      0.2071,
      0.1604,
      0.4445,
      0.0553,
      0.3955,
      0.2927,
      0.2651,
      0.2025,
      0.2361,
      0.3951,
      0.1075,
      0.4418,
      0.331,
      0.398,
      0.0905,
      0.2584,
      0.4159,
      0.2205,
      0.3031,
      0.0936,
      0.3829,
      0.3126,
      0.0885,
      0.4066,
      0.4139,
      0.3349,
      0.2843,
      0.2611,
      0.3169,
      0.3134,
      0.4785,
      0.0393,
      0.2097,
      0.2988,
      0.2701,
      0.4001,
      0.0721,
      0.4102,
      0.2478,
      0.2357,
      0.275,
      0.2751,
      0.2244,
      0.173,
      0.5147,
      0.1626,
      0.3249,
      0.2002,
      0.1924,
      0.1556,
      0.1839,
      0.2185,
      0.2545,
      0.2624,
      0.176,
      0.2728,
      0.2107,
      0.2536,
      0.4967,
      0.2709,
      0.2991,
      0.2229,
      0.1586,
      0.0899,
      0.1184,
      0,
      0.2216,
      0.2477,
      0.3794,
      0.2269,
      0.4127,
      0.2638,
      0.4177,
      0.1887,
      0.1767,
      0.3466,
      0.3185,
      0.2084,
      0.299,
      0.0404,
      0.2769,
      0.2707,
      0.4461,
      0.4562,
      0.2347,
      0.2909,
      0.3983,
      0.2076,
      0.2224,
      0.4621,
      0.3045,
      0.277,
      0.1069,
      0.0832,
      0.1793,
      0.1135,
      0.1411,
      0.2496,
      0.1614,
      0.1614,
      0.3426,
      0.0565,
      0.1033,
      0.5054,
      0.2266,
      0.0644,
      0.0243,
      0.2445,
      0,
      0.1147,
      0.1522,
      0.1743,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2057,
      0.2716,
      0.1603,
      0.2299,
      0.2157,
      0.2365,
      0.0409,
      0.2516,
      0.1065,
      0.0648,
      0.2639,
      0.2155,
      0.2995,
      0.3471,
      0.2346,
      0.337,
      0.2406,
      0.4121,
      0.1165,
      0.2614,
      0.0707,
      0.1636,
      0.1301,
      0.0892,
      0.206,
      0.1509,
      0.1589,
      0.1973,
      0.1027,
      0.2481,
      0.2176,
      0.2671,
      0.2468,
      0.1666,
      0.2516,
      0.5422,
      0.1047,
      0.4267,
      0.2669,
      0.4035,
      0.4165,
      0.3549,
      0.1505,
      0.2588,
      0.2637,
      0.2789,
      0.1214,
      0.1762,
      0.0259,
      0.5872,
      0.3665,
      0.3145,
      0.4345,
      0.283,
      0.3122,
      0.3092,
      0.2505,
      0.3055,
      0.182,
      0.4418,
      0.4115,
      0.3914,
      0,
      0.5074,
      0.3384,
      0,
      0.4787,
      0.1769,
      0.1798,
      0.17,
      0.3175,
      0.0046,
      0.2305,
      0.4828,
      0.3759,
      0.2833,
      0.2406,
      0.3445,
      0.3522,
      0.2252,
      0.5186,
      0.2517,
      0.1931,
      0.2688,
      0.1038,
      0.3899,
      0,
      0,
      0.2106,
      0.3028,
      0.21,
      0.2846,
      0.217,
      0.2536,
      0.5451,
      0.2096,
      0.1525,
      0.2243,
      0.182,
      0.3103,
      0.2877,
      0.3333,
      0.2675,
      0.2348,
      0.3977,
      0.16,
      0.4311,
      0.1282,
      0.4783,
      0.1666,
      0.0676,
      0.4163,
      0.1599,
      0.4307,
      0.1909,
      0.3297,
      0.298,
      0.078,
      0.4552,
      0.418,
      0.3227,
      0.365,
      0.4863,
      0.1143,
      0.2269,
      0.3086,
      0.125,
      0.1511,
      0.3591,
      0.1205,
      0.2162,
      0.2401,
      0.3855,
      0.2694,
      0.4025,
      0.1325,
      0.3211,
      0.2556,
      0.3699,
      0.458,
      0.2985,
      0.2462,
      0.3648,
      0.1903,
      0.2345,
      0.0918,
      0.1791,
      0.3796,
      0.2712,
      0.2601,
      0.3478,
      0.4757,
      0,
      0.5224,
      0.0763,
      0.0113,
      0.2348,
      0.1613,
      0.464,
      0.1191,
      0.4245,
      0,
      0.1082,
      0.261,
      0.2519,
      0.429,
      0.0503,
      0.5304,
      0.2711,
      0.2359,
      0.2875,
      0.098,
      0.4054,
      0.1632,
      0.2732,
      0.3587,
      0.1028,
      0.3729,
      0.3709,
      0.4331,
      0.0713,
      0.5111,
      0.3184,
      0.1851,
      0.4455,
      0.0415,
      0.4209,
      0.3061,
      0.2776,
      0.2733,
      0.1095,
      0.3923,
      0.1009,
      0.4034,
      0.475,
      0.4641,
      0.0713,
      0.2554,
      0.4818,
      0.3211,
      0.3303,
      0.1467,
      0.2956,
      0.3014,
      0.1023,
      0.4137,
      0.3976,
      0.3996,
      0.3312,
      0.3303,
      0.3665,
      0.3022,
      0.5523,
      0.0871,
      0.23,
      0.3235,
      0.2396,
      0.431,
      0.0096,
      0.4299,
      0.2753,
      0.278,
      0.2373,
      0.4277,
      0.2914,
      0.3699,
      0.5725,
      0.1675,
      0.2569,
      0.3754,
      0.1454,
      0.1437,
      0.1714,
      0.1669,
      0.2037,
      0.2636,
      0.203,
      0.3881,
      0.3202,
      0.1896,
      0.554,
      0.3128,
      0.3219,
      0.1591,
      0.0924,
      0.0483,
      0.1734,
      0,
      0.363,
      0.2543,
      0.3777,
      0.2658,
      0.4208,
      0.2417,
      0.4593,
      0.1756,
      0.2174,
      0.4562,
      0.2505,
      0.2594,
      0.2106,
      0.1358,
      0.2694,
      0.2701,
      0.4641,
      0.4236,
      0.3822,
      0.3871,
      0.4445,
      0.2094,
      0.2399,
      0.5285,
      0.2826,
      0.3177,
      0.2253,
      0.0565,
      0.2706,
      0.1704,
      0.146,
      0.2801,
      0.1378,
      0.1024,
      0.3277,
      0.1351,
      0.1536,
      0.5481,
      0.1705,
      0.1443,
      0.058,
      0.2594,
      0.0779,
      0.0122,
      0.165,
      0.121,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1945,
      0.2926,
      0.2368,
      0.2209,
      0.2069,
      0.2138,
      0.1078,
      0.2229,
      0.113,
      0.0681,
      0.2571,
      0.3589,
      0.31,
      0.357,
      0.2174,
      0.273,
      0.1477,
      0.385,
      0.1052,
      0.2658,
      0.0989,
      0.1912,
      0.1956,
      0.12,
      0.1794,
      0.1058,
      0.165,
      0.1608,
      0.1046,
      0.2486,
      0.232,
      0.2726,
      0.2415,
      0.1031,
      0.2228,
      0.5257,
      0.0911,
      0.3964,
      0.3075,
      0.3162,
      0.2704,
      0.4233,
      0.2122,
      0.2953,
      0.349,
      0.2852,
      0.3123,
      0.3227,
      0.0734,
      0.4569,
      0.3665,
      0.2448,
      0.3621,
      0.1097,
      0.2347,
      0.376,
      0.3024,
      0.3248,
      0.1213,
      0.4119,
      0.3376,
      0.3009,
      0.0281,
      0.4316,
      0.3124,
      0,
      0.4717,
      0.3799,
      0.115,
      0.3494,
      0.4004,
      0.0098,
      0.2195,
      0.4451,
      0.2776,
      0.3965,
      0.2879,
      0.3122,
      0.3389,
      0.3216,
      0.5155,
      0.2425,
      0.3679,
      0.2853,
      0.1205,
      0.3596,
      0,
      0,
      0.3166,
      0.2715,
      0.1513,
      0.2957,
      0.2627,
      0.3679,
      0.5383,
      0.2228,
      0.2121,
      0.2804,
      0.0935,
      0.3746,
      0.2208,
      0.345,
      0.2692,
      0.2097,
      0.3888,
      0.1436,
      0.4096,
      0.1776,
      0.4668,
      0.2673,
      0.0602,
      0.4311,
      0.1116,
      0.4042,
      0.2112,
      0.3573,
      0.308,
      0.1413,
      0.4294,
      0.3262,
      0.3766,
      0.4001,
      0.4265,
      0.0342,
      0.2107,
      0.3639,
      0.172,
      0.1829,
      0.2329,
      0.173,
      0.2355,
      0.1356,
      0.3082,
      0.2891,
      0.3264,
      0.2149,
      0.3057,
      0.2484,
      0.2883,
      0.4938,
      0.2304,
      0.219,
      0.2798,
      0.1798,
      0.2556,
      0.1378,
      0.1146,
      0.3847,
      0.2692,
      0.2866,
      0.3914,
      0.4092,
      0,
      0.5037,
      0.054,
      0,
      0.3454,
      0.1177,
      0.4281,
      0.1521,
      0.3054,
      0,
      0.1745,
      0.2601,
      0.22,
      0.4025,
      0.0425,
      0.5101,
      0.2436,
      0.1907,
      0.4163,
      0.1535,
      0.3517,
      0.3308,
      0.1915,
      0.4406,
      0.1866,
      0.3418,
      0.4515,
      0.4415,
      0.2089,
      0.4128,
      0.2552,
      0.1336,
      0.3624,
      0.1144,
      0.375,
      0.3405,
      0.3601,
      0.2537,
      0.186,
      0.364,
      0.072,
      0.3183,
      0.3587,
      0.432,
      0.1013,
      0.194,
      0.4269,
      0.2888,
      0.2635,
      0.1084,
      0.4248,
      0.2612,
      0.0344,
      0.3942,
      0.322,
      0.3148,
      0.2717,
      0.3449,
      0.3378,
      0.3647,
      0.4695,
      0.0328,
      0.2287,
      0.2729,
      0.2242,
      0.3669,
      0.015,
      0.407,
      0.3132,
      0.1759,
      0.2686,
      0.3069,
      0.2272,
      0.2279,
      0.4715,
      0.2008,
      0.314,
      0.1802,
      0.1824,
      0.2449,
      0.1739,
      0.1687,
      0.3981,
      0.2545,
      0.2849,
      0.3296,
      0.4491,
      0.1194,
      0.5565,
      0.3243,
      0.3421,
      0.2879,
      0.1111,
      0.1239,
      0.3669,
      0.0266,
      0.3583,
      0.2579,
      0.3468,
      0.1765,
      0.3374,
      0.2542,
      0.4703,
      0.2258,
      0.1222,
      0.3444,
      0.2216,
      0.1974,
      0.2937,
      0.1347,
      0.2612,
      0.2196,
      0.4314,
      0.3435,
      0.3281,
      0.4043,
      0.413,
      0.1553,
      0.2997,
      0.4603,
      0.1825,
      0.248,
      0.2551,
      0.0997,
      0.2881,
      0.1175,
      0.1199,
      0.2662,
      0.2103,
      0.1598,
      0.3425,
      0.1372,
      0.1989,
      0.4628,
      0.206,
      0.1106,
      0.0457,
      0.2283,
      0.1663,
      0.0412,
      0.1491,
      0.1022,
      0.0092,
      0,
      0,
      0,
      0,
      0,
      0.2061,
      0.3019,
      0.1781,
      0.2034,
      0.2613,
      0.2614,
      0.0478,
      0.239,
      0.131,
      0.1293,
      0.33,
      0.3609,
      0.3327,
      0.3158,
      0.254,
      0.2992,
      0.1029,
      0.3288,
      0.157,
      0.179,
      0.0819,
      0.2501,
      0.1855,
      0.1266,
      0.198,
      0.2733,
      0.1906,
      0.0938,
      0.108,
      0.3609,
      0.266,
      0.3651,
      0.22,
      0.131,
      0.3453,
      0.4885,
      0.0955,
      0.2117,
      0.3251,
      0.2171,
      0.3462,
      0.3776,
      0.1816,
      0.2912,
      0.2075,
      0.2144,
      0.121,
      0.1971,
      0,
      0.4486,
      0.2874,
      0.1859,
      0.4463,
      0.1153,
      0.3335,
      0.2915,
      0.3144,
      0.3129,
      0.151,
      0.3514,
      0.4037,
      0.423,
      0.0099,
      0.3999,
      0.3447,
      0,
      0.4684,
      0.1267,
      0.1951,
      0.3697,
      0.3249,
      0.0137,
      0.2764,
      0.4101,
      0.2994,
      0.4447,
      0.2638,
      0.293,
      0.3473,
      0.2215,
      0.5447,
      0.3971,
      0.3302,
      0.2246,
      0.0816,
      0.3108,
      0,
      0.0428,
      0.3131,
      0.2592,
      0.2019,
      0.3497,
      0.4084,
      0.2512,
      0.445,
      0.3022,
      0.1883,
      0.2672,
      0.2053,
      0.4153,
      0.3045,
      0.3184,
      0.3449,
      0.1933,
      0.3396,
      0.1505,
      0.3546,
      0.1,
      0.4209,
      0.246,
      0.0515,
      0.4198,
      0.2093,
      0.3858,
      0.2214,
      0.3146,
      0.2786,
      0.08,
      0.3425,
      0.2575,
      0.3272,
      0.2418,
      0.3874,
      0.0899,
      0.2543,
      0.3658,
      0.1942,
      0.1878,
      0.1826,
      0.1676,
      0.3527,
      0.1222,
      0.3434,
      0.2377,
      0.3764,
      0.2438,
      0.2111,
      0.3568,
      0.2689,
      0.5032,
      0.183,
      0.2923,
      0.3676,
      0.1903,
      0.2385,
      0.2774,
      0.3336,
      0.3406,
      0.2452,
      0.1537,
      0.2824,
      0.2945,
      0.0856,
      0.5061,
      0.263,
      0.0605,
      0.3151,
      0.1199,
      0.3745,
      0.1363,
      0.3961,
      0.0105,
      0.0922,
      0.2702,
      0.2023,
      0.3679,
      0,
      0.4972,
      0.2494,
      0.2837,
      0.2763,
      0.3335,
      0.3617,
      0.1836,
      0.2384,
      0.2627,
      0.4223,
      0.2937,
      0.4362,
      0.3324,
      0.3413,
      0.4011,
      0.3156,
      0.2066,
      0.416,
      0.1773,
      0.3618,
      0.1934,
      0.2651,
      0.2361,
      0.2125,
      0.3736,
      0.1609,
      0.3512,
      0.3266,
      0.4086,
      0.2064,
      0.3202,
      0.4539,
      0.2749,
      0.3468,
      0.086,
      0.378,
      0.2852,
      0.0558,
      0.4074,
      0.3558,
      0.374,
      0.2915,
      0.3218,
      0.3065,
      0.4118,
      0.484,
      0.082,
      0.2,
      0.346,
      0.2363,
      0.3315,
      0,
      0.3271,
      0.3595,
      0.2792,
      0.334,
      0.3521,
      0.3224,
      0.204,
      0.461,
      0.2508,
      0.3672,
      0.2611,
      0.2041,
      0.2732,
      0.2861,
      0.3206,
      0.1397,
      0.2633,
      0.1806,
      0.3357,
      0.3159,
      0.2318,
      0.5592,
      0.3335,
      0.252,
      0.3092,
      0.2107,
      0.147,
      0.1815,
      0,
      0.2613,
      0.249,
      0.3252,
      0.205,
      0.3709,
      0.2149,
      0.441,
      0.2079,
      0.186,
      0.3674,
      0.2522,
      0.2864,
      0.2779,
      0.161,
      0.2278,
      0.1659,
      0.3385,
      0.3493,
      0.335,
      0.3261,
      0.3972,
      0.1491,
      0.3041,
      0.4861,
      0.251,
      0.289,
      0.253,
      0.0963,
      0.2277,
      0.164,
      0.1438,
      0.2692,
      0.1926,
      0.2035,
      0.348,
      0.1336,
      0.2238,
      0.4892,
      0.2293,
      0.1255,
      0.0689,
      0.187,
      0.1354,
      0.0258,
      0.1534,
      0.1305,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2419,
      0.3463,
      0.206,
      0.159,
      0.2172,
      0.2749,
      0.0514,
      0.206,
      0.0742,
      0.1579,
      0.3519,
      0.4056,
      0.3466,
      0.2041,
      0.2707,
      0.3093,
      0.2012,
      0.3108,
      0.0999,
      0.2011,
      0.0365,
      0.1817,
      0.1469,
      0.1062,
      0.2602,
      0.302,
      0.2345,
      0.1905,
      0.1738,
      0.3347,
      0.2581,
      0.4069,
      0.2238,
      0.1038,
      0.3621,
      0.4134,
      0.1517,
      0.1441,
      0.2854,
      0.1303,
      0.3816,
      0.4106,
      0.1689,
      0.318,
      0.1554,
      0.2484,
      0.0798,
      0.1457,
      0,
      0.4389,
      0.2044,
      0.1988,
      0.4423,
      0.1325,
      0.2201,
      0.3195,
      0.2778,
      0.2428,
      0.2085,
      0.3331,
      0.4002,
      0.4461,
      0.0071,
      0.3915,
      0.4004,
      0,
      0.453,
      0.0423,
      0.1351,
      0.2947,
      0.3113,
      0.0662,
      0.3133,
      0.4536,
      0.3369,
      0.275,
      0.2068,
      0.2489,
      0.3512,
      0.2552,
      0.5355,
      0.3032,
      0.1842,
      0.1827,
      0.1069,
      0.2697,
      0,
      0.015,
      0.2435,
      0.2675,
      0.2223,
      0.2987,
      0.3979,
      0.177,
      0.3763,
      0.2159,
      0.3406,
      0.2539,
      0.1969,
      0.481,
      0.283,
      0.2831,
      0.3,
      0.2187,
      0.4016,
      0.1468,
      0.406,
      0.0288,
      0.4354,
      0.2692,
      0.154,
      0.4142,
      0.1812,
      0.2979,
      0.2439,
      0.3591,
      0.2856,
      0.135,
      0.3509,
      0.3919,
      0.3779,
      0.2832,
      0.3374,
      0.1453,
      0.3041,
      0.3741,
      0.222,
      0.1522,
      0.3805,
      0.1574,
      0.275,
      0.1466,
      0.3972,
      0.2916,
      0.3142,
      0.2566,
      0.3654,
      0.3481,
      0.257,
      0.4828,
      0.2451,
      0.3471,
      0.4172,
      0.1403,
      0.2178,
      0.2443,
      0.3768,
      0.2861,
      0.2064,
      0.1681,
      0.2615,
      0.3834,
      0.0964,
      0.5199,
      0.4147,
      0.1211,
      0.2826,
      0.1063,
      0.3267,
      0.1132,
      0.3297,
      0.0343,
      0.0908,
      0.2389,
      0.239,
      0.4095,
      0,
      0.5055,
      0.2797,
      0.2853,
      0.2802,
      0.2061,
      0.2097,
      0.1714,
      0.1504,
      0.1922,
      0.4354,
      0.2459,
      0.3577,
      0.4119,
      0.3705,
      0.4066,
      0.314,
      0.2383,
      0.4896,
      0.1502,
      0.2538,
      0.1899,
      0.2508,
      0.2398,
      0.1955,
      0.4223,
      0.1742,
      0.372,
      0.2946,
      0.3929,
      0.1873,
      0.2335,
      0.4656,
      0.1799,
      0.2941,
      0.0777,
      0.3178,
      0.1995,
      0.1105,
      0.4082,
      0.363,
      0.2262,
      0.2606,
      0.3376,
      0.3046,
      0.4386,
      0.3961,
      0.0927,
      0.2671,
      0.3984,
      0.2294,
      0.2685,
      0.0536,
      0.3687,
      0.2516,
      0.282,
      0.3346,
      0.3905,
      0.3789,
      0.2011,
      0.4545,
      0.2205,
      0.3493,
      0.3806,
      0.2376,
      0.2913,
      0.2307,
      0.3294,
      0.1522,
      0.2801,
      0.2515,
      0.3762,
      0.2967,
      0.3059,
      0.5166,
      0.388,
      0.2511,
      0.2536,
      0.272,
      0.0868,
      0.1324,
      0,
      0.2725,
      0.1952,
      0.3353,
      0.2486,
      0.3502,
      0.1634,
      0.3939,
      0.1589,
      0.1352,
      0.4086,
      0.2841,
      0.0998,
      0.316,
      0.1324,
      0.1995,
      0.1507,
      0.3237,
      0.4107,
      0.2472,
      0.3847,
      0.432,
      0.1586,
      0.257,
      0.496,
      0.2027,
      0.3238,
      0.1802,
      0.1459,
      0.2365,
      0.1836,
      0.138,
      0.2696,
      0.2055,
      0.2401,
      0.2862,
      0.0595,
      0.1857,
      0.4779,
      0.2656,
      0.1471,
      0.0338,
      0.2122,
      0.1878,
      0,
      0.1223,
      0.1637,
      0.0492,
      0,
      0,
      0,
      0,
      0,
      0.2776,
      0.2674,
      0.2588,
      0.2367,
      0.3393,
      0.2493,
      0.0553,
      0.3618,
      0.1608,
      0.0287,
      0.2579,
      0.4109,
      0.3594,
      0.2953,
      0.301,
      0.3528,
      0.2323,
      0.3293,
      0.0522,
      0.2622,
      0.0568,
      0.1782,
      0.1563,
      0.1118,
      0.2982,
      0.2928,
      0.2134,
      0.1772,
      0.2115,
      0.3258,
      0.167,
      0.3565,
      0.2254,
      0.1373,
      0.374,
      0.4746,
      0.1511,
      0.1977,
      0.1981,
      0.2176,
      0.2184,
      0.4136,
      0.2449,
      0.3309,
      0.2367,
      0.2504,
      0.1564,
      0.1966,
      0.0224,
      0.4777,
      0.3525,
      0.2315,
      0.2961,
      0.1218,
      0.1785,
      0.3219,
      0.1711,
      0.3257,
      0.1578,
      0.2648,
      0.4277,
      0.318,
      0,
      0.4101,
      0.3336,
      0,
      0.4781,
      0.1143,
      0.0753,
      0.2496,
      0.2877,
      0,
      0.1872,
      0.4287,
      0.3173,
      0.2582,
      0.2484,
      0.3306,
      0.2781,
      0.2328,
      0.5385,
      0.0849,
      0.2155,
      0.2634,
      0.106,
      0.2138,
      0,
      0.0465,
      0.2211,
      0.2374,
      0.1941,
      0.3262,
      0.2404,
      0.2112,
      0.4494,
      0.1366,
      0.1495,
      0.2159,
      0.203,
      0.4322,
      0.1407,
      0.2992,
      0.3255,
      0.2742,
      0.3259,
      0.1342,
      0.4641,
      0.0889,
      0.436,
      0.2866,
      0.0343,
      0.4075,
      0.2056,
      0.313,
      0.1862,
      0.3413,
      0.395,
      0.1445,
      0.4176,
      0.4434,
      0.4237,
      0.3811,
      0.3598,
      0.1706,
      0.2564,
      0.2975,
      0.2007,
      0.2766,
      0.2528,
      0.1428,
      0.2261,
      0.1566,
      0.3933,
      0.3328,
      0.3432,
      0.3,
      0.2819,
      0.3896,
      0.2501,
      0.5251,
      0.2278,
      0.4091,
      0.303,
      0.2235,
      0.2794,
      0.0619,
      0.1877,
      0.2918,
      0.2232,
      0.1579,
      0.3205,
      0.3458,
      0,
      0.5293,
      0.0297,
      0.0033,
      0.2325,
      0.1341,
      0.3106,
      0.1092,
      0.3839,
      0.1389,
      0.083,
      0.2614,
      0.2038,
      0.454,
      0,
      0.5034,
      0.3179,
      0.0882,
      0.2299,
      0.1293,
      0.2391,
      0.2654,
      0.1987,
      0.2792,
      0.1441,
      0.1658,
      0.394,
      0.4559,
      0.2052,
      0.4412,
      0.2212,
      0.0773,
      0.3633,
      0.0605,
      0.2755,
      0.2071,
      0.2863,
      0.1293,
      0.1508,
      0.3918,
      0.0552,
      0.4185,
      0.2701,
      0.4162,
      0.0793,
      0.114,
      0.5107,
      0.1934,
      0.2838,
      0.0335,
      0.3465,
      0.4029,
      0.1093,
      0.3884,
      0.4102,
      0.2988,
      0.2559,
      0.3378,
      0.2305,
      0.4767,
      0.541,
      0.0696,
      0.1906,
      0.3952,
      0.2032,
      0.3709,
      0.0805,
      0.4441,
      0.3383,
      0.3174,
      0.3444,
      0.3535,
      0.3554,
      0.2743,
      0.4558,
      0.1957,
      0.4036,
      0.3104,
      0.2556,
      0.2107,
      0.1418,
      0.2017,
      0.1996,
      0.2475,
      0.3782,
      0.3101,
      0.4026,
      0.2905,
      0.5198,
      0.3247,
      0.4549,
      0.2556,
      0.2233,
      0.1255,
      0.1373,
      0,
      0.3104,
      0.0604,
      0.303,
      0.2347,
      0.3894,
      0.2378,
      0.4567,
      0.1554,
      0.1927,
      0.3941,
      0.2316,
      0.101,
      0.2346,
      0.1691,
      0.2825,
      0.2516,
      0.2986,
      0.4639,
      0.298,
      0.3407,
      0.4359,
      0.2182,
      0.3233,
      0.5035,
      0.2947,
      0.3258,
      0.1544,
      0.241,
      0.2228,
      0.2099,
      0.1751,
      0.2521,
      0.1149,
      0.1946,
      0.3083,
      0.0045,
      0.1202,
      0.5375,
      0.1572,
      0.2037,
      0.0219,
      0.2372,
      0.2109,
      0.0113,
      0.1375,
      0.1563,
      0.0752,
      0,
      0,
      0,
      0,
      0,
      0.2693,
      0.2481,
      0.2163,
      0.2389,
      0.346,
      0.2234,
      0.1221,
      0.2426,
      0.1791,
      0.1165,
      0.149,
      0.3273,
      0.4095,
      0.2442,
      0.3181,
      0.3471,
      0.2203,
      0.3062,
      0.0431,
      0.2278,
      0.1133,
      0.2091,
      0.2217,
      0.1792,
      0.2868,
      0.1799,
      0.1626,
      0.1736,
      0.2276,
      0.19,
      0.1647,
      0.1905,
      0.2229,
      0.15,
      0.2301,
      0.5524,
      0.0671,
      0.2013,
      0.2115,
      0.1741,
      0.2505,
      0.2419,
      0.3213,
      0.3578,
      0.3135,
      0.3519,
      0.0749,
      0.1649,
      0.0376,
      0.5709,
      0.3639,
      0.2382,
      0.3479,
      0.1806,
      0.1251,
      0.3082,
      0.2382,
      0.3583,
      0.1807,
      0.2604,
      0.3578,
      0.3598,
      0,
      0.4878,
      0.2688,
      0,
      0.4838,
      0.0235,
      0.1138,
      0.1223,
      0.1849,
      0,
      0.2144,
      0.3916,
      0.3277,
      0.1924,
      0.3015,
      0.3371,
      0.257,
      0.1924,
      0.5807,
      0.1507,
      0.148,
      0.3122,
      0.0852,
      0.199,
      0,
      0.0975,
      0.2373,
      0.2424,
      0.1584,
      0.3166,
      0.2456,
      0.1231,
      0.5083,
      0.1267,
      0.2246,
      0.204,
      0.2601,
      0.3742,
      0.194,
      0.3537,
      0.3229,
      0.333,
      0.3295,
      0.1852,
      0.3865,
      0.165,
      0.4672,
      0.3273,
      0.0943,
      0.425,
      0.2099,
      0.3383,
      0.2272,
      0.3327,
      0.3401,
      0.1108,
      0.3521,
      0.3784,
      0.418,
      0.3961,
      0.4393,
      0.1609,
      0.3468,
      0.3266,
      0.2336,
      0.2589,
      0.1825,
      0.1313,
      0.2326,
      0.1597,
      0.3087,
      0.3162,
      0.3921,
      0.2851,
      0.342,
      0.2656,
      0.3331,
      0.5215,
      0.1582,
      0.2988,
      0.2174,
      0.1988,
      0.2691,
      0.1801,
      0.1507,
      0.3605,
      0.2507,
      0.137,
      0.3474,
      0.3004,
      0,
      0.5707,
      0.0267,
      0,
      0.1599,
      0.1387,
      0.2419,
      0.1679,
      0.3816,
      0,
      0.114,
      0.1964,
      0.2737,
      0.3987,
      0,
      0.5443,
      0.2384,
      0.1388,
      0.2624,
      0.1011,
      0.1567,
      0.1431,
      0.1439,
      0.2079,
      0.1219,
      0.074,
      0.2812,
      0.394,
      0.2281,
      0.4729,
      0.1252,
      0.047,
      0.4196,
      0.1165,
      0.1782,
      0.2482,
      0.2563,
      0.1563,
      0.1449,
      0.3004,
      0.0818,
      0.3951,
      0.2307,
      0.4066,
      0.1166,
      0.1567,
      0.5209,
      0.3034,
      0.2585,
      0.086,
      0.4102,
      0.3372,
      0.1213,
      0.295,
      0.4379,
      0.3527,
      0.3514,
      0.2938,
      0.2032,
      0.4121,
      0.573,
      0.1359,
      0.231,
      0.356,
      0.1637,
      0.3092,
      0.0625,
      0.4612,
      0.325,
      0.19,
      0.32,
      0.3864,
      0.2784,
      0.3624,
      0.5508,
      0.1672,
      0.3002,
      0.2022,
      0.1877,
      0.1846,
      0.2572,
      0.1126,
      0.165,
      0.3105,
      0.254,
      0.2484,
      0.4683,
      0.2445,
      0.5512,
      0.3263,
      0.4364,
      0.276,
      0.204,
      0.0942,
      0.0733,
      0,
      0.3417,
      0.193,
      0.2247,
      0.3197,
      0.4061,
      0.1314,
      0.5033,
      0.2092,
      0.2047,
      0.4294,
      0.1495,
      0.1311,
      0.2508,
      0.1753,
      0.1663,
      0.2229,
      0.2543,
      0.3908,
      0.3413,
      0.2608,
      0.4563,
      0.2344,
      0.1614,
      0.5187,
      0.3197,
      0.3187,
      0.1926,
      0.2219,
      0.2665,
      0.2151,
      0.1544,
      0.2853,
      0.1292,
      0.16,
      0.2935,
      0.0551,
      0.1062,
      0.5807,
      0.2447,
      0.2336,
      0,
      0.2458,
      0.2124,
      0.0346,
      0.1407,
      0.1142,
      0.0634,
      0,
      0,
      0,
      0,
      0,
      0.2692,
      0.2422,
      0.1893,
      0.2766,
      0.3608,
      0.1934,
      0.0531,
      0.1708,
      0.1681,
      0.1501,
      0.2445,
      0.2744,
      0.3509,
      0.2635,
      0.2362,
      0.3927,
      0.2285,
      0.2934,
      0.0699,
      0.1934,
      0.1181,
      0.3946,
      0.1695,
      0.1495,
      0.269,
      0.2234,
      0.2427,
      0.219,
      0.2516,
      0.2278,
      0.2119,
      0.1711,
      0.1433,
      0.1326,
      0.177,
      0.4109,
      0.0965,
      0.3674,
      0.2108,
      0.2799,
      0.2801,
      0.2484,
      0.3448,
      0.2449,
      0.2685,
      0.2564,
      0.209,
      0.145,
      0,
      0.5322,
      0.2721,
      0.2334,
      0.3531,
      0.354,
      0.1658,
      0.3349,
      0.2497,
      0.3809,
      0.0758,
      0.299,
      0.4247,
      0.3443,
      0,
      0.4976,
      0.2283,
      0,
      0.4883,
      0.0348,
      0.0808,
      0.181,
      0.1431,
      0,
      0.2006,
      0.4591,
      0.3536,
      0.2599,
      0.3073,
      0.3581,
      0.3113,
      0.2597,
      0.5532,
      0.1703,
      0.1911,
      0.321,
      0.1334,
      0.1998,
      0,
      0.1111,
      0.2814,
      0.2586,
      0.2079,
      0.3089,
      0.2792,
      0.1367,
      0.5004,
      0.2149,
      0.2128,
      0.2482,
      0.2235,
      0.345,
      0.2854,
      0.3267,
      0.3004,
      0.2772,
      0.3256,
      0.1314,
      0.4621,
      0.2153,
      0.4776,
      0.2411,
      0.106,
      0.3651,
      0.2,
      0.326,
      0.219,
      0.3931,
      0.3926,
      0.1035,
      0.334,
      0.4478,
      0.4238,
      0.2777,
      0.4392,
      0.1015,
      0.3705,
      0.3576,
      0.274,
      0.2576,
      0.2352,
      0.111,
      0.2496,
      0.1407,
      0.3889,
      0.266,
      0.319,
      0.1856,
      0.3614,
      0.2117,
      0.4316,
      0.507,
      0.2207,
      0.3184,
      0.2756,
      0.2096,
      0.3051,
      0.1452,
      0.1363,
      0.3044,
      0.2505,
      0.1794,
      0.3356,
      0.306,
      0,
      0.5393,
      0.0852,
      0,
      0.1934,
      0.2003,
      0.3062,
      0.1235,
      0.3783,
      0,
      0.0838,
      0.1858,
      0.3283,
      0.4581,
      0,
      0.5649,
      0.3153,
      0.1362,
      0.1868,
      0.1434,
      0.2703,
      0.1952,
      0.16,
      0.1504,
      0.0887,
      0.1734,
      0.3948,
      0.4652,
      0.1734,
      0.4897,
      0.1229,
      0.0835,
      0.3968,
      0.1559,
      0.299,
      0.2692,
      0.1721,
      0.1269,
      0.1563,
      0.3825,
      0.0981,
      0.4005,
      0.3184,
      0.461,
      0.1391,
      0.1146,
      0.4854,
      0.2566,
      0.2969,
      0.1217,
      0.3674,
      0.3288,
      0.1386,
      0.3621,
      0.4236,
      0.3105,
      0.2701,
      0.3872,
      0.258,
      0.3264,
      0.4627,
      0.1533,
      0.1927,
      0.3733,
      0.1661,
      0.3206,
      0,
      0.4223,
      0.3312,
      0.253,
      0.2727,
      0.3797,
      0.2908,
      0.4067,
      0.5168,
      0.269,
      0.3275,
      0.2816,
      0.2194,
      0.2728,
      0.2212,
      0.1172,
      0.1621,
      0.2723,
      0.1232,
      0.2957,
      0.3401,
      0.2101,
      0.5708,
      0.2829,
      0.3737,
      0.3034,
      0.2136,
      0.1358,
      0.1051,
      0,
      0.2749,
      0.1855,
      0.2271,
      0.2748,
      0.3894,
      0.2888,
      0.4815,
      0.2641,
      0.2186,
      0.4001,
      0.2049,
      0.1313,
      0.2294,
      0.23,
      0.2322,
      0.2682,
      0.3021,
      0.4297,
      0.2991,
      0.3956,
      0.503,
      0.2033,
      0.2629,
      0.4701,
      0.3188,
      0.3849,
      0.2242,
      0.195,
      0.2936,
      0.1767,
      0.1709,
      0.2827,
      0.315,
      0.1943,
      0.3699,
      0.1618,
      0.1235,
      0.4935,
      0.1619,
      0.1685,
      0,
      0.2363,
      0.1977,
      0,
      0.123,
      0.1583,
      0.0709,
      0,
      0,
      0,
      0,
      0,
      0.2544,
      0.1938,
      0.2218,
      0.1969,
      0.2999,
      0.2034,
      0,
      0.1773,
      0.0686,
      0.1251,
      0.2609,
      0.2821,
      0.2551,
      0.3523,
      0.2073,
      0.3974,
      0.138,
      0.3229,
      0.0833,
      0.2345,
      0.1441,
      0.2547,
      0.1643,
      0.1848,
      0.3039,
      0.1352,
      0.2266,
      0.1739,
      0.1728,
      0.2208,
      0.2358,
      0.145,
      0.3026,
      0.1402,
      0.2143,
      0.5167,
      0.07,
      0.3716,
      0.3254,
      0.4579,
      0.3062,
      0.1412,
      0.2398,
      0.2959,
      0.3507,
      0.299,
      0.151,
      0.2048,
      0,
      0.3771,
      0.2695,
      0.2793,
      0.3909,
      0.4199,
      0.2539,
      0.3573,
      0.2893,
      0.3558,
      0.1111,
      0.3463,
      0.4265,
      0.4141,
      0,
      0.3869,
      0.1735,
      0,
      0.505,
      0,
      0.0215,
      0.1379,
      0.2222,
      0,
      0.2427,
      0.4836,
      0.2415,
      0.2982,
      0.3216,
      0.2881,
      0.3203,
      0.363,
      0.4726,
      0.2189,
      0.1832,
      0.2571,
      0.133,
      0.1969,
      0,
      0.1333,
      0.2117,
      0.2867,
      0.2566,
      0.2762,
      0.2309,
      0.2158,
      0.4619,
      0.105,
      0.1604,
      0.2618,
      0.3019,
      0.3715,
      0.2021,
      0.3995,
      0.3223,
      0.2135,
      0.2604,
      0.1813,
      0.4614,
      0.1629,
      0.4465,
      0.2228,
      0.1212,
      0.3849,
      0.1365,
      0.3676,
      0.2406,
      0.3491,
      0.29,
      0.1664,
      0.3692,
      0.4394,
      0.4286,
      0.236,
      0.2882,
      0.1817,
      0.2713,
      0.3618,
      0.2246,
      0.2542,
      0.2781,
      0.1845,
      0.3195,
      0.3657,
      0.3727,
      0.3011,
      0.3899,
      0.1679,
      0.3307,
      0.2851,
      0.4256,
      0.468,
      0.2094,
      0.2461,
      0.3385,
      0.2422,
      0.3571,
      0.0437,
      0.0988,
      0.3819,
      0.2878,
      0.1483,
      0.2988,
      0.3175,
      0,
      0.5079,
      0.0164,
      0,
      0.1481,
      0.2031,
      0.3612,
      0.1239,
      0.4155,
      0,
      0.1824,
      0.2552,
      0.2441,
      0.4942,
      0.0561,
      0.4759,
      0.2682,
      0.1866,
      0.2755,
      0.1668,
      0.3518,
      0.2986,
      0.1798,
      0.2208,
      0.1115,
      0.221,
      0.3799,
      0.4855,
      0.2248,
      0.47,
      0.2397,
      0.1583,
      0.4121,
      0.143,
      0.3613,
      0.1651,
      0.2436,
      0.1364,
      0.1873,
      0.3929,
      0.1222,
      0.4393,
      0.3711,
      0.4149,
      0.1472,
      0.2925,
      0.4709,
      0.2328,
      0.2227,
      0.0467,
      0.4116,
      0.3393,
      0.1029,
      0.3178,
      0.45,
      0.3926,
      0.2493,
      0.3331,
      0.2132,
      0.3362,
      0.4746,
      0.1191,
      0.2569,
      0.3381,
      0.2369,
      0.2925,
      0.0336,
      0.4877,
      0.3952,
      0.3024,
      0.2935,
      0.3333,
      0.3726,
      0.4413,
      0.4203,
      0.3229,
      0.1989,
      0.3539,
      0.219,
      0.1921,
      0.323,
      0.1217,
      0.2827,
      0.2619,
      0.188,
      0.3747,
      0.2295,
      0.26,
      0.481,
      0.3103,
      0.3519,
      0.267,
      0.1481,
      0.1716,
      0.0223,
      0,
      0.2823,
      0.1617,
      0.17,
      0.1652,
      0.4244,
      0.2701,
      0.4577,
      0.2483,
      0.1479,
      0.3739,
      0.1719,
      0.2234,
      0.2004,
      0.1722,
      0.1677,
      0.2714,
      0.3612,
      0.4427,
      0.3643,
      0.3116,
      0.4492,
      0.0668,
      0.234,
      0.4811,
      0.2066,
      0.2294,
      0.21,
      0.1817,
      0.2877,
      0.2215,
      0.1693,
      0.2856,
      0.2863,
      0.2158,
      0.3361,
      0.2299,
      0.1487,
      0.4773,
      0.253,
      0.2042,
      0,
      0.258,
      0.209,
      0.0781,
      0.1104,
      0.2435,
      0.1071,
      0,
      0,
      0,
      0,
      0,
      0.2809,
      0.2846,
      0.2364,
      0.2369,
      0.2076,
      0.2576,
      0.0753,
      0.1252,
      0.1444,
      0.0883,
      0.2897,
      0.2135,
      0.3035,
      0.3658,
      0.191,
      0.3162,
      0.1683,
      0.2892,
      0.0987,
      0.1458,
      0.197,
      0.3536,
      0.21,
      0.2271,
      0.1474,
      0.1445,
      0.2703,
      0.2022,
      0.1989,
      0.2271,
      0.2986,
      0.2326,
      0.2866,
      0.1751,
      0.23,
      0.4613,
      0.1355,
      0.381,
      0.4126,
      0.3208,
      0.2724,
      0.3508,
      0.1946,
      0.3094,
      0.4001,
      0.3448,
      0.1743,
      0.2608,
      0.0337,
      0.4113,
      0.2805,
      0.3366,
      0.4609,
      0.255,
      0.2502,
      0.4062,
      0.1694,
      0.3263,
      0.1595,
      0.434,
      0.3883,
      0.4505,
      0.0552,
      0.4356,
      0.3097,
      0,
      0.5344,
      0.2479,
      0,
      0.3434,
      0.3985,
      0.0442,
      0.1618,
      0.4458,
      0.2724,
      0.3914,
      0.3941,
      0.4009,
      0.257,
      0.4242,
      0.4717,
      0.2364,
      0.1826,
      0.3118,
      0.0841,
      0.3673,
      0,
      0.0358,
      0.3053,
      0.2986,
      0.232,
      0.3192,
      0.2104,
      0.3261,
      0.4812,
      0.3506,
      0.3443,
      0.2926,
      0.3612,
      0.341,
      0.3552,
      0.4132,
      0.3099,
      0.2126,
      0.3717,
      0.1928,
      0.432,
      0.1702,
      0.448,
      0.2301,
      0.1466,
      0.4572,
      0.1526,
      0.4296,
      0.1918,
      0.3799,
      0.1906,
      0.1257,
      0.4647,
      0.4302,
      0.4711,
      0.2034,
      0.4095,
      0.1868,
      0.2434,
      0.3998,
      0.2532,
      0.2701,
      0.4359,
      0.2471,
      0.234,
      0.3201,
      0.361,
      0.3257,
      0.4482,
      0.2743,
      0.3634,
      0.2841,
      0.3424,
      0.5067,
      0.3145,
      0.3221,
      0.263,
      0.1977,
      0.2799,
      0.2865,
      0.1215,
      0.4096,
      0.3315,
      0.3398,
      0.4238,
      0.4464,
      0,
      0.5187,
      0.0567,
      0,
      0.1893,
      0.2208,
      0.4378,
      0.1342,
      0.4528,
      0,
      0.2736,
      0.2491,
      0.3198,
      0.4585,
      0.0147,
      0.4638,
      0.1848,
      0.209,
      0.4385,
      0,
      0.3732,
      0.3258,
      0.1601,
      0.3737,
      0.1132,
      0.3554,
      0.3916,
      0.4624,
      0.205,
      0.426,
      0.2602,
      0.3068,
      0.5107,
      0.0869,
      0.3891,
      0.2651,
      0.2659,
      0.1652,
      0.2614,
      0.3923,
      0.1683,
      0.4568,
      0.3214,
      0.4278,
      0.3151,
      0.3205,
      0.4949,
      0.2813,
      0.3537,
      0.1287,
      0.4124,
      0.2658,
      0.1337,
      0.4064,
      0.4525,
      0.4353,
      0.2164,
      0.3424,
      0.312,
      0.3393,
      0.4592,
      0.1218,
      0.2112,
      0.2666,
      0.1605,
      0.4097,
      0.0997,
      0.4392,
      0.3157,
      0.3041,
      0.3257,
      0.3219,
      0.2294,
      0.2706,
      0.4478,
      0.3536,
      0.2532,
      0.2733,
      0.2404,
      0.2311,
      0.3302,
      0.1258,
      0.3679,
      0.289,
      0.3046,
      0.255,
      0.5185,
      0.3039,
      0.5041,
      0.3136,
      0.3571,
      0.2976,
      0.3213,
      0.1495,
      0.269,
      0.064,
      0.3865,
      0.1884,
      0.3711,
      0.1514,
      0.448,
      0.2989,
      0.4759,
      0.1803,
      0.1608,
      0.4609,
      0.2206,
      0.1577,
      0.2562,
      0.1719,
      0.2291,
      0.291,
      0.4469,
      0.4483,
      0.4092,
      0.3161,
      0.4597,
      0.2456,
      0.1665,
      0.5424,
      0.2627,
      0.2438,
      0.1979,
      0.2422,
      0.3178,
      0.2081,
      0.2452,
      0.2273,
      0.2382,
      0.2055,
      0.3613,
      0.0835,
      0.1018,
      0.4291,
      0.1227,
      0.2432,
      0.0545,
      0.1073,
      0.2972,
      0.1423,
      0.0823,
      0.2633,
      0.1044,
      0,
      0,
      0,
      0,
      0,
      0.2582,
      0.2782,
      0.2645,
      0.2608,
      0.2541,
      0.2662,
      0.0725,
      0.2263,
      0.2153,
      0.1479,
      0.3692,
      0.2987,
      0.291,
      0.3,
      0.196,
      0.3466,
      0.1957,
      0.2688,
      0.0065,
      0.1285,
      0.1606,
      0.3168,
      0.2778,
      0.2022,
      0.1932,
      0.2565,
      0.3064,
      0.1994,
      0.1955,
      0.3597,
      0.2887,
      0.1635,
      0.2487,
      0.1693,
      0.2265,
      0.438,
      0.1469,
      0.3403,
      0.3134,
      0.2789,
      0.2603,
      0.3447,
      0.2263,
      0.3199,
      0.3952,
      0.2034,
      0.1452,
      0.2756,
      0,
      0.3916,
      0.2606,
      0.25,
      0.4392,
      0.2326,
      0.3897,
      0.3272,
      0.2253,
      0.3028,
      0.1082,
      0.5085,
      0.4145,
      0.4671,
      0.0352,
      0.4041,
      0.3546,
      0,
      0.5574,
      0.2258,
      0.2693,
      0.3676,
      0.3139,
      0.047,
      0.2303,
      0.5268,
      0.2484,
      0.4732,
      0.431,
      0.2984,
      0.3955,
      0.4004,
      0.4903,
      0.2961,
      0.1399,
      0.2651,
      0.0919,
      0.4404,
      0,
      0.0067,
      0.1805,
      0.2537,
      0.2287,
      0.2739,
      0.2328,
      0.2324,
      0.3959,
      0.1976,
      0.1997,
      0.3088,
      0.2279,
      0.3617,
      0.3471,
      0.3786,
      0.313,
      0.2307,
      0.4486,
      0.1725,
      0.5332,
      0.1395,
      0.4565,
      0.2757,
      0.1185,
      0.4452,
      0.2793,
      0.4582,
      0.2388,
      0.2784,
      0.2627,
      0.1472,
      0.5064,
      0.4575,
      0.4939,
      0.3201,
      0.3924,
      0.1701,
      0.2268,
      0.3872,
      0.2413,
      0.1546,
      0.2397,
      0.229,
      0.3307,
      0.1492,
      0.3324,
      0.3493,
      0.4427,
      0.2506,
      0.3265,
      0.3483,
      0.3708,
      0.4905,
      0.2382,
      0.3167,
      0.2462,
      0.1669,
      0.2896,
      0.332,
      0.0465,
      0.404,
      0.2826,
      0.2724,
      0.374,
      0.5119,
      0,
      0.5159,
      0.0731,
      0,
      0.2262,
      0.1739,
      0.5251,
      0.2222,
      0.4735,
      0,
      0.2356,
      0.2555,
      0.2455,
      0.5294,
      0.0128,
      0.4345,
      0.1421,
      0.2089,
      0.4028,
      0.1246,
      0.482,
      0.2595,
      0.3124,
      0.2688,
      0.1651,
      0.4244,
      0.3761,
      0.5304,
      0.2629,
      0.4466,
      0.238,
      0.1601,
      0.5307,
      0.2055,
      0.4902,
      0.2246,
      0.3163,
      0.1467,
      0.2342,
      0.3752,
      0.1888,
      0.4686,
      0.2927,
      0.4319,
      0.0865,
      0.2383,
      0.4687,
      0.1459,
      0.4013,
      0.0624,
      0.4091,
      0.2353,
      0.103,
      0.5002,
      0.4599,
      0.4063,
      0.2555,
      0.2288,
      0.3895,
      0.2805,
      0.5146,
      0.055,
      0.2629,
      0.2947,
      0.169,
      0.461,
      0.0487,
      0.4203,
      0.3257,
      0.3387,
      0.2758,
      0.2932,
      0.2928,
      0.2286,
      0.4149,
      0.2559,
      0.23,
      0.1932,
      0.2063,
      0.2246,
      0.3336,
      0.1335,
      0.367,
      0.3041,
      0.2953,
      0.3791,
      0.4518,
      0.2787,
      0.4386,
      0.3198,
      0.3659,
      0.3439,
      0.1662,
      0.1905,
      0.2204,
      0.0218,
      0.3026,
      0.2362,
      0.4476,
      0.2168,
      0.4622,
      0.2354,
      0.4198,
      0.3407,
      0.1955,
      0.5372,
      0.2664,
      0.3501,
      0.2411,
      0.2281,
      0.3117,
      0.2146,
      0.5186,
      0.4539,
      0.3553,
      0.3106,
      0.3988,
      0.2624,
      0.1566,
      0.5085,
      0.2657,
      0.1824,
      0.2578,
      0.138,
      0.2402,
      0.1201,
      0.2115,
      0.1754,
      0.1792,
      0.2313,
      0.3572,
      0.1238,
      0.1967,
      0.4302,
      0.2412,
      0.1041,
      0.0772,
      0.2066,
      0.2162,
      0.0903,
      0.0634,
      0.2215,
      0.1146,
      0,
      0,
      0,
      0,
      0,
      0.1959,
      0.3559,
      0.286,
      0.1948,
      0.2048,
      0.2599,
      0.0551,
      0.2353,
      0.1721,
      0.1653,
      0.3566,
      0.3624,
      0.2742,
      0.2725,
      0.2029,
      0.2658,
      0.127,
      0.3124,
      0.0736,
      0.1814,
      0.1483,
      0.3841,
      0.345,
      0.257,
      0.2233,
      0.2563,
      0.316,
      0.1948,
      0.148,
      0.3915,
      0.2163,
      0.2542,
      0.308,
      0.1911,
      0.3064,
      0.4873,
      0.1478,
      0.2324,
      0.3554,
      0.2756,
      0.3335,
      0.232,
      0.2689,
      0.3493,
      0.261,
      0.182,
      0.1689,
      0.2584,
      0,
      0.404,
      0.3016,
      0.1611,
      0.3215,
      0.1948,
      0.4323,
      0.3529,
      0.2663,
      0.4371,
      0.1962,
      0.5039,
      0.4046,
      0.476,
      0.0112,
      0.4445,
      0.3604,
      0,
      0.5892,
      0,
      0.2907,
      0.3919,
      0.3453,
      0.0513,
      0.2426,
      0.5099,
      0.2956,
      0.3484,
      0.318,
      0.294,
      0.3708,
      0.3623,
      0.5507,
      0.3776,
      0.2805,
      0.2759,
      0.2219,
      0.4227,
      0,
      0.1263,
      0.2309,
      0.2437,
      0.23,
      0.3067,
      0.2698,
      0.1251,
      0.4506,
      0.1272,
      0.2136,
      0.3132,
      0.2267,
      0.3655,
      0.1858,
      0.4158,
      0.2571,
      0.2844,
      0.437,
      0.0865,
      0.5178,
      0.1865,
      0.4644,
      0.1938,
      0.1112,
      0.4635,
      0.2677,
      0.481,
      0.2259,
      0.3503,
      0.2817,
      0.067,
      0.5019,
      0.3987,
      0.4695,
      0.2622,
      0.3915,
      0.1712,
      0.2358,
      0.4209,
      0.169,
      0.2948,
      0.188,
      0.2481,
      0.4073,
      0.2011,
      0.3371,
      0.2832,
      0.4251,
      0.3351,
      0.2489,
      0.3198,
      0.3372,
      0.5106,
      0.2681,
      0.2625,
      0.2678,
      0.2363,
      0.2299,
      0.2266,
      0.1674,
      0.4156,
      0.3618,
      0.1235,
      0.4618,
      0.4922,
      0,
      0.5409,
      0.1894,
      0,
      0.3391,
      0.2001,
      0.5239,
      0.1814,
      0.4431,
      0,
      0.1675,
      0.235,
      0.1805,
      0.544,
      0.0265,
      0.4336,
      0.0969,
      0.2705,
      0.2409,
      0.0756,
      0.4978,
      0.2925,
      0.3433,
      0.359,
      0.4317,
      0.4144,
      0.3527,
      0.5432,
      0.2628,
      0.4437,
      0.2944,
      0.0961,
      0.5153,
      0.2533,
      0.5023,
      0.259,
      0.3488,
      0.1876,
      0.2879,
      0.3341,
      0.0631,
      0.4393,
      0.2959,
      0.3986,
      0.1479,
      0.2549,
      0.4943,
      0.1534,
      0.4295,
      0.0978,
      0.3169,
      0.2594,
      0.1046,
      0.5065,
      0.4608,
      0.4151,
      0.2162,
      0.2991,
      0.3843,
      0.3261,
      0.542,
      0.109,
      0.2922,
      0.352,
      0.2202,
      0.459,
      0.0505,
      0.4829,
      0.3405,
      0.3286,
      0.307,
      0.2759,
      0.3108,
      0.313,
      0.468,
      0.2783,
      0.2948,
      0.1364,
      0.2058,
      0.2939,
      0.2456,
      0.2118,
      0.2265,
      0.286,
      0.1943,
      0.3314,
      0.3424,
      0.2646,
      0.4763,
      0.2343,
      0.2963,
      0.3448,
      0.2068,
      0.1439,
      0.091,
      0,
      0.1892,
      0.2157,
      0.4346,
      0.2064,
      0.4931,
      0.2355,
      0.4321,
      0.2813,
      0.2213,
      0.5354,
      0.3106,
      0.3834,
      0.2167,
      0.1302,
      0.2941,
      0.2346,
      0.5232,
      0.3956,
      0.4194,
      0.3815,
      0.4417,
      0.2107,
      0.1971,
      0.5109,
      0.3184,
      0.2331,
      0.2169,
      0.2222,
      0.2287,
      0.2188,
      0.2049,
      0.2688,
      0.1423,
      0.1436,
      0.3702,
      0.0628,
      0.1342,
      0.4808,
      0.1894,
      0.1745,
      0.0774,
      0.2375,
      0.1773,
      0.098,
      0.1336,
      0.2193,
      0.0705,
      0,
      0,
      0,
      0,
      0,
      0.2157,
      0.2584,
      0.238,
      0.2397,
      0.1018,
      0.1633,
      0,
      0.1881,
      0.1626,
      0.1811,
      0.2507,
      0.3724,
      0.353,
      0.2191,
      0.1897,
      0.2645,
      0.1803,
      0.276,
      0.0939,
      0.1785,
      0.1586,
      0.263,
      0.2933,
      0.2403,
      0.1986,
      0.2912,
      0.2,
      0.2377,
      0.1986,
      0.3462,
      0.2563,
      0.3664,
      0.2595,
      0.198,
      0.4092,
      0.562,
      0.045,
      0.2181,
      0.2296,
      0.2713,
      0.2982,
      0.3886,
      0.1309,
      0.3881,
      0.3555,
      0.1627,
      0.1934,
      0.2117,
      0,
      0.5221,
      0.369,
      0.1883,
      0.4228,
      0.1588,
      0.3855,
      0.3123,
      0.2633,
      0.4344,
      0.1589,
      0.46,
      0.4625,
      0.5056,
      0,
      0.386,
      0.3707,
      0,
      0.5211,
      0,
      0.2112,
      0.4726,
      0.3656,
      0.1238,
      0.2707,
      0.5773,
      0.3385,
      0.3064,
      0.2442,
      0.3636,
      0.3197,
      0.2697,
      0.476,
      0.3573,
      0.4124,
      0.4195,
      0.1534,
      0.3988,
      0.0832,
      0.0814,
      0.2863,
      0.2074,
      0.2278,
      0.3666,
      0.2398,
      0.2029,
      0.5153,
      0.1598,
      0.2603,
      0.2201,
      0.2604,
      0.3395,
      0.2104,
      0.3903,
      0.391,
      0.2244,
      0.3613,
      0.1406,
      0.5184,
      0.211,
      0.4285,
      0.225,
      0.0796,
      0.4441,
      0.1971,
      0.4364,
      0.2944,
      0.338,
      0.2195,
      0.1347,
      0.492,
      0.4371,
      0.5034,
      0.2472,
      0.3307,
      0.1615,
      0.2369,
      0.2166,
      0.2374,
      0.3552,
      0.3335,
      0.2435,
      0.31,
      0.2194,
      0.3937,
      0.31,
      0.4206,
      0.3485,
      0.2554,
      0.2704,
      0.3085,
      0.4563,
      0.276,
      0.3253,
      0.3541,
      0.2424,
      0.3046,
      0.167,
      0.2888,
      0.3979,
      0.2554,
      0.2195,
      0.4033,
      0.4999,
      0.0529,
      0.501,
      0.4075,
      0.0593,
      0.3679,
      0.1922,
      0.4852,
      0.0762,
      0.4716,
      0.0638,
      0.1281,
      0.2555,
      0.2551,
      0.4729,
      0,
      0.5257,
      0.2375,
      0.2936,
      0.3001,
      0.2504,
      0.4562,
      0.1595,
      0.3079,
      0.2593,
      0.4178,
      0.3927,
      0.396,
      0.5095,
      0.356,
      0.4944,
      0.361,
      0.0591,
      0.4771,
      0.4594,
      0.462,
      0.2546,
      0.2562,
      0.2654,
      0.275,
      0.3832,
      0.1173,
      0.4707,
      0.26,
      0.3185,
      0.13,
      0.1668,
      0.483,
      0.1615,
      0.368,
      0.0544,
      0.3437,
      0.2822,
      0.1448,
      0.4579,
      0.472,
      0.3856,
      0.2789,
      0.2106,
      0.334,
      0.3334,
      0.5355,
      0.1351,
      0.2172,
      0.3028,
      0.1807,
      0.4075,
      0.0724,
      0.4846,
      0.2854,
      0.3049,
      0.3864,
      0.3719,
      0.2579,
      0.2993,
      0.4604,
      0.1963,
      0.3273,
      0.3217,
      0.2228,
      0.3122,
      0.1863,
      0.2889,
      0.2144,
      0.2736,
      0.3802,
      0.2345,
      0.238,
      0.2378,
      0.4962,
      0.2124,
      0.2697,
      0.3622,
      0.1986,
      0.1617,
      0.0932,
      0,
      0.1703,
      0.2476,
      0.4021,
      0.2691,
      0.4781,
      0.3002,
      0.4269,
      0.3062,
      0.2132,
      0.4126,
      0.2594,
      0.3067,
      0.2464,
      0.1923,
      0.3244,
      0.2283,
      0.4936,
      0.4616,
      0.3878,
      0.3988,
      0.4246,
      0.1948,
      0.2304,
      0.5138,
      0.2272,
      0.3271,
      0.1687,
      0.1379,
      0.181,
      0.166,
      0.2274,
      0.3254,
      0.148,
      0.1514,
      0.267,
      0.1292,
      0.0478,
      0.5371,
      0.2322,
      0.1924,
      0.1455,
      0.213,
      0.1351,
      0.0826,
      0.1811,
      0.1235,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2106,
      0.1868,
      0.2535,
      0.1989,
      0.193,
      0.2198,
      0.1336,
      0.3209,
      0.1771,
      0.0649,
      0.2325,
      0.3424,
      0.2779,
      0.2002,
      0.2155,
      0.2479,
      0.1864,
      0.2886,
      0.043,
      0.1646,
      0.1246,
      0.1547,
      0.1618,
      0.2131,
      0.2275,
      0.1912,
      0.1483,
      0.1777,
      0.2388,
      0.3199,
      0.1858,
      0.3229,
      0.2981,
      0.1415,
      0.4081,
      0.4439,
      0.1265,
      0.2522,
      0.2797,
      0.2483,
      0.2968,
      0.424,
      0.2435,
      0.2991,
      0.2355,
      0.2279,
      0.1472,
      0.2097,
      0,
      0.4009,
      0.3365,
      0.289,
      0.4018,
      0.139,
      0.3451,
      0.4003,
      0.3282,
      0.3774,
      0.1961,
      0.4753,
      0.4719,
      0.4557,
      0,
      0.39,
      0.3615,
      0,
      0.5331,
      0,
      0.1864,
      0.3732,
      0.2354,
      0.0498,
      0.3045,
      0.5296,
      0.2366,
      0.3349,
      0.3222,
      0.3904,
      0.3193,
      0.28,
      0.5384,
      0.2178,
      0.199,
      0.2849,
      0.1168,
      0.3992,
      0.0203,
      0.1001,
      0.2228,
      0.228,
      0.25,
      0.3588,
      0.2357,
      0.1899,
      0.3665,
      0.1959,
      0.2477,
      0.3516,
      0.2925,
      0.3565,
      0.1437,
      0.4111,
      0.2517,
      0.225,
      0.3783,
      0.0914,
      0.5351,
      0.2375,
      0.4168,
      0.3169,
      0.0878,
      0.4637,
      0.1989,
      0.4167,
      0.2439,
      0.4168,
      0.2687,
      0.0993,
      0.4998,
      0.4725,
      0.5113,
      0.3173,
      0.3195,
      0.2723,
      0.2886,
      0.4368,
      0.1992,
      0.1903,
      0.2568,
      0.2131,
      0.2244,
      0.2189,
      0.3777,
      0.3012,
      0.4229,
      0.3745,
      0.2846,
      0.2645,
      0.316,
      0.5001,
      0.2368,
      0.3834,
      0.3217,
      0.2419,
      0.2617,
      0.1675,
      0.1954,
      0.412,
      0.3145,
      0.1183,
      0.3107,
      0.506,
      0.0692,
      0.5479,
      0.1267,
      0,
      0.357,
      0.1298,
      0.4833,
      0.1928,
      0.4806,
      0.0886,
      0.1698,
      0.27,
      0.2313,
      0.4744,
      0,
      0.4797,
      0.2237,
      0.1656,
      0.31,
      0.2228,
      0.4339,
      0.1899,
      0.2662,
      0.3222,
      0.1573,
      0.3915,
      0.3999,
      0.4735,
      0.2478,
      0.4096,
      0.2884,
      0.1606,
      0.533,
      0.2241,
      0.4483,
      0.1765,
      0.3,
      0.2017,
      0.2502,
      0.4019,
      0.1098,
      0.4984,
      0.2386,
      0.3161,
      0.2165,
      0.1871,
      0.5024,
      0.266,
      0.3622,
      0.0832,
      0.352,
      0.2961,
      0.1445,
      0.4721,
      0.489,
      0.4067,
      0.2694,
      0.28,
      0.3297,
      0.3927,
      0.5198,
      0.1184,
      0.2035,
      0.2805,
      0.229,
      0.4144,
      0.0113,
      0.5045,
      0.2667,
      0.3276,
      0.3079,
      0.2893,
      0.2002,
      0.3079,
      0.4334,
      0.1606,
      0.3266,
      0.3095,
      0.192,
      0.1969,
      0.2239,
      0.2382,
      0.1942,
      0.3019,
      0.3667,
      0.2616,
      0.2496,
      0.2961,
      0.4623,
      0.2776,
      0.3512,
      0.3635,
      0.1399,
      0.1952,
      0.174,
      0,
      0.2509,
      0.2611,
      0.4075,
      0.2483,
      0.4742,
      0.2906,
      0.4119,
      0.2925,
      0.1949,
      0.5208,
      0.2534,
      0.3043,
      0.3227,
      0.1376,
      0.3851,
      0.2766,
      0.4835,
      0.4846,
      0.3967,
      0.3904,
      0.3715,
      0.1927,
      0.2943,
      0.5109,
      0.201,
      0.3058,
      0.1985,
      0.1536,
      0.2293,
      0.133,
      0.2505,
      0.205,
      0.2389,
      0.1857,
      0.3624,
      0.0768,
      0.1269,
      0.4627,
      0.2293,
      0.2178,
      0.127,
      0.2494,
      0.1921,
      0.1013,
      0.1346,
      0.1272,
      0.0572,
      0,
      0,
      0,
      0,
      0,
      0.2109,
      0.2876,
      0.2939,
      0.287,
      0.2641,
      0.1792,
      0.0658,
      0.1855,
      0.0983,
      0.1668,
      0.2468,
      0.3297,
      0.3224,
      0.2098,
      0.2638,
      0.338,
      0.1361,
      0.2342,
      0.0835,
      0.1619,
      0.1895,
      0.2818,
      0.1768,
      0.1982,
      0.2315,
      0.1678,
      0.1724,
      0.1263,
      0.2194,
      0.2423,
      0.2571,
      0.273,
      0.308,
      0.1727,
      0.3689,
      0.4764,
      0.1177,
      0.2205,
      0.3035,
      0.3804,
      0.2834,
      0.3033,
      0.3125,
      0.3193,
      0.3298,
      0.3082,
      0.1503,
      0.1529,
      0,
      0.4727,
      0.3065,
      0.338,
      0.4218,
      0.3809,
      0.246,
      0.3997,
      0.3539,
      0.3656,
      0.1691,
      0.2834,
      0.5117,
      0.3673,
      0,
      0.3998,
      0.2526,
      0,
      0.4928,
      0,
      0.0877,
      0.344,
      0.2173,
      0.0286,
      0.1702,
      0.5131,
      0.2493,
      0.303,
      0.2776,
      0.3327,
      0.3352,
      0.3202,
      0.4436,
      0.2034,
      0.1388,
      0.3243,
      0.0797,
      0.2916,
      0,
      0.0946,
      0.3328,
      0.2505,
      0.1726,
      0.3108,
      0.2307,
      0.1841,
      0.4672,
      0.2378,
      0.2808,
      0.3608,
      0.2905,
      0.3495,
      0.2385,
      0.3652,
      0.2538,
      0.2261,
      0.3382,
      0.1044,
      0.511,
      0.254,
      0.3913,
      0.218,
      0.0757,
      0.4464,
      0.1574,
      0.4099,
      0.2213,
      0.3953,
      0.2952,
      0.1518,
      0.3558,
      0.4947,
      0.4707,
      0.3086,
      0.3346,
      0.2023,
      0.2805,
      0.4348,
      0.1259,
      0.3186,
      0.206,
      0.2349,
      0.2639,
      0.2303,
      0.4759,
      0.2958,
      0.3691,
      0.2564,
      0.3292,
      0.2809,
      0.4076,
      0.5009,
      0.2565,
      0.3591,
      0.2816,
      0.186,
      0.307,
      0.1467,
      0.1564,
      0.3606,
      0.2803,
      0.2137,
      0.3702,
      0.4722,
      0,
      0.5054,
      0.0445,
      0,
      0.155,
      0.1302,
      0.3137,
      0.1382,
      0.4205,
      0,
      0.1925,
      0.2069,
      0.2179,
      0.4889,
      0,
      0.4081,
      0.2106,
      0.0826,
      0.3607,
      0.0967,
      0.2887,
      0.2434,
      0.1969,
      0.2937,
      0.1074,
      0.265,
      0.4685,
      0.5044,
      0.2132,
      0.4174,
      0.228,
      0.199,
      0.4683,
      0.1561,
      0.2958,
      0.2357,
      0.2929,
      0.1437,
      0.1841,
      0.4799,
      0.0931,
      0.4592,
      0.3359,
      0.354,
      0.3331,
      0.2694,
      0.4543,
      0.2394,
      0.2951,
      0.045,
      0.4246,
      0.2651,
      0.1354,
      0.3049,
      0.4553,
      0.3496,
      0.2771,
      0.303,
      0.298,
      0.3822,
      0.5186,
      0.0843,
      0.2606,
      0.2727,
      0.223,
      0.3049,
      0.0548,
      0.4398,
      0.3095,
      0.2971,
      0.3198,
      0.2767,
      0.2444,
      0.3739,
      0.4686,
      0.3009,
      0.3622,
      0.3003,
      0.2455,
      0.2191,
      0.1657,
      0.1518,
      0.2316,
      0.2466,
      0.2516,
      0.3524,
      0.2946,
      0.2779,
      0.501,
      0.2198,
      0.3673,
      0.3703,
      0.2252,
      0.2369,
      0.1329,
      0,
      0.2552,
      0.2852,
      0.3183,
      0.2338,
      0.4439,
      0.2245,
      0.4307,
      0.2108,
      0.1192,
      0.4523,
      0.281,
      0.1106,
      0.3032,
      0.1632,
      0.3087,
      0.2403,
      0.3479,
      0.5006,
      0.3568,
      0.4824,
      0.397,
      0.2159,
      0.2325,
      0.4666,
      0.2897,
      0.2422,
      0.2097,
      0.1718,
      0.1921,
      0.1921,
      0.1953,
      0.276,
      0.2049,
      0.1416,
      0.3498,
      0.1198,
      0.1415,
      0.4479,
      0.2751,
      0.1856,
      0.1387,
      0.2298,
      0.2245,
      0.159,
      0.132,
      0.2562,
      0.0723,
      0,
      0,
      0,
      0,
      0,
      0.2177,
      0.2198,
      0.187,
      0.2178,
      0.1646,
      0.1297,
      0.0895,
      0.1169,
      0.1065,
      0.2105,
      0.1801,
      0.293,
      0.274,
      0.2544,
      0.1704,
      0.3675,
      0.2252,
      0.268,
      0.1364,
      0.1879,
      0.1568,
      0.1843,
      0.1814,
      0.1773,
      0.2525,
      0.1237,
      0.1814,
      0.1511,
      0.1348,
      0.1971,
      0.2363,
      0.2201,
      0.2118,
      0.1532,
      0.2021,
      0.4566,
      0.1448,
      0.346,
      0.2595,
      0.4431,
      0.3379,
      0.3971,
      0.1897,
      0.3022,
      0.3262,
      0.3303,
      0.1508,
      0.1292,
      0,
      0.3922,
      0.2985,
      0.3417,
      0.4142,
      0.3127,
      0.2761,
      0.3983,
      0.2392,
      0.4059,
      0.1333,
      0.2859,
      0.5592,
      0.4417,
      0,
      0.4305,
      0.2931,
      0,
      0.5126,
      0,
      0.0232,
      0.2927,
      0.2209,
      0.0185,
      0.1161,
      0.5576,
      0.2693,
      0.3094,
      0.2635,
      0.267,
      0.3379,
      0.386,
      0.4936,
      0.1703,
      0.2107,
      0.2452,
      0.1633,
      0.2381,
      0,
      0.1347,
      0.1743,
      0.2322,
      0.2351,
      0.2448,
      0.1308,
      0.1927,
      0.5104,
      0.4104,
      0.3298,
      0.2768,
      0.2396,
      0.2887,
      0.297,
      0.4498,
      0.2577,
      0.2145,
      0.3537,
      0.0998,
      0.561,
      0.2326,
      0.4028,
      0.2528,
      0.1186,
      0.4442,
      0.1646,
      0.2876,
      0.2036,
      0.3709,
      0.2755,
      0.1283,
      0.3033,
      0.5636,
      0.5419,
      0.2143,
      0.4312,
      0.1443,
      0.2206,
      0.4165,
      0.2042,
      0.2123,
      0.2881,
      0.1906,
      0.3051,
      0.275,
      0.5221,
      0.237,
      0.4656,
      0.1889,
      0.2574,
      0.3228,
      0.4008,
      0.5076,
      0.2518,
      0.3613,
      0.2031,
      0.2213,
      0.2875,
      0.3794,
      0.1359,
      0.4317,
      0.3244,
      0.2211,
      0.3477,
      0.517,
      0,
      0.5537,
      0.1065,
      0,
      0.0298,
      0.1609,
      0.2706,
      0.1509,
      0.5153,
      0,
      0.1886,
      0.2145,
      0.1722,
      0.5643,
      0.0398,
      0.4253,
      0.1241,
      0.1661,
      0.2972,
      0.0751,
      0.2345,
      0.2322,
      0.2209,
      0.3249,
      0.0517,
      0.2238,
      0.522,
      0.5651,
      0.1644,
      0.4853,
      0.2317,
      0.1848,
      0.4423,
      0.1117,
      0.261,
      0.2532,
      0.318,
      0.1699,
      0.1801,
      0.5264,
      0.1165,
      0.5372,
      0.3408,
      0.4415,
      0.259,
      0.2916,
      0.4966,
      0.1908,
      0.2773,
      0.1005,
      0.3838,
      0.2178,
      0.1562,
      0.3041,
      0.5269,
      0.4486,
      0.2637,
      0.3381,
      0.3129,
      0.2816,
      0.5525,
      0.1037,
      0.19,
      0.2522,
      0.1903,
      0.3333,
      0.0312,
      0.5188,
      0.2877,
      0.3339,
      0.2706,
      0.2976,
      0.3313,
      0.3928,
      0.5174,
      0.3016,
      0.3215,
      0.2748,
      0.2199,
      0.183,
      0.3808,
      0.135,
      0.2998,
      0.2855,
      0.2387,
      0.2993,
      0.3931,
      0.3363,
      0.5383,
      0.309,
      0.3113,
      0.2847,
      0.3013,
      0.1994,
      0.2081,
      0,
      0.2735,
      0.2572,
      0.373,
      0.3859,
      0.5049,
      0.2563,
      0.5,
      0.2899,
      0.1721,
      0.4692,
      0.2624,
      0.213,
      0.1985,
      0.145,
      0.2337,
      0.3076,
      0.3397,
      0.5626,
      0.4288,
      0.4666,
      0.423,
      0.2878,
      0.2165,
      0.4845,
      0.2819,
      0.3107,
      0.1753,
      0.2117,
      0.2554,
      0.1898,
      0.2047,
      0.2437,
      0.2479,
      0.1355,
      0.3419,
      0.2447,
      0.187,
      0.4305,
      0.2459,
      0.1811,
      0.0735,
      0.2303,
      0.1905,
      0.1413,
      0.1602,
      0.251,
      0.0886,
      0,
      0,
      0,
      0,
      0,
      0.1335,
      0.2594,
      0.1396,
      0.2481,
      0.2582,
      0.2117,
      0.072,
      0.1382,
      0.0607,
      0.1799,
      0.1991,
      0.1848,
      0.1849,
      0.2429,
      0.263,
      0.2507,
      0.0889,
      0.2149,
      0.1634,
      0.2188,
      0.2183,
      0.2464,
      0.1721,
      0.1665,
      0.225,
      0.1513,
      0.1471,
      0.1579,
      0.1266,
      0.1922,
      0.1857,
      0.2228,
      0.2085,
      0.1429,
      0.1929,
      0.5318,
      0.0667,
      0.3769,
      0.3443,
      0.2285,
      0.2842,
      0.3024,
      0.1975,
      0.2814,
      0.2503,
      0.2582,
      0.2705,
      0.321,
      0.0392,
      0.5428,
      0.3327,
      0.3626,
      0.4097,
      0.1666,
      0.4019,
      0.4416,
      0.2855,
      0.4455,
      0.1155,
      0.4622,
      0.483,
      0.4368,
      0,
      0.4296,
      0.279,
      0,
      0.5035,
      0.1624,
      0.1745,
      0.2678,
      0.3412,
      0.0733,
      0.1116,
      0.5258,
      0.3486,
      0.2994,
      0.2914,
      0.3257,
      0.3208,
      0.4404,
      0.5089,
      0.2129,
      0.2126,
      0.372,
      0.1794,
      0.382,
      0,
      0.1656,
      0.2395,
      0.2134,
      0.2378,
      0.2578,
      0.2495,
      0.306,
      0.5438,
      0.4167,
      0.1972,
      0.3096,
      0.2263,
      0.3772,
      0.2756,
      0.3677,
      0.2705,
      0.2263,
      0.3399,
      0.1531,
      0.5423,
      0.209,
      0.4882,
      0.205,
      0.0841,
      0.4286,
      0.149,
      0.4355,
      0.1418,
      0.3542,
      0.2872,
      0.1388,
      0.4785,
      0.4813,
      0.4073,
      0.3218,
      0.4664,
      0.2462,
      0.2719,
      0.3937,
      0.1682,
      0.2247,
      0.2521,
      0.197,
      0.2996,
      0.2573,
      0.4548,
      0.2553,
      0.3766,
      0.2309,
      0.3573,
      0.3235,
      0.3112,
      0.4496,
      0.2292,
      0.325,
      0.1883,
      0.1951,
      0.3087,
      0.4032,
      0.1624,
      0.4061,
      0.3232,
      0.3747,
      0.4253,
      0.4909,
      0,
      0.5441,
      0.12,
      0,
      0.097,
      0.2033,
      0.4947,
      0.188,
      0.481,
      0,
      0.254,
      0.3014,
      0.2543,
      0.4579,
      0.0758,
      0.5132,
      0.1183,
      0.1676,
      0.3867,
      0.0826,
      0.4657,
      0.327,
      0.2617,
      0.3293,
      0.0823,
      0.3617,
      0.4626,
      0.5492,
      0.223,
      0.5119,
      0.196,
      0.1675,
      0.4804,
      0.1226,
      0.4828,
      0.358,
      0.3842,
      0.0918,
      0.316,
      0.468,
      0.1029,
      0.4537,
      0.3227,
      0.3287,
      0.0885,
      0.2121,
      0.4531,
      0.1768,
      0.391,
      0.1166,
      0.361,
      0.3114,
      0.1568,
      0.4812,
      0.4449,
      0.3675,
      0.3313,
      0.3611,
      0.3665,
      0.2654,
      0.5539,
      0.0848,
      0.2356,
      0.2542,
      0.2267,
      0.4237,
      0.022,
      0.46,
      0.3241,
      0.3009,
      0.2728,
      0.2544,
      0.3629,
      0.2641,
      0.5393,
      0.2772,
      0.3101,
      0.2745,
      0.1963,
      0.1753,
      0.3932,
      0.2328,
      0.3172,
      0.3089,
      0.3827,
      0.3291,
      0.267,
      0.3635,
      0.5275,
      0.4066,
      0.373,
      0.3133,
      0.1817,
      0.0976,
      0.3867,
      0,
      0.3323,
      0.2101,
      0.4358,
      0.3084,
      0.4153,
      0.2326,
      0.5256,
      0.2608,
      0.1493,
      0.494,
      0.2858,
      0.3363,
      0.2477,
      0.1798,
      0.2296,
      0.294,
      0.4828,
      0.479,
      0.3793,
      0.4195,
      0.4802,
      0.2435,
      0.3591,
      0.506,
      0.3062,
      0.2374,
      0.2196,
      0.2542,
      0.2425,
      0.1712,
      0.1949,
      0.2862,
      0.1683,
      0.1651,
      0.2989,
      0.172,
      0.174,
      0.5174,
      0.2032,
      0.2037,
      0.1546,
      0.3059,
      0.1978,
      0.1215,
      0.1333,
      0.1852,
      0.0823,
      0,
      0,
      0,
      0,
      0,
      0.2458,
      0.2137,
      0.2108,
      0.1871,
      0.1985,
      0.2065,
      0.1071,
      0.1605,
      0.112,
      0.152,
      0.2372,
      0.1646,
      0.2744,
      0.269,
      0.1794,
      0.2693,
      0.1406,
      0.2863,
      0.061,
      0.1635,
      0.2052,
      0.264,
      0.1947,
      0.2347,
      0.2164,
      0.279,
      0.2331,
      0.1652,
      0.1883,
      0.2355,
      0.1321,
      0.2897,
      0.2543,
      0.1495,
      0.2311,
      0.5047,
      0.062,
      0.4528,
      0.3465,
      0.2688,
      0.2917,
      0.3658,
      0.1614,
      0.2816,
      0.3861,
      0.2094,
      0.2671,
      0.3957,
      0.0649,
      0.511,
      0.3449,
      0.3406,
      0.3084,
      0.1818,
      0.2986,
      0.396,
      0.2634,
      0.32,
      0.138,
      0.4086,
      0.4728,
      0.4719,
      0,
      0.426,
      0.3022,
      0,
      0.5021,
      0.1652,
      0.1645,
      0.4142,
      0.2693,
      0.0743,
      0.2314,
      0.4814,
      0.2911,
      0.4323,
      0.3038,
      0.3599,
      0.3056,
      0.4135,
      0.5114,
      0.0642,
      0.3076,
      0.3708,
      0.1741,
      0.3614,
      0,
      0.0815,
      0.3367,
      0.2922,
      0.1966,
      0.2691,
      0.232,
      0.2787,
      0.555,
      0.1533,
      0.262,
      0.3301,
      0.2265,
      0.2876,
      0.2077,
      0.4248,
      0.2286,
      0.193,
      0.3682,
      0.124,
      0.4868,
      0.2674,
      0.4345,
      0.2095,
      0.0722,
      0.3459,
      0.1346,
      0.3787,
      0.199,
      0.3677,
      0.2997,
      0.0551,
      0.439,
      0.4695,
      0.5077,
      0.3075,
      0.4596,
      0.1701,
      0.2044,
      0.4158,
      0.1746,
      0.1959,
      0.2874,
      0.1978,
      0.2717,
      0.1845,
      0.449,
      0.3125,
      0.458,
      0.2638,
      0.352,
      0.2928,
      0.3418,
      0.5288,
      0.2965,
      0.2593,
      0.2598,
      0.2259,
      0.3299,
      0.272,
      0.0899,
      0.4765,
      0.3017,
      0.3753,
      0.3875,
      0.4684,
      0,
      0.5465,
      0.0499,
      0,
      0.112,
      0.1272,
      0.4168,
      0.1081,
      0.4818,
      0,
      0.3187,
      0.2439,
      0.212,
      0.4874,
      0.0047,
      0.4633,
      0.132,
      0.1574,
      0.4315,
      0.1115,
      0.3277,
      0.3319,
      0.2198,
      0.3538,
      0.1406,
      0.3452,
      0.4091,
      0.4965,
      0.1986,
      0.5017,
      0.2374,
      0.1787,
      0.4479,
      0.0946,
      0.3603,
      0.2926,
      0.3613,
      0.1317,
      0.1681,
      0.4511,
      0.0949,
      0.5108,
      0.3752,
      0.4078,
      0.1852,
      0.1971,
      0.4827,
      0.1859,
      0.383,
      0.04,
      0.2905,
      0.2254,
      0.0779,
      0.4099,
      0.4884,
      0.4746,
      0.3159,
      0.3372,
      0.3893,
      0.2061,
      0.5421,
      0.1573,
      0.2777,
      0.252,
      0.2233,
      0.3895,
      0,
      0.5011,
      0.3153,
      0.354,
      0.3035,
      0.3853,
      0.1861,
      0.2218,
      0.5365,
      0.2763,
      0.1981,
      0.1204,
      0.2563,
      0.2295,
      0.2294,
      0.2679,
      0.363,
      0.2688,
      0.3389,
      0.3986,
      0.3586,
      0.1516,
      0.5469,
      0.3094,
      0.3429,
      0.3721,
      0.1803,
      0.1809,
      0.4284,
      0,
      0.2864,
      0.2089,
      0.3695,
      0.2328,
      0.4768,
      0.2661,
      0.4785,
      0.2877,
      0.1696,
      0.3975,
      0.2431,
      0.2555,
      0.3386,
      0.0877,
      0.2139,
      0.294,
      0.4073,
      0.4795,
      0.4429,
      0.447,
      0.3923,
      0.2688,
      0.306,
      0.4439,
      0.3438,
      0.2719,
      0.198,
      0.231,
      0.2542,
      0.2128,
      0.2372,
      0.2423,
      0.1646,
      0.2413,
      0.3478,
      0.1607,
      0.2322,
      0.4657,
      0.2065,
      0.1935,
      0.1185,
      0.229,
      0.186,
      0.1335,
      0.1282,
      0.2567,
      0.0315,
      0,
      0,
      0,
      0,
      0,
      0.2544,
      0.2638,
      0.151,
      0.2201,
      0.1916,
      0.289,
      0.2024,
      0.1536,
      0.1251,
      0.0627,
      0.331,
      0.1986,
      0.2213,
      0.1887,
      0.1206,
      0.2466,
      0.1638,
      0.2195,
      0.1008,
      0.201,
      0.2013,
      0.2413,
      0.1782,
      0.2918,
      0.2886,
      0.2721,
      0.1871,
      0.1328,
      0.1493,
      0.2339,
      0.2458,
      0.3044,
      0.2802,
      0.167,
      0.2471,
      0.4593,
      0.1431,
      0.3761,
      0.3568,
      0.2377,
      0.3264,
      0.3467,
      0.2316,
      0.2653,
      0.3028,
      0.1995,
      0.1497,
      0.1849,
      0,
      0.4077,
      0.2836,
      0.2461,
      0.3509,
      0.1439,
      0.2388,
      0.3532,
      0.3054,
      0.3054,
      0.1736,
      0.3949,
      0.4984,
      0.436,
      0.0135,
      0.3661,
      0.322,
      0,
      0.4656,
      0,
      0.1148,
      0.2854,
      0.2632,
      0.0393,
      0.1463,
      0.5087,
      0.341,
      0.3134,
      0.1465,
      0.3744,
      0.373,
      0.3911,
      0.481,
      0.2041,
      0.2935,
      0.2902,
      0.1565,
      0.3487,
      0,
      0,
      0.2712,
      0.2498,
      0.243,
      0.2838,
      0.2381,
      0.0864,
      0.4815,
      0.2592,
      0.2734,
      0.2638,
      0.2896,
      0.3125,
      0.1962,
      0.4179,
      0.2778,
      0.2269,
      0.3839,
      0.161,
      0.4921,
      0.2753,
      0.4708,
      0.2395,
      0.1019,
      0.3993,
      0.1432,
      0.3394,
      0.2403,
      0.368,
      0.2696,
      0.0268,
      0.422,
      0.4976,
      0.5045,
      0.2598,
      0.4829,
      0.177,
      0.2655,
      0.308,
      0.1354,
      0.1606,
      0.2432,
      0.1996,
      0.2642,
      0.2441,
      0.4774,
      0.2471,
      0.4523,
      0.2884,
      0.3917,
      0.2722,
      0.361,
      0.4032,
      0.2534,
      0.3048,
      0.2373,
      0.2478,
      0.1845,
      0.1396,
      0.1911,
      0.4292,
      0.3398,
      0.0981,
      0.3265,
      0.4607,
      0,
      0.4585,
      0.0671,
      0,
      0.1021,
      0.0846,
      0.3757,
      0.1163,
      0.4533,
      0,
      0.1835,
      0.2412,
      0.2634,
      0.5117,
      0.0639,
      0.4757,
      0.1138,
      0.0958,
      0.2785,
      0.1278,
      0.2887,
      0.1677,
      0.1448,
      0.3199,
      0.1557,
      0.3241,
      0.4657,
      0.5041,
      0.0107,
      0.4387,
      0.1153,
      0.184,
      0.432,
      0.186,
      0.3075,
      0.183,
      0.3439,
      0.17,
      0.2497,
      0.4523,
      0.1521,
      0.4918,
      0.2591,
      0.389,
      0.2273,
      0.1245,
      0.451,
      0.0988,
      0.3219,
      0.0418,
      0.2819,
      0.1725,
      0.1409,
      0.3841,
      0.4939,
      0.4318,
      0.2713,
      0.339,
      0.2739,
      0.2975,
      0.5014,
      0.1193,
      0.2757,
      0.2738,
      0.1965,
      0.3698,
      0.0746,
      0.4578,
      0.2452,
      0.4105,
      0.3091,
      0.3041,
      0.3449,
      0.2234,
      0.4818,
      0.2428,
      0.2602,
      0.1884,
      0.2853,
      0.1743,
      0.2021,
      0.2121,
      0.2069,
      0.2541,
      0.2635,
      0.4032,
      0.2457,
      0.1626,
      0.5021,
      0.3008,
      0.4704,
      0.296,
      0.2209,
      0.2061,
      0.156,
      0,
      0.2522,
      0.1772,
      0.3942,
      0.2643,
      0.4692,
      0.255,
      0.4911,
      0.3094,
      0.2041,
      0.3995,
      0.2454,
      0.188,
      0.3276,
      0.1242,
      0.2628,
      0.2284,
      0.374,
      0.4996,
      0.41,
      0.4048,
      0.4085,
      0.2555,
      0.2614,
      0.4221,
      0.3691,
      0.2508,
      0.1731,
      0.2364,
      0.2563,
      0.1611,
      0.1538,
      0.2376,
      0.2539,
      0.2627,
      0.3705,
      0.1184,
      0.1064,
      0.4582,
      0.2812,
      0.1993,
      0.154,
      0.1413,
      0.181,
      0.1048,
      0.1823,
      0.2116,
      0.0635,
      0,
      0,
      0,
      0,
      0,
      0.2077,
      0.1752,
      0.165,
      0.1424,
      0.1929,
      0.2394,
      0.1375,
      0.1596,
      0.1567,
      0.0801,
      0.2718,
      0.3145,
      0.1814,
      0.1252,
      0.1604,
      0.243,
      0.1559,
      0.3006,
      0.0717,
      0.164,
      0.1458,
      0.1925,
      0.2201,
      0.2384,
      0.2722,
      0.2046,
      0.1659,
      0.1936,
      0.1724,
      0.2386,
      0.2277,
      0.2771,
      0.3259,
      0.1357,
      0.4365,
      0.466,
      0.0596,
      0.2618,
      0.3024,
      0.2376,
      0.3004,
      0.3408,
      0.224,
      0.3022,
      0.1729,
      0.1816,
      0.2669,
      0.1055,
      0.0009,
      0.4246,
      0.2764,
      0.2337,
      0.3807,
      0.0841,
      0.2967,
      0.3864,
      0.2414,
      0.4238,
      0.186,
      0.4337,
      0.4707,
      0.4518,
      0,
      0.3424,
      0.3146,
      0,
      0.5278,
      0,
      0.1565,
      0.2872,
      0.2779,
      0.0536,
      0.2169,
      0.4563,
      0.2184,
      0.3134,
      0.1659,
      0.3124,
      0.3426,
      0.326,
      0.5303,
      0.2665,
      0.2868,
      0.2924,
      0.1937,
      0.3788,
      0,
      0.1452,
      0.2486,
      0.2803,
      0.2928,
      0.242,
      0.3169,
      0.1178,
      0.4794,
      0.234,
      0.1699,
      0.3608,
      0.2565,
      0.3147,
      0.1986,
      0.4315,
      0.2898,
      0.1489,
      0.3813,
      0.1538,
      0.5304,
      0.1563,
      0.4342,
      0.2865,
      0.0632,
      0.4429,
      0.1298,
      0.4478,
      0.1548,
      0.3054,
      0.1289,
      0.1048,
      0.4461,
      0.4807,
      0.5141,
      0.2511,
      0.4205,
      0.1811,
      0.252,
      0.4364,
      0.1492,
      0.027,
      0.2066,
      0.2099,
      0.2937,
      0.1769,
      0.4133,
      0.2091,
      0.4678,
      0.372,
      0.3064,
      0.2854,
      0.3354,
      0.4993,
      0.17,
      0.3443,
      0.3289,
      0.2485,
      0.2203,
      0.1656,
      0.2743,
      0.4439,
      0.2898,
      0.1148,
      0.3667,
      0.4445,
      0,
      0.4697,
      0.086,
      0,
      0.0964,
      0.1213,
      0.4552,
      0.151,
      0.484,
      0,
      0.1257,
      0.2715,
      0.2544,
      0.4865,
      0.0653,
      0.4644,
      0.1594,
      0.0605,
      0.3288,
      0.1083,
      0.4014,
      0.1715,
      0.2484,
      0.2846,
      0.2949,
      0.3543,
      0.4196,
      0.5258,
      0.1609,
      0.3813,
      0.2128,
      0.1921,
      0.525,
      0.1906,
      0.4096,
      0.1364,
      0.2732,
      0.1965,
      0.2874,
      0.4276,
      0.1483,
      0.5018,
      0.2396,
      0.3749,
      0.2427,
      0.2379,
      0.4657,
      0.2231,
      0.2996,
      0,
      0.3084,
      0.2513,
      0,
      0.3904,
      0.5131,
      0.452,
      0.1808,
      0.3034,
      0.3168,
      0.3122,
      0.497,
      0.0697,
      0.2398,
      0.2601,
      0.1882,
      0.4122,
      0,
      0.4813,
      0.3088,
      0.3193,
      0.331,
      0.3128,
      0.3009,
      0.1853,
      0.454,
      0.193,
      0.3749,
      0.197,
      0.1962,
      0.2832,
      0.1913,
      0.2072,
      0.2008,
      0.2422,
      0.2079,
      0.2806,
      0.3209,
      0.2684,
      0.4914,
      0.3027,
      0.3834,
      0.3788,
      0.1793,
      0.2311,
      0.1431,
      0,
      0.2392,
      0.1636,
      0.3813,
      0.2197,
      0.5029,
      0.2044,
      0.4379,
      0.2488,
      0.136,
      0.4513,
      0.1723,
      0.2462,
      0.3043,
      0.1645,
      0.2176,
      0.311,
      0.4497,
      0.5073,
      0.4042,
      0.3449,
      0.3907,
      0.1835,
      0.2986,
      0.4461,
      0.283,
      0.221,
      0.2302,
      0.1838,
      0.188,
      0.202,
      0.1497,
      0.2851,
      0.2393,
      0.1447,
      0.2982,
      0.1514,
      0.2053,
      0.49,
      0.2925,
      0.2097,
      0.1424,
      0.2452,
      0.141,
      0.149,
      0.1659,
      0.1787,
      0.0523,
      0,
      0,
      0,
      0,
      0,
      0.2483,
      0.1854,
      0.267,
      0.2021,
      0.2052,
      0.2901,
      0.0602,
      0.1645,
      0.1259,
      0.0968,
      0.3053,
      0.3853,
      0.2142,
      0.1168,
      0.3063,
      0.184,
      0.2363,
      0.2957,
      0.0116,
      0.2448,
      0.1134,
      0.1782,
      0.2425,
      0.1945,
      0.2421,
      0.2058,
      0.1388,
      0.1572,
      0.1381,
      0.351,
      0.2009,
      0.3514,
      0.1729,
      0.1302,
      0.3961,
      0.4968,
      0.0332,
      0.1882,
      0.292,
      0.264,
      0.3324,
      0.4346,
      0.2334,
      0.3219,
      0.2038,
      0.2652,
      0.2012,
      0.1601,
      0.0209,
      0.49,
      0.2662,
      0.1611,
      0.4296,
      0.1342,
      0.3456,
      0.3881,
      0.2566,
      0.3949,
      0.1563,
      0.4334,
      0.4176,
      0.4429,
      0,
      0.354,
      0.332,
      0,
      0.5318,
      0,
      0.1839,
      0.3499,
      0.191,
      0.1124,
      0.2435,
      0.5199,
      0.3063,
      0.2843,
      0.1449,
      0.3455,
      0.3169,
      0.2612,
      0.5576,
      0.3408,
      0.2324,
      0.203,
      0.142,
      0.3892,
      0,
      0.1237,
      0.2122,
      0.2559,
      0.2899,
      0.3444,
      0.3739,
      0.0691,
      0.4892,
      0.3099,
      0.2902,
      0.3539,
      0.2603,
      0.2949,
      0.2057,
      0.4044,
      0.203,
      0.1821,
      0.3627,
      0.1127,
      0.493,
      0.1643,
      0.3708,
      0.2909,
      0.0508,
      0.403,
      0.1256,
      0.3969,
      0.2258,
      0.3081,
      0.2713,
      0.145,
      0.4692,
      0.4477,
      0.4908,
      0.2601,
      0.3756,
      0.1689,
      0.2747,
      0.4352,
      0.2033,
      0.1444,
      0.3548,
      0.1819,
      0.288,
      0.1422,
      0.3172,
      0.1948,
      0.4257,
      0.32,
      0.3509,
      0.2174,
      0.3098,
      0.5055,
      0.2512,
      0.3881,
      0.3961,
      0.1794,
      0.221,
      0.0997,
      0.394,
      0.4143,
      0.2938,
      0.1419,
      0.3076,
      0.4538,
      0,
      0.4629,
      0.3183,
      0,
      0.153,
      0.1512,
      0.4605,
      0.1142,
      0.4592,
      0,
      0.1056,
      0.2095,
      0.2262,
      0.4646,
      0.0661,
      0.4321,
      0.2386,
      0.1521,
      0.3446,
      0.093,
      0.4222,
      0.1823,
      0.2574,
      0.2203,
      0.4114,
      0.3703,
      0.3053,
      0.502,
      0.3175,
      0.4306,
      0.3091,
      0.2149,
      0.522,
      0.346,
      0.4351,
      0.188,
      0.275,
      0.2288,
      0.374,
      0.4019,
      0.1386,
      0.4862,
      0.2454,
      0.4462,
      0.3536,
      0.1751,
      0.4726,
      0.2278,
      0.3461,
      0.0234,
      0.2843,
      0.2479,
      0.0471,
      0.4419,
      0.4839,
      0.4283,
      0.2218,
      0.3177,
      0.3553,
      0.2413,
      0.4971,
      0.0254,
      0.2421,
      0.3621,
      0.1054,
      0.4125,
      0.0639,
      0.4809,
      0.322,
      0.3109,
      0.352,
      0.3367,
      0.2045,
      0.1894,
      0.4383,
      0.3098,
      0.402,
      0.273,
      0.2565,
      0.2817,
      0.132,
      0.3447,
      0.211,
      0.2155,
      0.3101,
      0.2737,
      0.3547,
      0.3306,
      0.4924,
      0.2697,
      0.3517,
      0.3163,
      0.3553,
      0.1365,
      0.0909,
      0,
      0.273,
      0.1033,
      0.3807,
      0.2072,
      0.4467,
      0.2538,
      0.3683,
      0.351,
      0.0076,
      0.5142,
      0.1992,
      0.2923,
      0.2752,
      0.103,
      0.2241,
      0.3005,
      0.4467,
      0.4732,
      0.4146,
      0.3173,
      0.3559,
      0.1371,
      0.1637,
      0.4785,
      0.3264,
      0.2391,
      0.2714,
      0.1733,
      0.2444,
      0.211,
      0.1853,
      0.1963,
      0.1836,
      0.1614,
      0.3362,
      0.1472,
      0.1734,
      0.5149,
      0.2152,
      0.1984,
      0.1132,
      0.2719,
      0.2144,
      0.0909,
      0.2047,
      0.2674,
      0.1131,
      0,
      0,
      0,
      0,
      0,
      0.2211,
      0.176,
      0.1667,
      0.2052,
      0.2261,
      0.2701,
      0.0542,
      0.0782,
      0.1244,
      0.0881,
      0.1855,
      0.3761,
      0.2154,
      0.1695,
      0.192,
      0.2354,
      0.1171,
      0.3084,
      0.0947,
      0.2981,
      0.1006,
      0.2726,
      0.1949,
      0.1716,
      0.2626,
      0.1953,
      0.0946,
      0.1576,
      0.1089,
      0.3928,
      0.1912,
      0.3529,
      0.2141,
      0.1026,
      0.3958,
      0.4543,
      0.049,
      0.335,
      0.3478,
      0.3795,
      0.3813,
      0.4767,
      0.3465,
      0.2953,
      0.3683,
      0.1984,
      0.0669,
      0.1745,
      0.0431,
      0.4818,
      0.3175,
      0.2418,
      0.4175,
      0.2923,
      0.3111,
      0.3784,
      0.28,
      0.3271,
      0.0974,
      0.4245,
      0.4196,
      0.3845,
      0,
      0.3808,
      0.2841,
      0.0162,
      0.5013,
      0,
      0.1034,
      0.4291,
      0.1642,
      0.0305,
      0.2413,
      0.4591,
      0.2333,
      0.1878,
      0.1745,
      0.4092,
      0.3387,
      0.2957,
      0.5292,
      0.1296,
      0.3625,
      0.2693,
      0.1529,
      0.3483,
      0.0201,
      0.1416,
      0.2629,
      0.2741,
      0.2458,
      0.2586,
      0.2261,
      0.1004,
      0.4902,
      0.4145,
      0.1132,
      0.2886,
      0.1817,
      0.3138,
      0.2053,
      0.3523,
      0.2117,
      0.1358,
      0.3701,
      0.1598,
      0.4034,
      0.1199,
      0.3892,
      0.2147,
      0.1177,
      0.3995,
      0.1227,
      0.3684,
      0.1484,
      0.2879,
      0.2861,
      0.0905,
      0.3632,
      0.3567,
      0.3716,
      0.3204,
      0.4153,
      0.1596,
      0.3036,
      0.4142,
      0.161,
      0.2134,
      0.3725,
      0.1533,
      0.3109,
      0.1969,
      0.3351,
      0.19,
      0.3849,
      0.3157,
      0.3595,
      0.3147,
      0.3574,
      0.5081,
      0.2239,
      0.4432,
      0.4024,
      0.2534,
      0.236,
      0.2559,
      0.1423,
      0.3551,
      0.2757,
      0.1472,
      0.3087,
      0.4224,
      0,
      0.4471,
      0.1009,
      0,
      0.2275,
      0.0922,
      0.4297,
      0.0376,
      0.4235,
      0,
      0.1802,
      0.2454,
      0.2627,
      0.4655,
      0.0454,
      0.4783,
      0.2,
      0.0773,
      0.2896,
      0.2674,
      0.3902,
      0.1275,
      0.189,
      0.1366,
      0.1677,
      0.3333,
      0.315,
      0.3906,
      0.1609,
      0.4037,
      0.2013,
      0.1539,
      0.4848,
      0.184,
      0.4043,
      0.2416,
      0.3226,
      0.1381,
      0.2576,
      0.3176,
      0.1435,
      0.4103,
      0.4509,
      0.4085,
      0.1387,
      0.1859,
      0.4531,
      0.1709,
      0.3349,
      0.0276,
      0.3265,
      0.3208,
      0.02,
      0.4071,
      0.4585,
      0.3824,
      0.1525,
      0.3385,
      0.2969,
      0.2684,
      0.4379,
      0.0988,
      0.3025,
      0.3677,
      0.2828,
      0.3804,
      0,
      0.4424,
      0.3449,
      0.2282,
      0.2173,
      0.3737,
      0.363,
      0.4015,
      0.4825,
      0.2615,
      0.306,
      0.3724,
      0.2647,
      0.2291,
      0.1746,
      0.24,
      0.154,
      0.3094,
      0.3334,
      0.3716,
      0.3279,
      0.3132,
      0.4734,
      0.2826,
      0.3271,
      0.4209,
      0.2402,
      0.2392,
      0.1638,
      0,
      0.3547,
      0.1795,
      0.3536,
      0.1398,
      0.3952,
      0.2723,
      0.4221,
      0.3523,
      0.0932,
      0.5023,
      0.2809,
      0.2677,
      0.2175,
      0.1033,
      0.2882,
      0.2071,
      0.4187,
      0.4126,
      0.3542,
      0.4029,
      0.4123,
      0.1202,
      0.205,
      0.4981,
      0.2719,
      0.1894,
      0.163,
      0.1632,
      0.2056,
      0.1879,
      0.1234,
      0.2492,
      0.1722,
      0.1195,
      0.3228,
      0.1453,
      0.1055,
      0.5229,
      0.2645,
      0.2653,
      0.1388,
      0.2693,
      0.1795,
      0.0917,
      0.1477,
      0.2114,
      0.0878,
      0,
      0,
      0,
      0,
      0,
      0.2444,
      0.1647,
      0.1741,
      0.1754,
      0.3,
      0.2399,
      0.0647,
      0.1149,
      0.1385,
      0.1628,
      0.2375,
      0.4001,
      0.1738,
      0.2584,
      0.2073,
      0.2079,
      0.2706,
      0.2933,
      0.0597,
      0.2267,
      0.0444,
      0.2295,
      0.1786,
      0.1457,
      0.3066,
      0.1824,
      0.2248,
      0.0981,
      0.1128,
      0.2351,
      0.1377,
      0.2576,
      0.2405,
      0.1879,
      0.4017,
      0.4962,
      0.1156,
      0.3069,
      0.4128,
      0.4388,
      0.2978,
      0.2611,
      0.2287,
      0.3823,
      0.3301,
      0.2377,
      0.1393,
      0.1931,
      0,
      0.4093,
      0.3121,
      0.3146,
      0.4522,
      0.2242,
      0.2172,
      0.3592,
      0.3218,
      0.3035,
      0.078,
      0.37,
      0.4353,
      0.3152,
      0,
      0.2923,
      0.2282,
      0,
      0.5208,
      0,
      0.0696,
      0.4255,
      0.19,
      0.0064,
      0.313,
      0.4198,
      0.2236,
      0.235,
      0.1681,
      0.406,
      0.2726,
      0.403,
      0.5684,
      0.1994,
      0.4375,
      0.2485,
      0.2129,
      0.272,
      0,
      0.1567,
      0.2566,
      0.2724,
      0.3286,
      0.3373,
      0.3152,
      0.1478,
      0.5082,
      0.4526,
      0.1615,
      0.3667,
      0.1624,
      0.3013,
      0.2173,
      0.3301,
      0.1314,
      0.2389,
      0.3468,
      0.0898,
      0.461,
      0.1604,
      0.3665,
      0.2745,
      0.1412,
      0.4866,
      0.1311,
      0.3834,
      0.1954,
      0.2997,
      0.3723,
      0.1155,
      0.4102,
      0.3764,
      0.3977,
      0.3216,
      0.3217,
      0.0889,
      0.3275,
      0.4543,
      0.2325,
      0.1974,
      0.2772,
      0.1496,
      0.2719,
      0.2918,
      0.3733,
      0.2431,
      0.3265,
      0.2686,
      0.3943,
      0.3996,
      0.428,
      0.5372,
      0.2026,
      0.3676,
      0.2377,
      0.3133,
      0.2995,
      0.2589,
      0.1128,
      0.3088,
      0.2546,
      0.0633,
      0.2614,
      0.3455,
      0.0465,
      0.4411,
      0.0499,
      0,
      0.1777,
      0.1511,
      0.3406,
      0.1304,
      0.3365,
      0,
      0.2141,
      0.3114,
      0.2577,
      0.3577,
      0.0367,
      0.4767,
      0.1569,
      0.0877,
      0.3709,
      0.252,
      0.3008,
      0.1077,
      0.1822,
      0.2442,
      0.1078,
      0.2645,
      0.3645,
      0.4407,
      0.1287,
      0.4027,
      0.2499,
      0.2296,
      0.4824,
      0.1021,
      0.3109,
      0.2339,
      0.2968,
      0.146,
      0.2352,
      0.4046,
      0.1115,
      0.3605,
      0.4152,
      0.361,
      0.1235,
      0.151,
      0.4927,
      0.1592,
      0.3109,
      0.0525,
      0.3075,
      0.3428,
      0,
      0.3867,
      0.3616,
      0.324,
      0.253,
      0.3185,
      0.2323,
      0.2786,
      0.5034,
      0.0833,
      0.2877,
      0.2994,
      0.1638,
      0.3455,
      0.0703,
      0.3277,
      0.2473,
      0.2754,
      0.2974,
      0.2295,
      0.432,
      0.3303,
      0.4824,
      0.1912,
      0.302,
      0.2328,
      0.3024,
      0.2421,
      0.2855,
      0.2281,
      0.2624,
      0.2325,
      0.1985,
      0.3342,
      0.3152,
      0.386,
      0.5107,
      0.3891,
      0.3961,
      0.435,
      0.2353,
      0.1326,
      0.166,
      0,
      0.3587,
      0.1359,
      0.2245,
      0.1695,
      0.3695,
      0.2432,
      0.3973,
      0.1595,
      0.0763,
      0.5192,
      0.2978,
      0.1587,
      0.1977,
      0.1211,
      0.1976,
      0.2476,
      0.3344,
      0.4105,
      0.3032,
      0.3311,
      0.3279,
      0.228,
      0.1939,
      0.5131,
      0.2534,
      0.2796,
      0.1295,
      0.1917,
      0.1651,
      0.1295,
      0.1397,
      0.1776,
      0.1074,
      0.1978,
      0.3507,
      0.2245,
      0.1304,
      0.555,
      0.2798,
      0.246,
      0.1105,
      0.1877,
      0.079,
      0.0929,
      0.1051,
      0.0918,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2427,
      0.1749,
      0.1964,
      0.1582,
      0.2874,
      0.2159,
      0.013,
      0.1262,
      0.085,
      0.2367,
      0.2249,
      0.3313,
      0.0662,
      0.31,
      0.1931,
      0.2222,
      0.2034,
      0.2854,
      0.0285,
      0.2282,
      0.0198,
      0.3,
      0.1642,
      0.1311,
      0.2758,
      0.194,
      0.2608,
      0.1858,
      0.1354,
      0.2502,
      0.1613,
      0.2452,
      0.2849,
      0.171,
      0.3124,
      0.3174,
      0.0558,
      0.3431,
      0.3469,
      0.2885,
      0.2314,
      0.2244,
      0.2364,
      0.3531,
      0.2151,
      0.2391,
      0.2063,
      0.2487,
      0,
      0.4487,
      0.2689,
      0.3359,
      0.3777,
      0.0994,
      0.3231,
      0.3519,
      0.307,
      0.3596,
      0.1309,
      0.3645,
      0.326,
      0.3497,
      0,
      0.3459,
      0.2723,
      0,
      0.4426,
      0.0252,
      0.1663,
      0.3143,
      0.386,
      0,
      0.2469,
      0.4183,
      0.2356,
      0.2558,
      0.1911,
      0.2851,
      0.2751,
      0.4519,
      0.4797,
      0.1524,
      0.2467,
      0.2946,
      0.1572,
      0.302,
      0,
      0.0995,
      0.21,
      0.2761,
      0.2064,
      0.286,
      0.2369,
      0.2046,
      0.4077,
      0.1598,
      0.2132,
      0.3117,
      0.2113,
      0.2892,
      0.1485,
      0.2991,
      0.1287,
      0.253,
      0.351,
      0.0791,
      0.4341,
      0.169,
      0.3837,
      0.2725,
      0.1484,
      0.3883,
      0.0432,
      0.4054,
      0.182,
      0.283,
      0.2594,
      0.085,
      0.3835,
      0.3288,
      0.3753,
      0.316,
      0.3282,
      0.1537,
      0.3373,
      0.4119,
      0.202,
      0.1982,
      0.1074,
      0.1758,
      0.3169,
      0.2194,
      0.3051,
      0.2761,
      0.3435,
      0.162,
      0.3792,
      0.3305,
      0.3887,
      0.4341,
      0.2573,
      0.3468,
      0.2275,
      0.2089,
      0.2909,
      0.291,
      0.1859,
      0.3451,
      0.2748,
      0.186,
      0.3648,
      0.3691,
      0,
      0.469,
      0.0273,
      0,
      0.052,
      0.1172,
      0.4061,
      0.1314,
      0.3609,
      0,
      0.2599,
      0.3273,
      0.1748,
      0.412,
      0.0116,
      0.4585,
      0.0999,
      0.1634,
      0.3161,
      0.2306,
      0.3981,
      0.2747,
      0.2662,
      0.3024,
      0.0186,
      0.2848,
      0.3045,
      0.4274,
      0.1635,
      0.4225,
      0.1807,
      0.2113,
      0.4231,
      0.0819,
      0.4042,
      0.2783,
      0.2726,
      0.1153,
      0.2456,
      0.3454,
      0.1565,
      0.3296,
      0.312,
      0.3287,
      0.1398,
      0.1505,
      0.4318,
      0.1663,
      0.3567,
      0,
      0.2931,
      0.1591,
      0,
      0.4135,
      0.3131,
      0.337,
      0.2951,
      0.2995,
      0.2879,
      0.1527,
      0.4365,
      0.1986,
      0.2855,
      0.2526,
      0.2106,
      0.3575,
      0.0535,
      0.3068,
      0.3182,
      0.2897,
      0.3145,
      0.258,
      0.3078,
      0.3636,
      0.4093,
      0.2378,
      0.2691,
      0.181,
      0.1004,
      0.2292,
      0.3052,
      0.225,
      0.2799,
      0.1933,
      0.2697,
      0.3582,
      0.2818,
      0.2283,
      0.4292,
      0.301,
      0.3564,
      0.3041,
      0.1356,
      0.1671,
      0.1112,
      0,
      0.3005,
      0.1212,
      0.3078,
      0.1899,
      0.3672,
      0.2536,
      0.3589,
      0.3033,
      0.096,
      0.4459,
      0.215,
      0.2671,
      0.2105,
      0.2045,
      0.1188,
      0.2707,
      0.4056,
      0.32,
      0.3195,
      0.2742,
      0.323,
      0.2915,
      0.1756,
      0.4539,
      0.2471,
      0.2754,
      0.2653,
      0.0687,
      0.223,
      0.1376,
      0.1035,
      0.1678,
      0.1245,
      0.1436,
      0.223,
      0.1476,
      0.1176,
      0.4246,
      0.1394,
      0.2258,
      0.1163,
      0.1682,
      0.117,
      0.1192,
      0.1167,
      0.0966,
      0.0201,
      0,
      0,
      0,
      0,
      0,
      0.21,
      0.1971,
      0.1616,
      0.1799,
      0.2261,
      0.2495,
      0.012,
      0.1425,
      0.1493,
      0.1497,
      0.2165,
      0.3206,
      0.0723,
      0.1021,
      0.2019,
      0.2331,
      0.2461,
      0.3276,
      0.0507,
      0.2385,
      0.0665,
      0.2686,
      0.2098,
      0.1735,
      0.23,
      0.305,
      0.1826,
      0.1678,
      0.1874,
      0.25,
      0.1418,
      0.2315,
      0.1432,
      0.048,
      0.245,
      0.4443,
      0.032,
      0.3813,
      0.3892,
      0.3068,
      0.3086,
      0.2677,
      0.1878,
      0.2753,
      0.254,
      0.1659,
      0.2992,
      0.3164,
      0,
      0.4334,
      0.2804,
      0.3166,
      0.3417,
      0.117,
      0.2493,
      0.304,
      0.3204,
      0.4042,
      0.1552,
      0.4182,
      0.2971,
      0.348,
      0,
      0.3655,
      0.2643,
      0,
      0.4421,
      0.1619,
      0.0457,
      0.2912,
      0.3751,
      0.0283,
      0.2233,
      0.4249,
      0.2832,
      0.3747,
      0.2568,
      0.2968,
      0.2537,
      0.4271,
      0.4671,
      0.1473,
      0.156,
      0.3552,
      0.1579,
      0.3416,
      0,
      0.1047,
      0.2601,
      0.2668,
      0.2374,
      0.3297,
      0.2216,
      0.2017,
      0.4858,
      0.2228,
      0.1646,
      0.2463,
      0.1865,
      0.2646,
      0.1774,
      0.3331,
      0.1163,
      0.2159,
      0.3729,
      0.1387,
      0.4487,
      0.0928,
      0.4128,
      0.2148,
      0.1571,
      0.287,
      0.2019,
      0.3701,
      0.1993,
      0.3097,
      0.3002,
      0.0978,
      0.4213,
      0.3832,
      0.3957,
      0.4072,
      0.4097,
      0.1842,
      0.2071,
      0.3288,
      0.2194,
      0.2828,
      0.192,
      0.1837,
      0.2734,
      0.2292,
      0.3031,
      0.3063,
      0.3619,
      0.2146,
      0.4189,
      0.3476,
      0.4023,
      0.5229,
      0.3523,
      0.3394,
      0.1976,
      0.1797,
      0.2521,
      0.1072,
      0.2041,
      0.3081,
      0.2194,
      0.2803,
      0.3914,
      0.4194,
      0,
      0.4312,
      0.0853,
      0,
      0.0667,
      0.0983,
      0.4394,
      0.1483,
      0.36,
      0,
      0.3497,
      0.311,
      0.2612,
      0.4004,
      0.0111,
      0.4284,
      0.1382,
      0.0821,
      0.416,
      0.207,
      0.3723,
      0.3713,
      0.2519,
      0.3502,
      0.0025,
      0.3461,
      0.3266,
      0.4454,
      0.1853,
      0.3974,
      0.1569,
      0.1942,
      0.3587,
      0.0961,
      0.4055,
      0.3077,
      0.2828,
      0.1317,
      0.1291,
      0.3593,
      0.1831,
      0.357,
      0.3693,
      0.2982,
      0.2022,
      0.169,
      0.3961,
      0.1601,
      0.2981,
      0.0476,
      0.2852,
      0.3103,
      0.0865,
      0.4306,
      0.4315,
      0.3543,
      0.3139,
      0.1699,
      0.3014,
      0.2345,
      0.4473,
      0.0848,
      0.2566,
      0.3444,
      0.2261,
      0.3728,
      0.0465,
      0.3338,
      0.3095,
      0.3063,
      0.3342,
      0.3192,
      0.3077,
      0.3142,
      0.4191,
      0.3274,
      0.2765,
      0.1505,
      0.2302,
      0.2071,
      0.2119,
      0.2262,
      0.3288,
      0.2461,
      0.2924,
      0.3018,
      0.4761,
      0.174,
      0.445,
      0.2761,
      0.3346,
      0.3124,
      0.1862,
      0.2594,
      0.2785,
      0,
      0.3547,
      0.0985,
      0.3545,
      0.272,
      0.3845,
      0.221,
      0.3977,
      0.3155,
      0.0757,
      0.4615,
      0.2386,
      0.225,
      0.3023,
      0.2003,
      0.2242,
      0.2124,
      0.4456,
      0.3439,
      0.2802,
      0.3612,
      0.3099,
      0.2126,
      0.2358,
      0.4729,
      0.2886,
      0.2474,
      0.1176,
      0.1512,
      0.0931,
      0.0258,
      0.0787,
      0.2223,
      0.1457,
      0.1337,
      0.293,
      0.135,
      0.1173,
      0.4391,
      0.1451,
      0.162,
      0.1001,
      0.1262,
      0.146,
      0.0085,
      0.0852,
      0.119,
      0,
      0,
      0,
      0,
      0,
      0,
      0.161,
      0.0801,
      0.1566,
      0.1825,
      0.2901,
      0.2393,
      0,
      0.1407,
      0.1201,
      0.1512,
      0.4021,
      0.2686,
      0.1868,
      0.1878,
      0.1516,
      0.1689,
      0.2318,
      0.2863,
      0.0924,
      0.2405,
      0.0813,
      0.2738,
      0.1657,
      0.1692,
      0.3077,
      0.255,
      0.2052,
      0.1928,
      0.2176,
      0.2342,
      0.174,
      0.1684,
      0.2123,
      0.1101,
      0.2603,
      0.4332,
      0.0817,
      0.4518,
      0.4028,
      0.3833,
      0.2476,
      0.2769,
      0.2151,
      0.3459,
      0.2584,
      0.3253,
      0.1853,
      0.1467,
      0,
      0.5063,
      0.2933,
      0.1857,
      0.4688,
      0.0551,
      0.3396,
      0.2745,
      0.3372,
      0.3137,
      0.1368,
      0.4039,
      0.2673,
      0.3578,
      0,
      0.4176,
      0.1912,
      0,
      0.5186,
      0,
      0.0987,
      0.2589,
      0.3043,
      0,
      0.1582,
      0.4225,
      0.2874,
      0.3345,
      0.2297,
      0.352,
      0.2641,
      0.3844,
      0.5441,
      0.1374,
      0.2413,
      0.3062,
      0.1558,
      0.2984,
      0,
      0.1646,
      0.2463,
      0.2608,
      0.2408,
      0.3304,
      0.2622,
      0.0277,
      0.3664,
      0.1929,
      0.2344,
      0.3419,
      0.3349,
      0.2667,
      0.163,
      0.315,
      0.1444,
      0.1568,
      0.3146,
      0.1566,
      0.4262,
      0.1519,
      0.4099,
      0.1866,
      0.1346,
      0.4959,
      0.1567,
      0.3879,
      0.1726,
      0.2671,
      0.2895,
      0.0866,
      0.3883,
      0.2267,
      0.4207,
      0.3595,
      0.3686,
      0.1736,
      0.2318,
      0.4313,
      0.2278,
      0.1773,
      0.3284,
      0.2267,
      0.2362,
      0.2185,
      0.2889,
      0.3216,
      0.3775,
      0.2633,
      0.3606,
      0.3973,
      0.2921,
      0.5326,
      0.3088,
      0.3252,
      0.1467,
      0.2389,
      0.2131,
      0.184,
      0.1688,
      0.3224,
      0.2614,
      0.0998,
      0.3187,
      0.3959,
      0,
      0.4501,
      0,
      0,
      0,
      0.1459,
      0.4233,
      0.0995,
      0.3826,
      0,
      0.208,
      0.258,
      0.2818,
      0.4295,
      0,
      0.4807,
      0.1095,
      0.0683,
      0.346,
      0.1074,
      0.419,
      0.1642,
      0.2177,
      0.2962,
      0.0811,
      0.284,
      0.2634,
      0.4562,
      0.1752,
      0.4533,
      0.1822,
      0.2788,
      0.4351,
      0.1103,
      0.4032,
      0.1938,
      0.2583,
      0.1955,
      0.1917,
      0.3387,
      0.1861,
      0.3197,
      0.2905,
      0.3367,
      0.2471,
      0.1718,
      0.4818,
      0.0722,
      0.2935,
      0.0066,
      0.3274,
      0.2478,
      0.0898,
      0.4405,
      0.3611,
      0.3593,
      0.2723,
      0.2558,
      0.2005,
      0.2066,
      0.4416,
      0.0507,
      0.3067,
      0.3168,
      0.2528,
      0.3781,
      0.0198,
      0.3857,
      0.2982,
      0.3252,
      0.3212,
      0.3868,
      0.4467,
      0.2987,
      0.4877,
      0.3203,
      0.1449,
      0.2366,
      0.2978,
      0.2601,
      0.1901,
      0.2357,
      0.2808,
      0.2643,
      0.1471,
      0.3136,
      0.4481,
      0.2115,
      0.3881,
      0.2813,
      0.307,
      0.334,
      0.3341,
      0.2591,
      0.0196,
      0,
      0.2448,
      0.1745,
      0.3266,
      0.1793,
      0.3665,
      0.2226,
      0.4492,
      0.2574,
      0,
      0.46,
      0.1592,
      0.2716,
      0.2148,
      0.1485,
      0.186,
      0.2463,
      0.4193,
      0.3175,
      0.3215,
      0.2987,
      0.289,
      0.1283,
      0.178,
      0.5015,
      0.2301,
      0.1957,
      0.1779,
      0.1536,
      0.1796,
      0.156,
      0.0881,
      0.1442,
      0.1165,
      0.0239,
      0.3329,
      0.1589,
      0.0489,
      0.5475,
      0.1404,
      0.0894,
      0.0974,
      0.1663,
      0.1097,
      0.094,
      0.1393,
      0.1014,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1427,
      0.1011,
      0.2438,
      0.2393,
      0.2025,
      0.1059,
      0.0762,
      0.117,
      0.1543,
      0.1732,
      0.3499,
      0.2462,
      0.2041,
      0.0774,
      0.2115,
      0.1523,
      0.2148,
      0.3956,
      0.0754,
      0.2152,
      0.1437,
      0.1696,
      0.1629,
      0.0653,
      0.3231,
      0.2079,
      0.2091,
      0.2051,
      0.2247,
      0.1449,
      0.2251,
      0.1295,
      0.2271,
      0.0913,
      0.215,
      0.4616,
      0.1292,
      0.3525,
      0.346,
      0.3376,
      0.2445,
      0.3296,
      0.202,
      0.329,
      0.3319,
      0.3411,
      0.1327,
      0.149,
      0.0444,
      0.4525,
      0.2734,
      0.2018,
      0.3993,
      0.1657,
      0.2465,
      0.3545,
      0.3126,
      0.3633,
      0.0635,
      0.3534,
      0.3611,
      0.3282,
      0,
      0.2883,
      0.1321,
      0,
      0.4982,
      0,
      0.1291,
      0.1829,
      0.2331,
      0,
      0.1303,
      0.4055,
      0.2879,
      0.2391,
      0.1394,
      0.3023,
      0.315,
      0.2778,
      0.533,
      0.1742,
      0.2075,
      0.2298,
      0.1748,
      0.2754,
      0,
      0.0676,
      0.2267,
      0.2707,
      0.2538,
      0.3253,
      0.2185,
      0.0414,
      0.4451,
      0.2423,
      0.1695,
      0.2972,
      0.2502,
      0.2312,
      0.1163,
      0.2688,
      0.1678,
      0.208,
      0.2702,
      0.1588,
      0.4341,
      0.129,
      0.4304,
      0.2741,
      0.1118,
      0.4642,
      0.0435,
      0.3634,
      0.1906,
      0.1928,
      0.2716,
      0.0423,
      0.4039,
      0.3947,
      0.3825,
      0.3844,
      0.3318,
      0.1591,
      0.2824,
      0.4111,
      0.1816,
      0.1838,
      0.2545,
      0.2063,
      0.2212,
      0.1613,
      0.3526,
      0.3014,
      0.3327,
      0.2384,
      0.4014,
      0.4312,
      0.3214,
      0.4884,
      0.2794,
      0.2227,
      0.2539,
      0.2682,
      0.2265,
      0.1029,
      0.1409,
      0.3047,
      0.2913,
      0.1149,
      0.3816,
      0.3453,
      0,
      0.4615,
      0.0076,
      0,
      0.0259,
      0.1961,
      0.3718,
      0.0733,
      0.3642,
      0,
      0.1155,
      0.261,
      0.2194,
      0.3553,
      0,
      0.4173,
      0.2199,
      0.0292,
      0.2991,
      0.0506,
      0.3359,
      0.1268,
      0.2092,
      0.2604,
      0.1211,
      0.2103,
      0.3391,
      0.4374,
      0.1495,
      0.3926,
      0.1294,
      0.1744,
      0.4628,
      0.1584,
      0.3358,
      0.2341,
      0.3007,
      0.1897,
      0.2068,
      0.3408,
      0.1588,
      0.3908,
      0.3109,
      0.3704,
      0.149,
      0.1771,
      0.4897,
      0.1454,
      0.2832,
      0,
      0.2938,
      0.1969,
      0.0835,
      0.3634,
      0.3826,
      0.3203,
      0.3215,
      0.2218,
      0.1084,
      0.1961,
      0.4826,
      0,
      0.2507,
      0.2483,
      0.1832,
      0.2524,
      0.0507,
      0.3719,
      0.2042,
      0.3393,
      0.3152,
      0.2946,
      0.3954,
      0.2618,
      0.4751,
      0.2581,
      0.1965,
      0.1419,
      0.2524,
      0.2501,
      0.1959,
      0.1785,
      0.2178,
      0.2588,
      0.1259,
      0.3334,
      0.2958,
      0.3119,
      0.4826,
      0.2171,
      0.4176,
      0.347,
      0.2832,
      0.2358,
      0.0628,
      0,
      0.2505,
      0.1043,
      0.3178,
      0.1409,
      0.3624,
      0.2492,
      0.42,
      0.314,
      0,
      0.4827,
      0.1834,
      0.1667,
      0.1482,
      0.095,
      0.1871,
      0.2366,
      0.3561,
      0.3917,
      0.2958,
      0.3341,
      0.3414,
      0.2214,
      0.0913,
      0.4784,
      0.2133,
      0.1477,
      0.161,
      0.0884,
      0.1755,
      0.0944,
      0.0648,
      0.0815,
      0.088,
      0.0049,
      0.3211,
      0.0878,
      0.0965,
      0.523,
      0.1863,
      0.1267,
      0.0805,
      0.2333,
      0.057,
      0,
      0.0745,
      0.0909,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1793,
      0.1393,
      0.2202,
      0.1675,
      0.2052,
      0.2406,
      0.102,
      0.2556,
      0.1086,
      0.1765,
      0.1807,
      0.2685,
      0.1789,
      0.1337,
      0.1674,
      0.1348,
      0.1776,
      0.3448,
      0.0973,
      0.225,
      0.1489,
      0.1443,
      0.1265,
      0.1026,
      0.2323,
      0.22,
      0.1886,
      0.2143,
      0.1536,
      0.1816,
      0.1735,
      0.1585,
      0.1173,
      0.158,
      0.3425,
      0.5011,
      0.0042,
      0.1945,
      0.3056,
      0.2711,
      0.2315,
      0.2925,
      0.1788,
      0.3213,
      0.3688,
      0.2463,
      0.1108,
      0.2285,
      0.0543,
      0.5112,
      0.3445,
      0.109,
      0.3849,
      0.1676,
      0.1651,
      0.3916,
      0.2945,
      0.3533,
      0.0614,
      0.3067,
      0.3823,
      0.3118,
      0,
      0.3626,
      0.2208,
      0,
      0.4749,
      0,
      0.1651,
      0.2879,
      0.3217,
      0,
      0.129,
      0.3919,
      0.2631,
      0.2034,
      0.1747,
      0.2819,
      0.3391,
      0.2085,
      0.5573,
      0.2872,
      0.3406,
      0.3119,
      0.2104,
      0.259,
      0,
      0.1427,
      0.1514,
      0.2518,
      0.2632,
      0.2846,
      0.335,
      0,
      0.4883,
      0.3334,
      0.1755,
      0.3062,
      0.2315,
      0.2416,
      0.1572,
      0.2699,
      0.0898,
      0.2003,
      0.3192,
      0.1219,
      0.3885,
      0.1242,
      0.4587,
      0.3088,
      0.1805,
      0.4601,
      0.11,
      0.2859,
      0.1913,
      0.2694,
      0.2965,
      0.0552,
      0.3195,
      0.4007,
      0.3614,
      0.4118,
      0.3497,
      0.1685,
      0.2705,
      0.394,
      0.1697,
      0.2038,
      0.1979,
      0.1614,
      0.3456,
      0.0639,
      0.3686,
      0.248,
      0.3067,
      0.2553,
      0.3206,
      0.344,
      0.2276,
      0.5302,
      0.2755,
      0.2642,
      0.2662,
      0.1921,
      0.1251,
      0.1851,
      0.0823,
      0.2958,
      0.3193,
      0.1233,
      0.3713,
      0.379,
      0,
      0.4771,
      0.0969,
      0,
      0.0308,
      0.174,
      0.2747,
      0.1075,
      0.3383,
      0,
      0.1837,
      0.3303,
      0.1571,
      0.4046,
      0.0047,
      0.446,
      0.2796,
      0.0679,
      0.3046,
      0.0629,
      0.2121,
      0.1606,
      0.2014,
      0.2599,
      0.2132,
      0.2134,
      0.3627,
      0.3886,
      0.1899,
      0.451,
      0.1509,
      0.051,
      0.4404,
      0.2076,
      0.222,
      0.1825,
      0.2053,
      0.2246,
      0.2617,
      0.2879,
      0.1437,
      0.3607,
      0.2647,
      0.4013,
      0.0936,
      0.1421,
      0.4777,
      0.2197,
      0.1819,
      0,
      0.2639,
      0.3037,
      0.1075,
      0.3034,
      0.2891,
      0.2962,
      0.2907,
      0.2023,
      0.2342,
      0.1719,
      0.5134,
      0.0542,
      0.1791,
      0.3049,
      0.2496,
      0.2312,
      0,
      0.3001,
      0.3087,
      0.3024,
      0.2546,
      0.3287,
      0.2889,
      0.2155,
      0.5248,
      0.2975,
      0.2889,
      0.2288,
      0.2073,
      0.1925,
      0.2362,
      0.1895,
      0.1042,
      0.3013,
      0.1811,
      0.3094,
      0.2444,
      0.2008,
      0.5312,
      0.243,
      0.3027,
      0.3346,
      0.2574,
      0.2298,
      0.1226,
      0,
      0.2867,
      0.097,
      0.2835,
      0.1235,
      0.3312,
      0.2534,
      0.519,
      0.1195,
      0.0866,
      0.4812,
      0.2623,
      0.134,
      0.2394,
      0.111,
      0.1922,
      0.2653,
      0.269,
      0.3826,
      0.2985,
      0.3799,
      0.3476,
      0.2049,
      0.1949,
      0.4481,
      0.2085,
      0.1387,
      0.0756,
      0.1934,
      0.2449,
      0.1772,
      0.1215,
      0.1421,
      0.1051,
      0.0486,
      0.2616,
      0.082,
      0,
      0.5445,
      0.1193,
      0.1075,
      0.0864,
      0.2572,
      0.0298,
      0.1184,
      0.0642,
      0.1833,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2645,
      0.1063,
      0.2153,
      0.2686,
      0.2335,
      0.2218,
      0.0714,
      0.298,
      0.1213,
      0.1301,
      0.2194,
      0.2617,
      0.1752,
      0.1666,
      0.1986,
      0.1505,
      0.1224,
      0.3195,
      0.0393,
      0.1805,
      0.1789,
      0.2506,
      0.1748,
      0.0549,
      0.1943,
      0.2367,
      0.13,
      0.1434,
      0.086,
      0.2967,
      0.1673,
      0.259,
      0.2905,
      0.1748,
      0.3212,
      0.5335,
      0.0676,
      0.226,
      0.4569,
      0.4619,
      0.4551,
      0.274,
      0.2235,
      0.3456,
      0.3025,
      0.2482,
      0.1677,
      0.2132,
      0,
      0.5633,
      0.3481,
      0.1409,
      0.3839,
      0.3353,
      0.2481,
      0.3099,
      0.3518,
      0.3831,
      0.1801,
      0.3639,
      0.3525,
      0.3642,
      0,
      0.4069,
      0.2951,
      0,
      0.5164,
      0,
      0.1705,
      0.3427,
      0.3463,
      0.023,
      0.1631,
      0.4417,
      0.3549,
      0.2637,
      0.1668,
      0.255,
      0.3241,
      0.2443,
      0.554,
      0.3745,
      0.2555,
      0.2296,
      0.1702,
      0.3383,
      0,
      0.1019,
      0.2269,
      0.3112,
      0.2422,
      0.3383,
      0.4367,
      0.0413,
      0.5504,
      0.4062,
      0.2446,
      0.328,
      0.1899,
      0.2784,
      0.2253,
      0.3711,
      0.0796,
      0.0937,
      0.321,
      0.1443,
      0.4236,
      0.1388,
      0.4639,
      0.2333,
      0.1158,
      0.4452,
      0.1103,
      0.3708,
      0.1861,
      0.2939,
      0.3177,
      0.1142,
      0.3443,
      0.3748,
      0.4059,
      0.3422,
      0.3727,
      0.153,
      0.2012,
      0.4082,
      0.2202,
      0.2866,
      0.2655,
      0.1409,
      0.2605,
      0.2078,
      0.2842,
      0.2292,
      0.3811,
      0.2959,
      0.3302,
      0.423,
      0.4636,
      0.4751,
      0.3336,
      0.3312,
      0.3286,
      0.2177,
      0.2073,
      0.3411,
      0.2433,
      0.3601,
      0.2677,
      0.186,
      0.2845,
      0.4155,
      0,
      0.5505,
      0.2832,
      0,
      0.0027,
      0.174,
      0.3761,
      0.1014,
      0.3953,
      0,
      0.227,
      0.3254,
      0.0591,
      0.3977,
      0,
      0.4997,
      0.2668,
      0.0962,
      0.3251,
      0.0109,
      0.3111,
      0.1758,
      0.1765,
      0.2548,
      0.4091,
      0.2502,
      0.3041,
      0.4318,
      0.2735,
      0.4579,
      0.3683,
      0.133,
      0.4283,
      0.3397,
      0.3303,
      0.2164,
      0.2316,
      0.303,
      0.2375,
      0.3834,
      0.1685,
      0.3921,
      0.4377,
      0.3808,
      0.0702,
      0.1685,
      0.509,
      0.0573,
      0.2325,
      0.078,
      0.2724,
      0.2456,
      0.0778,
      0.2896,
      0.412,
      0.3409,
      0.2545,
      0.2348,
      0.2915,
      0.1968,
      0.5352,
      0.1489,
      0.2207,
      0.3816,
      0.2541,
      0.3475,
      0.0019,
      0.4278,
      0.1633,
      0.2693,
      0.3231,
      0.3233,
      0.4024,
      0.4805,
      0.5197,
      0.3405,
      0.3391,
      0.3483,
      0.1481,
      0.1812,
      0.343,
      0.3014,
      0.1912,
      0.273,
      0.1965,
      0.5276,
      0.2959,
      0.1508,
      0.5413,
      0.3804,
      0.3083,
      0.3308,
      0.2624,
      0.1426,
      0.1069,
      0,
      0.4303,
      0.0834,
      0.239,
      0.1451,
      0.3768,
      0.1161,
      0.4808,
      0.2212,
      0.0808,
      0.4661,
      0.2677,
      0.1646,
      0.1445,
      0.0561,
      0.2399,
      0.2237,
      0.3456,
      0.3641,
      0.375,
      0.3172,
      0.329,
      0.163,
      0.0982,
      0.5426,
      0.1403,
      0.2559,
      0.0221,
      0.1947,
      0.1636,
      0.1096,
      0.1004,
      0.1296,
      0.1348,
      0.0217,
      0.3009,
      0.0852,
      0.106,
      0.5229,
      0.1556,
      0.0711,
      0.1027,
      0.1583,
      0.0779,
      0.0729,
      0.1351,
      0.066,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1888,
      0.1812,
      0.2517,
      0.1993,
      0.3127,
      0.135,
      0.0767,
      0.1523,
      0.104,
      0.1464,
      0.169,
      0.4227,
      0.157,
      0.1077,
      0.1553,
      0.2235,
      0.0541,
      0.3166,
      0.0695,
      0.1838,
      0.0944,
      0.2194,
      0.1729,
      0.0619,
      0.2068,
      0.2102,
      0.183,
      0.188,
      0.1172,
      0.2742,
      0.179,
      0.2466,
      0.2045,
      0.1412,
      0.3289,
      0.5012,
      0.0238,
      0.2292,
      0.3174,
      0.45,
      0.2955,
      0.3619,
      0.2618,
      0.2631,
      0.303,
      0.2821,
      0.2154,
      0.1721,
      0,
      0.5097,
      0.3034,
      0.2782,
      0.345,
      0.1382,
      0.2983,
      0.3277,
      0.3452,
      0.332,
      0.1908,
      0.3812,
      0.4345,
      0.364,
      0,
      0.462,
      0.2777,
      0,
      0.5001,
      0,
      0.1912,
      0.4353,
      0.2651,
      0,
      0.1085,
      0.4562,
      0.2342,
      0.2564,
      0.1897,
      0.3623,
      0.3009,
      0.2747,
      0.4844,
      0.1943,
      0.159,
      0.3484,
      0.0957,
      0.3339,
      0,
      0.132,
      0.2517,
      0.2381,
      0.304,
      0.3328,
      0.2934,
      0.0536,
      0.544,
      0.1863,
      0.2063,
      0.2675,
      0.1726,
      0.2812,
      0.0522,
      0.3513,
      0.0948,
      0.1343,
      0.3517,
      0.1533,
      0.455,
      0.1062,
      0.476,
      0.2109,
      0.1099,
      0.4171,
      0.0802,
      0.3746,
      0.1833,
      0.2255,
      0.3215,
      0.0948,
      0.4045,
      0.4242,
      0.4807,
      0.3274,
      0.4867,
      0.1419,
      0.2629,
      0.3664,
      0.1759,
      0.2789,
      0.314,
      0.1374,
      0.2331,
      0.1784,
      0.3854,
      0.2565,
      0.3647,
      0.2495,
      0.381,
      0.2661,
      0.3061,
      0.4736,
      0.2484,
      0.2619,
      0.2693,
      0.1563,
      0.2239,
      0.1995,
      0.1015,
      0.3669,
      0.3255,
      0.1577,
      0.3751,
      0.3719,
      0,
      0.4997,
      0.1037,
      0,
      0.042,
      0.1769,
      0.4112,
      0.1155,
      0.4249,
      0,
      0.2149,
      0.292,
      0.132,
      0.4405,
      0,
      0.5179,
      0.2666,
      0.0299,
      0.284,
      0,
      0.3695,
      0.1915,
      0.1917,
      0.2176,
      0.141,
      0.2738,
      0.3782,
      0.4728,
      0.1586,
      0.5191,
      0.1892,
      0.052,
      0.3844,
      0.2324,
      0.3702,
      0.1795,
      0.2524,
      0.14,
      0.2983,
      0.4334,
      0.1806,
      0.4355,
      0.3473,
      0.4956,
      0.1327,
      0.0342,
      0.494,
      0.1328,
      0.2895,
      0.0472,
      0.15,
      0.2846,
      0.0849,
      0.3485,
      0.4509,
      0.3484,
      0.2757,
      0.3798,
      0.313,
      0.1916,
      0.5014,
      0.1736,
      0.264,
      0.2879,
      0.2495,
      0.3702,
      0,
      0.4662,
      0.3504,
      0.3012,
      0.2852,
      0.3285,
      0.254,
      0.2935,
      0.5061,
      0.1431,
      0.2527,
      0.307,
      0.2167,
      0.1807,
      0.1627,
      0.2375,
      0.2284,
      0.2033,
      0.2518,
      0.4193,
      0.2994,
      0.2307,
      0.545,
      0.2785,
      0.3617,
      0.2622,
      0.2039,
      0.1872,
      0.092,
      0,
      0.3053,
      0.1185,
      0.3227,
      0.2086,
      0.4043,
      0.2875,
      0.5093,
      0.2301,
      0.1042,
      0.4319,
      0.1431,
      0.2526,
      0.1642,
      0.101,
      0.3368,
      0.0955,
      0.3971,
      0.4647,
      0.3562,
      0.3348,
      0.4394,
      0.1713,
      0.1243,
      0.5112,
      0.2276,
      0.2682,
      0.0887,
      0.1542,
      0.1593,
      0.0158,
      0.0776,
      0.1946,
      0.1566,
      0.086,
      0.3666,
      0.2104,
      0.1047,
      0.4721,
      0.2264,
      0.1037,
      0.0323,
      0.226,
      0.0868,
      0.0317,
      0.1036,
      0.1491,
      0.0023,
      0,
      0,
      0,
      0,
      0,
      0.1976,
      0.1691,
      0.198,
      0.2279,
      0.3247,
      0.1925,
      0.1406,
      0.1738,
      0.1387,
      0.155,
      0.144,
      0.3583,
      0.0917,
      0.155,
      0.1287,
      0.2302,
      0.0757,
      0.3196,
      0.057,
      0.158,
      0.0821,
      0.2311,
      0.1373,
      0.0502,
      0.199,
      0.2067,
      0.2397,
      0.1671,
      0.1774,
      0.2497,
      0.2043,
      0.2538,
      0.2646,
      0.1017,
      0.2971,
      0.4855,
      0.0815,
      0.2107,
      0.2867,
      0.231,
      0.3338,
      0.2736,
      0.2041,
      0.3233,
      0.3138,
      0.2715,
      0.1744,
      0.1401,
      0,
      0.4567,
      0.3578,
      0.3456,
      0.3903,
      0.1401,
      0.2849,
      0.3407,
      0.3327,
      0.2958,
      0.1719,
      0.3775,
      0.3297,
      0.3169,
      0,
      0.4167,
      0.2512,
      0,
      0.4427,
      0,
      0.1892,
      0.4913,
      0.4119,
      0,
      0.1732,
      0.4057,
      0.2649,
      0.2477,
      0.1733,
      0.4011,
      0.2492,
      0.2986,
      0.4528,
      0.1539,
      0.1945,
      0.3066,
      0.2328,
      0.3096,
      0.0459,
      0.1355,
      0.2391,
      0.2985,
      0.2072,
      0.263,
      0.255,
      0.1085,
      0.4849,
      0.2656,
      0.2545,
      0.2992,
      0.2637,
      0.2629,
      0.1441,
      0.3344,
      0.0051,
      0.1131,
      0.3002,
      0.2301,
      0.3641,
      0.1481,
      0.4244,
      0.2243,
      0.0536,
      0.3775,
      0.0908,
      0.3279,
      0.1743,
      0.2167,
      0.3798,
      0.0735,
      0.3656,
      0.3538,
      0.4137,
      0.2912,
      0.4033,
      0.1629,
      0.2869,
      0.3637,
      0.3035,
      0.24,
      0.1515,
      0.1622,
      0.2342,
      0.2668,
      0.2497,
      0.2747,
      0.32,
      0.2461,
      0.372,
      0.2387,
      0.3586,
      0.4433,
      0.2988,
      0.2891,
      0.1547,
      0.2316,
      0.2841,
      0.1503,
      0.094,
      0.3353,
      0.2874,
      0.0477,
      0.3034,
      0.3763,
      0,
      0.4345,
      0.0657,
      0,
      0.1956,
      0.1988,
      0.3801,
      0.0473,
      0.401,
      0,
      0.2029,
      0.2365,
      0.2117,
      0.3969,
      0,
      0.49,
      0.2293,
      0.0082,
      0.3334,
      0.0091,
      0.326,
      0.2105,
      0.1913,
      0.3318,
      0.0788,
      0.2597,
      0.2513,
      0.3778,
      0.1009,
      0.4803,
      0.1773,
      0.0846,
      0.396,
      0.2508,
      0.3296,
      0.1823,
      0.251,
      0.1316,
      0.1842,
      0.2979,
      0.1893,
      0.3505,
      0.1326,
      0.4113,
      0.23,
      0.1836,
      0.4099,
      0.1066,
      0.2663,
      0.023,
      0.2225,
      0.3778,
      0.0642,
      0.3297,
      0.3759,
      0.3559,
      0.2723,
      0.3434,
      0.2442,
      0.3104,
      0.4451,
      0.117,
      0.2162,
      0.2986,
      0.2016,
      0.3655,
      0.0434,
      0.3668,
      0.332,
      0.2797,
      0.2833,
      0.3264,
      0.2256,
      0.3072,
      0.4788,
      0.2647,
      0.208,
      0.1771,
      0.2042,
      0.3,
      0.1407,
      0.1679,
      0.2282,
      0.2462,
      0.2397,
      0.3159,
      0.3766,
      0.2677,
      0.5034,
      0.2386,
      0.3128,
      0.3189,
      0.2741,
      0.1725,
      0.0985,
      0,
      0.2974,
      0.1195,
      0.2977,
      0.1961,
      0.3762,
      0.275,
      0.4724,
      0.1905,
      0.1014,
      0.3938,
      0.1857,
      0.1837,
      0.1319,
      0.1724,
      0.3086,
      0.2117,
      0.3682,
      0.3671,
      0.3309,
      0.3618,
      0.2959,
      0.2902,
      0.0995,
      0.4943,
      0.2622,
      0.2294,
      0.141,
      0.209,
      0.2124,
      0.1296,
      0.0641,
      0.1882,
      0.0744,
      0.0085,
      0.2972,
      0.1962,
      0.1395,
      0.4344,
      0.2731,
      0.1464,
      0.0599,
      0.25,
      0.0614,
      0.0647,
      0.1037,
      0.0486,
      0,
      0,
      0,
      0,
      0,
      0,
      0.209,
      0.208,
      0.2073,
      0.1651,
      0.3863,
      0.1396,
      0.0922,
      0.141,
      0.0966,
      0.0999,
      0.2344,
      0.3432,
      0.153,
      0.2262,
      0.209,
      0.1646,
      0.1543,
      0.3353,
      0.0021,
      0.0911,
      0.0808,
      0.2102,
      0.1298,
      0.0713,
      0.1694,
      0.2228,
      0.1939,
      0.1954,
      0.1318,
      0.2604,
      0.1974,
      0.1681,
      0.2006,
      0.0797,
      0.2219,
      0.4447,
      0.0345,
      0.3031,
      0.3344,
      0.2437,
      0.3691,
      0.4252,
      0.1832,
      0.3071,
      0.3302,
      0.3437,
      0.2426,
      0.3367,
      0.0633,
      0.5048,
      0.3158,
      0.341,
      0.4169,
      0.0773,
      0.2334,
      0.2622,
      0.3741,
      0.2982,
      0.2425,
      0.3463,
      0.3859,
      0.2841,
      0.0803,
      0.3545,
      0.1959,
      0,
      0.4919,
      0.153,
      0.1468,
      0.4513,
      0.4576,
      0,
      0.1816,
      0.3035,
      0.2719,
      0.3246,
      0.3094,
      0.4113,
      0.2719,
      0.274,
      0.513,
      0.1114,
      0.4187,
      0.3991,
      0.1765,
      0.2684,
      0.0736,
      0.1451,
      0.3272,
      0.2968,
      0.2007,
      0.3581,
      0.2458,
      0.1554,
      0.5179,
      0.2624,
      0.3291,
      0.2894,
      0.3068,
      0.2731,
      0.1188,
      0.2317,
      0,
      0.209,
      0.3195,
      0.2325,
      0.4044,
      0.121,
      0.4669,
      0.241,
      0.1344,
      0.3891,
      0.1025,
      0.2875,
      0.1234,
      0.2828,
      0.3596,
      0.146,
      0.2952,
      0.3478,
      0.3522,
      0.3201,
      0.4246,
      0.1779,
      0.3308,
      0.3894,
      0.2153,
      0.2202,
      0.1454,
      0.1504,
      0.2244,
      0.205,
      0.3059,
      0.2786,
      0.2987,
      0.2396,
      0.3649,
      0.1889,
      0.3246,
      0.4662,
      0.3007,
      0.2925,
      0.1416,
      0.1776,
      0.2144,
      0.2183,
      0.0361,
      0.3014,
      0.2613,
      0.2886,
      0.4143,
      0.3598,
      0,
      0.5068,
      0.0732,
      0,
      0.1949,
      0.2091,
      0.34,
      0.1195,
      0.3286,
      0,
      0.3618,
      0.303,
      0.2614,
      0.4019,
      0,
      0.5177,
      0.2619,
      0.0944,
      0.4293,
      0.1281,
      0.2882,
      0.3914,
      0.2006,
      0.3589,
      0,
      0.2226,
      0.3335,
      0.289,
      0.1038,
      0.49,
      0.1872,
      0.0901,
      0.4007,
      0.1744,
      0.3205,
      0.2592,
      0.2738,
      0.1739,
      0.2002,
      0.352,
      0.1198,
      0.3116,
      0.2103,
      0.4473,
      0.2484,
      0.0881,
      0.4747,
      0.1453,
      0.237,
      0.0382,
      0.2377,
      0.2533,
      0.11,
      0.2595,
      0.3533,
      0.2238,
      0.3219,
      0.3663,
      0.2436,
      0.135,
      0.4641,
      0.055,
      0.1935,
      0.2558,
      0.1781,
      0.3308,
      0.0582,
      0.311,
      0.2799,
      0.2623,
      0.3177,
      0.3453,
      0.225,
      0.2753,
      0.4732,
      0.3297,
      0.223,
      0.1642,
      0.3092,
      0.2836,
      0.2345,
      0.043,
      0.341,
      0.2743,
      0.2252,
      0.2284,
      0.4964,
      0.1196,
      0.4958,
      0.2445,
      0.3574,
      0.3182,
      0.3009,
      0.3048,
      0.3421,
      0.0107,
      0.3979,
      0.1302,
      0.2569,
      0.2132,
      0.3274,
      0.3044,
      0.4693,
      0.1823,
      0.0825,
      0.3983,
      0.2428,
      0.1909,
      0.1445,
      0.0879,
      0.2335,
      0.2224,
      0.329,
      0.3379,
      0.141,
      0.3077,
      0.4249,
      0.3111,
      0.1255,
      0.5283,
      0.2504,
      0.2154,
      0.1144,
      0.1282,
      0.2036,
      0.0013,
      0.0896,
      0.0987,
      0.0964,
      0.0156,
      0.3488,
      0.127,
      0.1179,
      0.4048,
      0.1897,
      0.0717,
      0.0811,
      0.1948,
      0.1278,
      0.0548,
      0.1303,
      0.1272,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2719,
      0.0767,
      0.1972,
      0.2187,
      0.3013,
      0.0926,
      0,
      0.1396,
      0.1519,
      0.1024,
      0.2607,
      0.2868,
      0.1408,
      0.1314,
      0.0855,
      0.1056,
      0.2134,
      0.3139,
      0.0969,
      0.1263,
      0.0476,
      0.2089,
      0.1377,
      0.0214,
      0.1889,
      0.1601,
      0.1937,
      0.153,
      0.1205,
      0.1999,
      0.0991,
      0.2218,
      0.2148,
      0.1087,
      0.1826,
      0.5091,
      0.0514,
      0.2915,
      0.3035,
      0.3364,
      0.2422,
      0.2249,
      0.2181,
      0.2676,
      0.2914,
      0.2434,
      0.1848,
      0.2133,
      0.0447,
      0.5055,
      0.3454,
      0.2108,
      0.3703,
      0.1171,
      0.2007,
      0.3128,
      0.2614,
      0.4046,
      0.1939,
      0.2704,
      0.34,
      0.2665,
      0.0559,
      0.4874,
      0.0836,
      0,
      0.4516,
      0.0252,
      0.1153,
      0.3769,
      0.249,
      0,
      0.2046,
      0.2841,
      0.2844,
      0.3685,
      0.2627,
      0.4003,
      0.3031,
      0.291,
      0.4885,
      0.1226,
      0.2656,
      0.3434,
      0.1848,
      0.1434,
      0,
      0.1573,
      0.2094,
      0.1368,
      0.2652,
      0.2912,
      0.2175,
      0.0607,
      0.526,
      0.2404,
      0.1898,
      0.267,
      0.2356,
      0.3049,
      0.1568,
      0.2471,
      0,
      0.1664,
      0.288,
      0.1456,
      0.3807,
      0.2352,
      0.446,
      0.2242,
      0.1493,
      0.4295,
      0.0855,
      0.2491,
      0.13,
      0.273,
      0.2985,
      0.0403,
      0.2399,
      0.3375,
      0.3013,
      0.3458,
      0.4829,
      0.1819,
      0.2144,
      0.3673,
      0.1772,
      0.2189,
      0.2036,
      0.2265,
      0.2211,
      0.1529,
      0.3164,
      0.3361,
      0.2441,
      0.1477,
      0.3864,
      0.2624,
      0.2924,
      0.4799,
      0.3541,
      0.2853,
      0.2016,
      0.2739,
      0.2535,
      0.245,
      0.1754,
      0.2219,
      0.3388,
      0.1972,
      0.3931,
      0.3047,
      0,
      0.4775,
      0.0578,
      0,
      0.0014,
      0.2031,
      0.1742,
      0.0952,
      0.2928,
      0,
      0.1802,
      0.3362,
      0.0726,
      0.3536,
      0,
      0.5505,
      0.2001,
      0.066,
      0.259,
      0.0617,
      0.2046,
      0.2444,
      0.0993,
      0.245,
      0.1007,
      0.1332,
      0.3215,
      0.3304,
      0.0614,
      0.4682,
      0.2484,
      0.1819,
      0.4302,
      0.2226,
      0.176,
      0.2516,
      0.2265,
      0.1122,
      0.2086,
      0.3085,
      0.1654,
      0.3197,
      0.2591,
      0.4631,
      0.1526,
      0.1641,
      0.4835,
      0.0726,
      0.1918,
      0.0345,
      0.2977,
      0.2716,
      0.0999,
      0.303,
      0.2749,
      0.1791,
      0.2976,
      0.3915,
      0.2092,
      0.1296,
      0.5262,
      0.1047,
      0.2461,
      0.3203,
      0.2111,
      0.3134,
      0.0623,
      0.3567,
      0.2885,
      0.311,
      0.3133,
      0.3607,
      0.1995,
      0.2591,
      0.5003,
      0.3179,
      0.1743,
      0.1689,
      0.3144,
      0.1889,
      0.2848,
      0.197,
      0.2582,
      0.3102,
      0.1865,
      0.2942,
      0.2758,
      0.1834,
      0.5486,
      0.2266,
      0.2778,
      0.2955,
      0.1682,
      0.2475,
      0.0868,
      0,
      0.2363,
      0.1497,
      0.2153,
      0.0953,
      0.2936,
      0.2838,
      0.5135,
      0.2352,
      0.1189,
      0.4439,
      0.1729,
      0.0973,
      0.1723,
      0.1119,
      0.2799,
      0.2542,
      0.1876,
      0.3423,
      0.2145,
      0.3109,
      0.4842,
      0.2869,
      0.1879,
      0.4602,
      0.2359,
      0.2162,
      0.1015,
      0.09,
      0.1381,
      0.0801,
      0.0726,
      0.2017,
      0.0253,
      0.053,
      0.3272,
      0.093,
      0.0774,
      0.5262,
      0.2329,
      0.0915,
      0.1038,
      0.1926,
      0.1195,
      0.1016,
      0.1388,
      0.1173,
      0.0217,
      0,
      0,
      0,
      0,
      0,
      0.2398,
      0.0642,
      0.1927,
      0.261,
      0.2443,
      0.1014,
      0,
      0.1384,
      0.1301,
      0.1123,
      0.2573,
      0.1968,
      0.0682,
      0.1401,
      0.0898,
      0.114,
      0.1029,
      0.2769,
      0.0604,
      0.1817,
      0.0962,
      0.2455,
      0.1407,
      0,
      0.2224,
      0.0958,
      0.122,
      0.1728,
      0.1116,
      0.1478,
      0.1481,
      0.2361,
      0.2273,
      0.1104,
      0.0708,
      0.5264,
      0.0462,
      0.3548,
      0.2924,
      0.2975,
      0.2519,
      0.2657,
      0.1383,
      0.2371,
      0.2614,
      0.2925,
      0.2038,
      0.1398,
      0.0292,
      0.4956,
      0.3712,
      0.2404,
      0.4545,
      0.1324,
      0.1673,
      0.3533,
      0.3297,
      0.4142,
      0.2458,
      0.2252,
      0.3144,
      0.3174,
      0.0349,
      0.5022,
      0.1657,
      0,
      0.4888,
      0,
      0.1765,
      0.2876,
      0.2707,
      0,
      0.1259,
      0.2924,
      0.307,
      0.2474,
      0.166,
      0.3764,
      0.2815,
      0.185,
      0.5094,
      0.1436,
      0.231,
      0.3583,
      0.2486,
      0.1802,
      0,
      0.0885,
      0.1406,
      0.2639,
      0.2135,
      0.3351,
      0.2332,
      0.0765,
      0.5233,
      0.2754,
      0.2455,
      0.3587,
      0.1622,
      0.2905,
      0.1286,
      0.3074,
      0.0426,
      0.1935,
      0.2088,
      0.0988,
      0.3195,
      0.1503,
      0.437,
      0.1954,
      0.1395,
      0.466,
      0.1289,
      0.254,
      0.1156,
      0.2261,
      0.2657,
      0.0958,
      0.298,
      0.3595,
      0.3354,
      0.3043,
      0.4804,
      0.2132,
      0.3185,
      0.4484,
      0.1543,
      0.2725,
      0.3584,
      0.229,
      0.166,
      0.0866,
      0.2197,
      0.2076,
      0.3256,
      0.1874,
      0.2782,
      0.2811,
      0.2293,
      0.5098,
      0.3445,
      0.2261,
      0.2352,
      0.2682,
      0.2341,
      0.2385,
      0.1691,
      0.3084,
      0.2851,
      0.1027,
      0.3041,
      0.2604,
      0,
      0.4825,
      0.0427,
      0,
      0,
      0.2617,
      0.2254,
      0.1711,
      0.3513,
      0,
      0.1763,
      0.3127,
      0.1816,
      0.3523,
      0,
      0.5327,
      0.2178,
      0,
      0.3803,
      0.0949,
      0.1817,
      0.1479,
      0.1513,
      0.2248,
      0.1437,
      0.18,
      0.1911,
      0.3548,
      0.1228,
      0.398,
      0.2057,
      0.1761,
      0.4862,
      0.1771,
      0.2105,
      0.1852,
      0.2158,
      0.1453,
      0.2073,
      0.2218,
      0.13,
      0.3789,
      0.2074,
      0.4536,
      0.0866,
      0.0931,
      0.4958,
      0.0483,
      0.1843,
      0.0888,
      0.2163,
      0.3097,
      0.0908,
      0.2708,
      0.2831,
      0.3392,
      0.2936,
      0.3159,
      0.1513,
      0.1123,
      0.5167,
      0.0697,
      0.2114,
      0.292,
      0.1609,
      0.3241,
      0.0215,
      0.3306,
      0.2337,
      0.3119,
      0.3416,
      0.264,
      0.273,
      0.1722,
      0.4991,
      0.3708,
      0.2354,
      0.2677,
      0.2688,
      0.2092,
      0.229,
      0.161,
      0.0957,
      0.296,
      0.1653,
      0.3108,
      0.2403,
      0.1993,
      0.5392,
      0.2357,
      0.3118,
      0.349,
      0.2122,
      0.2175,
      0.166,
      0,
      0.3039,
      0.1142,
      0.2102,
      0.1777,
      0.3693,
      0.1814,
      0.4827,
      0.3769,
      0.1287,
      0.4835,
      0.2833,
      0.1489,
      0.1957,
      0.1717,
      0.2178,
      0.2361,
      0.2446,
      0.3651,
      0.2968,
      0.3021,
      0.4612,
      0.2359,
      0.2014,
      0.5038,
      0.2017,
      0.1871,
      0.086,
      0.1373,
      0.1023,
      0.1313,
      0.0736,
      0.259,
      0.1965,
      0.1084,
      0.2462,
      0.0823,
      0.0651,
      0.5317,
      0.2292,
      0.1331,
      0.107,
      0.1454,
      0.0966,
      0.1319,
      0.1506,
      0.1678,
      0,
      0,
      0,
      0,
      0,
      0,
      0.217,
      0.0859,
      0.2054,
      0.1984,
      0.1196,
      0.1814,
      0.1099,
      0.2489,
      0.076,
      0.0367,
      0.1768,
      0.2801,
      0.0609,
      0.1064,
      0.1284,
      0.0999,
      0.0839,
      0.2627,
      0.0457,
      0.2125,
      0.1566,
      0.2122,
      0.1531,
      0,
      0.1637,
      0.1987,
      0.2174,
      0.1093,
      0.074,
      0.1729,
      0.2005,
      0.2284,
      0.2044,
      0.076,
      0.1325,
      0.4588,
      0.0755,
      0.27,
      0.3068,
      0.2768,
      0.3829,
      0.3145,
      0.1953,
      0.3282,
      0.2416,
      0.3232,
      0.1793,
      0.1321,
      0,
      0.4388,
      0.3501,
      0.2022,
      0.437,
      0.1216,
      0.2511,
      0.316,
      0.3168,
      0.3952,
      0.2039,
      0.2979,
      0.3468,
      0.409,
      0,
      0.3344,
      0.1555,
      0,
      0.4528,
      0,
      0.1011,
      0.2852,
      0.2742,
      0,
      0.1254,
      0.3891,
      0.22,
      0.2917,
      0.1756,
      0.309,
      0.2845,
      0.1227,
      0.5545,
      0.1712,
      0.2626,
      0.3834,
      0.1937,
      0.2279,
      0,
      0.1211,
      0.2179,
      0.2689,
      0.2204,
      0.3442,
      0.1939,
      0.0132,
      0.4551,
      0.4086,
      0.2019,
      0.3175,
      0.2086,
      0.212,
      0.185,
      0.4023,
      0.0545,
      0.1563,
      0.2589,
      0.1173,
      0.4056,
      0.2514,
      0.3795,
      0.1361,
      0.0969,
      0.4207,
      0.0708,
      0.3534,
      0.1025,
      0.2207,
      0.2183,
      0.0825,
      0.3342,
      0.3765,
      0.4539,
      0.2972,
      0.2978,
      0.139,
      0.2168,
      0.4073,
      0.1905,
      0.2366,
      0.1893,
      0.1698,
      0.1785,
      0.1684,
      0.2526,
      0.249,
      0.4146,
      0.1598,
      0.2867,
      0.314,
      0.2469,
      0.4739,
      0.2548,
      0.3248,
      0.2238,
      0.2786,
      0.2355,
      0.348,
      0.1128,
      0.3969,
      0.2954,
      0.1141,
      0.2314,
      0.3354,
      0,
      0.454,
      0.0381,
      0,
      0,
      0.2802,
      0.3324,
      0.0433,
      0.4284,
      0,
      0.2072,
      0.3506,
      0.1352,
      0.4051,
      0,
      0.4924,
      0.3044,
      0.0171,
      0.319,
      0.0031,
      0.2789,
      0.1592,
      0.1956,
      0.2555,
      0.1855,
      0.1945,
      0.2446,
      0.3898,
      0.0835,
      0.3171,
      0.2022,
      0.0631,
      0.4319,
      0.2656,
      0.2606,
      0.0515,
      0.222,
      0.1747,
      0.2008,
      0.2943,
      0.1646,
      0.4283,
      0.247,
      0.3814,
      0.0769,
      0.1179,
      0.4945,
      0.0635,
      0.2178,
      0,
      0.1472,
      0.1931,
      0.0334,
      0.3075,
      0.4256,
      0.4239,
      0.2733,
      0.2916,
      0.1147,
      0.1483,
      0.4792,
      0.1369,
      0.229,
      0.1817,
      0.1588,
      0.2802,
      0,
      0.4449,
      0.1886,
      0.3091,
      0.3087,
      0.2165,
      0.3407,
      0.2217,
      0.417,
      0.2689,
      0.3322,
      0.2033,
      0.2548,
      0.2742,
      0.2933,
      0.1889,
      0.1988,
      0.3,
      0.141,
      0.2747,
      0.196,
      0.3316,
      0.4998,
      0.3899,
      0.2672,
      0.3201,
      0.2605,
      0.2528,
      0.1566,
      0,
      0.2697,
      0.0357,
      0.2274,
      0.096,
      0.4368,
      0.2285,
      0.4039,
      0.3909,
      0.1845,
      0.4598,
      0.1704,
      0.1629,
      0.1106,
      0.128,
      0.1995,
      0.2232,
      0.2638,
      0.3875,
      0.3836,
      0.2731,
      0.3773,
      0.2368,
      0.1714,
      0.5009,
      0.1701,
      0.1166,
      0.076,
      0.1204,
      0.1961,
      0.0823,
      0.0513,
      0.1838,
      0.153,
      0.0982,
      0.2527,
      0.0731,
      0.066,
      0.4825,
      0.2376,
      0.0826,
      0.1213,
      0.184,
      0.1083,
      0.1209,
      0.0968,
      0.1013,
      0.0309,
      0,
      0,
      0,
      0,
      0,
      0.2093,
      0.0998,
      0.1819,
      0.1758,
      0.104,
      0.1484,
      0.098,
      0.2272,
      0.0916,
      0.0915,
      0.1983,
      0.1618,
      0.1344,
      0.122,
      0.2043,
      0.1167,
      0.1261,
      0.2412,
      0.0147,
      0.1899,
      0.1583,
      0.206,
      0.1424,
      0.0075,
      0.1026,
      0.2321,
      0.1255,
      0.1533,
      0.153,
      0.1291,
      0.1585,
      0.2258,
      0.1872,
      0.0792,
      0.232,
      0.494,
      0.0601,
      0.2289,
      0.2849,
      0.5077,
      0.4406,
      0.2642,
      0.2609,
      0.2822,
      0.2762,
      0.2495,
      0.2161,
      0.1956,
      0,
      0.4696,
      0.3174,
      0.1174,
      0.3891,
      0.3432,
      0.2276,
      0.3624,
      0.3867,
      0.3915,
      0.2516,
      0.2876,
      0.3023,
      0.3351,
      0,
      0.3559,
      0.1817,
      0,
      0.4676,
      0,
      0.1844,
      0.2101,
      0.323,
      0,
      0.1806,
      0.3397,
      0.3105,
      0.121,
      0.22,
      0.302,
      0.2374,
      0.1804,
      0.5175,
      0.2664,
      0.2989,
      0.3507,
      0.2233,
      0.201,
      0,
      0.1194,
      0.1818,
      0.2851,
      0.2998,
      0.258,
      0.308,
      0.0618,
      0.4289,
      0.1324,
      0.1571,
      0.2955,
      0.2015,
      0.2785,
      0.0589,
      0.2651,
      0.0988,
      0.1876,
      0.2206,
      0.1234,
      0.3401,
      0.1962,
      0.4075,
      0.1306,
      0.1063,
      0.4134,
      0.1888,
      0.2129,
      0.1341,
      0.1912,
      0.2644,
      0.0647,
      0.3895,
      0.2993,
      0.2769,
      0.2727,
      0.2977,
      0.1858,
      0.1388,
      0.3625,
      0.14,
      0.2049,
      0.1301,
      0.1613,
      0.3069,
      0.1923,
      0.2612,
      0.2431,
      0.299,
      0.2145,
      0.2372,
      0.1996,
      0.4732,
      0.4825,
      0.2933,
      0.2484,
      0.3169,
      0.3143,
      0.3185,
      0.3104,
      0.0843,
      0.2856,
      0.2384,
      0.1425,
      0.3289,
      0.3267,
      0,
      0.455,
      0.0854,
      0,
      0.0413,
      0.1998,
      0.3189,
      0.0652,
      0.2741,
      0,
      0.2483,
      0.2943,
      0.2776,
      0.3432,
      0,
      0.4557,
      0.2165,
      0.0535,
      0.3003,
      0.0573,
      0.2868,
      0.1925,
      0.1653,
      0.1655,
      0.2679,
      0.1085,
      0.1701,
      0.3428,
      0.0994,
      0.3733,
      0.1239,
      0.0922,
      0.4415,
      0.2136,
      0.2889,
      0.0996,
      0.1306,
      0.2056,
      0.2204,
      0.3085,
      0.1082,
      0.3158,
      0.4422,
      0.3666,
      0.1122,
      0.1444,
      0.471,
      0.1627,
      0.2083,
      0.0218,
      0.1395,
      0.1608,
      0.1076,
      0.2672,
      0.3841,
      0.275,
      0.2664,
      0.2568,
      0.171,
      0.1158,
      0.49,
      0.0074,
      0.1699,
      0.169,
      0.1748,
      0.2895,
      0.0104,
      0.3657,
      0.1942,
      0.2396,
      0.322,
      0.2864,
      0.1735,
      0.4602,
      0.3875,
      0.1048,
      0.3108,
      0.3091,
      0.1993,
      0.2837,
      0.3137,
      0.1945,
      0.1843,
      0.1911,
      0.1549,
      0.4358,
      0.2529,
      0.1927,
      0.445,
      0.351,
      0.346,
      0.2398,
      0.2437,
      0.1847,
      0.0769,
      0,
      0.3486,
      0.0266,
      0.2525,
      0.236,
      0.3001,
      0.2446,
      0.4107,
      0.1779,
      0.1574,
      0.4646,
      0.139,
      0.1914,
      0.1461,
      0.1485,
      0.2088,
      0.1834,
      0.277,
      0.3395,
      0.2555,
      0.3447,
      0.3483,
      0.2202,
      0.1645,
      0.4897,
      0.1714,
      0.1947,
      0.0995,
      0.0619,
      0.1529,
      0.0622,
      0.015,
      0.1744,
      0.1466,
      0,
      0.2527,
      0.007,
      0.0054,
      0.4675,
      0.2404,
      0.1291,
      0.1155,
      0.1144,
      0.0857,
      0.0796,
      0.0801,
      0.1454,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2472,
      0,
      0.1609,
      0.2419,
      0.1565,
      0.1338,
      0.0081,
      0.1491,
      0.0263,
      0.0475,
      0.1835,
      0.1728,
      0.0711,
      0.1573,
      0.1152,
      0.1231,
      0.2147,
      0.2567,
      0.0406,
      0.1034,
      0.178,
      0.17,
      0.0903,
      0,
      0.1964,
      0.1934,
      0.0928,
      0.1339,
      0.1466,
      0.2496,
      0.2693,
      0.2122,
      0.2759,
      0.092,
      0.3106,
      0.4912,
      0.0492,
      0.175,
      0.2999,
      0.3899,
      0.2468,
      0.3709,
      0.2698,
      0.29,
      0.3502,
      0.361,
      0.2247,
      0.2669,
      0,
      0.4942,
      0.2898,
      0.2526,
      0.4398,
      0.1558,
      0.251,
      0.2985,
      0.3103,
      0.4295,
      0.2863,
      0.3369,
      0.3438,
      0.4086,
      0,
      0.4212,
      0.2729,
      0,
      0.4757,
      0,
      0.1419,
      0.3161,
      0.377,
      0.1676,
      0.1852,
      0.3422,
      0.2601,
      0.2013,
      0.2606,
      0.3153,
      0.2507,
      0.2144,
      0.5313,
      0.3714,
      0.3294,
      0.3449,
      0.2913,
      0.4215,
      0,
      0.1448,
      0.19,
      0.2594,
      0.2459,
      0.3535,
      0.4519,
      0.1282,
      0.5165,
      0.1119,
      0.287,
      0.3563,
      0.318,
      0.1652,
      0.0751,
      0.2865,
      0.0656,
      0.2343,
      0.2839,
      0.1641,
      0.3945,
      0.1801,
      0.4396,
      0.1449,
      0.1539,
      0.4914,
      0.1791,
      0.3031,
      0.068,
      0.1884,
      0.2677,
      0.0144,
      0.3553,
      0.4192,
      0.3663,
      0.2669,
      0.3701,
      0.1673,
      0.2314,
      0.432,
      0.2069,
      0.1505,
      0.2664,
      0.1356,
      0.1924,
      0.152,
      0.2769,
      0.2998,
      0.3174,
      0.1974,
      0.2051,
      0.1879,
      0.2549,
      0.4727,
      0.3904,
      0.1661,
      0.2719,
      0.2414,
      0.2702,
      0.2441,
      0.2855,
      0.3347,
      0.3026,
      0.1278,
      0.3183,
      0.3962,
      0.0244,
      0.444,
      0.3116,
      0,
      0.0117,
      0.1374,
      0.3501,
      0.0861,
      0.3914,
      0,
      0.279,
      0.2516,
      0.2135,
      0.3941,
      0,
      0.4698,
      0.2649,
      0.1761,
      0.3542,
      0.0737,
      0.3199,
      0.2702,
      0.1408,
      0.1683,
      0.4996,
      0.1868,
      0.2658,
      0.4004,
      0.2825,
      0.418,
      0.4373,
      0.1313,
      0.4471,
      0.4222,
      0.3254,
      0.0566,
      0.1717,
      0.2701,
      0.2928,
      0.3356,
      0.2358,
      0.3809,
      0.2631,
      0.3998,
      0.2013,
      0.1956,
      0.4727,
      0.1106,
      0.2354,
      0.0264,
      0.2412,
      0.1572,
      0.0053,
      0.3751,
      0.4461,
      0.3251,
      0.2427,
      0.1522,
      0.1934,
      0.1172,
      0.4594,
      0.0357,
      0.2251,
      0.2177,
      0.156,
      0.3171,
      0.0002,
      0.3974,
      0.2539,
      0.2713,
      0.3767,
      0.3203,
      0.174,
      0.1944,
      0.4616,
      0.3908,
      0.2579,
      0.1864,
      0.3329,
      0.2567,
      0.1761,
      0.2862,
      0.1206,
      0.2674,
      0.1544,
      0.2289,
      0.168,
      0.2138,
      0.4958,
      0.2678,
      0.4485,
      0.3558,
      0.3807,
      0.2413,
      0.1039,
      0,
      0.2571,
      0.0256,
      0.249,
      0.1867,
      0.4081,
      0.1695,
      0.4677,
      0.148,
      0.0693,
      0.4648,
      0.2341,
      0.2239,
      0.192,
      0.1422,
      0.0957,
      0.1215,
      0.3376,
      0.3488,
      0.3338,
      0.3964,
      0.3689,
      0.1697,
      0.1769,
      0.4102,
      0.1784,
      0.2093,
      0.0355,
      0.0498,
      0.1366,
      0.0907,
      0.0656,
      0.1351,
      0.1621,
      0.0546,
      0.1942,
      0.01,
      0,
      0.4577,
      0.3355,
      0.096,
      0.1322,
      0.1453,
      0.1281,
      0.1013,
      0.1236,
      0.1462,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2547,
      0.0373,
      0.2506,
      0.1896,
      0.1615,
      0.1451,
      0.0502,
      0.175,
      0.0043,
      0.0188,
      0.2202,
      0.2438,
      0.1627,
      0.1759,
      0.1481,
      0.0383,
      0.1721,
      0.1959,
      0,
      0.1175,
      0.115,
      0.1959,
      0.0444,
      0,
      0.2588,
      0.188,
      0.1434,
      0.1239,
      0.175,
      0.3566,
      0.177,
      0.2761,
      0.2178,
      0.2005,
      0.2714,
      0.4584,
      0,
      0.1654,
      0.2582,
      0.2172,
      0.2226,
      0.3176,
      0.2035,
      0.2422,
      0.3442,
      0.2787,
      0.1958,
      0.2088,
      0,
      0.4653,
      0.3788,
      0.3163,
      0.4011,
      0.2041,
      0.2744,
      0.3571,
      0.3193,
      0.2807,
      0.2444,
      0.3554,
      0.3372,
      0.2834,
      0.0075,
      0.3682,
      0.2442,
      0,
      0.4405,
      0,
      0.1715,
      0.4175,
      0.3433,
      0,
      0.072,
      0.4207,
      0.271,
      0.1492,
      0.2333,
      0.3381,
      0.2723,
      0.2794,
      0.5124,
      0.175,
      0.1894,
      0.3185,
      0.2287,
      0.2845,
      0,
      0.1005,
      0.1148,
      0.2468,
      0.1693,
      0.2626,
      0.3157,
      0.141,
      0.4718,
      0.1463,
      0.1589,
      0.3234,
      0.2885,
      0.2012,
      0.1126,
      0.2471,
      0,
      0.1307,
      0.3216,
      0.1361,
      0.4317,
      0.0898,
      0.4565,
      0.1624,
      0.143,
      0.4373,
      0.0694,
      0.2859,
      0.0831,
      0.2114,
      0.2611,
      0.0267,
      0.3349,
      0.3913,
      0.3165,
      0.276,
      0.366,
      0.1991,
      0.2279,
      0.3928,
      0.2076,
      0.1337,
      0.2707,
      0.1986,
      0.2583,
      0.2511,
      0.3125,
      0.2012,
      0.165,
      0.1681,
      0.3308,
      0.1861,
      0.2616,
      0.4878,
      0.2674,
      0.2657,
      0.2623,
      0.227,
      0.2464,
      0.1637,
      0.1963,
      0.197,
      0.2709,
      0.1357,
      0.3462,
      0.3722,
      0,
      0.4604,
      0.2108,
      0,
      0.0496,
      0.2386,
      0.3721,
      0.0772,
      0.3465,
      0,
      0.2649,
      0.2544,
      0.2254,
      0.4267,
      0.0232,
      0.4422,
      0.2871,
      0.1512,
      0.3411,
      0.087,
      0.3093,
      0.1254,
      0.1491,
      0.3322,
      0.1905,
      0.2621,
      0.3346,
      0.4332,
      0.1013,
      0.4126,
      0.2185,
      0.1649,
      0.4322,
      0.2079,
      0.3219,
      0.1575,
      0.1798,
      0.1358,
      0.218,
      0.3591,
      0.2306,
      0.305,
      0.2458,
      0.4311,
      0.0919,
      0.1846,
      0.4531,
      0.019,
      0.1997,
      0.0778,
      0.1619,
      0.1997,
      0.1414,
      0.274,
      0.3564,
      0.1937,
      0.2152,
      0.235,
      0.2598,
      0.126,
      0.4507,
      0.0414,
      0.2057,
      0.2908,
      0.1959,
      0.348,
      0.0078,
      0.3731,
      0.2049,
      0.2004,
      0.304,
      0.2689,
      0.196,
      0.2144,
      0.4285,
      0.2724,
      0.249,
      0.2863,
      0.2884,
      0.3085,
      0.189,
      0.2044,
      0.1726,
      0.2165,
      0.2285,
      0.2787,
      0.254,
      0.2198,
      0.4454,
      0.3096,
      0.3521,
      0.2909,
      0.2056,
      0.2073,
      0.1444,
      0,
      0.2375,
      0.0921,
      0.2731,
      0.0891,
      0.3448,
      0.2426,
      0.4642,
      0.2429,
      0.0583,
      0.433,
      0.205,
      0.1863,
      0.1706,
      0.2411,
      0.2563,
      0.1156,
      0.3758,
      0.3433,
      0.2434,
      0.4084,
      0.415,
      0.2287,
      0.182,
      0.4498,
      0.2528,
      0.2065,
      0.1246,
      0.1586,
      0.0839,
      0.1442,
      0.0639,
      0.1392,
      0.1307,
      0.1769,
      0.2799,
      0,
      0.0105,
      0.4354,
      0.2742,
      0.0708,
      0.1289,
      0.207,
      0.1022,
      0.079,
      0.1281,
      0.1005,
      0.0055,
      0,
      0,
      0,
      0,
      0,
      0.2194,
      0.0953,
      0.2132,
      0.2113,
      0.206,
      0.1698,
      0.0024,
      0.2506,
      0.093,
      0.0725,
      0.2826,
      0.2587,
      0.1631,
      0.2248,
      0.1975,
      0.0268,
      0.1564,
      0.2367,
      0.0204,
      0.1929,
      0.028,
      0.2519,
      0.1199,
      0.0294,
      0.1743,
      0.1568,
      0.176,
      0.0081,
      0.1817,
      0.2146,
      0.1552,
      0.2572,
      0.1973,
      0.1552,
      0.1759,
      0.3631,
      0.0459,
      0.1784,
      0.2927,
      0.223,
      0.2376,
      0.2375,
      0.2018,
      0.2541,
      0.3175,
      0.2738,
      0.3081,
      0.2892,
      0,
      0.3931,
      0.3716,
      0.3462,
      0.4267,
      0.137,
      0.3531,
      0.3474,
      0.3438,
      0.2929,
      0.4154,
      0.4641,
      0.2902,
      0.2555,
      0.1024,
      0.425,
      0.3063,
      0,
      0.5102,
      0.2472,
      0.1753,
      0.4788,
      0.4409,
      0,
      0.1427,
      0.4862,
      0.2561,
      0.298,
      0.3751,
      0.2317,
      0.3296,
      0.3505,
      0.5259,
      0.1538,
      0.1503,
      0.3958,
      0.2176,
      0.3861,
      0,
      0.0994,
      0.1693,
      0.2804,
      0.239,
      0.2042,
      0.2149,
      0.2388,
      0.4124,
      0.1692,
      0.0895,
      0.2621,
      0.2431,
      0.1904,
      0.114,
      0.1887,
      0,
      0.2404,
      0.3771,
      0.0676,
      0.5013,
      0.2037,
      0.3819,
      0.1979,
      0.2044,
      0.462,
      0.059,
      0.4364,
      0.2289,
      0.2851,
      0.3488,
      0.0563,
      0.4634,
      0.3589,
      0.438,
      0.2372,
      0.3046,
      0.3046,
      0.3,
      0.3222,
      0.254,
      0.2076,
      0.1609,
      0.1718,
      0.1741,
      0.2287,
      0.2706,
      0.2737,
      0.1979,
      0.1995,
      0.2957,
      0.1465,
      0.2344,
      0.4697,
      0.3105,
      0.2855,
      0.2119,
      0.2968,
      0.2759,
      0.1245,
      0.1519,
      0.2796,
      0.2605,
      0.2988,
      0.4204,
      0.4708,
      0,
      0.4622,
      0.0426,
      0,
      0.2022,
      0.2463,
      0.4857,
      0.1083,
      0.3764,
      0,
      0.3781,
      0.2782,
      0.2213,
      0.4876,
      0.012,
      0.4052,
      0.3208,
      0.0502,
      0.4213,
      0.0918,
      0.4462,
      0.3821,
      0.2269,
      0.3407,
      0.1038,
      0.3581,
      0.3369,
      0.491,
      0.0492,
      0.3941,
      0.2398,
      0.1259,
      0.4564,
      0.2042,
      0.4613,
      0.2065,
      0.2179,
      0.2041,
      0.2018,
      0.2776,
      0.1678,
      0.2693,
      0.2868,
      0.3596,
      0.0056,
      0.1499,
      0.4121,
      0.032,
      0.3031,
      0,
      0.0972,
      0.36,
      0.1392,
      0.4642,
      0.332,
      0.3052,
      0.2331,
      0.2807,
      0.3352,
      0.1976,
      0.4462,
      0.0585,
      0.2144,
      0.3206,
      0.1909,
      0.4366,
      0.0705,
      0.3689,
      0.2125,
      0.2749,
      0.295,
      0.2805,
      0.1538,
      0.2244,
      0.4517,
      0.3377,
      0.1578,
      0.165,
      0.2618,
      0.311,
      0.2366,
      0.1757,
      0.286,
      0.1947,
      0.3369,
      0.2869,
      0.4363,
      0.1934,
      0.444,
      0.2908,
      0.3123,
      0.2571,
      0.2643,
      0.2577,
      0.2861,
      0,
      0.3659,
      0.0213,
      0.395,
      0.0677,
      0.3678,
      0.2679,
      0.4243,
      0.1108,
      0.0983,
      0.4604,
      0.2416,
      0.3016,
      0.279,
      0.1805,
      0.3404,
      0.1096,
      0.4707,
      0.3035,
      0.2443,
      0.3921,
      0.3888,
      0.1689,
      0.1499,
      0.496,
      0.1455,
      0.2455,
      0.1507,
      0.1736,
      0.0924,
      0.1633,
      0.1005,
      0.1798,
      0.1602,
      0.1637,
      0.2291,
      0.0001,
      0.0385,
      0.3946,
      0.2741,
      0.0496,
      0.1086,
      0.1918,
      0.0946,
      0.0392,
      0.1796,
      0.1303,
      0.0451,
      0,
      0,
      0,
      0,
      0,
      0.2051,
      0.1423,
      0.1574,
      0.2771,
      0.2992,
      0.0567,
      0.0823,
      0.2121,
      0.1742,
      0.1027,
      0.3722,
      0.3267,
      0.1592,
      0.1769,
      0.1909,
      0.0014,
      0.1592,
      0.2691,
      0.0228,
      0.1051,
      0.0943,
      0.2303,
      0.0758,
      0.0941,
      0.2205,
      0.1268,
      0.1567,
      0.1152,
      0.1833,
      0.1636,
      0.1202,
      0.1693,
      0.2638,
      0.1307,
      0.1974,
      0.4249,
      0.0411,
      0.2086,
      0.2157,
      0.3316,
      0.2089,
      0.1239,
      0.2529,
      0.2926,
      0.2607,
      0.2667,
      0.2084,
      0.1585,
      0,
      0.4192,
      0.3467,
      0.2781,
      0.3574,
      0.154,
      0.3517,
      0.3687,
      0.3838,
      0.3712,
      0.3425,
      0.4201,
      0.3386,
      0.366,
      0.061,
      0.4127,
      0.2825,
      0,
      0.4825,
      0.0714,
      0.1819,
      0.5242,
      0.3171,
      0.0061,
      0.1795,
      0.4489,
      0.2537,
      0.38,
      0.3716,
      0.365,
      0.2805,
      0.3036,
      0.4552,
      0.1647,
      0.198,
      0.34,
      0.2803,
      0.3637,
      0,
      0.0581,
      0.1602,
      0.2259,
      0.2547,
      0.2607,
      0.2691,
      0.1928,
      0.4465,
      0.2074,
      0.085,
      0.3116,
      0.2695,
      0.2247,
      0.1666,
      0.3115,
      0,
      0.3037,
      0.3528,
      0.1595,
      0.4495,
      0.3017,
      0.3981,
      0.2741,
      0.1171,
      0.4828,
      0.1049,
      0.3908,
      0.2011,
      0.3174,
      0.2514,
      0.0616,
      0.3996,
      0.4185,
      0.3879,
      0.2962,
      0.39,
      0.2961,
      0.2296,
      0.4021,
      0.2,
      0.1993,
      0.1173,
      0.2033,
      0.218,
      0.2295,
      0.2407,
      0.3225,
      0.3174,
      0.1884,
      0.3514,
      0.2243,
      0.2271,
      0.4909,
      0.2917,
      0.2162,
      0.1834,
      0.2836,
      0.2566,
      0.2281,
      0.21,
      0.3318,
      0.2002,
      0.2401,
      0.3785,
      0.409,
      0,
      0.4587,
      0.1011,
      0,
      0.2397,
      0.1932,
      0.4244,
      0.1445,
      0.4183,
      0,
      0.3118,
      0.2182,
      0.2138,
      0.46,
      0,
      0.3764,
      0.287,
      0.0585,
      0.3604,
      0.1238,
      0.3889,
      0.1588,
      0.1836,
      0.295,
      0.0828,
      0.3443,
      0.2806,
      0.4567,
      0.1687,
      0.3711,
      0.211,
      0.192,
      0.4913,
      0.2332,
      0.3991,
      0.1996,
      0.1912,
      0.1548,
      0.2017,
      0.3207,
      0.1862,
      0.3681,
      0.2506,
      0.3793,
      0.0736,
      0.1189,
      0.4559,
      0.0212,
      0.3161,
      0.0614,
      0.223,
      0.2488,
      0.145,
      0.4251,
      0.3836,
      0.301,
      0.3134,
      0.3641,
      0.3218,
      0.117,
      0.4508,
      0.1602,
      0.1697,
      0.2738,
      0.192,
      0.415,
      0.0249,
      0.4307,
      0.276,
      0.2758,
      0.3495,
      0.2929,
      0.2585,
      0.284,
      0.3728,
      0.2434,
      0.2612,
      0.1633,
      0.2172,
      0.2147,
      0.2521,
      0.1914,
      0.206,
      0.1715,
      0.2082,
      0.3119,
      0.3249,
      0.1706,
      0.4111,
      0.3074,
      0.3701,
      0.3005,
      0.2237,
      0.2831,
      0.1059,
      0,
      0.3239,
      0.0505,
      0.3721,
      0.1983,
      0.4337,
      0.1509,
      0.4454,
      0.1881,
      0.0519,
      0.458,
      0.2809,
      0.2841,
      0.2497,
      0.1749,
      0.2846,
      0.2084,
      0.4229,
      0.3785,
      0.3183,
      0.3806,
      0.4009,
      0.2265,
      0.1225,
      0.426,
      0.1788,
      0.1767,
      0.0987,
      0.1694,
      0.1701,
      0.142,
      0.0831,
      0.192,
      0.1541,
      0.1279,
      0.3556,
      0,
      0,
      0.3576,
      0.2297,
      0.0958,
      0.1156,
      0.164,
      0.0738,
      0,
      0.17,
      0.1038,
      0.0039,
      0,
      0,
      0,
      0,
      0,
      0.2065,
      0.112,
      0.2185,
      0.2192,
      0.3174,
      0.1629,
      0.03,
      0.1807,
      0.1362,
      0.1595,
      0.3681,
      0.2513,
      0.2006,
      0.1064,
      0.216,
      0.0062,
      0.2376,
      0.1521,
      0,
      0.1653,
      0.1257,
      0.0943,
      0.1673,
      0.0479,
      0.2224,
      0.0062,
      0.1265,
      0.1166,
      0.2104,
      0.1015,
      0.2222,
      0.1775,
      0.2506,
      0.1505,
      0.1048,
      0.4825,
      0,
      0.2115,
      0.255,
      0.2389,
      0.2382,
      0.1483,
      0.2254,
      0.3326,
      0.2896,
      0.1501,
      0.2398,
      0.1059,
      0,
      0.4453,
      0.3616,
      0.242,
      0.4128,
      0.1106,
      0.3057,
      0.3394,
      0.3653,
      0.3952,
      0.3776,
      0.3891,
      0.3664,
      0.371,
      0.1061,
      0.4281,
      0.2866,
      0,
      0.4741,
      0,
      0.2011,
      0.4916,
      0.2672,
      0.0018,
      0.2076,
      0.3915,
      0.2917,
      0.2645,
      0.3166,
      0.4304,
      0.3336,
      0.2829,
      0.467,
      0.1074,
      0.302,
      0.3079,
      0.2389,
      0.3237,
      0.0228,
      0.1459,
      0.1377,
      0.2051,
      0.339,
      0.3245,
      0.2711,
      0.1037,
      0.5071,
      0.305,
      0.0234,
      0.2682,
      0.1636,
      0.2585,
      0.1475,
      0.3471,
      0,
      0.2545,
      0.3446,
      0.1893,
      0.396,
      0.2682,
      0.3966,
      0.2887,
      0.0637,
      0.4253,
      0.084,
      0.3561,
      0.2037,
      0.2925,
      0.2662,
      0.0959,
      0.4273,
      0.338,
      0.4191,
      0.2533,
      0.3792,
      0.3129,
      0.1615,
      0.3363,
      0.0761,
      0.197,
      0.2911,
      0.1724,
      0.2447,
      0.1087,
      0.3016,
      0.2384,
      0.3908,
      0.0466,
      0.3151,
      0.2797,
      0.3043,
      0.4329,
      0.2536,
      0.4139,
      0.1601,
      0.1861,
      0.2153,
      0.3679,
      0.1479,
      0.3733,
      0.2778,
      0.0847,
      0.3378,
      0.3984,
      0,
      0.4477,
      0.0107,
      0,
      0.2439,
      0.1676,
      0.3999,
      0.1679,
      0.3798,
      0,
      0.1936,
      0.2717,
      0.1769,
      0.4066,
      0,
      0.506,
      0.3091,
      0.1292,
      0.3134,
      0.2204,
      0.3536,
      0.1759,
      0.2346,
      0.2598,
      0.0748,
      0.3037,
      0.3235,
      0.421,
      0.1537,
      0.4861,
      0.2238,
      0.1327,
      0.4392,
      0.1767,
      0.372,
      0.0552,
      0.2059,
      0.1337,
      0.2045,
      0.3163,
      0.163,
      0.4083,
      0.2154,
      0.4213,
      0.0604,
      0.1043,
      0.4503,
      0.0477,
      0.2478,
      0.0152,
      0.2516,
      0.2034,
      0.1088,
      0.3731,
      0.4296,
      0.3778,
      0.3278,
      0.398,
      0.2522,
      0.1632,
      0.4827,
      0.1444,
      0.2306,
      0.2365,
      0.1777,
      0.3972,
      0.05,
      0.4251,
      0.2805,
      0.3491,
      0.2969,
      0.3876,
      0.3319,
      0.3033,
      0.5435,
      0.2897,
      0.389,
      0.2089,
      0.1626,
      0.2943,
      0.3729,
      0.1088,
      0.1585,
      0.336,
      0.1628,
      0.2459,
      0.2078,
      0.3703,
      0.5568,
      0.4298,
      0.3143,
      0.3018,
      0.236,
      0.2709,
      0.1167,
      0,
      0.2985,
      0.0543,
      0.3181,
      0.1786,
      0.3872,
      0.1898,
      0.4822,
      0.2578,
      0.1319,
      0.4477,
      0.2451,
      0.2205,
      0.2125,
      0.1768,
      0.2783,
      0.1489,
      0.4005,
      0.3879,
      0.3593,
      0.2953,
      0.4487,
      0.2512,
      0.1156,
      0.5034,
      0.2381,
      0.1341,
      0.1274,
      0.1198,
      0.1344,
      0.2018,
      0.0819,
      0.171,
      0.2333,
      0.1281,
      0.3461,
      0,
      0,
      0.5088,
      0.0769,
      0.0959,
      0.1087,
      0.2255,
      0.1198,
      0,
      0.1699,
      0.1432,
      0.0202,
      0,
      0,
      0,
      0,
      0,
      0.2913,
      0.0505,
      0.2034,
      0.2426,
      0.2341,
      0.1942,
      0.0524,
      0.1771,
      0.1454,
      0.2245,
      0.2877,
      0.3415,
      0.2041,
      0.0561,
      0.0892,
      0.1833,
      0.1833,
      0.1511,
      0,
      0.2413,
      0.1824,
      0.043,
      0.1465,
      0.06,
      0.2826,
      0.0186,
      0.0887,
      0.1198,
      0.1607,
      0.1212,
      0.2281,
      0.246,
      0.2207,
      0.0893,
      0.08,
      0.4395,
      0,
      0.2046,
      0.2043,
      0.2986,
      0.2908,
      0.2759,
      0.1946,
      0.2396,
      0.3749,
      0.3553,
      0.1334,
      0.2126,
      0.0384,
      0.3844,
      0.3874,
      0.2324,
      0.3929,
      0.2482,
      0.3004,
      0.339,
      0.3145,
      0.4106,
      0.3431,
      0.3295,
      0.4071,
      0.3065,
      0,
      0.4215,
      0.2301,
      0,
      0.4734,
      0,
      0.1855,
      0.4008,
      0.1869,
      0.0062,
      0.1899,
      0.3825,
      0.2168,
      0.191,
      0.2901,
      0.2628,
      0.2898,
      0.245,
      0.4691,
      0.1586,
      0.5477,
      0.1963,
      0.215,
      0.2974,
      0,
      0.0949,
      0.085,
      0.2493,
      0.2852,
      0.2413,
      0.2467,
      0.155,
      0.4507,
      0.0776,
      0.0809,
      0.189,
      0.2885,
      0.2576,
      0.0836,
      0.3126,
      0.0497,
      0.2044,
      0.3124,
      0.1116,
      0.4283,
      0.2163,
      0.4036,
      0.3146,
      0.0716,
      0.4133,
      0.0782,
      0.3306,
      0.1891,
      0.2836,
      0.2194,
      0,
      0.3572,
      0.3841,
      0.3807,
      0.2522,
      0.3849,
      0.3495,
      0.1418,
      0.3357,
      0.0928,
      0.2086,
      0.3914,
      0.2317,
      0.2023,
      0.0768,
      0.3508,
      0.2166,
      0.2354,
      0.0107,
      0.3033,
      0.2426,
      0.2307,
      0.4733,
      0.2494,
      0.2469,
      0.229,
      0.3234,
      0.3483,
      0.2598,
      0.1435,
      0.2574,
      0.1912,
      0.1015,
      0.3787,
      0.3954,
      0,
      0.5077,
      0.0863,
      0,
      0.0677,
      0.0807,
      0.339,
      0.0754,
      0.324,
      0,
      0.2752,
      0.2525,
      0.2223,
      0.389,
      0.0292,
      0.4748,
      0.3929,
      0.0872,
      0.1444,
      0.1678,
      0.2699,
      0.1611,
      0.2187,
      0.173,
      0.08,
      0.2588,
      0.356,
      0.4122,
      0.1742,
      0.4553,
      0.2224,
      0.1907,
      0.3796,
      0.2524,
      0.2818,
      0.0957,
      0.1785,
      0.1828,
      0.1794,
      0.3724,
      0.1514,
      0.3662,
      0.1204,
      0.433,
      0.0855,
      0.2206,
      0.4754,
      0.126,
      0.2603,
      0.0656,
      0.1938,
      0.2845,
      0.0581,
      0.3347,
      0.3228,
      0.1863,
      0.2581,
      0.3084,
      0.2787,
      0.1697,
      0.5265,
      0.155,
      0.2126,
      0.2409,
      0.1463,
      0.4041,
      0.0735,
      0.3867,
      0.152,
      0.2781,
      0.3398,
      0.3442,
      0.1725,
      0.2359,
      0.4833,
      0.3127,
      0.2044,
      0.2549,
      0.3322,
      0.3096,
      0.2292,
      0.182,
      0.193,
      0.2515,
      0.1258,
      0.287,
      0.2745,
      0.2826,
      0.4499,
      0.2831,
      0.3879,
      0.2791,
      0.3074,
      0.2287,
      0.0887,
      0,
      0.2577,
      0.1352,
      0.3254,
      0.1469,
      0.3419,
      0.1874,
      0.4144,
      0.2532,
      0.0754,
      0.401,
      0.094,
      0.2566,
      0.2338,
      0.1511,
      0.2769,
      0.2724,
      0.3209,
      0.3874,
      0.2821,
      0.3777,
      0.3822,
      0.2331,
      0.1194,
      0.4983,
      0.255,
      0.1687,
      0,
      0.128,
      0.1897,
      0.156,
      0.082,
      0.1307,
      0.291,
      0.1543,
      0.2718,
      0,
      0.0597,
      0.4264,
      0.2103,
      0.1112,
      0.0634,
      0.1817,
      0.1453,
      0,
      0.1247,
      0.1851,
      0.0681,
      0,
      0,
      0,
      0,
      0,
      0.2541,
      0.1052,
      0.2332,
      0.2592,
      0.2788,
      0.1052,
      0.0433,
      0.2546,
      0.1361,
      0.1708,
      0.2945,
      0.3091,
      0.1475,
      0.0179,
      0.1551,
      0.1038,
      0.187,
      0.2817,
      0.004,
      0.2239,
      0.225,
      0.0507,
      0.1194,
      0.0464,
      0.0688,
      0.0753,
      0.0593,
      0.1522,
      0.1001,
      0.2257,
      0.1763,
      0.2047,
      0.2112,
      0.1084,
      0.1519,
      0.5242,
      0.0143,
      0.1604,
      0.1243,
      0.4669,
      0.4758,
      0.3711,
      0.2645,
      0.2075,
      0.2589,
      0.3886,
      0.1733,
      0.1554,
      0.0322,
      0.5071,
      0.3764,
      0.225,
      0.43,
      0.3078,
      0.322,
      0.3584,
      0.3528,
      0.3835,
      0.4036,
      0.3877,
      0.3296,
      0.3157,
      0.0137,
      0.3097,
      0.2584,
      0,
      0.5067,
      0,
      0.1682,
      0.3254,
      0.275,
      0,
      0.1987,
      0.3904,
      0.3184,
      0.2219,
      0.2629,
      0.3103,
      0.2894,
      0.228,
      0.5504,
      0.1446,
      0.2707,
      0.2729,
      0.3182,
      0.3435,
      0,
      0.05,
      0.0803,
      0.2955,
      0.2996,
      0.3013,
      0.215,
      0.1438,
      0.5303,
      0.0963,
      0.126,
      0.1953,
      0.3247,
      0.302,
      0.0626,
      0.2725,
      0.059,
      0.2288,
      0.333,
      0.1889,
      0.4051,
      0.2244,
      0.4834,
      0.2061,
      0.0739,
      0.2863,
      0.0321,
      0.4037,
      0.1394,
      0.3221,
      0.1446,
      0,
      0.4299,
      0.3517,
      0.3243,
      0.2385,
      0.3209,
      0.2254,
      0.2389,
      0.3305,
      0.0676,
      0.1044,
      0.241,
      0.1664,
      0.1848,
      0.0499,
      0.255,
      0.0987,
      0.2323,
      0.0649,
      0.2928,
      0.1755,
      0.4222,
      0.4949,
      0.3436,
      0.2528,
      0.4028,
      0.3129,
      0.1293,
      0.2066,
      0.1333,
      0.2718,
      0.1146,
      0.1859,
      0.3232,
      0.421,
      0,
      0.5226,
      0.0347,
      0,
      0.0521,
      0.1618,
      0.4142,
      0.1819,
      0.3795,
      0,
      0.2989,
      0.292,
      0.2471,
      0.4071,
      0,
      0.5135,
      0.3851,
      0.0592,
      0.298,
      0.0755,
      0.3781,
      0.3316,
      0.2077,
      0.0976,
      0.1761,
      0.3077,
      0.2867,
      0.427,
      0.1378,
      0.483,
      0.1621,
      0.1009,
      0.4544,
      0.171,
      0.3793,
      0.1294,
      0.101,
      0.1858,
      0.2197,
      0.321,
      0.1725,
      0.3014,
      0.3664,
      0.3245,
      0.178,
      0.1064,
      0.4927,
      0.0772,
      0.3128,
      0,
      0.2236,
      0.2149,
      0.0799,
      0.4066,
      0.3757,
      0.2479,
      0.2218,
      0.3125,
      0.3002,
      0.1149,
      0.5373,
      0.0759,
      0.2087,
      0.1295,
      0.1926,
      0.3686,
      0.0235,
      0.3696,
      0.215,
      0.2362,
      0.31,
      0.3746,
      0.1698,
      0.4258,
      0.5371,
      0.3676,
      0.3007,
      0.3757,
      0.3079,
      0.2049,
      0.1899,
      0.1285,
      0.1164,
      0.2401,
      0.2119,
      0.4714,
      0.2674,
      0.1912,
      0.5705,
      0.3497,
      0.4751,
      0.2411,
      0.3463,
      0.2234,
      0.0668,
      0,
      0.339,
      0,
      0.3619,
      0.252,
      0.3677,
      0.1587,
      0.4592,
      0.2223,
      0.1124,
      0.3636,
      0.2079,
      0.2821,
      0.1725,
      0.197,
      0.3308,
      0.2341,
      0.3867,
      0.3506,
      0.2474,
      0.3771,
      0.4445,
      0.1831,
      0.257,
      0.5377,
      0.087,
      0.1634,
      0.0654,
      0.0453,
      0.1078,
      0.2011,
      0.0606,
      0.1969,
      0.2014,
      0.1954,
      0.2469,
      0,
      0.0574,
      0.5582,
      0.1877,
      0.1411,
      0.0859,
      0.2084,
      0.1737,
      0,
      0.1432,
      0.0795,
      0.0387,
      0,
      0,
      0,
      0,
      0,
      0.1912,
      0.0379,
      0.2334,
      0.2356,
      0.1497,
      0.1173,
      0.0467,
      0.2542,
      0.1351,
      0.1625,
      0.2058,
      0.2423,
      0.1553,
      0.089,
      0.1467,
      0.0933,
      0.1951,
      0.2666,
      0.0313,
      0.0903,
      0.1231,
      0.1099,
      0.1329,
      0,
      0.1481,
      0.0741,
      0.104,
      0.1126,
      0.1856,
      0.2036,
      0.1995,
      0.1826,
      0.1532,
      0.1918,
      0.1952,
      0.4356,
      0.0369,
      0.1163,
      0.2028,
      0.3647,
      0.2519,
      0.3256,
      0.3055,
      0.2799,
      0.2327,
      0.1517,
      0.1951,
      0.1639,
      0.0249,
      0.4719,
      0.3813,
      0.2241,
      0.417,
      0.1959,
      0.3126,
      0.3611,
      0.3418,
      0.4201,
      0.3755,
      0.4206,
      0.4309,
      0.395,
      0,
      0.4743,
      0.2819,
      0,
      0.4882,
      0,
      0.0807,
      0.2871,
      0.3279,
      0,
      0.1726,
      0.4654,
      0.2357,
      0.2033,
      0.2909,
      0.3656,
      0.248,
      0.2471,
      0.4337,
      0.2351,
      0.303,
      0.3038,
      0.3024,
      0.3407,
      0,
      0.1131,
      0,
      0.3249,
      0.3459,
      0.247,
      0.3112,
      0.1693,
      0.4496,
      0.142,
      0.0158,
      0.2541,
      0.2433,
      0.2856,
      0.1073,
      0.3354,
      0.0641,
      0.2312,
      0.351,
      0.1028,
      0.4424,
      0.2631,
      0.4714,
      0.2326,
      0.0087,
      0.383,
      0.0847,
      0.4016,
      0.229,
      0.3461,
      0.1171,
      0,
      0.4454,
      0.4533,
      0.4326,
      0.2345,
      0.4724,
      0.1966,
      0.126,
      0.342,
      0.0864,
      0.1611,
      0.2132,
      0.1951,
      0.1814,
      0.2205,
      0.3621,
      0.2067,
      0.3762,
      0.1893,
      0.3147,
      0.1705,
      0.1763,
      0.4507,
      0.2681,
      0.2375,
      0.1743,
      0.3277,
      0.2215,
      0.1595,
      0.1672,
      0.3336,
      0.1983,
      0.1196,
      0.3463,
      0.4523,
      0,
      0.456,
      0.1514,
      0,
      0.049,
      0.1608,
      0.436,
      0.1523,
      0.4691,
      0,
      0.3036,
      0.2846,
      0.2081,
      0.4391,
      0.0161,
      0.4404,
      0.3151,
      0.0719,
      0.2784,
      0.088,
      0.4024,
      0.2019,
      0.1998,
      0.158,
      0.186,
      0.3013,
      0.3505,
      0.4833,
      0.19,
      0.4552,
      0.2211,
      0.187,
      0.4642,
      0.12,
      0.4113,
      0.1497,
      0.1789,
      0.28,
      0.2021,
      0.3887,
      0.1837,
      0.455,
      0.2717,
      0.3522,
      0.0292,
      0.1275,
      0.4332,
      0.1479,
      0.2874,
      0.0083,
      0.2437,
      0.2242,
      0.0733,
      0.4127,
      0.4422,
      0.353,
      0.2478,
      0.3703,
      0.3082,
      0.1337,
      0.4892,
      0.0469,
      0.2612,
      0.206,
      0.1168,
      0.4014,
      0.035,
      0.3786,
      0.3011,
      0.2238,
      0.3171,
      0.3381,
      0.2233,
      0.1319,
      0.409,
      0.3016,
      0.3137,
      0.17,
      0.3119,
      0.2629,
      0.247,
      0.1974,
      0.0732,
      0.2836,
      0.0848,
      0.2769,
      0.338,
      0.2032,
      0.4603,
      0.2951,
      0.316,
      0.2787,
      0.1146,
      0.2151,
      0.1154,
      0,
      0.2153,
      0.0102,
      0.3303,
      0.3435,
      0.4513,
      0.1537,
      0.4714,
      0.1825,
      0.1813,
      0.4442,
      0.2038,
      0.2768,
      0.1891,
      0.1435,
      0.26,
      0.1324,
      0.419,
      0.4417,
      0.3508,
      0.3304,
      0.4089,
      0.2042,
      0.1865,
      0.4553,
      0.1002,
      0.1988,
      0.1213,
      0.1428,
      0.1202,
      0.1874,
      0.0049,
      0.1677,
      0.153,
      0.167,
      0.2764,
      0.0488,
      0,
      0.4359,
      0.1818,
      0.1614,
      0.0823,
      0.1544,
      0.1662,
      0,
      0.1663,
      0.0721,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2893,
      0.1136,
      0.2573,
      0.2052,
      0.2056,
      0.2246,
      0,
      0.2078,
      0.1426,
      0.1475,
      0.177,
      0.2233,
      0.0946,
      0.0733,
      0.1343,
      0.0382,
      0.1301,
      0.3105,
      0.0435,
      0.2126,
      0.1829,
      0.1937,
      0.1294,
      0.0494,
      0.1753,
      0.0403,
      0.1248,
      0.1451,
      0.1974,
      0.2911,
      0.2236,
      0.1848,
      0.2025,
      0.095,
      0.3045,
      0.4355,
      0.0081,
      0.0025,
      0.1507,
      0.169,
      0.3165,
      0.2583,
      0.3065,
      0.3171,
      0.2217,
      0.2181,
      0.1884,
      0.1828,
      0.0703,
      0.5188,
      0.3636,
      0.3837,
      0.3558,
      0.2158,
      0.2177,
      0.3013,
      0.2624,
      0.5042,
      0.3888,
      0.3665,
      0.2965,
      0.3753,
      0,
      0.4035,
      0.2854,
      0.0063,
      0.4466,
      0.0141,
      0.1057,
      0.3366,
      0.4603,
      0.1575,
      0.1894,
      0.5374,
      0.305,
      0.2104,
      0.3201,
      0.2976,
      0.2997,
      0.3379,
      0.4832,
      0.2897,
      0.3786,
      0.1533,
      0.2663,
      0.4415,
      0,
      0.148,
      0.061,
      0.3426,
      0.3471,
      0.2897,
      0.4512,
      0.2338,
      0.5249,
      0,
      0.0617,
      0.2207,
      0.2161,
      0.2101,
      0.1488,
      0.2589,
      0,
      0.1947,
      0.2867,
      0.2118,
      0.3699,
      0.2207,
      0.4613,
      0.2975,
      0.1296,
      0.4033,
      0.0668,
      0.319,
      0.2182,
      0.2787,
      0.1971,
      0.0214,
      0.3917,
      0.3986,
      0.3534,
      0.2553,
      0.4041,
      0.1782,
      0.0711,
      0.3281,
      0,
      0.1632,
      0.1942,
      0.1656,
      0.2737,
      0.138,
      0.267,
      0.1421,
      0.3074,
      0.1939,
      0.3029,
      0.2106,
      0.1743,
      0.3845,
      0.1941,
      0.2127,
      0.2434,
      0.3326,
      0.1946,
      0.1429,
      0.2761,
      0.2755,
      0.2213,
      0.1211,
      0.4002,
      0.3927,
      0.0683,
      0.4646,
      0.347,
      0,
      0,
      0.1442,
      0.3557,
      0.1592,
      0.383,
      0,
      0.2578,
      0.3025,
      0.2224,
      0.3863,
      0.0119,
      0.4855,
      0.339,
      0.2129,
      0.2611,
      0.0625,
      0.3212,
      0.2743,
      0.1404,
      0.2583,
      0.4311,
      0.2318,
      0.2154,
      0.3449,
      0.2817,
      0.3948,
      0.434,
      0.0971,
      0.432,
      0.4371,
      0.3054,
      0.1537,
      0.1697,
      0.3413,
      0.176,
      0.3686,
      0.1418,
      0.3166,
      0.2646,
      0.3636,
      0.0676,
      0.1482,
      0.4034,
      0.1565,
      0.1663,
      0.1078,
      0.1838,
      0.1989,
      0.1556,
      0.2751,
      0.3053,
      0.3134,
      0.2691,
      0.3168,
      0.2447,
      0.0561,
      0.4855,
      0.1302,
      0.2292,
      0.1865,
      0.1674,
      0.3524,
      0.0346,
      0.4303,
      0.2655,
      0.2537,
      0.3672,
      0.37,
      0.2646,
      0.137,
      0.4443,
      0.2458,
      0.3373,
      0.2325,
      0.2374,
      0.2703,
      0.1945,
      0.3101,
      0.1169,
      0.348,
      0.1017,
      0.2949,
      0.2862,
      0.2185,
      0.4231,
      0.207,
      0.3384,
      0.2826,
      0.1162,
      0.205,
      0.1056,
      0,
      0.2003,
      0,
      0.2873,
      0.2628,
      0.3174,
      0.2174,
      0.4578,
      0.0407,
      0.1293,
      0.4196,
      0.2636,
      0.1885,
      0.2789,
      0.208,
      0.266,
      0.189,
      0.336,
      0.3004,
      0.2749,
      0.3726,
      0.4332,
      0.2362,
      0.1538,
      0.4762,
      0.1112,
      0.2129,
      0.0641,
      0.1345,
      0.2,
      0.2514,
      0,
      0.2005,
      0.1633,
      0.145,
      0.3152,
      0.0472,
      0.0334,
      0.4801,
      0.233,
      0.1605,
      0.0975,
      0.3075,
      0.0931,
      0,
      0.1463,
      0.1507,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1613,
      0.1025,
      0.207,
      0.303,
      0.2384,
      0.218,
      0.0153,
      0.2535,
      0.1081,
      0.0967,
      0.2558,
      0.2894,
      0.224,
      0.1112,
      0.1724,
      0.1215,
      0.1649,
      0.2754,
      0.0553,
      0.1042,
      0.2131,
      0.1423,
      0.1446,
      0.0027,
      0.169,
      0.1505,
      0.0996,
      0.0954,
      0.1014,
      0.3399,
      0.2601,
      0.2445,
      0.2303,
      0.0219,
      0.1674,
      0.5608,
      0.0189,
      0,
      0.158,
      0.224,
      0.3064,
      0.2584,
      0.2076,
      0.2842,
      0.2902,
      0.2051,
      0.1681,
      0.296,
      0.0377,
      0.5624,
      0.4124,
      0.4138,
      0.3574,
      0.1779,
      0.2621,
      0.3747,
      0.3025,
      0.421,
      0.4394,
      0.2686,
      0.2664,
      0.1989,
      0.0433,
      0.4851,
      0.1987,
      0,
      0.4448,
      0.2826,
      0.1649,
      0.3574,
      0.4937,
      0,
      0.1684,
      0.3507,
      0.312,
      0.3124,
      0.362,
      0.3233,
      0.3131,
      0.3588,
      0.4653,
      0.2331,
      0.2284,
      0.208,
      0.3576,
      0.2221,
      0,
      0.1812,
      0.1647,
      0.273,
      0.3027,
      0.3001,
      0.3442,
      0.2881,
      0.5746,
      0.0621,
      0.0042,
      0.2458,
      0.202,
      0.2006,
      0.1748,
      0.2855,
      0,
      0.2798,
      0.2696,
      0.1768,
      0.341,
      0.1611,
      0.5498,
      0.2442,
      0.1189,
      0.4092,
      0.071,
      0.3362,
      0.1685,
      0.2973,
      0.2914,
      0.0824,
      0.3038,
      0.3426,
      0.3406,
      0.2267,
      0.3053,
      0.1665,
      0.1547,
      0.3351,
      0,
      0.1898,
      0.2081,
      0.1589,
      0.3034,
      0.1895,
      0.2652,
      0.1281,
      0.2861,
      0.072,
      0.3153,
      0.2277,
      0.1938,
      0.5243,
      0.1768,
      0.179,
      0.1434,
      0.3085,
      0.2787,
      0.0881,
      0.1131,
      0.3179,
      0.2253,
      0.2549,
      0.5136,
      0.3245,
      0,
      0.5448,
      0.3142,
      0,
      0,
      0.1167,
      0.3011,
      0.1516,
      0.3794,
      0,
      0.361,
      0.3218,
      0.2397,
      0.35,
      0.0287,
      0.5423,
      0.3046,
      0.1844,
      0.4546,
      0.1375,
      0.2945,
      0.4512,
      0.2042,
      0.3769,
      0.2103,
      0.1382,
      0.2414,
      0.3673,
      0.1562,
      0.4687,
      0.2508,
      0.2017,
      0.3966,
      0.3495,
      0.2603,
      0.2528,
      0.2255,
      0.2358,
      0.1568,
      0.2898,
      0.1653,
      0.2998,
      0.2358,
      0.3887,
      0,
      0.1828,
      0.5086,
      0.1638,
      0.2703,
      0,
      0.2411,
      0.1549,
      0.1176,
      0.2566,
      0.383,
      0.2854,
      0.204,
      0.361,
      0.1591,
      0.0292,
      0.5202,
      0.2001,
      0.2639,
      0.2915,
      0.1991,
      0.3385,
      0,
      0.3514,
      0.2852,
      0.2464,
      0.2647,
      0.371,
      0.2711,
      0.1137,
      0.506,
      0.1901,
      0.2838,
      0.1982,
      0.3312,
      0.2423,
      0.2073,
      0.2284,
      0.3059,
      0.1979,
      0.2469,
      0.2539,
      0.4943,
      0.3047,
      0.5286,
      0.2358,
      0.3009,
      0.2894,
      0.1994,
      0.2897,
      0.2768,
      0,
      0.3874,
      0.059,
      0.2086,
      0.2102,
      0.3269,
      0.2473,
      0.4256,
      0.0448,
      0.1808,
      0.4027,
      0.2879,
      0.2594,
      0.3147,
      0.146,
      0.3462,
      0.0748,
      0.3267,
      0.2885,
      0.2984,
      0.3078,
      0.4528,
      0.2515,
      0.1281,
      0.4975,
      0.149,
      0.1647,
      0.0709,
      0.128,
      0.1834,
      0.2638,
      0,
      0.1959,
      0.2072,
      0,
      0.3355,
      0.0999,
      0.0863,
      0.5661,
      0.1799,
      0.1599,
      0.12,
      0.2399,
      0.1455,
      0.0075,
      0.138,
      0.1521,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3097,
      0.1216,
      0.2486,
      0.2787,
      0.1592,
      0.1949,
      0,
      0.1219,
      0.1828,
      0.1222,
      0.2636,
      0.2767,
      0.1987,
      0.1292,
      0.1704,
      0.1274,
      0.2942,
      0.2334,
      0.0627,
      0.1861,
      0.1598,
      0.1426,
      0.1427,
      0.0496,
      0.1467,
      0.1302,
      0.1251,
      0.0508,
      0.0989,
      0.2373,
      0.2502,
      0.1142,
      0.2635,
      0.1261,
      0.1378,
      0.5055,
      0.0303,
      0.0862,
      0.2792,
      0.3149,
      0.2009,
      0.2369,
      0.2207,
      0.4421,
      0.3256,
      0.2367,
      0.1541,
      0.333,
      0.0266,
      0.5074,
      0.4408,
      0.3444,
      0.387,
      0.1337,
      0.263,
      0.3895,
      0.3153,
      0.3893,
      0.4299,
      0.3535,
      0.3143,
      0.1996,
      0,
      0.3922,
      0.2389,
      0,
      0.3742,
      0.3045,
      0.1808,
      0.4557,
      0.3916,
      0.0029,
      0.1572,
      0.4182,
      0.285,
      0.4072,
      0.4156,
      0.3404,
      0.3151,
      0.3603,
      0.5233,
      0.0942,
      0.1791,
      0.2409,
      0.3837,
      0.2793,
      0,
      0.1057,
      0.1988,
      0.1644,
      0.3532,
      0.253,
      0.2299,
      0.2065,
      0.5219,
      0.2071,
      0,
      0.2103,
      0.2302,
      0.2362,
      0.1583,
      0.2217,
      0.0256,
      0.2955,
      0.319,
      0.123,
      0.424,
      0.2019,
      0.5094,
      0.2996,
      0.1272,
      0.3429,
      0.0968,
      0.3671,
      0.1508,
      0.2862,
      0.3693,
      0.0478,
      0.3576,
      0.3375,
      0.3419,
      0.2234,
      0.3057,
      0.2279,
      0.1513,
      0.2847,
      0.0733,
      0.2406,
      0.0863,
      0.0861,
      0.093,
      0.1583,
      0.2932,
      0.1395,
      0.2635,
      0.064,
      0.2196,
      0.3753,
      0.1705,
      0.4903,
      0.2215,
      0.2857,
      0.1098,
      0.371,
      0.3038,
      0.2843,
      0.1174,
      0.3082,
      0.2693,
      0.206,
      0.4261,
      0.3246,
      0,
      0.4589,
      0.1618,
      0,
      0.0049,
      0.2223,
      0.3611,
      0.1709,
      0.4352,
      0,
      0.3944,
      0.2717,
      0.2704,
      0.4178,
      0.0021,
      0.4875,
      0.276,
      0.0784,
      0.4714,
      0.1177,
      0.3513,
      0.3959,
      0.1287,
      0.3274,
      0.0874,
      0.2592,
      0.3318,
      0.4128,
      0.1417,
      0.4529,
      0.2702,
      0.1871,
      0.325,
      0.1851,
      0.3563,
      0.3291,
      0.1617,
      0.1422,
      0.1759,
      0.3109,
      0.0632,
      0.2508,
      0.203,
      0.2852,
      0.0964,
      0.2397,
      0.4322,
      0.1625,
      0.2831,
      0.0434,
      0.3037,
      0.3355,
      0.0743,
      0.301,
      0.3162,
      0.2152,
      0.1559,
      0.2186,
      0.2535,
      0.2138,
      0.4647,
      0.1752,
      0.2486,
      0.3363,
      0.1879,
      0.3522,
      0.0309,
      0.3726,
      0.2827,
      0.1705,
      0.3278,
      0.3206,
      0.3828,
      0.1757,
      0.4919,
      0.211,
      0.2967,
      0.2269,
      0.3119,
      0.2884,
      0.3119,
      0.1622,
      0.2737,
      0.3156,
      0.1581,
      0.1833,
      0.5014,
      0.4311,
      0.4816,
      0.3209,
      0.4342,
      0.3045,
      0.2512,
      0.3204,
      0.2916,
      0,
      0.3313,
      0,
      0.3019,
      0.1633,
      0.3131,
      0.1065,
      0.3728,
      0.0413,
      0.1664,
      0.3419,
      0.0517,
      0.1487,
      0.2874,
      0.1777,
      0.3573,
      0.1643,
      0.3978,
      0.3091,
      0.2235,
      0.3056,
      0.4257,
      0.2413,
      0.1481,
      0.4254,
      0.1632,
      0.2465,
      0.0133,
      0.1249,
      0.18,
      0.2183,
      0,
      0.174,
      0.1286,
      0.0674,
      0.2985,
      0.087,
      0.0241,
      0.482,
      0,
      0.117,
      0.0421,
      0.2069,
      0.0931,
      0,
      0.1547,
      0.1189,
      0,
      0,
      0,
      0,
      0,
      0,
      0.316,
      0.1542,
      0.1592,
      0.179,
      0.2453,
      0.1345,
      0.1157,
      0.1957,
      0.1628,
      0.1319,
      0.2865,
      0.3528,
      0.1351,
      0.1471,
      0.1004,
      0.1913,
      0.2865,
      0.2639,
      0.082,
      0.2031,
      0.087,
      0.2002,
      0.163,
      0.0999,
      0.2692,
      0.2454,
      0.0828,
      0.1052,
      0.174,
      0.1256,
      0.2011,
      0.0667,
      0.1917,
      0.0252,
      0.0811,
      0.4844,
      0.0094,
      0.0684,
      0.2693,
      0.2573,
      0.214,
      0.1738,
      0.2544,
      0.2812,
      0.2416,
      0.2406,
      0.1691,
      0.2413,
      0.0105,
      0.5053,
      0.4404,
      0.2342,
      0.408,
      0.1578,
      0.2955,
      0.3808,
      0.3943,
      0.3923,
      0.4466,
      0.4023,
      0.3365,
      0.2538,
      0.0356,
      0.4751,
      0.2393,
      0,
      0.4806,
      0,
      0.1733,
      0.4344,
      0.3377,
      0,
      0.1718,
      0.4262,
      0.2748,
      0.2329,
      0.2465,
      0.3745,
      0.2987,
      0.3428,
      0.5019,
      0.1435,
      0.1908,
      0.183,
      0.3066,
      0.327,
      0,
      0.133,
      0.1319,
      0.2073,
      0.2691,
      0.3182,
      0.274,
      0.1947,
      0.4833,
      0.0008,
      0.0121,
      0.2949,
      0.3521,
      0.2808,
      0.0936,
      0.2206,
      0.0901,
      0.2831,
      0.3482,
      0.1534,
      0.4018,
      0.2396,
      0.467,
      0.3573,
      0.083,
      0.3884,
      0.1979,
      0.4221,
      0.1356,
      0.2943,
      0.3125,
      0.0797,
      0.3774,
      0.4439,
      0.4026,
      0.2368,
      0.3932,
      0.2009,
      0.1728,
      0.374,
      0.1274,
      0.2534,
      0.178,
      0.1273,
      0.0577,
      0.0848,
      0.2277,
      0.1532,
      0.2296,
      0.0565,
      0.3067,
      0.2842,
      0.2413,
      0.4699,
      0.2194,
      0.2411,
      0.2209,
      0.2631,
      0.2224,
      0.1157,
      0.123,
      0.2318,
      0.2441,
      0.0883,
      0.4466,
      0.4191,
      0,
      0.4628,
      0.099,
      0,
      0.1389,
      0.2809,
      0.4286,
      0.1504,
      0.4181,
      0,
      0.2528,
      0.2327,
      0.2687,
      0.3888,
      0,
      0.4859,
      0.2578,
      0.0172,
      0.2904,
      0.1628,
      0.3635,
      0.1854,
      0.1723,
      0.2574,
      0.1117,
      0.3014,
      0.2873,
      0.4408,
      0.1498,
      0.3254,
      0.2881,
      0.0986,
      0.3656,
      0.2706,
      0.3871,
      0.2131,
      0.1633,
      0.0883,
      0.1909,
      0.3067,
      0.1816,
      0.341,
      0.1546,
      0.3461,
      0.0831,
      0.1863,
      0.4777,
      0.1572,
      0.2534,
      0,
      0.2391,
      0.3186,
      0.0779,
      0.4333,
      0.4151,
      0.285,
      0.2071,
      0.3694,
      0.2834,
      0.1735,
      0.4697,
      0.2059,
      0.1636,
      0.2812,
      0.1885,
      0.3461,
      0.0063,
      0.3828,
      0.2511,
      0.26,
      0.355,
      0.3111,
      0.2721,
      0.1945,
      0.4528,
      0.161,
      0.1553,
      0.2406,
      0.2686,
      0.2162,
      0.146,
      0.1945,
      0.1148,
      0.3007,
      0.0644,
      0.2892,
      0.2792,
      0.2276,
      0.4811,
      0.2456,
      0.401,
      0.3054,
      0.2356,
      0.1898,
      0.1645,
      0,
      0.276,
      0.062,
      0.324,
      0.2143,
      0.3599,
      0.1216,
      0.3113,
      0.1569,
      0.1305,
      0.4767,
      0.0785,
      0.1928,
      0.1705,
      0.1857,
      0.317,
      0.107,
      0.4217,
      0.3644,
      0.2375,
      0.2819,
      0.4069,
      0.2857,
      0.1291,
      0.3732,
      0.2072,
      0.1597,
      0.0165,
      0.0757,
      0.057,
      0.1765,
      0,
      0.2519,
      0.1627,
      0.1174,
      0.3108,
      0.0126,
      0,
      0.4487,
      0.0029,
      0.0905,
      0.0916,
      0.2159,
      0.1371,
      0.0152,
      0.1892,
      0.1391,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2971,
      0.1645,
      0.1594,
      0.2046,
      0.3521,
      0.1567,
      0.0856,
      0.1927,
      0.116,
      0.1621,
      0.2774,
      0.3192,
      0.2163,
      0.1222,
      0.2502,
      0.1273,
      0.2927,
      0.2667,
      0.0172,
      0.0969,
      0.0658,
      0.1146,
      0.1143,
      0.0876,
      0.1558,
      0.2123,
      0.0992,
      0.148,
      0.1664,
      0.0916,
      0.2043,
      0.1158,
      0.198,
      0.0746,
      0,
      0.4637,
      0.0102,
      0.04,
      0.2276,
      0.4257,
      0.4678,
      0.1897,
      0.1907,
      0.2111,
      0.1975,
      0.1619,
      0.1614,
      0.2518,
      0,
      0.4798,
      0.4403,
      0.164,
      0.2964,
      0.163,
      0.3232,
      0.4543,
      0.3625,
      0.4342,
      0.4675,
      0.413,
      0.3553,
      0.2891,
      0,
      0.3648,
      0.2659,
      0,
      0.4262,
      0.016,
      0.1305,
      0.4004,
      0.3183,
      0,
      0.1307,
      0.446,
      0.2673,
      0.219,
      0.2749,
      0.3557,
      0.3251,
      0.236,
      0.5544,
      0.2117,
      0.2853,
      0.2292,
      0.3076,
      0.3416,
      0,
      0.1676,
      0.1707,
      0.1989,
      0.3189,
      0.3255,
      0.2924,
      0.2285,
      0.4862,
      0.0557,
      0,
      0.2813,
      0.1437,
      0.2491,
      0.1182,
      0.3082,
      0.0987,
      0.289,
      0.3394,
      0.1964,
      0.3796,
      0.2451,
      0.4304,
      0.3613,
      0.1973,
      0.4312,
      0.1467,
      0.3531,
      0.2324,
      0.2714,
      0.2345,
      0,
      0.4197,
      0.4075,
      0.3873,
      0.2949,
      0.4192,
      0.2344,
      0.1527,
      0.3398,
      0.0546,
      0.2169,
      0.1016,
      0.1066,
      0.1024,
      0.0572,
      0.3267,
      0.1254,
      0.3249,
      0.1518,
      0.3303,
      0.2941,
      0.3692,
      0.4168,
      0.106,
      0.259,
      0.3997,
      0.1828,
      0.2107,
      0.1591,
      0.1743,
      0.335,
      0.225,
      0.1242,
      0.4333,
      0.4177,
      0,
      0.4564,
      0.1208,
      0,
      0.2283,
      0.2512,
      0.4099,
      0.2432,
      0.4069,
      0,
      0.2416,
      0.2799,
      0.2858,
      0.3666,
      0,
      0.4866,
      0.3291,
      0.0634,
      0.3911,
      0.1593,
      0.3323,
      0.2856,
      0.161,
      0.2496,
      0.0435,
      0.3352,
      0.3349,
      0.461,
      0.0834,
      0.4321,
      0.1647,
      0.1758,
      0.393,
      0.2314,
      0.3623,
      0.1758,
      0.1685,
      0.1462,
      0.1978,
      0.3602,
      0.1869,
      0.3649,
      0.2177,
      0.3662,
      0.0081,
      0.2167,
      0.4162,
      0.2124,
      0.2453,
      0,
      0.2713,
      0.2633,
      0.0989,
      0.4059,
      0.4038,
      0.3264,
      0.1909,
      0.3208,
      0.2972,
      0.1305,
      0.4555,
      0.1817,
      0.2832,
      0.2337,
      0.2181,
      0.3495,
      0,
      0.3915,
      0.1741,
      0.2014,
      0.3242,
      0.3523,
      0.215,
      0.4029,
      0.4358,
      0.1906,
      0.2104,
      0.4116,
      0.1371,
      0.1597,
      0.1522,
      0.1114,
      0.0678,
      0.1944,
      0.0724,
      0.404,
      0.3109,
      0.2321,
      0.4631,
      0.2653,
      0.3309,
      0.2855,
      0.1584,
      0.1953,
      0.1004,
      0,
      0.2819,
      0.1204,
      0.3261,
      0.0759,
      0.3583,
      0.1714,
      0.4284,
      0.2255,
      0.1706,
      0.4101,
      0.1471,
      0.2144,
      0.1931,
      0.171,
      0.2795,
      0.2107,
      0.4215,
      0.3674,
      0.3201,
      0.2855,
      0.3929,
      0.2745,
      0.1036,
      0.4298,
      0.1588,
      0.2148,
      0.0631,
      0.1133,
      0.029,
      0.1438,
      0.0194,
      0.2396,
      0.1519,
      0.0449,
      0.3118,
      0.0549,
      0.0705,
      0.468,
      0.1101,
      0.1453,
      0.1407,
      0.2463,
      0.0064,
      0,
      0.1594,
      0.0876,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2986,
      0.0936,
      0.2482,
      0.2857,
      0.1848,
      0.2013,
      0.1068,
      0.2463,
      0.1712,
      0.147,
      0.1317,
      0.3716,
      0.1349,
      0.0492,
      0.2608,
      0.1401,
      0.2678,
      0.297,
      0.0045,
      0.1936,
      0.1452,
      0.188,
      0.1153,
      0.0644,
      0.1363,
      0.0498,
      0.0694,
      0.1816,
      0.1358,
      0.1156,
      0.189,
      0.0912,
      0.2095,
      0.1029,
      0.0152,
      0.4353,
      0.0254,
      0.0757,
      0.2178,
      0.5225,
      0.5155,
      0.1603,
      0.2153,
      0.365,
      0.1036,
      0.1761,
      0.1451,
      0.1759,
      0.0195,
      0.4255,
      0.4186,
      0.1158,
      0.4467,
      0.197,
      0.3541,
      0.3631,
      0.41,
      0.4495,
      0.411,
      0.4635,
      0.3896,
      0.2421,
      0,
      0.3515,
      0.2697,
      0,
      0.5031,
      0.0486,
      0.1911,
      0.3348,
      0.2043,
      0,
      0.2181,
      0.4688,
      0.2543,
      0.1768,
      0.2792,
      0.3724,
      0.2899,
      0.1734,
      0.4472,
      0.1567,
      0.262,
      0.1953,
      0.3541,
      0.3843,
      0.1258,
      0.2105,
      0.2438,
      0.1744,
      0.3878,
      0.3078,
      0.2537,
      0.2017,
      0.4748,
      0.1162,
      0.0071,
      0.1827,
      0.2506,
      0.2898,
      0.17,
      0.2725,
      0.1576,
      0.2753,
      0.3611,
      0.1715,
      0.4335,
      0.231,
      0.401,
      0.1958,
      0.1672,
      0.4444,
      0.0902,
      0.4154,
      0.2554,
      0.2371,
      0.1617,
      0.0701,
      0.4722,
      0.4006,
      0.4375,
      0.2856,
      0.4071,
      0.2115,
      0.0853,
      0.2718,
      0.0296,
      0.2373,
      0.1721,
      0.1717,
      0.1806,
      0.1151,
      0.3199,
      0.088,
      0.3193,
      0.1262,
      0.3504,
      0.2637,
      0.461,
      0.3861,
      0.1235,
      0.1842,
      0.4309,
      0.3031,
      0.1775,
      0.1099,
      0.164,
      0.2898,
      0.2164,
      0.183,
      0.3269,
      0.4676,
      0,
      0.4864,
      0.104,
      0,
      0.2198,
      0.3018,
      0.4733,
      0.2887,
      0.4185,
      0,
      0.2522,
      0.3123,
      0.2341,
      0.456,
      0,
      0.4672,
      0.301,
      0.1335,
      0.3016,
      0.1312,
      0.4259,
      0.2883,
      0.2138,
      0.1992,
      0.067,
      0.3571,
      0.3212,
      0.4968,
      0.1568,
      0.4004,
      0.1958,
      0.2165,
      0.4318,
      0.1984,
      0.4356,
      0.2333,
      0.1889,
      0.2412,
      0.193,
      0.3992,
      0.1574,
      0.3469,
      0.2373,
      0.3846,
      0.0711,
      0.2249,
      0.4082,
      0.1876,
      0.3051,
      0.048,
      0.2386,
      0.2319,
      0.0896,
      0.4389,
      0.2767,
      0.284,
      0.1804,
      0.3698,
      0.299,
      0.1545,
      0.499,
      0.1531,
      0.2292,
      0.1949,
      0.2125,
      0.416,
      0,
      0.4126,
      0.2502,
      0.2588,
      0.3261,
      0.346,
      0.235,
      0.4651,
      0.4571,
      0.1697,
      0.2319,
      0.4281,
      0.2449,
      0.2131,
      0.0046,
      0.1827,
      0.1905,
      0.2251,
      0.1837,
      0.4963,
      0.3189,
      0.1057,
      0.406,
      0.3364,
      0.2747,
      0.2638,
      0.1903,
      0.1844,
      0.1682,
      0,
      0.3269,
      0.099,
      0.3633,
      0.1261,
      0.3967,
      0.1859,
      0.4896,
      0.201,
      0.1614,
      0.4235,
      0.1342,
      0.2755,
      0.2021,
      0.2287,
      0.3,
      0.1629,
      0.4566,
      0.3129,
      0.3253,
      0.3643,
      0.2885,
      0.2969,
      0.0698,
      0.5243,
      0.1105,
      0.1807,
      0.1623,
      0.141,
      0.0066,
      0.2154,
      0.0481,
      0.2447,
      0.1199,
      0,
      0.2727,
      0.0625,
      0.0921,
      0.4872,
      0.1432,
      0.088,
      0.0643,
      0.1991,
      0.0147,
      0,
      0.1714,
      0.0346,
      0.0024,
      0,
      0,
      0,
      0,
      0,
      0.2876,
      0.2083,
      0.224,
      0.2532,
      0.1541,
      0.176,
      0.0641,
      0.1756,
      0.0624,
      0.0413,
      0.2156,
      0.3789,
      0.0983,
      0.113,
      0.2402,
      0.2303,
      0.1773,
      0.2692,
      0.0242,
      0.1176,
      0.1536,
      0.1802,
      0.1191,
      0.0889,
      0.2732,
      0.1366,
      0.1307,
      0.2041,
      0.1415,
      0.1916,
      0.2232,
      0.0619,
      0.1848,
      0.1204,
      0,
      0.5136,
      0.094,
      0.0409,
      0.2352,
      0.2613,
      0.2474,
      0.2214,
      0.2102,
      0.2446,
      0.1965,
      0.1934,
      0.185,
      0.2513,
      0,
      0.5025,
      0.362,
      0.1068,
      0.4228,
      0.1428,
      0.2696,
      0.4055,
      0.3611,
      0.374,
      0.4815,
      0.4152,
      0.3527,
      0.3847,
      0,
      0.4207,
      0.2509,
      0,
      0.4529,
      0.0386,
      0.2356,
      0.3722,
      0.2976,
      0,
      0.0852,
      0.41,
      0.2727,
      0.2173,
      0.2653,
      0.3025,
      0.3234,
      0.2472,
      0.5563,
      0.1816,
      0.4304,
      0.2004,
      0.2928,
      0.3568,
      0,
      0.2255,
      0.1966,
      0.1954,
      0.2909,
      0.2626,
      0.2306,
      0.167,
      0.55,
      0.0352,
      0.0588,
      0.2383,
      0.2483,
      0.2771,
      0.151,
      0.3243,
      0.1354,
      0.2896,
      0.3626,
      0.1738,
      0.4092,
      0.1784,
      0.4854,
      0.3097,
      0.1153,
      0.3741,
      0.0999,
      0.3669,
      0.2185,
      0.3279,
      0.2255,
      0.0577,
      0.431,
      0.4014,
      0.4527,
      0.2743,
      0.415,
      0.2524,
      0.1186,
      0.2892,
      0,
      0.303,
      0.1533,
      0.1856,
      0.1473,
      0.1215,
      0.2703,
      0.1296,
      0.3724,
      0.1723,
      0.3169,
      0.266,
      0.1736,
      0.4565,
      0.1242,
      0.1132,
      0.1984,
      0.2728,
      0.2048,
      0.1488,
      0.1238,
      0.349,
      0.1485,
      0.1436,
      0.3916,
      0.3885,
      0,
      0.5376,
      0.1392,
      0,
      0.1192,
      0.2742,
      0.4265,
      0.2485,
      0.4274,
      0,
      0.3263,
      0.3159,
      0.2095,
      0.4081,
      0,
      0.516,
      0.2516,
      0.1106,
      0.2991,
      0.1315,
      0.3625,
      0.2739,
      0.1471,
      0.1777,
      0.0772,
      0.3235,
      0.3059,
      0.4639,
      0.079,
      0.4821,
      0.1991,
      0.1685,
      0.4319,
      0.163,
      0.3903,
      0.1542,
      0.1572,
      0.158,
      0.1054,
      0.3174,
      0.1553,
      0.4248,
      0.1349,
      0.4325,
      0.0128,
      0.1447,
      0.4766,
      0.1344,
      0.2447,
      0.0806,
      0.264,
      0.1916,
      0.1125,
      0.3526,
      0.4274,
      0.3426,
      0.1788,
      0.364,
      0.283,
      0.0654,
      0.5262,
      0.2121,
      0.2333,
      0.1444,
      0.2394,
      0.4041,
      0.0248,
      0.4426,
      0.1884,
      0.1995,
      0.3362,
      0.3071,
      0.2571,
      0.1504,
      0.5363,
      0.1199,
      0.1565,
      0.1475,
      0.2988,
      0.1955,
      0.1864,
      0.1887,
      0.1902,
      0.1624,
      0.1465,
      0.2799,
      0.301,
      0.1808,
      0.5201,
      0.1812,
      0.3336,
      0.1932,
      0.1941,
      0.2269,
      0.1683,
      0,
      0.2749,
      0.0358,
      0.3261,
      0.086,
      0.3867,
      0.18,
      0.481,
      0.2084,
      0.1411,
      0.4374,
      0.1919,
      0.2444,
      0.1836,
      0.1695,
      0.2862,
      0.1041,
      0.4257,
      0.4043,
      0.3323,
      0.341,
      0.3819,
      0.245,
      0.0892,
      0.4593,
      0.082,
      0.2401,
      0.1496,
      0.1441,
      0.1366,
      0.1487,
      0.0885,
      0.2218,
      0.2013,
      0.0441,
      0.2481,
      0.0933,
      0.066,
      0.4869,
      0.198,
      0.1443,
      0.1069,
      0.1662,
      0.152,
      0,
      0.0992,
      0.1429,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3138,
      0.1928,
      0.1806,
      0.271,
      0.1853,
      0.2227,
      0.0213,
      0.1789,
      0.1371,
      0.144,
      0.2809,
      0.363,
      0.0534,
      0.1413,
      0.2277,
      0.223,
      0.1729,
      0.2901,
      0.0779,
      0.1662,
      0.0834,
      0.1651,
      0.1125,
      0.0797,
      0.2421,
      0.1133,
      0.1691,
      0.1662,
      0.166,
      0.2183,
      0.2166,
      0.1777,
      0.205,
      0.216,
      0.087,
      0.5584,
      0,
      0.0903,
      0.3082,
      0.2609,
      0.2661,
      0.119,
      0.226,
      0.2223,
      0.2113,
      0.1374,
      0.1712,
      0.1926,
      0.0021,
      0.4591,
      0.3528,
      0.1448,
      0.4494,
      0.1438,
      0.3185,
      0.3671,
      0.3636,
      0.4093,
      0.4006,
      0.3887,
      0.3918,
      0.4165,
      0,
      0.3655,
      0.2409,
      0,
      0.5321,
      0,
      0.1819,
      0.3561,
      0.3935,
      0,
      0.1126,
      0.3824,
      0.3404,
      0.2576,
      0.3554,
      0.2409,
      0.2753,
      0.3,
      0.5672,
      0.2611,
      0.4812,
      0.1563,
      0.2676,
      0.307,
      0,
      0.2098,
      0.1853,
      0.2159,
      0.2138,
      0.2381,
      0.2499,
      0.2564,
      0.5427,
      0.0636,
      0.0604,
      0.3217,
      0.2562,
      0.2642,
      0.1461,
      0.3504,
      0.0863,
      0.1887,
      0.3426,
      0.148,
      0.4241,
      0.1267,
      0.4706,
      0.3342,
      0.1554,
      0.4054,
      0.0894,
      0.371,
      0.1939,
      0.2854,
      0.1858,
      0.0385,
      0.4284,
      0.3506,
      0.4388,
      0.3159,
      0.356,
      0.2131,
      0.1623,
      0.3985,
      0.0341,
      0.2591,
      0.087,
      0.1344,
      0.211,
      0.098,
      0.3718,
      0.1065,
      0.3635,
      0.0602,
      0.3177,
      0.2578,
      0.1744,
      0.5107,
      0.169,
      0.2225,
      0.1325,
      0.2769,
      0.1605,
      0.1904,
      0.0872,
      0.3075,
      0.2353,
      0.0931,
      0.3732,
      0.4402,
      0,
      0.516,
      0.0884,
      0,
      0.0705,
      0.298,
      0.4301,
      0.3086,
      0.4545,
      0,
      0.2456,
      0.2616,
      0.221,
      0.3747,
      0.0066,
      0.491,
      0.2889,
      0.1519,
      0.3527,
      0.1564,
      0.4075,
      0.2932,
      0.1814,
      0.2918,
      0.0962,
      0.2814,
      0.3664,
      0.4815,
      0.1505,
      0.4925,
      0.2356,
      0.1496,
      0.4811,
      0.2347,
      0.4124,
      0.251,
      0.201,
      0.2513,
      0.1464,
      0.3639,
      0.1798,
      0.3721,
      0.1349,
      0.3616,
      0.0186,
      0.2095,
      0.5272,
      0.0814,
      0.2964,
      0,
      0.2312,
      0.197,
      0.1114,
      0.3789,
      0.4429,
      0.3308,
      0.1742,
      0.2909,
      0.2502,
      0.0325,
      0.5447,
      0.1797,
      0.2001,
      0.2104,
      0.1966,
      0.3595,
      0,
      0.3676,
      0.1867,
      0.2362,
      0.4308,
      0.3331,
      0.2589,
      0.2141,
      0.506,
      0.1037,
      0.1947,
      0.0966,
      0.2627,
      0.1969,
      0.1915,
      0.0268,
      0.1414,
      0.1693,
      0.0983,
      0.2817,
      0.2607,
      0.1377,
      0.5412,
      0.2261,
      0.3093,
      0.293,
      0.2017,
      0.2381,
      0.1523,
      0,
      0.2586,
      0.0707,
      0.3375,
      0.1454,
      0.3832,
      0.189,
      0.4881,
      0.1644,
      0.1297,
      0.4887,
      0.1305,
      0.2529,
      0.1563,
      0.1932,
      0.2444,
      0.2016,
      0.4075,
      0.4041,
      0.3541,
      0.2937,
      0.3537,
      0.1899,
      0,
      0.519,
      0.1453,
      0.2205,
      0.1562,
      0.1244,
      0.1864,
      0.1508,
      0.1204,
      0.2046,
      0.2172,
      0.075,
      0.2983,
      0.1317,
      0.1132,
      0.5486,
      0.1669,
      0.1552,
      0.1041,
      0.1348,
      0.1162,
      0,
      0.1211,
      0.1618,
      0.01,
      0,
      0,
      0,
      0,
      0,
      0.2803,
      0.1796,
      0.1362,
      0.3052,
      0.1184,
      0.12,
      0.0235,
      0.199,
      0.151,
      0.1278,
      0.2618,
      0.2998,
      0.0966,
      0.1409,
      0.2209,
      0.2326,
      0.2065,
      0.1419,
      0.0565,
      0.1164,
      0.1028,
      0.166,
      0.1332,
      0.1041,
      0.1652,
      0.2144,
      0.188,
      0.1475,
      0.1865,
      0.2066,
      0.1189,
      0.2547,
      0.191,
      0.181,
      0.1695,
      0.5688,
      0.0278,
      0.0763,
      0.3369,
      0.2836,
      0.2826,
      0.1638,
      0.1052,
      0.3813,
      0.1465,
      0.3034,
      0.2057,
      0.2568,
      0.0656,
      0.5307,
      0.3667,
      0.2956,
      0.3261,
      0.1061,
      0.3013,
      0.4336,
      0.2828,
      0.4375,
      0.4123,
      0.3076,
      0.4177,
      0.4406,
      0.0634,
      0.4368,
      0.1491,
      0,
      0.48,
      0.151,
      0.244,
      0.284,
      0.4807,
      0.0068,
      0.0582,
      0.4319,
      0.2984,
      0.2726,
      0.3312,
      0.2785,
      0.2731,
      0.2808,
      0.5384,
      0.3676,
      0.222,
      0.1445,
      0.2958,
      0.3989,
      0,
      0.2333,
      0.2133,
      0.1816,
      0.253,
      0.3469,
      0.2072,
      0.2613,
      0.5516,
      0.218,
      0.1069,
      0.2722,
      0.3598,
      0.3272,
      0.1544,
      0.3296,
      0.195,
      0.1999,
      0.2379,
      0.1979,
      0.4644,
      0.1808,
      0.4814,
      0.315,
      0.1917,
      0.4216,
      0.0468,
      0.3541,
      0.1968,
      0.3052,
      0.1646,
      0.0842,
      0.3369,
      0.4478,
      0.4339,
      0.3408,
      0.3786,
      0.1762,
      0.167,
      0.3356,
      0.192,
      0.2769,
      0.1688,
      0.1485,
      0.2595,
      0.1458,
      0.362,
      0.1123,
      0.3518,
      0.14,
      0.3838,
      0.3758,
      0.2613,
      0.518,
      0.1858,
      0.2014,
      0.1367,
      0.2394,
      0.2101,
      0.3365,
      0.2521,
      0.3222,
      0.2254,
      0.2526,
      0.4865,
      0.4484,
      0.0578,
      0.5452,
      0.3338,
      0,
      0.0998,
      0.2601,
      0.3537,
      0.3201,
      0.4606,
      0,
      0.3663,
      0.2761,
      0.2252,
      0.4269,
      0.0529,
      0.5074,
      0.2645,
      0.2506,
      0.3065,
      0.137,
      0.3398,
      0.3534,
      0.2233,
      0.3677,
      0.2366,
      0.2466,
      0.3441,
      0.4359,
      0.3288,
      0.441,
      0.4079,
      0.2354,
      0.4458,
      0.2781,
      0.3592,
      0.2359,
      0.2947,
      0.2706,
      0.2028,
      0.3541,
      0.1866,
      0.412,
      0.1592,
      0.3948,
      0.0857,
      0.2992,
      0.5054,
      0.0686,
      0.2498,
      0.0244,
      0.1855,
      0.1872,
      0.0399,
      0.3522,
      0.4099,
      0.3386,
      0.1462,
      0.3118,
      0.1565,
      0.1147,
      0.5455,
      0.1269,
      0.2773,
      0.282,
      0.1634,
      0.2887,
      0,
      0.3289,
      0.2864,
      0.3044,
      0.3532,
      0.3296,
      0.3673,
      0.2205,
      0.5236,
      0.2312,
      0.222,
      0.0998,
      0.2131,
      0.2082,
      0.2533,
      0.1815,
      0.2607,
      0.1916,
      0.2772,
      0.2919,
      0.4334,
      0.3324,
      0.5673,
      0.2925,
      0.2821,
      0.2605,
      0.2272,
      0.2331,
      0.2882,
      0,
      0.3425,
      0.1384,
      0.2844,
      0.2947,
      0.3883,
      0.1825,
      0.508,
      0.1118,
      0,
      0.4229,
      0.0759,
      0.2613,
      0.2347,
      0.1613,
      0.2213,
      0.2632,
      0.3532,
      0.422,
      0.3503,
      0.2458,
      0.3654,
      0.1995,
      0,
      0.5198,
      0.1156,
      0.2639,
      0.213,
      0.187,
      0.1931,
      0.125,
      0.13,
      0.2313,
      0.2235,
      0.0677,
      0.2992,
      0.1694,
      0.072,
      0.5681,
      0.1202,
      0.1179,
      0.1478,
      0.1677,
      0.1113,
      0.0803,
      0.053,
      0.0323,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2677,
      0.2239,
      0.2045,
      0.291,
      0.1338,
      0.1339,
      0.0632,
      0.1303,
      0.1015,
      0.1346,
      0.2864,
      0.1963,
      0.0565,
      0.1986,
      0.169,
      0.2078,
      0.2326,
      0.2312,
      0.11,
      0.1114,
      0.1273,
      0.1899,
      0.1322,
      0.1202,
      0.166,
      0.233,
      0.1494,
      0.1712,
      0.2519,
      0.2793,
      0.1401,
      0.2206,
      0.1882,
      0.1776,
      0.2279,
      0.4935,
      0.0011,
      0.142,
      0.3248,
      0.3273,
      0.3412,
      0.2555,
      0.1693,
      0.2356,
      0.2413,
      0.2519,
      0.2962,
      0.3923,
      0.0979,
      0.4495,
      0.4146,
      0.2454,
      0.4131,
      0.0649,
      0.3563,
      0.4393,
      0.3198,
      0.3869,
      0.4099,
      0.3366,
      0.3481,
      0.4024,
      0.0371,
      0.4727,
      0.2315,
      0,
      0.4999,
      0.3222,
      0.2397,
      0.2365,
      0.4699,
      0,
      0.173,
      0.418,
      0.3012,
      0.4641,
      0.4077,
      0.2593,
      0.3072,
      0.2512,
      0.4986,
      0.3224,
      0.1669,
      0.1544,
      0.3317,
      0.2665,
      0,
      0.2156,
      0.1623,
      0.1778,
      0.1328,
      0.316,
      0.2364,
      0.1748,
      0.4925,
      0.0322,
      0.1171,
      0.345,
      0.3407,
      0.3105,
      0.1872,
      0.3976,
      0.1486,
      0.262,
      0.282,
      0.1586,
      0.4175,
      0.1864,
      0.454,
      0.2391,
      0.1818,
      0.476,
      0.0218,
      0.3559,
      0.223,
      0.298,
      0.063,
      0.0494,
      0.3017,
      0.445,
      0.4143,
      0.4165,
      0.3886,
      0.187,
      0.2118,
      0.4334,
      0.1815,
      0.241,
      0.1835,
      0.1716,
      0.1828,
      0.1653,
      0.2849,
      0.1287,
      0.3763,
      0.2122,
      0.3675,
      0.154,
      0.2372,
      0.5175,
      0.1696,
      0.2298,
      0.2074,
      0.2141,
      0.2387,
      0.2074,
      0.1848,
      0.4089,
      0.2457,
      0.3472,
      0.5082,
      0.3286,
      0,
      0.5226,
      0.3644,
      0,
      0.1549,
      0.3022,
      0.3958,
      0.2198,
      0.4722,
      0,
      0.4793,
      0.282,
      0.2526,
      0.4461,
      0,
      0.4786,
      0.2647,
      0.1923,
      0.4383,
      0.1621,
      0.4049,
      0.4631,
      0.2738,
      0.2923,
      0.1735,
      0.2423,
      0.362,
      0.3951,
      0.2029,
      0.4576,
      0.1688,
      0.2246,
      0.4781,
      0.2315,
      0.3894,
      0.2315,
      0.2477,
      0.1379,
      0.1347,
      0.3184,
      0.1936,
      0.4083,
      0.1038,
      0.3502,
      0.0397,
      0.2882,
      0.5264,
      0.1035,
      0.324,
      0,
      0.2834,
      0.1043,
      0,
      0.4017,
      0.4033,
      0.3548,
      0.1802,
      0.3139,
      0.2121,
      0.1322,
      0.5182,
      0.1845,
      0.1675,
      0.2739,
      0.1796,
      0.3291,
      0,
      0.4292,
      0.3283,
      0.2906,
      0.402,
      0.2811,
      0.1868,
      0.2003,
      0.4456,
      0.195,
      0.1745,
      0.2328,
      0.1826,
      0.2804,
      0.2136,
      0.1952,
      0.4068,
      0.147,
      0.3033,
      0.2238,
      0.5693,
      0.2693,
      0.4981,
      0.2446,
      0.2852,
      0.3239,
      0.2732,
      0.2578,
      0.428,
      0.0227,
      0.342,
      0.1029,
      0.2037,
      0.2979,
      0.4488,
      0.2107,
      0.442,
      0.2195,
      0.1229,
      0.4878,
      0.0857,
      0.3029,
      0.1916,
      0.1888,
      0.2106,
      0.2429,
      0.356,
      0.404,
      0.378,
      0.1648,
      0.3794,
      0.1156,
      0,
      0.5014,
      0.0563,
      0.2626,
      0.2123,
      0.1319,
      0.1656,
      0.193,
      0.0867,
      0.2486,
      0.0875,
      0.1053,
      0.3384,
      0.1016,
      0.0975,
      0.5021,
      0.0341,
      0.1211,
      0.1402,
      0.2386,
      0.163,
      0.124,
      0.1338,
      0.1332,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2746,
      0.1859,
      0.2161,
      0.2637,
      0.1924,
      0.1062,
      0.0196,
      0.1675,
      0.2167,
      0.1334,
      0.3227,
      0.3221,
      0.0656,
      0.1634,
      0.1792,
      0.1402,
      0.1218,
      0.1975,
      0.1314,
      0.1172,
      0.1287,
      0.1757,
      0.1426,
      0.0589,
      0.1798,
      0.1374,
      0.218,
      0.1844,
      0.1274,
      0.2311,
      0.1035,
      0.2415,
      0.2502,
      0.1477,
      0.1949,
      0.5571,
      0,
      0.1787,
      0.2952,
      0.2648,
      0.1652,
      0.0672,
      0.1696,
      0.225,
      0.2003,
      0.1715,
      0.1523,
      0.2778,
      0,
      0.4845,
      0.4743,
      0.2611,
      0.4601,
      0.0594,
      0.3246,
      0.4124,
      0.3148,
      0.3352,
      0.3566,
      0.3721,
      0.3224,
      0.3521,
      0.0508,
      0.3877,
      0.2487,
      0,
      0.531,
      0,
      0.2062,
      0.2289,
      0.3022,
      0,
      0.2124,
      0.4547,
      0.3717,
      0.3684,
      0.365,
      0.2658,
      0.3081,
      0.1347,
      0.5954,
      0.2281,
      0.173,
      0.1587,
      0.2738,
      0.2938,
      0,
      0.2403,
      0.1023,
      0.1547,
      0.0969,
      0.3064,
      0.2569,
      0.1856,
      0.5047,
      0.0475,
      0.0498,
      0.3464,
      0.2742,
      0.2805,
      0.1269,
      0.3105,
      0.1252,
      0.2561,
      0.2624,
      0.1796,
      0.4378,
      0.2247,
      0.4575,
      0.2878,
      0.1927,
      0.4872,
      0,
      0.3922,
      0.2145,
      0.3035,
      0.126,
      0.0783,
      0.3856,
      0.4034,
      0.4081,
      0.3659,
      0.4169,
      0.2038,
      0.2204,
      0.4324,
      0.2166,
      0.2006,
      0.1172,
      0.1541,
      0.1743,
      0.1418,
      0.3477,
      0.2027,
      0.3512,
      0.1114,
      0.3913,
      0.1922,
      0.268,
      0.5292,
      0.1604,
      0.2247,
      0.1966,
      0.29,
      0.1414,
      0.1219,
      0.1412,
      0.3576,
      0.2279,
      0.1757,
      0.3287,
      0.4106,
      0,
      0.5019,
      0.1156,
      0,
      0.1198,
      0.2608,
      0.4311,
      0.2557,
      0.398,
      0,
      0.2901,
      0.2863,
      0.2834,
      0.4415,
      0.0453,
      0.52,
      0.2055,
      0.0553,
      0.3757,
      0.1256,
      0.4014,
      0.3106,
      0.211,
      0.29,
      0.0562,
      0.2901,
      0.2923,
      0.426,
      0.16,
      0.5021,
      0.2387,
      0.2332,
      0.4899,
      0.2076,
      0.4023,
      0.2124,
      0.2678,
      0.16,
      0.145,
      0.3676,
      0.2314,
      0.3717,
      0.0392,
      0.4852,
      0.0067,
      0.2259,
      0.5143,
      0.1262,
      0.2887,
      0.0219,
      0.3286,
      0.1117,
      0.0402,
      0.4208,
      0.421,
      0.3626,
      0.2147,
      0.3825,
      0.2621,
      0.1396,
      0.5082,
      0.1546,
      0.2298,
      0.2736,
      0.208,
      0.3496,
      0,
      0.3843,
      0.2461,
      0.2815,
      0.3484,
      0.3589,
      0.1788,
      0.2375,
      0.455,
      0.2284,
      0.2018,
      0.1488,
      0.2617,
      0.2469,
      0.1885,
      0.1811,
      0.191,
      0.188,
      0.1978,
      0.1896,
      0.2508,
      0.2401,
      0.5721,
      0.2272,
      0.28,
      0.3588,
      0.1389,
      0.1874,
      0.2057,
      0,
      0.2913,
      0.1535,
      0.2521,
      0.1625,
      0.3927,
      0.2019,
      0.5161,
      0.158,
      0.1167,
      0.5019,
      0,
      0.2168,
      0.1515,
      0.1834,
      0.2146,
      0.214,
      0.4258,
      0.3237,
      0.3055,
      0.259,
      0.4351,
      0.1604,
      0,
      0.5185,
      0.023,
      0.1923,
      0.2183,
      0.1634,
      0.1105,
      0.1482,
      0.1201,
      0.2456,
      0.1641,
      0.0761,
      0.3427,
      0.0984,
      0.0883,
      0.5681,
      0.0688,
      0.1091,
      0.1533,
      0.1959,
      0.1055,
      0.0609,
      0.1679,
      0.146,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2282,
      0.1539,
      0.1861,
      0.301,
      0.2116,
      0.1883,
      0,
      0.1396,
      0.0912,
      0.1927,
      0.3216,
      0.2976,
      0.2275,
      0.1554,
      0.2408,
      0.121,
      0.2599,
      0.2203,
      0.1254,
      0.2731,
      0.0457,
      0.2448,
      0.1276,
      0.0476,
      0.21,
      0.1235,
      0.2045,
      0.1189,
      0.1526,
      0.2379,
      0.2026,
      0.1971,
      0.2343,
      0.118,
      0.1768,
      0.5355,
      0.0147,
      0.217,
      0.2293,
      0.5105,
      0.2471,
      0.1072,
      0.2092,
      0.257,
      0.1979,
      0.1767,
      0.1806,
      0.1874,
      0.0037,
      0.4995,
      0.4632,
      0.2559,
      0.371,
      0.2328,
      0.3522,
      0.3695,
      0.3153,
      0.373,
      0.3339,
      0.3601,
      0.4046,
      0.3645,
      0.0219,
      0.4583,
      0.1496,
      0,
      0.4823,
      0,
      0.1917,
      0.2167,
      0.3049,
      0,
      0.2497,
      0.4722,
      0.2743,
      0.233,
      0.2852,
      0.2827,
      0.2752,
      0.1587,
      0.5741,
      0.1969,
      0.1517,
      0.0769,
      0.313,
      0.2146,
      0,
      0.2298,
      0.1432,
      0.2583,
      0.1307,
      0.2791,
      0.2472,
      0.163,
      0.5232,
      0.0947,
      0.117,
      0.2651,
      0.2972,
      0.3117,
      0.1061,
      0.2822,
      0.1804,
      0.2197,
      0.285,
      0.1494,
      0.4382,
      0.2054,
      0.48,
      0.3349,
      0.1592,
      0.4271,
      0,
      0.3693,
      0.174,
      0.3182,
      0.2051,
      0.1151,
      0.3754,
      0.3928,
      0.3457,
      0.261,
      0.3504,
      0.1206,
      0.2323,
      0.373,
      0.1442,
      0.2754,
      0.1875,
      0.1853,
      0.2342,
      0.2267,
      0.3901,
      0.2075,
      0.2957,
      0.1035,
      0.3092,
      0.26,
      0.5059,
      0.506,
      0.1887,
      0.0896,
      0.3102,
      0.1988,
      0.2164,
      0.2195,
      0.2342,
      0.2584,
      0.2098,
      0.1537,
      0.4893,
      0.401,
      0,
      0.5131,
      0.1233,
      0,
      0.1177,
      0.2703,
      0.4063,
      0.243,
      0.3978,
      0,
      0.2619,
      0.3214,
      0.1687,
      0.2921,
      0,
      0.5095,
      0.2926,
      0.0691,
      0.2948,
      0.1982,
      0.3938,
      0.2424,
      0.2513,
      0.2433,
      0,
      0.234,
      0.37,
      0.476,
      0.0842,
      0.4718,
      0.2209,
      0.2178,
      0.4053,
      0.2475,
      0.3987,
      0.1849,
      0.2377,
      0.0595,
      0.1271,
      0.3797,
      0.1317,
      0.3689,
      0.166,
      0.4437,
      0,
      0.2404,
      0.4716,
      0.0819,
      0.2691,
      0.0401,
      0.2597,
      0.1224,
      0.0195,
      0.3957,
      0.405,
      0.2343,
      0.2573,
      0.3422,
      0.2509,
      0.2092,
      0.5148,
      0.0853,
      0.1959,
      0.2632,
      0.22,
      0.3155,
      0,
      0.3763,
      0.2337,
      0.3118,
      0.3055,
      0.3847,
      0.2416,
      0.5177,
      0.4916,
      0.2331,
      0.2173,
      0.3417,
      0.2597,
      0.2352,
      0.1127,
      0.2207,
      0.1818,
      0.1171,
      0.1825,
      0.3574,
      0.2364,
      0.1936,
      0.5514,
      0.3466,
      0.221,
      0.2932,
      0.1329,
      0.1941,
      0.1188,
      0,
      0.3861,
      0.1498,
      0.3312,
      0.1476,
      0.3745,
      0.1959,
      0.5209,
      0.0871,
      0.0153,
      0.4192,
      0,
      0.2235,
      0.2259,
      0.2779,
      0.2066,
      0.2244,
      0.3774,
      0.3807,
      0.2816,
      0.2798,
      0.3409,
      0.1423,
      0.0662,
      0.4802,
      0,
      0.1526,
      0.1879,
      0.1861,
      0.1333,
      0.1154,
      0.1617,
      0.2177,
      0.2047,
      0.0471,
      0.2523,
      0.1156,
      0.161,
      0.4957,
      0.0516,
      0.0671,
      0.1208,
      0.1704,
      0.1034,
      0.1132,
      0.1583,
      0.112,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3513,
      0.1142,
      0.2139,
      0.275,
      0.1702,
      0.1828,
      0,
      0.1793,
      0.0914,
      0.1611,
      0.3054,
      0.2797,
      0.1928,
      0.1903,
      0.2752,
      0.2112,
      0.2316,
      0.1921,
      0.0806,
      0.1776,
      0.0683,
      0.2264,
      0.1073,
      0.0724,
      0.1968,
      0.1046,
      0.1748,
      0.101,
      0.1222,
      0.1876,
      0.1929,
      0.1864,
      0.2156,
      0.1149,
      0.1014,
      0.5715,
      0,
      0.157,
      0.2949,
      0.5446,
      0.2636,
      0.1443,
      0.183,
      0.2351,
      0.209,
      0.2664,
      0.1582,
      0.2385,
      0,
      0.555,
      0.4741,
      0.2605,
      0.4057,
      0.1442,
      0.3275,
      0.4269,
      0.3311,
      0.3402,
      0.3357,
      0.3929,
      0.4595,
      0.3705,
      0,
      0.4886,
      0.1111,
      0,
      0.5139,
      0,
      0.1404,
      0.2297,
      0.2773,
      0,
      0.2257,
      0.5073,
      0.323,
      0.1881,
      0.2697,
      0.2758,
      0.2928,
      0.1809,
      0.581,
      0.2193,
      0.1416,
      0,
      0.3113,
      0.2781,
      0,
      0.2372,
      0.1896,
      0.1748,
      0.103,
      0.227,
      0.2482,
      0.0539,
      0.5836,
      0.0632,
      0.046,
      0.3837,
      0.2519,
      0.3259,
      0.1059,
      0.2692,
      0.2277,
      0.196,
      0.3382,
      0.1573,
      0.4783,
      0.2271,
      0.5285,
      0.2265,
      0.1333,
      0.4853,
      0.0061,
      0.3837,
      0.1567,
      0.2882,
      0.2927,
      0.0959,
      0.3992,
      0.4433,
      0.3989,
      0.2837,
      0.31,
      0.0772,
      0.2911,
      0.4243,
      0.2381,
      0.2017,
      0.2919,
      0.1965,
      0.2277,
      0.2013,
      0.41,
      0.2582,
      0.3176,
      0.1702,
      0.2584,
      0.2271,
      0.4707,
      0.5316,
      0.1803,
      0.2946,
      0.1911,
      0.2082,
      0.195,
      0.195,
      0.2787,
      0.3292,
      0.1232,
      0.1922,
      0.4511,
      0.4139,
      0,
      0.5499,
      0.1025,
      0,
      0.2506,
      0.2576,
      0.4162,
      0.233,
      0.4385,
      0,
      0.2533,
      0.2944,
      0.1475,
      0.3744,
      0.0031,
      0.5467,
      0.2447,
      0.2319,
      0.3939,
      0.1927,
      0.3866,
      0.3044,
      0.2149,
      0.1708,
      0.064,
      0.2648,
      0.4187,
      0.5092,
      0.121,
      0.4585,
      0.251,
      0.1954,
      0.4737,
      0.2651,
      0.4079,
      0.1441,
      0.2079,
      0.1212,
      0.1436,
      0.4032,
      0.2186,
      0.4325,
      0.1406,
      0.3986,
      0,
      0.1852,
      0.4974,
      0.1113,
      0.2756,
      0.0651,
      0.2135,
      0.1453,
      0.0497,
      0.3706,
      0.4299,
      0.3155,
      0.3081,
      0.2511,
      0.2818,
      0.0994,
      0.5478,
      0.157,
      0.2516,
      0.2098,
      0.1632,
      0.3301,
      0,
      0.4298,
      0.2216,
      0.1519,
      0.3795,
      0.3909,
      0.2407,
      0.4579,
      0.5141,
      0.1139,
      0.279,
      0.2299,
      0.2118,
      0.2534,
      0.1949,
      0.2365,
      0.2634,
      0.1652,
      0.1603,
      0.283,
      0.2761,
      0.1925,
      0.5833,
      0.3291,
      0.2296,
      0.3353,
      0.1446,
      0.1685,
      0.1739,
      0,
      0.3927,
      0.1404,
      0.3505,
      0.1847,
      0.4273,
      0.1457,
      0.5252,
      0.1046,
      0,
      0.4814,
      0.1517,
      0.1701,
      0.1783,
      0.2357,
      0.1277,
      0.196,
      0.3972,
      0.4553,
      0.2964,
      0.2284,
      0.3925,
      0.0976,
      0,
      0.5113,
      0,
      0.2748,
      0.2098,
      0.1821,
      0.1425,
      0.188,
      0.1391,
      0.2781,
      0.0289,
      0.0869,
      0.3067,
      0.0126,
      0.0681,
      0.551,
      0.1645,
      0.1481,
      0.1498,
      0.1781,
      0.1488,
      0.1108,
      0.1213,
      0.1768,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3355,
      0.1474,
      0.209,
      0.2288,
      0.1116,
      0.1248,
      0.0131,
      0.171,
      0.2052,
      0.1838,
      0.1948,
      0.3474,
      0.1658,
      0.1535,
      0.2009,
      0.2215,
      0.2289,
      0.2404,
      0,
      0.1541,
      0.0646,
      0.2827,
      0.1361,
      0.0642,
      0.2604,
      0.1639,
      0.2145,
      0.1325,
      0.1343,
      0.1823,
      0.1752,
      0.1387,
      0.2384,
      0.1099,
      0.0671,
      0.6042,
      0.0267,
      0.1754,
      0.2906,
      0.216,
      0.2027,
      0.209,
      0.2331,
      0.2836,
      0.2774,
      0.2027,
      0.2031,
      0.245,
      0,
      0.5641,
      0.3704,
      0.2365,
      0.4802,
      0.1461,
      0.3238,
      0.4882,
      0.3367,
      0.3687,
      0.3073,
      0.2726,
      0.402,
      0.309,
      0,
      0.4138,
      0.1405,
      0,
      0.5246,
      0,
      0.2184,
      0.3389,
      0.2823,
      0,
      0.2712,
      0.3856,
      0.3709,
      0.2227,
      0.2846,
      0.2824,
      0.2724,
      0.1507,
      0.6323,
      0.2146,
      0.0535,
      0,
      0.32,
      0.2778,
      0,
      0.2215,
      0.2052,
      0.1774,
      0.1926,
      0.1657,
      0.2697,
      0.1622,
      0.6151,
      0.1076,
      0.1312,
      0.3757,
      0.3015,
      0.3417,
      0.1305,
      0.2507,
      0.1786,
      0.216,
      0.2751,
      0.1478,
      0.3244,
      0.1971,
      0.5486,
      0.2465,
      0.1524,
      0.4921,
      0.0844,
      0.2629,
      0.2127,
      0.1669,
      0.2343,
      0.0571,
      0.3408,
      0.3547,
      0.3906,
      0.2595,
      0.3422,
      0.1793,
      0.2279,
      0.4579,
      0.1611,
      0.206,
      0.1733,
      0,
      0.2168,
      0.1911,
      0.2359,
      0.2314,
      0.3224,
      0.2044,
      0.2512,
      0.194,
      0.3235,
      0.5841,
      0.2272,
      0.2369,
      0.1543,
      0.2268,
      0.1886,
      0.2151,
      0.3037,
      0.3079,
      0.1272,
      0.1801,
      0.3966,
      0.2712,
      0,
      0.593,
      0.1457,
      0.0042,
      0.3441,
      0.2753,
      0.3199,
      0.2283,
      0.3614,
      0,
      0.2623,
      0.373,
      0.2443,
      0.3598,
      0,
      0.5306,
      0.2384,
      0.2381,
      0.3784,
      0.1508,
      0.3182,
      0.2622,
      0.2163,
      0.1313,
      0.0249,
      0.1889,
      0.2348,
      0.3297,
      0.1988,
      0.3483,
      0.2977,
      0.2806,
      0.504,
      0.2276,
      0.3239,
      0.0402,
      0.1072,
      0.0957,
      0.17,
      0.2961,
      0.1907,
      0.351,
      0.1312,
      0.3943,
      0.0502,
      0.26,
      0.5535,
      0,
      0.2602,
      0.0112,
      0.243,
      0.1874,
      0,
      0.3313,
      0.3211,
      0.3326,
      0.1934,
      0.3362,
      0.2036,
      0.0932,
      0.5462,
      0.1124,
      0.2863,
      0.1177,
      0.1808,
      0.2783,
      0,
      0.4019,
      0.3198,
      0.2392,
      0.342,
      0.367,
      0.201,
      0.0996,
      0.4586,
      0.2003,
      0.2264,
      0.1802,
      0.1999,
      0.1747,
      0.1611,
      0.2598,
      0.2348,
      0.1316,
      0.1802,
      0.2149,
      0.1914,
      0.2479,
      0.5884,
      0.2217,
      0.273,
      0.3456,
      0.1837,
      0.2064,
      0.266,
      0,
      0.3433,
      0.1392,
      0.242,
      0.2068,
      0.3677,
      0.1805,
      0.4841,
      0.1707,
      0.0164,
      0.5094,
      0.1743,
      0.1907,
      0.1299,
      0.2539,
      0.1336,
      0.2454,
      0.3039,
      0.342,
      0.2313,
      0.2684,
      0.3863,
      0.1124,
      0,
      0.541,
      0.122,
      0.292,
      0.0956,
      0.1213,
      0.2655,
      0.0859,
      0.1602,
      0.263,
      0.133,
      0.0443,
      0.3191,
      0.0507,
      0.1291,
      0.5563,
      0.116,
      0.1678,
      0.1703,
      0.1791,
      0.0929,
      0.1073,
      0.0901,
      0.1337,
      0.0214,
      0,
      0,
      0,
      0,
      0,
      0.2993,
      0.1243,
      0.2248,
      0.2313,
      0.273,
      0.088,
      0,
      0.1292,
      0.1549,
      0.1238,
      0.2385,
      0.2547,
      0.1171,
      0.2403,
      0.2567,
      0.2022,
      0.2729,
      0.1567,
      0.0346,
      0.1697,
      0.0884,
      0.1725,
      0.162,
      0.085,
      0.1969,
      0.1726,
      0.1347,
      0.1376,
      0.1348,
      0.0903,
      0.1544,
      0.0587,
      0.1329,
      0.1207,
      0.0761,
      0.5438,
      0.0127,
      0.1649,
      0.2409,
      0.2316,
      0.2436,
      0.3114,
      0.2206,
      0.3771,
      0.3188,
      0.2428,
      0.1962,
      0.1905,
      0,
      0.5099,
      0.3878,
      0.1755,
      0.446,
      0.1036,
      0.3215,
      0.4515,
      0.3175,
      0.3793,
      0.3438,
      0.3236,
      0.4788,
      0.2939,
      0,
      0.4292,
      0.1644,
      0,
      0.4542,
      0.0297,
      0.2025,
      0.3717,
      0.3188,
      0,
      0.3727,
      0.357,
      0.3092,
      0.2078,
      0.3126,
      0.3184,
      0.3033,
      0.1952,
      0.5135,
      0.1698,
      0.1326,
      0.0526,
      0.3302,
      0.2437,
      0.0699,
      0.1222,
      0.2017,
      0.1799,
      0.0925,
      0.2726,
      0.2888,
      0.146,
      0.5779,
      0.1552,
      0.1486,
      0.3181,
      0.3188,
      0.3391,
      0.1008,
      0.3074,
      0.1801,
      0.2225,
      0.2651,
      0.1359,
      0.3742,
      0.1793,
      0.4981,
      0.228,
      0.1705,
      0.3387,
      0.0971,
      0.2869,
      0.1842,
      0.2257,
      0.165,
      0.0945,
      0.269,
      0.3222,
      0.2895,
      0.3525,
      0.4185,
      0.2348,
      0.2264,
      0.3049,
      0.2095,
      0.1956,
      0.1689,
      0.0645,
      0.1762,
      0.2459,
      0.2719,
      0.1933,
      0.3052,
      0.1698,
      0.3484,
      0.3026,
      0.3675,
      0.5126,
      0.2629,
      0.256,
      0.1937,
      0.2124,
      0.2498,
      0.3202,
      0.2693,
      0.2124,
      0.1887,
      0.1564,
      0.3322,
      0.2707,
      0.0157,
      0.5446,
      0.109,
      0,
      0.3848,
      0.3221,
      0.3201,
      0.2937,
      0.3969,
      0,
      0.2567,
      0.3518,
      0.2388,
      0.336,
      0.0316,
      0.515,
      0.3112,
      0.0663,
      0.2991,
      0.2613,
      0.3154,
      0.2414,
      0.2109,
      0.2674,
      0.0395,
      0.1497,
      0.274,
      0.3623,
      0.1963,
      0.4119,
      0.2689,
      0.305,
      0.3915,
      0.2334,
      0.3104,
      0.0969,
      0.2588,
      0.1669,
      0.1705,
      0.2743,
      0.09,
      0.3278,
      0.1803,
      0.3427,
      0.1218,
      0.3259,
      0.5148,
      0.1053,
      0.2346,
      0,
      0.2887,
      0.2359,
      0.0957,
      0.3337,
      0.3863,
      0.2552,
      0.2444,
      0.3485,
      0.1926,
      0.1074,
      0.5458,
      0.1214,
      0.251,
      0.1619,
      0.18,
      0.2118,
      0,
      0.3891,
      0.3207,
      0.2622,
      0.2835,
      0.3509,
      0.3126,
      0.2735,
      0.482,
      0.3045,
      0.2581,
      0.193,
      0.2205,
      0.1489,
      0.3508,
      0.2418,
      0.1857,
      0.1406,
      0.1475,
      0.1851,
      0.2312,
      0.2906,
      0.5506,
      0.2734,
      0.2862,
      0.3228,
      0.2797,
      0.1667,
      0.2378,
      0,
      0.3158,
      0.1631,
      0.2473,
      0.183,
      0.3112,
      0.2773,
      0.479,
      0.2475,
      0,
      0.3951,
      0.1387,
      0.177,
      0.1129,
      0.2409,
      0.1258,
      0.2269,
      0.2781,
      0.31,
      0.2829,
      0.1958,
      0.3569,
      0.0361,
      0.0727,
      0.5276,
      0.2297,
      0.2827,
      0.1071,
      0.0971,
      0.2348,
      0.0886,
      0.1651,
      0.1898,
      0.2006,
      0.1048,
      0.3102,
      0.0971,
      0.0793,
      0.5246,
      0.1073,
      0.1037,
      0.1413,
      0.0701,
      0.1333,
      0.0504,
      0,
      0.0282,
      0,
      0,
      0,
      0,
      0,
      0,
      0.284,
      0.097,
      0.1196,
      0.2646,
      0.2197,
      0.1258,
      0,
      0.1633,
      0.1089,
      0.0297,
      0.2425,
      0.2737,
      0.1866,
      0.2661,
      0.28,
      0.2394,
      0.2613,
      0.2349,
      0,
      0.1361,
      0.1244,
      0.2802,
      0.1468,
      0.0896,
      0.2592,
      0.139,
      0.1639,
      0.1162,
      0.1494,
      0.2462,
      0.0837,
      0.1842,
      0.2866,
      0.1323,
      0.1743,
      0.4657,
      0,
      0.164,
      0.2665,
      0.2498,
      0.2007,
      0.1683,
      0.141,
      0.2578,
      0.2235,
      0.2076,
      0.2048,
      0.1877,
      0.0516,
      0.5659,
      0.4485,
      0.1724,
      0.4874,
      0.1004,
      0.3175,
      0.3829,
      0.3589,
      0.318,
      0.3696,
      0.3482,
      0.3058,
      0.2777,
      0.0154,
      0.5119,
      0.1632,
      0,
      0.4453,
      0,
      0.1785,
      0.2524,
      0.4213,
      0,
      0.3628,
      0.3917,
      0.313,
      0.261,
      0.3323,
      0.4206,
      0.3055,
      0.2403,
      0.5345,
      0.2385,
      0.1429,
      0.0334,
      0.2229,
      0.2718,
      0,
      0.1713,
      0.1658,
      0.1766,
      0.2336,
      0.3095,
      0.2133,
      0.1374,
      0.4888,
      0.0434,
      0.04,
      0.309,
      0.2272,
      0.3658,
      0.1482,
      0.2632,
      0.1686,
      0.2222,
      0.2949,
      0.1932,
      0.404,
      0.1465,
      0.5326,
      0.2347,
      0.1567,
      0.4502,
      0.1251,
      0.3443,
      0.1557,
      0.2604,
      0.1175,
      0.0409,
      0.3102,
      0.3379,
      0.366,
      0.2734,
      0.4811,
      0.2404,
      0.1974,
      0.3918,
      0.1984,
      0.1622,
      0.1181,
      0.1732,
      0.1364,
      0.1853,
      0.2867,
      0.1991,
      0.3071,
      0.1256,
      0.4232,
      0.2637,
      0.3383,
      0.4449,
      0.1582,
      0.2361,
      0.1862,
      0.1688,
      0.2635,
      0.3178,
      0.2348,
      0.2028,
      0.2231,
      0.1802,
      0.3424,
      0.3405,
      0,
      0.476,
      0.1963,
      0,
      0.2247,
      0.2628,
      0.3402,
      0.3726,
      0.4207,
      0,
      0.1657,
      0.3231,
      0.2827,
      0.4078,
      0.0805,
      0.5353,
      0.3142,
      0.1995,
      0.3534,
      0.1459,
      0.3138,
      0.1918,
      0.1633,
      0.3705,
      0.0944,
      0.2105,
      0.3199,
      0.4023,
      0.2272,
      0.5221,
      0.3552,
      0.2878,
      0.4477,
      0.2959,
      0.3419,
      0.1329,
      0.25,
      0.1491,
      0.138,
      0.3405,
      0.0652,
      0.3353,
      0.1971,
      0.4503,
      0.0785,
      0.2274,
      0.5044,
      0.1051,
      0.2766,
      0.0227,
      0.2447,
      0.2122,
      0.0638,
      0.3487,
      0.3921,
      0.2928,
      0.1433,
      0.4266,
      0.1183,
      0.1376,
      0.5519,
      0.1591,
      0.2771,
      0.1834,
      0.1914,
      0.2733,
      0,
      0.3756,
      0.258,
      0.2296,
      0.3584,
      0.3628,
      0.2316,
      0.2712,
      0.5063,
      0.2075,
      0.2421,
      0.2046,
      0.1736,
      0.2556,
      0.3093,
      0.2516,
      0.2174,
      0.1047,
      0.1994,
      0.2902,
      0.2564,
      0.2226,
      0.543,
      0.2341,
      0.2746,
      0.3103,
      0.219,
      0.1775,
      0.2142,
      0,
      0.3279,
      0.2449,
      0.2212,
      0.1661,
      0.2963,
      0.271,
      0.532,
      0.1571,
      0,
      0.4565,
      0.126,
      0.2728,
      0.1641,
      0.2361,
      0.1803,
      0.2058,
      0.2903,
      0.3518,
      0.2498,
      0.2057,
      0.4815,
      0.139,
      0.0249,
      0.5304,
      0.1522,
      0.2048,
      0.1653,
      0.1605,
      0.2492,
      0.1118,
      0.1062,
      0.2131,
      0.0803,
      0.0894,
      0.3484,
      0.0131,
      0.0801,
      0.5672,
      0.1526,
      0.1208,
      0.1173,
      0.0583,
      0.1521,
      0,
      0.0171,
      0.0015,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3101,
      0.1232,
      0.2575,
      0.1796,
      0.0953,
      0.1065,
      0,
      0.0503,
      0.1108,
      0.1518,
      0.2719,
      0.2765,
      0.1785,
      0.1717,
      0.2157,
      0.1953,
      0.2022,
      0.231,
      0.1004,
      0.1589,
      0.0909,
      0.2341,
      0.0793,
      0.0348,
      0.1957,
      0.1353,
      0.1612,
      0.1079,
      0.1664,
      0.1684,
      0.1234,
      0.2735,
      0.2975,
      0.0624,
      0.2564,
      0.5089,
      0.0361,
      0.094,
      0.2571,
      0.2763,
      0.2442,
      0.2413,
      0.1137,
      0.2686,
      0.2701,
      0.227,
      0.3566,
      0.3359,
      0.087,
      0.5459,
      0.4569,
      0.2263,
      0.3862,
      0.0816,
      0.3096,
      0.4743,
      0.3395,
      0.3559,
      0.3806,
      0.3752,
      0.3515,
      0.3272,
      0.0316,
      0.5591,
      0.2477,
      0,
      0.4631,
      0.1974,
      0.2404,
      0.2534,
      0.4236,
      0.0496,
      0.2647,
      0.4167,
      0.2462,
      0.4729,
      0.4209,
      0.3226,
      0.2687,
      0.2347,
      0.5329,
      0.4871,
      0.3081,
      0.0523,
      0.2512,
      0.4386,
      0,
      0.1769,
      0.1821,
      0.1634,
      0.2056,
      0.334,
      0.3122,
      0.1718,
      0.4867,
      0.0551,
      0.0664,
      0.3311,
      0.2598,
      0.2323,
      0.133,
      0.299,
      0.1232,
      0.2676,
      0.2929,
      0.191,
      0.4153,
      0.2993,
      0.5083,
      0.2375,
      0.2225,
      0.365,
      0.0795,
      0.3793,
      0.157,
      0.336,
      0.2018,
      0.0329,
      0.3679,
      0.3585,
      0.3016,
      0.218,
      0.4379,
      0.1215,
      0.2145,
      0.3405,
      0.1991,
      0.1565,
      0.1803,
      0.1961,
      0.1926,
      0.1389,
      0.2569,
      0.2208,
      0.2844,
      0.1017,
      0.3693,
      0.2244,
      0.3191,
      0.4651,
      0.2319,
      0.1421,
      0.1534,
      0.1358,
      0.2681,
      0.3082,
      0.322,
      0.3164,
      0.167,
      0.3195,
      0.458,
      0.4317,
      0,
      0.4827,
      0.306,
      0,
      0.158,
      0.2261,
      0.3887,
      0.2638,
      0.4512,
      0,
      0.4215,
      0.2903,
      0.2488,
      0.3887,
      0.0433,
      0.4935,
      0.2758,
      0.2969,
      0.3845,
      0.1175,
      0.3713,
      0.3356,
      0.2284,
      0.3728,
      0.1755,
      0.3086,
      0.4391,
      0.4419,
      0.3704,
      0.512,
      0.4931,
      0.2613,
      0.4885,
      0.3319,
      0.3681,
      0.147,
      0.2676,
      0.1887,
      0.1648,
      0.2764,
      0.1487,
      0.3468,
      0.2129,
      0.44,
      0,
      0.2148,
      0.3933,
      0.1564,
      0.2473,
      0.0727,
      0.2334,
      0.2197,
      0,
      0.3806,
      0.3976,
      0.2189,
      0.2079,
      0.3437,
      0.2537,
      0.1493,
      0.5359,
      0.1711,
      0.2423,
      0.3193,
      0.1961,
      0.3667,
      0,
      0.3744,
      0.2534,
      0.2879,
      0.3566,
      0.3471,
      0.2565,
      0.2632,
      0.4814,
      0.1839,
      0.1762,
      0.1696,
      0.1384,
      0.3167,
      0.3343,
      0.3118,
      0.3573,
      0.1167,
      0.26,
      0.2634,
      0.4075,
      0.2269,
      0.4657,
      0.1981,
      0.2674,
      0.284,
      0.2196,
      0.2605,
      0.3812,
      0,
      0.3461,
      0.279,
      0.3368,
      0.1051,
      0.2616,
      0.2579,
      0.5,
      0.1692,
      0,
      0.4289,
      0.1201,
      0.2164,
      0.1632,
      0.2327,
      0.249,
      0.181,
      0.4101,
      0.3594,
      0.26,
      0.2102,
      0.4082,
      0.1467,
      0.0336,
      0.459,
      0.1946,
      0.2647,
      0.162,
      0.1621,
      0.1183,
      0.169,
      0.0541,
      0.1996,
      0.0753,
      0.107,
      0.2718,
      0.0659,
      0.1195,
      0.5321,
      0.1509,
      0.1223,
      0.1666,
      0.1546,
      0.0567,
      0.024,
      0.0152,
      0.1168,
      0.0049,
      0,
      0,
      0,
      0,
      0,
      0.3231,
      0.0869,
      0.2599,
      0.2743,
      0.2227,
      0.1141,
      0.0081,
      0.0984,
      0.1838,
      0.1572,
      0.2698,
      0.2532,
      0.1491,
      0.2331,
      0.1948,
      0.1362,
      0.2495,
      0.2115,
      0.0326,
      0.1788,
      0.1765,
      0.1495,
      0.1728,
      0,
      0.1931,
      0.1311,
      0.1995,
      0.1282,
      0.1556,
      0.2547,
      0.1441,
      0.2468,
      0.2452,
      0.0515,
      0.2265,
      0.4977,
      0,
      0.1248,
      0.2086,
      0.2465,
      0.2528,
      0.2879,
      0.1799,
      0.3338,
      0.2642,
      0.2562,
      0.1933,
      0.2054,
      0.0655,
      0.4929,
      0.4899,
      0.136,
      0.3552,
      0.1616,
      0.306,
      0.4591,
      0.3367,
      0.2863,
      0.3299,
      0.3587,
      0.3811,
      0.2999,
      0.0616,
      0.4805,
      0.2662,
      0,
      0.4139,
      0.0248,
      0.2592,
      0.2662,
      0.3111,
      0,
      0.3116,
      0.426,
      0.2128,
      0.4333,
      0.368,
      0.3485,
      0.2961,
      0.231,
      0.4849,
      0.418,
      0.229,
      0.0796,
      0.2015,
      0.3298,
      0,
      0.2018,
      0.1899,
      0.1542,
      0.2148,
      0.2858,
      0.2593,
      0.0872,
      0.4963,
      0.041,
      0.1332,
      0.3466,
      0.2942,
      0.2436,
      0.2212,
      0.2636,
      0.1372,
      0.2843,
      0.3111,
      0.2048,
      0.3973,
      0.1839,
      0.4747,
      0.2039,
      0.2101,
      0.3684,
      0.1223,
      0.3511,
      0.0967,
      0.2748,
      0.24,
      0.0149,
      0.3445,
      0.4015,
      0.3294,
      0.2252,
      0.4419,
      0.1959,
      0.1823,
      0.302,
      0.0973,
      0.1903,
      0.2044,
      0.1657,
      0.2209,
      0.0531,
      0.2842,
      0.1865,
      0.222,
      0.1286,
      0.3481,
      0.2802,
      0.2364,
      0.4373,
      0.2195,
      0.1084,
      0.2543,
      0.153,
      0.1923,
      0.1724,
      0.2339,
      0.2363,
      0.0928,
      0.1399,
      0.3467,
      0.3789,
      0,
      0.4723,
      0.3713,
      0.0059,
      0.2566,
      0.1948,
      0.373,
      0.2372,
      0.4417,
      0,
      0.1762,
      0.3515,
      0.256,
      0.4271,
      0.0528,
      0.4752,
      0.2513,
      0.3334,
      0.3195,
      0.1276,
      0.3313,
      0.2743,
      0.223,
      0.2376,
      0.0174,
      0.3085,
      0.301,
      0.4176,
      0.2738,
      0.502,
      0.4048,
      0.2591,
      0.4498,
      0.2566,
      0.3541,
      0.1845,
      0.1552,
      0.1802,
      0.1475,
      0.285,
      0.0774,
      0.344,
      0.12,
      0.3689,
      0.0653,
      0.2797,
      0.4321,
      0.2054,
      0.2769,
      0.009,
      0.2109,
      0.2072,
      0.0145,
      0.3834,
      0.3404,
      0.2444,
      0.2192,
      0.3944,
      0.2816,
      0.1803,
      0.4564,
      0.1569,
      0.2411,
      0.3156,
      0.1151,
      0.3414,
      0,
      0.335,
      0.0939,
      0.3181,
      0.3716,
      0.3409,
      0.232,
      0.2363,
      0.4651,
      0.1979,
      0.2495,
      0.282,
      0.2586,
      0.2417,
      0.1839,
      0.2908,
      0.2018,
      0.2177,
      0.257,
      0.2342,
      0.2368,
      0.1696,
      0.499,
      0.2459,
      0.2514,
      0.2792,
      0.1779,
      0.1784,
      0.1977,
      0,
      0.2509,
      0.1017,
      0.3287,
      0.1989,
      0.3503,
      0.1502,
      0.4236,
      0.208,
      0.0918,
      0.4091,
      0.1571,
      0.1949,
      0.1729,
      0.2027,
      0.2604,
      0.2384,
      0.3769,
      0.3802,
      0.2444,
      0.2144,
      0.3448,
      0.1879,
      0.0598,
      0.4409,
      0.217,
      0.2486,
      0.2208,
      0.0458,
      0.2373,
      0.0795,
      0.1278,
      0.1561,
      0.1665,
      0.131,
      0.3105,
      0.0836,
      0.0939,
      0.4669,
      0.1607,
      0.1081,
      0.1147,
      0.1313,
      0.1344,
      0.0401,
      0.096,
      0.1088,
      0.0051,
      0,
      0,
      0,
      0,
      0,
      0.2702,
      0.1464,
      0.2632,
      0.2388,
      0.2587,
      0.1213,
      0.0078,
      0.162,
      0.1951,
      0.183,
      0.2512,
      0.1914,
      0.1772,
      0.1139,
      0.2646,
      0.2135,
      0.2134,
      0.1841,
      0.0999,
      0.244,
      0.1628,
      0.2065,
      0.0873,
      0.0448,
      0.1483,
      0.0766,
      0.1878,
      0.1452,
      0.1226,
      0.2512,
      0.1719,
      0.1785,
      0.1734,
      0.0985,
      0.1358,
      0.4864,
      0.0319,
      0.1252,
      0.2569,
      0.3871,
      0.4242,
      0.2926,
      0.2332,
      0.2361,
      0.1917,
      0.1446,
      0.1593,
      0.1867,
      0.0567,
      0.5246,
      0.4818,
      0.1499,
      0.4058,
      0.2645,
      0.3265,
      0.4608,
      0.365,
      0.2789,
      0.2542,
      0.4158,
      0.3835,
      0.2634,
      0.0802,
      0.4475,
      0.2851,
      0,
      0.4673,
      0,
      0.2957,
      0.2495,
      0.217,
      0,
      0.3015,
      0.4508,
      0.2628,
      0.233,
      0.3251,
      0.2925,
      0.3004,
      0.2052,
      0.4854,
      0.2211,
      0.1447,
      0,
      0.2469,
      0.3456,
      0,
      0.1898,
      0.1926,
      0.1387,
      0.1746,
      0.2689,
      0.2396,
      0.1035,
      0.4823,
      0.0527,
      0.056,
      0.3727,
      0.2279,
      0.2336,
      0.1614,
      0.2979,
      0.1445,
      0.273,
      0.354,
      0.1683,
      0.3851,
      0.1609,
      0.4707,
      0.2028,
      0.1582,
      0.3932,
      0.1591,
      0.3822,
      0.1125,
      0.2501,
      0.1857,
      0.0668,
      0.4235,
      0.3594,
      0.394,
      0.1891,
      0.4358,
      0.1366,
      0.1468,
      0.2903,
      0.1311,
      0.1258,
      0.1973,
      0.1169,
      0.1964,
      0.1287,
      0.3544,
      0.1821,
      0.3031,
      0.1332,
      0.2953,
      0.2542,
      0.4451,
      0.4152,
      0.2236,
      0.2016,
      0.3879,
      0.1359,
      0.2058,
      0.1728,
      0.238,
      0.273,
      0.2039,
      0.1214,
      0.3977,
      0.451,
      0,
      0.4756,
      0.1149,
      0.0303,
      0.2821,
      0.2286,
      0.4145,
      0.3021,
      0.3545,
      0,
      0.2063,
      0.3811,
      0.2602,
      0.4676,
      0,
      0.4306,
      0.3218,
      0.1776,
      0.3213,
      0.1447,
      0.4071,
      0.2943,
      0.2516,
      0.2203,
      0.0249,
      0.3261,
      0.3284,
      0.4292,
      0.2231,
      0.4842,
      0.1467,
      0.2443,
      0.3934,
      0.2479,
      0.3935,
      0.1492,
      0.2228,
      0.1237,
      0.1726,
      0.3939,
      0.1418,
      0.3388,
      0.1844,
      0.3629,
      0.0128,
      0.3243,
      0.4177,
      0.1793,
      0.3176,
      0,
      0.2534,
      0.333,
      0.0433,
      0.3986,
      0.3927,
      0.3382,
      0.2114,
      0.3057,
      0.2803,
      0.2219,
      0.4448,
      0.1552,
      0.2314,
      0.3225,
      0.1687,
      0.3718,
      0,
      0.3777,
      0.2512,
      0.3073,
      0.3347,
      0.3058,
      0.1893,
      0.4044,
      0.4465,
      0.2194,
      0.1481,
      0.3961,
      0.1904,
      0.2216,
      0.133,
      0.2781,
      0.1905,
      0.1487,
      0.2265,
      0.3382,
      0.3129,
      0.171,
      0.4444,
      0.3213,
      0.2713,
      0.2569,
      0.2101,
      0.1389,
      0.0915,
      0,
      0.3522,
      0.1533,
      0.3492,
      0.1351,
      0.3717,
      0.2592,
      0.4679,
      0.1551,
      0.0491,
      0.3946,
      0.1415,
      0.2587,
      0.2264,
      0.1904,
      0.2738,
      0.199,
      0.4221,
      0.389,
      0.3096,
      0.1607,
      0.3695,
      0.2295,
      0.1268,
      0.4388,
      0.1796,
      0.2638,
      0.2206,
      0.1234,
      0.1941,
      0.1236,
      0.1438,
      0.1377,
      0.1065,
      0.0767,
      0.3106,
      0,
      0.022,
      0.396,
      0.1778,
      0.1472,
      0.1557,
      0.1971,
      0.1193,
      0.0764,
      0.043,
      0.1388,
      0.0373,
      0,
      0,
      0,
      0,
      0,
      0.3718,
      0.165,
      0.1557,
      0.2053,
      0.2926,
      0.1356,
      0.0797,
      0.1779,
      0.1856,
      0.126,
      0.1948,
      0.1866,
      0.1426,
      0.0884,
      0.1551,
      0.1778,
      0.1774,
      0.133,
      0.0691,
      0.1757,
      0.1464,
      0.1451,
      0.1426,
      0.0601,
      0.1126,
      0.1101,
      0.1015,
      0.108,
      0.1328,
      0.0804,
      0.1279,
      0.0436,
      0.1859,
      0.0922,
      0.0343,
      0.4821,
      0,
      0.1733,
      0.2512,
      0.3477,
      0.1224,
      0.2823,
      0.1312,
      0.1986,
      0.1633,
      0.3085,
      0.1249,
      0.2304,
      0,
      0.5216,
      0.4502,
      0.1176,
      0.3956,
      0.194,
      0.2606,
      0.4381,
      0.3241,
      0.3307,
      0.2518,
      0.3527,
      0.4247,
      0.3207,
      0,
      0.4669,
      0.2847,
      0,
      0.4369,
      0,
      0.2674,
      0.1416,
      0.2292,
      0,
      0.3016,
      0.3984,
      0.2677,
      0.2811,
      0.2934,
      0.1989,
      0.2376,
      0.1416,
      0.5022,
      0.1608,
      0.1426,
      0.1087,
      0.1526,
      0.3217,
      0,
      0.1561,
      0.1446,
      0.2329,
      0.2229,
      0.219,
      0.1576,
      0.0765,
      0.4876,
      0.1159,
      0.2105,
      0.3308,
      0.3784,
      0.3066,
      0.1457,
      0.2589,
      0.1581,
      0.2247,
      0.3309,
      0.1394,
      0.4484,
      0.2146,
      0.5042,
      0.1579,
      0.2014,
      0.4465,
      0.1735,
      0.3668,
      0.0893,
      0.29,
      0.2958,
      0.1074,
      0.3838,
      0.4167,
      0.4075,
      0.2026,
      0.456,
      0.1183,
      0.1779,
      0.3881,
      0.1111,
      0.1122,
      0.1542,
      0.1729,
      0.2176,
      0.1367,
      0.3846,
      0.1235,
      0.3006,
      0.1161,
      0.318,
      0.2348,
      0.2489,
      0.465,
      0.3037,
      0.2169,
      0.2213,
      0.1566,
      0.1381,
      0.1602,
      0.2532,
      0.3136,
      0.2659,
      0.1737,
      0.3762,
      0.3446,
      0.0549,
      0.4618,
      0.0628,
      0,
      0.226,
      0.2721,
      0.3821,
      0.2955,
      0.3577,
      0,
      0.1956,
      0.3575,
      0.2063,
      0.376,
      0,
      0.5308,
      0.3276,
      0.1423,
      0.3485,
      0.1164,
      0.326,
      0.2689,
      0.217,
      0.2847,
      0.0389,
      0.3056,
      0.3806,
      0.4013,
      0.256,
      0.5108,
      0.2695,
      0.3217,
      0.4138,
      0.2129,
      0.3338,
      0.1221,
      0.2163,
      0.1625,
      0.1463,
      0.3961,
      0.1088,
      0.3785,
      0.0638,
      0.4177,
      0.1669,
      0.3036,
      0.454,
      0.1494,
      0.285,
      0,
      0.2788,
      0.3225,
      0.0125,
      0.3386,
      0.3762,
      0.2977,
      0.1532,
      0.3017,
      0.2388,
      0.2312,
      0.4916,
      0.1173,
      0.2673,
      0.3154,
      0.0621,
      0.3622,
      0,
      0.4191,
      0.2363,
      0.3062,
      0.2286,
      0.3141,
      0.1377,
      0.2183,
      0.5154,
      0.3101,
      0.1564,
      0.191,
      0.184,
      0.2009,
      0.1466,
      0.2795,
      0.1439,
      0.2055,
      0.1762,
      0.2067,
      0.2347,
      0.1598,
      0.5418,
      0.2749,
      0.3257,
      0.2922,
      0.2936,
      0.1247,
      0.1725,
      0,
      0.3243,
      0.2817,
      0.3214,
      0.1331,
      0.3206,
      0.2054,
      0.4972,
      0.1615,
      0.129,
      0.403,
      0.0919,
      0.1634,
      0.1919,
      0.1986,
      0.277,
      0.2349,
      0.3774,
      0.4128,
      0.3092,
      0.265,
      0.3707,
      0.1423,
      0.1256,
      0.4765,
      0.2533,
      0.2998,
      0.1875,
      0.1287,
      0.173,
      0.0982,
      0.1251,
      0.1475,
      0.188,
      0.1057,
      0.2697,
      0.0099,
      0.0879,
      0.5059,
      0.176,
      0.1137,
      0.1789,
      0.2417,
      0.1406,
      0.032,
      0.0951,
      0.1707,
      0.0573,
      0,
      0,
      0,
      0,
      0,
      0.3053,
      0.0557,
      0.2151,
      0.2169,
      0.3208,
      0.0902,
      0.0007,
      0.22,
      0.2172,
      0.0543,
      0.15,
      0.1921,
      0.1967,
      0.2193,
      0.191,
      0.2021,
      0.172,
      0.18,
      0.0847,
      0.2061,
      0.0666,
      0.1851,
      0.1375,
      0.0766,
      0.2037,
      0.182,
      0.1375,
      0.1039,
      0.1096,
      0.1009,
      0.215,
      0.1732,
      0.1403,
      0.1211,
      0.0965,
      0.4949,
      0,
      0.0972,
      0.3189,
      0.1873,
      0.2372,
      0.2319,
      0.1548,
      0.3789,
      0.2521,
      0.2485,
      0.114,
      0.1328,
      0.088,
      0.4556,
      0.4459,
      0.1325,
      0.4217,
      0.0899,
      0.3089,
      0.42,
      0.313,
      0.2966,
      0.2787,
      0.4004,
      0.4229,
      0.3494,
      0,
      0.3738,
      0.2494,
      0,
      0.428,
      0,
      0.228,
      0.2039,
      0.2638,
      0,
      0.1712,
      0.4478,
      0.2456,
      0.263,
      0.2212,
      0.2392,
      0.2475,
      0.2147,
      0.5757,
      0.1614,
      0.1064,
      0.0159,
      0.1615,
      0.3132,
      0,
      0.1429,
      0.1027,
      0.2987,
      0.1861,
      0.2513,
      0.2598,
      0.0868,
      0.4546,
      0.2246,
      0.1626,
      0.3505,
      0.3007,
      0.3138,
      0.2356,
      0.3792,
      0.1191,
      0.2478,
      0.3361,
      0.1306,
      0.4399,
      0.239,
      0.4413,
      0.1763,
      0.2461,
      0.4764,
      0.1117,
      0.3542,
      0.0947,
      0.2655,
      0.2224,
      0,
      0.3924,
      0.4129,
      0.3931,
      0.2029,
      0.3346,
      0.101,
      0.1778,
      0.3712,
      0.1176,
      0.1758,
      0.2548,
      0.1703,
      0.2042,
      0.1196,
      0.3442,
      0.1652,
      0.3607,
      0.1609,
      0.3129,
      0.3419,
      0.2361,
      0.4679,
      0.207,
      0.2695,
      0.1539,
      0.1733,
      0.1747,
      0.32,
      0.212,
      0.3359,
      0.2734,
      0.1347,
      0.2712,
      0.4113,
      0.02,
      0.5016,
      0.0341,
      0.0231,
      0.293,
      0.2513,
      0.4166,
      0.2107,
      0.4231,
      0,
      0.306,
      0.3384,
      0.2112,
      0.4604,
      0,
      0.5015,
      0.1816,
      0.29,
      0.2395,
      0.142,
      0.3367,
      0.2367,
      0.2264,
      0.2506,
      0.0163,
      0.2971,
      0.339,
      0.4703,
      0.2987,
      0.4339,
      0.2887,
      0.207,
      0.4569,
      0.2375,
      0.3632,
      0.1644,
      0.2374,
      0.1608,
      0.2174,
      0.3727,
      0.0657,
      0.4277,
      0.1584,
      0.3572,
      0.0739,
      0.2795,
      0.4856,
      0.1208,
      0.3131,
      0.0044,
      0.2073,
      0.2934,
      0.0463,
      0.4047,
      0.4404,
      0.3505,
      0.1627,
      0.3413,
      0.274,
      0.1076,
      0.5113,
      0.1381,
      0.2547,
      0.2899,
      0.1099,
      0.3492,
      0,
      0.3863,
      0.1213,
      0.2356,
      0.305,
      0.3119,
      0.3515,
      0.2094,
      0.4801,
      0.2586,
      0.2355,
      0.2021,
      0.2117,
      0.2418,
      0.3214,
      0.2477,
      0.1083,
      0.1702,
      0.2166,
      0.2037,
      0.2428,
      0.3145,
      0.5059,
      0.2941,
      0.3096,
      0.3135,
      0.2361,
      0.1254,
      0.2238,
      0,
      0.2726,
      0.2314,
      0.3419,
      0.1506,
      0.4191,
      0.2836,
      0.461,
      0.1816,
      0.0786,
      0.468,
      0.1609,
      0.2337,
      0.2043,
      0.2225,
      0.226,
      0.231,
      0.41,
      0.4321,
      0.3279,
      0.3326,
      0.3781,
      0.1662,
      0.0497,
      0.4669,
      0.2523,
      0.1716,
      0.1597,
      0.1032,
      0.109,
      0.0846,
      0.1503,
      0.1654,
      0.2107,
      0.1907,
      0.2757,
      0.1024,
      0.1413,
      0.5288,
      0.1524,
      0.1321,
      0.1833,
      0.1915,
      0.1274,
      0.0842,
      0.0896,
      0.1132,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3028,
      0.1183,
      0.2286,
      0.2512,
      0.2759,
      0.0821,
      0.0416,
      0.1539,
      0.2362,
      0.1369,
      0.0717,
      0.2106,
      0.2057,
      0.1012,
      0.1897,
      0.2988,
      0.1433,
      0.2287,
      0.0682,
      0.0818,
      0.1321,
      0.0436,
      0.0847,
      0.0947,
      0.1498,
      0.1118,
      0.1607,
      0.0775,
      0.1394,
      0.1707,
      0.1105,
      0.1654,
      0.152,
      0.0738,
      0.0847,
      0.4669,
      0.0388,
      0.1434,
      0.1852,
      0.2054,
      0.2199,
      0.2026,
      0.0841,
      0.2085,
      0.2865,
      0.1732,
      0.0997,
      0.1119,
      0.1369,
      0.4626,
      0.3548,
      0.0901,
      0.3873,
      0.0633,
      0.3027,
      0.5034,
      0.3073,
      0.2887,
      0.2947,
      0.3758,
      0.3875,
      0.3477,
      0,
      0.376,
      0.1876,
      0,
      0.3645,
      0,
      0.2,
      0.2976,
      0.1877,
      0,
      0.2218,
      0.4603,
      0.2785,
      0.2525,
      0.2612,
      0.2826,
      0.3064,
      0.2226,
      0.4754,
      0.222,
      0.1047,
      0.0645,
      0.074,
      0.304,
      0,
      0.205,
      0.115,
      0.2616,
      0.2779,
      0.2388,
      0.3014,
      0.1533,
      0.4805,
      0.136,
      0.0568,
      0.2756,
      0.2112,
      0.2782,
      0.103,
      0.3427,
      0.16,
      0.2871,
      0.3421,
      0.134,
      0.4536,
      0.265,
      0.3931,
      0.1641,
      0.2123,
      0.4088,
      0.1065,
      0.3257,
      0.0829,
      0.199,
      0.2746,
      0.0145,
      0.3895,
      0.4218,
      0.4298,
      0.0943,
      0.3449,
      0.1181,
      0.128,
      0.2941,
      0.051,
      0.1968,
      0.2848,
      0.0867,
      0.1398,
      0.1438,
      0.3531,
      0.1316,
      0.3142,
      0.1571,
      0.2595,
      0.242,
      0.2808,
      0.4248,
      0.2054,
      0.2548,
      0.1999,
      0.1712,
      0.3102,
      0.2642,
      0.1795,
      0.2933,
      0.2007,
      0.2025,
      0.2612,
      0.3663,
      0,
      0.457,
      0.0402,
      0,
      0.3979,
      0.2943,
      0.4091,
      0.2373,
      0.4357,
      0,
      0.2363,
      0.3092,
      0.2322,
      0.4397,
      0.0017,
      0.4879,
      0.2724,
      0.3287,
      0.2506,
      0.1925,
      0.3155,
      0.1891,
      0.2425,
      0.2521,
      0,
      0.2899,
      0.3394,
      0.4711,
      0.3191,
      0.4312,
      0.2756,
      0.2648,
      0.3941,
      0.2093,
      0.3766,
      0.1923,
      0.1813,
      0.0846,
      0.1996,
      0.4013,
      0.117,
      0.3906,
      0.1306,
      0.2981,
      0.0941,
      0.2743,
      0.4393,
      0.1664,
      0.2615,
      0.0003,
      0.3018,
      0.2398,
      0,
      0.3777,
      0.4107,
      0.2799,
      0.1195,
      0.3214,
      0.2657,
      0.1176,
      0.4276,
      0.1789,
      0.2243,
      0.2307,
      0.1665,
      0.3319,
      0,
      0.3672,
      0.1596,
      0.2334,
      0.3437,
      0.3048,
      0.0889,
      0.2082,
      0.4604,
      0.1808,
      0.2268,
      0.2321,
      0.2173,
      0.3423,
      0.2011,
      0.1111,
      0.1637,
      0.1969,
      0.2099,
      0.1415,
      0.2651,
      0.2145,
      0.5075,
      0.3011,
      0.2337,
      0.2457,
      0.161,
      0.1276,
      0.1188,
      0,
      0.2932,
      0.2752,
      0.3138,
      0.0858,
      0.328,
      0.2926,
      0.4708,
      0.2948,
      0.0691,
      0.4078,
      0.1685,
      0.2516,
      0.1594,
      0.099,
      0.1717,
      0.2141,
      0.3815,
      0.4084,
      0.3282,
      0.2969,
      0.3466,
      0.2176,
      0.0181,
      0.4512,
      0.1457,
      0.2308,
      0.146,
      0.1387,
      0.179,
      0.0651,
      0.117,
      0.1828,
      0.1097,
      0.1989,
      0.2887,
      0.18,
      0.0491,
      0.4069,
      0.1191,
      0.1416,
      0.1581,
      0.1263,
      0.1446,
      0.0661,
      0.0578,
      0.138,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3792,
      0.0464,
      0.2681,
      0.1777,
      0.2433,
      0.1034,
      0.0204,
      0.2247,
      0.1671,
      0.0882,
      0.0938,
      0.2635,
      0.1087,
      0.1891,
      0.2057,
      0.1809,
      0.0497,
      0.2285,
      0.0727,
      0.0616,
      0.1783,
      0.1616,
      0.0645,
      0.0873,
      0.1738,
      0.2084,
      0.1164,
      0.0449,
      0.1339,
      0.1784,
      0.179,
      0.1416,
      0.1189,
      0.0623,
      0.1259,
      0.5145,
      0,
      0.1917,
      0.2333,
      0.2362,
      0.2012,
      0.2536,
      0.1861,
      0.2246,
      0.0795,
      0.1445,
      0.0698,
      0.198,
      0.1169,
      0.4713,
      0.359,
      0.0708,
      0.397,
      0.094,
      0.3282,
      0.4404,
      0.2727,
      0.2987,
      0.3088,
      0.3973,
      0.388,
      0.2777,
      0,
      0.4564,
      0.2709,
      0.0239,
      0.4911,
      0,
      0.219,
      0.3843,
      0.2966,
      0,
      0.1883,
      0.3694,
      0.2665,
      0.2143,
      0.3038,
      0.2314,
      0.337,
      0.2922,
      0.408,
      0.2885,
      0.1838,
      0.1187,
      0.1749,
      0.2974,
      0,
      0.0481,
      0.0674,
      0.1989,
      0.2566,
      0.2797,
      0.2551,
      0.157,
      0.4544,
      0.0866,
      0.1125,
      0.343,
      0.3031,
      0.2829,
      0.1626,
      0.3207,
      0.2346,
      0.2376,
      0.3545,
      0.1418,
      0.3625,
      0.1802,
      0.4397,
      0.1948,
      0.1764,
      0.4313,
      0.0844,
      0.3485,
      0.1706,
      0.2052,
      0.2123,
      0.1088,
      0.3867,
      0.3643,
      0.3235,
      0.2755,
      0.3694,
      0.2264,
      0.1186,
      0.366,
      0.138,
      0.1515,
      0.1934,
      0.0961,
      0.1346,
      0.1646,
      0.2837,
      0.0889,
      0.2056,
      0.1113,
      0.3703,
      0.1931,
      0.245,
      0.4845,
      0.1349,
      0.1753,
      0.1981,
      0.1822,
      0.1875,
      0.2127,
      0.0789,
      0.2125,
      0.1479,
      0.1657,
      0.2571,
      0.409,
      0,
      0.4649,
      0,
      0.0046,
      0.4777,
      0.3105,
      0.396,
      0.3418,
      0.3603,
      0,
      0.2592,
      0.3323,
      0.202,
      0.4382,
      0,
      0.442,
      0.2315,
      0.1932,
      0.3042,
      0.1783,
      0.3781,
      0.1383,
      0.239,
      0.2931,
      0.0842,
      0.2996,
      0.3658,
      0.4154,
      0.3133,
      0.4711,
      0.2563,
      0.2196,
      0.4567,
      0.2347,
      0.3631,
      0.1507,
      0.1752,
      0.0831,
      0.1663,
      0.3175,
      0.1381,
      0.2508,
      0.1761,
      0.3497,
      0.0581,
      0.2415,
      0.4934,
      0.1227,
      0.3064,
      0.0257,
      0.3428,
      0.2929,
      0.0769,
      0.3534,
      0.3345,
      0.2398,
      0.0889,
      0.3571,
      0.2865,
      0.1466,
      0.5031,
      0.1106,
      0.2137,
      0.2404,
      0.1546,
      0.3674,
      0,
      0.229,
      0.2092,
      0.2208,
      0.4017,
      0.2979,
      0.2116,
      0.1393,
      0.4132,
      0.1577,
      0.2088,
      0.233,
      0.117,
      0.2582,
      0.2461,
      0.1752,
      0.1058,
      0.1983,
      0.1693,
      0.1946,
      0.251,
      0.2975,
      0.5002,
      0.1688,
      0.2327,
      0.2842,
      0.2101,
      0.1737,
      0,
      0,
      0.2874,
      0.2559,
      0.3315,
      0.1235,
      0.3834,
      0.264,
      0.4593,
      0.2866,
      0.1186,
      0.4598,
      0.151,
      0.2712,
      0.2354,
      0.1769,
      0.2314,
      0.1563,
      0.3741,
      0.2977,
      0.2808,
      0.2902,
      0.3716,
      0.1741,
      0.1084,
      0.5291,
      0.1743,
      0.1907,
      0.2111,
      0.1329,
      0.2093,
      0.1729,
      0.1812,
      0.1818,
      0.1715,
      0.1489,
      0.2875,
      0.1975,
      0.1522,
      0.5337,
      0.1551,
      0.1352,
      0.1718,
      0.0499,
      0.1716,
      0.0192,
      0.0744,
      0.2465,
      0.0677,
      0,
      0,
      0,
      0,
      0,
      0.2878,
      0.1234,
      0.1572,
      0.13,
      0.3257,
      0.2313,
      0.0458,
      0.2035,
      0.2552,
      0.0303,
      0.1221,
      0.1494,
      0.2158,
      0.2313,
      0.2586,
      0.2063,
      0.1558,
      0.2405,
      0.03,
      0.1046,
      0.1083,
      0.1536,
      0.1322,
      0.1064,
      0.1604,
      0.2062,
      0.106,
      0.17,
      0.1352,
      0.2389,
      0.1124,
      0.1465,
      0.2038,
      0.0039,
      0.0576,
      0.5527,
      0,
      0.0828,
      0.2974,
      0.188,
      0.2246,
      0.236,
      0.1968,
      0.2564,
      0.2387,
      0.1184,
      0.2866,
      0.2334,
      0.0912,
      0.5434,
      0.4658,
      0.2437,
      0.4207,
      0.094,
      0.338,
      0.4557,
      0.251,
      0.3089,
      0.3187,
      0.4086,
      0.4891,
      0.3107,
      0,
      0.5961,
      0.264,
      0,
      0.4897,
      0.2388,
      0.2058,
      0.4226,
      0.3674,
      0,
      0.3429,
      0.4142,
      0.3132,
      0.4197,
      0.3152,
      0.3286,
      0.2983,
      0.239,
      0.5839,
      0.3266,
      0.1742,
      0.1267,
      0.1924,
      0.3322,
      0,
      0.0363,
      0.153,
      0.2413,
      0.291,
      0.2901,
      0.1901,
      0.197,
      0.5392,
      0.1239,
      0.0845,
      0.3597,
      0.2277,
      0.2984,
      0.2311,
      0.3051,
      0.1558,
      0.2655,
      0.3785,
      0.2134,
      0.377,
      0.1331,
      0.5284,
      0.2011,
      0.2663,
      0.4673,
      0.1048,
      0.3521,
      0.0299,
      0.3177,
      0.1397,
      0.0038,
      0.3977,
      0.3191,
      0.396,
      0.1888,
      0.4082,
      0.1716,
      0.1809,
      0.4241,
      0.1843,
      0.1578,
      0.1403,
      0.1029,
      0.1578,
      0.1738,
      0.2933,
      0.1128,
      0.2792,
      0.1718,
      0.3319,
      0.1409,
      0.2467,
      0.5039,
      0.214,
      0.2278,
      0.0894,
      0.1408,
      0.1936,
      0.1711,
      0.1586,
      0.2732,
      0.1802,
      0.3234,
      0.2999,
      0.4235,
      0,
      0.5341,
      0.0684,
      0.0181,
      0.5192,
      0.2604,
      0.4127,
      0.3564,
      0.3956,
      0.0074,
      0.4624,
      0.2624,
      0.2211,
      0.4435,
      0.0106,
      0.5343,
      0.215,
      0.2099,
      0.399,
      0.363,
      0.3729,
      0.2904,
      0.2134,
      0.3011,
      0.2317,
      0.3183,
      0.4979,
      0.4369,
      0.3078,
      0.5089,
      0.2644,
      0.2517,
      0.4753,
      0.1979,
      0.3775,
      0.1733,
      0.1704,
      0.1969,
      0.2048,
      0.2687,
      0.1393,
      0.3352,
      0.1749,
      0.4152,
      0.0704,
      0.2753,
      0.4903,
      0.1776,
      0.2759,
      0.092,
      0.2753,
      0.2047,
      0.0689,
      0.3887,
      0.3797,
      0.2938,
      0.0615,
      0.2879,
      0.2869,
      0.2144,
      0.5665,
      0.1774,
      0.2126,
      0.2105,
      0.051,
      0.3624,
      0,
      0.333,
      0.2567,
      0.2638,
      0.4344,
      0.3757,
      0.1781,
      0.2017,
      0.5036,
      0.0511,
      0.2368,
      0.1633,
      0.2522,
      0.2647,
      0.208,
      0.1683,
      0.1355,
      0.1631,
      0.1852,
      0.1907,
      0.4229,
      0.2062,
      0.5911,
      0.2239,
      0.236,
      0.3634,
      0.2607,
      0.1826,
      0.1473,
      0,
      0.4135,
      0.3228,
      0.3488,
      0.0832,
      0.3611,
      0.3153,
      0.5059,
      0.2288,
      0.1012,
      0.4498,
      0.2448,
      0.2692,
      0.2654,
      0.2203,
      0.1312,
      0.1409,
      0.4094,
      0.3521,
      0.2677,
      0.2479,
      0.4023,
      0.2026,
      0.1462,
      0.5226,
      0.1992,
      0.259,
      0.2072,
      0.2051,
      0.1991,
      0.1926,
      0.2245,
      0.2007,
      0.2377,
      0.2071,
      0.2973,
      0.0777,
      0.1161,
      0.5604,
      0.2306,
      0.1097,
      0.1426,
      0.169,
      0.2215,
      0.0177,
      0.1076,
      0.2222,
      0.0438,
      0,
      0,
      0,
      0,
      0,
      0.3155,
      0.0614,
      0.2117,
      0.1967,
      0.2376,
      0.2119,
      0.072,
      0.2121,
      0.2323,
      0.1502,
      0.1171,
      0.2106,
      0.2829,
      0.3037,
      0.2239,
      0.1859,
      0.1423,
      0.23,
      0.1585,
      0.1482,
      0.095,
      0.1446,
      0.0917,
      0.1042,
      0.1569,
      0.1888,
      0.157,
      0.0769,
      0.113,
      0.2537,
      0.193,
      0.0945,
      0.2015,
      0.0607,
      0.2283,
      0.4919,
      0.023,
      0.0189,
      0.2769,
      0.2345,
      0.2071,
      0.2028,
      0.1841,
      0.2162,
      0.1866,
      0.2493,
      0.2025,
      0.2561,
      0,
      0.5015,
      0.477,
      0.1225,
      0.3471,
      0.1455,
      0.3036,
      0.4806,
      0.161,
      0.2762,
      0.2825,
      0.4074,
      0.419,
      0.3407,
      0,
      0.4466,
      0.2995,
      0,
      0.5098,
      0.0982,
      0.2285,
      0.3016,
      0.3227,
      0.0748,
      0.3111,
      0.4587,
      0.2767,
      0.4775,
      0.319,
      0.332,
      0.3876,
      0.2146,
      0.5545,
      0.4859,
      0.1473,
      0.1254,
      0.1531,
      0.3663,
      0,
      0.1421,
      0.1862,
      0.2807,
      0.2312,
      0.2989,
      0.2883,
      0.1896,
      0.5511,
      0.0415,
      0.1856,
      0.3023,
      0.2486,
      0.2666,
      0.1456,
      0.3113,
      0.1659,
      0.2633,
      0.3738,
      0.1721,
      0.4793,
      0.1537,
      0.5114,
      0.2016,
      0.2035,
      0.3946,
      0.1412,
      0.372,
      0.0677,
      0.2954,
      0.1532,
      0.0747,
      0.4118,
      0.3968,
      0.4162,
      0.2083,
      0.4065,
      0.1214,
      0.1553,
      0.414,
      0.1674,
      0.1616,
      0.1238,
      0.1429,
      0.2059,
      0.1857,
      0.3741,
      0.1003,
      0.3454,
      0.1573,
      0.3547,
      0.1842,
      0.2292,
      0.5208,
      0.1886,
      0.2189,
      0.184,
      0.2299,
      0.2024,
      0.1638,
      0.2382,
      0.3343,
      0.1916,
      0.2317,
      0.2846,
      0.3841,
      0,
      0.5466,
      0.0753,
      0,
      0.2951,
      0.3446,
      0.4248,
      0.294,
      0.419,
      0.0016,
      0.3469,
      0.3417,
      0.2449,
      0.3752,
      0,
      0.5395,
      0.1518,
      0.3042,
      0.3535,
      0.2124,
      0.3948,
      0.1868,
      0.1501,
      0.2378,
      0.3367,
      0.3158,
      0.4035,
      0.3843,
      0.473,
      0.5062,
      0.3797,
      0.327,
      0.5039,
      0.1427,
      0.3851,
      0.1453,
      0.1619,
      0.2734,
      0.1752,
      0.3867,
      0.0476,
      0.4081,
      0.1055,
      0.431,
      0.2135,
      0.2481,
      0.5083,
      0.2249,
      0.1547,
      0.0133,
      0.2951,
      0.2115,
      0.0779,
      0.3842,
      0.4338,
      0.3115,
      0.1284,
      0.3477,
      0.2508,
      0.2458,
      0.5393,
      0.0779,
      0.2302,
      0.3014,
      0.159,
      0.3829,
      0.0075,
      0.3867,
      0.2676,
      0.259,
      0.3629,
      0.3905,
      0.1572,
      0.2585,
      0.4795,
      0.254,
      0.1861,
      0.1676,
      0.2208,
      0.2105,
      0.2117,
      0.2478,
      0.1808,
      0.143,
      0.2127,
      0.2059,
      0.2687,
      0.2027,
      0.5449,
      0.2211,
      0.3095,
      0.3203,
      0.1264,
      0.1212,
      0.1539,
      0,
      0.2766,
      0.3284,
      0.3196,
      0.1459,
      0.3556,
      0.2942,
      0.5289,
      0.1924,
      0.1153,
      0.4489,
      0.1383,
      0.2296,
      0.2474,
      0.2042,
      0.194,
      0.1525,
      0.4129,
      0.4283,
      0.3071,
      0.266,
      0.4465,
      0.1981,
      0.1572,
      0.5635,
      0.182,
      0.2705,
      0.2305,
      0.2058,
      0.2146,
      0.1741,
      0.2196,
      0.1821,
      0.2481,
      0.1483,
      0.2129,
      0.0571,
      0.1334,
      0.4599,
      0.1976,
      0.2129,
      0.1518,
      0.2186,
      0.1983,
      0.0543,
      0.093,
      0.245,
      0.0987,
      0,
      0,
      0,
      0,
      0,
      0.2089,
      0.1402,
      0.1721,
      0.1656,
      0.2595,
      0.1216,
      0.0828,
      0.2165,
      0.216,
      0.1691,
      0.096,
      0.2435,
      0.2918,
      0.1539,
      0.1717,
      0.2034,
      0.1678,
      0.2151,
      0.1801,
      0.213,
      0.1437,
      0.1382,
      0.1496,
      0.1411,
      0.2168,
      0.1405,
      0.1303,
      0.0767,
      0.2169,
      0.1875,
      0.1433,
      0.2384,
      0.1798,
      0.062,
      0.1736,
      0.4995,
      0.045,
      0.0604,
      0.2719,
      0.3792,
      0.2489,
      0.3088,
      0.2568,
      0.2268,
      0.2379,
      0.3123,
      0.1435,
      0.2411,
      0.0826,
      0.4673,
      0.4729,
      0.0969,
      0.3798,
      0.3209,
      0.3136,
      0.5307,
      0.2743,
      0.324,
      0.262,
      0.3306,
      0.3588,
      0.3862,
      0,
      0.4323,
      0.2723,
      0,
      0.5073,
      0,
      0.2532,
      0.3045,
      0.2968,
      0.035,
      0.2622,
      0.4322,
      0.2942,
      0.2896,
      0.2735,
      0.3566,
      0.348,
      0.2226,
      0.5065,
      0.3525,
      0.2163,
      0.0432,
      0.1396,
      0.2841,
      0,
      0.1049,
      0.1459,
      0.2179,
      0.2422,
      0.2968,
      0.226,
      0.1148,
      0.5296,
      0.1517,
      0.2694,
      0.2864,
      0.3248,
      0.3656,
      0.1337,
      0.3443,
      0.0764,
      0.2397,
      0.3003,
      0.0528,
      0.4454,
      0.2253,
      0.4137,
      0.2001,
      0.2232,
      0.4514,
      0.1348,
      0.2799,
      0.0424,
      0.277,
      0.271,
      0.0958,
      0.3846,
      0.3958,
      0.3724,
      0.2264,
      0.4031,
      0.1492,
      0.1786,
      0.3763,
      0.0763,
      0.1434,
      0.2336,
      0.1379,
      0.2659,
      0.1327,
      0.3334,
      0.1452,
      0.3433,
      0.107,
      0.3166,
      0.2555,
      0.4112,
      0.4871,
      0.3515,
      0.2129,
      0.3311,
      0.2611,
      0.2112,
      0.165,
      0.2288,
      0.3572,
      0.2078,
      0.1624,
      0.3432,
      0.3897,
      0,
      0.5288,
      0.1668,
      0.0414,
      0.2718,
      0.3807,
      0.3857,
      0.3446,
      0.3677,
      0,
      0.2591,
      0.3809,
      0.2476,
      0.3664,
      0,
      0.5071,
      0.156,
      0.4089,
      0.3278,
      0.2449,
      0.3646,
      0.0746,
      0.201,
      0.1852,
      0.1235,
      0.2484,
      0.3187,
      0.3787,
      0.4553,
      0.4925,
      0.3372,
      0.1789,
      0.4232,
      0.2195,
      0.3651,
      0.1772,
      0.1935,
      0.166,
      0.1173,
      0.3441,
      0.0829,
      0.3882,
      0.1598,
      0.3691,
      0.1911,
      0.3132,
      0.5006,
      0.252,
      0.2588,
      0,
      0.2744,
      0.2757,
      0.0932,
      0.3781,
      0.4028,
      0.3713,
      0.1578,
      0.3462,
      0.2515,
      0.2558,
      0.5332,
      0.0994,
      0.237,
      0.3549,
      0.1512,
      0.3182,
      0.0447,
      0.3901,
      0.2536,
      0.1974,
      0.3855,
      0.35,
      0.142,
      0.4122,
      0.4147,
      0.3023,
      0.1506,
      0.3479,
      0.1911,
      0.2742,
      0.2197,
      0.2822,
      0.1467,
      0.1924,
      0.2709,
      0.3061,
      0.2177,
      0.1564,
      0.5256,
      0.2971,
      0.4024,
      0.2935,
      0.3173,
      0.2054,
      0.0701,
      0,
      0.3392,
      0.2623,
      0.2349,
      0.2012,
      0.3914,
      0.2941,
      0.493,
      0.2584,
      0.0928,
      0.4349,
      0.0985,
      0.1913,
      0.1342,
      0.1815,
      0.1917,
      0.2018,
      0.3755,
      0.3907,
      0.3055,
      0.2685,
      0.4215,
      0.1935,
      0.1382,
      0.5412,
      0.0935,
      0.2919,
      0.2084,
      0.1178,
      0.191,
      0.206,
      0.2306,
      0.2129,
      0.2188,
      0.1645,
      0.3029,
      0.0287,
      0.2371,
      0.5164,
      0.1831,
      0.1799,
      0.1442,
      0.268,
      0.2473,
      0.0569,
      0.094,
      0.1896,
      0.1346,
      0,
      0,
      0,
      0,
      0,
      0.2666,
      0.1499,
      0.2342,
      0.2046,
      0.2239,
      0.2086,
      0.0553,
      0.2728,
      0.1896,
      0.0365,
      0.0624,
      0.253,
      0.3372,
      0.1601,
      0.1874,
      0.2157,
      0.1351,
      0.2148,
      0.16,
      0.1997,
      0.1221,
      0.2282,
      0.1718,
      0.0618,
      0.2483,
      0.0106,
      0.0959,
      0.0466,
      0.1943,
      0.2061,
      0.1315,
      0.2488,
      0.1282,
      0.1635,
      0.1749,
      0.5217,
      0.0659,
      0.2042,
      0.3289,
      0.3482,
      0.2263,
      0.2123,
      0.2439,
      0.3654,
      0.3588,
      0.2014,
      0.0872,
      0.1454,
      0.1538,
      0.4182,
      0.4479,
      0.1536,
      0.4525,
      0.1319,
      0.3067,
      0.4587,
      0.3852,
      0.2572,
      0.313,
      0.4179,
      0.3608,
      0.2942,
      0,
      0.3942,
      0.2836,
      0,
      0.5084,
      0,
      0.2484,
      0.2776,
      0.2488,
      0,
      0.2516,
      0.4134,
      0.2006,
      0.2565,
      0.2308,
      0.2316,
      0.2792,
      0.2015,
      0.5053,
      0.3468,
      0.3124,
      0.1239,
      0.266,
      0.3442,
      0,
      0.1433,
      0.1535,
      0.1767,
      0.2653,
      0.2844,
      0.2247,
      0.0973,
      0.497,
      0.2436,
      0.0208,
      0.3714,
      0.2859,
      0.3669,
      0.2461,
      0.3432,
      0.191,
      0.142,
      0.2982,
      0.1171,
      0.4664,
      0.1834,
      0.4445,
      0.1661,
      0.1892,
      0.4894,
      0.1157,
      0.342,
      0.0427,
      0.2991,
      0.212,
      0.0717,
      0.4428,
      0.3741,
      0.3836,
      0.1608,
      0.338,
      0.2289,
      0.1181,
      0.4471,
      0.1369,
      0.151,
      0.1749,
      0.1542,
      0.1588,
      0.1998,
      0.292,
      0.095,
      0.3292,
      0.1622,
      0.3211,
      0.3293,
      0.2945,
      0.5248,
      0.2558,
      0.2938,
      0.181,
      0.1994,
      0.3328,
      0.3481,
      0.2313,
      0.3124,
      0.2087,
      0.202,
      0.3263,
      0.4341,
      0.0166,
      0.514,
      0.0745,
      0,
      0.307,
      0.3753,
      0.4244,
      0.2276,
      0.3873,
      0.0081,
      0.253,
      0.2876,
      0.2956,
      0.3799,
      0,
      0.4878,
      0.114,
      0.1991,
      0.3906,
      0.1669,
      0.3847,
      0.1649,
      0.2002,
      0.0497,
      0.0586,
      0.3307,
      0.3418,
      0.4064,
      0.2602,
      0.4077,
      0.2533,
      0.2384,
      0.4705,
      0.1218,
      0.3972,
      0.1595,
      0.1741,
      0.1615,
      0.1546,
      0.3039,
      0.0983,
      0.3723,
      0.1154,
      0.361,
      0.1607,
      0.3761,
      0.5322,
      0.2227,
      0.2963,
      0.0786,
      0.2206,
      0.3077,
      0.1031,
      0.3988,
      0.4129,
      0.3188,
      0.1302,
      0.344,
      0.3159,
      0.2636,
      0.5183,
      0.1129,
      0.258,
      0.336,
      0.1814,
      0.3896,
      0,
      0.3178,
      0.1666,
      0.165,
      0.4241,
      0.2662,
      0.3358,
      0.2524,
      0.4434,
      0.2926,
      0.3483,
      0.2026,
      0.2457,
      0.2756,
      0.3412,
      0.1982,
      0.1919,
      0.1785,
      0.2408,
      0.2437,
      0.276,
      0.2016,
      0.5336,
      0.3431,
      0.2218,
      0.3646,
      0.146,
      0.1283,
      0.1647,
      0,
      0.2828,
      0.2693,
      0.3148,
      0.192,
      0.3551,
      0.2794,
      0.4166,
      0.1876,
      0.1142,
      0.4911,
      0.1193,
      0.2144,
      0.1572,
      0.1482,
      0.2221,
      0.218,
      0.4372,
      0.3705,
      0.3144,
      0.265,
      0.3028,
      0.2437,
      0.1241,
      0.5519,
      0.2256,
      0.2907,
      0.1689,
      0.191,
      0.1784,
      0.2454,
      0.1146,
      0.2235,
      0.2237,
      0.1827,
      0.2984,
      0.1215,
      0.1505,
      0.5236,
      0.2167,
      0.1714,
      0.131,
      0.1957,
      0.2542,
      0.0423,
      0.1546,
      0.1641,
      0.0504,
      0,
      0,
      0,
      0,
      0,
      0.3398,
      0.1896,
      0.2185,
      0.1972,
      0.2157,
      0.2405,
      0.1122,
      0.1959,
      0.2133,
      0.0638,
      0.1462,
      0.163,
      0.3428,
      0.1177,
      0.2036,
      0.2549,
      0.1691,
      0.2502,
      0.1013,
      0.1613,
      0.1441,
      0.1912,
      0.1162,
      0.1182,
      0.1936,
      0.1506,
      0.1037,
      0.0806,
      0.0894,
      0.128,
      0.1143,
      0.1681,
      0.0657,
      0.0965,
      0.1725,
      0.4718,
      0.0161,
      0.206,
      0.2608,
      0.1493,
      0.227,
      0.252,
      0.1118,
      0.2318,
      0.2103,
      0.1781,
      0.1067,
      0.0953,
      0.1446,
      0.4198,
      0.4073,
      0.132,
      0.3836,
      0.0766,
      0.2755,
      0.4658,
      0.3451,
      0.2409,
      0.2821,
      0.4174,
      0.3528,
      0.34,
      0,
      0.4411,
      0.2683,
      0.0565,
      0.439,
      0,
      0.1543,
      0.2252,
      0.2824,
      0.0005,
      0.1595,
      0.3708,
      0.2177,
      0.2616,
      0.2504,
      0.2352,
      0.2642,
      0.2033,
      0.5041,
      0.2671,
      0.1254,
      0.1392,
      0.1648,
      0.3258,
      0,
      0.2351,
      0.1924,
      0.1584,
      0.2326,
      0.2369,
      0.2135,
      0.089,
      0.4555,
      0.1133,
      0.1946,
      0.3263,
      0.2996,
      0.3489,
      0.0372,
      0.343,
      0.2198,
      0.154,
      0.3684,
      0.0894,
      0.359,
      0.2236,
      0.381,
      0.1721,
      0.2018,
      0.3681,
      0.1688,
      0.361,
      0.142,
      0.3074,
      0.3547,
      0.0638,
      0.3807,
      0.3752,
      0.3564,
      0.1512,
      0.2929,
      0.2113,
      0.1864,
      0.3476,
      0.0559,
      0.1728,
      0.1964,
      0.0904,
      0.1852,
      0.1466,
      0.2677,
      0.1326,
      0.3309,
      0.1396,
      0.3038,
      0.1776,
      0.2104,
      0.4129,
      0.2407,
      0.2847,
      0.1096,
      0.16,
      0.3156,
      0.2771,
      0.2225,
      0.3205,
      0.2563,
      0.2267,
      0.3114,
      0.3382,
      0.0278,
      0.4398,
      0.03,
      0.0095,
      0.2059,
      0.2604,
      0.3767,
      0.2194,
      0.3746,
      0,
      0.2773,
      0.3364,
      0.2724,
      0.3759,
      0,
      0.4216,
      0.1154,
      0.1597,
      0.3344,
      0.1654,
      0.2879,
      0.1335,
      0.186,
      0.2096,
      0.071,
      0.3055,
      0.2986,
      0.3808,
      0.2986,
      0.3295,
      0.3223,
      0.2906,
      0.3758,
      0.229,
      0.2846,
      0.1578,
      0.1707,
      0.2015,
      0.073,
      0.3071,
      0.0655,
      0.3482,
      0.1387,
      0.3719,
      0.0795,
      0.2515,
      0.4663,
      0.1851,
      0.2094,
      0,
      0.2017,
      0.3236,
      0.1027,
      0.2866,
      0.3624,
      0.3294,
      0.03,
      0.3512,
      0.2725,
      0.2916,
      0.4481,
      0.1175,
      0.239,
      0.3471,
      0.216,
      0.3516,
      0,
      0.3535,
      0.1828,
      0.2262,
      0.3903,
      0.2584,
      0.1975,
      0.2252,
      0.3549,
      0.229,
      0.1897,
      0.1807,
      0.1247,
      0.1616,
      0.2615,
      0.2157,
      0.1779,
      0.1823,
      0.2359,
      0.2505,
      0.3017,
      0.2486,
      0.4808,
      0.3664,
      0.2786,
      0.3085,
      0.1414,
      0.2191,
      0.1292,
      0,
      0.2134,
      0.2442,
      0.3312,
      0.1865,
      0.3316,
      0.2218,
      0.3763,
      0.1424,
      0.0645,
      0.4066,
      0.0443,
      0.2042,
      0.1677,
      0.1116,
      0.184,
      0.1832,
      0.3859,
      0.3147,
      0.3067,
      0.3079,
      0.3215,
      0.1566,
      0.1529,
      0.4845,
      0.1389,
      0.2107,
      0.181,
      0.1518,
      0.0994,
      0.2037,
      0.2018,
      0.2053,
      0.1918,
      0.1657,
      0.2411,
      0.1464,
      0.1631,
      0.4546,
      0.224,
      0.1785,
      0.1371,
      0.1351,
      0.1888,
      0.0408,
      0.0756,
      0.1546,
      0.0601,
      0,
      0,
      0,
      0,
      0,
      0.295,
      0.0429,
      0.2116,
      0.2322,
      0.2729,
      0.2209,
      0.124,
      0.284,
      0.1946,
      0.1196,
      0.0548,
      0.1581,
      0.3455,
      0.1128,
      0.2148,
      0.2847,
      0.2369,
      0.2886,
      0.1056,
      0.1674,
      0.155,
      0.1534,
      0.1427,
      0.1436,
      0.1276,
      0.1697,
      0.1375,
      0.1035,
      0.1671,
      0.2167,
      0.1019,
      0.1351,
      0.1972,
      0.1238,
      0.1796,
      0.4023,
      0.0369,
      0.139,
      0.2865,
      0.1878,
      0.1817,
      0.1209,
      0.2342,
      0.2615,
      0.2268,
      0.2046,
      0.1745,
      0.2473,
      0.1439,
      0.354,
      0.3571,
      0.0982,
      0.4321,
      0.1187,
      0.2498,
      0.3963,
      0.3354,
      0.2363,
      0.3163,
      0.3025,
      0.2664,
      0.3275,
      0,
      0.4057,
      0.2766,
      0.0182,
      0.471,
      0.0139,
      0.1873,
      0.2361,
      0.2817,
      0.0027,
      0.2478,
      0.3983,
      0.2232,
      0.1768,
      0.262,
      0.2758,
      0.2702,
      0.2733,
      0.5102,
      0.2373,
      0.1301,
      0.1969,
      0.2016,
      0.275,
      0,
      0.2506,
      0.174,
      0.2418,
      0.1527,
      0.1947,
      0.2335,
      0.1193,
      0.4565,
      0.0956,
      0.1686,
      0.3395,
      0.196,
      0.2773,
      0.1396,
      0.3094,
      0.2203,
      0.2252,
      0.3164,
      0.1265,
      0.2849,
      0.2405,
      0.323,
      0.1704,
      0.1881,
      0.475,
      0.1931,
      0.3328,
      0.1684,
      0.2286,
      0.1453,
      0.0812,
      0.3257,
      0.3299,
      0.3715,
      0.2834,
      0.3536,
      0.1428,
      0.1555,
      0.4003,
      0.101,
      0.0909,
      0.1594,
      0.1312,
      0.242,
      0.1791,
      0.2289,
      0.0473,
      0.2913,
      0.1725,
      0.2504,
      0.1728,
      0.3061,
      0.4665,
      0.2799,
      0.2067,
      0.0635,
      0.1479,
      0.3217,
      0.2496,
      0.1937,
      0.258,
      0.1907,
      0.1988,
      0.2654,
      0.3041,
      0.0199,
      0.4358,
      0.0606,
      0.0593,
      0.2841,
      0.2747,
      0.325,
      0.2617,
      0.351,
      0,
      0.2002,
      0.3858,
      0.2122,
      0.3685,
      0,
      0.4722,
      0.0745,
      0.2927,
      0.3048,
      0.2065,
      0.2886,
      0.1509,
      0.1664,
      0.1397,
      0.0555,
      0.2668,
      0.2286,
      0.3582,
      0.2558,
      0.4255,
      0.3258,
      0.2319,
      0.4472,
      0.2022,
      0.3011,
      0.1149,
      0.1674,
      0.1806,
      0.1991,
      0.2677,
      0.1155,
      0.3016,
      0.1606,
      0.344,
      0.0995,
      0.2349,
      0.483,
      0.2225,
      0.224,
      0,
      0.2278,
      0.2371,
      0.0969,
      0.2758,
      0.4032,
      0.2945,
      0.0991,
      0.2483,
      0.2878,
      0.2214,
      0.4329,
      0.1323,
      0.2737,
      0.3039,
      0.1513,
      0.3003,
      0.0087,
      0.3553,
      0.2039,
      0.1185,
      0.4207,
      0.2416,
      0.2038,
      0.2186,
      0.4499,
      0.2784,
      0.2074,
      0.2239,
      0.2285,
      0.2774,
      0.3237,
      0.2485,
      0.1739,
      0.1831,
      0.2108,
      0.2105,
      0.2431,
      0.3023,
      0.4278,
      0.2832,
      0.3025,
      0.324,
      0.2441,
      0.214,
      0,
      0,
      0.2451,
      0.282,
      0.2853,
      0.1425,
      0.331,
      0.2241,
      0.436,
      0.1776,
      0.1391,
      0.439,
      0.1918,
      0.1701,
      0.1775,
      0.1885,
      0.1513,
      0.1539,
      0.3324,
      0.2616,
      0.2647,
      0.2505,
      0.3408,
      0.1835,
      0.225,
      0.4691,
      0.1385,
      0.1409,
      0.2296,
      0.189,
      0.1326,
      0.2273,
      0.2022,
      0.2285,
      0.2199,
      0.1722,
      0.2275,
      0.1422,
      0.2425,
      0.4152,
      0.2182,
      0.151,
      0.1422,
      0.0941,
      0.1742,
      0.0687,
      0.1144,
      0.2223,
      0.0266,
      0,
      0,
      0,
      0,
      0,
      0.3487,
      0.0717,
      0.2066,
      0.2262,
      0.3271,
      0.2177,
      0.1332,
      0.1752,
      0.2024,
      0.1751,
      0.0712,
      0.1992,
      0.3476,
      0.1394,
      0.2462,
      0.1978,
      0.2281,
      0.2213,
      0.0469,
      0.1503,
      0.1764,
      0.1613,
      0.157,
      0.1292,
      0.1277,
      0.1624,
      0.1838,
      0.1348,
      0.1729,
      0.1533,
      0.1351,
      0.1608,
      0.2146,
      0.1347,
      0.0636,
      0.3812,
      0,
      0.1785,
      0.3005,
      0.2232,
      0.1969,
      0.2234,
      0.1846,
      0.2721,
      0.2503,
      0.2265,
      0.2507,
      0.1865,
      0.0534,
      0.454,
      0.4517,
      0.1193,
      0.4177,
      0.1427,
      0.3005,
      0.4296,
      0.3342,
      0.2559,
      0.2484,
      0.4075,
      0.3747,
      0.2655,
      0,
      0.3515,
      0.2817,
      0,
      0.4491,
      0.0667,
      0.1354,
      0.2505,
      0.2809,
      0.0122,
      0.2724,
      0.4111,
      0.253,
      0.1966,
      0.2697,
      0.2616,
      0.3312,
      0.3274,
      0.5039,
      0.2532,
      0.0782,
      0.1734,
      0.0942,
      0.3465,
      0,
      0.2254,
      0.1718,
      0.2338,
      0.1556,
      0.2303,
      0.161,
      0.137,
      0.4763,
      0.11,
      0.2539,
      0.2823,
      0.3011,
      0.2895,
      0.2115,
      0.2814,
      0.172,
      0.1729,
      0.329,
      0.0997,
      0.4414,
      0.1852,
      0.3951,
      0.1505,
      0.1582,
      0.4485,
      0.1534,
      0.3546,
      0.1982,
      0.2763,
      0.2992,
      0.0862,
      0.4201,
      0.294,
      0.3797,
      0.2519,
      0.3466,
      0.1643,
      0.1577,
      0.3487,
      0.1078,
      0.08,
      0.2653,
      0.1774,
      0.1407,
      0.2111,
      0.2613,
      0.1151,
      0.2965,
      0.1542,
      0.3179,
      0.1739,
      0.1873,
      0.4436,
      0.2245,
      0.2237,
      0.1195,
      0.1927,
      0.0972,
      0.2138,
      0.2336,
      0.259,
      0.212,
      0.0868,
      0.2924,
      0.4194,
      0,
      0.4802,
      0,
      0.0627,
      0.2514,
      0.2651,
      0.4336,
      0.273,
      0.3842,
      0,
      0.25,
      0.329,
      0.2106,
      0.4185,
      0,
      0.5111,
      0.1312,
      0.3763,
      0.3389,
      0.1965,
      0.3624,
      0.168,
      0.1801,
      0.1518,
      0.0853,
      0.3345,
      0.2896,
      0.4227,
      0.3135,
      0.3438,
      0.1605,
      0.2999,
      0.4476,
      0.098,
      0.3871,
      0.1181,
      0.2105,
      0.1331,
      0.1684,
      0.2639,
      0.0876,
      0.3305,
      0.2013,
      0.2651,
      0.1933,
      0.2944,
      0.4827,
      0.16,
      0.2221,
      0.0276,
      0.3026,
      0.2391,
      0.0689,
      0.324,
      0.3186,
      0.2674,
      0.0616,
      0.2554,
      0.31,
      0.256,
      0.3971,
      0.1267,
      0.2357,
      0.2573,
      0.1788,
      0.3897,
      0,
      0.3097,
      0.2527,
      0.1724,
      0.3253,
      0.278,
      0.1289,
      0.2217,
      0.4438,
      0.2447,
      0.2372,
      0.1864,
      0.2749,
      0.1932,
      0.2629,
      0.2292,
      0.1273,
      0.1208,
      0.1203,
      0.19,
      0.2938,
      0.2478,
      0.4418,
      0.2752,
      0.191,
      0.3085,
      0.1914,
      0.189,
      0.0766,
      0,
      0.2305,
      0.2795,
      0.3502,
      0.111,
      0.3388,
      0.1973,
      0.4346,
      0.3053,
      0.1268,
      0.4401,
      0.227,
      0.1809,
      0.2545,
      0.1359,
      0.1904,
      0.102,
      0.4224,
      0.3105,
      0.2549,
      0.2484,
      0.3524,
      0.1892,
      0.0783,
      0.4676,
      0.1672,
      0.2111,
      0.2422,
      0.1926,
      0.1466,
      0.205,
      0.1964,
      0.1964,
      0.2141,
      0.0937,
      0.2793,
      0.1756,
      0.1971,
      0.4145,
      0.1724,
      0.2159,
      0.1326,
      0.1362,
      0.2445,
      0.1038,
      0.0914,
      0.1827,
      0.0125,
      0,
      0,
      0,
      0,
      0,
      0.3225,
      0.1853,
      0.2012,
      0.2826,
      0.2628,
      0.1873,
      0.0096,
      0.0857,
      0.2249,
      0.1057,
      0.1492,
      0.2077,
      0.3482,
      0.2221,
      0.241,
      0.1443,
      0.2304,
      0.243,
      0.0487,
      0.077,
      0.1638,
      0.2083,
      0.1492,
      0.0995,
      0.132,
      0.1803,
      0.2125,
      0.0286,
      0.0884,
      0.1347,
      0.1566,
      0.2187,
      0.1625,
      0.1032,
      0.023,
      0.438,
      0.0549,
      0.1409,
      0.2733,
      0.1775,
      0.1174,
      0.2899,
      0.2451,
      0.2887,
      0.3093,
      0.3892,
      0.3191,
      0.2388,
      0,
      0.452,
      0.441,
      0.2065,
      0.3565,
      0.0933,
      0.2637,
      0.532,
      0.2921,
      0.3523,
      0.3764,
      0.3923,
      0.3842,
      0.357,
      0,
      0.4942,
      0.2528,
      0.0341,
      0.4023,
      0.297,
      0.1133,
      0.3016,
      0.3728,
      0.041,
      0.1691,
      0.4385,
      0.2278,
      0.3067,
      0.2778,
      0.3235,
      0.2807,
      0.3208,
      0.4706,
      0.2194,
      0.1537,
      0.2378,
      0.149,
      0.3279,
      0,
      0.1945,
      0.201,
      0.2722,
      0.1808,
      0.1115,
      0.1647,
      0.1618,
      0.4207,
      0.1271,
      0.3159,
      0.3243,
      0.3369,
      0.3178,
      0.2296,
      0.2894,
      0.1933,
      0.1984,
      0.3137,
      0.1394,
      0.3648,
      0.2025,
      0.3656,
      0.1636,
      0.2266,
      0.3771,
      0.1665,
      0.3655,
      0.1328,
      0.2277,
      0.1969,
      0.1283,
      0.3983,
      0.3888,
      0.3467,
      0.3145,
      0.4028,
      0.1631,
      0.1505,
      0.351,
      0.126,
      0.1653,
      0.1275,
      0.189,
      0.2025,
      0.1644,
      0.3043,
      0.0164,
      0.303,
      0.1151,
      0.2749,
      0.224,
      0.2697,
      0.4034,
      0.3283,
      0.2552,
      0.2061,
      0.2193,
      0.2975,
      0.2612,
      0.2254,
      0.2566,
      0.2421,
      0.3444,
      0.3435,
      0.3632,
      0,
      0.4897,
      0.0698,
      0.0722,
      0.2494,
      0.2529,
      0.3978,
      0.2428,
      0.3599,
      0.0432,
      0.322,
      0.3779,
      0.2389,
      0.3987,
      0,
      0.4205,
      0.1588,
      0.2003,
      0.3135,
      0.2173,
      0.3557,
      0.4124,
      0.2106,
      0.2667,
      0.1407,
      0.311,
      0.3417,
      0.3751,
      0.2526,
      0.3728,
      0.2004,
      0.3283,
      0.4356,
      0.1593,
      0.351,
      0.1718,
      0.2637,
      0.1947,
      0.2209,
      0.3455,
      0.047,
      0.3319,
      0.2417,
      0.3897,
      0.2544,
      0.2636,
      0.406,
      0.2783,
      0.2398,
      0.0196,
      0.2966,
      0.3339,
      0.0034,
      0.3066,
      0.3979,
      0.3398,
      0.1636,
      0.2708,
      0.2678,
      0.278,
      0.4764,
      0.116,
      0.2085,
      0.2236,
      0.1755,
      0.3364,
      0.0161,
      0.3342,
      0.2137,
      0.1972,
      0.3619,
      0.2726,
      0.2963,
      0.2097,
      0.4132,
      0.264,
      0.2234,
      0.2161,
      0.24,
      0.3123,
      0.2535,
      0.1804,
      0.2818,
      0.2461,
      0.2534,
      0.2694,
      0.3697,
      0.1581,
      0.4531,
      0.22,
      0.4239,
      0.3334,
      0.3106,
      0.2715,
      0.1977,
      0,
      0.3715,
      0.246,
      0.3314,
      0.2011,
      0.3157,
      0.1049,
      0.4991,
      0.3735,
      0.1096,
      0.4287,
      0.1787,
      0.1894,
      0.2736,
      0.1636,
      0.1856,
      0.1429,
      0.3956,
      0.3322,
      0.304,
      0.232,
      0.3527,
      0.226,
      0.1796,
      0.4538,
      0.1092,
      0.1935,
      0.3263,
      0.2206,
      0.1477,
      0.2113,
      0.1584,
      0.2094,
      0.2341,
      0.0589,
      0.3085,
      0.1572,
      0.1807,
      0.3762,
      0.1848,
      0.1966,
      0.1267,
      0.2128,
      0.2038,
      0.0196,
      0.0135,
      0.1852,
      0.08,
      0,
      0,
      0,
      0,
      0,
      0.321,
      0.1741,
      0.2304,
      0.2694,
      0.3201,
      0.2606,
      0.0658,
      0.1677,
      0.2009,
      0.1396,
      0.1317,
      0.2468,
      0.3147,
      0.2274,
      0.1851,
      0.1617,
      0.1764,
      0.1312,
      0.0623,
      0.0782,
      0.1107,
      0.143,
      0.1498,
      0.1141,
      0.1206,
      0.1633,
      0.2252,
      0.0384,
      0.1633,
      0.2045,
      0.1589,
      0.2722,
      0.2156,
      0.1361,
      0.084,
      0.4198,
      0.0416,
      0.0944,
      0.2847,
      0.1904,
      0.2083,
      0.2232,
      0.1857,
      0.1772,
      0.3637,
      0.1621,
      0.2398,
      0.3135,
      0.0616,
      0.4706,
      0.4694,
      0.1763,
      0.4097,
      0.1086,
      0.3414,
      0.49,
      0.379,
      0.298,
      0.3238,
      0.417,
      0.4302,
      0.3421,
      0,
      0.4229,
      0.2811,
      0,
      0.464,
      0.276,
      0.1782,
      0.371,
      0.2561,
      0,
      0.2288,
      0.4445,
      0.3292,
      0.4033,
      0.2899,
      0.3691,
      0.3299,
      0.3231,
      0.5155,
      0.3077,
      0.132,
      0.2729,
      0.1583,
      0.34,
      0,
      0.1121,
      0.1352,
      0.3068,
      0.2867,
      0.2513,
      0.1717,
      0.1005,
      0.4372,
      0.1558,
      0.2019,
      0.3228,
      0.3078,
      0.3669,
      0.1525,
      0.3581,
      0.1596,
      0.2175,
      0.3762,
      0.1777,
      0.4312,
      0.1381,
      0.4362,
      0.0919,
      0.2091,
      0.3338,
      0.0976,
      0.3474,
      0.1231,
      0.2302,
      0.2417,
      0.1091,
      0.4312,
      0.3584,
      0.3964,
      0.2885,
      0.3897,
      0.2528,
      0.1675,
      0.3047,
      0.1072,
      0.1234,
      0.1118,
      0.1369,
      0.2042,
      0.1569,
      0.276,
      0.0727,
      0.3691,
      0.1943,
      0.3587,
      0.2448,
      0.1842,
      0.4314,
      0.2789,
      0.2261,
      0.209,
      0.2342,
      0.3545,
      0.1983,
      0.2067,
      0.3469,
      0.2433,
      0.3536,
      0.3136,
      0.4299,
      0,
      0.4609,
      0,
      0.0125,
      0.3309,
      0.2663,
      0.4193,
      0.1726,
      0.4244,
      0,
      0.2987,
      0.3892,
      0.2373,
      0.3803,
      0,
      0.4848,
      0.1796,
      0.2255,
      0.1978,
      0.2645,
      0.3825,
      0.2964,
      0.26,
      0.2394,
      0.1819,
      0.3229,
      0.339,
      0.402,
      0.2958,
      0.425,
      0.1417,
      0.274,
      0.4559,
      0.1917,
      0.3778,
      0.1399,
      0.2775,
      0.1984,
      0.2325,
      0.2735,
      0.1135,
      0.3739,
      0.1332,
      0.4401,
      0.2097,
      0.2959,
      0.4396,
      0.2876,
      0.3213,
      0,
      0.2797,
      0.2437,
      0.0029,
      0.3585,
      0.4053,
      0.3314,
      0.0947,
      0.3305,
      0.3046,
      0.2851,
      0.4221,
      0.1337,
      0.2203,
      0.2389,
      0.1443,
      0.3558,
      0,
      0.3999,
      0.2369,
      0.1983,
      0.291,
      0.3163,
      0.2595,
      0.2375,
      0.4561,
      0.2755,
      0.2448,
      0.2114,
      0.2406,
      0.3638,
      0.1934,
      0.2162,
      0.2224,
      0.215,
      0.1812,
      0.2469,
      0.3683,
      0.2172,
      0.4246,
      0.1565,
      0.3584,
      0.3083,
      0.1774,
      0.294,
      0.2397,
      0,
      0.3592,
      0.2442,
      0.3521,
      0.1192,
      0.3721,
      0.2372,
      0.4862,
      0.3225,
      0.0416,
      0.4138,
      0.1724,
      0.2902,
      0.2415,
      0.1123,
      0.2089,
      0.2675,
      0.4093,
      0.3805,
      0.3759,
      0.2594,
      0.3581,
      0.2667,
      0.2063,
      0.4706,
      0.1392,
      0.2192,
      0.1847,
      0.1561,
      0.1608,
      0.2745,
      0.1494,
      0.1598,
      0.1573,
      0.1179,
      0.3207,
      0.0969,
      0.1591,
      0.4814,
      0.2192,
      0.1918,
      0.0654,
      0.1982,
      0.2098,
      0.0398,
      0.1106,
      0.192,
      0.0391,
      0,
      0,
      0,
      0,
      0,
      0.2518,
      0.1639,
      0.2272,
      0.2298,
      0.1341,
      0.2118,
      0.074,
      0.1955,
      0.1963,
      0.1219,
      0.0639,
      0.1585,
      0.3173,
      0.2059,
      0.2454,
      0.2067,
      0.1916,
      0.2493,
      0.0287,
      0.1139,
      0.1408,
      0.1376,
      0.1172,
      0.0803,
      0.1164,
      0.2028,
      0.248,
      0.102,
      0.1757,
      0.2259,
      0.2072,
      0.2092,
      0.2379,
      0.1476,
      0.2503,
      0.5171,
      0.076,
      0.1331,
      0.3675,
      0.268,
      0.3286,
      0.1948,
      0.2233,
      0.3721,
      0.2973,
      0.1949,
      0.176,
      0.2366,
      0.0983,
      0.5292,
      0.4048,
      0.141,
      0.3659,
      0.2637,
      0.3365,
      0.4732,
      0.3832,
      0.308,
      0.3359,
      0.4177,
      0.5088,
      0.4511,
      0,
      0.4002,
      0.3218,
      0.0286,
      0.5015,
      0.0387,
      0.1589,
      0.4093,
      0.2387,
      0.0772,
      0.3183,
      0.4678,
      0.3585,
      0.2988,
      0.2928,
      0.3413,
      0.2954,
      0.2975,
      0.5425,
      0.4084,
      0.0621,
      0.1793,
      0.1375,
      0.3846,
      0,
      0.1846,
      0.1764,
      0.3019,
      0.1975,
      0.2442,
      0.2609,
      0.0895,
      0.5059,
      0.2321,
      0.2033,
      0.2766,
      0.2994,
      0.3646,
      0.3244,
      0.3911,
      0.1756,
      0.2049,
      0.3729,
      0.168,
      0.4707,
      0.1789,
      0.5186,
      0.0913,
      0.2123,
      0.3932,
      0.1868,
      0.3861,
      0.1412,
      0.2839,
      0.2306,
      0.0984,
      0.4147,
      0.4878,
      0.4895,
      0.2431,
      0.4099,
      0.2401,
      0.245,
      0.3528,
      0.097,
      0.0753,
      0.2387,
      0.1814,
      0.2144,
      0.2029,
      0.3432,
      0.1725,
      0.4278,
      0.2473,
      0.3526,
      0.3468,
      0.2948,
      0.5091,
      0.2441,
      0.4414,
      0.361,
      0.238,
      0.2722,
      0.4297,
      0.2595,
      0.4084,
      0.2579,
      0.2166,
      0.3266,
      0.4303,
      0,
      0.426,
      0.0432,
      0.0279,
      0.4361,
      0.2951,
      0.4122,
      0.1689,
      0.4614,
      0,
      0.1834,
      0.3571,
      0.2058,
      0.4577,
      0,
      0.554,
      0.0575,
      0.3508,
      0.2598,
      0.3199,
      0.3566,
      0.1802,
      0.2147,
      0.2181,
      0.3082,
      0.3228,
      0.3474,
      0.4751,
      0.3876,
      0.4466,
      0.4025,
      0.2716,
      0.476,
      0.2325,
      0.3734,
      0.1743,
      0.2165,
      0.2513,
      0.2627,
      0.3462,
      0.1052,
      0.4751,
      0.2609,
      0.4109,
      0.1749,
      0.2722,
      0.4818,
      0.2015,
      0.3614,
      0,
      0.3015,
      0.2319,
      0.1233,
      0.3716,
      0.467,
      0.4224,
      0.1666,
      0.3683,
      0.3145,
      0.263,
      0.5077,
      0.156,
      0.2581,
      0.2426,
      0.1511,
      0.3783,
      0,
      0.4616,
      0.1173,
      0.2152,
      0.3065,
      0.4299,
      0.3683,
      0.2725,
      0.5392,
      0.1906,
      0.4351,
      0.3424,
      0.2322,
      0.2717,
      0.4267,
      0.2328,
      0.1478,
      0.1809,
      0.2326,
      0.3546,
      0.186,
      0.3799,
      0.4883,
      0.3405,
      0.2889,
      0.3344,
      0.2688,
      0.2168,
      0.1945,
      0,
      0.4129,
      0.2108,
      0.3489,
      0.1407,
      0.4665,
      0.2612,
      0.5003,
      0.1858,
      0.0642,
      0.4296,
      0.2008,
      0.214,
      0.1803,
      0.1487,
      0.1975,
      0.2118,
      0.4175,
      0.4679,
      0.3942,
      0.1189,
      0.3716,
      0.2161,
      0.1973,
      0.4218,
      0.1589,
      0.2252,
      0.1735,
      0.1865,
      0.1779,
      0.1879,
      0.1847,
      0.185,
      0.2302,
      0.1438,
      0.3275,
      0.0964,
      0.2099,
      0.5511,
      0.2526,
      0.1421,
      0.1038,
      0.2347,
      0.1945,
      0.0622,
      0.0546,
      0.0981,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2655,
      0.1802,
      0.1571,
      0.2399,
      0.1594,
      0.2605,
      0.017,
      0.2067,
      0.1919,
      0.0431,
      0.033,
      0.1896,
      0.2789,
      0.1438,
      0.1832,
      0.2443,
      0.1664,
      0.1653,
      0.0531,
      0.1567,
      0.0685,
      0.1896,
      0.1432,
      0.1538,
      0.1455,
      0.07,
      0.1101,
      0.1343,
      0.1843,
      0.1935,
      0.1353,
      0.215,
      0.241,
      0.1643,
      0.2011,
      0.4977,
      0.0645,
      0.0944,
      0.2633,
      0.2752,
      0.239,
      0.2692,
      0.2266,
      0.2824,
      0.2585,
      0.2965,
      0.1213,
      0.2599,
      0.1101,
      0.5399,
      0.4404,
      0.1506,
      0.4263,
      0.1529,
      0.3182,
      0.5429,
      0.4116,
      0.3101,
      0.3625,
      0.4239,
      0.4142,
      0.4549,
      0,
      0.4129,
      0.2803,
      0.0331,
      0.5188,
      0.0827,
      0.2548,
      0.2737,
      0.2048,
      0.0965,
      0.3676,
      0.4776,
      0.3605,
      0.2695,
      0.2588,
      0.2852,
      0.3372,
      0.2366,
      0.5515,
      0.3499,
      0.1398,
      0.2196,
      0.1709,
      0.4298,
      0,
      0.1776,
      0.1889,
      0.2784,
      0.1932,
      0.2624,
      0.1817,
      0.062,
      0.512,
      0.237,
      0.2336,
      0.3174,
      0.3473,
      0.3732,
      0.2535,
      0.4072,
      0.268,
      0.1971,
      0.3603,
      0.1086,
      0.4428,
      0.2469,
      0.5189,
      0.0526,
      0.1891,
      0.3966,
      0.115,
      0.3852,
      0.1262,
      0.3292,
      0.2606,
      0.1094,
      0.3978,
      0.4695,
      0.4533,
      0.3387,
      0.4016,
      0.2612,
      0.1997,
      0.3704,
      0.0626,
      0.1726,
      0.2107,
      0.1349,
      0.2566,
      0.2106,
      0.314,
      0.1479,
      0.3877,
      0.2146,
      0.2717,
      0.2352,
      0.2291,
      0.4188,
      0.2673,
      0.3306,
      0.2348,
      0.2571,
      0.3295,
      0.3314,
      0.2615,
      0.376,
      0.2533,
      0.267,
      0.3035,
      0.4328,
      0,
      0.4885,
      0.1952,
      0.0236,
      0.3061,
      0.27,
      0.4093,
      0.257,
      0.3765,
      0,
      0.1397,
      0.2818,
      0.1299,
      0.3922,
      0,
      0.5262,
      0.0968,
      0.4838,
      0.2529,
      0.2736,
      0.382,
      0.1756,
      0.2144,
      0.2205,
      0.2998,
      0.3124,
      0.3136,
      0.4342,
      0.4628,
      0.4676,
      0.4774,
      0.2691,
      0.4709,
      0.2607,
      0.3789,
      0.1327,
      0.2629,
      0.1897,
      0.1631,
      0.3154,
      0.1918,
      0.4299,
      0.2054,
      0.4158,
      0.195,
      0.2472,
      0.4441,
      0.2656,
      0.2787,
      0,
      0.299,
      0.248,
      0.1203,
      0.3445,
      0.4538,
      0.4013,
      0.1235,
      0.309,
      0.2907,
      0.2048,
      0.5057,
      0.1871,
      0.2445,
      0.2249,
      0.1835,
      0.3813,
      0,
      0.4438,
      0.2157,
      0.2731,
      0.292,
      0.371,
      0.2581,
      0.228,
      0.5,
      0.265,
      0.2946,
      0.3231,
      0.2178,
      0.2663,
      0.3127,
      0.2383,
      0.1487,
      0.2049,
      0.2109,
      0.2303,
      0.2213,
      0.3693,
      0.5034,
      0.4096,
      0.3004,
      0.3173,
      0.2437,
      0.2899,
      0.1566,
      0,
      0.2945,
      0.2303,
      0.3555,
      0.185,
      0.3849,
      0.2771,
      0.4783,
      0.1874,
      0.1496,
      0.3401,
      0.14,
      0.2438,
      0.2041,
      0.1015,
      0.2154,
      0.0841,
      0.4188,
      0.4256,
      0.3627,
      0.1269,
      0.4064,
      0.1765,
      0.2503,
      0.4268,
      0.1395,
      0.2164,
      0.2078,
      0.2118,
      0.1049,
      0.1857,
      0.2023,
      0.1336,
      0.1923,
      0.1858,
      0.2721,
      0.1396,
      0.1745,
      0.4889,
      0.1813,
      0.1285,
      0.1182,
      0.1548,
      0.2259,
      0.1039,
      0.0414,
      0.1247,
      0.0053,
      0,
      0,
      0,
      0,
      0,
      0.3368,
      0.19,
      0.1738,
      0.179,
      0.1936,
      0.3086,
      0,
      0.1272,
      0.133,
      0.0747,
      0.025,
      0.1866,
      0.3114,
      0.1895,
      0.2405,
      0.279,
      0.0839,
      0.1455,
      0.0457,
      0.132,
      0.0996,
      0.2342,
      0.1377,
      0.1076,
      0.1282,
      0.149,
      0.1524,
      0.088,
      0.1575,
      0.2625,
      0.0357,
      0.2294,
      0.2458,
      0.1027,
      0.2006,
      0.4832,
      0,
      0.2367,
      0.1762,
      0.2184,
      0.1801,
      0.2556,
      0.2062,
      0.2885,
      0.2623,
      0.2657,
      0.1472,
      0.1764,
      0,
      0.547,
      0.4268,
      0.0538,
      0.3366,
      0.111,
      0.3104,
      0.5019,
      0.3812,
      0.2689,
      0.3304,
      0.3254,
      0.3632,
      0.2954,
      0,
      0.4723,
      0.2628,
      0.024,
      0.4647,
      0.1132,
      0.236,
      0.2534,
      0.2372,
      0.003,
      0.2968,
      0.3522,
      0.2584,
      0.1996,
      0.2021,
      0.3592,
      0.265,
      0.1897,
      0.4874,
      0.2679,
      0.1136,
      0.2932,
      0.1661,
      0.3051,
      0,
      0.1305,
      0.1825,
      0.2821,
      0.1304,
      0.2483,
      0.2241,
      0.0849,
      0.4992,
      0.24,
      0.2644,
      0.2615,
      0.3339,
      0.3997,
      0.1995,
      0.2854,
      0.2836,
      0.1266,
      0.2973,
      0.2204,
      0.364,
      0.2229,
      0.54,
      0.1121,
      0.1316,
      0.3674,
      0.1702,
      0.2959,
      0.1223,
      0.2706,
      0.3005,
      0.0807,
      0.3384,
      0.3885,
      0.3571,
      0.3351,
      0.4115,
      0.2241,
      0.2003,
      0.3319,
      0.0252,
      0.1976,
      0.1967,
      0.1755,
      0.1971,
      0.1317,
      0.3619,
      0.1173,
      0.2891,
      0.2094,
      0.371,
      0.2216,
      0.2759,
      0.4271,
      0.28,
      0.2994,
      0.2299,
      0.1966,
      0.3064,
      0.2798,
      0.1948,
      0.2576,
      0.2418,
      0.2798,
      0.3406,
      0.33,
      0,
      0.477,
      0.0844,
      0.0124,
      0.1914,
      0.2939,
      0.3419,
      0.2245,
      0.3447,
      0,
      0.1695,
      0.3538,
      0.2974,
      0.405,
      0.0051,
      0.5477,
      0.0703,
      0.2963,
      0.2335,
      0.2323,
      0.3067,
      0.2233,
      0.2375,
      0.1932,
      0.1234,
      0.2573,
      0.3496,
      0.3539,
      0.2601,
      0.516,
      0.294,
      0.2513,
      0.3378,
      0.0988,
      0.2851,
      0.2338,
      0.2274,
      0.1496,
      0.2417,
      0.3901,
      0.1313,
      0.3452,
      0.1834,
      0.4722,
      0.2283,
      0.2438,
      0.4506,
      0.2359,
      0.2693,
      0,
      0.2874,
      0.2186,
      0.0839,
      0.3368,
      0.3809,
      0.2558,
      0.166,
      0.2637,
      0.2729,
      0.1853,
      0.4924,
      0.1561,
      0.2805,
      0.3212,
      0.1636,
      0.2848,
      0,
      0.3167,
      0.2548,
      0.2219,
      0.2799,
      0.37,
      0.2021,
      0.2359,
      0.4994,
      0.2382,
      0.2484,
      0.2988,
      0.2415,
      0.3273,
      0.3069,
      0.2728,
      0.1983,
      0.2244,
      0.2815,
      0.1795,
      0.2437,
      0.3075,
      0.5087,
      0.2717,
      0.336,
      0.2949,
      0.2623,
      0.2088,
      0.0712,
      0,
      0.2873,
      0.2122,
      0.2733,
      0.188,
      0.3211,
      0.2516,
      0.5145,
      0.1666,
      0.0721,
      0.3615,
      0.173,
      0.196,
      0.2407,
      0.1918,
      0.2199,
      0.1952,
      0.3202,
      0.3744,
      0.2992,
      0.1369,
      0.4189,
      0.2354,
      0.1933,
      0.3991,
      0.1402,
      0.2277,
      0.2074,
      0.1592,
      0.037,
      0.0976,
      0.0973,
      0.0999,
      0.1747,
      0.1278,
      0.3392,
      0.0398,
      0.1457,
      0.4983,
      0.2084,
      0.1261,
      0.1211,
      0.0927,
      0.2116,
      0.0878,
      0.1108,
      0.1814,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3152,
      0.0734,
      0.08,
      0.1898,
      0.1518,
      0.243,
      0,
      0.2342,
      0.1762,
      0.0986,
      0.0694,
      0.154,
      0.3126,
      0.1607,
      0.194,
      0.2272,
      0.1579,
      0.1868,
      0,
      0.1645,
      0.1424,
      0.1773,
      0.1185,
      0.0911,
      0.18,
      0.1398,
      0.1607,
      0.053,
      0.1156,
      0.1929,
      0.1576,
      0.2192,
      0.1917,
      0.0948,
      0.1931,
      0.611,
      0,
      0.2324,
      0.2771,
      0.2287,
      0.2191,
      0.3352,
      0.2903,
      0.2739,
      0.4209,
      0.365,
      0.2533,
      0.2768,
      0.146,
      0.5132,
      0.425,
      0.1008,
      0.4314,
      0.0655,
      0.3315,
      0.5233,
      0.3264,
      0.2969,
      0.395,
      0.3565,
      0.3411,
      0.3531,
      0,
      0.5329,
      0.1879,
      0.0167,
      0.4748,
      0.0748,
      0.2751,
      0.2401,
      0.244,
      0,
      0.2812,
      0.3702,
      0.3752,
      0.2845,
      0.3376,
      0.3084,
      0.25,
      0.2729,
      0.6039,
      0.2657,
      0.2872,
      0.1805,
      0.1205,
      0.2903,
      0,
      0.1659,
      0.2598,
      0.243,
      0.1427,
      0.3155,
      0.2508,
      0.06,
      0.6269,
      0.1605,
      0.2655,
      0.3312,
      0.3382,
      0.3343,
      0.197,
      0.3689,
      0.2737,
      0.1505,
      0.2946,
      0.2056,
      0.3548,
      0.1649,
      0.4806,
      0.0919,
      0.1901,
      0.4356,
      0.2031,
      0.3307,
      0.2433,
      0.2609,
      0.3565,
      0.062,
      0.343,
      0.3957,
      0.4139,
      0.2365,
      0.4982,
      0.2382,
      0.2293,
      0.3969,
      0.0422,
      0.1485,
      0.1117,
      0.2107,
      0.2017,
      0.2224,
      0.3275,
      0.1597,
      0.378,
      0.1857,
      0.265,
      0.1729,
      0.2266,
      0.5197,
      0.3147,
      0.2818,
      0.2968,
      0.2338,
      0.3888,
      0.2814,
      0.2137,
      0.3645,
      0.2691,
      0.1813,
      0.3761,
      0.3713,
      0,
      0.5232,
      0.0138,
      0.0309,
      0.2041,
      0.3247,
      0.3444,
      0.2986,
      0.3762,
      0,
      0.1768,
      0.4191,
      0.2152,
      0.3576,
      0.0153,
      0.5434,
      0.154,
      0.2187,
      0.3203,
      0.224,
      0.3001,
      0.1997,
      0.2746,
      0.2129,
      0.0501,
      0.2694,
      0.3184,
      0.3847,
      0.2506,
      0.594,
      0.2127,
      0.278,
      0.4069,
      0.1146,
      0.328,
      0.2097,
      0.1488,
      0.1095,
      0.2005,
      0.3764,
      0.1046,
      0.3772,
      0.1888,
      0.4115,
      0.3444,
      0.2361,
      0.5312,
      0.1365,
      0.3078,
      0.0443,
      0.2946,
      0.2939,
      0.0802,
      0.3488,
      0.3533,
      0.3973,
      0.0881,
      0.3728,
      0.2408,
      0.3243,
      0.5722,
      0.0258,
      0.2144,
      0.2514,
      0.1439,
      0.3277,
      0.0002,
      0.3807,
      0.2707,
      0.3099,
      0.299,
      0.3692,
      0.2548,
      0.2149,
      0.507,
      0.2614,
      0.251,
      0.296,
      0.2768,
      0.3335,
      0.2994,
      0.2342,
      0.1577,
      0.2219,
      0.2579,
      0.2709,
      0.1885,
      0.284,
      0.6305,
      0.279,
      0.3634,
      0.3875,
      0.3247,
      0.2683,
      0.0868,
      0,
      0.3571,
      0.153,
      0.3214,
      0.2037,
      0.3415,
      0.316,
      0.4979,
      0.1678,
      0.1134,
      0.4385,
      0.1354,
      0.256,
      0.2494,
      0.1864,
      0.212,
      0.1953,
      0.3086,
      0.3483,
      0.3618,
      0.1405,
      0.4877,
      0.2148,
      0.2818,
      0.5312,
      0.1736,
      0.231,
      0.2613,
      0.1345,
      0.1139,
      0.1902,
      0.1912,
      0.1257,
      0.143,
      0.1776,
      0.2549,
      0.1182,
      0.2343,
      0.5797,
      0.2737,
      0.1608,
      0.0982,
      0.0792,
      0.2614,
      0.1297,
      0.0997,
      0.1972,
      0.053,
      0,
      0,
      0,
      0,
      0,
      0.3467,
      0.193,
      0.1432,
      0.2388,
      0.1409,
      0.1879,
      0.0695,
      0.2297,
      0.2002,
      0.0969,
      0.1825,
      0.1319,
      0.2423,
      0.265,
      0.2204,
      0.2704,
      0.0879,
      0.1733,
      0.0714,
      0.1166,
      0.0805,
      0.1704,
      0.1743,
      0.0863,
      0.1421,
      0.2388,
      0.1334,
      0.0878,
      0.1045,
      0.1363,
      0.21,
      0.2221,
      0.1897,
      0.1397,
      0.1501,
      0.5595,
      0.0146,
      0.2375,
      0.2979,
      0.2093,
      0.3282,
      0.3394,
      0.2583,
      0.2629,
      0.3657,
      0.3686,
      0.1928,
      0.1484,
      0.1327,
      0.5327,
      0.354,
      0.1733,
      0.4266,
      0.0894,
      0.3423,
      0.5251,
      0.3972,
      0.2713,
      0.3504,
      0.35,
      0.2972,
      0.369,
      0,
      0.4658,
      0.2609,
      0.0293,
      0.5182,
      0.0931,
      0.2219,
      0.2635,
      0.288,
      0,
      0.2305,
      0.415,
      0.3375,
      0.2263,
      0.2605,
      0.3076,
      0.2663,
      0.3049,
      0.5607,
      0.1621,
      0.2732,
      0.1909,
      0.1499,
      0.2739,
      0,
      0.1692,
      0.2209,
      0.2044,
      0.1706,
      0.2776,
      0.1781,
      0.0672,
      0.5659,
      0.1162,
      0.3619,
      0.3098,
      0.3935,
      0.3054,
      0.257,
      0.2843,
      0.3271,
      0.1807,
      0.2937,
      0.2074,
      0.3818,
      0.1931,
      0.5159,
      0.1581,
      0.168,
      0.4415,
      0.2007,
      0.3445,
      0.2797,
      0.2688,
      0.2253,
      0.0689,
      0.3375,
      0.3606,
      0.3244,
      0.2932,
      0.4303,
      0.2036,
      0.2154,
      0.3909,
      0.0871,
      0.1367,
      0.1144,
      0.2226,
      0.196,
      0.1963,
      0.283,
      0.1241,
      0.321,
      0.1953,
      0.3033,
      0.2091,
      0.2527,
      0.4804,
      0.35,
      0.3051,
      0.1866,
      0.2922,
      0.3417,
      0.3016,
      0.2505,
      0.3095,
      0.2365,
      0.1703,
      0.3351,
      0.3362,
      0,
      0.5544,
      0,
      0.0014,
      0.1867,
      0.3442,
      0.3643,
      0.3365,
      0.4076,
      0,
      0.2176,
      0.3414,
      0.2098,
      0.4154,
      0,
      0.5372,
      0.1741,
      0.2353,
      0.3151,
      0.1695,
      0.3603,
      0.1542,
      0.2462,
      0.2486,
      0.1143,
      0.2615,
      0.2862,
      0.3831,
      0.2561,
      0.5125,
      0.1446,
      0.3092,
      0.4219,
      0.0562,
      0.3761,
      0.2491,
      0.239,
      0.0479,
      0.1562,
      0.2723,
      0.2111,
      0.3533,
      0.1943,
      0.4609,
      0.2972,
      0.3102,
      0.4893,
      0.2139,
      0.3602,
      0.0337,
      0.3364,
      0.1318,
      0.0105,
      0.3916,
      0.4233,
      0.2879,
      0.1334,
      0.3437,
      0.2557,
      0.266,
      0.5602,
      0.045,
      0.1937,
      0.2481,
      0.1739,
      0.2919,
      0.0125,
      0.2992,
      0.2243,
      0.2709,
      0.3032,
      0.335,
      0.2607,
      0.2424,
      0.5186,
      0.3193,
      0.2655,
      0.2814,
      0.2946,
      0.3414,
      0.2429,
      0.2099,
      0.2333,
      0.2398,
      0.2426,
      0.3126,
      0.2693,
      0.2773,
      0.5574,
      0.2907,
      0.369,
      0.3154,
      0.367,
      0.2539,
      0.0797,
      0,
      0.3054,
      0.2304,
      0.2685,
      0.2514,
      0.4156,
      0.2007,
      0.5123,
      0.1646,
      0.2101,
      0.437,
      0.2017,
      0.302,
      0.195,
      0.1078,
      0.2177,
      0.17,
      0.2987,
      0.3383,
      0.3223,
      0.1079,
      0.426,
      0.166,
      0.2575,
      0.5627,
      0.166,
      0.2225,
      0.1998,
      0.1863,
      0.1605,
      0.211,
      0.1425,
      0.0616,
      0.2321,
      0.1518,
      0.271,
      0.2477,
      0.2164,
      0.5387,
      0.2282,
      0.2419,
      0.1552,
      0.1488,
      0.1787,
      0.0889,
      0.1076,
      0.1902,
      0.0656,
      0,
      0,
      0,
      0,
      0,
      0.327,
      0.3044,
      0.1354,
      0.255,
      0.2636,
      0.2468,
      0.1136,
      0.1835,
      0.1312,
      0.1554,
      0.1826,
      0.1843,
      0.315,
      0.2826,
      0.2405,
      0.1661,
      0.0291,
      0.2166,
      0.0741,
      0.0864,
      0.0521,
      0.1358,
      0.1533,
      0.1717,
      0.061,
      0.2037,
      0.2264,
      0.0965,
      0.1583,
      0.1765,
      0.19,
      0.2764,
      0.1391,
      0.1803,
      0.0654,
      0.5024,
      0,
      0.3005,
      0.3044,
      0.1952,
      0.2992,
      0.229,
      0.2573,
      0.2841,
      0.2955,
      0.3095,
      0.301,
      0.2186,
      0.1529,
      0.4571,
      0.4289,
      0.2133,
      0.2984,
      0.1709,
      0.2751,
      0.4831,
      0.3121,
      0.3093,
      0.4191,
      0.3713,
      0.3489,
      0.2825,
      0,
      0.4403,
      0.2769,
      0.0741,
      0.4627,
      0.3048,
      0.2095,
      0.2308,
      0.4217,
      0.0161,
      0.2896,
      0.4028,
      0.3049,
      0.2389,
      0.2654,
      0.3425,
      0.2944,
      0.3176,
      0.5206,
      0.1745,
      0.181,
      0.3383,
      0.1831,
      0.316,
      0,
      0.1969,
      0.191,
      0.2496,
      0.1662,
      0.2361,
      0.2426,
      0.1135,
      0.4731,
      0.2085,
      0.2368,
      0.2622,
      0.3151,
      0.407,
      0.3426,
      0.2767,
      0.263,
      0.1753,
      0.3295,
      0.1881,
      0.3813,
      0.155,
      0.4829,
      0.1895,
      0.2658,
      0.4017,
      0.1606,
      0.3684,
      0.2401,
      0.2887,
      0.1924,
      0.0865,
      0.3669,
      0.3561,
      0.3221,
      0.2449,
      0.4132,
      0.2432,
      0.1863,
      0.2814,
      0.1087,
      0.0498,
      0.1478,
      0.1994,
      0.0832,
      0.0861,
      0.294,
      0.125,
      0.294,
      0.1171,
      0.2698,
      0.2381,
      0.3208,
      0.4712,
      0.2478,
      0.2922,
      0.2227,
      0.2885,
      0.2451,
      0.2006,
      0.3062,
      0.3004,
      0.2677,
      0.2903,
      0.3597,
      0.3363,
      0,
      0.4291,
      0,
      0,
      0.1799,
      0.3274,
      0.3751,
      0.2307,
      0.3419,
      0,
      0.2491,
      0.3679,
      0.2056,
      0.3986,
      0.0168,
      0.4759,
      0.1452,
      0.3249,
      0.3355,
      0.1668,
      0.3263,
      0.3965,
      0.2012,
      0.2924,
      0.1273,
      0.3182,
      0.345,
      0.4024,
      0.2001,
      0.4266,
      0.2599,
      0.2387,
      0.4157,
      0.1564,
      0.3257,
      0.2313,
      0.3212,
      0.0106,
      0.2177,
      0.314,
      0.2106,
      0.3252,
      0.2303,
      0.3972,
      0.2548,
      0.2763,
      0.4574,
      0.2432,
      0.2965,
      0.1841,
      0.3419,
      0.1711,
      0.1342,
      0.3214,
      0.399,
      0.3059,
      0.2411,
      0.313,
      0.297,
      0.2267,
      0.505,
      0.0731,
      0.2528,
      0.176,
      0.2688,
      0.3473,
      0,
      0.3224,
      0.1975,
      0.2482,
      0.2821,
      0.3249,
      0.2958,
      0.3101,
      0.463,
      0.2404,
      0.2171,
      0.2494,
      0.2724,
      0.268,
      0.2177,
      0.248,
      0.1696,
      0.2611,
      0.3212,
      0.2596,
      0.2943,
      0.2593,
      0.4925,
      0.3066,
      0.3076,
      0.3309,
      0.2392,
      0.2256,
      0.1451,
      0,
      0.3757,
      0.1798,
      0.3136,
      0.1949,
      0.2912,
      0.3399,
      0.4518,
      0.281,
      0.0592,
      0.3688,
      0.1983,
      0.2427,
      0.1893,
      0.1179,
      0.1882,
      0.1583,
      0.3914,
      0.3758,
      0.2543,
      0.2362,
      0.384,
      0.1726,
      0.2386,
      0.4883,
      0.227,
      0.0705,
      0.2353,
      0.1195,
      0.0989,
      0.1975,
      0.1188,
      0.0685,
      0.1933,
      0.1777,
      0.2796,
      0.2465,
      0.1715,
      0.4781,
      0.2637,
      0.1763,
      0.1219,
      0.142,
      0.1748,
      0.0886,
      0.147,
      0.1968,
      0.0554,
      0,
      0,
      0,
      0,
      0,
      0.2915,
      0.2911,
      0.1802,
      0.2671,
      0.1892,
      0.2314,
      0,
      0.0796,
      0.1648,
      0.0827,
      0.1861,
      0.176,
      0.2286,
      0.3389,
      0.1815,
      0.2722,
      0.0939,
      0.2076,
      0,
      0.1039,
      0.0714,
      0.2155,
      0.1222,
      0.1045,
      0.0696,
      0.1923,
      0.2084,
      0.1087,
      0.0805,
      0.1647,
      0.0719,
      0.1441,
      0.2027,
      0.2335,
      0.0277,
      0.4826,
      0.0384,
      0.2092,
      0.3985,
      0.273,
      0.3396,
      0.335,
      0.2869,
      0.4477,
      0.2843,
      0.2744,
      0.3712,
      0.2906,
      0.2187,
      0.4842,
      0.4279,
      0.3043,
      0.3783,
      0.248,
      0.3437,
      0.408,
      0.4048,
      0.3177,
      0.4126,
      0.4465,
      0.2971,
      0.3129,
      0,
      0.4224,
      0.2857,
      0,
      0.452,
      0.3744,
      0.1672,
      0.3134,
      0.3418,
      0.0271,
      0.2674,
      0.4379,
      0.2624,
      0.2899,
      0.2914,
      0.3569,
      0.2991,
      0.2838,
      0.5066,
      0.1298,
      0.1529,
      0.3851,
      0.1904,
      0.3849,
      0,
      0.2204,
      0.3124,
      0.288,
      0.1578,
      0.3368,
      0.1994,
      0.0928,
      0.4365,
      0.3148,
      0.3165,
      0.2982,
      0.291,
      0.2887,
      0.2626,
      0.271,
      0.2364,
      0.175,
      0.3873,
      0.1723,
      0.4475,
      0.2003,
      0.4701,
      0.1186,
      0.2196,
      0.3714,
      0.1599,
      0.4122,
      0.2061,
      0.2032,
      0.2094,
      0.0686,
      0.4502,
      0.4268,
      0.4077,
      0.3124,
      0.4161,
      0.2395,
      0.185,
      0.344,
      0.1225,
      0.123,
      0.1274,
      0.0679,
      0.1226,
      0.2181,
      0.3068,
      0.1521,
      0.2974,
      0.2286,
      0.3151,
      0.4273,
      0.317,
      0.4557,
      0.295,
      0.3861,
      0.3933,
      0.2325,
      0.2335,
      0.356,
      0.2531,
      0.3287,
      0.2451,
      0.3791,
      0.3482,
      0.4522,
      0,
      0.4357,
      0.089,
      0.0012,
      0.1659,
      0.349,
      0.4551,
      0.2837,
      0.3343,
      0,
      0.3675,
      0.4237,
      0.2409,
      0.4273,
      0.0294,
      0.4606,
      0.11,
      0.1866,
      0.3849,
      0.1825,
      0.4079,
      0.4055,
      0.2618,
      0.2487,
      0.104,
      0.3665,
      0.3509,
      0.4671,
      0.1788,
      0.4028,
      0.2618,
      0.2846,
      0.4927,
      0.1795,
      0.4191,
      0.2257,
      0.2916,
      0.0882,
      0.1816,
      0.3392,
      0.2314,
      0.3231,
      0.2201,
      0.4073,
      0.238,
      0.1875,
      0.4456,
      0.2101,
      0.3585,
      0.1325,
      0.3282,
      0.1947,
      0.1774,
      0.3984,
      0.416,
      0.3506,
      0.2157,
      0.3109,
      0.3294,
      0.2322,
      0.4539,
      0.1606,
      0.2521,
      0.1777,
      0.2212,
      0.4004,
      0,
      0.3379,
      0.2542,
      0.2549,
      0.2259,
      0.3402,
      0.4312,
      0.3268,
      0.4193,
      0.2754,
      0.3983,
      0.4043,
      0.26,
      0.2547,
      0.3858,
      0.2399,
      0.2009,
      0.23,
      0.3197,
      0.2756,
      0.3046,
      0.3794,
      0.4558,
      0.2576,
      0.3691,
      0.3212,
      0.2305,
      0.2774,
      0.3197,
      0,
      0.4048,
      0.1973,
      0.3886,
      0.1867,
      0.3208,
      0.3027,
      0.4828,
      0.3566,
      0.0641,
      0.4099,
      0.1407,
      0.2308,
      0.278,
      0.0808,
      0.2424,
      0.1652,
      0.4729,
      0.3314,
      0.2847,
      0.2259,
      0.4032,
      0.2377,
      0.254,
      0.4209,
      0.2138,
      0.1099,
      0.2394,
      0.1363,
      0,
      0.2135,
      0.1348,
      0.1193,
      0.2095,
      0.2332,
      0.2995,
      0.1537,
      0.1621,
      0.4276,
      0.2687,
      0.1885,
      0.1533,
      0.2057,
      0.1836,
      0.1208,
      0.098,
      0.1089,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3001,
      0.2612,
      0.164,
      0.2666,
      0.166,
      0.2348,
      0.0355,
      0.092,
      0.1394,
      0.064,
      0.1625,
      0.1578,
      0.2099,
      0.3094,
      0.2664,
      0.1748,
      0.057,
      0.2762,
      0.12,
      0.1083,
      0.0313,
      0.1474,
      0.0823,
      0.0652,
      0.1966,
      0.2605,
      0.1252,
      0.1292,
      0.1473,
      0.1119,
      0.1199,
      0.25,
      0.2531,
      0.1825,
      0.1397,
      0.4224,
      0.0975,
      0.1496,
      0.2946,
      0.301,
      0.3834,
      0.2684,
      0.2057,
      0.4231,
      0.2319,
      0.203,
      0.211,
      0.1691,
      0.1303,
      0.5412,
      0.4292,
      0.2452,
      0.401,
      0.291,
      0.3326,
      0.4821,
      0.4299,
      0.2958,
      0.3737,
      0.4199,
      0.3533,
      0.3303,
      0,
      0.3824,
      0.3007,
      0.0484,
      0.4273,
      0.1022,
      0.188,
      0.302,
      0.3217,
      0.0079,
      0.2001,
      0.4484,
      0.2666,
      0.2308,
      0.2697,
      0.3429,
      0.3703,
      0.2288,
      0.4783,
      0.137,
      0.2009,
      0.3512,
      0.162,
      0.3765,
      0,
      0.1814,
      0.2134,
      0.3026,
      0.1798,
      0.2744,
      0.2379,
      0.0995,
      0.3887,
      0.2811,
      0.2404,
      0.2763,
      0.325,
      0.3787,
      0.2312,
      0.2899,
      0.3102,
      0.111,
      0.3772,
      0.1225,
      0.4578,
      0.1648,
      0.467,
      0.2085,
      0.1318,
      0.3966,
      0.1836,
      0.3813,
      0.1829,
      0.2267,
      0.2271,
      0.0749,
      0.4418,
      0.3984,
      0.3931,
      0.2493,
      0.389,
      0.1558,
      0.1474,
      0.2782,
      0.114,
      0.138,
      0.0984,
      0.1316,
      0.2502,
      0.2181,
      0.2824,
      0.1124,
      0.2761,
      0.166,
      0.3268,
      0.335,
      0.3211,
      0.332,
      0.2389,
      0.2995,
      0.489,
      0.2571,
      0.2167,
      0.3422,
      0.234,
      0.2986,
      0.2646,
      0.2066,
      0.2671,
      0.4243,
      0.0187,
      0.3955,
      0.0842,
      0.0502,
      0.2049,
      0.2808,
      0.4299,
      0.2623,
      0.3499,
      0,
      0.196,
      0.4317,
      0.2191,
      0.4366,
      0,
      0.4466,
      0.0826,
      0.2261,
      0.2432,
      0.161,
      0.3795,
      0.2108,
      0.1946,
      0.1732,
      0.1718,
      0.3653,
      0.2652,
      0.4142,
      0.1228,
      0.395,
      0.2934,
      0.2288,
      0.4527,
      0.1499,
      0.395,
      0.2404,
      0.2907,
      0.1147,
      0.2248,
      0.2897,
      0.2334,
      0.3334,
      0.2555,
      0.42,
      0.2264,
      0.2185,
      0.4153,
      0.1684,
      0.3079,
      0.0907,
      0.2211,
      0.2031,
      0.1071,
      0.3711,
      0.3226,
      0.2614,
      0.1372,
      0.2902,
      0.3254,
      0.2273,
      0.3884,
      0.1345,
      0.1897,
      0.2107,
      0.2243,
      0.3929,
      0,
      0.3481,
      0.291,
      0.1764,
      0.1888,
      0.3785,
      0.3631,
      0.2975,
      0.4222,
      0.2772,
      0.2386,
      0.4849,
      0.2184,
      0.2093,
      0.342,
      0.265,
      0.1865,
      0.2828,
      0.2778,
      0.3851,
      0.2126,
      0.3501,
      0.4198,
      0.395,
      0.3395,
      0.3458,
      0.243,
      0.222,
      0.3113,
      0,
      0.4404,
      0.1526,
      0.3678,
      0.1908,
      0.3693,
      0.2562,
      0.4422,
      0.3403,
      0.1097,
      0.4447,
      0.2632,
      0.174,
      0.2658,
      0.1089,
      0.2199,
      0.1967,
      0.437,
      0.3308,
      0.2764,
      0.2355,
      0.3485,
      0.213,
      0.2814,
      0.4603,
      0.2118,
      0.1425,
      0.233,
      0.1721,
      0.0196,
      0.223,
      0.1345,
      0.1436,
      0.1923,
      0.1918,
      0.297,
      0.1454,
      0.137,
      0.4356,
      0.2043,
      0.1746,
      0.1231,
      0.169,
      0.2299,
      0.1157,
      0.1745,
      0.1771,
      0.0216,
      0,
      0,
      0,
      0,
      0,
      0.3176,
      0.2691,
      0.1167,
      0.2355,
      0.1994,
      0.2883,
      0.0012,
      0.2086,
      0.2456,
      0.159,
      0.1824,
      0.1876,
      0.2076,
      0.1901,
      0.1914,
      0.1961,
      0.1492,
      0.2336,
      0.0852,
      0.0933,
      0.0274,
      0.19,
      0.0759,
      0.0817,
      0.175,
      0.2057,
      0.1428,
      0.1042,
      0.0578,
      0.2198,
      0.1944,
      0.2482,
      0.1798,
      0.2045,
      0.2565,
      0.51,
      0.1014,
      0.2652,
      0.2801,
      0.2321,
      0.2944,
      0.2684,
      0.2451,
      0.2885,
      0.4445,
      0.1289,
      0.237,
      0.2052,
      0.1554,
      0.4849,
      0.4479,
      0.1655,
      0.3504,
      0.2031,
      0.2983,
      0.5315,
      0.3909,
      0.3763,
      0.4068,
      0.3616,
      0.3533,
      0.4356,
      0.027,
      0.4354,
      0.2645,
      0,
      0.4477,
      0.0386,
      0.1678,
      0.3526,
      0.3388,
      0.1128,
      0.2128,
      0.3729,
      0.2787,
      0.1509,
      0.2697,
      0.3319,
      0.3465,
      0.1784,
      0.4742,
      0.2136,
      0.262,
      0.2883,
      0.1041,
      0.3204,
      0,
      0.2361,
      0.2511,
      0.2475,
      0.1721,
      0.1835,
      0.2848,
      0.04,
      0.4294,
      0.1877,
      0.3162,
      0.2769,
      0.2608,
      0.3477,
      0.1798,
      0.289,
      0.22,
      0.1513,
      0.3077,
      0.1554,
      0.4101,
      0.0827,
      0.4717,
      0.0966,
      0.2048,
      0.368,
      0.204,
      0.3535,
      0.2387,
      0.2192,
      0.2272,
      0.0231,
      0.4061,
      0.3669,
      0.3704,
      0.2657,
      0.3367,
      0.1737,
      0.2116,
      0.2633,
      0.176,
      0.1579,
      0.0807,
      0.2066,
      0.1382,
      0.1989,
      0.2446,
      0.1396,
      0.2439,
      0.1817,
      0.3437,
      0.2197,
      0.2446,
      0.3929,
      0.2334,
      0.2442,
      0.2189,
      0.2335,
      0.3786,
      0.2719,
      0.2525,
      0.3117,
      0.248,
      0.3111,
      0.3301,
      0.397,
      0.0524,
      0.4553,
      0.0533,
      0.0944,
      0.2119,
      0.2224,
      0.3907,
      0.308,
      0.3719,
      0,
      0.1347,
      0.3503,
      0.2441,
      0.3382,
      0.0226,
      0.3956,
      0.0844,
      0.2926,
      0.2764,
      0.0982,
      0.3809,
      0.2073,
      0.1896,
      0.1453,
      0.3939,
      0.3022,
      0.2773,
      0.4172,
      0.3126,
      0.3793,
      0.3061,
      0.2262,
      0.3994,
      0.2405,
      0.359,
      0.2541,
      0.3115,
      0.0704,
      0.1673,
      0.3721,
      0.1645,
      0.3067,
      0.2258,
      0.44,
      0.3335,
      0.28,
      0.4261,
      0.171,
      0.2977,
      0.0807,
      0.2574,
      0.1728,
      0.1419,
      0.3763,
      0.3295,
      0.1479,
      0.1658,
      0.3269,
      0.2621,
      0.1652,
      0.5009,
      0.1357,
      0.3131,
      0.2653,
      0.2137,
      0.3309,
      0,
      0.3574,
      0.2937,
      0.1386,
      0.3087,
      0.242,
      0.2128,
      0.2095,
      0.3823,
      0.2359,
      0.2728,
      0.255,
      0.3323,
      0.3273,
      0.2758,
      0.2871,
      0.3345,
      0.2746,
      0.2541,
      0.2233,
      0.2717,
      0.2869,
      0.4408,
      0.199,
      0.2391,
      0.3294,
      0.2167,
      0.1634,
      0.0734,
      0,
      0.363,
      0,
      0.3181,
      0.1901,
      0.346,
      0.3372,
      0.4865,
      0.2259,
      0.0864,
      0.3973,
      0.2549,
      0.1818,
      0.2016,
      0.0733,
      0.2194,
      0.1778,
      0.4,
      0.3331,
      0.2067,
      0.284,
      0.3809,
      0.2419,
      0.2619,
      0.4587,
      0.2435,
      0.2203,
      0.243,
      0.1388,
      0.0746,
      0.1836,
      0.2236,
      0.0912,
      0.2856,
      0.149,
      0.2891,
      0.1072,
      0.1144,
      0.5299,
      0.2364,
      0.1039,
      0.1546,
      0.1821,
      0.2143,
      0.0617,
      0.1952,
      0.2359,
      0.0423,
      0,
      0,
      0,
      0,
      0,
      0.2483,
      0.178,
      0.1124,
      0.1865,
      0.1798,
      0.2787,
      0,
      0.21,
      0.171,
      0.1827,
      0.2234,
      0.1497,
      0.2287,
      0.2461,
      0.1918,
      0.2713,
      0.1771,
      0.2324,
      0.0082,
      0.0849,
      0.053,
      0.1699,
      0,
      0.0942,
      0.125,
      0.185,
      0.2164,
      0.2194,
      0.1867,
      0.2103,
      0.1786,
      0.2461,
      0.2169,
      0.2283,
      0.2966,
      0.4748,
      0.0372,
      0.2068,
      0.3083,
      0.1812,
      0.3158,
      0.3994,
      0.2945,
      0.3317,
      0.3028,
      0.3888,
      0.2843,
      0.3176,
      0.1323,
      0.5206,
      0.4166,
      0.1431,
      0.3688,
      0.1643,
      0.2449,
      0.5548,
      0.3451,
      0.3389,
      0.3918,
      0.4074,
      0.4283,
      0.471,
      0,
      0.4487,
      0.2408,
      0,
      0.4603,
      0,
      0.1776,
      0.4113,
      0.2925,
      0.156,
      0.2227,
      0.2469,
      0.2604,
      0.1909,
      0.3621,
      0.3626,
      0.3257,
      0.1969,
      0.5604,
      0.2657,
      0.1332,
      0.2602,
      0.1438,
      0.3384,
      0.0576,
      0.2298,
      0.2599,
      0.2425,
      0.1607,
      0.3037,
      0.2745,
      0.0972,
      0.4947,
      0.212,
      0.339,
      0.3016,
      0.3825,
      0.3607,
      0.0763,
      0.2368,
      0.2783,
      0.154,
      0.2528,
      0.2108,
      0.3761,
      0.1526,
      0.466,
      0.1271,
      0.1953,
      0.3451,
      0.1018,
      0.3079,
      0.208,
      0.2542,
      0.2945,
      0.0383,
      0.3523,
      0.3774,
      0.3351,
      0.2884,
      0.4007,
      0.2175,
      0.2344,
      0.2957,
      0.1048,
      0.1559,
      0.2025,
      0.1445,
      0.1895,
      0.2747,
      0.2837,
      0.1639,
      0.2137,
      0.1506,
      0.2816,
      0.2879,
      0.2475,
      0.41,
      0.4658,
      0.2295,
      0.3294,
      0.2304,
      0.347,
      0.2172,
      0.3074,
      0.223,
      0.2671,
      0.2971,
      0.3799,
      0.2779,
      0,
      0.4757,
      0.2294,
      0.0817,
      0.2321,
      0.2197,
      0.3373,
      0.3269,
      0.2957,
      0,
      0.114,
      0.2893,
      0.1914,
      0.4059,
      0.0991,
      0.4883,
      0.0859,
      0.4164,
      0.2868,
      0.2374,
      0.3431,
      0.1865,
      0.216,
      0.1397,
      0.379,
      0.2642,
      0.2734,
      0.2597,
      0.396,
      0.3928,
      0.4309,
      0.3177,
      0.3531,
      0.3867,
      0.3082,
      0.2776,
      0.2988,
      0.0179,
      0.2093,
      0.3236,
      0.2223,
      0.2503,
      0.271,
      0.4376,
      0.3476,
      0.2253,
      0.4107,
      0.1845,
      0.3142,
      0.0392,
      0.2682,
      0.1842,
      0.1367,
      0.3066,
      0.3075,
      0.2054,
      0.1938,
      0.3166,
      0.1943,
      0.2821,
      0.46,
      0.1159,
      0.296,
      0.2034,
      0.2283,
      0.2985,
      0,
      0.3612,
      0.2119,
      0.1445,
      0.3601,
      0.3864,
      0.2684,
      0.1532,
      0.4571,
      0.4407,
      0.2793,
      0.3092,
      0.3204,
      0.2779,
      0.2995,
      0.28,
      0.2032,
      0.2933,
      0.2642,
      0.2888,
      0.2759,
      0.3079,
      0.4836,
      0.2259,
      0.4282,
      0.2973,
      0.4057,
      0.2668,
      0.1423,
      0,
      0.2601,
      0.0317,
      0.2793,
      0.1636,
      0.2656,
      0.2957,
      0.4987,
      0.2526,
      0.0936,
      0.3719,
      0.2318,
      0.184,
      0.1925,
      0.1568,
      0.1829,
      0.1231,
      0.3098,
      0.3299,
      0.2259,
      0.243,
      0.369,
      0.192,
      0.2393,
      0.4324,
      0.268,
      0.1497,
      0.3369,
      0.1816,
      0.1331,
      0.1994,
      0.2269,
      0.1768,
      0.2693,
      0.1702,
      0.3152,
      0.1617,
      0.1538,
      0.4427,
      0.1688,
      0.2407,
      0.1668,
      0.2326,
      0.1832,
      0.0295,
      0.145,
      0.2419,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2862,
      0.1561,
      0.1325,
      0.268,
      0.154,
      0.2726,
      0,
      0.1452,
      0.2622,
      0.188,
      0.1929,
      0.1836,
      0.1819,
      0.2074,
      0.1624,
      0.2366,
      0.1391,
      0.1766,
      0.036,
      0.2107,
      0.0371,
      0.1617,
      0,
      0.081,
      0.2254,
      0.1298,
      0.1907,
      0.2234,
      0.1612,
      0.1624,
      0.1269,
      0.2548,
      0.2594,
      0.1332,
      0.2099,
      0.5392,
      0.1039,
      0.2516,
      0.2741,
      0.2765,
      0.166,
      0.339,
      0.24,
      0.281,
      0.1984,
      0.1869,
      0.2213,
      0.2085,
      0.1644,
      0.4673,
      0.4699,
      0.1787,
      0.3963,
      0.1477,
      0.3297,
      0.5567,
      0.3908,
      0.2802,
      0.4279,
      0.4205,
      0.3684,
      0.2572,
      0,
      0.3983,
      0.235,
      0,
      0.4871,
      0,
      0.2183,
      0.3509,
      0.2973,
      0,
      0.1948,
      0.4152,
      0.2884,
      0.1878,
      0.3468,
      0.3192,
      0.2671,
      0.2185,
      0.5327,
      0.1105,
      0.11,
      0.303,
      0.134,
      0.3237,
      0,
      0.2657,
      0.2862,
      0.3115,
      0.1511,
      0.2517,
      0.2465,
      0.0762,
      0.5306,
      0.1863,
      0.2331,
      0.1741,
      0.2975,
      0.266,
      0.2045,
      0.2892,
      0.2454,
      0.2049,
      0.365,
      0.1859,
      0.3967,
      0.1246,
      0.3425,
      0.1627,
      0.1311,
      0.299,
      0.0759,
      0.3884,
      0.2349,
      0.1948,
      0.1967,
      0.0729,
      0.4048,
      0.3532,
      0.3568,
      0.3024,
      0.3744,
      0.1702,
      0.2412,
      0.2976,
      0.1103,
      0.1959,
      0.1488,
      0.1129,
      0.1716,
      0.2294,
      0.2867,
      0.1422,
      0.2489,
      0.1769,
      0.2875,
      0.2672,
      0.2619,
      0.4656,
      0.3184,
      0.3019,
      0.2925,
      0.2298,
      0.3184,
      0.2821,
      0.234,
      0.2216,
      0.3115,
      0.2512,
      0.2779,
      0.41,
      0,
      0.5003,
      0.0792,
      0.0263,
      0.2178,
      0.2704,
      0.4123,
      0.2737,
      0.3814,
      0,
      0.1487,
      0.3026,
      0.1759,
      0.3915,
      0.1167,
      0.4742,
      0.0727,
      0.3045,
      0.2564,
      0.1583,
      0.3384,
      0.2623,
      0.2372,
      0.2113,
      0.1508,
      0.3214,
      0.2499,
      0.4339,
      0.2188,
      0.4781,
      0.216,
      0.2886,
      0.3549,
      0.2482,
      0.3923,
      0.245,
      0.3256,
      0,
      0.1798,
      0.2315,
      0.1604,
      0.327,
      0.3278,
      0.2804,
      0.2831,
      0.2142,
      0.4628,
      0.2941,
      0.3363,
      0.0381,
      0.2453,
      0.2464,
      0.0789,
      0.3316,
      0.3403,
      0.2544,
      0.1603,
      0.2654,
      0.2666,
      0.2005,
      0.5213,
      0.191,
      0.2644,
      0.2279,
      0.258,
      0.3539,
      0,
      0.3658,
      0.2931,
      0.1706,
      0.2169,
      0.2963,
      0.2822,
      0.2312,
      0.4921,
      0.2772,
      0.3322,
      0.3575,
      0.2184,
      0.2394,
      0.2268,
      0.2499,
      0.1715,
      0.3522,
      0.2891,
      0.2522,
      0.2639,
      0.2277,
      0.5284,
      0.1864,
      0.3329,
      0.3382,
      0.2767,
      0.2605,
      0.1293,
      0,
      0.3015,
      0.22,
      0.3156,
      0.1875,
      0.3654,
      0.2826,
      0.4298,
      0.3019,
      0.1458,
      0.4568,
      0.1875,
      0.2223,
      0.1546,
      0.2192,
      0.2286,
      0.1639,
      0.398,
      0.3337,
      0.263,
      0.1686,
      0.3649,
      0.2905,
      0.2304,
      0.4803,
      0.3048,
      0.0777,
      0.2653,
      0.1488,
      0.0678,
      0.2508,
      0.1693,
      0.1472,
      0.2588,
      0.168,
      0.252,
      0.2686,
      0.1414,
      0.5363,
      0.2039,
      0.2516,
      0.1876,
      0.1786,
      0.2883,
      0,
      0.0667,
      0.2321,
      0.0587,
      0,
      0,
      0,
      0,
      0,
      0.2776,
      0.1604,
      0.1789,
      0.1874,
      0.2505,
      0.2611,
      0,
      0.1568,
      0.175,
      0.1732,
      0.1473,
      0.2664,
      0.1623,
      0.2367,
      0.2161,
      0.3172,
      0.1815,
      0.3535,
      0.0578,
      0.1865,
      0.0741,
      0.1451,
      0.0822,
      0.0462,
      0.1854,
      0.1658,
      0.1884,
      0.2085,
      0.1672,
      0.0853,
      0.1769,
      0.223,
      0.2472,
      0.1375,
      0.2273,
      0.5032,
      0.0999,
      0.3303,
      0.2832,
      0.303,
      0.2897,
      0.3458,
      0.258,
      0.3521,
      0.2446,
      0.2024,
      0.238,
      0.2249,
      0.1919,
      0.4905,
      0.3854,
      0.1744,
      0.3933,
      0.1521,
      0.3622,
      0.5272,
      0.3677,
      0.2227,
      0.4261,
      0.2921,
      0.3141,
      0.2359,
      0.0055,
      0.3616,
      0.2079,
      0,
      0.4306,
      0,
      0.2811,
      0.2586,
      0.2882,
      0,
      0.1815,
      0.3272,
      0.2472,
      0.1604,
      0.32,
      0.321,
      0.2635,
      0.2405,
      0.4261,
      0.0659,
      0.126,
      0.3654,
      0.2365,
      0.2438,
      0,
      0.3059,
      0.3359,
      0.3056,
      0.1096,
      0.3028,
      0.2688,
      0.1422,
      0.4761,
      0.157,
      0.2934,
      0.3014,
      0.3788,
      0.3295,
      0.1742,
      0.2254,
      0.2101,
      0.1823,
      0.3156,
      0.2125,
      0.3677,
      0.1265,
      0.414,
      0.2339,
      0.2383,
      0.3765,
      0.0467,
      0.3178,
      0.2043,
      0.3042,
      0.2531,
      0.0545,
      0.3741,
      0.3452,
      0.289,
      0.3073,
      0.4011,
      0.2116,
      0.2959,
      0.3707,
      0.1485,
      0.1878,
      0.2288,
      0.1578,
      0.1732,
      0.2139,
      0.2351,
      0.173,
      0.2037,
      0.2038,
      0.3034,
      0.3137,
      0.2923,
      0.4375,
      0.2953,
      0.3225,
      0.3195,
      0.2446,
      0.3095,
      0.2457,
      0.1769,
      0.2153,
      0.2689,
      0.2304,
      0.2978,
      0.3582,
      0,
      0.4532,
      0.0547,
      0.0433,
      0.1404,
      0.2302,
      0.3311,
      0.3187,
      0.323,
      0,
      0.1158,
      0.3804,
      0.1612,
      0.3806,
      0.1036,
      0.4475,
      0.1848,
      0.2377,
      0.3196,
      0.138,
      0.3244,
      0.2191,
      0.2281,
      0.2174,
      0.1279,
      0.2708,
      0.2463,
      0.3349,
      0.1997,
      0.4119,
      0.1555,
      0.3205,
      0.3496,
      0.1781,
      0.3345,
      0.2698,
      0.3567,
      0,
      0.2567,
      0.3391,
      0.2278,
      0.2353,
      0.2309,
      0.4169,
      0.2419,
      0.2212,
      0.4348,
      0.3156,
      0.3451,
      0.0877,
      0.2633,
      0.2732,
      0.1235,
      0.3088,
      0.365,
      0.299,
      0.2289,
      0.2828,
      0.2115,
      0.3406,
      0.5101,
      0.101,
      0.2358,
      0.2885,
      0.2473,
      0.2891,
      0,
      0.3246,
      0.2717,
      0.2443,
      0.3187,
      0.3637,
      0.3478,
      0.1439,
      0.4424,
      0.2205,
      0.2754,
      0.2258,
      0.2358,
      0.2329,
      0.2405,
      0.2054,
      0.2093,
      0.3204,
      0.2446,
      0.2461,
      0.3049,
      0.2859,
      0.4735,
      0.3011,
      0.3456,
      0.3515,
      0.3186,
      0.2275,
      0.1789,
      0,
      0.2872,
      0.2004,
      0.2864,
      0.1598,
      0.3312,
      0.2696,
      0.4947,
      0.2624,
      0.1354,
      0.4365,
      0.1434,
      0.2262,
      0.2459,
      0.2133,
      0.2165,
      0.1538,
      0.307,
      0.2966,
      0.245,
      0.2674,
      0.4036,
      0.2917,
      0.3006,
      0.4686,
      0.325,
      0.2057,
      0.2802,
      0.1527,
      0.069,
      0.297,
      0.215,
      0.1348,
      0.1876,
      0.1708,
      0.2653,
      0.2635,
      0.1548,
      0.5234,
      0.2445,
      0.1565,
      0.209,
      0.1698,
      0.2339,
      0.0272,
      0.1143,
      0.2649,
      0.0509,
      0,
      0,
      0,
      0,
      0,
      0.2562,
      0.1779,
      0.1796,
      0.1768,
      0.1417,
      0.1577,
      0,
      0.1266,
      0.2386,
      0.2088,
      0.2006,
      0.2584,
      0.2365,
      0.1426,
      0.21,
      0.2834,
      0.2126,
      0.281,
      0,
      0.2355,
      0.0448,
      0.2283,
      0.1835,
      0.0207,
      0.2232,
      0.1597,
      0.1351,
      0.206,
      0.1909,
      0.1269,
      0.1734,
      0.3198,
      0.2625,
      0.1822,
      0.1734,
      0.5356,
      0.1295,
      0.3111,
      0.4576,
      0.2859,
      0.2503,
      0.3578,
      0.3316,
      0.464,
      0.3256,
      0.2431,
      0.2313,
      0.145,
      0.1795,
      0.5112,
      0.4435,
      0.2513,
      0.3991,
      0.1143,
      0.3721,
      0.5122,
      0.4359,
      0.3219,
      0.4164,
      0.3501,
      0.1421,
      0.2677,
      0.0778,
      0.3636,
      0.2585,
      0,
      0.4814,
      0.0947,
      0.1899,
      0.2754,
      0.3913,
      0.0181,
      0.2472,
      0.3786,
      0.2491,
      0.1825,
      0.2742,
      0.2787,
      0.3289,
      0.2653,
      0.5346,
      0.1343,
      0.1947,
      0.2723,
      0.1785,
      0.3232,
      0,
      0.267,
      0.2581,
      0.3074,
      0.1484,
      0.2208,
      0.2959,
      0.1506,
      0.4694,
      0.3,
      0.2726,
      0.3107,
      0.3139,
      0.2456,
      0.2296,
      0.2283,
      0.2468,
      0.1951,
      0.3261,
      0.1466,
      0.3246,
      0.209,
      0.4369,
      0.2005,
      0.3192,
      0.4199,
      0.0125,
      0.307,
      0.1548,
      0.2711,
      0.1765,
      0.0498,
      0.3877,
      0.4031,
      0.3141,
      0.3318,
      0.3329,
      0.1719,
      0.1819,
      0.3765,
      0.1203,
      0.234,
      0.2066,
      0.1612,
      0.2399,
      0.1824,
      0.3097,
      0.0378,
      0.2445,
      0.1672,
      0.2356,
      0.4535,
      0.2819,
      0.5175,
      0.2691,
      0.461,
      0.2505,
      0.2808,
      0.2818,
      0.4157,
      0.2322,
      0.2025,
      0.303,
      0.2776,
      0.3801,
      0.332,
      0.0038,
      0.5027,
      0.1029,
      0.0328,
      0.1609,
      0.2165,
      0.3614,
      0.3429,
      0.325,
      0,
      0.1997,
      0.3479,
      0.185,
      0.3432,
      0.0575,
      0.4502,
      0.1909,
      0.1473,
      0.3592,
      0.1013,
      0.3106,
      0.3169,
      0.237,
      0.2538,
      0.1429,
      0.277,
      0.1923,
      0.3583,
      0.2275,
      0.4202,
      0.1489,
      0.2753,
      0.4303,
      0.1648,
      0.3245,
      0.3126,
      0.3949,
      0.0707,
      0.2385,
      0.3142,
      0.1936,
      0.2714,
      0.2315,
      0.3637,
      0.2218,
      0.153,
      0.4767,
      0.3121,
      0.2604,
      0.0195,
      0.2752,
      0.1912,
      0.0721,
      0.3307,
      0.3541,
      0.2069,
      0.2616,
      0.2614,
      0.2746,
      0.3051,
      0.5616,
      0.221,
      0.3055,
      0.2912,
      0.1982,
      0.34,
      0,
      0.3118,
      0.285,
      0.2408,
      0.2964,
      0.3865,
      0.477,
      0.2466,
      0.4623,
      0.2861,
      0.4587,
      0.2374,
      0.2649,
      0.2678,
      0.3793,
      0.2452,
      0.2121,
      0.2825,
      0.3464,
      0.3245,
      0.3434,
      0.369,
      0.4974,
      0.4014,
      0.2565,
      0.3236,
      0.2868,
      0.2764,
      0.2599,
      0,
      0.3649,
      0.1168,
      0.3289,
      0.1942,
      0.2183,
      0.3218,
      0.4437,
      0.2615,
      0.0667,
      0.4702,
      0.236,
      0.2328,
      0.2213,
      0.1633,
      0.242,
      0.1657,
      0.3481,
      0.2682,
      0.2032,
      0.2495,
      0.3219,
      0.2582,
      0.265,
      0.4661,
      0.2653,
      0.1895,
      0.2958,
      0.2073,
      0.1411,
      0.233,
      0.256,
      0.1604,
      0.1783,
      0.1528,
      0.2637,
      0.3076,
      0.1893,
      0.5156,
      0.1576,
      0.2307,
      0.1766,
      0.2386,
      0.1949,
      0.0188,
      0.1984,
      0.1963,
      0.015,
      0,
      0,
      0,
      0,
      0,
      0.2877,
      0.1831,
      0.2066,
      0.2576,
      0.2071,
      0.1842,
      0,
      0.0347,
      0.227,
      0.1672,
      0.1893,
      0.2385,
      0.2396,
      0.2044,
      0.1715,
      0.2525,
      0.2087,
      0.284,
      0.0708,
      0.2669,
      0.0623,
      0.1944,
      0.1888,
      0.0406,
      0.2216,
      0.1932,
      0.1844,
      0.191,
      0.072,
      0.1861,
      0.2382,
      0.2542,
      0.2631,
      0.2188,
      0.1185,
      0.5434,
      0.0533,
      0.3453,
      0.4117,
      0.2971,
      0.4459,
      0.2152,
      0.3249,
      0.4526,
      0.4581,
      0.2628,
      0.3067,
      0.2726,
      0.1592,
      0.5252,
      0.4832,
      0.305,
      0.4044,
      0.2993,
      0.3956,
      0.4678,
      0.3553,
      0.3906,
      0.4417,
      0.44,
      0.2782,
      0.2547,
      0.0959,
      0.3276,
      0.2932,
      0.005,
      0.4341,
      0.1976,
      0.2009,
      0.3666,
      0.4542,
      0.0505,
      0.3083,
      0.4339,
      0.2971,
      0.296,
      0.3101,
      0.3283,
      0.3202,
      0.2768,
      0.5325,
      0.0553,
      0.3662,
      0.3915,
      0.253,
      0.3743,
      0,
      0.2343,
      0.3062,
      0.2948,
      0.1885,
      0.2754,
      0.2244,
      0.1051,
      0.5081,
      0.2236,
      0.1909,
      0.2854,
      0.258,
      0.2657,
      0.1828,
      0.2351,
      0.2714,
      0.1578,
      0.3718,
      0.1527,
      0.4639,
      0.1656,
      0.4919,
      0.23,
      0.3043,
      0.4604,
      0.0514,
      0.4251,
      0.2245,
      0.2376,
      0.3203,
      0.1243,
      0.4433,
      0.413,
      0.3513,
      0.2872,
      0.4045,
      0.263,
      0.3502,
      0.2744,
      0.1672,
      0.2012,
      0.1523,
      0.183,
      0.2407,
      0.1572,
      0.2793,
      0.1165,
      0.2616,
      0.2513,
      0.299,
      0.4292,
      0.3265,
      0.4463,
      0.3198,
      0.4205,
      0.4226,
      0.2108,
      0.4194,
      0.412,
      0.2448,
      0.2879,
      0.2514,
      0.4144,
      0.4219,
      0.4549,
      0,
      0.5099,
      0.0753,
      0,
      0.1899,
      0.2145,
      0.4529,
      0.3412,
      0.3267,
      0,
      0.3147,
      0.377,
      0.2286,
      0.4461,
      0.1132,
      0.4895,
      0.0568,
      0.3009,
      0.4651,
      0.1867,
      0.3952,
      0.4255,
      0.2583,
      0.2316,
      0.1114,
      0.3505,
      0.2951,
      0.4673,
      0.2153,
      0.4058,
      0.1818,
      0.2714,
      0.4083,
      0.2316,
      0.4169,
      0.3532,
      0.4085,
      0,
      0.2387,
      0.3228,
      0.1986,
      0.2931,
      0.295,
      0.4,
      0.2555,
      0.2959,
      0.4673,
      0.2992,
      0.3036,
      0,
      0.2459,
      0.2258,
      0.1083,
      0.4321,
      0.3807,
      0.2428,
      0.2713,
      0.2793,
      0.3318,
      0.2702,
      0.5461,
      0.1836,
      0.1805,
      0.321,
      0.294,
      0.4133,
      0.0214,
      0.3075,
      0.2875,
      0.2472,
      0.3209,
      0.3897,
      0.4626,
      0.3195,
      0.5112,
      0.3249,
      0.3866,
      0.426,
      0.3328,
      0.3544,
      0.3647,
      0.2412,
      0.3173,
      0.2916,
      0.3272,
      0.3312,
      0.2922,
      0.4446,
      0.5269,
      0.4847,
      0.3443,
      0.4325,
      0.2912,
      0.3833,
      0.2866,
      0,
      0.4834,
      0.1006,
      0.3616,
      0.1813,
      0.3192,
      0.1463,
      0.4572,
      0.3154,
      0.1482,
      0.4451,
      0.2572,
      0.2546,
      0.2279,
      0.1159,
      0.2878,
      0.1794,
      0.4456,
      0.2911,
      0.2528,
      0.219,
      0.3996,
      0.2778,
      0.2699,
      0.4937,
      0.234,
      0.2026,
      0.2895,
      0.1739,
      0.1958,
      0.286,
      0.2975,
      0.1138,
      0.1594,
      0.1556,
      0.319,
      0.1621,
      0.166,
      0.5507,
      0.2237,
      0.2398,
      0.1762,
      0.237,
      0.2494,
      0,
      0.1743,
      0.2494,
      0.0839,
      0,
      0,
      0,
      0,
      0,
      0.273,
      0.2077,
      0.1809,
      0.2125,
      0.1768,
      0.229,
      0,
      0.0601,
      0.1729,
      0.0989,
      0.1027,
      0.143,
      0.1709,
      0.1188,
      0.1405,
      0.2068,
      0.181,
      0.3097,
      0.0782,
      0.2083,
      0.1338,
      0.2276,
      0.131,
      0.0129,
      0.2333,
      0.2089,
      0.1626,
      0.1717,
      0.1044,
      0.1524,
      0.2023,
      0.0921,
      0.1867,
      0.2224,
      0.1731,
      0.5261,
      0.1384,
      0.2756,
      0.2638,
      0.3566,
      0.4227,
      0.427,
      0.2105,
      0.2878,
      0.2758,
      0.4207,
      0.2417,
      0.1969,
      0.174,
      0.5075,
      0.4447,
      0.2965,
      0.452,
      0.2808,
      0.3457,
      0.5055,
      0.4363,
      0.3456,
      0.3955,
      0.3771,
      0.2428,
      0.2832,
      0.0476,
      0.4205,
      0.2781,
      0,
      0.5003,
      0.0765,
      0.1934,
      0.3243,
      0.3034,
      0,
      0.2961,
      0.4188,
      0.3079,
      0.3331,
      0.3489,
      0.3494,
      0.3466,
      0.2496,
      0.5383,
      0.1623,
      0.2264,
      0.3067,
      0.244,
      0.3568,
      0,
      0.1341,
      0.329,
      0.2766,
      0.185,
      0.3218,
      0.3095,
      0.1249,
      0.4753,
      0.2765,
      0.2461,
      0.3006,
      0.3577,
      0.264,
      0.1658,
      0.1764,
      0.255,
      0.1672,
      0.3564,
      0.1412,
      0.4073,
      0.2074,
      0.526,
      0.1663,
      0.2073,
      0.4103,
      0.1026,
      0.3928,
      0.1779,
      0.2667,
      0.2998,
      0.0668,
      0.3878,
      0.3249,
      0.3871,
      0.3257,
      0.4053,
      0.1774,
      0.2501,
      0.3934,
      0.1734,
      0.1956,
      0.1538,
      0.2118,
      0.1971,
      0.1882,
      0.1655,
      0.1493,
      0.2373,
      0.189,
      0.3292,
      0.2398,
      0.3343,
      0.5176,
      0.4421,
      0.2715,
      0.4059,
      0.2986,
      0.3336,
      0.3157,
      0.1828,
      0.2336,
      0.2285,
      0.2603,
      0.366,
      0.4301,
      0.0409,
      0.4815,
      0.033,
      0,
      0.174,
      0.205,
      0.4173,
      0.3663,
      0.3434,
      0,
      0.2117,
      0.358,
      0.2452,
      0.4198,
      0.0349,
      0.4719,
      0.1474,
      0.215,
      0.2975,
      0.1381,
      0.372,
      0.1989,
      0.2826,
      0.1929,
      0.1253,
      0.3058,
      0.1558,
      0.416,
      0.1719,
      0.44,
      0.2276,
      0.3601,
      0.4871,
      0.2449,
      0.3876,
      0.3156,
      0.328,
      0.015,
      0.184,
      0.2549,
      0.2159,
      0.2416,
      0.3352,
      0.3818,
      0.3409,
      0.3181,
      0.4972,
      0.2287,
      0.3459,
      0.0369,
      0.2361,
      0.206,
      0.1317,
      0.4089,
      0.4157,
      0.2376,
      0.2643,
      0.2978,
      0.3199,
      0.2992,
      0.5838,
      0.0869,
      0.203,
      0.2627,
      0.2541,
      0.3982,
      0.029,
      0.2752,
      0.3141,
      0.2056,
      0.2976,
      0.327,
      0.2907,
      0.3606,
      0.4791,
      0.4409,
      0.252,
      0.3872,
      0.3384,
      0.2872,
      0.343,
      0.2465,
      0.2886,
      0.3228,
      0.2119,
      0.3911,
      0.2895,
      0.299,
      0.5094,
      0.3447,
      0.4711,
      0.3249,
      0.3667,
      0.2569,
      0.0672,
      0,
      0.4841,
      0.0964,
      0.3513,
      0.1592,
      0.3392,
      0.2761,
      0.5084,
      0.3195,
      0.1643,
      0.4365,
      0.2387,
      0.3039,
      0.1927,
      0.1563,
      0.2687,
      0.1742,
      0.4005,
      0.3075,
      0.266,
      0.2321,
      0.4127,
      0.2368,
      0.2466,
      0.531,
      0.2238,
      0.2984,
      0.2335,
      0.1904,
      0.1616,
      0.2338,
      0.2167,
      0.1757,
      0.2838,
      0.1904,
      0.2856,
      0.1058,
      0.0975,
      0.5545,
      0.2001,
      0.2534,
      0.2113,
      0.2621,
      0.2051,
      0.0103,
      0.2009,
      0.2946,
      0.0967,
      0,
      0,
      0,
      0,
      0,
      0.3462,
      0.1659,
      0.1976,
      0.2667,
      0.1868,
      0.2142,
      0,
      0.1007,
      0.1643,
      0.0759,
      0.2079,
      0.1687,
      0.226,
      0.1723,
      0.1814,
      0.3012,
      0.2037,
      0.3069,
      0.0556,
      0.2572,
      0.0864,
      0.1075,
      0.1854,
      0.0311,
      0.2078,
      0.1674,
      0.2314,
      0.2134,
      0.1651,
      0.1754,
      0.122,
      0.254,
      0.1996,
      0.21,
      0.2271,
      0.4467,
      0.1243,
      0.26,
      0.2871,
      0.2659,
      0.2714,
      0.3252,
      0.2665,
      0.342,
      0.3313,
      0.3641,
      0.1737,
      0.3449,
      0.1271,
      0.4674,
      0.4309,
      0.2574,
      0.3569,
      0.1537,
      0.3163,
      0.5045,
      0.49,
      0.3468,
      0.4052,
      0.3629,
      0.3201,
      0.2758,
      0.0762,
      0.4123,
      0.2535,
      0.0134,
      0.4738,
      0,
      0.2345,
      0.3198,
      0.3661,
      0,
      0.2749,
      0.4057,
      0.3111,
      0.1866,
      0.3126,
      0.263,
      0.2478,
      0.1947,
      0.568,
      0.133,
      0.2399,
      0.2544,
      0.2291,
      0.3251,
      0,
      0.0715,
      0.2741,
      0.2785,
      0.1995,
      0.2955,
      0.3071,
      0.1368,
      0.5256,
      0.2503,
      0.2076,
      0.2408,
      0.2807,
      0.3356,
      0.1395,
      0.2331,
      0.2268,
      0.2429,
      0.3459,
      0.0753,
      0.3939,
      0.1808,
      0.4829,
      0.2249,
      0.2443,
      0.4255,
      0.1412,
      0.3513,
      0.2605,
      0.2537,
      0.2764,
      0.1501,
      0.3852,
      0.3538,
      0.3617,
      0.2674,
      0.4366,
      0.2332,
      0.3064,
      0.3188,
      0.153,
      0.2086,
      0.1323,
      0.1146,
      0.2182,
      0.1376,
      0.2662,
      0.2248,
      0.2003,
      0.2951,
      0.3587,
      0.2902,
      0.2299,
      0.4645,
      0.4478,
      0.3462,
      0.184,
      0.2367,
      0.363,
      0.2959,
      0.2027,
      0.2467,
      0.2547,
      0.2783,
      0.4266,
      0.3566,
      0.0693,
      0.4642,
      0.0625,
      0.0855,
      0.1898,
      0.2432,
      0.3768,
      0.3303,
      0.3618,
      0,
      0.1834,
      0.3288,
      0.1842,
      0.3907,
      0.0395,
      0.4627,
      0.1562,
      0.224,
      0.3483,
      0.1767,
      0.3461,
      0.3186,
      0.2385,
      0.0026,
      0.2316,
      0.274,
      0.2553,
      0.3014,
      0.2095,
      0.467,
      0.1227,
      0.3358,
      0.4191,
      0.296,
      0.3809,
      0.3209,
      0.2988,
      0.0179,
      0.2225,
      0.2597,
      0.2282,
      0.2669,
      0.2427,
      0.4698,
      0.311,
      0.2694,
      0.4921,
      0.129,
      0.3248,
      0.0207,
      0.2601,
      0.2586,
      0.21,
      0.3295,
      0.3453,
      0.2582,
      0.1361,
      0.3258,
      0.2683,
      0.1845,
      0.5188,
      0.0799,
      0.2193,
      0.2591,
      0.248,
      0.3259,
      0.0407,
      0.2839,
      0.2109,
      0.2014,
      0.3289,
      0.3845,
      0.3131,
      0.2737,
      0.4023,
      0.3834,
      0.2651,
      0.1514,
      0.3493,
      0.3406,
      0.2922,
      0.1964,
      0.2022,
      0.3221,
      0.2733,
      0.2433,
      0.2211,
      0.3046,
      0.4633,
      0.2972,
      0.4257,
      0.3448,
      0.3783,
      0.2092,
      0.1173,
      0,
      0.3486,
      0.1152,
      0.299,
      0.0886,
      0.3782,
      0.3384,
      0.5404,
      0.3288,
      0.0731,
      0.4407,
      0.2896,
      0.2829,
      0.1952,
      0.1944,
      0.2374,
      0.1458,
      0.3849,
      0.3192,
      0.2682,
      0.2168,
      0.4294,
      0.2203,
      0.2446,
      0.5029,
      0.2457,
      0.211,
      0.3876,
      0.1865,
      0.0994,
      0.2324,
      0.194,
      0.1772,
      0.2513,
      0.2227,
      0.2812,
      0.2239,
      0.1558,
      0.4771,
      0.2354,
      0.2587,
      0.1704,
      0.2076,
      0.2747,
      0.0609,
      0.1906,
      0.2505,
      0.1077,
      0,
      0,
      0,
      0,
      0,
      0.363,
      0.2024,
      0.2236,
      0.1951,
      0.2165,
      0.1801,
      0,
      0.1095,
      0.2149,
      0.1637,
      0.2175,
      0.1493,
      0.1573,
      0.1182,
      0.1618,
      0.2394,
      0.2342,
      0.3032,
      0.0686,
      0.2737,
      0.0989,
      0.207,
      0.2449,
      0,
      0.1514,
      0.2241,
      0.2887,
      0.1735,
      0.1527,
      0.2248,
      0.123,
      0.3344,
      0.2775,
      0.1975,
      0.3747,
      0.4816,
      0.1281,
      0.2137,
      0.3052,
      0.245,
      0.2534,
      0.3014,
      0.1922,
      0.3591,
      0.3425,
      0.339,
      0.2056,
      0.2109,
      0.1628,
      0.4493,
      0.442,
      0.1267,
      0.361,
      0.161,
      0.31,
      0.5242,
      0.4368,
      0.4218,
      0.4303,
      0.3763,
      0.3397,
      0.4086,
      0,
      0.2907,
      0.2536,
      0.0316,
      0.4308,
      0,
      0.2463,
      0.3386,
      0.3614,
      0.0978,
      0.189,
      0.3974,
      0.2251,
      0.1659,
      0.3359,
      0.3045,
      0.2613,
      0.203,
      0.5005,
      0.1898,
      0.2424,
      0.2978,
      0.1896,
      0.3326,
      0,
      0.1515,
      0.2698,
      0.2776,
      0.2314,
      0.2688,
      0.3539,
      0.0878,
      0.5107,
      0.2517,
      0.1412,
      0.2283,
      0.1874,
      0.2899,
      0.0926,
      0.2793,
      0.2249,
      0.2028,
      0.3239,
      0.1584,
      0.3943,
      0.1946,
      0.4271,
      0.1588,
      0.2313,
      0.4094,
      0.1383,
      0.3093,
      0.2571,
      0.1834,
      0.2781,
      0.0754,
      0.3803,
      0.2999,
      0.3417,
      0.3396,
      0.3737,
      0.2973,
      0.2114,
      0.3177,
      0.1438,
      0.2895,
      0.2197,
      0.1946,
      0.1644,
      0.1831,
      0.308,
      0.1808,
      0.2185,
      0.3361,
      0.3426,
      0.3125,
      0.2632,
      0.42,
      0.3235,
      0.2862,
      0.1956,
      0.2524,
      0.3703,
      0.2076,
      0.1183,
      0.2442,
      0.2738,
      0.2776,
      0.4207,
      0.3932,
      0.0529,
      0.493,
      0.1831,
      0.0366,
      0.1985,
      0.1578,
      0.4058,
      0.2848,
      0.3208,
      0,
      0.1375,
      0.3921,
      0.2313,
      0.3931,
      0.0429,
      0.5153,
      0.1949,
      0.1762,
      0.2613,
      0.172,
      0.3638,
      0.2694,
      0.2397,
      0.1702,
      0.416,
      0.2781,
      0.2713,
      0.414,
      0.1855,
      0.4497,
      0.1882,
      0.3242,
      0.3679,
      0.2257,
      0.3384,
      0.3294,
      0.338,
      0.113,
      0.1703,
      0.2553,
      0.2636,
      0.2575,
      0.3164,
      0.3259,
      0.14,
      0.2654,
      0.4478,
      0.2014,
      0.3123,
      0.022,
      0.2023,
      0.2434,
      0.1367,
      0.3623,
      0.3296,
      0.2905,
      0.2362,
      0.306,
      0.2625,
      0.259,
      0.4614,
      0.0917,
      0.226,
      0.206,
      0.2676,
      0.3447,
      0.0411,
      0.3336,
      0.2568,
      0.2101,
      0.215,
      0.3582,
      0.3112,
      0.1725,
      0.4277,
      0.2741,
      0.3427,
      0.2168,
      0.3186,
      0.3097,
      0.2228,
      0.1817,
      0.2286,
      0.2921,
      0.2913,
      0.2691,
      0.3227,
      0.284,
      0.5026,
      0.2971,
      0.2862,
      0.3471,
      0.2515,
      0.2258,
      0.1311,
      0,
      0.3137,
      0.1422,
      0.2744,
      0.1819,
      0.2967,
      0.2554,
      0.4952,
      0.2936,
      0.1626,
      0.3737,
      0.2744,
      0.2637,
      0.188,
      0.1526,
      0.2482,
      0.1676,
      0.4021,
      0.3226,
      0.2472,
      0.2824,
      0.2945,
      0.3095,
      0.2395,
      0.4271,
      0.2062,
      0.2159,
      0.3053,
      0.0448,
      0.1144,
      0.2677,
      0.2414,
      0.0936,
      0.305,
      0.1879,
      0.2837,
      0.1713,
      0.2092,
      0.4323,
      0.2527,
      0.2289,
      0.1905,
      0.2293,
      0.2194,
      0.0364,
      0.2192,
      0.2735,
      0.0857,
      0,
      0,
      0,
      0,
      0,
      0.3214,
      0.1837,
      0.2174,
      0.2795,
      0.1922,
      0.221,
      0,
      0.1291,
      0.2244,
      0.1588,
      0.2236,
      0.2702,
      0.1532,
      0.1464,
      0.2451,
      0.2362,
      0.3047,
      0.3768,
      0.0324,
      0.2189,
      0.082,
      0.159,
      0.2152,
      0.084,
      0.1331,
      0.218,
      0.2217,
      0.2329,
      0.1701,
      0.2135,
      0.2115,
      0.3159,
      0.2434,
      0.2169,
      0.3771,
      0.5439,
      0.0888,
      0.2827,
      0.3377,
      0.2589,
      0.2593,
      0.389,
      0.2292,
      0.3344,
      0.2553,
      0.297,
      0.1533,
      0.22,
      0.1614,
      0.5079,
      0.5015,
      0.1809,
      0.3416,
      0.2023,
      0.3291,
      0.5324,
      0.4242,
      0.372,
      0.4318,
      0.3618,
      0.2946,
      0.5006,
      0.0076,
      0.3999,
      0.2999,
      0.0436,
      0.4873,
      0,
      0.2022,
      0.3902,
      0.2897,
      0.2157,
      0.2061,
      0.4514,
      0.3154,
      0.1903,
      0.3593,
      0.3418,
      0.2982,
      0.2672,
      0.53,
      0.2117,
      0.2676,
      0.2838,
      0.2418,
      0.4747,
      0,
      0.1944,
      0.2252,
      0.3055,
      0.153,
      0.3267,
      0.3027,
      0.0719,
      0.5468,
      0.1623,
      0.1644,
      0.2593,
      0.1425,
      0.2848,
      0.1528,
      0.2349,
      0.1361,
      0.1642,
      0.3029,
      0.1905,
      0.4196,
      0.1787,
      0.4745,
      0.2574,
      0.2275,
      0.4145,
      0.0706,
      0.3675,
      0.2219,
      0.2613,
      0.2523,
      0.0973,
      0.4037,
      0.4039,
      0.3702,
      0.3789,
      0.4271,
      0.2295,
      0.2925,
      0.3168,
      0.1527,
      0.2482,
      0.1874,
      0.1873,
      0.3236,
      0.2259,
      0.235,
      0.1931,
      0.2352,
      0.282,
      0.371,
      0.319,
      0.2529,
      0.48,
      0.3102,
      0.3229,
      0.2762,
      0.2277,
      0.2876,
      0.3227,
      0.2125,
      0.1512,
      0.2788,
      0.2067,
      0.376,
      0.4075,
      0.0583,
      0.5153,
      0.1822,
      0.02,
      0.274,
      0.1692,
      0.4156,
      0.2854,
      0.3349,
      0,
      0.2007,
      0.3741,
      0.244,
      0.4314,
      0.0272,
      0.52,
      0.2479,
      0.228,
      0.1679,
      0.1633,
      0.3897,
      0.3029,
      0.2702,
      0.1195,
      0.4821,
      0.2819,
      0.2466,
      0.4302,
      0.2626,
      0.4478,
      0.2381,
      0.2736,
      0.4158,
      0.4279,
      0.3803,
      0.2975,
      0.2951,
      0.0457,
      0.1879,
      0.2285,
      0.255,
      0.2401,
      0.2534,
      0.3695,
      0.2286,
      0.2655,
      0.4964,
      0.21,
      0.272,
      0.0762,
      0.2362,
      0.2815,
      0.0032,
      0.3018,
      0.3254,
      0.244,
      0.23,
      0.3213,
      0.2441,
      0.2086,
      0.5719,
      0.0677,
      0.2774,
      0.2666,
      0.2553,
      0.3387,
      0.0248,
      0.3233,
      0.3198,
      0.2612,
      0.2879,
      0.3338,
      0.3954,
      0.2329,
      0.4732,
      0.3208,
      0.309,
      0.2317,
      0.2868,
      0.2499,
      0.245,
      0.1844,
      0.2417,
      0.2937,
      0.2093,
      0.2653,
      0.2161,
      0.3491,
      0.5361,
      0.2846,
      0.3066,
      0.3031,
      0.1297,
      0.24,
      0.1835,
      0,
      0.2935,
      0.1859,
      0.304,
      0.1873,
      0.2709,
      0.2543,
      0.5108,
      0.3093,
      0.0689,
      0.4118,
      0.2509,
      0.2115,
      0.2288,
      0.2482,
      0.2444,
      0.2015,
      0.4112,
      0.2939,
      0.2001,
      0.2921,
      0.3382,
      0.2892,
      0.2709,
      0.4582,
      0.2246,
      0.1702,
      0.2942,
      0.1334,
      0.1267,
      0.2633,
      0.2617,
      0.1437,
      0.2008,
      0.1797,
      0.27,
      0.3224,
      0.2094,
      0.5583,
      0.2763,
      0.329,
      0.1543,
      0.24,
      0.1994,
      0,
      0.2084,
      0.2694,
      0.1318,
      0,
      0,
      0,
      0,
      0,
      0.3016,
      0.1494,
      0.1003,
      0.1604,
      0.268,
      0.2414,
      0,
      0.0934,
      0.2112,
      0.1798,
      0.2257,
      0.2413,
      0.1526,
      0.1988,
      0.2918,
      0.2209,
      0.2466,
      0.2967,
      0.0431,
      0.2249,
      0.1136,
      0.1565,
      0.1152,
      0.1118,
      0.1956,
      0.1992,
      0.2119,
      0.2202,
      0.2069,
      0.1371,
      0.193,
      0.3134,
      0.2989,
      0.1984,
      0.2827,
      0.4191,
      0.143,
      0.2391,
      0.4456,
      0.2279,
      0.3273,
      0.3396,
      0.2313,
      0.4186,
      0.455,
      0.2622,
      0.2175,
      0.146,
      0.1063,
      0.4921,
      0.4898,
      0.2737,
      0.412,
      0.1938,
      0.2742,
      0.5288,
      0.4232,
      0.3575,
      0.3407,
      0.3787,
      0.233,
      0.3204,
      0,
      0.4516,
      0.2672,
      0.0083,
      0.4443,
      0.0605,
      0.201,
      0.4919,
      0.2708,
      0,
      0.3004,
      0.4354,
      0.2302,
      0.2069,
      0.3375,
      0.426,
      0.2734,
      0.2781,
      0.5421,
      0.1984,
      0.2325,
      0.3126,
      0.282,
      0.3183,
      0.1044,
      0.1411,
      0.2214,
      0.3382,
      0.2171,
      0.272,
      0.2948,
      0.1069,
      0.4455,
      0.2678,
      0.1823,
      0.2988,
      0.2124,
      0.176,
      0.2185,
      0.2182,
      0.2068,
      0.1977,
      0.3388,
      0.1114,
      0.407,
      0.1703,
      0.475,
      0.2046,
      0.3064,
      0.3557,
      0.1483,
      0.3986,
      0.169,
      0.2404,
      0.2859,
      0,
      0.4468,
      0.4462,
      0.3542,
      0.2749,
      0.3566,
      0.2704,
      0.2678,
      0.353,
      0.2648,
      0.1365,
      0.2025,
      0.2357,
      0.2903,
      0.2806,
      0.2273,
      0.2375,
      0.3253,
      0.2397,
      0.3706,
      0.4332,
      0.2836,
      0.3976,
      0.2774,
      0.4772,
      0.2781,
      0.2976,
      0.4419,
      0.4062,
      0.1861,
      0.1616,
      0.2449,
      0.1659,
      0.3799,
      0.418,
      0.0987,
      0.4615,
      0.0606,
      0.0765,
      0.3031,
      0.2007,
      0.4355,
      0.2637,
      0.3157,
      0,
      0.1662,
      0.3823,
      0.244,
      0.4129,
      0.0351,
      0.4578,
      0.2772,
      0.1531,
      0.3,
      0.2017,
      0.3513,
      0.2526,
      0.2036,
      0.1611,
      0.1718,
      0.3186,
      0.1952,
      0.4442,
      0.2042,
      0.4352,
      0.1998,
      0.3151,
      0.3913,
      0.2551,
      0.3543,
      0.3031,
      0.2623,
      0.1773,
      0.2299,
      0.1782,
      0.2821,
      0.2407,
      0.2093,
      0.4486,
      0.2546,
      0.2645,
      0.3974,
      0.2627,
      0.2861,
      0.0171,
      0.2286,
      0.286,
      0.0458,
      0.4163,
      0.3486,
      0.2664,
      0.2609,
      0.2604,
      0.2611,
      0.1581,
      0.4882,
      0.1645,
      0.2365,
      0.2494,
      0.2868,
      0.349,
      0.0401,
      0.2809,
      0.2952,
      0.2359,
      0.301,
      0.2772,
      0.4414,
      0.1826,
      0.4209,
      0.3124,
      0.4731,
      0.2751,
      0.3958,
      0.3822,
      0.407,
      0.2239,
      0.3302,
      0.2857,
      0.2761,
      0.2879,
      0.1805,
      0.4076,
      0.4811,
      0.381,
      0.2534,
      0.4235,
      0.2964,
      0.2533,
      0.29,
      0,
      0.2829,
      0.1907,
      0.3227,
      0.2077,
      0.3231,
      0.2432,
      0.4973,
      0.3502,
      0.0526,
      0.3901,
      0.2704,
      0.2237,
      0.2834,
      0.2171,
      0.308,
      0.2187,
      0.4039,
      0.3268,
      0.2025,
      0.2962,
      0.4165,
      0.3312,
      0.2212,
      0.4292,
      0.2484,
      0.1492,
      0.2747,
      0.2112,
      0.1103,
      0.2157,
      0.2808,
      0.0776,
      0.2541,
      0.2333,
      0.3051,
      0.2613,
      0.2543,
      0.3982,
      0.2533,
      0.3309,
      0.1439,
      0.2211,
      0.3253,
      0.0258,
      0.2482,
      0.2228,
      0.0845,
      0,
      0,
      0,
      0,
      0,
      0.3708,
      0.1094,
      0.0872,
      0.2448,
      0.2712,
      0.2499,
      0,
      0.0025,
      0.2568,
      0.1598,
      0.0955,
      0.2062,
      0.0743,
      0.1454,
      0.2087,
      0.1814,
      0.1688,
      0.2808,
      0.039,
      0.2625,
      0.1337,
      0.2609,
      0.1455,
      0.0576,
      0.2382,
      0.2291,
      0.2939,
      0.109,
      0.1937,
      0.1201,
      0.2255,
      0.2694,
      0.2797,
      0.2719,
      0.2542,
      0.5061,
      0.0915,
      0.3179,
      0.444,
      0.2514,
      0.2881,
      0.3177,
      0.3061,
      0.4583,
      0.3091,
      0.3073,
      0.2522,
      0.1623,
      0.1068,
      0.5477,
      0.4138,
      0.2944,
      0.4236,
      0.1612,
      0.279,
      0.4252,
      0.459,
      0.3821,
      0.4169,
      0.4006,
      0.2289,
      0.3259,
      0.0062,
      0.425,
      0.2529,
      0,
      0.4131,
      0.0773,
      0.1659,
      0.4343,
      0.3425,
      0,
      0.2982,
      0.3978,
      0.347,
      0.1639,
      0.3288,
      0.3219,
      0.2617,
      0.3184,
      0.4397,
      0.0956,
      0.282,
      0.2513,
      0.3086,
      0.3458,
      0,
      0.1646,
      0.2662,
      0.3445,
      0.1873,
      0.2107,
      0.2558,
      0.1309,
      0.5016,
      0.2783,
      0.2122,
      0.255,
      0.2188,
      0.1893,
      0.1842,
      0.2611,
      0.1761,
      0.1956,
      0.3262,
      0.0673,
      0.398,
      0.1789,
      0.4947,
      0.2575,
      0.276,
      0.3157,
      0.1077,
      0.3902,
      0.2371,
      0.262,
      0.2925,
      0.0609,
      0.4511,
      0.4262,
      0.3157,
      0.2002,
      0.4025,
      0.224,
      0.2433,
      0.3109,
      0.1856,
      0.2425,
      0.2507,
      0.219,
      0.2478,
      0.2221,
      0.1926,
      0.2648,
      0.3102,
      0.2586,
      0.2572,
      0.4663,
      0.2736,
      0.4289,
      0.2787,
      0.468,
      0.2556,
      0.2572,
      0.2825,
      0.4529,
      0.1527,
      0.2353,
      0.2096,
      0.2291,
      0.3857,
      0.4081,
      0.0539,
      0.498,
      0,
      0.0592,
      0.2862,
      0.2814,
      0.4246,
      0.1421,
      0.3068,
      0,
      0.1811,
      0.3488,
      0.2581,
      0.407,
      0.0411,
      0.4884,
      0.2697,
      0.1824,
      0.273,
      0.0694,
      0.3375,
      0.2073,
      0.1921,
      0.1222,
      0.1842,
      0.3268,
      0.1342,
      0.3979,
      0.1297,
      0.5063,
      0.1635,
      0.3375,
      0.3436,
      0.236,
      0.3818,
      0.2706,
      0.3028,
      0.1223,
      0.197,
      0.2463,
      0.2525,
      0.2497,
      0.2051,
      0.371,
      0.2806,
      0.3753,
      0.4581,
      0.2795,
      0.2794,
      0,
      0.2816,
      0.3276,
      0.0789,
      0.3678,
      0.3954,
      0.284,
      0.2412,
      0.3117,
      0.2861,
      0.1422,
      0.5429,
      0.1082,
      0.2785,
      0.2502,
      0.3012,
      0.3873,
      0,
      0.311,
      0.2412,
      0.2339,
      0.3272,
      0.4392,
      0.4979,
      0.2485,
      0.4835,
      0.3223,
      0.4452,
      0.2528,
      0.2981,
      0.3391,
      0.427,
      0.2033,
      0.1919,
      0.3672,
      0.2127,
      0.3096,
      0.2898,
      0.4968,
      0.5045,
      0.5064,
      0.3129,
      0.3202,
      0.3303,
      0.2629,
      0.3141,
      0,
      0.302,
      0.1141,
      0.3381,
      0.2165,
      0.3158,
      0.2379,
      0.4337,
      0.248,
      0.1605,
      0.4391,
      0.2529,
      0.2074,
      0.2709,
      0.2076,
      0.2365,
      0.1765,
      0.4061,
      0.2635,
      0.2333,
      0.2701,
      0.4078,
      0.311,
      0.2094,
      0.4907,
      0.2492,
      0.2685,
      0.2853,
      0.1562,
      0.1449,
      0.2494,
      0.2325,
      0.0655,
      0.2244,
      0.2239,
      0.2695,
      0.3513,
      0.1937,
      0.5381,
      0.2974,
      0.2701,
      0.2065,
      0.2331,
      0.2269,
      0.0083,
      0.2278,
      0.2993,
      0.0429,
      0,
      0,
      0,
      0,
      0,
      0.3413,
      0.1951,
      0.2089,
      0.2455,
      0.2509,
      0.2233,
      0.0087,
      0.0096,
      0.2028,
      0.2372,
      0.2353,
      0.2913,
      0.1684,
      0.2355,
      0.3108,
      0.09,
      0.1831,
      0.3474,
      0.062,
      0.1914,
      0.1465,
      0.2423,
      0.19,
      0.068,
      0.2226,
      0.2552,
      0.2446,
      0.211,
      0.1626,
      0.2,
      0.2413,
      0.2286,
      0.2679,
      0.2437,
      0.1437,
      0.4799,
      0.1265,
      0.295,
      0.3493,
      0.3047,
      0.5189,
      0.3977,
      0.2877,
      0.2674,
      0.3293,
      0.4474,
      0.4101,
      0.2313,
      0.1095,
      0.5002,
      0.4414,
      0.2395,
      0.4336,
      0.2207,
      0.3285,
      0.5252,
      0.4526,
      0.3646,
      0.4306,
      0.4264,
      0.2297,
      0.2717,
      0.0717,
      0.3978,
      0.2483,
      0,
      0.4203,
      0.2231,
      0.1855,
      0.39,
      0.4393,
      0.0776,
      0.2418,
      0.4582,
      0.267,
      0.3666,
      0.3967,
      0.3139,
      0.3194,
      0.3053,
      0.5315,
      0.0324,
      0.2553,
      0.3391,
      0.268,
      0.3391,
      0,
      0.1312,
      0.2905,
      0.196,
      0.2004,
      0.2761,
      0.2965,
      0.2036,
      0.4755,
      0.2767,
      0.2315,
      0.2875,
      0.3023,
      0.2654,
      0.2187,
      0.2787,
      0.1803,
      0.1418,
      0.3424,
      0.1211,
      0.4749,
      0.1655,
      0.3889,
      0.2019,
      0.3184,
      0.4128,
      0.1685,
      0.3837,
      0.0946,
      0.2542,
      0.2878,
      0.1061,
      0.4382,
      0.3609,
      0.4051,
      0.2377,
      0.3589,
      0.3454,
      0.3202,
      0.3758,
      0.2246,
      0.1149,
      0.1933,
      0.2255,
      0.2925,
      0.2176,
      0.2681,
      0.2068,
      0.2983,
      0.1991,
      0.2503,
      0.2154,
      0.3949,
      0.4624,
      0.497,
      0.3248,
      0.4779,
      0.284,
      0.2508,
      0.3005,
      0.1636,
      0.3386,
      0.2536,
      0.3664,
      0.4761,
      0.4473,
      0.0871,
      0.465,
      0.1053,
      0.0549,
      0.1956,
      0.26,
      0.4633,
      0.2338,
      0.3718,
      0,
      0.3269,
      0.309,
      0.2229,
      0.4482,
      0.0469,
      0.4655,
      0.1992,
      0.1557,
      0.3916,
      0.142,
      0.4184,
      0.5021,
      0.2305,
      0.2672,
      0.189,
      0.3081,
      0.3283,
      0.4537,
      0.0736,
      0.4334,
      0.2141,
      0.3072,
      0.3363,
      0.1362,
      0.436,
      0.33,
      0.3688,
      0.1161,
      0.1928,
      0.1841,
      0.204,
      0.2114,
      0.2676,
      0.2903,
      0.2293,
      0.2509,
      0.4773,
      0.2017,
      0.3043,
      0.1019,
      0.2519,
      0.29,
      0.0519,
      0.4221,
      0.3281,
      0.2687,
      0.2797,
      0.2328,
      0.2604,
      0.0406,
      0.4993,
      0.0357,
      0.2458,
      0.2149,
      0.3219,
      0.3848,
      0.0077,
      0.282,
      0.2508,
      0.1493,
      0.3633,
      0.33,
      0.3112,
      0.3896,
      0.4585,
      0.4776,
      0.2668,
      0.4678,
      0.3416,
      0.2655,
      0.3019,
      0.2837,
      0.3924,
      0.2609,
      0.4008,
      0.4088,
      0.4141,
      0.268,
      0.4816,
      0.3535,
      0.4817,
      0.379,
      0.4472,
      0.4131,
      0.3636,
      0,
      0.5046,
      0.0915,
      0.3546,
      0.1217,
      0.363,
      0.2595,
      0.4768,
      0.1354,
      0.1616,
      0.4843,
      0.138,
      0.2725,
      0.276,
      0.1763,
      0.2759,
      0.1422,
      0.4571,
      0.3012,
      0.1867,
      0.254,
      0.2522,
      0.2076,
      0.1829,
      0.5252,
      0.254,
      0.2696,
      0.2924,
      0.1142,
      0.1359,
      0.2394,
      0.1991,
      0.0495,
      0.24,
      0.229,
      0.1723,
      0.2126,
      0.1363,
      0.5104,
      0.2362,
      0.2811,
      0.1333,
      0.274,
      0.2883,
      0.0167,
      0.1577,
      0.2315,
      0.12,
      0,
      0,
      0,
      0,
      0,
      0.37,
      0.1269,
      0.1443,
      0.2717,
      0.2846,
      0.1786,
      0.0542,
      0,
      0.1602,
      0.2096,
      0.2064,
      0.2274,
      0.1785,
      0.092,
      0.2483,
      0.088,
      0.1681,
      0.3504,
      0.082,
      0.213,
      0.138,
      0.2197,
      0.1771,
      0.1319,
      0.1882,
      0.2443,
      0.3562,
      0.1971,
      0.1057,
      0.2208,
      0.2034,
      0.2729,
      0.2405,
      0.193,
      0.1292,
      0.497,
      0.118,
      0.3495,
      0.3283,
      0.3912,
      0.3315,
      0.2566,
      0.2685,
      0.2858,
      0.3163,
      0.2751,
      0.2426,
      0.2108,
      0.1297,
      0.5662,
      0.4605,
      0.3192,
      0.2958,
      0.1725,
      0.3469,
      0.4617,
      0.446,
      0.3464,
      0.3764,
      0.3938,
      0.2313,
      0.2858,
      0.0223,
      0.4183,
      0.2342,
      0.0159,
      0.4708,
      0.0987,
      0.1277,
      0.376,
      0.312,
      0,
      0.1766,
      0.4358,
      0.3797,
      0.3658,
      0.2695,
      0.2948,
      0.2696,
      0.2866,
      0.535,
      0.1815,
      0.2557,
      0.2348,
      0.2666,
      0.3018,
      0,
      0.1352,
      0.1673,
      0.2092,
      0.2174,
      0.3425,
      0.2971,
      0.2261,
      0.5041,
      0.2665,
      0.1248,
      0.2789,
      0.2354,
      0.235,
      0.2072,
      0.2838,
      0.1122,
      0.1934,
      0.3272,
      0.1782,
      0.392,
      0.196,
      0.5016,
      0.2788,
      0.3051,
      0.4624,
      0.1211,
      0.3186,
      0.1188,
      0.2398,
      0.3341,
      0.0985,
      0.4334,
      0.3987,
      0.3839,
      0.2915,
      0.3969,
      0.2394,
      0.2632,
      0.3215,
      0.2418,
      0.234,
      0.2412,
      0.1876,
      0.2592,
      0.2976,
      0.2415,
      0.2971,
      0.2592,
      0.1934,
      0.3209,
      0.25,
      0.3922,
      0.4458,
      0.1996,
      0.3296,
      0.3554,
      0.3177,
      0.301,
      0.3201,
      0.1546,
      0.2628,
      0.2383,
      0.2219,
      0.3243,
      0.3944,
      0.0871,
      0.4482,
      0.0512,
      0.0665,
      0.1373,
      0.2437,
      0.4121,
      0.2555,
      0.3014,
      0,
      0.2322,
      0.3426,
      0.3037,
      0.3905,
      0.0857,
      0.5368,
      0.1843,
      0.2125,
      0.262,
      0.1445,
      0.3953,
      0.2905,
      0.1835,
      0.1677,
      0.1153,
      0.3014,
      0.2125,
      0.423,
      0.1737,
      0.5256,
      0.2785,
      0.2257,
      0.434,
      0.2342,
      0.387,
      0.2867,
      0.2719,
      0.1153,
      0.1834,
      0.3074,
      0.1231,
      0.2787,
      0.3,
      0.3592,
      0.2291,
      0.193,
      0.4835,
      0.2109,
      0.276,
      0.0528,
      0.2642,
      0.2344,
      0.0005,
      0.3857,
      0.3174,
      0.2325,
      0.2691,
      0.3142,
      0.2528,
      0.1497,
      0.5436,
      0.0661,
      0.1629,
      0.2099,
      0.2877,
      0.3712,
      0.0048,
      0.3049,
      0.3137,
      0.1486,
      0.3228,
      0.3711,
      0.2304,
      0.3468,
      0.5211,
      0.2777,
      0.281,
      0.3095,
      0.233,
      0.318,
      0.3152,
      0.2289,
      0.2332,
      0.2743,
      0.2562,
      0.369,
      0.3012,
      0.2675,
      0.5165,
      0.3382,
      0.367,
      0.3418,
      0.294,
      0.2915,
      0.1969,
      0,
      0.3707,
      0.1073,
      0.3321,
      0.2253,
      0.3327,
      0.275,
      0.5045,
      0.2975,
      0.1551,
      0.4174,
      0.1823,
      0.1689,
      0.2831,
      0.1475,
      0.2951,
      0.2175,
      0.4221,
      0.2936,
      0.1945,
      0.2036,
      0.4412,
      0.3556,
      0.2269,
      0.4853,
      0.2435,
      0.2583,
      0.3135,
      0.1711,
      0.1205,
      0.2579,
      0.2489,
      0.0708,
      0.2505,
      0.22,
      0.2462,
      0.1776,
      0.1439,
      0.5392,
      0.2387,
      0.23,
      0.1655,
      0.2415,
      0.253,
      0.0165,
      0.1472,
      0.2094,
      0.0574,
      0,
      0,
      0,
      0,
      0,
      0.2973,
      0.1723,
      0.1543,
      0.178,
      0.2811,
      0.1955,
      0.0625,
      0,
      0.0893,
      0.2242,
      0.2187,
      0.16,
      0.091,
      0.0833,
      0.1938,
      0.1019,
      0.2133,
      0.3862,
      0,
      0.2127,
      0.1287,
      0.2364,
      0.2372,
      0.0593,
      0.2549,
      0.2143,
      0.3218,
      0.1797,
      0.2123,
      0.2534,
      0.1809,
      0.2479,
      0.2244,
      0.1285,
      0.1358,
      0.5293,
      0.0703,
      0.2374,
      0.2951,
      0.2347,
      0.282,
      0.3174,
      0.2693,
      0.3447,
      0.3,
      0.3524,
      0.228,
      0.166,
      0.1565,
      0.5192,
      0.431,
      0.2864,
      0.3783,
      0.0695,
      0.3622,
      0.4956,
      0.4595,
      0.352,
      0.3812,
      0.3234,
      0.276,
      0.3156,
      0.0491,
      0.4285,
      0.1856,
      0,
      0.4618,
      0,
      0.2042,
      0.3386,
      0.2328,
      0,
      0.1665,
      0.3582,
      0.3505,
      0.1723,
      0.246,
      0.2429,
      0.2866,
      0.2564,
      0.542,
      0.1313,
      0.3049,
      0.2374,
      0.2765,
      0.2465,
      0,
      0.1739,
      0.2687,
      0.2108,
      0.1821,
      0.319,
      0.2618,
      0.1527,
      0.5502,
      0.1806,
      0.2069,
      0.296,
      0.2805,
      0.2299,
      0.1428,
      0.2976,
      0.0036,
      0.2286,
      0.3309,
      0.1803,
      0.4158,
      0.14,
      0.4873,
      0.2885,
      0.2644,
      0.4119,
      0.1879,
      0.3314,
      0.1385,
      0.2057,
      0.3515,
      0.1299,
      0.3287,
      0.3886,
      0.3895,
      0.2587,
      0.3566,
      0.234,
      0.2413,
      0.3474,
      0.2675,
      0.1841,
      0.3,
      0.1924,
      0.2321,
      0.3156,
      0.2039,
      0.2636,
      0.2697,
      0.1682,
      0.3803,
      0.3531,
      0.2678,
      0.4692,
      0.3277,
      0.2921,
      0.2167,
      0.25,
      0.3417,
      0.2528,
      0.1876,
      0.2573,
      0.1907,
      0.1017,
      0.3505,
      0.3397,
      0.0328,
      0.493,
      0.0439,
      0.0943,
      0.178,
      0.1727,
      0.3605,
      0.2805,
      0.3503,
      0,
      0.1859,
      0.342,
      0.2478,
      0.3992,
      0,
      0.5121,
      0.158,
      0.1877,
      0.2854,
      0.1471,
      0.3701,
      0.3171,
      0.2062,
      0.1851,
      0.1574,
      0.2234,
      0.2216,
      0.4188,
      0.1801,
      0.5258,
      0.2206,
      0.2383,
      0.4157,
      0.2127,
      0.3871,
      0.3653,
      0.2598,
      0.0636,
      0.1694,
      0.3143,
      0.1741,
      0.2969,
      0.2421,
      0.3359,
      0.2051,
      0.2901,
      0.5048,
      0.1631,
      0.3059,
      0.0133,
      0.2212,
      0.2909,
      0,
      0.3973,
      0.373,
      0.2771,
      0.2784,
      0.2905,
      0.2349,
      0.1669,
      0.5544,
      0.1312,
      0.2848,
      0.1615,
      0.2428,
      0.2833,
      0,
      0.2987,
      0.3043,
      0.2028,
      0.3441,
      0.323,
      0.3787,
      0.3055,
      0.5129,
      0.3164,
      0.2926,
      0.2011,
      0.2626,
      0.3192,
      0.1968,
      0.1931,
      0.1921,
      0.2092,
      0.2166,
      0.3379,
      0.2327,
      0.2846,
      0.4972,
      0.2619,
      0.3125,
      0.3515,
      0.2533,
      0.2506,
      0.1231,
      0,
      0.3179,
      0.1856,
      0.2446,
      0.2157,
      0.3649,
      0.3217,
      0.5462,
      0.3669,
      0.2277,
      0.4476,
      0.1906,
      0.2504,
      0.2395,
      0.1744,
      0.2983,
      0.1658,
      0.3381,
      0.3161,
      0.2306,
      0.211,
      0.4383,
      0.29,
      0.2145,
      0.5082,
      0.2121,
      0.2539,
      0.3586,
      0.1691,
      0.155,
      0.1797,
      0.2144,
      0.1643,
      0.2342,
      0.2502,
      0.2166,
      0.229,
      0.1015,
      0.5479,
      0.1913,
      0.2347,
      0.1319,
      0.2168,
      0.205,
      0.0069,
      0.2015,
      0.2281,
      0.0777,
      0,
      0,
      0,
      0,
      0,
      0.231,
      0.131,
      0.1464,
      0.2317,
      0.18,
      0.2144,
      0.0484,
      0.0774,
      0.1993,
      0.2066,
      0.237,
      0.2059,
      0.1292,
      0.2177,
      0.1974,
      0.1084,
      0.1913,
      0.3042,
      0.0522,
      0.1635,
      0.1441,
      0.2526,
      0.2555,
      0.0603,
      0.1114,
      0.1689,
      0.2344,
      0.1706,
      0.1754,
      0.2519,
      0.1452,
      0.1898,
      0.2465,
      0.166,
      0.269,
      0.4896,
      0.1621,
      0.2411,
      0.303,
      0.217,
      0.3282,
      0.2802,
      0.2226,
      0.2824,
      0.4053,
      0.3098,
      0.2373,
      0.197,
      0.0886,
      0.4376,
      0.3701,
      0.2378,
      0.3965,
      0.1493,
      0.3494,
      0.459,
      0.4966,
      0.3818,
      0.3786,
      0.4241,
      0.2076,
      0.3347,
      0,
      0.3794,
      0.2665,
      0,
      0.5116,
      0,
      0.2112,
      0.3622,
      0.3618,
      0,
      0.238,
      0.4385,
      0.3345,
      0.1893,
      0.3421,
      0.3332,
      0.3268,
      0.2263,
      0.4354,
      0.0214,
      0.4752,
      0.3299,
      0.1306,
      0.3447,
      0,
      0.192,
      0.2326,
      0.2362,
      0.2074,
      0.3361,
      0.3361,
      0.0731,
      0.4836,
      0.1266,
      0.0851,
      0.3225,
      0.1966,
      0.1883,
      0.1219,
      0.2921,
      0.0668,
      0.2091,
      0.3561,
      0.1286,
      0.4204,
      0.1079,
      0.4047,
      0.2357,
      0.195,
      0.4178,
      0.1716,
      0.3636,
      0.0933,
      0.2633,
      0.3362,
      0.088,
      0.3874,
      0.3788,
      0.4221,
      0.2442,
      0.4275,
      0.2417,
      0.3352,
      0.3855,
      0.2299,
      0.202,
      0.219,
      0.1879,
      0.2197,
      0.2956,
      0.2549,
      0.2877,
      0.2196,
      0.2308,
      0.3013,
      0.3114,
      0.2136,
      0.4521,
      0.2611,
      0.2917,
      0.2361,
      0.3032,
      0.3236,
      0.2666,
      0.1583,
      0.1742,
      0.1979,
      0.0405,
      0.38,
      0.4106,
      0,
      0.4477,
      0,
      0.005,
      0.2052,
      0.1921,
      0.4094,
      0.2111,
      0.3475,
      0,
      0.0983,
      0.3059,
      0.2499,
      0.4279,
      0.075,
      0.4475,
      0.19,
      0.1914,
      0.3205,
      0.1064,
      0.3969,
      0.2941,
      0.2298,
      0.1106,
      0.2792,
      0.3001,
      0.2005,
      0.4498,
      0.2019,
      0.3822,
      0.2432,
      0.1963,
      0.4715,
      0.2523,
      0.4144,
      0.367,
      0.2142,
      0.0652,
      0.1915,
      0.2541,
      0.1455,
      0.196,
      0.1775,
      0.3972,
      0.2392,
      0.2392,
      0.4653,
      0.1286,
      0.3373,
      0,
      0.2403,
      0.3387,
      0.0241,
      0.4374,
      0.4432,
      0.2561,
      0.2389,
      0.291,
      0.2832,
      0.1826,
      0.5086,
      0.0562,
      0.2185,
      0.27,
      0.2316,
      0.3572,
      0,
      0.3747,
      0.1488,
      0.2067,
      0.2704,
      0.3851,
      0.358,
      0.2298,
      0.413,
      0.2284,
      0.3481,
      0.1161,
      0.3986,
      0.3237,
      0.2151,
      0.1931,
      0.1796,
      0.2562,
      0.2876,
      0.275,
      0.3206,
      0.3338,
      0.5021,
      0.2818,
      0.306,
      0.3912,
      0.168,
      0.1818,
      0.1798,
      0,
      0.2597,
      0.0685,
      0.3124,
      0.2407,
      0.3862,
      0.2532,
      0.5141,
      0.2848,
      0.1826,
      0.4344,
      0.235,
      0.2666,
      0.2344,
      0.1819,
      0.2831,
      0.1396,
      0.4269,
      0.2627,
      0.1969,
      0.1213,
      0.3235,
      0.2865,
      0.1715,
      0.4722,
      0.1408,
      0.2249,
      0.2465,
      0.1651,
      0.1035,
      0.1781,
      0.2168,
      0.1082,
      0.1598,
      0.1841,
      0.2737,
      0.1993,
      0.1239,
      0.4275,
      0.1661,
      0.1878,
      0.1367,
      0.2281,
      0.2054,
      0.044,
      0.1037,
      0.1743,
      0.0253,
      0,
      0,
      0,
      0,
      0,
      0.2542,
      0.0749,
      0.103,
      0.1861,
      0.2557,
      0.1262,
      0.0621,
      0.1318,
      0.1722,
      0.2608,
      0.2321,
      0.1952,
      0.0567,
      0.1632,
      0.177,
      0.0511,
      0.2417,
      0.3209,
      0.0293,
      0.14,
      0.1113,
      0.2593,
      0.1822,
      0.0092,
      0.2906,
      0.1278,
      0.2486,
      0.1746,
      0.1707,
      0.2684,
      0.2336,
      0.244,
      0.2538,
      0.1495,
      0.3114,
      0.4741,
      0.0003,
      0.2444,
      0.3282,
      0.2863,
      0.2865,
      0.2458,
      0.2459,
      0.3943,
      0.2681,
      0.2925,
      0.2908,
      0.1212,
      0.0114,
      0.441,
      0.4406,
      0.1861,
      0.3566,
      0.1744,
      0.3095,
      0.4653,
      0.3684,
      0.3841,
      0.3655,
      0.4063,
      0.1941,
      0.3619,
      0,
      0.3846,
      0.3028,
      0,
      0.4274,
      0,
      0.1521,
      0.3438,
      0.3889,
      0,
      0.1412,
      0.4028,
      0.2622,
      0.2028,
      0.3265,
      0.311,
      0.2895,
      0.2311,
      0.4468,
      0.2213,
      0.2985,
      0.2611,
      0.2752,
      0.3601,
      0,
      0.1757,
      0.1894,
      0.2541,
      0.2024,
      0.2506,
      0.2486,
      0.1413,
      0.4518,
      0.1945,
      0.0618,
      0.2476,
      0.234,
      0.1738,
      0.1399,
      0.2291,
      0.1325,
      0.2591,
      0.3528,
      0.1463,
      0.4126,
      0.0824,
      0.3667,
      0.2425,
      0.2263,
      0.4477,
      0.1852,
      0.4209,
      0.1004,
      0.216,
      0.2761,
      0.043,
      0.4374,
      0.3822,
      0.3492,
      0.2751,
      0.3898,
      0.3086,
      0.3066,
      0.325,
      0.171,
      0.1318,
      0.1485,
      0.2165,
      0.2309,
      0.2133,
      0.1922,
      0.262,
      0.2238,
      0.1929,
      0.3332,
      0.3863,
      0.2623,
      0.3992,
      0.2713,
      0.4325,
      0.2416,
      0.2892,
      0.2755,
      0.4018,
      0.1067,
      0.1629,
      0.1562,
      0.0863,
      0.3246,
      0.4083,
      0.0112,
      0.4439,
      0.0015,
      0.0016,
      0.2389,
      0.137,
      0.4277,
      0.1595,
      0.3503,
      0,
      0.1722,
      0.3114,
      0.1871,
      0.4112,
      0.0683,
      0.4231,
      0.2072,
      0.1949,
      0.2637,
      0.1183,
      0.3922,
      0.2321,
      0.1943,
      0.1251,
      0.3578,
      0.3247,
      0.2166,
      0.3991,
      0.1647,
      0.3873,
      0.2132,
      0.1888,
      0.4217,
      0.267,
      0.394,
      0.3005,
      0.2364,
      0.2122,
      0.1982,
      0.2408,
      0.1406,
      0.1805,
      0.1634,
      0.3342,
      0.1714,
      0.29,
      0.4201,
      0.1083,
      0.3086,
      0,
      0.1981,
      0.2413,
      0.0489,
      0.4072,
      0.3499,
      0.2437,
      0.1818,
      0.2757,
      0.3117,
      0.1089,
      0.4994,
      0.0839,
      0.2294,
      0.2428,
      0.1607,
      0.3788,
      0.0207,
      0.2923,
      0.209,
      0.18,
      0.2294,
      0.3478,
      0.3919,
      0.2112,
      0.4304,
      0.3008,
      0.466,
      0.2088,
      0.3148,
      0.2267,
      0.3612,
      0.1777,
      0.2983,
      0.2513,
      0.2107,
      0.2614,
      0.2958,
      0.2952,
      0.483,
      0.2755,
      0.2797,
      0.2786,
      0.2697,
      0.215,
      0.2261,
      0,
      0.2253,
      0.1629,
      0.3518,
      0.1401,
      0.2712,
      0.1956,
      0.469,
      0.1293,
      0.1261,
      0.3771,
      0.1776,
      0.2249,
      0.2282,
      0.164,
      0.2362,
      0.2055,
      0.4345,
      0.2264,
      0.177,
      0.2515,
      0.3639,
      0.1972,
      0.1842,
      0.423,
      0.1459,
      0.1878,
      0.2425,
      0.0769,
      0.1863,
      0.2516,
      0.2209,
      0.1185,
      0.2749,
      0.2275,
      0.3081,
      0.1885,
      0.1515,
      0.4645,
      0.1854,
      0.0985,
      0.067,
      0.1852,
      0.2086,
      0.0444,
      0.1485,
      0.1107,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3058,
      0.1624,
      0.1507,
      0.2175,
      0.2372,
      0.1453,
      0,
      0.1708,
      0.1579,
      0.1957,
      0.1917,
      0.131,
      0.1947,
      0.2325,
      0.1822,
      0.0343,
      0.1501,
      0.2927,
      0.033,
      0.1132,
      0.1355,
      0.2433,
      0.1904,
      0.0557,
      0.2477,
      0.1217,
      0.1972,
      0.1591,
      0.1,
      0.1622,
      0.2317,
      0.2426,
      0.2781,
      0.2243,
      0.2872,
      0.4347,
      0.0372,
      0.1956,
      0.3805,
      0.2429,
      0.2904,
      0.3016,
      0.2681,
      0.4667,
      0.3446,
      0.3324,
      0.271,
      0.1235,
      0.1113,
      0.4537,
      0.3237,
      0.1067,
      0.335,
      0.1645,
      0.2915,
      0.4512,
      0.3274,
      0.3334,
      0.3625,
      0.3875,
      0.1782,
      0.4205,
      0,
      0.3419,
      0.3227,
      0,
      0.4812,
      0,
      0.1514,
      0.3942,
      0.3503,
      0.1696,
      0.2299,
      0.4881,
      0.0921,
      0.1088,
      0.3046,
      0.3089,
      0.2171,
      0.2499,
      0.4694,
      0.2738,
      0.2613,
      0.2775,
      0.3127,
      0.4593,
      0,
      0.1509,
      0.2075,
      0.2803,
      0.1452,
      0.3145,
      0.1465,
      0.1268,
      0.4238,
      0.2437,
      0.0431,
      0.2392,
      0.1863,
      0.192,
      0.1927,
      0.2721,
      0.1493,
      0.1393,
      0.3522,
      0.1221,
      0.4026,
      0.062,
      0.4312,
      0.1785,
      0.2163,
      0.3671,
      0.1615,
      0.3526,
      0.1326,
      0.2036,
      0.3361,
      0.043,
      0.4404,
      0.3299,
      0.3158,
      0.1814,
      0.3477,
      0.255,
      0.2506,
      0.308,
      0.2448,
      0.1204,
      0.2812,
      0.2137,
      0.1967,
      0.2468,
      0.1904,
      0.2535,
      0.2414,
      0.1652,
      0.336,
      0.4481,
      0.1665,
      0.4091,
      0.2715,
      0.4931,
      0.2141,
      0.2455,
      0.2893,
      0.4666,
      0.2746,
      0.1168,
      0.2123,
      0.0341,
      0.3694,
      0.3809,
      0.0058,
      0.4485,
      0.0665,
      0,
      0.1983,
      0.2111,
      0.4109,
      0.1849,
      0.3444,
      0,
      0.1154,
      0.3412,
      0.1617,
      0.3743,
      0.0634,
      0.4524,
      0.1641,
      0.2138,
      0.2918,
      0.1355,
      0.4035,
      0.2034,
      0.1892,
      0.1705,
      0.4826,
      0.295,
      0.2323,
      0.3718,
      0.1569,
      0.4431,
      0.287,
      0.2195,
      0.4207,
      0.3867,
      0.3497,
      0.2979,
      0.2206,
      0.1801,
      0.2155,
      0.2351,
      0.1355,
      0.2374,
      0.1573,
      0.2806,
      0.2154,
      0.3091,
      0.3937,
      0.108,
      0.2367,
      0,
      0.2488,
      0.2256,
      0.053,
      0.3494,
      0.3254,
      0.2036,
      0.1558,
      0.291,
      0.2955,
      0.0821,
      0.4723,
      0,
      0.1941,
      0.2054,
      0.2379,
      0.3779,
      0,
      0.3335,
      0.2439,
      0.1642,
      0.2194,
      0.315,
      0.4717,
      0.1753,
      0.4379,
      0.2758,
      0.4975,
      0.2215,
      0.219,
      0.2358,
      0.4515,
      0.2356,
      0.2756,
      0.3276,
      0.1761,
      0.2919,
      0.2768,
      0.4578,
      0.4241,
      0.4467,
      0.3466,
      0.3059,
      0.2625,
      0.1766,
      0.1119,
      0,
      0.3052,
      0.1835,
      0.3365,
      0.1715,
      0.3007,
      0.2883,
      0.4004,
      0.0337,
      0.1336,
      0.3543,
      0.1974,
      0.2331,
      0.2333,
      0.0976,
      0.2599,
      0.1016,
      0.3886,
      0.2288,
      0.2191,
      0.2303,
      0.3726,
      0.2084,
      0.161,
      0.4514,
      0.1732,
      0.2432,
      0.2286,
      0.1485,
      0.0866,
      0.1877,
      0.206,
      0.0977,
      0.19,
      0.1152,
      0.2392,
      0.2108,
      0.0948,
      0.4178,
      0.2582,
      0.1542,
      0.0807,
      0.2271,
      0.2865,
      0.012,
      0.0995,
      0.1944,
      0,
      0,
      0,
      0,
      0,
      0,
      0.3018,
      0.074,
      0.0603,
      0.1343,
      0.1959,
      0.164,
      0,
      0.1436,
      0.1399,
      0.1936,
      0.1567,
      0.171,
      0.0817,
      0.1957,
      0.1486,
      0.0197,
      0.1518,
      0.2857,
      0,
      0.1404,
      0.1124,
      0.2326,
      0.1498,
      0,
      0.2104,
      0.0757,
      0.2209,
      0.0528,
      0.1087,
      0.2187,
      0.1235,
      0.1411,
      0.2653,
      0.1628,
      0.2126,
      0.3719,
      0,
      0.2582,
      0.2464,
      0.2704,
      0.2111,
      0.2214,
      0.2337,
      0.2435,
      0.2955,
      0.237,
      0.13,
      0.1738,
      0.0634,
      0.3822,
      0.3164,
      0.1541,
      0.1907,
      0.1351,
      0.2152,
      0.3697,
      0.3553,
      0.2622,
      0.2833,
      0.3028,
      0.1664,
      0.2037,
      0,
      0.2972,
      0.203,
      0,
      0.3723,
      0,
      0.1475,
      0.3995,
      0.2562,
      0,
      0.1716,
      0.3048,
      0.2352,
      0.1084,
      0.3185,
      0.2411,
      0.1892,
      0.2668,
      0.3425,
      0.137,
      0.1921,
      0.2327,
      0.2492,
      0.2546,
      0,
      0.0995,
      0.2542,
      0.2687,
      0.0584,
      0.2413,
      0.1997,
      0.1066,
      0.3672,
      0.1938,
      0.0392,
      0.2018,
      0.1418,
      0.1721,
      0.1191,
      0.1642,
      0.0149,
      0.1709,
      0.2963,
      0.095,
      0.2891,
      0.0771,
      0.2138,
      0.0158,
      0.1783,
      0.3404,
      0.0143,
      0.235,
      0.0125,
      0.165,
      0.1736,
      0,
      0.3443,
      0.3273,
      0.2128,
      0.2051,
      0.2929,
      0.2755,
      0.2685,
      0.2921,
      0.1924,
      0.0428,
      0.2667,
      0.1017,
      0.1065,
      0.1655,
      0.1595,
      0.2311,
      0.2226,
      0.1851,
      0.2197,
      0.2081,
      0.1644,
      0.3645,
      0.2139,
      0.2649,
      0.1158,
      0.2199,
      0.2874,
      0.2963,
      0.0772,
      0.1165,
      0.1887,
      0.0849,
      0.2841,
      0.2672,
      0,
      0.3657,
      0,
      0,
      0.2848,
      0.1436,
      0.2437,
      0.2519,
      0.1873,
      0,
      0.1318,
      0.3117,
      0.1346,
      0.3116,
      0.0008,
      0.418,
      0.2493,
      0.1457,
      0.2411,
      0.0755,
      0.2441,
      0.1353,
      0.1042,
      0.2323,
      0.1246,
      0.1698,
      0.1455,
      0.2947,
      0.1075,
      0.3892,
      0.1422,
      0.1257,
      0.3159,
      0.1017,
      0.1987,
      0.2316,
      0.1986,
      0.1412,
      0.1853,
      0.2532,
      0.1529,
      0.1748,
      0.1704,
      0.2945,
      0.1413,
      0.221,
      0.4338,
      0.0114,
      0.1769,
      0,
      0.1272,
      0.1803,
      0.0036,
      0.2052,
      0.2937,
      0.1676,
      0.195,
      0.259,
      0.1976,
      0.1279,
      0.4414,
      0,
      0.1626,
      0.211,
      0.2002,
      0.286,
      0,
      0.3446,
      0.2683,
      0.175,
      0.2789,
      0.2674,
      0.2564,
      0.2161,
      0.3316,
      0.1838,
      0.2442,
      0.2033,
      0.1902,
      0.219,
      0.2472,
      0.1495,
      0.2173,
      0.2283,
      0.1856,
      0.2679,
      0.1169,
      0.1749,
      0.3143,
      0.2589,
      0.2568,
      0.2851,
      0.2111,
      0.2164,
      0.0889,
      0,
      0.2269,
      0.1294,
      0.2291,
      0.0756,
      0.1813,
      0.2787,
      0.3812,
      0.0798,
      0.0859,
      0.3203,
      0.0865,
      0.1431,
      0.1844,
      0.0633,
      0.2534,
      0.0189,
      0.2921,
      0.1878,
      0.1331,
      0.1772,
      0.207,
      0.2462,
      0.145,
      0.3773,
      0.1168,
      0.1538,
      0.1631,
      0.1505,
      0.1029,
      0.0254,
      0.1637,
      0.1012,
      0.1802,
      0.1102,
      0.1647,
      0.2258,
      0.0944,
      0.3949,
      0.1451,
      0.0859,
      0.1009,
      0.2155,
      0.1509,
      0,
      0.0743,
      0.1891,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1925,
      0.0185,
      0.0401,
      0.0666,
      0.091,
      0.0806,
      0,
      0.0579,
      0.1277,
      0.1669,
      0.169,
      0.1037,
      0.0892,
      0.1372,
      0.1447,
      0,
      0.1158,
      0.2746,
      0,
      0.0658,
      0.0826,
      0.2161,
      0.1031,
      0,
      0.1462,
      0.1352,
      0.2023,
      0.0198,
      0.0934,
      0.183,
      0.1137,
      0.0521,
      0.1618,
      0.0661,
      0.0981,
      0.4037,
      0.0096,
      0.2117,
      0.22,
      0.2906,
      0.4329,
      0.0988,
      0.187,
      0.2472,
      0.2271,
      0.1199,
      0.3487,
      0.1758,
      0.1011,
      0.4291,
      0.3769,
      0.1986,
      0.2886,
      0.2258,
      0.1995,
      0.404,
      0.3008,
      0.2702,
      0.3033,
      0.2843,
      0.1249,
      0.2553,
      0,
      0.3053,
      0.1385,
      0,
      0.3209,
      0.1076,
      0.1628,
      0.4266,
      0.2611,
      0,
      0.1425,
      0.314,
      0.2111,
      0.1986,
      0.335,
      0.3477,
      0.1779,
      0.2418,
      0.4278,
      0.11,
      0.1978,
      0.1544,
      0.2243,
      0.2098,
      0.0186,
      0.1264,
      0.3187,
      0.2272,
      0.0874,
      0.2296,
      0.1839,
      0.0978,
      0.4339,
      0.1616,
      0,
      0.1024,
      0.1162,
      0.2214,
      0.0307,
      0.1683,
      0,
      0.1841,
      0.2028,
      0.0694,
      0.2833,
      0.0073,
      0.3017,
      0.1377,
      0.1862,
      0.279,
      0.0317,
      0.2326,
      0.0285,
      0.1108,
      0.167,
      0,
      0.327,
      0.1468,
      0.205,
      0.228,
      0.3193,
      0.2288,
      0.1652,
      0.2531,
      0.1028,
      0.1124,
      0.1701,
      0.0738,
      0.0652,
      0.0914,
      0.1735,
      0.1254,
      0.0985,
      0.1937,
      0.1918,
      0.2286,
      0.3842,
      0.3423,
      0.1654,
      0.183,
      0.4159,
      0.178,
      0.2455,
      0.271,
      0.069,
      0.2463,
      0.0749,
      0.2072,
      0.3756,
      0.2697,
      0,
      0.3708,
      0,
      0,
      0.252,
      0.1215,
      0.2658,
      0.1679,
      0.2353,
      0,
      0.2544,
      0.26,
      0.12,
      0.2918,
      0,
      0.4443,
      0.1481,
      0.0901,
      0.3005,
      0.0826,
      0.22,
      0.2918,
      0.1766,
      0.2244,
      0.0972,
      0.1924,
      0.3089,
      0.2915,
      0.111,
      0.3747,
      0.1,
      0.1126,
      0.2616,
      0.0766,
      0.2487,
      0.2776,
      0.1546,
      0.1445,
      0.1845,
      0.2349,
      0.1702,
      0.1198,
      0.1414,
      0.2777,
      0.1923,
      0.1906,
      0.3669,
      0.1524,
      0.1836,
      0,
      0.1575,
      0.2142,
      0,
      0.2424,
      0.2834,
      0.1873,
      0.1214,
      0.2262,
      0.1916,
      0.1081,
      0.3975,
      0,
      0.1277,
      0.2473,
      0.1551,
      0.2332,
      0.0091,
      0.2628,
      0.1179,
      0.1621,
      0.184,
      0.3174,
      0.2,
      0.387,
      0.4223,
      0.1878,
      0.1616,
      0.4105,
      0.2171,
      0.2342,
      0.2476,
      0.1002,
      0.2125,
      0.1575,
      0.2436,
      0.4318,
      0.3329,
      0.064,
      0.411,
      0.2619,
      0.2913,
      0.2305,
      0.1703,
      0.1997,
      0.088,
      0,
      0.4209,
      0.0662,
      0.2112,
      0,
      0.213,
      0.2901,
      0.3294,
      0.0422,
      0,
      0.3141,
      0.0713,
      0.1737,
      0.206,
      0.0802,
      0.2479,
      0.0093,
      0.2414,
      0.1277,
      0.1003,
      0.1874,
      0.2597,
      0.242,
      0.1327,
      0.3762,
      0.0261,
      0.1145,
      0.2106,
      0.0605,
      0.0646,
      0.1198,
      0.0835,
      0,
      0.1386,
      0.1178,
      0.143,
      0.1284,
      0.1434,
      0.3513,
      0.1767,
      0.1542,
      0.054,
      0.1143,
      0.0866,
      0,
      0,
      0.1189,
      0,
      0,
      0,
      0,
      0,
      0,
      0.147,
      0.0446,
      0,
      0.0576,
      0.1169,
      0.0571,
      0,
      0.0495,
      0.1227,
      0.0965,
      0.146,
      0.0483,
      0,
      0.1065,
      0.0659,
      0,
      0.0604,
      0.2128,
      0,
      0.0463,
      0.0783,
      0.1207,
      0.1256,
      0,
      0.0706,
      0.0391,
      0.0896,
      0.087,
      0.0485,
      0.1582,
      0.0432,
      0.1317,
      0.1567,
      0,
      0.083,
      0.4016,
      0,
      0.1993,
      0.1665,
      0.2659,
      0.1487,
      0.0773,
      0.0772,
      0.2369,
      0.2142,
      0.1216,
      0.2536,
      0.1287,
      0,
      0.35,
      0.2913,
      0.1031,
      0.31,
      0.086,
      0.1365,
      0.3208,
      0.3501,
      0.1848,
      0.226,
      0.212,
      0.0981,
      0.0799,
      0,
      0.3176,
      0.1396,
      0,
      0.322,
      0.0386,
      0.0188,
      0.3491,
      0.0843,
      0,
      0.1202,
      0.2343,
      0.1673,
      0.2921,
      0.2904,
      0.3165,
      0.1225,
      0.1667,
      0.3792,
      0.0319,
      0.2296,
      0.1113,
      0.2253,
      0.1727,
      0,
      0.0324,
      0.172,
      0.1968,
      0,
      0.1777,
      0.138,
      0.1058,
      0.3621,
      0.0199,
      0,
      0.1704,
      0.0561,
      0.0871,
      0,
      0.127,
      0,
      0.0667,
      0.212,
      0.0322,
      0.238,
      0.0368,
      0.3633,
      0.1337,
      0.163,
      0.2718,
      0,
      0.2198,
      0,
      0.0737,
      0.1963,
      0,
      0.1021,
      0.231,
      0.1749,
      0.2207,
      0.2979,
      0.2686,
      0.0782,
      0.2398,
      0.098,
      0.0471,
      0.1977,
      0.0647,
      0.1135,
      0.0042,
      0.0328,
      0.066,
      0.0874,
      0.1154,
      0.1635,
      0.1574,
      0.2541,
      0.2972,
      0.1317,
      0.1915,
      0.1245,
      0.1777,
      0.1812,
      0.1792,
      0.0947,
      0.1931,
      0.0409,
      0.0934,
      0.2366,
      0.2183,
      0,
      0.3277,
      0,
      0,
      0.2247,
      0.0558,
      0.215,
      0.1975,
      0.1724,
      0,
      0.1939,
      0.2278,
      0.0654,
      0.2171,
      0,
      0.3861,
      0.0514,
      0.0235,
      0.1985,
      0,
      0.1763,
      0.1241,
      0.0227,
      0.0822,
      0.0034,
      0.144,
      0.2638,
      0.2139,
      0.0838,
      0.2506,
      0.0472,
      0.0776,
      0.3044,
      0.034,
      0.1845,
      0.213,
      0.1014,
      0.1153,
      0.0612,
      0.1815,
      0.0753,
      0.0854,
      0.0927,
      0.2009,
      0.1009,
      0.1578,
      0.3155,
      0.0349,
      0.132,
      0,
      0.0384,
      0.1979,
      0,
      0.1328,
      0.2416,
      0.1523,
      0.1022,
      0.1337,
      0.1163,
      0.0191,
      0.3303,
      0,
      0.1192,
      0.1965,
      0.1201,
      0.2032,
      0,
      0.2016,
      0.0535,
      0.1266,
      0.2839,
      0.1589,
      0.202,
      0.1594,
      0.3677,
      0.2185,
      0.1461,
      0.1479,
      0.1711,
      0.1763,
      0.171,
      0.0269,
      0.129,
      0.1152,
      0.0844,
      0.3128,
      0.2344,
      0.0826,
      0.3985,
      0.2208,
      0.1748,
      0.279,
      0.1558,
      0.1935,
      0.0587,
      0,
      0.3027,
      0,
      0.1828,
      0,
      0.1485,
      0.1537,
      0.3922,
      0.0104,
      0,
      0.2466,
      0.0302,
      0.0924,
      0.1017,
      0.0179,
      0.145,
      0.0507,
      0.223,
      0.1517,
      0.1055,
      0.1855,
      0.3043,
      0.2147,
      0.1063,
      0.4036,
      0,
      0.1414,
      0.1813,
      0.0513,
      0.0036,
      0.166,
      0.1189,
      0.0132,
      0.0912,
      0.0263,
      0.1553,
      0,
      0.0769,
      0.3461,
      0.0766,
      0.092,
      0.0057,
      0.0806,
      0.1389,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1758,
      0,
      0,
      0.0466,
      0,
      0,
      0,
      0.0081,
      0,
      0.1079,
      0.0592,
      0.0325,
      0,
      0.0342,
      0.1022,
      0,
      0,
      0.152,
      0,
      0.0408,
      0,
      0.0517,
      0.0472,
      0,
      0.016,
      0.0184,
      0.0457,
      0.0128,
      0,
      0.1158,
      0.0044,
      0.0359,
      0.0576,
      0,
      0.0473,
      0.3667,
      0,
      0.1755,
      0.1273,
      0.0407,
      0.1055,
      0.0164,
      0.0999,
      0.0761,
      0.1164,
      0.0789,
      0.0883,
      0.0301,
      0,
      0.3256,
      0.2487,
      0.1488,
      0.2192,
      0.0432,
      0.0802,
      0.2536,
      0.2364,
      0.1598,
      0.1732,
      0.2108,
      0.0724,
      0.1432,
      0,
      0.2403,
      0.1001,
      0,
      0.2895,
      0,
      0,
      0.1684,
      0.0491,
      0,
      0.031,
      0.1862,
      0.1597,
      0.0048,
      0.1482,
      0.1523,
      0.1065,
      0.1578,
      0.3807,
      0,
      0.163,
      0.1331,
      0.074,
      0.1557,
      0,
      0.0332,
      0.1272,
      0.1824,
      0,
      0.1274,
      0.1489,
      0,
      0.3375,
      0,
      0,
      0.1649,
      0,
      0.107,
      0,
      0.1339,
      0,
      0.1084,
      0.115,
      0,
      0.2052,
      0.0324,
      0.3273,
      0.0586,
      0.1389,
      0.1839,
      0.0252,
      0.1874,
      0,
      0.0508,
      0.1374,
      0,
      0.2012,
      0.2541,
      0.1352,
      0.1344,
      0.2427,
      0.1233,
      0.0319,
      0.184,
      0.0602,
      0.0323,
      0.0705,
      0.0005,
      0.1011,
      0,
      0.0141,
      0.0757,
      0.0861,
      0.06,
      0.1438,
      0.1101,
      0.1326,
      0.2666,
      0.1335,
      0.1245,
      0.0284,
      0.1043,
      0.1273,
      0.097,
      0.0505,
      0.024,
      0,
      0,
      0.163,
      0.2099,
      0,
      0.3117,
      0,
      0,
      0.0548,
      0.0201,
      0.2127,
      0.0921,
      0.1524,
      0,
      0.0096,
      0.104,
      0,
      0.1889,
      0,
      0.3508,
      0.045,
      0.0973,
      0.1683,
      0,
      0.1742,
      0.1159,
      0.0386,
      0.0195,
      0,
      0.149,
      0.0419,
      0.2149,
      0.0711,
      0.2702,
      0.0199,
      0.051,
      0.2752,
      0.0416,
      0.1614,
      0.1519,
      0.0091,
      0,
      0.1135,
      0.1122,
      0.06,
      0.0963,
      0.017,
      0.1838,
      0.0301,
      0.0105,
      0.2789,
      0.0736,
      0.0982,
      0,
      0,
      0.1452,
      0,
      0.1449,
      0.2,
      0.0526,
      0.1012,
      0.0984,
      0.1054,
      0,
      0.3251,
      0,
      0.0712,
      0.1577,
      0.0962,
      0.2077,
      0,
      0.2423,
      0.1389,
      0.1228,
      0.1716,
      0.2178,
      0.0814,
      0.0606,
      0.3148,
      0.0823,
      0.1001,
      0.0863,
      0.173,
      0.1043,
      0.1149,
      0.0816,
      0.0763,
      0.0636,
      0.0864,
      0.1004,
      0.1129,
      0.0322,
      0.3627,
      0.0944,
      0.2304,
      0.1587,
      0.0292,
      0.1244,
      0,
      0,
      0.1482,
      0,
      0.155,
      0,
      0.1732,
      0.1511,
      0.3417,
      0.0937,
      0,
      0.2402,
      0.0065,
      0,
      0.1333,
      0.0344,
      0.0898,
      0,
      0.1945,
      0.0455,
      0,
      0.018,
      0.2807,
      0.127,
      0,
      0.3474,
      0,
      0.0671,
      0.0797,
      0,
      0,
      0.061,
      0.0328,
      0,
      0.0115,
      0,
      0.0462,
      0,
      0.0476,
      0.3637,
      0.0583,
      0.0407,
      0,
      0.0198,
      0.1045,
      0,
      0.0011,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1268,
      0,
      0,
      0.0119,
      0.008,
      0,
      0,
      0,
      0.0411,
      0,
      0.0502,
      0,
      0.0303,
      0,
      0.0127,
      0,
      0.0266,
      0.0842,
      0,
      0,
      0,
      0.0576,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0073,
      0.0276,
      0.0301,
      0.012,
      0,
      0,
      0.3527,
      0,
      0.0443,
      0.0562,
      0.0241,
      0.0547,
      0.0397,
      0.025,
      0.1375,
      0.0476,
      0.1243,
      0,
      0,
      0,
      0.2868,
      0.2281,
      0.0745,
      0.1495,
      0,
      0.1258,
      0.2387,
      0.1671,
      0.142,
      0.1006,
      0.2009,
      0,
      0.124,
      0,
      0.2091,
      0.0522,
      0,
      0.2539,
      0,
      0,
      0.0815,
      0.0101,
      0,
      0,
      0.2065,
      0.1051,
      0,
      0.1127,
      0.0446,
      0.0861,
      0.0603,
      0.3588,
      0,
      0.077,
      0.0665,
      0.0366,
      0.1372,
      0,
      0,
      0.114,
      0.1155,
      0,
      0.0001,
      0.0309,
      0,
      0.2804,
      0,
      0,
      0.0112,
      0,
      0.0749,
      0,
      0.0389,
      0,
      0.0264,
      0.1305,
      0,
      0.2082,
      0.0064,
      0.2353,
      0,
      0.0965,
      0.1866,
      0,
      0.1631,
      0,
      0.0411,
      0.013,
      0,
      0.219,
      0.1708,
      0.1755,
      0.0173,
      0.166,
      0.051,
      0.0503,
      0.1291,
      0,
      0,
      0.0296,
      0,
      0,
      0,
      0,
      0,
      0.006,
      0,
      0.0462,
      0.1175,
      0.0913,
      0.2841,
      0,
      0.0809,
      0.0651,
      0.0146,
      0.0985,
      0.0731,
      0.0243,
      0.0036,
      0,
      0,
      0.1375,
      0.2064,
      0,
      0.2969,
      0,
      0,
      0.0292,
      0,
      0.2179,
      0.055,
      0.1122,
      0,
      0,
      0.1355,
      0,
      0.2062,
      0,
      0.2968,
      0,
      0,
      0.039,
      0,
      0.1864,
      0.0442,
      0,
      0,
      0,
      0.105,
      0.0333,
      0.2112,
      0,
      0.2345,
      0,
      0,
      0.2353,
      0,
      0.18,
      0.1218,
      0.0354,
      0.0208,
      0.0559,
      0.1096,
      0.0493,
      0.01,
      0,
      0.1862,
      0,
      0.1293,
      0.3047,
      0,
      0.0594,
      0,
      0,
      0.0696,
      0,
      0.1514,
      0.0618,
      0.0041,
      0.0128,
      0.0404,
      0.0545,
      0,
      0.3356,
      0,
      0,
      0,
      0,
      0.1504,
      0,
      0.1208,
      0.0067,
      0,
      0.0618,
      0.1861,
      0.1081,
      0.074,
      0.247,
      0.0535,
      0.0705,
      0.0273,
      0.0629,
      0.0101,
      0.0564,
      0.0878,
      0.0109,
      0,
      0,
      0.0105,
      0.0617,
      0.0519,
      0.3411,
      0,
      0.1275,
      0.0416,
      0.0457,
      0.0769,
      0,
      0,
      0.1424,
      0,
      0.1215,
      0,
      0.0811,
      0.0956,
      0.2368,
      0.0827,
      0,
      0.2319,
      0,
      0,
      0.0077,
      0,
      0.0691,
      0,
      0.2103,
      0,
      0,
      0,
      0.1638,
      0.05,
      0,
      0.3022,
      0,
      0,
      0.0011,
      0,
      0,
      0.0009,
      0,
      0,
      0,
      0.0057,
      0,
      0,
      0,
      0.3488,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.04,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0095,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2588,
      0,
      0,
      0.0902,
      0.027,
      0,
      0.0595,
      0,
      0.2667,
      0,
      0.0592,
      0,
      0,
      0,
      0.2727,
      0.0627,
      0,
      0.0606,
      0,
      0.0153,
      0.1998,
      0.0903,
      0.0881,
      0.1075,
      0.0519,
      0,
      0.007,
      0,
      0.194,
      0,
      0,
      0.1076,
      0,
      0,
      0.046,
      0.0472,
      0,
      0,
      0.0077,
      0.035,
      0,
      0.0314,
      0,
      0,
      0,
      0.196,
      0,
      0,
      0,
      0,
      0.0067,
      0,
      0,
      0.0118,
      0.0497,
      0,
      0,
      0,
      0,
      0.281,
      0,
      0,
      0,
      0,
      0.025,
      0,
      0,
      0,
      0,
      0.001,
      0,
      0.0563,
      0,
      0.2149,
      0,
      0,
      0.0538,
      0,
      0.0002,
      0,
      0,
      0,
      0,
      0.0944,
      0.0147,
      0,
      0,
      0.1633,
      0.0141,
      0,
      0.0128,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2021,
      0.0365,
      0.139,
      0.0389,
      0.1057,
      0,
      0,
      0.0002,
      0.1595,
      0.0113,
      0,
      0,
      0,
      0.0993,
      0.0583,
      0,
      0.2069,
      0,
      0,
      0,
      0,
      0.0601,
      0,
      0.0886,
      0,
      0,
      0.025,
      0,
      0.0411,
      0,
      0.2837,
      0,
      0,
      0.0037,
      0,
      0.0248,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0295,
      0,
      0.1931,
      0,
      0,
      0.0668,
      0,
      0.0186,
      0.0338,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1263,
      0,
      0,
      0.1414,
      0,
      0,
      0,
      0,
      0,
      0,
      0.056,
      0.0758,
      0,
      0,
      0.0217,
      0,
      0,
      0.2587,
      0,
      0,
      0,
      0,
      0.1152,
      0,
      0,
      0.0118,
      0.0053,
      0,
      0.0529,
      0.2088,
      0.0468,
      0.2293,
      0.0346,
      0.1482,
      0,
      0,
      0,
      0.1326,
      0.0148,
      0,
      0,
      0,
      0,
      0.031,
      0.1002,
      0.2561,
      0.048,
      0.0634,
      0.043,
      0.016,
      0,
      0,
      0,
      0.0707,
      0,
      0,
      0,
      0,
      0.0256,
      0.1999,
      0,
      0,
      0.0823,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0476,
      0,
      0,
      0,
      0.1929,
      0,
      0,
      0.1684,
      0,
      0.0025,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.2223,
      0,
      0,
      0,
      0,
      0.0023,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1723,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0655,
      0.0139,
      0,
      0,
      0,
      0,
      0.0457,
      0,
      0.0066,
      0.0335,
      0,
      0,
      0,
      0,
      0.0534,
      0,
      0,
      0.0789,
      0,
      0,
      0.0379,
      0.0279,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1821,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0666,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0194,
      0,
      0.0772,
      0,
      0,
      0.0808,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0271,
      0,
      0,
      0.1031,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1038,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.013,
      0,
      0.0644,
      0,
      0,
      0,
      0,
      0.0341,
      0,
      0.0189,
      0,
      0,
      0,
      0,
      0.036,
      0,
      0.1261,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0113,
      0,
      0.1298,
      0,
      0,
      0.0885,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0823,
      0,
      0,
      0.1132,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0378,
      0,
      0,
      0,
      0,
      0,
      0.1066,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0823,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1718,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1146,
      0,
      0,
      0.1044,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0479,
      0,
      0,
      0.1197,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.1574,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0081,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.021,
      0,
      0,
      0,
      0,
      0,
      0.043,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0047,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0064,
      0,
      0.003,
      0,
      0,
      0.0099,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.05,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0382,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0728,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0258,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0361,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0948,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.0164,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.044,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.009,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0
    ],
    "brightness_curve": [
      0.19594527372055484,
      0.24625582383045763,
      0.19004160166075657,
      0.1928717282525402,
      0.2395309268261662,
      0.22540601205466146,
      0.25177275493993123,
      0.28765451329052566,
      0.30108465672009316,
      0.23795303709563753,
      0.22513489137332615,
      0.20275908074490456,
      0.24117596080052214,
      0.1978031044765815,
      0.2422569052188559,
      0.21814718817817777,
      0.18655782965677617,
      0.21828337251707014,
      0.21296283841446562,
      0.2046508802882911,
      0.22819971965683167,
      0.23337166449999056,
      0.19678832142360664,
      0.22752710443450974,
      0.1841703097280304,
      0.2395955193520131,
      0.24270712133182137,
      0.26571187240668137,
      0.2419756261182207,
      0.19333507765201835,
      0.1949067331527528,
      0.24697872866787343,
      0.1968413878612197,
      0.23136010747485317,
      0.21017621924660682,
      0.18306596040468037,
      0.18545176592633744,
      0.2415950159057279,
      0.21214644396569468,
      0.20915850027174543,
      0.1995062063632307,
      0.25707445024618325,
      0.2376895658297993,
      0.23709011380012843,
      0.1793397079858586,
      0.24279147704590273,
      0.24644799821223587,
      0.23008490553693034,
      0.2676312693637911,
      0.18698775208004523,
      0.2794245076798238,
      0.20685189817628316,
      0.23858598156933464,
      0.27008486405156273,
      0.17934899805901075,
      0.28585891742240005,
      0.23967858641864914,
      0.2906634021982304,
      0.23930998418861404,
      0.20230098922593615,
      0.2699872143295146,
      0.22314534094728172,
      0.2661625270868956,
      0.20438509887274708,
      0.19169492939183103,
      0.26666755438251694,
      0.21892904348207715,
      0.2585028687857237,
      0.19188665471775876,
      0.2600032898837269,
      0.24930896106794115,
      0.2107725011240691,
      0.26178126504504373,
      0.16846183244321852,
      0.27547295441502323,
      0.1643053475255445,
      0.1440323303551772,
      0.25774459738456196,
      0.23652196630533473,
      0.19913500119638536,
      0.22278584811208413,
      0.2880540574957675,
      0.31622095919671384,
      0.20820437881099577,
      0.2171623764434786,
      0.24780253348086387,
      0.28905509424377346,
      0.256741134925723,
      0.19104280674839963,
      0.23882287991299067,
      0.28722663371049056,
      0.27400821343871223,
      0.2991145329238736,
      0.23360405370146425,
      0.22395885852484132,
      0.2765733762813476,
      0.28795615886427994,
      0.18454157774847676,
      0.23674642589684855,
      0.21404014160581644,
      0.26238917645697485,
      0.3133274752519792,
      0.21363723388561456,
      0.220979042306361,
      0.22150027623137727,
      0.2897063562657966,
      0.3187330228413936,
      0.24019232405434357,
      0.23835505072807098,
      0.26633035645646086,
      0.2388263868765986,
      0.2979094295141039,
      0.28192192402755234,
      0.288586089341614,
      0.30323275843858566,
      0.27483165325199327,
      0.20076793245667546,
      0.21453973389944422,
      0.19140344953352545,
      0.3241595670718397,
      0.27687640882453257,
      0.1980252909075164,
      0.2182913107987165,
      0.2133496059003196,
      0.2715059252451972,
      0.2848669982413934,
      0.19967384454719683,
      0.22267852819214284,
      0.2175154077416682,
      0.2855563708544667,
      0.2572261601972599,
      0.27323729146738296,
      0.23677950066288161,
      0.23649995185771397,
      0.28667710770793364,
      0.29000405019657793,
      0.20427762770156938,
      0.27941722426904503,
      0.2743599917020565,
      0.2717540354233419,
      0.220840271617424,
      0.2556356644683426,
      0.256826067772523,
      0.23292921301804684,
      0.2607273159840587,
      0.13137735796739172,
      0.2690709310967489,
      0.2103027996516237,
      0.20785237134142068,
      0.2656006054634278,
      0.18090716022780884,
      0.2673987367956073,
      0.19122920653926412,
      0.25600886045661253,
      0.2152512940360578,
      0.19700606460982467,
      0.19914098142563158,
      0.24152784020670298,
      0.27313254078534205,
      0.23058436178350966,
      0.17490856596230925,
      0.21837712579754345,
      0.27643766425276556,
      0.26400712988084113,
      0.20995591343578607,
      0.235435179742856,
      0.20848492911286334,
      0.29852323219834426,
      0.29491183801328086,
      0.25823222074197527,
      0.24243125016105724,
      0.2235623833176672,
      0.27085261281458556,
      0.27753161194621234,
      0.20358292785404786,
      0.2137079606049218,
      0.21093486022137373,
      0.2890820644757706,
      0.26892551361288675,
      0.19394552952650593,
      0.22522846708473246,
      0.2498515990807608,
      0.28025032478941414,
      0.21430438965636833,
      0.16908919181747767,
      0.280478855542238,
      0.3071232692005429,
      0.22582859693531024,
      0.24734527238508366,
      0.2863053745606566,
      0.2866259004550416,
      0.2861223770995046,
      0.28562890044576394,
      0.16767828983995967,
      0.2540202261010795,
      0.2655153591653533,
      0.28755527492242766,
      0.22718951228706516,
      0.19915568791600613,
      0.25458245406907204,
      0.24640647137631766,
      0.2852191402719449,
      0.22978757467041375,
      0.19366778588223085,
      0.2813652773537836,
      0.23757922403897944,
      0.2742840967854395,
      0.20035217098149613,
      0.19969956557829133,
      0.28839082282846584,
      0.27385795955640413,
      0.26831108825271843,
      0.19045926509685857,
      0.2670227001667464,
      0.25140991032547144,
      0.23549008529286727,
      0.2599449941840645,
      0.18563003028550756,
      0.26557286407019987,
      0.23492404056894456,
      0.24093135743093314,
      0.25324559927479207,
      0.19857968014821337,
      0.2720214974596272,
      0.21500022691844972,
      0.27095331651151766,
      0.23375727121592524,
      0.19288752845088283,
      0.28031802052995425,
      0.20190140950649363,
      0.2592087578424365,
      0.20246999420331127,
      0.20211965560619177,
      0.22247151085669759,
      0.27878137667910946,
      0.28382053651871436,
      0.2233292324548118,
      0.23024874588757205,
      0.19107181470360526,
      0.2592884883139897,
      0.3042750825097175,
      0.18694397972053314,
      0.22884008228577013,
      0.21955023641645688,
      0.295202256083132,
      0.2965740468099166,
      0.2715303514064785,
      0.23391540337571134,
      0.2156715085465895,
      0.2831305430640932,
      0.294414920333825,
      0.19921638514545362,
      0.22958291169197884,
      0.2427649151376423,
      0.2876593614222477,
      0.24012915485793723,
      0.17844895494140106,
      0.22716588001355267,
      0.2820264812822998,
      0.274738808735767,
      0.22015325431118157,
      0.21949777696978048,
      0.2593048738649611,
      0.3063968474423309,
      0.25834823967509307,
      0.22487200833941187,
      0.29579443407289413,
      0.310178681798853,
      0.28314150545747596,
      0.3109483826050061,
      0.2035483173057952,
      0.20035122350934242,
      0.22310883565656023,
      0.27585223077188276,
      0.2817162917661722,
      0.2304997981954579,
      0.21007685412426144,
      0.20886985059990115,
      0.2687071194866195,
      0.21613826584803245,
      0.17688190053161887,
      0.2350458503812634,
      0.26878163846637404,
      0.27661313503896706,
      0.28886433542650286,
      0.2353219832362364,
      0.21140685168198753,
      0.28774607991168544,
      0.2814276893915658,
      0.1773343042556256,
      0.2778567568153748,
      0.2696835340389593,
      0.28765059200158133,
      0.2680387723315094,
      0.20758598016538846,
      0.2690247702149871,
      0.22524162952071058,
      0.2685857466663823,
      0.22945754829020315,
      0.16948201874568364,
      0.2702251581147097,
      0.22735893376558672,
      0.26567864546097036,
      0.17547510941301256,
      0.19380455834803384,
      0.269592996311283,
      0.20972035534895797,
      0.24037891423454535,
      0.17433140219586474,
      0.19173649062352385,
      0.17941686790246872,
      0.3087979432358879,
      0.2648987937716083,
      0.1886449343402041,
      0.2239303255327656,
      0.224706391563623,
      0.2697160894613396,
      0.2788287407818576,
      0.20739931992029365,
      0.23457943229781766,
      0.21779427294239428,
      0.3067314609623758,
      0.2710805925665952,
      0.26928798460012215,
      0.23001999127090966,
      0.23073853390855517,
      0.29202348549355805,
      0.21111047493795915,
      0.1691262904616227,
      0.22581352252451045,
      0.27858186125321255,
      0.26503572751594295,
      0.20572885866856092,
      0.22572530476807165,
      0.20389056838021188,
      0.3086050327220176,
      0.27453157856947785,
      0.1730583224787986,
      0.23863770988803507,
      0.2959437389342573,
      0.3196400984867032,
      0.23666528245865223,
      0.2515894683456457,
      0.2857454662717608,
      0.2918023581765314,
      0.29782832145151994,
      0.26161343576860346,
      0.12655613117804568,
      0.17234436048367605,
      0.18111781783010783,
      0.22811601165281206,
      0.14275898286668923,
      0.11528133475703344,
      0.17428848070550323,
      0.15227696213391645,
      0.2512923861630726,
      0.13551428929690656,
      0.20242818239654367,
      0.17106550746351903,
      0.1809060757495578,
      0.2676943194106658,
      0.20474914112448991,
      0.2155828604237992,
      0.10893364437886609,
      0.16890489726200758,
      0.26575586128891715,
      0.20700990230766542,
      0.27252699346548737,
      0.22051376841932152,
      0.27293745880225295,
      0.23557909611123187,
      0.19533576898018146,
      0.2677524792755088,
      0.2169274444546043,
      0.2610500736367119,
      0.20913809591290755,
      0.20106764272483882,
      0.26799512211058196,
      0.20446346155251113,
      0.2673410767196336,
      0.1802971035344186,
      0.27427998037640583,
      0.25989434603148376,
      0.15483972184511416,
      0.2750510450322668,
      0.1857392619826584,
      0.20742848063267413,
      0.21771912669348323,
      0.27647939709473013,
      0.2759546346341663,
      0.2117702298367061,
      0.20764406197026353,
      0.2209641802740658,
      0.28269378028163045,
      0.2689389328760129,
      0.21499370657240754,
      0.23402841660544524,
      0.26128765037618007,
      0.29623543962785504,
      0.35135658721545493,
      0.2014687786815746,
      0.2472664294794383,
      0.2959974882511545,
      0.28657420475585144,
      0.21414233728860524,
      0.21895451215415898,
      0.2011788397135979,
      0.31834551863343136,
      0.2944909585301553,
      0.18009844954348384,
      0.2354033580134334,
      0.2286525213697617,
      0.26984971346811804,
      0.2919553690699585,
      0.21065321640252624,
      0.22915189642933761,
      0.32147366580100245,
      0.25469415454108657,
      0.24980729616717925,
      0.2813391614000605,
      0.32088882167998617,
      0.38048237767938803,
      0.2931695264371195,
      0.26468962605498275,
      0.17309979887354687,
      0.25002214516177756,
      0.17836345524115776,
      0.22977249154408805,
      0.14049727685693764,
      0.23117881558507025,
      0.23363216712110013,
      0.1809151140947267,
      0.2625977774224388,
      0.13734952430950556,
      0.275795899016282,
      0.18330582859198188,
      0.19653431745111946,
      0.26284618023866196,
      0.14671750827204516,
      0.28910045113511806,
      0.22162823187134453,
      0.287338050387051,
      0.2201623423146049,
      0.16475624695168414,
      0.2800391687408454,
      0.19249759541380512,
      0.2705663212753808,
      0.14913584352111517,
      0.16679480594466273,
      0.2776813952717326,
      0.18424443632391763,
      0.26115100191997664,
      0.1464541658103979,
      0.26260179303634845,
      0.2650503592932558,
      0.17496145238190247,
      0.06676159568283244,
      0.07928946074961345,
      0.10345321425686081,
      0.10412246367266527,
      0.15032797286418365,
      0.44808358912111634
    ]
  },
  "energy": {
    "average_loudness_lufs": -18.1175103938517,
    "peak_loudness": 0.971816666653548,
    "dynamic_range_score": 0.944484949111938,
    "rms_level": 0.913114536308597,
    "energy_curve": [
      0,
      0.485060018651626,
      0.835072377148797,
      0.91872428445255,
      0.280266537385828,
      0.626241459566004,
      0.505183949190028,
      0.777111670550178,
      0.858011778663186,
      0.0596565919763902,
      0.772515296936035,
      0.743360968197093,
      0.440960547503303,
      0.90878293093513,
      0.35741273094626,
      0.810328427483054,
      0.864701243007884,
      0.744262527017032,
      0.847907430985395,
      0.772787262411678,
      0.899394147536334,
      0.498638096977683,
      0.944459732841043,
      0.744135716382195,
      0.8073990204755,
      0.724833712858312,
      0.624823514152976,
      0.784522813909194,
      0.68319595561308,
      0.248020733104033,
      0.661347613615148,
      0.69801347395953,
      0.600615837994744,
      0.817772949443144,
      0.565522754893583,
      0.737611069398768,
      0.793573295368868,
      0.765052038080552,
      0.792922917534323,
      0.703511069802677,
      0.868862937478458,
      1,
      0.925417787888471,
      0.7091664426467,
      0.686751141267664,
      0.965294908074772,
      1,
      0.905494998483097,
      0.630449182846967,
      0.727758968577665,
      0.96953540689805,
      0.876109263476203,
      0.848447715534883,
      0.572946604560403,
      0.654576469870175,
      0.930172695833094,
      0.971512570100672,
      0.781538795022404,
      0.359521360958324,
      0.788705012377571,
      1,
      1,
      0.960769485024845,
      0.889050820294549,
      1,
      1,
      1,
      0.980821539373959,
      0.890408964718089,
      1,
      1,
      1,
      0.926414489746094,
      0.878158092498779,
      1,
      1,
      1,
      0.861962879405302,
      0.820498270146987,
      1,
      1,
      1,
      1,
      1,
      0.91317502190085,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.930307248059441,
      1,
      1,
      1,
      1,
      0.906889410579906,
      1,
      1,
      1,
      1,
      0.919767996844123,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.862986312193029,
      0.87658764334286,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.989554994246539,
      1,
      1,
      1,
      1,
      0.978177084642298,
      1,
      0.998679048874799,
      0.847234164967256,
      1,
      0.972086415571325,
      1,
      1,
      0.805516691768871,
      1,
      1,
      1,
      0.931170070872587,
      0.836523532867432,
      1,
      1,
      0.83422638388241,
      0.720280366785386,
      0.894275917726405,
      1,
      1,
      1,
      1,
      1,
      0.986457712510053,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.975304379182703,
      1,
      1,
      1,
      0.806831584257238,
      0.924852988299201,
      1,
      1,
      0.968456576852238,
      0.945231073042926,
      0.452238363378188,
      1,
      0.99704086079317,
      0.912403190837187,
      0.893557043636546,
      0.38241190068862,
      1,
      1,
      0.77872999976663,
      0.769916001488181,
      0.294624721302706,
      1,
      0.953670361462761,
      0.946639523786657,
      0.653607648961684,
      0.296595966114717,
      1,
      1,
      0.982058777528651,
      0.912570139941047,
      1,
      1,
      1,
      1,
      0.922904210932114,
      0.979900219861199,
      1,
      1,
      0.990611567216761,
      0.964762112673591,
      0.953439305810367,
      1,
      1,
      1,
      0.789161710178151,
      0.975928194382611,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.931502594667323,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.951865911483765,
      1,
      1,
      0.931632855359246,
      0.713144077974207,
      0.910809573005227,
      0.800150113947251,
      1,
      1,
      1,
      1,
      0.824879449956557,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.949097745558795,
      1,
      1,
      0.946778367547428,
      0.964393363279455,
      0.877341494840734,
      1,
      1,
      0.975011965807746,
      0.900211334228516,
      0.99681544303894,
      1,
      0.996280417722814,
      0.926354268017937,
      1,
      0.980667086208568,
      0.954600404290592,
      0.74720994163962,
      0.822360908283907,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.918536999646355,
      0.898042706882252,
      0.904454034917495,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.954551991294412,
      0.888831699595732,
      1,
      1,
      1,
      0.981575755512013,
      0.891824049108169,
      1,
      1,
      1,
      0.92780735913445,
      0.873201398288502,
      1,
      1,
      1,
      0.543075617621927,
      0.430695758146398,
      0.916416448705337,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.913740831262925,
      0.979459510130041,
      1,
      1,
      1,
      0.982339017531451,
      1,
      1,
      1,
      1,
      0.939100686241599,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.596908737631405,
      0.514486649457146,
      0.886263005873736,
      0.891012388117173,
      0.908166885375977,
      0.797844522139605,
      0.451822841868681,
      0.820082131554099,
      0.925850756028119,
      0.935675789328182,
      0.750436614541447,
      0.696947322172277,
      0.914879350101247,
      0.858787592719583,
      0.90155346253339,
      0.739867995767032,
      0.41458444034352,
      0.784960241878734,
      0.866637959199793,
      0.765279124764835,
      0.418991481556612,
      0.420562239254222,
      0.986691643210018,
      1,
      0.934313465567196,
      0.720855768989114,
      0.233927109662224,
      0.964931291692397,
      0.969736155341653,
      0.78276112500359,
      0.73438060984892,
      0.606315107906566,
      0.962890064015108,
      0.979542129180011,
      0.797406420988195,
      0.657584863550523,
      0.191046658684226,
      0.894005943747128,
      0.907777028925279,
      0.422826542573817,
      0.0515298282398897,
      0,
      0
    ],
    "energy_mean": 0.913114536308597,
    "energy_std": 0.175704766425067,
    "energy_peak_position": 0.0866807610993657,
    "aggressiveness_index": 0.264387901870291,
    "smoothness_index": 0.744645424847919,
    "urgency_index": 0.311672445875773,
    "analyzed_at": "2026-03-22T16:23:20.410702+00:00",
    "danceability": 0.9907,
    "integrated_loudness_lufs": -18.12,
    "dynamic_range_db": 64.38,
    "waveform_peaks_max": [
      0.295862800888251,
      0.178013374734228,
      0.207222958585353,
      0.102476130494919,
      0.145267614990245,
      0.186181882194515,
      0.185587318325402,
      0.206078529648994,
      0.158023105314286,
      0.0649795283859862,
      0.0461057210631891,
      0.17160653443125,
      0.234272136451841,
      0.136540553034886,
      0.161450807781934,
      0.125863364434213,
      0.121316109827045,
      0.150107614254558,
      0.120046959920369,
      0.111301881242771,
      0.0345594542836261,
      0.216800850319404,
      0.12441562391878,
      0.123972053902181,
      0.143619560296489,
      0.0870245646593311,
      0.132916712609768,
      0.197146483850496,
      0.151935366797181,
      0.157577681874023,
      0.0806211904993085,
      0.0872983297767499,
      0.164970387108349,
      0.127365624489888,
      0.178325941396403,
      0.182210476691544,
      0.117413798514037,
      0.237806543167567,
      0.18544600078864,
      0.235570495834052,
      0.177094894991804,
      0.129254467802108,
      0.117757355864098,
      0.254699320412499,
      0.163782799878102,
      0.0836218172174436,
      0.141210181744744,
      0.162374907971443,
      0.158884995458869,
      0.158617332197279,
      0.111793002408046,
      0.163089499075622,
      0.147747291253813,
      0.20633138959171,
      0.098890778698873,
      0.193076858928557,
      0.110562389271316,
      0.144427616908289,
      0.142480691631122,
      0.129733613924879,
      0.119568030431532,
      0.0916780902467071,
      0.249812323619566,
      0.151349456250238,
      0.148899470870948,
      0.219965246274594,
      0.139541931954183,
      0.103257625379276,
      0.0760005631819666,
      0.165037892649458,
      0.168621054035719,
      0.149907998118913,
      0.081846574333558,
      0.0801643396189877,
      0.17461397910072,
      0.1754947645385,
      0.155798250734066,
      0.219645253882545,
      0.146363566066096,
      0.172314542270856,
      0.141139595187674,
      0.18795009651074,
      0.11283841760101,
      0.118680505271338,
      0.10734744539802,
      0.151487644630165,
      0.184236172474426,
      0.14086853799444,
      0.393481469884333,
      0.520409169742803,
      0.119885820378578,
      0.13914959586315,
      0.0589796951055106,
      0.0452959975736133,
      0.439547809571128,
      0.228262301904712,
      0.132563755753983,
      0.197020414935696,
      0.175102801539243,
      0.47535643616622,
      0.151098245132469,
      0.166047009623134,
      0.0898846681651312,
      0.0449171619890408,
      0.599014792963337,
      0.23155157528806,
      0.153385165334993,
      0.219671249954714,
      0.19826076456427,
      0.418186403802122,
      0.36786739555375,
      0.133089237468351,
      0.125427593239264,
      0.0633498755414648,
      0.386317963352962,
      0.390790491287862,
      0.160959819004064,
      0.15192945750485,
      0.208045036226818,
      0.14152608216247,
      0.43778022108627,
      0.110574304137727,
      0.0926632451001574,
      0.0617385282644289,
      0.042778630014205,
      0.642112140504079,
      0.175120168359678,
      0.159301678797124,
      0.264755876860578,
      0.17417547591115,
      0.531746393801755,
      0.190741617323367,
      0.229185932720696,
      0.17781722474154,
      0.156203885741649,
      0.56105845753923,
      0.32526556203307,
      0.33261243715498,
      0.214351298207984,
      0.237041199546567,
      0.383608089463295,
      0.490796081117787,
      0.204843619939225,
      0.226006179826577,
      0.196429918970468,
      0.163514799630391,
      0.483825571351833,
      0.243228818342807,
      0.230017301550918,
      0.21728948019443,
      0.259149438770372,
      0.601289256714614,
      0.148384905099847,
      0.195102049232258,
      0.179263725629457,
      0.146235944608097,
      0.518248992427321,
      0.233979776921691,
      0.180036025606806,
      0.268600310807355,
      0.154290671111771,
      0.487949366792676,
      0.212887334217883,
      0.134727591775918,
      0.112343144285319,
      0.122152641766045,
      0.400350883814075,
      0.47109462083851,
      0.197502714285739,
      0.796099151883097,
      0.513154917663213,
      0.80990085172453,
      0.853271831995286,
      0.750842108435617,
      0.405689803065313,
      0.386083806139945,
      0.302060601479424,
      0.440380646698019,
      0.160117377772733,
      0.743145682424785,
      0.675124023001673,
      0.782961218417708,
      0.798674303535792,
      0.765012663656601,
      0.660213012991746,
      0.491971488706814,
      0.417961730341359,
      0.587250607489449,
      0.266273301291685,
      0.363868164625383,
      0.735562868877506,
      0.527466814491397,
      0.780674045475594,
      0.695962474452217,
      0.809276079456739,
      0.325909012960124,
      0.280231747820122,
      0.27762251242836,
      0.496251212439796,
      0.167889565484631,
      0.352286072008862,
      0.32926931820363,
      0.733606760728549,
      0.752474180359076,
      0.789277445559872,
      0.585350294613907,
      0.287530169151961,
      0.246860108568236,
      0.577727909267881,
      0.191205430577646,
      0.206484501642697,
      0.755670349291361,
      0.718369451872029,
      0.800814165402283,
      0.783253048398241,
      0.8040117785608,
      0.351115045239404,
      0.292532992888669,
      0.522264663464291,
      0.443483807460988,
      0.156253494912704,
      0.744566801036681,
      0.556621024301758,
      0.787851849846657,
      0.891250938052979,
      0.777565011525949,
      0.454860170050817,
      0.365216759010016,
      0.261635746439387,
      0.49681609745985,
      0.180363840890943,
      0.757179373139887,
      0.695867829493172,
      0.810275965417751,
      0.706260577737531,
      0.408632317730454,
      0.312961500723372,
      0.252703857098731,
      0.277000291626911,
      0.820590532882106,
      0.571352902118091,
      0.336077184025469,
      0.272554939215602,
      0.360625708242375,
      0.518608701040738,
      0.411887459233863,
      0.212196416388684,
      0.24829179410206,
      0.229940998265015,
      0.373838837753556,
      0.527907592337282,
      0.192432421113579,
      0.767732237932457,
      0.666837101025613,
      0.792752302013982,
      0.854422784020125,
      0.765729962684963,
      0.37975978017613,
      0.302527038411357,
      0.252535652883624,
      0.448509137056472,
      0.153589836262448,
      0.639537518401002,
      0.807017550334885,
      0.769644778590093,
      0.790285467328656,
      0.769881920537323,
      0.667873718473783,
      0.590102665451617,
      0.367563289650249,
      0.67950542026136,
      0.467910583406571,
      0.223971626122807,
      0.78111944484542,
      0.62051936969277,
      0.798678828777985,
      0.692128487075182,
      0.810272788120042,
      0.3342515376461,
      0.327021163440206,
      0.283619782207275,
      0.405489103759995,
      0.23540224347807,
      0.239400006109768,
      0.30393352219744,
      0.773699106749196,
      0.735465816874742,
      0.787434372183976,
      0.617904020409962,
      0.300091206449136,
      0.210065051386523,
      0.559401015374969,
      0.263764680327392,
      0.130693819770178,
      0.201729820043016,
      0.178552275717332,
      0.505322108555244,
      0.428843108460743,
      0.143870554780323,
      0.155236314342568,
      0.208614133573381,
      0.380569509683315,
      0.566731474458713,
      0.17066966487481,
      0.172687874751725,
      0.294112422765986,
      0.16807542536542,
      0.506389006613402,
      0.162785068221219,
      0.244549587302044,
      0.202611664580032,
      0.194949346378703,
      0.484705490253874,
      0.191809466163795,
      0.156627681894094,
      0.245929232550657,
      0.183374318435499,
      0.609023521452713,
      0.19359174965056,
      0.209242203491067,
      0.164074148449891,
      0.126157890303711,
      0.476902287783653,
      0.292154894461235,
      0.164199940554664,
      0.243524571804601,
      0.238866845925935,
      0.455741966446959,
      0.533455105997238,
      0.168442980941362,
      0.179712230085681,
      0.228429543302331,
      0.190408711141764,
      0.71308945705104,
      0.32685406646521,
      0.786718421100096,
      0.677141895892468,
      0.808802854661517,
      0.855436823398207,
      0.803057530148706,
      0.428405604194316,
      0.343385835293115,
      0.22357246606283,
      0.459116112191852,
      0.369308011219773,
      0.196782237959667,
      0.746113567330728,
      0.469110350278037,
      0.814090359458911,
      0.780951818320805,
      0.647378896584612,
      0.548480883851703,
      0.330188399706984,
      0.601898960888722,
      0.419952355497251,
      0.248906938194974,
      0.767814703250281,
      0.514927127672012,
      0.778614097460585,
      0.770833858187446,
      0.811519059076166,
      0.334307742116947,
      0.246228572507593,
      0.257481261191123,
      0.43211447343882,
      0.241396985861079,
      0.233955802766246,
      0.30113379336573,
      0.676297697519222,
      0.664953300469986,
      0.79392992408323,
      0.622867007573114,
      0.453096288413287,
      0.22332692353302,
      0.583083244557286,
      0.374517936998092,
      0.240643292331681,
      0.748523932770397,
      0.566760070138098,
      0.846259150823369,
      0.815943397995805,
      0.803255389142435,
      0.404427308634521,
      0.261976824534417,
      0.217086060929709,
      0.567762074297584,
      0.290718418910409,
      0.771084864706499,
      0.736956884177123,
      0.779332263024687,
      0.835468277547832,
      0.797659205058474,
      0.49939601505911,
      0.418315950895096,
      0.289347077962628,
      0.544735716387912,
      0.258966046109396,
      0.23835900784203,
      0.808241243220921,
      0.540629299802723,
      0.804926310751525,
      0.406407198375424,
      0.260700513672676,
      0.244151991820484,
      0.198195256869448,
      0.848778362780028,
      0.788084996101312,
      0.395688391988844,
      0.303629344082627,
      0.335116556947518,
      0.38342948681932,
      0.53493115334681,
      0.208234422426655,
      0.317708287219653,
      0.222199127268762,
      0.142924165365972,
      0.490863670905426,
      0.221275929720647,
      0.202816768775357,
      0.213592020337156,
      0.223339729005607,
      0.494847520824427,
      0.16141662776112,
      0.142016866341624,
      0.132854526635279,
      0.115887865183382,
      0.44044968071189,
      0.245936261118317,
      0.176961364241473,
      0.204774056375736,
      0.199653829081618,
      0.468512488759028,
      0.297488855202412,
      0.157776214839994,
      0.165628990375615,
      0.137644206650639,
      0.345442076460796,
      0.556756059454412,
      0.160769734761548,
      0.17332316580057,
      0.22975373026365,
      0.162271284739326,
      0.442795055971137,
      0.124310724953491,
      0.1611159398597,
      0.100200066059569,
      0.149040716196399,
      0.384233102435458,
      0.253785462194015,
      0.159199451650364,
      0.18752111317908,
      0.189079577705602,
      0.449203809873873,
      0.166497740594799,
      0.0862021319789173,
      0.145349635004981,
      0.158367553270524,
      0.612493804523756,
      0.333173350552897,
      0.180877371633245,
      0.267175461277693,
      0.226014508197846,
      0.42696681788152,
      0.590040419301035,
      0.203712742659006,
      0.240420737069391,
      0.224813947001952,
      0.162006666388041,
      0.57774687677239,
      0.278804370894555,
      0.325990419178712,
      0.231897250836594,
      0.221263798220302,
      0.481671844913519,
      0.206657423663494,
      0.22245754748247,
      0.218685661833394,
      0.23132988656151,
      0.467765775656416,
      0.37089078688786,
      0.261757254006339,
      0.223110048893908,
      0.258040152672316,
      0.610900293440681,
      0.426403425228572,
      0.203084672741319,
      0.208886514640661,
      0.175076781396637,
      0.402045587015111,
      0.531013497130091,
      0.178555200275451,
      0.271778739827428,
      0.205733865058822,
      0.159883064101874,
      0.481935368059912,
      0.13058925779101,
      0.192564339144617,
      0.106098984032112,
      0.181314021399151,
      0.496418453837415,
      0.278634289185346,
      0.725296105301417,
      0.80867306686417,
      0.806081595455058,
      0.834851689228687,
      0.779069702695781,
      0.434545972722346,
      0.370435879695343,
      0.346456837951994,
      0.459510000826084,
      0.302420117529344,
      0.160802542767442,
      0.739992792138574,
      0.471826843537933,
      0.829554171129421,
      0.754868996296319,
      0.779575278158591,
      0.647558413905201,
      0.49238901451037,
      0.353207295781127,
      0.673564162389794,
      0.191642008132241,
      0.739369801083135,
      0.567678886866644,
      0.802067946334812,
      0.760801107401751,
      0.794080219893066,
      0.495828150435685,
      0.27291130203825,
      0.228939475514273,
      0.482609244019578,
      0.194098648987415,
      0.266346234716381,
      0.304043620377162,
      0.270838741114152,
      0.703346081061283,
      0.576142822837823,
      0.776507404656547,
      0.321202737009638,
      0.266380751723317,
      0.478175276925061,
      0.555617768479538,
      0.168949230376413,
      0.735665120094703,
      0.693720457650277,
      0.780063474765747,
      0.817102245124043,
      0.79533669671456,
      0.359487320985752,
      0.352753568040032,
      0.361582050782505,
      0.537487626340244,
      0.146830195561527,
      0.75538391108876,
      0.652746796642232,
      0.761460348535603,
      0.886960527045883,
      0.780137707994051,
      0.50813310235156,
      0.532964983755107,
      0.352573810015072,
      0.509691181751087,
      0.198575822516694,
      0.160855918961919,
      0.746215337139181,
      0.652990774593624,
      0.798626066379657,
      0.559527770297229,
      0.337936914143903,
      0.2233706595174,
      0.25181510434624,
      0.374700679757265,
      0.831025356250679,
      0.414351598030222,
      0.396978952549404,
      0.334845981163028,
      0.254134964942063,
      0.500949665498193,
      0.242421086681909,
      0.180077282336155,
      0.229828926309442,
      0.237122148426848,
      0.511364173417775,
      0.180667128399579,
      0.121135100139351,
      0.751491625112843,
      0.785810195363916,
      0.84502587790333,
      0.781870346204105,
      0.702499860771313,
      0.440196555994364,
      0.277607997954733,
      0.471693108188886,
      0.403912008715085,
      0.147537360935831,
      0.734797621538254,
      0.548458209499867,
      0.796101944053811,
      0.822784986500152,
      0.798234488507395,
      0.7127903096576,
      0.407419745386401,
      0.321132932741778,
      0.664052873555456,
      0.307722064589053,
      0.741618509466614,
      0.595278675983931,
      0.813801032803846,
      0.779389406242584,
      0.813397323431239,
      0.623846578085136,
      0.344569884169094,
      0.360766640652142,
      0.387531979923247,
      0.278299397192675,
      0.226577275019427,
      0.401793376974199,
      0.264164249584802,
      0.745353374783286,
      0.568989474030948,
      0.790689272983012,
      0.42912357719492,
      0.27953399398676,
      0.38400135226616,
      0.51393427027866,
      0.135092571815081,
      0.202854439009565,
      0.198823146258856,
      0.156651198711232,
      0.516527234054879,
      0.155376139512224,
      0.186465431944653,
      0.209915670253301,
      0.194667288995671,
      0.574247420331469,
      0.210309149690101,
      0.169397614480451,
      0.308000559547381,
      0.191865754881172,
      0.480577313993462,
      0.209436427848781,
      0.235953649053296,
      0.227586404028322,
      0.202891988891586,
      0.502753118934469,
      0.4072981415377,
      0.166744919914337,
      0.242929791301553,
      0.258877852027519,
      0.450815421925718,
      0.563320019536171,
      0.229409763716157,
      0.217245575716989,
      0.185320076296462,
      0.151645907754712,
      0.581509086105714,
      0.159291400720442,
      0.21336917622962,
      0.246384548940606,
      0.187236781139733,
      0.487667790818388,
      0.187165604856953,
      0.16958158483192,
      0.199258424009842,
      0.283523211613255,
      0.765122039723208,
      0.416880871429628,
      0.314767264921619,
      0.793212336209621,
      0.60449356145467,
      0.832067221054157,
      0.733017949693925,
      0.781579575322809,
      0.41483531753606,
      0.246513710906586,
      0.449163227116765,
      0.483584385571156,
      0.347457783012244,
      0.752606567763639,
      0.634483304280887,
      0.746240033407741,
      0.821558838429521,
      0.784802943849122,
      0.588288717304725,
      0.39117884372154,
      0.334625520028773,
      0.553922343165385,
      0.275216046399516,
      0.747829356234745,
      0.605539325668973,
      0.762369537089271,
      0.755984998046352,
      0.798637042499017,
      0.550414028803577,
      0.328916180819566,
      0.217565784742972,
      0.483340407619764,
      0.254785901775083,
      0.191041053562053,
      0.284892458433,
      0.209383159971272,
      0.676156404052897,
      0.712214689222558,
      0.779522515760263,
      0.460589126666337,
      0.266521347146963,
      0.165637053972075,
      0.672883739271212,
      0.365479367479795,
      0.730702951326415,
      0.679906048618006,
      0.748629842694048,
      0.797907323125063,
      0.803308440386009,
      0.467805780723031,
      0.330877103055961,
      0.250522714432454,
      0.559022291116168,
      0.310811914400255,
      0.190508001695187,
      0.761908732639641,
      0.466637834969534,
      0.864355979477588,
      0.697300887041917,
      0.811100137187252,
      0.443960931667035,
      0.295790926562792,
      0.560426319717658,
      0.496169661798585,
      0.243732805156761,
      0.792497396084104,
      0.569103519762371,
      0.796620421270956,
      0.633691627601597,
      0.35693778027823,
      0.268757683325725,
      0.206322122473391,
      0.159177499411643,
      0.864329598278424,
      0.450534423641922,
      0.305902435818983,
      0.289514367501122,
      0.341958386156237,
      0.546916209152385,
      0.230581368176107,
      0.161123329483918,
      0.315957933167826,
      0.16688391465391,
      0.510911552916791,
      0.30104254233833,
      0.202620402148734,
      0.707021540538962,
      0.566265567076398,
      0.878332719538291,
      0.793069261530944,
      0.793721666660633,
      0.388714006882502,
      0.316022754855188,
      0.359548700600595,
      0.424793786952577,
      0.245006155354728,
      0.780395743080764,
      0.561884651225455,
      0.779577300075315,
      0.719909622866284,
      0.792868802929998,
      0.715027030963357,
      0.525968333494361,
      0.328494924098245,
      0.636145416109963,
      0.226242960717248,
      0.286415876402968,
      0.783859527133765,
      0.495438931466268,
      0.77158475954613,
      0.802728920540142,
      0.561540155128344,
      0.348130816506607,
      0.246832908974207,
      0.485433380274602,
      0.43911040158645,
      0.212715086169327,
      0.202792746479038,
      0.165852339962333,
      0.7437940918619,
      0.829431989590227,
      0.793576570065231,
      0.437948040174382,
      0.22010644345917,
      0.175268081196231,
      0.569774747973945,
      0.237030030863709,
      0.232700986804918,
      0.248020640627077,
      0.165720361755201,
      0.576008509798285,
      0.176280965193328,
      0.23883841873961,
      0.17284675167242,
      0.170205177648289,
      0.50318089874427,
      0.287345235983004,
      0.273278809473319,
      0.230143815768806,
      0.228791707100343,
      0.465118027565145,
      0.506385829315693,
      0.208125359275732,
      0.219880133208678,
      0.195561674230466,
      0.454932766489393,
      0.45082389471961,
      0.241653793355495,
      0.196684066681574,
      0.230714573975535,
      0.233377438301364,
      0.613893115319556,
      0.195860099510789,
      0.17932296297539,
      0.16580330848177,
      0.119257257016929,
      0.495016254589153,
      0.196971840793439,
      0.167293449072318,
      0.247220828140016,
      0.15548141156929,
      0.500269049816113,
      0.121194108816131,
      0.0921065861520142,
      0.0288066498824567,
      0.0739382321936757,
      0.448239163032911,
      0.425806719090548,
      0.153718492749247,
      0.80092508197687,
      0.526484499949535,
      0.806070041645205,
      0.860353739744571,
      0.764255648406869,
      0.325846766809542,
      0.222352215249312,
      0.233654633456083,
      0.413117217870072,
      0.179919139563795,
      0.745651896345359,
      0.612208136575145,
      0.762041697734697,
      0.775901070343646,
      0.807013554642311,
      0.61019421123605,
      0.527307371915428,
      0.323984244520393,
      0.606272944453752,
      0.278043841360993,
      0.175753846689231,
      0.710756983546127,
      0.386481642325877,
      0.788395167754986,
      0.51340279502543,
      0.799421931315019,
      0.288460563760796,
      0.229278989030885,
      0.389023745268306,
      0.409705425961409,
      0.126363403696468,
      0.199187295867936,
      0.215327282224863,
      0.670731842186124,
      0.677920333831302,
      0.792694629246466,
      0.418180963883316,
      0.254929481932942,
      0.218564587534311,
      0.546327446258635,
      0.187784227128041,
      0.680077526412571,
      0.762200177493179,
      0.691904102459665,
      0.835827504752506,
      0.791613096362494,
      0.71627931952878,
      0.374698344924857,
      0.220128491979639,
      0.478431771503794,
      0.307526757061666,
      0.152790962522438,
      0.770699737711405,
      0.570143170085627,
      0.854706622615509,
      0.817907160543789,
      0.795922763719344,
      0.44219315061868,
      0.299432904062335,
      0.249993261095948,
      0.570868412358263,
      0.22186329652904,
      0.719444774583206,
      0.616732897358755,
      0.754948188034685,
      0.657912745731799,
      0.398204426647793,
      0.202004969210573,
      0.183810944130968,
      0.217747685036843,
      0.822370589853431,
      0.499072460242356,
      0.276012272391435,
      0.307027126996844,
      0.215725599819539,
      0.523280869181721,
      0.179733412070411,
      0.0931363796312396,
      0.162556916582281,
      0.169565132688099,
      0.456482373095028,
      0.518027159278147,
      0.170996372918835,
      0.209729605773796,
      0.199324990803901,
      0.100553504324098,
      0.523216793677912,
      0.114291309190001,
      0.103192346353608,
      0.0623794217075303,
      0.0452341636292682,
      0.474202980815913,
      0.190187888950952,
      0.141577556792408,
      0.243983643182753,
      0.138787648699073,
      0.503780060066887,
      0.129430121817526,
      0.13760372017528,
      0.0866066055879054,
      0.0785814315634957,
      0.610089167848138,
      0.273057746578135,
      0.128169902043049,
      0.204479049097494,
      0.160767460105233,
      0.406835026326099,
      0.406772539471145,
      0.110030613137621,
      0.118566411399042,
      0.0694395697815926,
      0.38825630751927,
      0.418572301051206,
      0.167333381927622,
      0.173983634526719,
      0.244114297515839,
      0.0724760855215829,
      0.459508123331983,
      0.0626869456131128,
      0.0457704048290621,
      0.063289591131514,
      0.082501236066734,
      0.609467765441554,
      0.225836844300922,
      0.188248967094152,
      0.224419721381599,
      0.122097171443533,
      0.509053122601965,
      0.135205341813332,
      0.0916822183266857,
      0.0887484352126367,
      0.0398224012174731,
      0.526674126853745,
      0.467401252955559,
      0.198038474076789,
      0.212926496819196,
      0.192890240828996,
      0.391447012462312,
      0.544850387950701,
      0.120902712103468,
      0.0913264993882328,
      0.0685627740187775,
      0.0776199981258995,
      0.442243505973288,
      0.21570552507492,
      0.137374425190576,
      0.220013964839473,
      0.133625623090768,
      0.643821093403934,
      0.0886200916415216,
      0.0793778862245686,
      0.070443162589933,
      0.0431125411365607,
      0.131080403026722,
      0.172641876146249,
      0.0685843772361586,
      0.245917028839,
      0.129430013500559,
      0.0463813305778578,
      0.0369811388463861,
      0.0271694509558751,
      0.0169680055199151,
      0.00777441636848337,
      0.00240997267520464,
      0.0000261521589212226,
      0.0000233386444988114
    ],
    "waveform_peaks_min": [
      -0.161435933987068,
      -0.15328604500995,
      -0.153279931118903,
      -0.0979344499292811,
      -0.130014674120087,
      -0.138449388580514,
      -0.162993243132605,
      -0.168089640693902,
      -0.12881765127846,
      -0.0443715200100375,
      -0.0441655402525599,
      -0.151634572314113,
      -0.171377987365418,
      -0.169264241923282,
      -0.133026427397814,
      -0.109229177631369,
      -0.132450746786679,
      -0.120884612870018,
      -0.0972360822997712,
      -0.105748207286212,
      -0.0344215685194832,
      -0.137090672577041,
      -0.105054593568048,
      -0.134434210987506,
      -0.165377239408329,
      -0.101229536323212,
      -0.120245037283353,
      -0.136849017422838,
      -0.175813061700046,
      -0.158962479931514,
      -0.103429165085254,
      -0.0797708619175069,
      -0.141803014277699,
      -0.128558942219506,
      -0.188766086066915,
      -0.154384607728237,
      -0.108971142544656,
      -0.1687839885604,
      -0.159502151168608,
      -0.20094522180758,
      -0.206628059465438,
      -0.117629615789232,
      -0.106394979933598,
      -0.245016050039734,
      -0.179249959074701,
      -0.0857515953060697,
      -0.109057013829343,
      -0.161143959583912,
      -0.133769927097062,
      -0.140320816931424,
      -0.0740620522579177,
      -0.113656284651285,
      -0.160390867815443,
      -0.154243795670656,
      -0.0993660391813569,
      -0.171094894953587,
      -0.110992987057587,
      -0.1491446420443,
      -0.133600555465751,
      -0.136307143740741,
      -0.103740058852043,
      -0.0720903103600041,
      -0.158417116036024,
      -0.105986564790519,
      -0.155559473732427,
      -0.172501065823987,
      -0.147473636188681,
      -0.102736454008484,
      -0.0738795020622432,
      -0.120726674696373,
      -0.17953307555697,
      -0.158695310113887,
      -0.0749001908986003,
      -0.082903400649071,
      -0.145913125674997,
      -0.181825736558764,
      -0.169339534250823,
      -0.147939218620094,
      -0.11950724227772,
      -0.192760671400904,
      -0.144226389788672,
      -0.215731571023282,
      -0.145047961950956,
      -0.114911991218789,
      -0.102834914131824,
      -0.119164166336403,
      -0.186100405499935,
      -0.169152819869514,
      -0.380530926507814,
      -0.490423303992293,
      -0.1097939182288,
      -0.0928870477428914,
      -0.0562995619763153,
      -0.0398603560146371,
      -0.508917583705448,
      -0.185693109632186,
      -0.125674750223685,
      -0.211733134419343,
      -0.148847420285837,
      -0.452721248666697,
      -0.137285149674345,
      -0.12565368859114,
      -0.113550194199356,
      -0.0457766438164192,
      -0.555498549339438,
      -0.257231050731817,
      -0.135506079590945,
      -0.207645637197787,
      -0.18855318304994,
      -0.502205638575825,
      -0.380100017541178,
      -0.156590687367447,
      -0.155669210855592,
      -0.0543111573182546,
      -0.385868738518941,
      -0.441856912416845,
      -0.175278926663506,
      -0.159990407951857,
      -0.21811442395324,
      -0.121181894804574,
      -0.481258388749168,
      -0.092916185007114,
      -0.0888304629803017,
      -0.065551058582025,
      -0.0383621758980659,
      -0.614266906874051,
      -0.187010797575463,
      -0.14406071296947,
      -0.265540141580532,
      -0.220692921396706,
      -0.600388277915348,
      -0.185889331836186,
      -0.173942391567907,
      -0.154289529501323,
      -0.169849502568421,
      -0.548589515470076,
      -0.27468478951554,
      -0.265472070384149,
      -0.256471845072301,
      -0.288729071223008,
      -0.417190394916817,
      -0.527043056179927,
      -0.213848540721645,
      -0.159853699903818,
      -0.139017162053031,
      -0.163048123729406,
      -0.569106722865837,
      -0.290350937281097,
      -0.207571620603418,
      -0.280876067018233,
      -0.222699288618522,
      -0.549947713959149,
      -0.147337854852473,
      -0.155564396136833,
      -0.154106870988681,
      -0.117937284117438,
      -0.624060349373169,
      -0.274996501677194,
      -0.174338362294957,
      -0.234208255246849,
      -0.182009406029768,
      -0.477726437218036,
      -0.253250763237521,
      -0.10935446425696,
      -0.125783380106738,
      -0.118634376013777,
      -0.518856459786089,
      -0.507169540415591,
      -0.186660199622523,
      -0.806347936577922,
      -0.622176500676667,
      -0.811881826370426,
      -0.845742576906082,
      -0.813598626232807,
      -0.371377853919788,
      -0.30434397302778,
      -0.227367653630428,
      -0.539433554429587,
      -0.145668618173987,
      -0.767347088602245,
      -0.682377675055652,
      -0.755451863668276,
      -0.745209218670255,
      -0.7008097567591,
      -0.636393656264058,
      -0.547796153860183,
      -0.358703950342613,
      -0.475443789518114,
      -0.27601848429955,
      -0.312917357276878,
      -0.720377385407582,
      -0.544739256477499,
      -0.824724367430578,
      -0.780598730812935,
      -0.780107549471567,
      -0.437515616505523,
      -0.333177877530409,
      -0.214085249401005,
      -0.558837696668652,
      -0.179773755858466,
      -0.283105013572777,
      -0.326994976539859,
      -0.728601194697321,
      -0.782591377885551,
      -0.782155751113226,
      -0.661338861285911,
      -0.370797250904246,
      -0.312837202721024,
      -0.642224623392403,
      -0.1795081145136,
      -0.0945479560501084,
      -0.800592598763238,
      -0.794716090367722,
      -0.804543809169404,
      -0.813031526732531,
      -0.811056788065186,
      -0.469442114849193,
      -0.302414318289299,
      -0.604786957748939,
      -0.500804546567674,
      -0.139286486174788,
      -0.822338698259469,
      -0.571901685750982,
      -0.803553118115399,
      -0.823499085895687,
      -0.808417897894803,
      -0.462545790170669,
      -0.340989769428457,
      -0.308547321263547,
      -0.50218955952378,
      -0.220767323118071,
      -0.807350470287026,
      -0.656010436745289,
      -0.813710698188379,
      -0.64922281416113,
      -0.357289354819196,
      -0.30430006855034,
      -0.27266395596097,
      -0.252132715500326,
      -0.859872501229084,
      -0.608479940504895,
      -0.310084724157525,
      -0.334934297332409,
      -0.28605342549503,
      -0.51626315902375,
      -0.410654886091821,
      -0.292254042327354,
      -0.231764143054234,
      -0.210085272289084,
      -0.494389967619138,
      -0.476792841241054,
      -0.171962008383041,
      -0.804318654299897,
      -0.720759623950213,
      -0.821682153014582,
      -0.837940674239468,
      -0.822519707947163,
      -0.39284127020162,
      -0.336080555621995,
      -0.272948925866903,
      -0.559953602136936,
      -0.205052721562443,
      -0.767811936885323,
      -0.821319844793948,
      -0.717880318253142,
      -0.756175035883313,
      -0.708890202524915,
      -0.659851211985612,
      -0.571725827136848,
      -0.403157209680895,
      -0.52021956864435,
      -0.404415925053048,
      -0.188084904729561,
      -0.751790846452913,
      -0.651188646766713,
      -0.797026370929542,
      -0.826715473995214,
      -0.802539512005186,
      -0.483595724482393,
      -0.350457659264536,
      -0.2381734987179,
      -0.511364680632275,
      -0.209897378456353,
      -0.162938843944548,
      -0.279322705424396,
      -0.792012113735168,
      -0.850995612837414,
      -0.77096949683635,
      -0.688418584537199,
      -0.377514900727484,
      -0.261952250353362,
      -0.591880148621481,
      -0.247577625965852,
      -0.182332708106931,
      -0.251049377333564,
      -0.207668961451428,
      -0.527900974702373,
      -0.302508963248344,
      -0.136240372347966,
      -0.131651319426613,
      -0.165911181881371,
      -0.411284809433172,
      -0.495494559981942,
      -0.17838007754497,
      -0.179264016210022,
      -0.278377675989747,
      -0.209525225426906,
      -0.526766438715701,
      -0.194106509720478,
      -0.187192072037966,
      -0.229354523798118,
      -0.13341969020068,
      -0.50431613450894,
      -0.16480930947797,
      -0.154397064179485,
      -0.263835521359372,
      -0.161681560763408,
      -0.471546641313884,
      -0.182032995058218,
      -0.183056217308089,
      -0.154578386782862,
      -0.105686490685248,
      -0.573357225088066,
      -0.295130098515404,
      -0.116427453909265,
      -0.25550830547145,
      -0.201086082006036,
      -0.373907464305314,
      -0.508154117578549,
      -0.126095381113639,
      -0.129719678877063,
      -0.169080415994437,
      -0.138182230798104,
      -0.572030703294339,
      -0.269483240249364,
      -0.803683483603239,
      -0.75433879851158,
      -0.808096701980894,
      -0.824498779293202,
      -0.817290935016521,
      -0.437736920105079,
      -0.345165893999759,
      -0.224256573693622,
      -0.540341106193526,
      -0.282763911407309,
      -0.157872377971901,
      -0.751795275413356,
      -0.47751962402167,
      -0.772820320893023,
      -0.676845325771128,
      -0.714924612988419,
      -0.550616775831376,
      -0.303353354185087,
      -0.508361460324533,
      -0.579099709289288,
      -0.211125115175838,
      -0.709594118390198,
      -0.650930707961749,
      -0.754601455122234,
      -0.808896418186207,
      -0.789919285502953,
      -0.506230697083301,
      -0.350086444982139,
      -0.255918610143848,
      -0.481386106488916,
      -0.270945350815801,
      -0.229954599797348,
      -0.267892689830063,
      -0.642190443371589,
      -0.81923236019879,
      -0.746864542636043,
      -0.663505393196812,
      -0.44604767181396,
      -0.273224773077139,
      -0.491276552849924,
      -0.265621331165185,
      -0.256999493126017,
      -0.782539433882088,
      -0.577669540193007,
      -0.800311744902065,
      -0.828895003942199,
      -0.810792302101306,
      -0.442262258579181,
      -0.28605754153979,
      -0.222364276273665,
      -0.662170591172691,
      -0.249734433420127,
      -0.812939481380703,
      -0.703082583720647,
      -0.757291422760342,
      -0.848843138061834,
      -0.81592748917214,
      -0.45479299119593,
      -0.327938730241337,
      -0.289081606846142,
      -0.541698004878991,
      -0.272210324501624,
      -0.167495714691374,
      -0.814330174959987,
      -0.807788985511814,
      -0.722368588253967,
      -0.378396480489691,
      -0.246271130775871,
      -0.240451308259945,
      -0.170839459474091,
      -0.83758337266977,
      -0.8249228041148,
      -0.405887302737804,
      -0.389794121345999,
      -0.346008696287647,
      -0.324820381032498,
      -0.515367786901031,
      -0.214469365437736,
      -0.339570070972355,
      -0.215806044955959,
      -0.15716244449732,
      -0.650785226239352,
      -0.198701640427223,
      -0.171857711178682,
      -0.203659741291625,
      -0.200362536699222,
      -0.462821492958282,
      -0.178483219368344,
      -0.108975571505099,
      -0.146210515926521,
      -0.133833785966936,
      -0.50664254226368,
      -0.271141380456304,
      -0.173316319496508,
      -0.226445226336304,
      -0.210302941252624,
      -0.49084708810952,
      -0.368897154662639,
      -0.138833673110306,
      -0.162436554096415,
      -0.161691899016182,
      -0.410835992061264,
      -0.484942706147734,
      -0.152969952028727,
      -0.198938409282676,
      -0.241443852737614,
      -0.209081198072,
      -0.542648979711626,
      -0.118310255541749,
      -0.160256290001095,
      -0.0860913013861797,
      -0.135310868345307,
      -0.498798516331978,
      -0.231051995099431,
      -0.143286559568457,
      -0.231212785619883,
      -0.194010083549082,
      -0.517350468812649,
      -0.177072739889687,
      -0.0866310869578504,
      -0.141990847934337,
      -0.136094096301142,
      -0.548310442821256,
      -0.454787069868381,
      -0.177351415376293,
      -0.257316091586421,
      -0.240580638718985,
      -0.401409912574591,
      -0.636062495189152,
      -0.185769725833773,
      -0.167927959567274,
      -0.200326852276082,
      -0.192447575189111,
      -0.48574136325381,
      -0.26326006941739,
      -0.278407860317988,
      -0.285338413158201,
      -0.21945738585557,
      -0.571453975619186,
      -0.223523821444581,
      -0.162746136024378,
      -0.185096463670255,
      -0.200385199015839,
      -0.523860414833345,
      -0.291575833688994,
      -0.226271774765888,
      -0.283296325407589,
      -0.33816883454158,
      -0.550376986136056,
      -0.295605417438662,
      -0.153324690096864,
      -0.182221671180158,
      -0.181568892958692,
      -0.4553134903298,
      -0.555861338968817,
      -0.188218567867296,
      -0.214901526067106,
      -0.233415038059579,
      -0.140398540373121,
      -0.463725867424511,
      -0.123759128550087,
      -0.204046817992132,
      -0.110756350589539,
      -0.17390351781184,
      -0.534114228514224,
      -0.275581076314872,
      -0.784230382094922,
      -0.809786639235367,
      -0.781793779878712,
      -0.838577770571102,
      -0.821227125469879,
      -0.558221012067758,
      -0.378463781432084,
      -0.296571845491975,
      -0.556727393299035,
      -0.321791212793461,
      -0.153883160345406,
      -0.754433010202755,
      -0.450720706490681,
      -0.728827553088687,
      -0.721309537158333,
      -0.713023963126756,
      -0.676320205113317,
      -0.381181502284276,
      -0.254250913973343,
      -0.538461638316593,
      -0.172773832018262,
      -0.730241065442431,
      -0.629255134846494,
      -0.769910975290334,
      -0.810553234519101,
      -0.722414322084634,
      -0.539334480510099,
      -0.329951452058572,
      -0.354872586643232,
      -0.523474276879889,
      -0.207048184876211,
      -0.295535661311675,
      -0.230126583071095,
      -0.284832380357085,
      -0.834887098577117,
      -0.681453081422181,
      -0.770739961147274,
      -0.397515195484517,
      -0.306041685033466,
      -0.575743568231416,
      -0.462531155344855,
      -0.136995582314908,
      -0.762196111324612,
      -0.636826779710916,
      -0.803580991681669,
      -0.831213564734414,
      -0.818929939225892,
      -0.408563550226712,
      -0.3532178162975,
      -0.259291552366881,
      -0.483517928829384,
      -0.170338000056041,
      -0.816953274923572,
      -0.713684744768588,
      -0.685930664148892,
      -0.84322442404866,
      -0.812284091516802,
      -0.476031637735251,
      -0.490242101741101,
      -0.329013210487212,
      -0.502977625637491,
      -0.304368500803281,
      -0.154267156029952,
      -0.801126914328056,
      -0.61256117941278,
      -0.808270779382677,
      -0.706369690764648,
      -0.292871328689178,
      -0.217744316910955,
      -0.193994774751027,
      -0.183486079210707,
      -0.867217161870771,
      -0.403225593792961,
      -0.390740619077317,
      -0.354883514621718,
      -0.257161463097891,
      -0.564169972479225,
      -0.208748664982174,
      -0.177639406122093,
      -0.200769050277762,
      -0.212589223588562,
      -0.528543077684943,
      -0.20230585141081,
      -0.105340478150594,
      -0.800201694863217,
      -0.646104970431473,
      -0.850630319882568,
      -0.824693364707473,
      -0.734422581791663,
      -0.424986905805498,
      -0.252419538829922,
      -0.612257795622395,
      -0.461165543161126,
      -0.125376806352105,
      -0.747012286979536,
      -0.54224088951945,
      -0.701711387195489,
      -0.733746443210902,
      -0.709052292848975,
      -0.614172069351509,
      -0.509493541126611,
      -0.308686929799269,
      -0.534092179993755,
      -0.246169914587472,
      -0.741571068370225,
      -0.696724570299515,
      -0.793996721281761,
      -0.801466837042101,
      -0.778675791726431,
      -0.59437182399799,
      -0.400785284729423,
      -0.284327454796079,
      -0.464355068652746,
      -0.260034895608287,
      -0.141840407701879,
      -0.284502037677043,
      -0.212450626011203,
      -0.799671760117968,
      -0.646495970613242,
      -0.785331797160017,
      -0.446447818761862,
      -0.328835041111107,
      -0.360567724294496,
      -0.584963941761835,
      -0.19341524286994,
      -0.190395799087529,
      -0.253461548056023,
      -0.139938819093165,
      -0.556413899925028,
      -0.16407415018521,
      -0.20152806337378,
      -0.16125367263664,
      -0.157182627558906,
      -0.554919029493571,
      -0.230420410897914,
      -0.171877256373683,
      -0.298298177247484,
      -0.209587351225302,
      -0.501881987477323,
      -0.214756333189956,
      -0.198345686802008,
      -0.209235850630968,
      -0.222644696866968,
      -0.515139358452066,
      -0.439717050550354,
      -0.146982238213378,
      -0.254497178616268,
      -0.270334780105954,
      -0.406692362580174,
      -0.456750736134616,
      -0.196433531271366,
      -0.21084979751522,
      -0.174242802659299,
      -0.127993852600736,
      -0.520185292341787,
      -0.160056023963646,
      -0.12623799845401,
      -0.194672092783211,
      -0.166302326485764,
      -0.457381381589082,
      -0.171722531603404,
      -0.167259318927698,
      -0.158764909783031,
      -0.217805528032738,
      -0.592179777423664,
      -0.285051589828605,
      -0.233304097414555,
      -0.808311602844157,
      -0.6100888085269,
      -0.839077857974232,
      -0.799335640533,
      -0.815665891660722,
      -0.351613425376813,
      -0.231292819823551,
      -0.413725744328077,
      -0.506637583753618,
      -0.237766612047583,
      -0.770849481636504,
      -0.676615356814182,
      -0.770050968953051,
      -0.842844977676744,
      -0.719462949498606,
      -0.652230655992814,
      -0.403348593727019,
      -0.32527336259004,
      -0.533231661864092,
      -0.262866493698841,
      -0.70008249256974,
      -0.740083948619544,
      -0.748857237849533,
      -0.811970501861047,
      -0.775773185846157,
      -0.581762669896865,
      -0.38610554348005,
      -0.235775794328193,
      -0.525565275758877,
      -0.307995434279578,
      -0.226510023953228,
      -0.265921128460428,
      -0.221211470825163,
      -0.770587739702463,
      -0.782973327582936,
      -0.739839344836785,
      -0.498600031506882,
      -0.300286395359657,
      -0.207312261642659,
      -0.570164377876114,
      -0.25477511995454,
      -0.783404910521813,
      -0.710537823950801,
      -0.804380563464359,
      -0.827827528193548,
      -0.812385476198261,
      -0.627702832351894,
      -0.396426248905889,
      -0.283929522328398,
      -0.638614539222142,
      -0.27424516705064,
      -0.152928430524568,
      -0.815282594018855,
      -0.540331285455151,
      -0.811925923411365,
      -0.811436908409344,
      -0.692561058637303,
      -0.422885556638517,
      -0.282755703388226,
      -0.492235567208582,
      -0.42934038135804,
      -0.23270688579735,
      -0.806881241184378,
      -0.644752837692572,
      -0.807997916906653,
      -0.654009268737906,
      -0.313065246042995,
      -0.249153132361907,
      -0.18622660680214,
      -0.162400015172756,
      -0.838152975495514,
      -0.523045726816098,
      -0.333603057732993,
      -0.387601617433367,
      -0.287541339570138,
      -0.485539508567507,
      -0.210388391304661,
      -0.175797066894531,
      -0.341240631524887,
      -0.189485611610718,
      -0.630595184225923,
      -0.271030752726963,
      -0.174386130077567,
      -0.755770893242837,
      -0.536875155801178,
      -0.853524741814196,
      -0.822690030360743,
      -0.813583221153003,
      -0.391517107310738,
      -0.28671654196927,
      -0.389285344515043,
      -0.481500922474328,
      -0.268030854139553,
      -0.757772157531968,
      -0.594938345807773,
      -0.800758781061621,
      -0.759486839195875,
      -0.748027192893357,
      -0.648720271573407,
      -0.479073563306,
      -0.338314171841354,
      -0.522895142161016,
      -0.226665470836623,
      -0.205994357065448,
      -0.662368209462049,
      -0.675737989378484,
      -0.801518588482067,
      -0.720258284884349,
      -0.665376965970346,
      -0.384713766731092,
      -0.260233741489941,
      -0.551599090373238,
      -0.403631373223167,
      -0.203242504333316,
      -0.17633120193107,
      -0.152680541127132,
      -0.754841726226298,
      -0.80193794363885,
      -0.771100295592059,
      -0.485745792214254,
      -0.253024067860034,
      -0.178367151720197,
      -0.546110308580033,
      -0.226141409278049,
      -0.193062972021615,
      -0.256612031298515,
      -0.187295960044893,
      -0.603518975258467,
      -0.178501849886731,
      -0.168443006747119,
      -0.146188647934331,
      -0.175361428086987,
      -0.478510315075675,
      -0.245667781197181,
      -0.243720579109986,
      -0.247452844819442,
      -0.228390887915518,
      -0.508793861658274,
      -0.50994269548464,
      -0.211760285872497,
      -0.164389509018099,
      -0.150211828947706,
      -0.390449390857714,
      -0.512287156067274,
      -0.20496818618702,
      -0.21459917730552,
      -0.255784561879118,
      -0.196784791161329,
      -0.570185222874723,
      -0.150628957589048,
      -0.15612110924346,
      -0.15500696091709,
      -0.0999681912557956,
      -0.563487960711788,
      -0.249190441539557,
      -0.17125885073653,
      -0.228127870248306,
      -0.171846301791453,
      -0.489473580822392,
      -0.104914467517927,
      -0.0779233355107297,
      -0.0390399181717057,
      -0.080571938102521,
      -0.526488425166117,
      -0.497968471375802,
      -0.127725828282588,
      -0.814369457913487,
      -0.603836705029419,
      -0.809428086002934,
      -0.853542072528976,
      -0.815912372937582,
      -0.357055510521862,
      -0.243816788647448,
      -0.173908909589771,
      -0.608470071625645,
      -0.180453143948249,
      -0.78674651303562,
      -0.680261305935862,
      -0.713039464488308,
      -0.713635448513216,
      -0.755403915357387,
      -0.616270530066027,
      -0.576359963987064,
      -0.355987601505341,
      -0.507810776862423,
      -0.2613575902025,
      -0.184124090218955,
      -0.742910973327032,
      -0.474803371466147,
      -0.818561372691587,
      -0.543705094213923,
      -0.738902571562094,
      -0.34430756627988,
      -0.261596296728147,
      -0.368574610804248,
      -0.525947851287629,
      -0.143046986507071,
      -0.164013468613046,
      -0.244523472613009,
      -0.641190509269702,
      -0.826516074493504,
      -0.732144074206939,
      -0.503222084997627,
      -0.333381513429065,
      -0.257360766317852,
      -0.456444463891767,
      -0.21174902090789,
      -0.737404234987681,
      -0.810627564029154,
      -0.805813717294852,
      -0.840992998239085,
      -0.810327068691232,
      -0.737644939359614,
      -0.397441660298891,
      -0.269268170893041,
      -0.561534259606551,
      -0.346320143674492,
      -0.132361565816878,
      -0.790548871858183,
      -0.547956655535388,
      -0.721595638374813,
      -0.819716561113372,
      -0.809715390741274,
      -0.462725307491257,
      -0.293193318927514,
      -0.213489385728283,
      -0.480161643348889,
      -0.209789976165596,
      -0.822922165657036,
      -0.580214314953965,
      -0.813820074254986,
      -0.692829251448512,
      -0.31875547332507,
      -0.225126984772971,
      -0.164892617261097,
      -0.16676967809431,
      -0.853292702799652,
      -0.570691809295895,
      -0.332310764100955,
      -0.346625645663351,
      -0.266717956213278,
      -0.507994289875585,
      -0.188843641015552,
      -0.0843115693657576,
      -0.158753909593234,
      -0.169483523606114,
      -0.486454040758232,
      -0.483251035821784,
      -0.234712410553865,
      -0.215748805456313,
      -0.193333114538237,
      -0.12156185869089,
      -0.465858460018969,
      -0.109266883971232,
      -0.0981589067561093,
      -0.0738633146932307,
      -0.0477657314731353,
      -0.516748707882814,
      -0.165533913884021,
      -0.113672580337265,
      -0.2750647172962,
      -0.140529615938858,
      -0.477689416885632,
      -0.114743016749692,
      -0.11820030178465,
      -0.0845912858987725,
      -0.0755629523338919,
      -0.579804010281566,
      -0.276357901534414,
      -0.133700315392699,
      -0.196382911141948,
      -0.180636945806658,
      -0.459415477954545,
      -0.512351327852832,
      -0.095901039571278,
      -0.0873294846754068,
      -0.0625186949924505,
      -0.283197034854167,
      -0.477203723603945,
      -0.148042216020844,
      -0.154969579528129,
      -0.237002327525819,
      -0.107586538785981,
      -0.462365887723086,
      -0.0557892867606437,
      -0.0311952694174417,
      -0.070641510745335,
      -0.0940242374952644,
      -0.552686592725634,
      -0.206630057311725,
      -0.13267037749085,
      -0.222309251254241,
      -0.137328019122986,
      -0.530723377885919,
      -0.122213517637027,
      -0.0913512094273311,
      -0.0722753638811467,
      -0.0390464442689897,
      -0.529057848054761,
      -0.430815128904004,
      -0.147790234649085,
      -0.189107657605908,
      -0.195214688578424,
      -0.241439760763291,
      -0.509430284017667,
      -0.131383608024148,
      -0.0948897803286915,
      -0.0769872121378423,
      -0.065248023812979,
      -0.617546263237276,
      -0.149833020442375,
      -0.121284567254423,
      -0.213686281904524,
      -0.131655134590908,
      -0.540410236489145,
      -0.0967062799419265,
      -0.0843100408929958,
      -0.0649622776354472,
      -0.0413340745494106,
      -0.12440850080469,
      -0.177599954675533,
      -0.0746803255076667,
      -0.233899455608096,
      -0.133219267705389,
      -0.0535973485032851,
      -0.0421528906466361,
      -0.0307855725235826,
      -0.0220800641403279,
      -0.00840783918055792,
      -0.00281735527700437,
      -0.0000353503556016225,
      -0.0000285287666687917
    ],
    "waveform_rms_envelope": [
      0.000140204720082693,
      0.000168601618497632,
      0.000124521757243201,
      0.0119819659739733,
      0.0494800955057144,
      0.0568895936012268,
      0.041069895029068,
      0.0439314395189285,
      0.0518697164952755,
      0.0508699119091034,
      0.052240427583456,
      0.0565936528146267,
      0.0568649023771286,
      0.0420699343085289,
      0.0215071626007557,
      0.0156472772359848,
      0.00706131523475051,
      0.0175245497375727,
      0.0303857531398535,
      0.0387012362480164,
      0.0377554669976234,
      0.0348812937736511,
      0.0439377129077911,
      0.0444651693105698,
      0.0399275310337543,
      0.0489720925688744,
      0.0513181649148464,
      0.049616202712059,
      0.0487845130264759,
      0.0532339923083782,
      0.0527187287807465,
      0.046347264200449,
      0.0518202967941761,
      0.0612388923764229,
      0.0608965642750263,
      0.0560520961880684,
      0.050932377576828,
      0.046329602599144,
      0.0441338941454887,
      0.040358055382967,
      0.0370291545987129,
      0.0275995712727308,
      0.0210232902318239,
      0.0165891349315643,
      0.0110648861154914,
      0.00934709887951612,
      0.0109538147225976,
      0.0138287879526615,
      0.0126602444797754,
      0.00976035557687283,
      0.0107428794726729,
      0.0192447360605001,
      0.0439210906624794,
      0.0510686859488487,
      0.0452135317027569,
      0.047979824244976,
      0.0564045123755932,
      0.0556004531681538,
      0.042086873203516,
      0.0304334796965122,
      0.0258760582655668,
      0.027166772633791,
      0.0219795554876328,
      0.0193209424614906,
      0.0414804518222809,
      0.0516123995184898,
      0.0429576598107815,
      0.0252715349197388,
      0.0165446382015944,
      0.0223486088216305,
      0.0317024998366833,
      0.0313435681164265,
      0.027914572507143,
      0.03561881929636,
      0.0401726625859737,
      0.0418643355369568,
      0.035291850566864,
      0.0348750688135624,
      0.0427081845700741,
      0.0421046167612076,
      0.0445782206952572,
      0.0467079728841782,
      0.0376348681747913,
      0.0370011068880558,
      0.0348977632820606,
      0.0337901562452316,
      0.0350549817085266,
      0.0342338867485523,
      0.0371383987367153,
      0.0294723603874445,
      0.0199431926012039,
      0.0160456467419863,
      0.0131003838032484,
      0.0111555876210332,
      0.0095229335129261,
      0.0058826794847846,
      0.0031167019624263,
      0.0194611176848412,
      0.0457176528871059,
      0.0550570860505104,
      0.0395372286438942,
      0.0219407100230455,
      0.0252902582287788,
      0.0326679423451424,
      0.0385017395019531,
      0.037783294916153,
      0.0334380157291889,
      0.0244642961770296,
      0.0172990057617426,
      0.0209013391286135,
      0.0414873138070107,
      0.0449947603046894,
      0.0418094731867313,
      0.0372947417199612,
      0.0449218489229679,
      0.0375612564384937,
      0.0292374566197395,
      0.0333686508238316,
      0.027012262493372,
      0.0155797880142927,
      0.00607470842078328,
      0.0227562915533781,
      0.0379062630236149,
      0.0346179604530334,
      0.0215738471597433,
      0.0153488898649812,
      0.0153053794056177,
      0.0458826348185539,
      0.0622134953737259,
      0.0506415776908398,
      0.029019832611084,
      0.0276165045797825,
      0.0342473760247231,
      0.0521530136466026,
      0.0535275824368,
      0.0483974926173687,
      0.0615678802132607,
      0.0587453432381153,
      0.0309914760291576,
      0.0123950522392988,
      0.0230809058994055,
      0.0268076434731483,
      0.017329677939415,
      0.00644464790821075,
      0.00724355597048998,
      0.0205311644822359,
      0.0263055413961411,
      0.0242869183421135,
      0.0272607728838921,
      0.0300013348460197,
      0.0281048323959112,
      0.0362423360347748,
      0.0425367318093777,
      0.0427616685628891,
      0.0401876792311668,
      0.0344318337738514,
      0.0338859893381596,
      0.049475871026516,
      0.0504427254199982,
      0.0463365092873573,
      0.0506389699876308,
      0.055554810911417,
      0.0435249730944633,
      0.0342644676566124,
      0.0500426068902016,
      0.0482738837599754,
      0.0321279540657997,
      0.0246884115040302,
      0.0169452596455812,
      0.031197065487504,
      0.0393115356564522,
      0.0433213599026203,
      0.0471764244139194,
      0.0454997047781944,
      0.0439858175814152,
      0.0645419433712959,
      0.0669759660959244,
      0.041992399841547,
      0.0236516818404198,
      0.0184335950762033,
      0.0196713805198669,
      0.0544543005526066,
      0.0766662135720253,
      0.074684739112854,
      0.0682335421442986,
      0.0681770220398903,
      0.0499717220664024,
      0.033123143017292,
      0.0269834194332361,
      0.0252363216131926,
      0.0312057454138994,
      0.0232099536806345,
      0.0257599595934153,
      0.0420343242585659,
      0.0469144992530346,
      0.0387970693409443,
      0.0340237617492676,
      0.0357764586806297,
      0.0341730527579784,
      0.0560160279273987,
      0.0615627318620682,
      0.0499763451516628,
      0.0558158420026302,
      0.0638224184513092,
      0.0576775334775448,
      0.0432128459215164,
      0.0330499224364758,
      0.0163047760725021,
      0.00935563538223505,
      0.00742207700386643,
      0.0210462734103203,
      0.0275553092360497,
      0.0325836539268494,
      0.0471699386835098,
      0.0466282069683075,
      0.0362425968050957,
      0.0387697778642178,
      0.0437900424003601,
      0.0471583157777786,
      0.0539866276085377,
      0.0579552911221981,
      0.0544885843992233,
      0.0544064939022064,
      0.053617425262928,
      0.0517306327819824,
      0.0498923137784004,
      0.0470525249838829,
      0.0450400784611702,
      0.0441823191940784,
      0.0429963544011116,
      0.0321962051093578,
      0.0307621005922556,
      0.0350629165768623,
      0.02866998501122,
      0.0253577996045351,
      0.0270019322633743,
      0.0304500851780176,
      0.0328907296061516,
      0.0462974384427071,
      0.0481963492929935,
      0.0457242093980312,
      0.0426022782921791,
      0.0402607768774033,
      0.0452670641243458,
      0.044819563627243,
      0.0486766211688519,
      0.0546202398836613,
      0.0533120892941952,
      0.0612835474312305,
      0.0593415088951588,
      0.0368094891309738,
      0.0250357016921043,
      0.0232789386063814,
      0.0259964223951101,
      0.0247404668480158,
      0.0252725780010223,
      0.0492915324866772,
      0.0594676248729229,
      0.0458577908575535,
      0.0230288561433554,
      0.0160695090889931,
      0.0185090973973274,
      0.0270613245666027,
      0.0358329229056835,
      0.0396863520145416,
      0.0417570322751999,
      0.040026742964983,
      0.0373536348342896,
      0.0449127815663815,
      0.041436854749918,
      0.0374297238886356,
      0.038623109459877,
      0.0368758849799633,
      0.0363666564226151,
      0.0319116003811359,
      0.0336073338985443,
      0.0392663106322289,
      0.0391832068562508,
      0.0366147272288799,
      0.0366894565522671,
      0.0340158753097057,
      0.0290588922798634,
      0.0287503730505705,
      0.0263395830988884,
      0.0181564595550299,
      0.014336571097374,
      0.0110581610351801,
      0.00722119957208633,
      0.00299650710076094,
      0.0299100484699011,
      0.0532994419336319,
      0.0546112135052681,
      0.0386110097169876,
      0.0203476157039404,
      0.0223036948591471,
      0.0288869086652994,
      0.0409662574529648,
      0.0470005162060261,
      0.041087593883276,
      0.0280544813722372,
      0.015352631919086,
      0.0283144731074572,
      0.0548130720853806,
      0.0575713478028774,
      0.0586857721209526,
      0.0528962016105652,
      0.0462260730564594,
      0.0363394729793072,
      0.0214403159916401,
      0.0246603712439537,
      0.0240829046815634,
      0.0180673003196716,
      0.00876848492771387,
      0.018924567848444,
      0.0291120372712612,
      0.0274754390120506,
      0.0254683792591095,
      0.0281119551509619,
      0.0242744982242584,
      0.0376872681081295,
      0.0491986274719238,
      0.04329614341259,
      0.0334411449730396,
      0.0234853867441416,
      0.0317584313452244,
      0.0446145422756672,
      0.0531376898288727,
      0.0551254712045193,
      0.057962317019701,
      0.0615637637674809,
      0.0431074127554893,
      0.0154501544311643,
      0.0218328554183245,
      0.0257978681474924,
      0.0193063672631979,
      0.013873259536922,
      0.0126097640022635,
      0.0182714536786079,
      0.0290330927819014,
      0.027605352923274,
      0.0214116480201483,
      0.0227099172770977,
      0.0221185069531202,
      0.0328331515192986,
      0.048574797809124,
      0.0456878431141376,
      0.0325611084699631,
      0.0248309895396233,
      0.0185537729412317,
      0.0522913411259651,
      0.0609507150948048,
      0.0468870587646961,
      0.0482116676867008,
      0.0511905290186405,
      0.0541123487055302,
      0.0424001477658749,
      0.0463301055133343,
      0.0582256130874157,
      0.049933634698391,
      0.0337372533977032,
      0.0210135672241449,
      0.0168232396245003,
      0.0305818095803261,
      0.0413767285645008,
      0.046460434794426,
      0.0452527664601803,
      0.037604458630085,
      0.0342596359550953,
      0.0585341155529022,
      0.0617728643119335,
      0.0352239347994328,
      0.0188016034662724,
      0.0204280316829681,
      0.0267323851585388,
      0.0464806891977787,
      0.0585037581622601,
      0.0672938227653503,
      0.0675117149949074,
      0.06595079600811,
      0.05278529971838,
      0.0414480678737164,
      0.0305172596126795,
      0.0181193575263023,
      0.0184445586055517,
      0.0163615550845861,
      0.0246310904622078,
      0.0361626967787743,
      0.040923684835434,
      0.0417817980051041,
      0.0363610982894897,
      0.0300591979175806,
      0.0318062417209148,
      0.0338332317769527,
      0.0347341373562813,
      0.0438815355300903,
      0.0477415658533573,
      0.0392592623829842,
      0.0483175665140152,
      0.0484349429607391,
      0.0425151139497757,
      0.0598209537565708,
      0.0726538151502609,
      0.0669843107461929,
      0.0524022057652473,
      0.0462299063801765,
      0.049360167235136,
      0.0511180497705936,
      0.0496707782149315,
      0.0444125905632973,
      0.0376760251820087,
      0.0358897410333157,
      0.0808140560984612,
      0.107975088059902,
      0.0726989582180977,
      0.0374225899577141,
      0.0343072302639484,
      0.0364672876894474,
      0.0414608158171177,
      0.0485147647559643,
      0.0494159571826458,
      0.04679149761796,
      0.0351805351674557,
      0.0355035066604614,
      0.0403884835541248,
      0.0308037213981152,
      0.0228058472275734,
      0.0210329797118902,
      0.015293775126338,
      0.015459387563169,
      0.014295213855803,
      0.0116892214864492,
      0.0138638587668538,
      0.0139561928808689,
      0.0123543702065945,
      0.0114128766581416,
      0.0884596332907677,
      0.127429723739624,
      0.112611226737499,
      0.0801316201686859,
      0.0590458177030087,
      0.0732756406068802,
      0.0832758471369743,
      0.0610377117991447,
      0.0451657027006149,
      0.0434089228510857,
      0.0441825203597546,
      0.0383743532001972,
      0.0394043140113354,
      0.0513879135251045,
      0.066137433052063,
      0.0741600543260574,
      0.0709260553121567,
      0.0644916594028473,
      0.0543616525828838,
      0.0453506670892239,
      0.0400187261402607,
      0.052949495613575,
      0.0519654043018818,
      0.039125956594944,
      0.0842989385128021,
      0.113552398979664,
      0.0774552002549171,
      0.0407236590981483,
      0.0422075428068638,
      0.0401491783559322,
      0.0432127900421619,
      0.0490200482308865,
      0.0453459471464157,
      0.0449927933514118,
      0.0513168014585972,
      0.0485929250717163,
      0.0404725782573223,
      0.030790476128459,
      0.0314184874296188,
      0.0284369215369225,
      0.0158288031816483,
      0.0115850465372205,
      0.0133484611287713,
      0.0155551992356777,
      0.0158808901906013,
      0.0121079226955771,
      0.0147037515416741,
      0.0167475193738937,
      0.0852037072181702,
      0.128314167261124,
      0.104499720036983,
      0.0802856460213661,
      0.0724225789308548,
      0.0591073036193848,
      0.0459956042468548,
      0.0418305918574333,
      0.0459684580564499,
      0.0565956123173237,
      0.0562342889606953,
      0.0462171584367752,
      0.0385909825563431,
      0.0507809184491634,
      0.0727933347225189,
      0.0843263864517212,
      0.0768130570650101,
      0.0649657696485519,
      0.0498566441237926,
      0.0405528247356415,
      0.0301291961222887,
      0.0273923221975565,
      0.0271382164210081,
      0.0312867127358913,
      0.0834674537181854,
      0.121468760073185,
      0.0900094583630562,
      0.0447160787880421,
      0.0381393060088158,
      0.0328817404806614,
      0.0283611100167036,
      0.0394532233476639,
      0.0455869659781456,
      0.0430881194770336,
      0.0467853136360645,
      0.0470081306993961,
      0.0378604345023632,
      0.0301110409200191,
      0.0277546476572752,
      0.0239170584827662,
      0.0194274391978979,
      0.0174193438142538,
      0.0180094763636589,
      0.0158061143010855,
      0.0138532519340515,
      0.0114249503239989,
      0.00942448154091835,
      0.00879458617419004,
      0.0828272700309753,
      0.123129554092884,
      0.105452239513397,
      0.0902686044573784,
      0.0697955340147018,
      0.0557091347873211,
      0.0530345626175404,
      0.0528776422142982,
      0.0467465706169605,
      0.0511339940130711,
      0.0480787679553032,
      0.0358118750154972,
      0.0322121940553188,
      0.0479751713573933,
      0.0655406713485718,
      0.0672232583165169,
      0.0606148988008499,
      0.0553511492908001,
      0.0488617606461048,
      0.0358299799263477,
      0.0387811027467251,
      0.0448936298489571,
      0.0437159053981304,
      0.0438494645059109,
      0.0867097303271294,
      0.120053589344025,
      0.0870831608772278,
      0.0374035388231277,
      0.0375801511108875,
      0.0398219898343086,
      0.0314562246203423,
      0.0263126883655787,
      0.0282126702368259,
      0.0279970671981573,
      0.0273367315530777,
      0.0284086298197508,
      0.0305077917873859,
      0.0329583510756493,
      0.0233866795897484,
      0.0141419591382146,
      0.0105829313397408,
      0.00692434469237924,
      0.00928379409015179,
      0.0119281793013215,
      0.0118865529075265,
      0.0129286451265216,
      0.0128237633034587,
      0.0123108960688114,
      0.0821372494101524,
      0.124233759939671,
      0.107136949896812,
      0.0826425850391388,
      0.0686369687318802,
      0.0575040467083454,
      0.048291377723217,
      0.0473255999386311,
      0.046826284378767,
      0.048492431640625,
      0.0574059896171093,
      0.0519799664616585,
      0.0527921281754971,
      0.0669503435492516,
      0.0811408758163452,
      0.0856247544288635,
      0.0825192034244537,
      0.0752341523766518,
      0.0638547167181969,
      0.0571714453399181,
      0.0572205446660519,
      0.0610068440437317,
      0.0560314357280731,
      0.0538176186382771,
      0.0931737348437309,
      0.129889130592346,
      0.0995811447501183,
      0.0604852177202702,
      0.0530259199440479,
      0.0536292903125286,
      0.0554297678172588,
      0.0567927062511444,
      0.0571725070476532,
      0.0545868873596191,
      0.0532125607132912,
      0.0611791163682938,
      0.0500863939523697,
      0.046404454857111,
      0.0555104836821556,
      0.0534191615879536,
      0.0513005144894123,
      0.0522277839481831,
      0.0534331202507019,
      0.0512328520417213,
      0.0497217811644077,
      0.0512081906199455,
      0.0509538799524307,
      0.047084141522646,
      0.099035307765007,
      0.145841792225838,
      0.123693563044071,
      0.0847276896238327,
      0.0797930732369423,
      0.0822070464491844,
      0.0716858580708504,
      0.0668885111808777,
      0.0716044306755066,
      0.0850748047232628,
      0.0773904919624329,
      0.0534809567034245,
      0.0518489964306355,
      0.0650013610720634,
      0.0745128095149994,
      0.0827799141407013,
      0.0825273096561432,
      0.07964688539505,
      0.0756897255778313,
      0.0703458562493324,
      0.0679440796375275,
      0.0657234787940979,
      0.0637516155838966,
      0.0596523433923721,
      0.0862549170851707,
      0.132651165127754,
      0.107920169830322,
      0.0561418905854225,
      0.0591835603117943,
      0.0661855712532997,
      0.0727472081780434,
      0.0666951537132263,
      0.0576860755681992,
      0.0582941733300686,
      0.0607574358582497,
      0.0613071620464325,
      0.05814403668046,
      0.0535684153437614,
      0.0516817010939121,
      0.0492344573140144,
      0.0508991293609142,
      0.0495605431497097,
      0.0467496328055859,
      0.048055112361908,
      0.0459924153983593,
      0.0462232120335102,
      0.0502968914806843,
      0.0542468801140785,
      0.0945655107498169,
      0.129844382405281,
      0.118139073252678,
      0.0983218178153038,
      0.0838596522808075,
      0.0819505006074905,
      0.0717179104685783,
      0.0659423694014549,
      0.0743415951728821,
      0.0748527571558952,
      0.0673816055059433,
      0.0593304485082626,
      0.0557311363518238,
      0.0668547004461288,
      0.082595095038414,
      0.0928188338875771,
      0.0918027758598328,
      0.0806574746966362,
      0.0774982497096062,
      0.0715264305472374,
      0.0758528336882591,
      0.0779399201273918,
      0.0749012231826782,
      0.0659134387969971,
      0.0897034704685211,
      0.128253132104874,
      0.102004826068878,
      0.0617230236530304,
      0.0544926151633263,
      0.0470344200730324,
      0.0469139963388443,
      0.0498646274209023,
      0.0519062876701355,
      0.0575793385505676,
      0.0594600662589073,
      0.0523773282766342,
      0.0470025129616261,
      0.0484912060201168,
      0.0545079931616783,
      0.0525337941944599,
      0.0562317557632923,
      0.0607798658311367,
      0.0498600378632545,
      0.0395020879805088,
      0.0355642326176167,
      0.0302423574030399,
      0.0322056971490383,
      0.0434434898197651,
      0.095351554453373,
      0.137215420603752,
      0.11954703181982,
      0.0861249789595604,
      0.0756509378552437,
      0.0620515719056129,
      0.0494465902447701,
      0.0531373471021652,
      0.0628853961825371,
      0.0587813779711723,
      0.0582380853593349,
      0.0583705678582191,
      0.0655832067131996,
      0.0766576603055,
      0.0826124399900436,
      0.0770427733659744,
      0.0726387277245522,
      0.061909381300211,
      0.0588591173291206,
      0.0573206208646297,
      0.0522151701152325,
      0.0494742654263973,
      0.0522527433931828,
      0.0540801510214806,
      0.0866827219724655,
      0.126657739281654,
      0.0977059453725815,
      0.0490654520690441,
      0.0427247770130634,
      0.0443431921303272,
      0.0455943904817104,
      0.0469145849347115,
      0.0423536859452724,
      0.0374219603836536,
      0.0290327817201614,
      0.0247091241180897,
      0.0337848924100399,
      0.0442696884274483,
      0.0424214974045753,
      0.0383469276130199,
      0.0348465330898762,
      0.0270109809935093,
      0.0285709016025066,
      0.0405066460371017,
      0.040181715041399,
      0.0339956171810627,
      0.0361360386013985,
      0.0370460338890553,
      0.0795112773776054,
      0.143917396664619,
      0.133270189166069,
      0.0923956483602524,
      0.0802601203322411,
      0.074451319873333,
      0.0641672685742378,
      0.0589939318597317,
      0.0535946227610111,
      0.0515395440161228,
      0.0508786849677563,
      0.0501549206674099,
      0.25927197933197,
      0.414722204208374,
      0.410692602396011,
      0.360967248678207,
      0.321598500013351,
      0.299676477909088,
      0.279583901166916,
      0.252990126609802,
      0.227286756038666,
      0.296897858381271,
      0.457823663949966,
      0.499841600656509,
      0.473212510347366,
      0.445143043994904,
      0.412870228290558,
      0.362520515918732,
      0.330749869346619,
      0.293972015380859,
      0.369956403970718,
      0.398088365793228,
      0.266432285308838,
      0.194398567080498,
      0.178826212882996,
      0.175961643457413,
      0.164871141314507,
      0.155307307839394,
      0.14416116476059,
      0.132416024804115,
      0.115330874919891,
      0.101803675293922,
      0.0935931801795959,
      0.0871785208582878,
      0.0768060982227325,
      0.0751093775033951,
      0.0712752267718315,
      0.0635598674416542,
      0.0906494557857513,
      0.132226631045341,
      0.113036558032036,
      0.0775817707180977,
      0.0585281327366829,
      0.0487924367189407,
      0.042142428457737,
      0.0375283658504486,
      0.0286083687096834,
      0.0260260179638863,
      0.0229680053889751,
      0.0223005153238773,
      0.256325423717499,
      0.365081459283829,
      0.364133179187775,
      0.326305627822876,
      0.28154131770134,
      0.246048033237457,
      0.233822792768478,
      0.208970293402672,
      0.189162820577621,
      0.276027917861938,
      0.32716566324234,
      0.317154824733734,
      0.317593514919281,
      0.317506015300751,
      0.294162839651108,
      0.266638159751892,
      0.241558775305748,
      0.214599967002869,
      0.276044070720673,
      0.349804133176804,
      0.378302991390228,
      0.371942639350891,
      0.355608284473419,
      0.325724393129349,
      0.302395612001419,
      0.271866381168365,
      0.244715392589569,
      0.220865160226822,
      0.194163084030151,
      0.173781886696815,
      0.155357927083969,
      0.145734846591949,
      0.125167816877365,
      0.108438834547997,
      0.0961254239082336,
      0.0909311175346375,
      0.112483844161034,
      0.149024948477745,
      0.12762089073658,
      0.0945842266082764,
      0.0773719549179077,
      0.0595700778067112,
      0.0536069236695766,
      0.0473570376634598,
      0.0388968624174595,
      0.033044096082449,
      0.0501291006803513,
      0.0492195077240467,
      0.240474537014961,
      0.34438169002533,
      0.330024540424347,
      0.304670572280884,
      0.259834140539169,
      0.229924008250237,
      0.216381326317787,
      0.189664453268051,
      0.174478560686111,
      0.288347184658051,
      0.401469796895981,
      0.409175992012024,
      0.356689840555191,
      0.319752395153046,
      0.251516401767731,
      0.215983644127846,
      0.192685440182686,
      0.1766507178545,
      0.305008262395859,
      0.36389496922493,
      0.313049018383026,
      0.260188698768616,
      0.209370270371437,
      0.156741693615913,
      0.150705546140671,
      0.144118845462799,
      0.136583134531975,
      0.120771087706089,
      0.107029005885124,
      0.0938845872879028,
      0.0871521607041359,
      0.0879551619291306,
      0.0798057168722153,
      0.074943020939827,
      0.0715667232871056,
      0.0682586506009102,
      0.0981432572007179,
      0.137866482138634,
      0.114965252578259,
      0.0808940231800079,
      0.0731578320264816,
      0.0550580210983753,
      0.0488505996763706,
      0.0403902791440487,
      0.0319705158472061,
      0.0272211991250515,
      0.0490221753716469,
      0.0756819844245911,
      0.071243442595005,
      0.061558436602354,
      0.0730599090456963,
      0.0915332958102226,
      0.0786662250757217,
      0.0657323524355888,
      0.0722671896219254,
      0.0686203166842461,
      0.0607444941997528,
      0.243154674768448,
      0.329052120447159,
      0.317952215671539,
      0.303885757923126,
      0.285680145025253,
      0.235221296548843,
      0.216529875993729,
      0.192219704389572,
      0.172216832637787,
      0.287345916032791,
      0.3896204829216,
      0.391932666301727,
      0.331903785467148,
      0.27367627620697,
      0.205032393336296,
      0.195509120821953,
      0.175932422280312,
      0.156610891222954,
      0.146006226539612,
      0.129387497901917,
      0.115005031228065,
      0.105664812028408,
      0.0983588397502899,
      0.0886300876736641,
      0.0836657136678696,
      0.0793596506118774,
      0.0731359273195267,
      0.0880513116717339,
      0.136635079979897,
      0.120769619941711,
      0.0861192122101784,
      0.0719785690307617,
      0.0565127693116665,
      0.0481477901339531,
      0.0423394814133644,
      0.032308503985405,
      0.0284071750938892,
      0.0243335422128439,
      0.0221172850579023,
      0.262582659721375,
      0.422467738389969,
      0.417498230934143,
      0.364589154720306,
      0.326505899429321,
      0.302031874656677,
      0.279895544052124,
      0.259109318256378,
      0.235553160309792,
      0.290678858757019,
      0.360748559236526,
      0.362215131521225,
      0.358028829097748,
      0.372942239046097,
      0.345674216747284,
      0.299228072166443,
      0.275559902191162,
      0.247588410973549,
      0.359040886163712,
      0.486714065074921,
      0.430336803197861,
      0.311800956726074,
      0.240909889340401,
      0.22449903190136,
      0.211201936006546,
      0.19174624979496,
      0.178006798028946,
      0.154674261808395,
      0.133818075060844,
      0.118060290813446,
      0.109244726598263,
      0.10269933193922,
      0.0892372503876686,
      0.07596156001091,
      0.0724118500947952,
      0.0714686438441277,
      0.0904899016022682,
      0.143215984106064,
      0.125470280647278,
      0.0800424367189407,
      0.0667590349912643,
      0.0520453974604607,
      0.0461832247674465,
      0.0404943116009235,
      0.0319230668246746,
      0.0268927440047264,
      0.0243402794003487,
      0.022187540307641,
      0.240568876266479,
      0.388241350650787,
      0.403964698314667,
      0.354259520769119,
      0.293112635612488,
      0.280205309391022,
      0.259177595376968,
      0.229514822363853,
      0.206645801663399,
      0.283607542514801,
      0.407104432582855,
      0.437176287174225,
      0.413586288690567,
      0.396700143814087,
      0.376948684453964,
      0.334671586751938,
      0.295702129602432,
      0.264362335205078,
      0.32491797208786,
      0.322227209806442,
      0.247196048498154,
      0.256321609020233,
      0.267081767320633,
      0.261436551809311,
      0.239952996373177,
      0.219913899898529,
      0.201485082507133,
      0.18002425134182,
      0.157935038208961,
      0.139413431286812,
      0.126132324337959,
      0.116112299263477,
      0.102656155824661,
      0.0894623547792435,
      0.0771804377436638,
      0.074364572763443,
      0.0945363491773605,
      0.137090459465981,
      0.123155407607555,
      0.0907815247774124,
      0.076759859919548,
      0.0680407732725143,
      0.0614767074584961,
      0.0487368702888489,
      0.0360973551869392,
      0.031354021281004,
      0.0265082810074091,
      0.0239543728530407,
      0.247039183974266,
      0.369284123182297,
      0.365674614906311,
      0.329863756895065,
      0.283047169446945,
      0.266751796007156,
      0.246378064155579,
      0.226920753717422,
      0.201274052262306,
      0.316277712583542,
      0.33987033367157,
      0.255503743886948,
      0.229468941688538,
      0.223667845129967,
      0.211130633950233,
      0.177422612905502,
      0.167184039950371,
      0.154553592205048,
      0.13255412876606,
      0.11415184289217,
      0.10710471123457,
      0.097534105181694,
      0.0928956046700478,
      0.0893363878130913,
      0.0830205157399178,
      0.0825920552015305,
      0.077709436416626,
      0.0651415213942528,
      0.0613068304955959,
      0.0643133297562599,
      0.0702418014407158,
      0.0725210085511208,
      0.0615725219249725,
      0.0574801228940487,
      0.0568184293806553,
      0.0581669807434082,
      0.22537037730217,
      0.350302189588547,
      0.346655994653702,
      0.304600477218628,
      0.258717477321625,
      0.229929700493813,
      0.204222559928894,
      0.187881797552109,
      0.166508674621582,
      0.148106545209885,
      0.135121151804924,
      0.112735331058502,
      0.103474475443363,
      0.100467801094055,
      0.0989532247185707,
      0.105953000485897,
      0.103307954967022,
      0.0850848406553268,
      0.0721926316618919,
      0.0782105475664139,
      0.0858137607574463,
      0.0723189413547516,
      0.0577912554144859,
      0.0647047460079193,
      0.0757146999239922,
      0.123710691928864,
      0.115484476089478,
      0.0637166351079941,
      0.0497606806457043,
      0.0566553100943565,
      0.0555195026099682,
      0.0480328388512135,
      0.0584831088781357,
      0.0573518872261047,
      0.0496916100382805,
      0.0503900870680809,
      0.0577045679092407,
      0.0644845813512802,
      0.0619976073503494,
      0.0503917448222637,
      0.0512475110590458,
      0.0595115013420582,
      0.0613739751279354,
      0.065125972032547,
      0.0588973760604858,
      0.0574101097881794,
      0.0553363375365734,
      0.0541550107300282,
      0.0804316177964211,
      0.143289759755135,
      0.1397645175457,
      0.0847642421722412,
      0.0744287371635437,
      0.0564618594944477,
      0.0502827763557434,
      0.0426206588745117,
      0.0411690101027489,
      0.0513385720551014,
      0.0559326633810997,
      0.0537986718118191,
      0.211377173662186,
      0.397565901279449,
      0.427963346242905,
      0.372861295938492,
      0.32508572936058,
      0.311416536569595,
      0.283434212207794,
      0.259624361991882,
      0.233365505933762,
      0.261346161365509,
      0.437817484140396,
      0.511413216590881,
      0.467891961336136,
      0.447653442621231,
      0.423069775104523,
      0.368615478277206,
      0.335353463888168,
      0.301549732685089,
      0.356139004230499,
      0.388090670108795,
      0.282711267471313,
      0.193552926182747,
      0.172122269868851,
      0.175032556056976,
      0.164187356829643,
      0.159579768776894,
      0.145982757210732,
      0.130932226777077,
      0.113010793924332,
      0.100313670933247,
      0.0922104865312576,
      0.0896774679422379,
      0.0784057974815369,
      0.0618538558483124,
      0.0525300540030003,
      0.0579271055757999,
      0.0895228236913681,
      0.132614523172379,
      0.128591269254684,
      0.0834754705429077,
      0.0627144053578377,
      0.0484489537775517,
      0.0443942919373512,
      0.0386597998440266,
      0.030796205624938,
      0.0258113630115986,
      0.0270440969616175,
      0.0318093858659267,
      0.238576203584671,
      0.356865108013153,
      0.351480931043625,
      0.329499483108521,
      0.277367532253265,
      0.25081792473793,
      0.229261338710785,
      0.218638852238655,
      0.194645375013351,
      0.262032061815262,
      0.3179931640625,
      0.312350690364838,
      0.326227426528931,
      0.320110946893692,
      0.306233435869217,
      0.274483889341354,
      0.255113303661346,
      0.223121210932732,
      0.263965845108032,
      0.346594572067261,
      0.382861912250519,
      0.387706845998764,
      0.355739027261734,
      0.339179694652557,
      0.308550953865051,
      0.282883316278458,
      0.249593734741211,
      0.223721578717232,
      0.201012924313545,
      0.173176601529121,
      0.15579979121685,
      0.143049106001854,
      0.129805311560631,
      0.112888932228088,
      0.0981288626790047,
      0.0861017853021622,
      0.103150315582752,
      0.144570901989937,
      0.144043803215027,
      0.113561205565929,
      0.104092754423618,
      0.089496836066246,
      0.0788999944925308,
      0.0661986842751503,
      0.053098663687706,
      0.0622243694961071,
      0.0616800785064697,
      0.0605516619980335,
      0.221528843045235,
      0.331525355577469,
      0.328594267368317,
      0.317361384630203,
      0.268798023462296,
      0.236060798168182,
      0.221197292208672,
      0.200175926089287,
      0.176063701510429,
      0.25132891535759,
      0.38771665096283,
      0.419382005929947,
      0.379055947065353,
      0.317984133958817,
      0.262009590864182,
      0.217872723937035,
      0.197930619120598,
      0.18754306435585,
      0.275806784629822,
      0.358319401741028,
      0.32705083489418,
      0.27636381983757,
      0.214761272072792,
      0.168498173356056,
      0.153559029102325,
      0.140328332781792,
      0.127090960741043,
      0.120567433536053,
      0.115188978612423,
      0.102143689990044,
      0.0964343398809433,
      0.0946740359067917,
      0.0847719982266426,
      0.076827734708786,
      0.07509895414114,
      0.0666382238268852,
      0.0766210481524467,
      0.121889755129814,
      0.117624029517174,
      0.10010401904583,
      0.100975856184959,
      0.0805072709918022,
      0.073253370821476,
      0.0688893646001816,
      0.062397550791502,
      0.0619235187768936,
      0.0565504059195518,
      0.052741251885891,
      0.0489285103976727,
      0.0459964796900749,
      0.0590147525072098,
      0.0812390148639679,
      0.0872815251350403,
      0.0770043954253197,
      0.0697031766176224,
      0.0713344365358353,
      0.0645051375031471,
      0.2173812687397,
      0.314179271459579,
      0.320067167282104,
      0.316692382097244,
      0.281574577093124,
      0.247991815209389,
      0.218512788414955,
      0.19988214969635,
      0.180269673466682,
      0.24523700773716,
      0.370823174715042,
      0.401567697525024,
      0.347339183092117,
      0.275543212890625,
      0.215567141771317,
      0.195228263735771,
      0.171768724918365,
      0.155952394008636,
      0.137751996517181,
      0.121230751276016,
      0.107056058943272,
      0.0936325564980507,
      0.0887218341231346,
      0.0777866467833519,
      0.0655200704932213,
      0.0573700070381165,
      0.0574481450021267,
      0.0750033184885979,
      0.127752810716629,
      0.12951186299324,
      0.093477688729763,
      0.0849538072943687,
      0.0696544870734215,
      0.0616978704929352,
      0.0536211468279362,
      0.0471926331520081,
      0.0425201877951622,
      0.0394412726163864,
      0.0420713499188423,
      0.0426481813192368,
      0.0551115870475769,
      0.0713279694318771,
      0.0716933533549309,
      0.0710134580731392,
      0.0585504397749901,
      0.0421260558068752,
      0.0340433083474636,
      0.0453033410012722,
      0.0528094805777073,
      0.0551442764699459,
      0.0540912188589573,
      0.0703840926289558,
      0.127312541007996,
      0.124723441898823,
      0.0710422545671463,
      0.0605485402047634,
      0.0553873218595982,
      0.0507036745548248,
      0.0491990633308887,
      0.0478533208370209,
      0.0452167317271233,
      0.0445006527006626,
      0.0454422347247601,
      0.043708510696888,
      0.0438078194856644,
      0.0475429482758045,
      0.0462382100522518,
      0.0498836413025856,
      0.0513264201581478,
      0.0372776724398136,
      0.030263664200902,
      0.0483737587928772,
      0.0476300045847893,
      0.0372619330883026,
      0.0422437004745007,
      0.0646178275346756,
      0.12530554831028,
      0.130942612886429,
      0.0781621187925339,
      0.0712933912873268,
      0.0713480412960052,
      0.0550285242497921,
      0.0390819571912289,
      0.0454640686511993,
      0.0522578470408916,
      0.0453581884503365,
      0.0374121032655239,
      0.0438154675066471,
      0.0540774017572403,
      0.0619817301630974,
      0.0864346846938133,
      0.0914594009518623,
      0.0726985335350037,
      0.0545762181282043,
      0.0383903309702873,
      0.0379002578556538,
      0.0563976056873798,
      0.0655717924237251,
      0.0577330887317657,
      0.0697686970233917,
      0.125437766313553,
      0.124069787561893,
      0.0735858902335167,
      0.0619173049926758,
      0.0555995181202888,
      0.0531575158238411,
      0.0561862923204899,
      0.0596235767006874,
      0.0560661442577839,
      0.0577193908393383,
      0.0620327070355415,
      0.0635630413889885,
      0.0640922337770462,
      0.0628223344683647,
      0.0602587275207043,
      0.0559215247631073,
      0.0638295859098434,
      0.0545618683099747,
      0.0434870831668377,
      0.0449294708669186,
      0.0357649140059948,
      0.019593758508563,
      0.0344158299267292,
      0.0610893368721008,
      0.120777897536755,
      0.125096678733826,
      0.0855472683906555,
      0.0747656151652336,
      0.0611939877271652,
      0.0464930310845375,
      0.0362167544662952,
      0.0471208095550537,
      0.0467826575040817,
      0.0413524433970451,
      0.0429394319653511,
      0.0532158724963665,
      0.0677757933735847,
      0.078122153878212,
      0.0877864956855774,
      0.0913018584251404,
      0.0669005438685417,
      0.0494497828185558,
      0.0546116642653942,
      0.0657953023910522,
      0.0562830083072186,
      0.0552178993821144,
      0.0533084869384766,
      0.0677501335740089,
      0.123774722218513,
      0.122200936079025,
      0.0642299726605415,
      0.0546148791909218,
      0.0553616508841515,
      0.0537752546370029,
      0.0542741008102894,
      0.0580456256866455,
      0.0565528348088264,
      0.0564259439706802,
      0.0550020076334476,
      0.0560601614415646,
      0.0514468885958195,
      0.0489683337509632,
      0.0445673577487469,
      0.0357533656060696,
      0.0379878655076027,
      0.0380154214799404,
      0.035357803106308,
      0.0381875596940517,
      0.0416276901960373,
      0.0446712113916874,
      0.0416249781847,
      0.0586758032441139,
      0.124206215143204,
      0.126672863960266,
      0.0869559645652771,
      0.0747547596693039,
      0.0608658567070961,
      0.0518535375595093,
      0.0465326011180878,
      0.0458586663007736,
      0.0411349162459373,
      0.0441526919603348,
      0.0435742735862732,
      0.0444445237517357,
      0.0549553595483303,
      0.0683304443955421,
      0.0821723714470863,
      0.0820931196212769,
      0.0637927353382111,
      0.0549205206334591,
      0.0453869700431824,
      0.0428649634122849,
      0.044274665415287,
      0.0418192781507969,
      0.0456107445061207,
      0.0613241381943226,
      0.117754459381104,
      0.117079436779022,
      0.0566750541329384,
      0.0467353984713554,
      0.0455449558794498,
      0.0415307432413101,
      0.0309686381369829,
      0.0322435647249222,
      0.0449934899806976,
      0.041270911693573,
      0.0382094904780388,
      0.0377112776041031,
      0.0313181839883327,
      0.0403298325836658,
      0.0517644174396992,
      0.0536468811333179,
      0.0541005842387676,
      0.0516400262713432,
      0.0491983406245708,
      0.0499673746526241,
      0.0454831980168819,
      0.0418671295046806,
      0.0417865253984928,
      0.0652196705341339,
      0.141925752162933,
      0.15660397708416,
      0.112431459128857,
      0.0988563820719719,
      0.0913607776165009,
      0.0899770706892014,
      0.085259884595871,
      0.0799559727311134,
      0.0788122564554214,
      0.070686511695385,
      0.0611301027238369,
      0.152320802211761,
      0.377376437187195,
      0.455205529928207,
      0.384001761674881,
      0.330133438110352,
      0.316031336784363,
      0.289691060781479,
      0.269093245267868,
      0.246491760015488,
      0.259657621383667,
      0.425507515668869,
      0.520426154136658,
      0.473987519741058,
      0.453170478343964,
      0.425736367702484,
      0.383566945791245,
      0.349318742752075,
      0.305442422628403,
      0.332993626594543,
      0.409651428461075,
      0.323089390993118,
      0.211493566632271,
      0.185423955321312,
      0.182847037911415,
      0.171596199274063,
      0.165430814027786,
      0.149905994534492,
      0.131139025092125,
      0.110010176897049,
      0.0957521125674248,
      0.0835741236805916,
      0.0832366198301315,
      0.0745315402746201,
      0.0630121305584908,
      0.0541191622614861,
      0.0456455126404762,
      0.0619294866919518,
      0.125394657254219,
      0.134576439857483,
      0.0960067361593246,
      0.0827956944704056,
      0.0819760784506798,
      0.0866828039288521,
      0.0771301761269569,
      0.0570620968937874,
      0.0471101030707359,
      0.0396370366215706,
      0.0362999811768532,
      0.153991907835007,
      0.327373325824738,
      0.360984623432159,
      0.330409049987793,
      0.282830536365509,
      0.246548682451248,
      0.232995748519897,
      0.210842028260231,
      0.196378737688065,
      0.240247592329979,
      0.304649382829666,
      0.305815935134888,
      0.325817793607712,
      0.324623197317123,
      0.300352662801743,
      0.281519085168839,
      0.255508333444595,
      0.231205388903618,
      0.260174214839935,
      0.328162848949432,
      0.374056130647659,
      0.387223601341248,
      0.363618850708008,
      0.328649997711182,
      0.316906005144119,
      0.286182671785355,
      0.257382035255432,
      0.220830902457237,
      0.198985144495964,
      0.175880774855614,
      0.154862120747566,
      0.141614153981209,
      0.123805902898312,
      0.109214045107365,
      0.0947119146585464,
      0.0896292105317116,
      0.10237392783165,
      0.144799515604973,
      0.141325369477272,
      0.102336093783379,
      0.0885978415608406,
      0.0791737958788872,
      0.0765293911099434,
      0.0664333552122116,
      0.0547307915985584,
      0.0430644936859608,
      0.03292191401124,
      0.0424568355083466,
      0.156481802463531,
      0.309097528457642,
      0.337494403123856,
      0.323508650064468,
      0.277165085077286,
      0.232658758759499,
      0.216402277350426,
      0.201847776770592,
      0.171633630990982,
      0.19206415116787,
      0.368155956268311,
      0.424322545528412,
      0.391708552837372,
      0.323613524436951,
      0.270915597677231,
      0.21772113442421,
      0.196761414408684,
      0.185642063617706,
      0.211000978946686,
      0.343563497066498,
      0.333084940910339,
      0.286782324314117,
      0.21981543302536,
      0.176658004522324,
      0.153068691492081,
      0.149063691496849,
      0.142876699566841,
      0.123004004359245,
      0.101752534508705,
      0.0849447101354599,
      0.0779520720243454,
      0.0780196785926819,
      0.0660797283053398,
      0.0538068599998951,
      0.0479785166680813,
      0.0451240912079811,
      0.0615900792181492,
      0.11589303612709,
      0.121625058352947,
      0.0931931808590889,
      0.0911399573087692,
      0.0782915279269218,
      0.0758297219872475,
      0.0661926418542862,
      0.0564453154802322,
      0.0459546148777008,
      0.0469891279935837,
      0.0572304166853428,
      0.0558701604604721,
      0.0649911239743233,
      0.0803457945585251,
      0.0892178863286972,
      0.0818075239658356,
      0.073484443128109,
      0.0710227936506271,
      0.065009206533432,
      0.0473376587033272,
      0.132372349500656,
      0.293047100305557,
      0.321817725896835,
      0.320625007152557,
      0.284276992082596,
      0.255661755800247,
      0.215377599000931,
      0.201820015907288,
      0.191566005349159,
      0.196038037538528,
      0.358891129493713,
      0.40751051902771,
      0.361191362142563,
      0.280523717403412,
      0.228058353066444,
      0.20515264570713,
      0.190059408545494,
      0.176108926534653,
      0.151493951678276,
      0.130480259656906,
      0.113924533128738,
      0.0981341898441315,
      0.0946967005729675,
      0.0851860269904137,
      0.0687010660767555,
      0.0668606236577034,
      0.0691854059696198,
      0.0772867277264595,
      0.123146191239357,
      0.131180822849274,
      0.100101143121719,
      0.0940083637833595,
      0.0875360444188118,
      0.081618919968605,
      0.0706299692392349,
      0.0771792605519295,
      0.0839850455522537,
      0.0668326169252396,
      0.0451619103550911,
      0.1513611972332,
      0.379736870527267,
      0.451841205358505,
      0.37956377863884,
      0.332107782363892,
      0.320476025342941,
      0.29069048166275,
      0.267453104257584,
      0.240998044610023,
      0.264861822128296,
      0.348721504211426,
      0.35326412320137,
      0.345826029777527,
      0.372830718755722,
      0.36092871427536,
      0.319752722978592,
      0.290421009063721,
      0.260976821184158,
      0.259286552667618,
      0.449759423732758,
      0.491043895483017,
      0.346549242734909,
      0.252529442310333,
      0.231823444366455,
      0.212623298168182,
      0.19866968691349,
      0.180279299616814,
      0.156637027859688,
      0.138068437576294,
      0.117203913629055,
      0.106834888458252,
      0.103618092834949,
      0.0992519557476044,
      0.0875861048698425,
      0.0777689814567566,
      0.0655108243227005,
      0.0783726796507835,
      0.134766697883606,
      0.143904715776443,
      0.103578664362431,
      0.090184710919857,
      0.081229105591774,
      0.0768017470836639,
      0.0670404806733131,
      0.0527639202773571,
      0.045652624219656,
      0.0412657000124454,
      0.0382381491363049,
      0.125841960310936,
      0.342744737863541,
      0.411732912063599,
      0.372111111879349,
      0.317805826663971,
      0.284765183925629,
      0.267992228269577,
      0.240194424986839,
      0.2131128013134,
      0.244311675429344,
      0.358429819345474,
      0.429571658372879,
      0.415650010108948,
      0.402635604143143,
      0.390064001083374,
      0.352566659450531,
      0.313125103712082,
      0.278283327817917,
      0.288036972284317,
      0.322093278169632,
      0.258529841899872,
      0.254174649715424,
      0.264402687549591,
      0.266953259706497,
      0.247779741883278,
      0.229843556880951,
      0.206480503082275,
      0.179049223661423,
      0.160840094089508,
      0.142256245017052,
      0.125285476446152,
      0.11615676432848,
      0.103201635181904,
      0.0874127596616745,
      0.077374741435051,
      0.0778875052928925,
      0.0943130999803543,
      0.132637560367584,
      0.133860766887665,
      0.0994380414485931,
      0.0876783728599548,
      0.0736502334475517,
      0.0772247165441513,
      0.0749329403042793,
      0.0573614239692688,
      0.0414547137916088,
      0.02964529953897,
      0.0461244359612465,
      0.12623356282711,
      0.341484189033508,
      0.392933011054993,
      0.346505105495453,
      0.288791537284851,
      0.264766275882721,
      0.250883966684341,
      0.226007834076881,
      0.204610466957092,
      0.209899380803108,
      0.329139143228531,
      0.306573033332825,
      0.235131651163101,
      0.221939966082573,
      0.218183964490891,
      0.184497430920601,
      0.164949908852577,
      0.153222233057022,
      0.141426861286163,
      0.124635048210621,
      0.107757143676281,
      0.0918271914124489,
      0.0852798745036125,
      0.0848939642310143,
      0.0853337123990059,
      0.0876996889710426,
      0.0831739529967308,
      0.0698297843337059,
      0.0538148768246174,
      0.0380349904298782,
      0.0404389686882496,
      0.049055427312851,
      0.0397848002612591,
      0.024146655574441,
      0.0231646243482828,
      0.0265891086310148,
      0.0778153240680695,
      0.308053940534592,
      0.375746101140976,
      0.324571311473846,
      0.27825653553009,
      0.23149836063385,
      0.21341373026371,
      0.196041479706764,
      0.178636461496353,
      0.157947659492493,
      0.142634376883507,
      0.136500418186188,
      0.122606009244919,
      0.110247850418091,
      0.113071829080582,
      0.120528839528561,
      0.110040843486786,
      0.0924613401293755,
      0.0828205347061157,
      0.085233636200428,
      0.0735288634896278,
      0.0510267429053783,
      0.0416219234466553,
      0.0399557836353779,
      0.0610830001533031,
      0.11590138822794,
      0.124237284064293,
      0.070913627743721,
      0.0491910725831985,
      0.0534049160778522,
      0.0669376030564308,
      0.0625573620200157,
      0.038710530847311,
      0.0304962396621704,
      0.0327573157846928,
      0.0395929887890816,
      0.0573059283196926,
      0.081925667822361,
      0.0867459028959274,
      0.078838013112545,
      0.0709435045719147,
      0.051528587937355,
      0.0481322109699249,
      0.0492340438067913,
      0.0442371591925621,
      0.0294328182935715,
      0.0242916420102119,
      0.0323688797652721,
      0.0497881881892681,
      0.121400341391563,
      0.14894725382328,
      0.110274262726307,
      0.0918624550104141,
      0.0738369226455688,
      0.0637116953730583,
      0.0592794083058834,
      0.0636389926075935,
      0.0574583001434803,
      0.0515927262604237,
      0.0601815395057201,
      0.0539086647331715,
      0.0516948848962784,
      0.070425808429718,
      0.0768401473760605,
      0.0677176341414452,
      0.053322434425354,
      0.0523351542651653,
      0.0629768371582031,
      0.0632383227348328,
      0.0544803775846958,
      0.0515267699956894,
      0.0462987162172794,
      0.0462392009794712,
      0.0958595871925354,
      0.101147308945656,
      0.0558710284531116,
      0.0464492328464985,
      0.0439545474946499,
      0.0371106453239918,
      0.0450804606080055,
      0.0491733141243458,
      0.0497010685503483,
      0.0454206056892872,
      0.0341188684105873,
      0.0384495221078396,
      0.0467106215655804,
      0.0352027229964733,
      0.0226883087307215,
      0.0195720195770264,
      0.0150440987199545,
      0.0150984702631831,
      0.0316305495798588,
      0.0305886752903461,
      0.0141068808734417,
      0.0138155417516828,
      0.0119188213720918,
      0.0320921428501606,
      0.104754157364368,
      0.131001964211464,
      0.104568459093571,
      0.0725935399532318,
      0.0655399560928345,
      0.0885356962680817,
      0.0899325758218765,
      0.0651643350720406,
      0.0510298646986485,
      0.0481204204261303,
      0.0436075069010258,
      0.0368524938821793,
      0.0441925004124641,
      0.0581659860908985,
      0.0729270204901695,
      0.0801921114325523,
      0.0750845968723297,
      0.0644999295473099,
      0.0568280890583992,
      0.0497233718633652,
      0.0470586009323597,
      0.0556364879012108,
      0.0495720505714417,
      0.0441935583949089,
      0.100774548947811,
      0.106921806931496,
      0.0614327974617481,
      0.0498390421271324,
      0.0510058999061584,
      0.0393464304506779,
      0.0459698922932148,
      0.0487150996923447,
      0.0423835888504982,
      0.0471186526119709,
      0.0523673854768276,
      0.0441774055361748,
      0.0487818159162998,
      0.0431382767856121,
      0.0304803345352411,
      0.0241107046604156,
      0.0142272124066949,
      0.0124881649389863,
      0.0318213291466236,
      0.0326272323727608,
      0.0152861066162586,
      0.012130512855947,
      0.0157547723501921,
      0.0297365598380566,
      0.105485178530216,
      0.126664042472839,
      0.095654584467411,
      0.0835452005267143,
      0.0728888064622879,
      0.0590962767601013,
      0.0486042536795139,
      0.0435476750135422,
      0.0497160851955414,
      0.0565558522939682,
      0.0533005632460117,
      0.0428706333041191,
      0.0432242937386036,
      0.0629183575510979,
      0.0824948027729988,
      0.088147759437561,
      0.075997419655323,
      0.06327223777771,
      0.0602109842002392,
      0.0483635999262333,
      0.0313581302762032,
      0.0280989725142717,
      0.0301644373685122,
      0.0403964892029762,
      0.0997379124164581,
      0.114897280931473,
      0.0689821317791939,
      0.0503021441400051,
      0.0469489395618439,
      0.0315890051424503,
      0.0306494142860174,
      0.0414608605206013,
      0.0448057278990746,
      0.041965689510107,
      0.0473684594035149,
      0.0454068779945374,
      0.043225422501564,
      0.0410174652934074,
      0.0278004128485918,
      0.0208915174007416,
      0.0182306859642267,
      0.0179747249931097,
      0.0330238826572895,
      0.0320654325187206,
      0.0136305699124932,
      0.0111569287255406,
      0.00906828697770834,
      0.0244730189442635,
      0.0992138534784317,
      0.118309639394283,
      0.0988261252641678,
      0.0884541496634483,
      0.0718302726745605,
      0.0570327900350094,
      0.0532136298716068,
      0.0510203167796135,
      0.0503113269805908,
      0.052813708782196,
      0.0471807643771172,
      0.0355295650660992,
      0.0420585982501507,
      0.0574981607496738,
      0.0710976645350456,
      0.0684592723846436,
      0.063725508749485,
      0.0583989582955837,
      0.0557480379939079,
      0.0490510873496532,
      0.0442377179861069,
      0.0458414927124977,
      0.0434705801308155,
      0.0498122461140156,
      0.101198926568031,
      0.114967919886112,
      0.0684143975377083,
      0.0442084819078445,
      0.0479511991143227,
      0.0394431352615356,
      0.028739994391799,
      0.0266695711761713,
      0.0290545839816332,
      0.026736767962575,
      0.0291369818150997,
      0.028051283210516,
      0.0396971441805363,
      0.0411889664828777,
      0.0206870604306459,
      0.011995536275208,
      0.00877357088029385,
      0.00756361754611135,
      0.0302177183330059,
      0.0311282463371754,
      0.0125129949301481,
      0.0131025314331055,
      0.0123503776267171,
      0.026344558224082,
      0.101361505687237,
      0.124487988650799,
      0.0982305631041527,
      0.0790358409285545,
      0.0696243196725845,
      0.0637373253703117,
      0.0611503273248672,
      0.0611613355576992,
      0.0537284351885319,
      0.0570055581629276,
      0.0606135278940201,
      0.0504804290831089,
      0.0556414611637592,
      0.073725551366806,
      0.0842386856675148,
      0.0810551568865776,
      0.0774949863553047,
      0.0768539011478424,
      0.0670025050640106,
      0.0620943196117878,
      0.0601861216127872,
      0.0603226870298386,
      0.0551132410764694,
      0.0572325885295868,
      0.110954307019711,
      0.126583993434906,
      0.0820135027170181,
      0.0657429844141006,
      0.06051354855299,
      0.054706159979105,
      0.0559807270765305,
      0.0565268434584141,
      0.0573646351695061,
      0.0555965043604374,
      0.0590995587408543,
      0.0570848472416401,
      0.0511996634304523,
      0.0557877235114574,
      0.0525264777243137,
      0.0512419678270817,
      0.0511514656245708,
      0.052527341991663,
      0.0591816417872906,
      0.0576841607689857,
      0.0494016148149967,
      0.0526091866195202,
      0.0488166324794292,
      0.0519755445420742,
      0.117109067738056,
      0.142912492156029,
      0.107844233512878,
      0.082027830183506,
      0.0797028094530106,
      0.0807736590504646,
      0.0716470330953598,
      0.0639611333608627,
      0.0772156789898872,
      0.0853253379464149,
      0.0693737640976906,
      0.0522366687655449,
      0.055478896945715,
      0.068981371819973,
      0.0806510075926781,
      0.0843121781945229,
      0.0819959416985512,
      0.0798879936337471,
      0.0778312161564827,
      0.0740984529256821,
      0.0682056620717049,
      0.0663404986262321,
      0.063818670809269,
      0.0584596917033195,
      0.104835398495197,
      0.133009448647499,
      0.0888207778334618,
      0.0628543421626091,
      0.0673623532056808,
      0.0688852518796921,
      0.0722217112779617,
      0.0620646998286247,
      0.0574718303978443,
      0.0590955577790737,
      0.0611619688570499,
      0.0624465420842171,
      0.0621777884662151,
      0.0592310093343258,
      0.0501919165253639,
      0.0463040135800838,
      0.0501929484307766,
      0.0492580942809582,
      0.0551188811659813,
      0.0558789968490601,
      0.0452489703893661,
      0.0466708801686764,
      0.0523827224969864,
      0.0576692186295986,
      0.109050504863262,
      0.130460798740387,
      0.111382737755775,
      0.0970187485218048,
      0.0819284617900848,
      0.0790903493762016,
      0.072066992521286,
      0.0681144073605537,
      0.0728163197636604,
      0.072142593562603,
      0.0658551901578903,
      0.055529922246933,
      0.0578519590198994,
      0.0716536343097687,
      0.0885269790887833,
      0.0939488485455513,
      0.0849719345569611,
      0.081005722284317,
      0.0814488232135773,
      0.0782608613371849,
      0.0754331201314926,
      0.076398491859436,
      0.0738509595394135,
      0.0626616179943085,
      0.107679322361946,
      0.127936318516731,
      0.0860385075211525,
      0.0642846301198006,
      0.0584936290979385,
      0.0469802394509315,
      0.0467762500047684,
      0.0490134097635746,
      0.053247407078743,
      0.0579069219529629,
      0.0586435906589031,
      0.0510368123650551,
      0.0533555559813976,
      0.0592125989496708,
      0.0569067597389221,
      0.0510756149888039,
      0.0568075738847256,
      0.0582057610154152,
      0.0534563548862934,
      0.0478567965328693,
      0.0340649262070656,
      0.0294650327414274,
      0.034770917147398,
      0.0499903745949268,
      0.112600445747375,
      0.1368727684021,
      0.103882007300854,
      0.0831065848469734,
      0.0737894028425217,
      0.0600134506821632,
      0.0459858328104019,
      0.0558633878827095,
      0.0626032873988152,
      0.0590026117861271,
      0.0559906810522079,
      0.0565957427024841,
      0.0666180327534676,
      0.0781199485063553,
      0.0815362706780434,
      0.0780185684561729,
      0.0681487619876862,
      0.061807457357645,
      0.0651360154151917,
      0.0642955750226974,
      0.0492500215768814,
      0.0514338724315166,
      0.0528748519718647,
      0.0575610101222992,
      0.102119192481041,
      0.124334499239922,
      0.0801936462521553,
      0.0526047982275486,
      0.051827747374773,
      0.0443516932427883,
      0.0471930205821991,
      0.0449568815529346,
      0.0404779277741909,
      0.035859476774931,
      0.0262058991938829,
      0.0256615709513426,
      0.0462391823530197,
      0.0528851971030235,
      0.0416688099503517,
      0.0356867127120495,
      0.0325397923588753,
      0.02840681001544,
      0.0427946113049984,
      0.0499809980392456,
      0.037288211286068,
      0.034668292850256,
      0.0362154319882393,
      0.0388307869434357,
      0.101822167634964,
      0.147102162241936,
      0.12079780548811,
      0.0856753438711166,
      0.0817637369036674,
      0.0712022632360458,
      0.0644981041550636,
      0.0557115487754345,
      0.0534243136644363,
      0.0507432483136654,
      0.051657322794199,
      0.0480355247855186,
      0.327882945537567,
      0.450455635786057,
      0.387625217437744,
      0.346341729164124,
      0.321276843547821,
      0.293154686689377,
      0.269798338413239,
      0.244235277175903,
      0.219569027423859,
      0.36771160364151,
      0.497721076011658,
      0.481254041194916,
      0.459417432546616,
      0.43330442905426,
      0.401176065206528,
      0.357237666845322,
      0.318928956985474,
      0.283832341432571,
      0.384452223777771,
      0.39018714427948,
      0.231689110398293,
      0.18377161026001,
      0.181645020842552,
      0.173980981111526,
      0.1622144728899,
      0.151788920164108,
      0.139903426170349,
      0.124962568283081,
      0.110129490494728,
      0.0997673645615578,
      0.0970853641629219,
      0.0903758108615875,
      0.077929675579071,
      0.0683283656835556,
      0.0659761279821396,
      0.0618208274245262,
      0.114868499338627,
      0.136509940028191,
      0.0998597517609596,
      0.0750352367758751,
      0.0612481385469437,
      0.0476934425532818,
      0.0418331325054169,
      0.0368468426167965,
      0.0282076857984066,
      0.0247242338955402,
      0.0219097770750523,
      0.0199387762695551,
      0.275105744600296,
      0.386010766029358,
      0.347348421812057,
      0.297007232904434,
      0.25172284245491,
      0.235090374946594,
      0.220965534448624,
      0.20466285943985,
      0.179500102996826,
      0.277980089187622,
      0.346655070781708,
      0.32141649723053,
      0.317362785339355,
      0.304878711700439,
      0.284858465194702,
      0.254553288221359,
      0.237625241279602,
      0.209598392248154,
      0.287444055080414,
      0.384329974651337,
      0.389647245407104,
      0.366111040115356,
      0.344155699014664,
      0.327753752470016,
      0.290675818920135,
      0.26850563287735,
      0.238048791885376,
      0.217329829931259,
      0.191262498497963,
      0.168931156396866,
      0.152074724435806,
      0.139593213796616,
      0.120894931256771,
      0.110184267163277,
      0.100664801895618,
      0.0884611383080482,
      0.127192676067352,
      0.143421411514282,
      0.111197628080845,
      0.0940099954605103,
      0.076587900519371,
      0.0592948868870735,
      0.0516108423471451,
      0.0450925529003143,
      0.0361944697797298,
      0.0321579910814762,
      0.0283869002014399,
      0.025279201567173,
      0.260152637958527,
      0.372522562742233,
      0.334037750959396,
      0.281520068645477,
      0.234313800930977,
      0.221252530813217,
      0.209691613912582,
      0.194068416953087,
      0.17384871840477,
      0.316182255744934,
      0.44172477722168,
      0.399130672216415,
      0.350142300128937,
      0.291662067174911,
      0.236381113529205,
      0.207039371132851,
      0.19019079208374,
      0.172894701361656,
      0.304024428129196,
      0.3798868060112,
      0.299829304218292,
      0.244010493159294,
      0.187654703855515,
      0.158288866281509,
      0.148200631141663,
      0.135497719049454,
      0.124591782689095,
      0.113875657320023,
      0.102039650082588,
      0.0908025801181793,
      0.0841414928436279,
      0.0756279453635216,
      0.0629160106182098,
      0.0686214789748192,
      0.0633011236786842,
      0.0592932812869549,
      0.108770348131657,
      0.134751662611961,
      0.103115238249302,
      0.0789235085248947,
      0.068128228187561,
      0.0564321093261242,
      0.0448447987437248,
      0.0436746962368488,
      0.0388831458985806,
      0.0358181707561016,
      0.0504869446158409,
      0.0676251128315926,
      0.0683027282357216,
      0.0702705308794975,
      0.0792850106954575,
      0.0821670591831207,
      0.0669605284929276,
      0.0684378743171692,
      0.0705843046307564,
      0.0661005973815918,
      0.0552216805517673,
      0.253851324319839,
      0.35764354467392,
      0.316750705242157,
      0.300101190805435,
      0.267258316278458,
      0.225697994232178,
      0.201017320156097,
      0.185184821486473,
      0.169619470834732,
      0.30377134680748,
      0.417852312326431,
      0.377263158559799,
      0.315323233604431,
      0.242138117551804,
      0.195508047938347,
      0.184459373354912,
      0.170644283294678,
      0.157702654600143,
      0.136250421404839,
      0.123429633677006,
      0.109025865793228,
      0.100162580609322,
      0.0898178219795227,
      0.0811407789587975,
      0.0777038633823395,
      0.0727587342262268,
      0.0647567957639694,
      0.108457565307617,
      0.132586315274239,
      0.10282638669014,
      0.0798421427607536,
      0.0659864246845245,
      0.0536825023591518,
      0.0473802462220192,
      0.0403445214033127,
      0.030995586887002,
      0.0272625964134932,
      0.0235130060464144,
      0.0201487187296152,
      0.321198135614395,
      0.445864081382751,
      0.390558898448944,
      0.349411696195602,
      0.321830451488495,
      0.292547404766083,
      0.276150345802307,
      0.255347579717636,
      0.231500267982483,
      0.319131314754486,
      0.384189009666443,
      0.351565688848495,
      0.359767079353333,
      0.367604643106461,
      0.33150178194046,
      0.294554620981216,
      0.267811506986618,
      0.233743846416473,
      0.407979011535645,
      0.503271818161011,
      0.386226743459702,
      0.280783414840698,
      0.233408361673355,
      0.21346378326416,
      0.202872410416603,
      0.186133369803429,
      0.170111179351807,
      0.148030996322632,
      0.131101474165916,
      0.114427596330643,
      0.109245829284191,
      0.103097662329674,
      0.0915832817554474,
      0.0822742432355881,
      0.0756032690405846,
      0.0699026361107826,
      0.11384217441082,
      0.143657937645912,
      0.112773887813091,
      0.0737842246890068,
      0.0560204610228539,
      0.0466958731412888,
      0.0431026965379715,
      0.0371365994215012,
      0.0297912061214447,
      0.0262673553079367,
      0.0238883476704359,
      0.0219341479241848,
      0.290544062852859,
      0.412418186664581,
      0.383671313524246,
      0.331447750329971,
      0.289245456457138,
      0.269244492053986,
      0.244818404316902,
      0.21832911670208,
      0.196504682302475,
      0.316941916942596,
      0.432448238134384,
      0.43601182103157,
      0.407645553350449,
      0.394656181335449,
      0.366131961345673,
      0.320727974176407,
      0.287789046764374,
      0.256462216377258,
      0.320374071598053,
      0.321811765432358,
      0.254379272460938,
      0.259709000587463,
      0.264128535985947,
      0.255691111087799,
      0.23688817024231,
      0.214730829000473,
      0.190445870161057,
      0.17248347401619,
      0.15498012304306,
      0.138158962130547,
      0.128396451473236,
      0.11734963953495,
      0.101268917322159,
      0.0955873429775238,
      0.0882532820105553,
      0.078028716146946,
      0.117314197123051,
      0.13950052857399,
      0.107204377651215,
      0.0816023200750351,
      0.0657161399722099,
      0.0547212436795235,
      0.0511912889778614,
      0.0481655448675156,
      0.0371896624565125,
      0.0302061326801777,
      0.0262182671576738,
      0.0233833566308022,
      0.287701338529587,
      0.401447087526321,
      0.36316505074501,
      0.307388424873352,
      0.277139186859131,
      0.256653100252151,
      0.234453424811363,
      0.217012912034988,
      0.197854772210121,
      0.318869531154633,
      0.35103964805603,
      0.253518521785736,
      0.218753054738045,
      0.21945908665657,
      0.198802322149277,
      0.172361806035042,
      0.157314822077751,
      0.144745796918869,
      0.134139657020569,
      0.117734611034393,
      0.103481508791447,
      0.0892978981137276,
      0.0840819701552391,
      0.0814332440495491,
      0.0732837840914726,
      0.0654898062348366,
      0.061548326164484,
      0.063311405479908,
      0.0664427354931831,
      0.0645447745919228,
      0.0610559098422527,
      0.0511041581630707,
      0.0491633974015713,
      0.0557262673974037,
      0.0562921017408371,
      0.0595232285559177,
      0.26955908536911,
      0.374901384115219,
      0.353912383317947,
      0.291374415159225,
      0.253936767578125,
      0.212201371788979,
      0.200117081403732,
      0.18509940803051,
      0.163086771965027,
      0.147391319274902,
      0.137185528874397,
      0.12587995827198,
      0.111462593078613,
      0.109814062714577,
      0.112350039184093,
      0.106224656105042,
      0.0992901101708412,
      0.0802961960434914,
      0.0692309886217117,
      0.0755256414413452,
      0.0702512264251709,
      0.0580444186925888,
      0.0611359141767025,
      0.047328669577837,
      0.0918184593319893,
      0.128505975008011,
      0.10053726285696,
      0.0594637729227543,
      0.0583109147846699,
      0.0533472485840321,
      0.0454015731811523,
      0.0399027541279793,
      0.0468677543103695,
      0.0451297163963318,
      0.0508058294653893,
      0.050367146730423,
      0.0434506945312023,
      0.0490120425820351,
      0.0547552891075611,
      0.0542773716151714,
      0.0608817562460899,
      0.0641401559114456,
      0.0558709353208542,
      0.0506983883678913,
      0.0547976531088352,
      0.0541971027851105,
      0.0532916411757469,
      0.0521345697343349,
      0.0971048548817635,
      0.141047224402428,
      0.110232539474964,
      0.0505576990544796,
      0.0478763766586781,
      0.0501512102782726,
      0.0478698126971722,
      0.0405219234526157,
      0.0360351726412773,
      0.0343180187046528,
      0.0301167201250792,
      0.033661026507616,
      0.289817452430725,
      0.436068564653397,
      0.411944836378098,
      0.357149660587311,
      0.316575974225998,
      0.298747926950455,
      0.274171710014343,
      0.251430690288544,
      0.228352531790733,
      0.327577620744705,
      0.469948768615723,
      0.492340415716171,
      0.464069932699203,
      0.445576965808868,
      0.411374598741531,
      0.365480661392212,
      0.334630757570267,
      0.292555302381516,
      0.384756118059158,
      0.39951092004776,
      0.254788339138031,
      0.186153188347816,
      0.182986840605736,
      0.179303616285324,
      0.171315297484398,
      0.162108018994331,
      0.142193675041199,
      0.12619511783123,
      0.109059192240238,
      0.0975321531295776,
      0.0928790047764778,
      0.0899944752454758,
      0.0787739902734756,
      0.0749275609850883,
      0.071645550429821,
      0.0623624622821808,
      0.102562703192234,
      0.136781945824623,
      0.109055384993553,
      0.0704860985279083,
      0.0558492429554462,
      0.0466800518333912,
      0.042883362621069,
      0.0375260300934315,
      0.0294266846030951,
      0.0254554376006126,
      0.0222459323704243,
      0.0205460153520107,
      0.258549362421036,
      0.377280980348587,
      0.349555760622025,
      0.302303314208984,
      0.258221089839935,
      0.236651033163071,
      0.220717161893845,
      0.209174439311028,
      0.18770931661129,
      0.27330020070076,
      0.333041965961456,
      0.32270085811615,
      0.315354824066162,
      0.308472186326981,
      0.289071917533875,
      0.26095113158226,
      0.237711012363434,
      0.213545233011246,
      0.281838148832321,
      0.37885570526123,
      0.40034693479538,
      0.370244592428207,
      0.341764092445374,
      0.325380027294159,
      0.296818137168884,
      0.26621276140213,
      0.241284742951393,
      0.21300345659256,
      0.195027589797974,
      0.169403791427612,
      0.153449714183807,
      0.138752147555351,
      0.12201289832592,
      0.107266172766685,
      0.0912322402000427,
      0.085195280611515,
      0.118183016777039,
      0.15494441986084,
      0.133652552962303,
      0.108417563140392,
      0.0930717810988426,
      0.0827460512518883,
      0.0762135535478592,
      0.0612116903066635,
      0.0607131160795689,
      0.0626231282949448,
      0.0595831833779812,
      0.0590212158858776,
      0.257123529911041,
      0.353389352560043,
      0.338583409786224,
      0.293780505657196,
      0.248975217342377,
      0.220816433429718,
      0.214722141623497,
      0.194428414106369,
      0.167441070079803,
      0.301001757383347,
      0.422385483980179,
      0.405279904603958,
      0.359801828861237,
      0.301823049783707,
      0.246201172471046,
      0.210870653390884,
      0.195455029606819,
      0.17644490301609,
      0.302623480558395,
      0.374087065458298,
      0.310223311185837,
      0.254752516746521,
      0.195967555046082,
      0.154949650168419,
      0.144882023334503,
      0.134710848331451,
      0.126674473285675,
      0.119983434677124,
      0.104988351464272,
      0.0952481403946877,
      0.0929799154400826,
      0.091283418238163,
      0.0786307007074356,
      0.0713886320590973,
      0.0618271194398403,
      0.0494715794920921,
      0.0879959240555763,
      0.124752901494503,
      0.110941521823406,
      0.0931484326720238,
      0.0814298316836357,
      0.0752497538924217,
      0.0706216618418694,
      0.0668014958500862,
      0.0566122531890869,
      0.0503828302025795,
      0.0489189997315407,
      0.057235237210989,
      0.0563319735229015,
      0.0621741525828838,
      0.0861317664384842,
      0.0909631177783012,
      0.0800191089510918,
      0.0705829709768295,
      0.0699902772903442,
      0.0640483051538467,
      0.0570599511265755,
      0.248068809509277,
      0.340727865695953,
      0.320890307426453,
      0.305447041988373,
      0.273433536291122,
      0.233446955680847,
      0.212969809770584,
      0.19358965754509,
      0.172487705945969,
      0.296053886413574,
      0.407793402671814,
      0.381061941385269,
      0.332525283098221,
      0.254877179861069,
      0.206972196698189,
      0.193198889493942,
      0.176764219999313,
      0.159369990229607,
      0.139151558279991,
      0.124538704752922,
      0.109957851469517,
      0.102685280144215,
      0.0994632095098495,
      0.0845136120915413,
      0.0773375108838081,
      0.0714822188019753,
      0.0662591084837914,
      0.101372480392456,
      0.138010531663895,
      0.114469200372696,
      0.0951451361179352,
      0.0877748876810074,
      0.0688611418008804,
      0.0550164058804512,
      0.0500284023582935,
      0.0448600240051746,
      0.0390166640281677,
      0.0397944636642933,
      0.0427046567201614,
      0.0461993366479874,
      0.0633205473423004,
      0.0712922438979149,
      0.0721171721816063,
      0.0687976107001305,
      0.055202953517437,
      0.042349137365818,
      0.0428206920623779,
      0.0483614876866341,
      0.0541199631989002,
      0.0549259223043919,
      0.0542517639696598,
      0.090928889811039,
      0.132698059082031,
      0.107912510633469,
      0.0677499026060104,
      0.065246120095253,
      0.0557993166148663,
      0.0497608855366707,
      0.0493213050067425,
      0.0472690016031265,
      0.0452161505818367,
      0.0446542650461197,
      0.0447824820876122,
      0.0479545593261719,
      0.0525822080671787,
      0.0491200312972069,
      0.0450056716799736,
      0.0497070513665676,
      0.0493970289826393,
      0.0428115613758564,
      0.0488353818655014,
      0.0516788214445114,
      0.0401357263326645,
      0.0372273959219456,
      0.0446038842201233,
      0.087531790137291,
      0.133421942591667,
      0.115073718130589,
      0.0744011774659157,
      0.0712161511182785,
      0.068243682384491,
      0.045841708779335,
      0.0394421257078648,
      0.0509566701948643,
      0.0529798343777657,
      0.0405023507773876,
      0.0402090065181255,
      0.0495779998600483,
      0.0543426275253296,
      0.0728415474295616,
      0.0917942374944687,
      0.0887276977300644,
      0.0676521509885788,
      0.0543444566428661,
      0.0484173558652401,
      0.0442642048001289,
      0.0602003708481789,
      0.0643612220883369,
      0.0556219182908535,
      0.0837483257055283,
      0.131664544343948,
      0.111834213137627,
      0.070318304002285,
      0.0660172402858734,
      0.0556171499192715,
      0.0530959963798523,
      0.0580504052340984,
      0.0585891157388687,
      0.0563656501471996,
      0.0590886771678925,
      0.0635308474302292,
      0.0653369650244713,
      0.0698498487472534,
      0.0653338134288788,
      0.0573023445904255,
      0.0619213692843914,
      0.0638241097331047,
      0.0533921830356121,
      0.0527050718665123,
      0.0447020977735519,
      0.0272050723433495,
      0.0223350953310728,
      0.0380476675927639,
      0.082618460059166,
      0.129319027066231,
      0.1140973046422,
      0.0800415053963661,
      0.0670911967754364,
      0.0596652925014496,
      0.0427364446222782,
      0.0433093458414078,
      0.0494110658764839,
      0.0436770915985107,
      0.0384174175560474,
      0.0446202829480171,
      0.0595481470227242,
      0.0743767023086548,
      0.0821821913123131,
      0.092894047498703,
      0.0844317898154259,
      0.0607801713049412,
      0.0562478341162205,
      0.0647824481129646,
      0.0629535540938377,
      0.0541052669286728,
      0.055062860250473,
      0.0502453744411469,
      0.0789306536316872,
      0.129632830619812,
      0.105299845337868,
      0.0599777922034264,
      0.0602357387542725,
      0.0561278238892555,
      0.0525570400059223,
      0.0562294200062752,
      0.0602246709167957,
      0.058351531624794,
      0.0575171783566475,
      0.0566800907254219,
      0.0583448074758053,
      0.058838676661253,
      0.0513621866703033,
      0.050024002790451,
      0.0485605001449585,
      0.0446850620210171,
      0.047144677489996,
      0.0500184930860996,
      0.0422465428709984,
      0.0428557880222797,
      0.044207826256752,
      0.0414231009781361,
      0.0823957696557045,
      0.133864209055901,
      0.117200396955013,
      0.0831812992691994,
      0.0693616643548012,
      0.0556336529552937,
      0.0531695783138275,
      0.0450488403439522,
      0.0449703559279442,
      0.0433457903563976,
      0.042429193854332,
      0.0442006103694439,
      0.0482751354575157,
      0.0632371455430984,
      0.075439028441906,
      0.0807328671216965,
      0.0741293951869011,
      0.062012393027544,
      0.052046287804842,
      0.0527084469795227,
      0.0443391352891922,
      0.0456387586891651,
      0.0471246540546417,
      0.0537772104144096,
      0.082147590816021,
      0.124501474201679,
      0.0996444672346115,
      0.052474420517683,
      0.0550882145762444,
      0.0504206791520119,
      0.042328268289566,
      0.027414096519351,
      0.0361279733479023,
      0.0460229702293873,
      0.0393733941018581,
      0.037264246493578,
      0.0407745130360126,
      0.0423734560608864,
      0.0476241782307625,
      0.0546186678111553,
      0.0535212159156799,
      0.0540234632790089,
      0.0558743327856064,
      0.0586417093873024,
      0.0494465604424477,
      0.0420394167304039,
      0.0417357124388218,
      0.0427405014634132,
      0.0812780410051346,
      0.157619446516037,
      0.152333661913872,
      0.10794510692358,
      0.0964688435196877,
      0.0896835327148438,
      0.0851552784442902,
      0.0810610726475716,
      0.081002950668335,
      0.0809670984745026,
      0.0714126452803612,
      0.0576878860592842,
      0.243682220578194,
      0.416103899478912,
      0.432924807071686,
      0.364915788173676,
      0.323150187730789,
      0.30697825551033,
      0.278999209403992,
      0.257219195365906,
      0.233194172382355,
      0.286203473806381,
      0.456477493047714,
      0.508355796337128,
      0.460962533950806,
      0.444717764854431,
      0.414887934923172,
      0.372956693172455,
      0.337874412536621,
      0.296897381544113,
      0.376934319734573,
      0.401715099811554,
      0.272701591253281,
      0.199480339884758,
      0.186027988791466,
      0.18134993314743,
      0.170275628566742,
      0.161032423377037,
      0.141871616244316,
      0.125543534755707,
      0.104767575860023,
      0.0914953872561455,
      0.0836009159684181,
      0.0814182236790657,
      0.0699233934283257,
      0.0604899898171425,
      0.0511944591999054,
      0.0435347966849804,
      0.0762221142649651,
      0.136202424764633,
      0.124713011085987,
      0.0873933434486389,
      0.0810004398226738,
      0.0841192677617073,
      0.0866744741797447,
      0.0726310685276985,
      0.0534213408827782,
      0.0429180674254894,
      0.0370021425187588,
      0.0352451615035534,
      0.250207424163818,
      0.355665355920792,
      0.351316154003143,
      0.31934067606926,
      0.280845105648041,
      0.242919996380806,
      0.227911412715912,
      0.207501024007797,
      0.185617670416832,
      0.263229429721832,
      0.316194266080856,
      0.311184376478195,
      0.321283429861069,
      0.316794097423553,
      0.295311897993088,
      0.271432042121887,
      0.246938437223434,
      0.216938734054565,
      0.274353563785553,
      0.349798321723938,
      0.379844069480896,
      0.376192092895508,
      0.351561963558197,
      0.329690933227539,
      0.307011485099792,
      0.276674330234528,
      0.244497388601303,
      0.218718558549881,
      0.190983444452286,
      0.172311142086983,
      0.150638356804848,
      0.139425754547119,
      0.119515426456928,
      0.104359731078148,
      0.0911490768194199,
      0.0883079245686531,
      0.110172882676125,
      0.149876862764359,
      0.131435140967369,
      0.09820955991745,
      0.0868195593357086,
      0.0784114152193069,
      0.0760310515761375,
      0.0659557729959488,
      0.0514297261834145,
      0.0377340279519558,
      0.0317194983363152,
      0.0454524122178555,
      0.249322786927223,
      0.34417799115181,
      0.334125459194183,
      0.308562874794006,
      0.26956769824028,
      0.21896918118,
      0.21738101541996,
      0.191382452845573,
      0.165634229779243,
      0.271112680435181,
      0.392014592885971,
      0.410561770200729,
      0.357465952634811,
      0.317496657371521,
      0.254861891269684,
      0.213534325361252,
      0.19433057308197,
      0.179719552397728,
      0.291157603263855,
      0.362114727497101,
      0.317626416683197,
      0.256070375442505,
      0.211289629340172,
      0.161994978785515,
      0.151090919971466,
      0.145015627145767,
      0.135341584682465,
      0.118192337453365,
      0.0969649404287338,
      0.0829580947756767,
      0.0785669237375259,
      0.0747985243797302,
      0.0612517781555653,
      0.0516568869352341,
      0.0476303771138191,
      0.0454349331557751,
      0.0721562951803207,
      0.125799834728241,
      0.1144665107131,
      0.0920560508966446,
      0.0896108373999596,
      0.0778579637408257,
      0.0745010673999786,
      0.0643453672528267,
      0.0526100769639015,
      0.0426721833646297,
      0.0531376600265503,
      0.0581950210034847,
      0.0597487837076187,
      0.0712076425552368,
      0.0834030956029892,
      0.0875820815563202,
      0.0764036700129509,
      0.0730163529515266,
      0.067724347114563,
      0.0602036565542221,
      0.0415296852588654,
      0.22770568728447,
      0.3198202252388,
      0.32107800245285,
      0.297925621271133,
      0.283864259719849,
      0.238919779658318,
      0.210386857390404,
      0.193446174263954,
      0.181577667593956,
      0.272106647491455,
      0.386411190032959,
      0.389592975378036,
      0.328466594219208,
      0.268086344003677,
      0.218307241797447,
      0.200402274727821,
      0.182827144861221,
      0.167139142751694,
      0.146396458148956,
      0.124217495322227,
      0.106990687549114,
      0.0961909145116806,
      0.0926141366362572,
      0.08029705286026,
      0.0683721601963043,
      0.0674223452806473,
      0.0692692771553993,
      0.0840052366256714,
      0.13060836493969,
      0.118106946349144,
      0.0956370681524277,
      0.0880195870995522,
      0.0836216136813164,
      0.073612317442894,
      0.0726304799318314,
      0.0778480917215347,
      0.081405982375145,
      0.0604017563164234,
      0.0433091856539249,
      0.252333968877792,
      0.416130363941193,
      0.427606284618378,
      0.368566870689392,
      0.32625275850296,
      0.307418614625931,
      0.282070398330688,
      0.263015508651733,
      0.235693469643593,
      0.29542464017868,
      0.364156454801559,
      0.354333311319351,
      0.352555274963379,
      0.372351437807083,
      0.344987660646439,
      0.309193968772888,
      0.279313206672668,
      0.250817060470581,
      0.345919489860535,
      0.481506645679474,
      0.444316625595093,
      0.316674143075943,
      0.23862686753273,
      0.226744174957275,
      0.20817831158638,
      0.194601684808731,
      0.174068748950958,
      0.147653758525848,
      0.128955915570259,
      0.112287744879723,
      0.106896169483662,
      0.103021711111069,
      0.0949294939637184,
      0.0840662568807602,
      0.0751011073589325,
      0.0640301927924156,
      0.0874400287866592,
      0.143474727869034,
      0.135816395282745,
      0.0946504846215248,
      0.0874368995428085,
      0.0783397182822227,
      0.0748499482870102,
      0.0636476874351501,
      0.0508694462478161,
      0.0448556691408157,
      0.0422367714345455,
      0.0361409112811089,
      0.231161549687386,
      0.381202310323715,
      0.392260491847992,
      0.343489199876785,
      0.296620160341263,
      0.276217848062515,
      0.253716260194778,
      0.228696450591087,
      0.209697037935257,
      0.276972413063049,
      0.390810132026672,
      0.427541047334671,
      0.407696306705475,
      0.395543843507767,
      0.376292198896408,
      0.328660309314728,
      0.2955242395401,
      0.259400546550751,
      0.327765762805939,
      0.325013816356659,
      0.241596132516861,
      0.249659895896912,
      0.265217453241348,
      0.267447680234909,
      0.243543565273285,
      0.217283964157104,
      0.193559527397156,
      0.173257276415825,
      0.155653655529022,
      0.135308027267456,
      0.121419914066792,
      0.110135696828365,
      0.0965143665671349,
      0.0840354412794113,
      0.0750472471117973,
      0.0784805491566658,
      0.101898811757565,
      0.140122666954994,
      0.125885099172592,
      0.092210091650486,
      0.0825864672660828,
      0.0715054869651794,
      0.0771988332271576,
      0.0698850005865097,
      0.0497673228383064,
      0.0389268435537815,
      0.029583228752017,
      0.0525717064738274,
      0.244662165641785,
      0.365012913942337,
      0.368089407682419,
      0.32786425948143,
      0.282980710268021,
      0.257619827985764,
      0.235943913459778,
      0.22221352159977,
      0.20407298207283,
      0.306294322013855,
      0.336199253797531,
      0.251353651285172,
      0.220924228429794,
      0.225571602582932,
      0.210300281643867,
      0.171686932444572,
      0.163752660155296,
      0.155272170901299,
      0.13703827559948,
      0.115347497165203,
      0.0980173349380493,
      0.086689755320549,
      0.0875362455844879,
      0.0884824320673943,
      0.084089383482933,
      0.0858915746212006,
      0.0791498795151711,
      0.0640791282057762,
      0.0481709539890289,
      0.037930604070425,
      0.0456395708024502,
      0.0474193729460239,
      0.0336880125105381,
      0.0240642167627811,
      0.0240193083882332,
      0.029655696824193,
      0.22025503218174,
      0.343306630849838,
      0.343779176473618,
      0.315691649913788,
      0.258654445409775,
      0.229434207081795,
      0.209756702184677,
      0.193111851811409,
      0.171127825975418,
      0.150458857417107,
      0.138796418905258,
      0.13194240629673,
      0.118702828884125,
      0.110269218683243,
      0.113481931388378,
      0.120046153664589,
      0.107855170965195,
      0.0883181467652321,
      0.0845767110586166,
      0.0838622748851776,
      0.0662893205881119,
      0.047394834458828,
      0.0390257835388184,
      0.0418843440711498,
      0.0729703530669212,
      0.126009613275528,
      0.116535447537899,
      0.056331031024456,
      0.046331375837326,
      0.0568935908377171,
      0.0692623630166054,
      0.056692972779274,
      0.0357078574597836,
      0.0316268242895603,
      0.0331647507846355,
      0.0451333709061146,
      0.0661215931177139,
      0.0861882492899895,
      0.0846329927444458,
      0.08000797778368,
      0.0687235668301582,
      0.0489579550921917,
      0.0480144284665585,
      0.049195371568203,
      0.0381671153008938,
      0.0274817440658808,
      0.0252497140318155,
      0.0344108082354069,
      0.0707756504416466,
      0.14159931242466,
      0.146363526582718,
      0.095136895775795,
      0.0866184085607529,
      0.0708222016692162,
      0.062449861317873,
      0.0616576187312603,
      0.0621768459677696,
      0.0554769076406956,
      0.0557793155312538,
      0.0612414292991161,
      0.189314395189285,
      0.393913418054581,
      0.436945915222168,
      0.361554682254791,
      0.323931604623795,
      0.307226687669754,
      0.283268749713898,
      0.265667676925659,
      0.238521784543991,
      0.26456692814827,
      0.441805720329285,
      0.514272749423981,
      0.465408384799957,
      0.448741257190704,
      0.417937159538269,
      0.37894132733345,
      0.341547071933746,
      0.304575949907303,
      0.364612251520157,
      0.403153091669083,
      0.297033905982971,
      0.206177473068237,
      0.189048767089844,
      0.185401618480682,
      0.175693556666374,
      0.16346563398838,
      0.148853853344917,
      0.135356038808823,
      0.118914186954498,
      0.105819657444954,
      0.0962664410471916,
      0.0892455950379372,
      0.0810755416750908,
      0.0762153342366219,
      0.0722304955124855,
      0.0687858089804649,
      0.083736278116703,
      0.124087058007717,
      0.127908632159233,
      0.0830116793513298,
      0.0642249211668968,
      0.0703520923852921,
      0.0882178619503975,
      0.0865617468953133,
      0.069738432765007,
      0.065806657075882,
      0.0623714029788971,
      0.0511669181287289,
      0.20561209321022,
      0.347520112991333,
      0.357610255479813,
      0.331814497709274,
      0.274335563182831,
      0.250289231538773,
      0.230521574616432,
      0.214645653963089,
      0.190836042165756,
      0.265089124441147,
      0.315629571676254,
      0.313683122396469,
      0.333284169435501,
      0.32312273979187,
      0.304107993841171,
      0.274819821119308,
      0.249610036611557,
      0.222684398293495,
      0.263538420200348,
      0.342623829841614,
      0.380208343267441,
      0.38769206404686,
      0.360308676958084,
      0.337283253669739,
      0.31095165014267,
      0.281467407941818,
      0.254634350538254,
      0.226348906755447,
      0.20116925239563,
      0.178108528256416,
      0.163439989089966,
      0.142499163746834,
      0.128680050373077,
      0.117076545953751,
      0.108281284570694,
      0.0981415510177612,
      0.102452360093594,
      0.142113655805588,
      0.137136816978455,
      0.0885280072689056,
      0.0703503713011742,
      0.0705070570111275,
      0.0743002593517303,
      0.0688324123620987,
      0.0652056783437729,
      0.0742514282464981,
      0.0793902724981308,
      0.0735113024711609,
      0.210717231035233,
      0.318046748638153,
      0.326857805252075,
      0.308064252138138,
      0.250794291496277,
      0.220391690731049,
      0.219510927796364,
      0.196900025010109,
      0.181557968258858,
      0.227495774626732,
      0.375598073005676,
      0.430243343114853,
      0.371131002902985,
      0.320752173662186,
      0.261037021875381,
      0.22268895804882,
      0.195300534367561,
      0.17488706111908,
      0.246628642082214,
      0.341230392456055,
      0.335330426692963,
      0.275941461324692,
      0.221332088112831,
      0.174455299973488,
      0.159394443035126,
      0.138315930962563,
      0.129942342638969,
      0.12191504240036,
      0.107933133840561,
      0.0972892194986343,
      0.0867299437522888,
      0.0782889649271965,
      0.0675961077213287,
      0.061871126294136,
      0.058540303260088,
      0.0595127940177917,
      0.0813622549176216,
      0.123769275844097,
      0.114883452653885,
      0.0653528943657875,
      0.0591608509421349,
      0.0544129647314548,
      0.0524126291275024,
      0.0556135140359402,
      0.0634558126330376,
      0.0712746605277061,
      0.0788243263959885,
      0.0724208652973175,
      0.0598725602030754,
      0.0526442192494869,
      0.0496646873652935,
      0.0533968545496464,
      0.056662704795599,
      0.0549349896609783,
      0.0575182512402534,
      0.0585138387978077,
      0.0570149272680283,
      0.198046609759331,
      0.305812418460846,
      0.324462682008743,
      0.312331676483154,
      0.288034349679947,
      0.251403331756592,
      0.219487994909286,
      0.195917040109634,
      0.18139386177063,
      0.218857452273369,
      0.363101661205292,
      0.407207638025284,
      0.344015449285507,
      0.279471039772034,
      0.21248596906662,
      0.191473677754402,
      0.174269571900368,
      0.156925901770592,
      0.140138879418373,
      0.121114239096642,
      0.105162434279919,
      0.0923861116170883,
      0.0844177901744843,
      0.0806508287787437,
      0.0726601406931877,
      0.065352164208889,
      0.0619064904749393,
      0.0723172277212143,
      0.123759292066097,
      0.122392773628235,
      0.0812951922416687,
      0.0658936202526093,
      0.0590763799846172,
      0.0642661973834038,
      0.0694761201739311,
      0.0684572160243988,
      0.0643872991204262,
      0.0668947026133537,
      0.0675764307379723,
      0.0574781224131584,
      0.063699908554554,
      0.089307926595211,
      0.0897146016359329,
      0.0785358026623726,
      0.0746771842241287,
      0.0695211440324783,
      0.0597955323755741,
      0.0519866980612278,
      0.0543676018714905,
      0.0504678599536419,
      0.0467829927802086,
      0.0639044716954231,
      0.124966152012348,
      0.121084399521351,
      0.0653249695897102,
      0.0555984117090702,
      0.0518897958099842,
      0.0532060638070107,
      0.0570802129805088,
      0.053698193281889,
      0.0545715130865574,
      0.0541814155876637,
      0.0608141459524632,
      0.0567401014268398,
      0.0431941077113152,
      0.0526857897639275,
      0.0547990947961807,
      0.0513024963438511,
      0.0519753322005272,
      0.0534519366919994,
      0.0513115227222443,
      0.0494926497340202,
      0.0496764592826366,
      0.0529237911105156,
      0.0476040579378605,
      0.0691522136330605,
      0.136314153671265,
      0.140146940946579,
      0.0893940404057503,
      0.0751861557364464,
      0.0747955739498138,
      0.0729940310120583,
      0.0683437883853912,
      0.0630939602851868,
      0.0778949409723282,
      0.0804911926388741,
      0.0573669038712978,
      0.0506366975605488,
      0.0555250719189644,
      0.0639793649315834,
      0.0749121531844139,
      0.0777250900864601,
      0.0759314000606537,
      0.0728492140769958,
      0.0650514662265778,
      0.0591437928378582,
      0.0609751902520657,
      0.0608997121453285,
      0.0576230883598328,
      0.0654622614383698,
      0.12356324493885,
      0.12466012686491,
      0.0660858377814293,
      0.0575242936611176,
      0.0631925165653229,
      0.073347844183445,
      0.0724101364612579,
      0.0606096684932709,
      0.059268593788147,
      0.0588145591318607,
      0.0607164762914181,
      0.0598676726222038,
      0.0535270981490612,
      0.0535420700907707,
      0.0516478829085827,
      0.049099151045084,
      0.0509118586778641,
      0.0479644350707531,
      0.0476570501923561,
      0.0463442616164684,
      0.0447678864002228,
      0.0482930950820446,
      0.0536503456532955,
      0.0679787844419479,
      0.123282171785831,
      0.125571265816689,
      0.100111991167068,
      0.0921419560909271,
      0.0734008550643921,
      0.0659866258502007,
      0.0653812885284424,
      0.0695434659719467,
      0.0699265524744987,
      0.0672842413187027,
      0.0635764226317406,
      0.0530427061021328,
      0.0594408176839352,
      0.0740537270903587,
      0.0872757583856583,
      0.0923903584480286,
      0.0799760818481445,
      0.0752865672111511,
      0.0655566900968552,
      0.0663256645202637,
      0.0677512809634209,
      0.0712280943989754,
      0.0686005875468254,
      0.0718146786093712,
      0.120764523744583,
      0.121638804674149,
      0.0714151263237,
      0.057483684271574,
      0.0493184961378574,
      0.0455385558307171,
      0.0472119450569153,
      0.0509958490729332,
      0.0549833104014397,
      0.0591862127184868,
      0.0571081303060055,
      0.0498386472463608,
      0.044620756059885,
      0.0530022233724594,
      0.0575372651219368,
      0.0531119927763939,
      0.0592161156237125,
      0.0549008473753929,
      0.0428212285041809,
      0.0375933162868023,
      0.0302609466016293,
      0.0295362919569016,
      0.0373972803354263,
      0.0650977939367294,
      0.123742267489433,
      0.128545075654984,
      0.0892143100500107,
      0.0808811634778976,
      0.0669173300266266,
      0.0562336854636669,
      0.045461967587471,
      0.0585214123129845,
      0.0586638301610947,
      0.0551712736487389,
      0.0526879876852036,
      0.057404451072216,
      0.0671851709485054,
      0.0776060149073601,
      0.0792612805962563,
      0.0753147155046463,
      0.0649821013212204,
      0.0584604255855083,
      0.0558332800865173,
      0.0532786250114441,
      0.0490100271999836,
      0.0512697212398052,
      0.0536870732903481,
      0.0646571815013885,
      0.119256615638733,
      0.118234738707542,
      0.0615120120346546,
      0.0415283478796482,
      0.0399473085999489,
      0.0368878319859505,
      0.0347746126353741,
      0.0283592268824577,
      0.0187378190457821,
      0.0154299167916179,
      0.0141028966754675,
      0.012924768961966,
      0.0128356907516718,
      0.0116897728294134,
      0.0106028411537409,
      0.00891458336263895,
      0.00739221647381783,
      0.00718684634193778,
      0.0243560485541821,
      0.0311733465641737,
      0.028484096750617,
      0.031199561432004,
      0.0342113226652145,
      0.0551437698304653,
      0.124724268913269,
      0.134830996394157,
      0.0735439285635948,
      0.0476848073303699,
      0.0462671294808388,
      0.0468568466603756,
      0.0457528717815876,
      0.0411366410553455,
      0.0388782694935799,
      0.039977852255106,
      0.0405794717371464,
      0.12395578622818,
      0.371019780635834,
      0.445137083530426,
      0.368712693452835,
      0.336932897567749,
      0.310487121343613,
      0.283178240060806,
      0.262177556753159,
      0.236282467842102,
      0.24722957611084,
      0.408117681741714,
      0.500845193862915,
      0.465694904327393,
      0.452292025089264,
      0.424516439437866,
      0.38480544090271,
      0.340061277151108,
      0.306127190589905,
      0.30732649564743,
      0.386993616819382,
      0.320603847503662,
      0.204746827483177,
      0.175400793552399,
      0.174945682287216,
      0.166108429431915,
      0.156127572059631,
      0.143831595778465,
      0.12714746594429,
      0.110164411365986,
      0.0936727598309517,
      0.0818651467561722,
      0.0832592472434044,
      0.0809696763753891,
      0.0719934552907944,
      0.0610179677605629,
      0.0602116845548153,
      0.0692478865385056,
      0.121406517922878,
      0.130352348089218,
      0.0925045236945152,
      0.0703357085585594,
      0.0618860125541687,
      0.0603768453001976,
      0.0561137609183788,
      0.0494297705590725,
      0.046087771654129,
      0.0407224260270596,
      0.038599256426096,
      0.148433208465576,
      0.320389926433563,
      0.362765312194824,
      0.336432725191116,
      0.294783413410187,
      0.248307600617409,
      0.23434853553772,
      0.20867694914341,
      0.192199438810349,
      0.23081736266613,
      0.298968851566315,
      0.304976046085358,
      0.32172417640686,
      0.317130744457245,
      0.298519343137741,
      0.280129700899124,
      0.252139151096344,
      0.224085479974747,
      0.250183761119843,
      0.322428435087204,
      0.373067498207092,
      0.387199401855469,
      0.367357045412064,
      0.335352718830109,
      0.319417834281921,
      0.287244439125061,
      0.257384806871414,
      0.226655542850494,
      0.199805438518524,
      0.174884527921677,
      0.152962878346443,
      0.141838163137436,
      0.125687956809998,
      0.116523720324039,
      0.103240430355072,
      0.0874311849474907,
      0.0865266919136047,
      0.13344119489193,
      0.137903198599815,
      0.103801347315311,
      0.0933626890182495,
      0.0768122300505638,
      0.0725096613168716,
      0.0661619156599045,
      0.0560475215315819,
      0.0430745519697666,
      0.0327106490731239,
      0.0292125158011913,
      0.11768988519907,
      0.306368350982666,
      0.347530543804169,
      0.327517420053482,
      0.272897124290466,
      0.236008748412132,
      0.216673612594604,
      0.201354146003723,
      0.177221819758415,
      0.189412280917168,
      0.365586906671524,
      0.437952995300293,
      0.383490413427353,
      0.328388065099716,
      0.272495895624161,
      0.220122292637825,
      0.194108709692955,
      0.17750072479248,
      0.179135620594025,
      0.337015450000763,
      0.357782781124115,
      0.28825655579567,
      0.219310432672501,
      0.170863017439842,
      0.146655529737473,
      0.139764368534088,
      0.130213752388954,
      0.112760849297047,
      0.101408183574677,
      0.087198294699192,
      0.0773327127099037,
      0.0780597552657127,
      0.0726568847894669,
      0.0635934323072433,
      0.0551731884479523,
      0.0429325997829437,
      0.0573883727192879,
      0.113346457481384,
      0.121619254350662,
      0.0866124108433723,
      0.0814122259616852,
      0.0664360374212265,
      0.0566532909870148,
      0.0454006120562553,
      0.0392024703323841,
      0.0333883687853813,
      0.0349723920226097,
      0.0326535180211067,
      0.0330202765762806,
      0.0468309409916401,
      0.0600890517234802,
      0.0753610953688622,
      0.0740689486265182,
      0.0634930059313774,
      0.0532435141503811,
      0.0524566285312176,
      0.0451465882360935,
      0.10969790071249,
      0.292202264070511,
      0.336977690458298,
      0.317557722330093,
      0.286022126674652,
      0.253992110490799,
      0.212200969457626,
      0.194709986448288,
      0.179629534482956,
      0.184539303183556,
      0.350675165653229,
      0.418583780527115,
      0.357473284006119,
      0.292284905910492,
      0.226007297635078,
      0.194808632135391,
      0.177223786711693,
      0.163356840610504,
      0.146766841411591,
      0.128716975450516,
      0.114486463367939,
      0.101146139204502,
      0.0956084802746773,
      0.0852151140570641,
      0.0721679180860519,
      0.0641025379300117,
      0.0546428710222244,
      0.062611997127533,
      0.116829581558704,
      0.128139138221741,
      0.0927252396941185,
      0.0839297398924828,
      0.0693010985851288,
      0.0606057159602642,
      0.0603585578501225,
      0.0531091429293156,
      0.0452607534825802,
      0.0393678396940231,
      0.0312196500599384,
      0.132673114538193,
      0.37727627158165,
      0.454146027565002,
      0.377526640892029,
      0.335442066192627,
      0.316442340612411,
      0.290997534990311,
      0.270274609327316,
      0.241689682006836,
      0.266409903764725,
      0.335128307342529,
      0.35442590713501,
      0.351933598518372,
      0.365630596876144,
      0.35756179690361,
      0.317105829715729,
      0.285031855106354,
      0.257615715265274,
      0.250365972518921,
      0.445765912532806,
      0.487867385149002,
      0.345157623291016,
      0.257863193750381,
      0.229054808616638,
      0.210219591856003,
      0.197627544403076,
      0.177503794431686,
      0.158500999212265,
      0.134720906615257,
      0.116842433810234,
      0.101918168365955,
      0.100926220417023,
      0.0925550386309624,
      0.0759915411472321,
      0.0654182061553001,
      0.064253069460392,
      0.0718443393707275,
      0.122427448630333,
      0.144731476902962,
      0.10901253670454,
      0.0819814652204514,
      0.0556695535778999,
      0.0454026721417904,
      0.0410627536475658,
      0.0369061604142189,
      0.0368293039500713,
      0.0358800925314426,
      0.0349042341113091,
      0.0930280536413193,
      0.329176127910614,
      0.415509700775146,
      0.36542934179306,
      0.310672402381897,
      0.280498147010803,
      0.258457630872726,
      0.233278408646584,
      0.209178879857063,
      0.235604032874107,
      0.352522522211075,
      0.42390638589859,
      0.416288107633591,
      0.400965452194214,
      0.390047162771225,
      0.348654001951218,
      0.304878920316696,
      0.271940499544144,
      0.26847892999649,
      0.316123068332672,
      0.269940823316574,
      0.245422497391701,
      0.257291376590729,
      0.265291482210159,
      0.249798744916916,
      0.228370741009712,
      0.205383822321892,
      0.183065384626389,
      0.161781162023544,
      0.144379153847694,
      0.126649260520935,
      0.115928992629051,
      0.104827746748924,
      0.0933066979050636,
      0.0830365717411041,
      0.0715468004345894,
      0.0686429738998413,
      0.118568226695061,
      0.132413238286972,
      0.103779062628746,
      0.0887421220541,
      0.0720353126525879,
      0.0599723234772682,
      0.0530750304460526,
      0.0438658185303211,
      0.0343123264610767,
      0.0300407763570547,
      0.0387758612632751,
      0.0987661108374596,
      0.320037931203842,
      0.401583969593048,
      0.351619035005569,
      0.289824664592743,
      0.26506581902504,
      0.254506587982178,
      0.23105962574482,
      0.207086533308029,
      0.208258762955666,
      0.318841874599457,
      0.313701242208481,
      0.238278537988663,
      0.221828311681747,
      0.209412276744843,
      0.182930454611778,
      0.167831853032112,
      0.153835207223892,
      0.136864438652992,
      0.119863443076611,
      0.103237837553024,
      0.0933448374271393,
      0.0854925215244293,
      0.0768979713320732,
      0.0663407891988754,
      0.0661276057362556,
      0.0578490868210793,
      0.0445421524345875,
      0.0460835322737694,
      0.0450663045048714,
      0.0428743362426758,
      0.050503171980381,
      0.0477651618421078,
      0.0351965874433517,
      0.0284907333552837,
      0.0284731667488813,
      0.0480495505034924,
      0.288670718669891,
      0.378322809934616,
      0.329822450876236,
      0.28437215089798,
      0.234882459044456,
      0.210406422615051,
      0.19498510658741,
      0.178275987505913,
      0.158167392015457,
      0.139280408620834,
      0.121969893574715,
      0.105625852942467,
      0.0990977138280869,
      0.0995092391967773,
      0.11052056401968,
      0.105894640088081,
      0.0896382555365562,
      0.0756474882364273,
      0.0731025412678719,
      0.0661429837346077,
      0.0531407222151756,
      0.0457966402173042,
      0.0348035283386707,
      0.0403807386755943,
      0.106999278068542,
      0.118996761739254,
      0.0620796419680119,
      0.0396931692957878,
      0.0391252711415291,
      0.0258685797452927,
      0.0280942283570766,
      0.0231286734342575,
      0.019938537850976,
      0.0200654063373804,
      0.0221821777522564,
      0.0231516659259796,
      0.0394380651414394,
      0.0379122085869312,
      0.0185705907642841,
      0.0199654139578342,
      0.0235492512583733,
      0.021020570769906,
      0.0380674749612808,
      0.0389358401298523,
      0.024553868919611,
      0.0183093920350075,
      0.0214777253568172,
      0.0363190844655037,
      0.108143456280231,
      0.140906795859337,
      0.108319245278835,
      0.0871010273694992,
      0.0728093162178993,
      0.064090333878994,
      0.0561927855014801,
      0.0558692626655102,
      0.0500474274158478,
      0.0403534695506096,
      0.0314503386616707,
      0.0268970858305693,
      0.0512470006942749,
      0.0700535327196121,
      0.0799546763300896,
      0.0735414773225784,
      0.0549425967037678,
      0.0515528880059719,
      0.0453405193984509,
      0.0472672171890736,
      0.041641466319561,
      0.0373897403478622,
      0.0329048149287701,
      0.0376612991094589,
      0.0918535143136978,
      0.102185271680355,
      0.0574991591274738,
      0.0320572853088379,
      0.0306099653244019,
      0.0326901935040951,
      0.0352931171655655,
      0.0379866324365139,
      0.0411491803824902,
      0.0369741506874561,
      0.0350427255034447,
      0.035307303071022,
      0.0312029737979174,
      0.0311955828219652,
      0.0245842114090919,
      0.0192141458392143,
      0.015627346932888,
      0.0102835213765502,
      0.0116820419207215,
      0.0109894573688507,
      0.012392845004797,
      0.0156864281743765,
      0.0162324570119381,
      0.0270460993051529,
      0.102151989936829,
      0.12465088814497,
      0.0917335227131844,
      0.0679725334048271,
      0.0550523437559605,
      0.0525421276688576,
      0.0496679544448853,
      0.046193215996027,
      0.0437433496117592,
      0.0439629033207893,
      0.0375187061727047,
      0.0314418002963066,
      0.0434276089072227,
      0.058348260819912,
      0.078618660569191,
      0.0817595571279526,
      0.0678117498755455,
      0.056342851370573,
      0.0486479885876179,
      0.0470628328621387,
      0.0422091819345951,
      0.0462558008730412,
      0.0418984405696392,
      0.0388931147754192,
      0.0932846367359161,
      0.104380056262016,
      0.0639325007796288,
      0.0401220545172691,
      0.0346935950219631,
      0.0340917594730854,
      0.0339760966598988,
      0.0310652609914541,
      0.0346717275679111,
      0.0316556952893734,
      0.0305474475026131,
      0.031911738216877,
      0.0341687463223934,
      0.0299607068300247,
      0.0292031727731228,
      0.0328788831830025,
      0.0332431346178055,
      0.0295333750545979,
      0.0260665491223335,
      0.0245169494301081,
      0.021553099155426,
      0.0224797949194908,
      0.0190105531364679,
      0.0267235096544027,
      0.102779798209667,
      0.125072836875916,
      0.0985395535826683,
      0.0821191444993019,
      0.0663059800863266,
      0.0572428666055202,
      0.0485938563942909,
      0.0439915880560875,
      0.0409830771386623,
      0.0354662053287029,
      0.0321244075894356,
      0.0289095863699913,
      0.0414202027022839,
      0.0632404908537865,
      0.0773660764098167,
      0.0736920163035393,
      0.0611308738589287,
      0.0554204732179642,
      0.0479833781719208,
      0.0445620380342007,
      0.0379975698888302,
      0.0368952378630638,
      0.0401994213461876,
      0.0439016856253147,
      0.0971216708421707,
      0.11484594643116,
      0.0660719946026802,
      0.0347914360463619,
      0.0386568009853363,
      0.0348945558071136,
      0.0353615209460258,
      0.0325037762522697,
      0.0325941890478134,
      0.0308429971337318,
      0.03279659897089,
      0.0321440771222115,
      0.0322726406157017,
      0.0304037984460592,
      0.0294031221419573,
      0.0264580454677343,
      0.0200913920998573,
      0.0200773607939482,
      0.0176198873668909,
      0.0148766366764903,
      0.0103231556713581,
      0.00774100469425321,
      0.00461608311161399,
      0.0226003676652908,
      0.0986393466591835,
      0.124828718602657,
      0.0966283977031708,
      0.0782752558588982,
      0.0704592689871788,
      0.0579646229743958,
      0.0496646836400032,
      0.0458084866404533,
      0.04325021058321,
      0.0311704371124506,
      0.0256588626652956,
      0.0247900485992432,
      0.0369009450078011,
      0.0546304695308208,
      0.0708086490631104,
      0.0705566331744194,
      0.0582713708281517,
      0.0502530485391617,
      0.0431762784719467,
      0.0337012410163879,
      0.026795269921422,
      0.0262275449931622,
      0.0255833398550749,
      0.0273008495569229,
      0.0943926200270653,
      0.114014938473701,
      0.0672660693526268,
      0.0317432507872581,
      0.0193238127976656,
      0.0224452763795853,
      0.0237677861005068,
      0.029819069430232,
      0.0254933815449476,
      0.0139210755005479,
      0.0105644594877958,
      0.00833461619913578,
      0.00741003779694438,
      0.00826960150152445,
      0.0112222796306014,
      0.0201090537011623,
      0.0188588742166758,
      0.0193282067775726,
      0.027531573548913,
      0.0272843949496746,
      0.023335887119174,
      0.0189254563301802,
      0.0179917402565479,
      0.0285175312310457,
      0.0991137996315956,
      0.12300456315279,
      0.101921617984772,
      0.0896592661738396,
      0.0690582245588303,
      0.0618732832372189,
      0.0563053004443645,
      0.0495761968195438,
      0.0487671382725239,
      0.0431766137480736,
      0.0327116325497627,
      0.0325375348329544,
      0.0561383999884129,
      0.0840853676199913,
      0.0899738967418671,
      0.0831296145915985,
      0.0640330836176872,
      0.0492401793599129,
      0.0415930785238743,
      0.0477698557078838,
      0.0454613864421844,
      0.0431615710258484,
      0.045946292579174,
      0.0516119934618473,
      0.102396048605442,
      0.123223163187504,
      0.0744203850626945,
      0.0358784645795822,
      0.0392351634800434,
      0.0391276367008686,
      0.0305682588368654,
      0.0243800599128008,
      0.0309612881392241,
      0.033168513327837,
      0.0292654652148485,
      0.0290539693087339,
      0.0293693132698536,
      0.0269435066729784,
      0.0211707949638367,
      0.0153188910335302,
      0.0115125868469477,
      0.0098666874691844,
      0.0104740327224135,
      0.0113893030211329,
      0.0114424377679825,
      0.0117718037217855,
      0.0119212102144957,
      0.0239711441099644,
      0.101618401706219,
      0.136360213160515,
      0.104313060641289,
      0.0677290707826614,
      0.0585334971547127,
      0.0531017072498798,
      0.0454426445066929,
      0.0485373325645924,
      0.0463358424603939,
      0.0385032407939434,
      0.0299072377383709,
      0.0273118577897549,
      0.0390025414526463,
      0.0620573908090591,
      0.0810915976762772,
      0.0812612548470497,
      0.072940893471241,
      0.0577094368636608,
      0.0453469790518284,
      0.0426212176680565,
      0.0355682522058487,
      0.0277478564530611,
      0.025465302169323,
      0.0258482806384563,
      0.0927469208836555,
      0.12394592165947,
      0.0842643082141876,
      0.0396003350615501,
      0.0413330532610416,
      0.0378514267504215,
      0.0390354171395302,
      0.0393469370901585,
      0.0323195047676563,
      0.0283512286841869,
      0.0271468367427588,
      0.0291925724595785,
      0.0294648613780737,
      0.0270457547158003,
      0.0284750517457724,
      0.0272948909550905,
      0.0260229278355837,
      0.0192289389669895,
      0.0263660494238138,
      0.0274162478744984,
      0.0170479491353035,
      0.0205114595592022,
      0.0215817764401436,
      0.0223456770181656,
      0.0981680154800415,
      0.131751045584679,
      0.106272459030151,
      0.0852241441607475,
      0.0650177150964737,
      0.0485837161540985,
      0.0432282872498035,
      0.0430689677596092,
      0.0372654311358929,
      0.034439105540514,
      0.0360385924577713,
      0.0342997014522552,
      0.0402654446661472,
      0.0571582056581974,
      0.0729827210307121,
      0.0824228450655937,
      0.0733597949147224,
      0.0578978322446346,
      0.0444714464247227,
      0.0471517853438854,
      0.0423018559813499,
      0.0371035002171993,
      0.0323915742337704,
      0.026868836954236,
      0.0944130122661591,
      0.122224941849709,
      0.0804077610373497,
      0.0375424772500992,
      0.0335933305323124,
      0.0355550833046436,
      0.0335097350180149,
      0.0295983254909515,
      0.0317207686603069,
      0.0312649235129356,
      0.0261454917490482,
      0.0246788784861565,
      0.026453509926796,
      0.0242153443396091,
      0.020605992525816,
      0.019987728446722,
      0.0191846173256636,
      0.0169346611946821,
      0.0158195402473211,
      0.0143600534647703,
      0.00895974412560463,
      0.00531186908483505,
      0.00368881016038358,
      0.00224040169268847,
      0.0268655084073544,
      0.0478819645941257,
      0.0655246302485466,
      0.0736474469304085,
      0.0598158985376358,
      0.0490712523460388,
      0.0388840585947037,
      0.0319679863750935,
      0.0255547575652599,
      0.0236105918884277,
      0.0197895057499409,
      0.0185617785900831,
      0.0317216664552689,
      0.0516408234834671,
      0.0705003514885902,
      0.076586477458477,
      0.059547383338213,
      0.0490932762622833,
      0.038297463208437,
      0.0308073628693819,
      0.0254963766783476,
      0.0229146629571915,
      0.0199333764612675,
      0.0179232116788626,
      0.0165969356894493,
      0.0155322821810842,
      0.0153641002252698,
      0.0141090555116534,
      0.0135860359296203,
      0.0122172059491277,
      0.0118155172094703,
      0.0106858611106873,
      0.0101135317236185,
      0.00910684652626514,
      0.00887489132583141,
      0.00787328742444515,
      0.00759346457198262,
      0.00683479383587837,
      0.00588862551376224,
      0.00456898845732212,
      0.00355133833363652,
      0.00265362719073892,
      0.00197276310063899,
      0.00147287524305284,
      0.00108586857095361,
      0.000759397109504789,
      0.000431351218139753,
      0.000224082192289643,
      0.0000283725403278368,
      0.0000101183159131324,
      0.0000100011338872719,
      0.0000099882745416835,
      0.00000951880520005943,
      0.00000867436847329373,
      0.00000821356115920935,
      0.00000790736339695286,
      0.00000683060534356628,
      0.00000575920603296254
    ],
    "energy_curve_sub_bass": [
      7.43260860537688e-8,
      8.46455473409223e-8,
      6.75467746573671e-8,
      1.00361628072312e-7,
      6.06674648132517e-8,
      9.54726765209854e-8,
      9.80405451245984e-8,
      8.5903086305653e-8,
      3.29663882398139e-8,
      2.00810894365542e-8,
      8.93069414108548e-9,
      1.33254639864053e-8,
      7.40970230676422e-9,
      6.21305672582204e-9,
      7.44646288130116e-9,
      1.13387570371063e-8,
      9.77703176629188e-9,
      1.58473846599665e-8,
      7.26744726522375e-9,
      6.32935412000551e-9,
      1.41991618130115e-8,
      8.31471509998955e-9,
      5.31259351309678e-8,
      7.15587554133248e-8,
      1.0327890938626e-7,
      1.4121592978204e-7,
      2.19430373503274e-7,
      5.24647147841318e-8,
      2.53304774459092e-8,
      2.55000348994856e-8,
      7.56189553764258e-9,
      7.53027391109584e-9,
      9.69865239662179e-9,
      5.32753757583092e-9,
      6.10345768645812e-9,
      9.30435410542105e-9,
      1.58881434582706e-8,
      6.61886472257613e-9,
      1.15188746826676e-8,
      6.72124245418501e-9,
      2.23734346541603e-7,
      8.22395058933425e-7,
      0.00000132666853413337,
      4.8939371534903e-8,
      0.000001842339990875,
      0.00000585966015106341,
      8.83493303991519e-7,
      0.00000180859607056589,
      2.36414239467932e-7,
      0.00000508506470257741,
      0.0000079045737448487,
      0.0000010871094925557,
      0.00000180268544786889,
      1.87339114313579e-7,
      0.00000742375612162258,
      0.0000090051309069255,
      0.00000157975737576642,
      9.83225283062166e-7,
      3.30280369990327e-8,
      0.00000653384275429325,
      0.00000149504814279903,
      0.00000128269619436358,
      0.00000167571086391573,
      4.64138346906273e-7,
      0.00000286021032150283,
      0.00000620496498731742,
      0.00000116936445209299,
      0.00000106747864347694,
      6.57020158552403e-7,
      0.00000694524917382493,
      0.00000889777366036824,
      0.00000285936141286926,
      7.74747790262342e-7,
      0.00000144526935478334,
      0.00000814175174503212,
      0.00000874997512742661,
      0.00000280344978097906,
      7.88580583672317e-7,
      3.59199841668511e-8,
      0.00000723220069284529,
      0.266631841616714,
      0.493719689447077,
      0.17754704598429,
      0.0198418480470583,
      0.00193617201517146,
      0.201728746592308,
      0.236075541003408,
      0.320020810274844,
      0.0541641305762458,
      0.00489618279062721,
      0.178604632094904,
      0.26142425734961,
      0.150775196346181,
      0.00961128570670777,
      0.000890919316875758,
      0.00221153370994649,
      0.220402644701786,
      0.193366770581102,
      0.013662688866033,
      0.00273347318808875,
      0.335671063550523,
      0.405341942376169,
      0.156335489979474,
      0.0140628344154867,
      0.0329433569732182,
      0.316973414261475,
      0.355415442069581,
      0.148105934511192,
      0.0168206811309257,
      0.0719419687929191,
      0.22959155336819,
      0.0728790294069235,
      0.0085165228142446,
      0.134111458155289,
      0.0687703300684389,
      0.00649966545487255,
      0.00058569364923975,
      0.000051550327426761,
      0.0000117544778831286,
      0.154404554252615,
      0.426794577351202,
      0.315957240179163,
      0.0456613525935248,
      0.00453050050645487,
      0.137654526968779,
      0.225903151918116,
      0.319218217651155,
      0.13278750362545,
      0.0122204049587453,
      0.138916582925298,
      0.26766388699739,
      0.180074491803237,
      0.0249893384773609,
      0.00210900964426268,
      0.000204995450608107,
      0.156800145666363,
      0.237079658155556,
      0.0347678292734632,
      0.00292425984868064,
      0.00017134729349792,
      0.00000144423849299014,
      1.96746244735966e-7,
      1.81241717221409e-7,
      0.00000228990532156777,
      0.0000059583603995627,
      0.00000117960970745163,
      2.08901519499474e-7,
      0.00000127955141612109,
      0.0000044740952505378,
      0.00000880744504682912,
      0.00000159287937859239,
      3.66341954070274e-7,
      0.00000473118801599138,
      0.00000503985552705277,
      0.0000082695844374455,
      0.00000158277838918209,
      1.64172073160182e-7,
      0.00000472113420814355,
      0.00000221503964745439,
      0.313163573165389,
      0.546224263709757,
      0.0979724980411381,
      0.010979163649884,
      0.00643183144969355,
      0.231848174161612,
      0.277203663055056,
      0.273486034105019,
      0.0302233994308921,
      0.0368026736891058,
      0.248842460465934,
      0.253722984029557,
      0.0617506862479338,
      0.00547699810550357,
      0.000480392371859604,
      0.0842463052538891,
      0.250746544111096,
      0.0831007889627649,
      0.00752809506080996,
      0.140388656597303,
      0.302021546560343,
      0.378609742316251,
      0.0821411547284435,
      0.00725939866434552,
      0.147601450793649,
      0.332027435554274,
      0.277810094740597,
      0.0957114679061088,
      0.00927308959112449,
      0.15108455042799,
      0.179734140739255,
      0.0476919917615413,
      0.00459760571502132,
      0.166633055803851,
      0.0393518252573256,
      0.00345165428710142,
      0.000318960766844973,
      0.0000292527687068545,
      0.00000841646173966793,
      0.00000126021238362934,
      0.00000123852740403351,
      1.53528555610998e-7,
      2.4583367477631e-8,
      0.00000240525012528555,
      0.00000569656250221856,
      0.00000139646814115674,
      4.89018628395764e-7,
      5.65942053598419e-8,
      0.00000714718625250176,
      0.00000755657481841425,
      0.00000144762940338865,
      4.00272334738711e-7,
      0.00000241322943479809,
      0.00000575456413514222,
      0.00000717404785456579,
      0.00000142638068111715,
      1.32660027229965e-7,
      0.00000435510152265406,
      0.0000024039444410725,
      0.00000118560261248532,
      0.00000203614030094532,
      0.0000016033167683361,
      0.00000215225913544591,
      0.00000118772803917192,
      0.00000577925658604486,
      0.00000213029532130508,
      7.95195350747941e-7,
      0.00000543043528151245,
      0.00000459446749771102,
      0.00000634531706619191,
      0.00000286460185614222,
      0.00000109937421956437,
      0.00000761501300655073,
      0.00000728604159993641,
      0.0000034181055074572,
      0.00000196654403662919,
      1.24865816619976e-7,
      0.00000605609475517456,
      0.101536849648617,
      0.400326394598426,
      0.392289686424633,
      0.0590175613984009,
      0.00616975726160947,
      0.106046370803061,
      0.221013053842382,
      0.30863490601704,
      0.175910324231319,
      0.0166150645097749,
      0.116315416525124,
      0.265381968780712,
      0.190112815304519,
      0.0319848333812283,
      0.002940348753059,
      0.000277863090542361,
      0.1374322809349,
      0.239159826689026,
      0.0462349730343425,
      0.00387905713619381,
      0.22329487965468,
      0.312499515107288,
      0.314601142124775,
      0.0463712084897084,
      0.00391683434642991,
      0.211601264509082,
      0.370001933644745,
      0.220991012442148,
      0.0540702090697061,
      0.00510808918327945,
      0.201633827607534,
      0.149781733070191,
      0.0271342209756272,
      0.00257693494999095,
      0.188689075603555,
      0.0211217620334555,
      0.00191586320374418,
      0.000177830487095062,
      0.0000205193478166942,
      0.00000353804236343159,
      0.293321980139993,
      0.504934917838684,
      0.151133430351642,
      0.0145613493743688,
      0.00146023784883397,
      0.207906990274207,
      0.24850856316341,
      0.324525406879722,
      0.0398249567051562,
      0.00382008751042798,
      0.202379277703503,
      0.29193900435949,
      0.0975286520658059,
      0.00715758558508931,
      0.000619842929192645,
      0.0418836983031631,
      0.248856228139601,
      0.126897193512697,
      0.0103608476854952,
      0.000822692097696714,
      6.56431608909569e-7,
      0.00000150296475250725,
      1.3250363273583e-7,
      0.00000234195422413927,
      0.00000568762969737327,
      9.68980787632075e-7,
      0.00000136926916983255,
      8.47372310832551e-8,
      0.00000567419922453657,
      0.00000841085340576627,
      0.00000206739944938352,
      0.00000118552376221092,
      1.98989740548332e-7,
      0.00000745816557281912,
      0.00000856872075860572,
      0.00000126618690542702,
      5.72587837163593e-7,
      1.11437150126481e-7,
      0.00000586281533932517,
      0.203369001192829,
      0.448096927863056,
      0.261159807635937,
      0.0360430886320978,
      0.0033629914205934,
      0.15856776479721,
      0.231037767535729,
      0.325357799016302,
      0.0995493767003776,
      0.00898069218328268,
      0.15741721757529,
      0.261603802362992,
      0.167921280813549,
      0.018210302747147,
      0.00166783268550194,
      0.000153910324734802,
      0.16760676118895,
      0.231217157886419,
      0.0252751275491732,
      0.00218627592167678,
      0.288809575373395,
      0.309596797304089,
      0.282536610300959,
      0.0246131012823658,
      0.00217720801226509,
      0.247747154485204,
      0.379629910621758,
      0.187650605562965,
      0.0294129942202066,
      0.00280903578452665,
      0.230702404502399,
      0.132090563486994,
      0.0145442533553651,
      0.0791690202454639,
      0.11847697518485,
      0.0115896211136111,
      0.00104457776946248,
      0.000095092102738535,
      0.0000145782816746699,
      0.0188953047239561,
      0.381431491477635,
      0.485387130059673,
      0.0697853171212827,
      0.00831429937379398,
      0.0568504676348465,
      0.228269963540789,
      0.301142334868087,
      0.220218091601105,
      0.0225672427029384,
      0.0821644849508292,
      0.258623147657789,
      0.217845541255669,
      0.0412338975555594,
      0.00404504911281655,
      0.000357645925436355,
      0.117756312141142,
      0.246086165722195,
      0.0602789093015113,
      0.00544216038773847,
      0.000423058567628847,
      0.000001054165268959,
      0.00000191290078356985,
      3.58345680505649e-7,
      0.00000357307035350573,
      0.00000598205755242567,
      0.00000185758504270752,
      0.00000107573988020274,
      6.1921337013315e-7,
      0.00000591896367202922,
      0.0000101611105761098,
      0.00000261506118837222,
      7.45188445314208e-7,
      0.00000164225359633029,
      0.00000945882885418234,
      0.0000093364440455203,
      0.00000233249448256702,
      4.70242421538883e-7,
      2.58534689676334e-8,
      0.00000149565181377211,
      0.267976240381266,
      0.484631750753636,
      0.173562808855894,
      0.0196094705699047,
      0.00194954893077071,
      0.196283306875753,
      0.234625590588161,
      0.328311358771895,
      0.0538858768562458,
      0.00495200827262661,
      0.17982397596232,
      0.261554882130266,
      0.151378548671455,
      0.00958975155600992,
      0.00089305021733026,
      0.00218714795101106,
      0.220966556999919,
      0.19233148235776,
      0.0139148181407981,
      0.00269759705968103,
      0.337744739302648,
      0.401752383552396,
      0.154985466461971,
      0.0138442158560444,
      0.0316261495952253,
      0.308859326758798,
      0.352921458375399,
      0.145541005389793,
      0.0165946388668187,
      0.073289998610858,
      0.227687938983015,
      0.0719608290407527,
      0.00818025498756761,
      0.133579144553883,
      0.0689318640716464,
      0.00636177170685563,
      0.000589057117512901,
      0.0000522091124358969,
      0.0000120751042797928,
      0.00000895075738845496,
      7.47768468604033e-7,
      8.6851725498181e-7,
      7.17425729618166e-8,
      0.00000271569007801307,
      0.00000636889957213774,
      0.00000135565291861328,
      6.04940247658873e-7,
      2.6972957561194e-7,
      0.00000726776562111173,
      0.00000939032728511408,
      0.00000239247902273592,
      8.8503262508049e-7,
      1.75884595669138e-7,
      0.00000650700101173887,
      0.00000775374097838804,
      0.00000120967300677455,
      3.40814883382433e-7,
      1.1566298973172e-7,
      0.0000104001255068333,
      0.00000142138580468373,
      0.00000153606280266127,
      4.0571164304787e-7,
      5.06908800685007e-8,
      0.0000025744956566692,
      0.00000631220789034043,
      0.00000162953338887994,
      4.10401658126509e-7,
      0.00000167750323760605,
      0.0000046775518848149,
      0.00000801443366360205,
      0.00000293011775234299,
      3.65606084456228e-7,
      0.00000534181794960113,
      0.00000229127656926555,
      0.00000819394101866224,
      3.13495159810866e-8,
      1.29579235808069e-8,
      3.04824423739452e-9,
      1.32846246067063e-10
    ],
    "energy_curve_low_mid": [
      0.00169184573269506,
      0.00120532303643535,
      0.00240956216697906,
      0.00287186552917261,
      0.00148193418090374,
      0.00124793419979,
      0.00191767332264402,
      0.00725138203329976,
      0.00973441696758666,
      0.00240946884888031,
      0.00429488163854143,
      0.00568132833806105,
      0.00190095975339695,
      0.00288265914410728,
      0.00135191605903832,
      0.00611420316282612,
      0.00728219800229189,
      0.00239588675931931,
      0.00241082909639322,
      0.00584056058499274,
      0.00340629605412941,
      0.0010389305532147,
      0.00252947075580369,
      0.002284369557891,
      0.00403438313049302,
      0.00351612730811382,
      0.00388284068841442,
      0.00657688998119237,
      0.00496261919941227,
      0.000713378305045209,
      0.004706430814391,
      0.00488966766354051,
      0.0025860160484518,
      0.00268781912855946,
      0.00262924618275402,
      0.00656903489219085,
      0.00554593510451453,
      0.00137066533716042,
      0.00330460297941512,
      0.00424966164380186,
      0.00952357077524088,
      0.0246726074134221,
      0.00981646856362659,
      0.00667709753766811,
      0.0192565889679068,
      0.022546121205407,
      0.0260237427239102,
      0.0125428406756687,
      0.008258691669245,
      0.0167757150566549,
      0.0187280046420672,
      0.022019476153691,
      0.00920266185835974,
      0.00583670210396104,
      0.0200973406566075,
      0.0178832081368186,
      0.0168531519652023,
      0.00678051526648928,
      0.0026951821202818,
      0.0193367782277162,
      0.0288012703537326,
      0.0188109053025824,
      0.0159833449073494,
      0.0113638113768852,
      0.0337616652697036,
      0.0328529937639,
      0.0224301297869632,
      0.0206757702138128,
      0.0120199611954675,
      0.0295149951277343,
      0.0405241661502677,
      0.0286022639958597,
      0.0178536627983813,
      0.0118169528517526,
      0.0304725484299865,
      0.0314246552904569,
      0.0180691827170064,
      0.00751328551353091,
      0.00319729728546548,
      0.0262926371398351,
      0.0953141538199606,
      0.0896611989192064,
      0.083022054702179,
      0.00420201983852678,
      0.0179137598015936,
      0.0928095192778481,
      0.0651961953270197,
      0.0641286114241539,
      0.00637406719289288,
      0.0197664274567183,
      0.0884610750858388,
      0.0738181530263097,
      0.0475138605665,
      0.0124703147923209,
      0.0194728283112104,
      0.0369597923732445,
      0.0891690929755506,
      0.0192852815065887,
      0.0140564550238441,
      0.0360421526361935,
      0.155708591518338,
      0.0816493048892177,
      0.00676664278174268,
      0.0142335362617867,
      0.0731338290527928,
      0.094939603430272,
      0.0722304948301812,
      0.00566126203692279,
      0.0140381040582349,
      0.0735728799989078,
      0.0948316877145629,
      0.016908529167934,
      0.0072759152259345,
      0.0784964730932994,
      0.0190324151647869,
      0.0206638823759462,
      0.0060575777165784,
      0.006314396241609,
      0.0211642049973028,
      0.0970853164715756,
      0.0932027638525848,
      0.0817603746551775,
      0.00526107406615712,
      0.0194336786399366,
      0.0828099659932642,
      0.0721243457996105,
      0.0647573492327006,
      0.00809936044564555,
      0.0217553657441881,
      0.0792332365677122,
      0.0714158958291187,
      0.0550018435891844,
      0.0105504891292025,
      0.0245208741065002,
      0.020966234571123,
      0.0647911411198919,
      0.0565211142629485,
      0.00345111827971486,
      0.0256905883691286,
      0.0224863827439345,
      0.0218661227247664,
      0.0146479574951916,
      0.010471949342356,
      0.0227719231052538,
      0.0257433605382837,
      0.01950356005479,
      0.0176219229516803,
      0.0103799315510115,
      0.0221317791832195,
      0.0353263843482935,
      0.0181863121747072,
      0.0147505281146238,
      0.00858003045741744,
      0.0256789368943034,
      0.0293703673992804,
      0.00511044081611961,
      0.00504755860647793,
      0.00402568418805316,
      0.0195922878280345,
      0.135326730412053,
      0.13009097235982,
      0.0140564705035281,
      0.00951959196334121,
      0.0396778593623435,
      0.114438859387186,
      0.0715841743465061,
      0.0196774884025682,
      0.0131732503506614,
      0.062568449951618,
      0.0915425109157992,
      0.0548837673078931,
      0.0167795363729756,
      0.0186167576777487,
      0.023830457965257,
      0.067542472794096,
      0.0610900288187225,
      0.0106724507457228,
      0.0232792276224656,
      0.095382805281739,
      0.0948305645717853,
      0.0778399250336667,
      0.00558142658407708,
      0.0231041217045337,
      0.0868956161213589,
      0.083854931080593,
      0.0769672885315864,
      0.0057313609360197,
      0.0203008077269318,
      0.090509666883403,
      0.082399308714094,
      0.0108773869558448,
      0.00260471409782562,
      0.0822424574325566,
      0.0325486772774445,
      0.00740966229558347,
      0.00311340772497261,
      0.00427261275525334,
      0.0273422900614047,
      0.0244867542424123,
      0.0118403473189745,
      0.0123645908086783,
      0.00162337076715072,
      0.0354088302527053,
      0.0258679802700311,
      0.0135549451307779,
      0.0132710528630924,
      0.0021409504142769,
      0.0241928567982427,
      0.0307786664403152,
      0.00631218515705043,
      0.00960614770374343,
      0.00158489054631539,
      0.0269568704568585,
      0.0207842967009051,
      0.0113928496553917,
      0.00437032460214999,
      0.00215567690518113,
      0.0271581559236174,
      0.0333025932582351,
      0.013023658661214,
      0.0139154369958005,
      0.0209009632854044,
      0.03300071538147,
      0.0335727432564783,
      0.0193658114984005,
      0.0162428441820005,
      0.019325321937469,
      0.0284423796394252,
      0.0449676657713133,
      0.0189577959519397,
      0.0185232897426313,
      0.0201799722622318,
      0.0258681960661687,
      0.0279964231116684,
      0.0145072721395454,
      0.00174781923172427,
      0.0184138558198671,
      0.0947035257477623,
      0.0977084157998287,
      0.0809536492277586,
      0.00648590779065971,
      0.0158660488013398,
      0.0719929798424951,
      0.0778719530642541,
      0.0635917923985569,
      0.00958131439763352,
      0.0187185706617748,
      0.0725360709115676,
      0.0782616519099211,
      0.0550122736106571,
      0.00986275319462827,
      0.0227305712177764,
      0.0187324960446814,
      0.0658878251145854,
      0.0569908897355714,
      0.00705044002722154,
      0.0219638328489945,
      0.0969916767014661,
      0.0887090738118127,
      0.0772683503186167,
      0.00426098580223685,
      0.0192087407257612,
      0.0884039710357091,
      0.0760788519040084,
      0.0701517287880899,
      0.00424227639988723,
      0.0202206161472222,
      0.0911464313246031,
      0.0778013864852101,
      0.00720687760860719,
      0.0058000860849148,
      0.0823099288339383,
      0.023384371087145,
      0.00511925233724723,
      0.00390200385838939,
      0.00244215789295368,
      0.000954959231887084,
      0.0979808395383947,
      0.0895787631221261,
      0.0799407775697633,
      0.0069669165811243,
      0.0146182277890926,
      0.088756023272474,
      0.100374251733287,
      0.024816340934835,
      0.00910820983425469,
      0.0195032413033794,
      0.122084393620717,
      0.0641926285951699,
      0.0188587028211337,
      0.0125472634463859,
      0.0302596943779624,
      0.0642437743810712,
      0.0629951803427854,
      0.0136992499484829,
      0.0172756401745328,
      0.0180771921803743,
      0.0242015323253118,
      0.0206703842604694,
      0.0134210363695048,
      0.0198994577298958,
      0.0131060966547092,
      0.02894262616385,
      0.0183435200259097,
      0.0164899673764417,
      0.0202160848530834,
      0.0233544967110132,
      0.0274716582025194,
      0.0175359935101448,
      0.0118867852800296,
      0.0249931011056962,
      0.0252069848256724,
      0.0146064455086614,
      0.00439226968542424,
      0.00232569248885354,
      0.0205020626856055,
      0.094372817133151,
      0.0934424102835112,
      0.0830654970200716,
      0.004999829242152,
      0.0189498179211943,
      0.0853336118440271,
      0.0726890497373086,
      0.0726643000310948,
      0.00772215628028012,
      0.0247269993322324,
      0.0877521131532555,
      0.0663660142719758,
      0.0569420992069612,
      0.00613649769616727,
      0.0317321215928532,
      0.025827080960779,
      0.0644755703407632,
      0.0558860910364208,
      0.00850037995325377,
      0.0239136891247029,
      0.102888791298578,
      0.0852617489267082,
      0.0797556489814954,
      0.00646825731768674,
      0.0225162055082461,
      0.0955943497631477,
      0.0856791168052366,
      0.068364781133523,
      0.00386377448562916,
      0.0219213214613355,
      0.101131011426778,
      0.0695407349291812,
      0.00535261465411539,
      0.0588517283907946,
      0.0353642597581457,
      0.0272311774354004,
      0.00397765664167065,
      0.00453759349253734,
      0.014104697097312,
      0.0898232613677276,
      0.103278627066295,
      0.0951988733160026,
      0.0229669131741908,
      0.0162588271758418,
      0.0785388689744548,
      0.0828326128560593,
      0.0741626710044364,
      0.0276296678516112,
      0.0139161804954125,
      0.072218273782118,
      0.0905551800706409,
      0.0623897249725633,
      0.0261854313641898,
      0.0113105199678702,
      0.0197963666556756,
      0.0739822520006693,
      0.0711356318850104,
      0.00940787866943768,
      0.0108705310209049,
      0.0324228197887351,
      0.0195448116274346,
      0.0155902187476645,
      0.0114071305506945,
      0.0334027246564573,
      0.0321337756105198,
      0.0219598031811409,
      0.0208213979729529,
      0.0120335862411366,
      0.0293417732818818,
      0.03986549985245,
      0.0290788823207361,
      0.018002651028999,
      0.0115992798649936,
      0.0303815727578064,
      0.0306180153898446,
      0.0178365509846071,
      0.00460846919414904,
      0.00303233184774198,
      0.00672700628786311,
      0.0930504910048424,
      0.0861228403891213,
      0.0781488259571985,
      0.00235322523873448,
      0.01870843107817,
      0.0835270118600104,
      0.0641830614716873,
      0.0656950177907713,
      0.00458360823368927,
      0.018950266870968,
      0.0879852182196488,
      0.074495143829365,
      0.0462948369663761,
      0.00689822363346162,
      0.0205959205205559,
      0.034140377942291,
      0.0897296057037128,
      0.0193366799158731,
      0.00835456800235722,
      0.0377298546862049,
      0.153469182523623,
      0.0786658543297403,
      0.00611566889444135,
      0.0153966545620619,
      0.0723056607120684,
      0.0953561960163786,
      0.0717117229712346,
      0.00532111825818758,
      0.0138144578001163,
      0.0722710429856981,
      0.0921900708834647,
      0.0148731289553047,
      0.00394315328749842,
      0.0742664770254032,
      0.0202172965514076,
      0.017121155953087,
      0.00281827658766633,
      0.00292399975476506,
      0.0198956228627383,
      0.0198811212141761,
      0.0152615416250565,
      0.0093605616807011,
      0.00398372684874664,
      0.017351670794244,
      0.0223585620023139,
      0.0170215151460866,
      0.00890890777091001,
      0.00710616041243481,
      0.0199819069962807,
      0.0215653635680674,
      0.0134428037381342,
      0.00944801704769506,
      0.00377271523880453,
      0.0194405035857326,
      0.0180427053771481,
      0.00667303925376026,
      0.00298152299681508,
      0.00233205361564631,
      0.0235689507098862,
      0.0310590462120746,
      0.0145441209846592,
      0.00759735208617954,
      0.00116696907040758,
      0.0198926476136915,
      0.027298304053996,
      0.00844448441068452,
      0.00847931171334354,
      0.00440697020348014,
      0.0217518979698545,
      0.0284635802758076,
      0.00941202227312998,
      0.00611575571846755,
      0.00237173872245845,
      0.0194518606201926,
      0.0211916616408644,
      0.00239306513636894,
      0.000583432595403889,
      0.0000186740645459157,
      4.30285015490515e-11
    ],
    "energy_curve_mid": [
      0.0473942206072751,
      0.0455234870545977,
      0.0642514614790562,
      0.0895753455456492,
      0.0113342278317317,
      0.0597224652027933,
      0.0261259788678517,
      0.0100890064965719,
      0.0132642392116553,
      0.00239133430249607,
      0.0323566051074094,
      0.022861331247493,
      0.0126381664777328,
      0.0701638467269741,
      0.0234275653361094,
      0.0166213761427105,
      0.0500145924075038,
      0.0494175381827851,
      0.101326132892479,
      0.0249282030159535,
      0.0767102309728442,
      0.0300399248374113,
      0.0791043415358557,
      0.0484165530544587,
      0.0427898208394183,
      0.0572738849047285,
      0.0288835865284035,
      0.0280268933345459,
      0.020346450944042,
      0.032212806642703,
      0.0225333004693648,
      0.0375505897296518,
      0.0249129074462819,
      0.0593449318227465,
      0.00634738247809348,
      0.0300826597015414,
      0.0534667496948116,
      0.061962960708908,
      0.0753081743620271,
      0.0166953511435056,
      0.0219210566893941,
      0.0069183723487095,
      0.0684885869420972,
      0.00745611837750762,
      0.0679362383361974,
      0.0177764571494188,
      0.0138410774771019,
      0.0696571947815838,
      0.00716614804336285,
      0.0812872166883531,
      0.0155486391549367,
      0.013885216242938,
      0.0830903846266828,
      0.00768640893850137,
      0.0751837014678788,
      0.0154848291533557,
      0.0362506719315206,
      0.0509916630259225,
      0.00318884061579701,
      0.0803249362043064,
      0.0191532296478107,
      0.120930990662457,
      0.0502603872938181,
      0.0332472284565367,
      0.120500643561138,
      0.0512557942755146,
      0.13157685812075,
      0.048459288099071,
      0.0319240648985932,
      0.140270048507389,
      0.0372279269561332,
      0.118145106544466,
      0.0221184591905749,
      0.0297617991920389,
      0.10678347407196,
      0.039460612451129,
      0.0898304260758567,
      0.0273111179839386,
      0.0335613054129904,
      0.144796315314897,
      0.0280864849559483,
      0.0794081896314447,
      0.0245692013185832,
      0.05079138532097,
      0.062894323823487,
      0.0307933673810135,
      0.0966512165876623,
      0.0210032833325204,
      0.083855937174306,
      0.0581051692562518,
      0.0548106326488338,
      0.131078616504663,
      0.0680769865504688,
      0.136920144940022,
      0.0375603262730104,
      0.0604515692546426,
      0.12851257423947,
      0.0580791422739375,
      0.122318456253926,
      0.00195806417378664,
      0.00315959263369922,
      0.111605407399024,
      0.0496741508463223,
      0.109982626255457,
      0.00208216717514966,
      0.0328370476927621,
      0.11522910421136,
      0.0405492277642726,
      0.105073282203885,
      0.0019831119575954,
      0.0681903414113623,
      0.124539123926727,
      0.0712088192169897,
      0.124334390830513,
      0.00564887077335988,
      0.0591637228188822,
      0.131958870568363,
      0.070834118905757,
      0.146165541767417,
      0.0572422527289065,
      0.0588185621053062,
      0.0699341774676027,
      0.042702764078849,
      0.0925809094976249,
      0.0401030201656984,
      0.0780549057988098,
      0.0500918509130845,
      0.0460214229728555,
      0.140315360424363,
      0.0736609392216492,
      0.155893870125784,
      0.102481770207858,
      0.0751721671284364,
      0.133683452077221,
      0.0647278817677263,
      0.16174422132472,
      0.0699638893573195,
      0.00345054650550349,
      0.0961514062595166,
      0.0185871498596383,
      0.0921105903604596,
      0.0196605163023473,
      0.0190972631449557,
      0.10446040586055,
      0.0351136285192074,
      0.113764312298239,
      0.0545836160340179,
      0.0403503961185475,
      0.0948704927316382,
      0.0227490454221804,
      0.103839148125179,
      0.0376632740832365,
      0.0667000044840095,
      0.0447122542760348,
      0.0123727489572029,
      0.12181936854174,
      0.0369042972449466,
      0.184782043765408,
      0.165650427959966,
      0.0952434897681333,
      0.192064152820513,
      0.0619719097219112,
      0.0925305008903195,
      0.0768227069707489,
      0.0405110901671113,
      0.0752921060087686,
      0.00785194283676113,
      0.109246081282449,
      0.0278062274182643,
      0.0393770780723275,
      0.10956692331881,
      0.0618055276444078,
      0.0770962095481095,
      0.039957780680906,
      0.0561001388522161,
      0.127066311845995,
      0.0951313271387471,
      0.109491404852475,
      0.0865369559859644,
      0.0803427072160037,
      0.141139813839557,
      0.0345526858584744,
      0.14415323037679,
      0.0606740787732299,
      0.0793372613194999,
      0.0675837807423256,
      0.0124385989969882,
      0.127074813252594,
      0.0523357643566454,
      0.107270096926287,
      0.0406181933664806,
      0.0459878912865071,
      0.105856905212279,
      0.053002324271642,
      0.128947503520954,
      0.0683114008891552,
      0.096596452121654,
      0.150553369154107,
      0.0313459333813092,
      0.0868104843224971,
      0.0122419267419458,
      0.00389709475762354,
      0.105867020807124,
      0.0254383844389788,
      0.0732305951765278,
      0.0148898418591192,
      0.00426143433311301,
      0.103196326325153,
      0.0230546651967835,
      0.0888662142446801,
      0.0143674068484919,
      0.0161906190506551,
      0.0801652087764162,
      0.0248899808007401,
      0.0797496081974011,
      0.0089026681348542,
      0.0534718107788618,
      0.065672690668067,
      0.0363714743822915,
      0.129621851029844,
      0.0404405905835364,
      0.102388402910291,
      0.0655111354997956,
      0.0548975806010107,
      0.127929177532006,
      0.0417760828443154,
      0.109082850497263,
      0.0671020360620861,
      0.0471613247948283,
      0.100517335193377,
      0.0322654984876503,
      0.103343303984617,
      0.0310615866752042,
      0.0353029320622561,
      0.0901666602948363,
      0.0377982710526742,
      0.138503754574429,
      0.0434554926630864,
      0.0325750826989377,
      0.0886090646579305,
      0.052002604436488,
      0.107793951998603,
      0.00186837884277904,
      0.0376404302360689,
      0.0758910626288138,
      0.0631073829728953,
      0.100288948997758,
      0.00202697660422933,
      0.116485076009961,
      0.0841835036380679,
      0.0488815369742699,
      0.0950351653538289,
      0.0537009640928712,
      0.126513800374721,
      0.054656202619097,
      0.0559622888219242,
      0.0876909469959747,
      0.00112030660511904,
      0.124974728536026,
      0.0323487946888198,
      0.072841734917012,
      0.0941874379882039,
      0.00219113907426664,
      0.114204367475731,
      0.03983656258153,
      0.0656393094722662,
      0.0879845372615509,
      0.0384763992103693,
      0.14034423150929,
      0.0495089781617773,
      0.0623477313261539,
      0.0857902769804509,
      0.0705194644086781,
      0.135205560295937,
      0.0527395723054267,
      0.103857055635166,
      0.124045671167136,
      0.0459552867123475,
      0.107946570431453,
      0.0410231344311744,
      0.110201460865362,
      0.0193003087615256,
      0.0265498481287508,
      0.0987414594237418,
      0.0487897285799758,
      0.132343630658941,
      0.0885441198711742,
      0.0773649246976409,
      0.142998507579981,
      0.0674705805542988,
      0.118159762087084,
      0.0184996387304655,
      0.0807844240523175,
      0.147151107756437,
      0.0652734665211518,
      0.130323634899346,
      0.0199048162958081,
      0.0180224309398427,
      0.100212189325725,
      0.0172146132254349,
      0.0991401353887366,
      0.0380694276886999,
      0.0351848569465485,
      0.120305918724339,
      0.0592229763900547,
      0.0982627026004478,
      0.0260299102708544,
      0.0463950727801011,
      0.0913888460140597,
      0.0328305632175944,
      0.0962225551938758,
      0.0136775501184566,
      0.0925947155370635,
      0.0575795554887429,
      0.0684907092873576,
      0.237652604776716,
      0.113342115783718,
      0.180695672781911,
      0.136788404036201,
      0.0170630836983048,
      0.157370759327163,
      0.0439137257260944,
      0.0719191539841461,
      0.0161642994720865,
      0.00482522010530235,
      0.127469993087186,
      0.0381233092514979,
      0.0884936391612707,
      0.0714269451637,
      0.0251235495159402,
      0.0892553997036531,
      0.0692374380413926,
      0.114569637439842,
      0.101853605812508,
      0.0286476160906292,
      0.169277215901202,
      0.0428401902560131,
      0.154901490852614,
      0.0485909172480594,
      0.0687102518231669,
      0.119759438261438,
      0.0555515662765774,
      0.111815164805409,
      0.0214901306105857,
      0.0945278737459376,
      0.0507428096026888,
      0.0561140921996293,
      0.107328253564953,
      0.0609974482723042,
      0.0841335732012731,
      0.0448549000223026,
      0.0669827358542769,
      0.137288360488795,
      0.108588896691893,
      0.140565012138564,
      0.0467928294478883,
      0.0462483891760507,
      0.100654206740666,
      0.0390841856624692,
      0.108491103869316,
      0.0731783355112884,
      0.0387869741689807,
      0.0960038302274055,
      0.0373018799306417,
      0.122861078665188,
      0.0496378023524009,
      0.0306340319864955,
      0.0959543703992151,
      0.0263394785677291,
      0.100901275181638,
      0.0501067171908764,
      0.0694231807307996,
      0.0695447987510934,
      0.00462535945974197,
      0.109451888865772,
      0.0482630172231794,
      0.103612181247536,
      0.0497508142371611,
      0.0331198541619838,
      0.109310977393459,
      0.0382211399785265,
      0.113469349502113,
      0.0491460734115556,
      0.0323323724699652,
      0.124324350571732,
      0.0294976105135835,
      0.0973697570372921,
      0.0225047404859057,
      0.0293893894671144,
      0.0981334548734829,
      0.0289912628252859,
      0.0886818045964879,
      0.00454570097908934,
      0.00720368889262175,
      0.13579726358978,
      0.0311738128077267,
      0.089829823096166,
      0.00731566588097942,
      0.0300059279706215,
      0.107777312536119,
      0.026192566979083,
      0.0747710258107022,
      0.0203766712448898,
      0.0541026711014384,
      0.0785969837586253,
      0.028685965940698,
      0.0774202552790706,
      0.00403400398231982,
      0.0752250329830252,
      0.0163494761332593,
      0.0182051922257883,
      0.066822015268573,
      0.0079144506739243,
      0.0799836849761343,
      0.0247880875476823,
      0.0295979527941784,
      0.097846713908067,
      0.00252630380295698,
      0.101235731780103,
      0.0131604642309271,
      0.00838731390839382,
      0.0994500145422896,
      0.026670274372793,
      0.0943405646488678,
      0.02226560691467,
      0.0297958245690339,
      0.091827466838119,
      0.0125800135072531,
      0.0785960370762461,
      0.00335265501280432,
      0.0389942117969199,
      0.0726546749663281,
      0.00453381958835654,
      0.124497815948335,
      0.0275792489522269,
      0.0362500932157345,
      0.0315189139920539,
      0.00132702864575322,
      0.0881272916151557,
      0.0208575813656286,
      0.0579796182730567,
      0.0110544084212924,
      0.0014265470714274,
      0.0964247208385754,
      0.0130589306309243,
      0.073778255842928,
      0.00311745328424592,
      0.00131947356751079,
      0.0976663843006369,
      0.0153891392497107,
      0.0692288771796768,
      0.00125367741061519,
      0.00139096097264316,
      0.103508521134358,
      0.011578634248296,
      0.0792375416557458,
      0.00389454694067244,
      0.00100274480876933,
      0.114133257098248,
      0.0083377088339467,
      0.0822330448257715,
      0.00341561672270517,
      0.00845547922699351,
      0.0942797016455196,
      0.00500815011667078,
      0.0767823441240894,
      0.00185590769820125,
      0.000543665613410129,
      0.00147619327993823,
      0.00221798479501331,
      0.00020286342305496,
      0.0000375199740933545,
      4.69125213647906e-7,
      4.95895607463553e-10
    ],
    "energy_curve_high": [
      0.00663522887533527,
      0.00801456652133621,
      0.00204091401544277,
      0.00300297326627198,
      0.00201546309808325,
      0.00348312438097622,
      0.0200162110227376,
      0.00605418527763854,
      0.0102400105003373,
      0.00256110596302692,
      0.00526339923727866,
      0.00620277245178781,
      0.00427955764589204,
      0.00659373487907341,
      0.00295760292743017,
      0.00498092785239005,
      0.00529759465822409,
      0.00391548624423834,
      0.0126468452795971,
      0.0037117285296892,
      0.0100413020427989,
      0.00396870000009827,
      0.00463957424292853,
      0.00434736577288525,
      0.0014830841433293,
      0.0139032373485928,
      0.00608281923439181,
      0.013846144010033,
      0.0118105485865227,
      0.00589220654944067,
      0.00560150219109362,
      0.00713004872786155,
      0.00819088515155801,
      0.00952346179909453,
      0.00221169479825715,
      0.0069072181358734,
      0.00482165178153124,
      0.00580459502841458,
      0.0217866392479449,
      0.00263383764798427,
      0.00396595365518454,
      0.00251814074314666,
      0.0796842365718402,
      0.00210721140011193,
      0.0829420194259597,
      0.00290468800214437,
      0.00581125959668469,
      0.0918592945392471,
      0.00273660431630004,
      0.111649418006306,
      0.0106206861694326,
      0.00639783589091346,
      0.101337282311382,
      0.00200181494570139,
      0.110294614707838,
      0.014483724975444,
      0.0425999605415943,
      0.0688430583684546,
      0.0024480401430758,
      0.112932298846047,
      0.017491846667802,
      0.113000391126833,
      0.0467981705456309,
      0.0538701913243806,
      0.14865665099693,
      0.0214119662911765,
      0.134680808466744,
      0.0299813605713367,
      0.0229644816373619,
      0.12740487499242,
      0.0206256883019841,
      0.118057897290876,
      0.0135188433306015,
      0.0113118191803332,
      0.109827632714573,
      0.00501126143717552,
      0.109822269354865,
      0.00248074376526029,
      0.00214642778184053,
      0.145412135632881,
      0.0682155700919459,
      0.122244168931828,
      0.0431549170203929,
      0.104473331108587,
      0.133822832749491,
      0.0426794476814636,
      0.146753714430337,
      0.0569300278133079,
      0.149457786066699,
      0.0793041106349069,
      0.0495854536247363,
      0.180149291216855,
      0.0957137080013927,
      0.146104354712409,
      0.0230761120742329,
      0.0964634278499769,
      0.167147805043223,
      0.0735808140408735,
      0.173315582551563,
      0.00954781732973077,
      0.0653188461082144,
      0.159057463400021,
      0.0307746394991254,
      0.167939925268829,
      0.0299126707479784,
      0.0396960894055967,
      0.159269421396149,
      0.0298775227656166,
      0.151297830670451,
      0.0572020241434561,
      0.135925562207056,
      0.147743372307943,
      0.102270948578719,
      0.155562362422762,
      0.0206395421519537,
      0.0945098814585802,
      0.143003312006041,
      0.106633819409802,
      0.163159146486924,
      0.0476665035772558,
      0.117342828372928,
      0.0895510699175508,
      0.0880674206085938,
      0.0966247375550525,
      0.0354726929763743,
      0.14133886385256,
      0.0515284848373612,
      0.075239468170637,
      0.197453992016991,
      0.0292786776672458,
      0.150149455806127,
      0.0554049483901832,
      0.0916267342684893,
      0.133532689367563,
      0.0131697428417137,
      0.15130608528701,
      0.0514802696414311,
      0.0267581970430344,
      0.118183649737328,
      0.00408764640295814,
      0.111832491797105,
      0.0142216165882386,
      0.0325194910775257,
      0.128188187331222,
      0.0108788247616506,
      0.116504473950853,
      0.0120234488351658,
      0.0247948289665617,
      0.0877935116470578,
      0.00248432790366112,
      0.119531123776567,
      0.024267337790018,
      0.0788071722446649,
      0.051003488216153,
      0.00456607514483041,
      0.111589472138546,
      0.0193417125909752,
      0.143116348115541,
      0.0756668344966732,
      0.0407549159571648,
      0.110328369785585,
      0.0246751274527242,
      0.112029350089725,
      0.0275173325060028,
      0.0317431136886392,
      0.125950715003811,
      0.0294645998486625,
      0.145473884062683,
      0.019017261240643,
      0.0289007575113659,
      0.13434313002772,
      0.03326788082376,
      0.129766212696829,
      0.0200910297075296,
      0.0262082890894094,
      0.138304116811719,
      0.0535162409877831,
      0.115633708785051,
      0.0233569829989428,
      0.0384056327388219,
      0.121028209636917,
      0.0439702645367442,
      0.121261982040412,
      0.0298828251392484,
      0.102308431584712,
      0.0763635390202041,
      0.0519827846212382,
      0.116520201998005,
      0.0204294107425655,
      0.130753761886851,
      0.0339736227980289,
      0.0522659499411708,
      0.118682270598705,
      0.0115994526231292,
      0.137512051008761,
      0.0474576059270571,
      0.0471310312355037,
      0.141084543980484,
      0.0040810584081926,
      0.0943653620891834,
      0.0261923450486296,
      0.0187005352465174,
      0.0848385282549147,
      0.00541046887677471,
      0.117353042348242,
      0.0234770918870895,
      0.017815272702005,
      0.117073067916587,
      0.0187676686349274,
      0.120422851096323,
      0.0195939076974672,
      0.0342986721087806,
      0.102408500033699,
      0.019482022621362,
      0.125172757600391,
      0.0182678800633308,
      0.0907380296760846,
      0.0485984863613319,
      0.0338058814935177,
      0.146208216862492,
      0.0524813499750124,
      0.174482130171496,
      0.0358876963735512,
      0.0358600331136975,
      0.155926821809231,
      0.0360942401610223,
      0.139300339319844,
      0.0329985123387514,
      0.0304570325230463,
      0.127923761591673,
      0.0272225203106885,
      0.129413172492181,
      0.00573617922636444,
      0.0205846773119352,
      0.123486764041021,
      0.020754831442955,
      0.141958572372944,
      0.0284193069508282,
      0.0689211410028893,
      0.13862618421466,
      0.0656488668038037,
      0.148585797459368,
      0.0142126283997106,
      0.071909151198235,
      0.115500451939176,
      0.0762573856827811,
      0.172688868052624,
      0.0142538146486007,
      0.121349865769346,
      0.0664222895510781,
      0.0760997821857885,
      0.13813935949821,
      0.0292932230270525,
      0.160647854915235,
      0.0342434014702523,
      0.0601707564330511,
      0.121809654908441,
      0.00717332239940054,
      0.137733133731045,
      0.0868334507208533,
      0.0568884342860118,
      0.129030389717972,
      0.00699418214820501,
      0.146687002325757,
      0.0492478475590338,
      0.0830761431567317,
      0.118868035121326,
      0.0246239367903303,
      0.16380476864191,
      0.054481875641459,
      0.0703248716733865,
      0.170215652935581,
      0.0547344052389711,
      0.159674382516146,
      0.05472323660037,
      0.091195533375934,
      0.156694198956566,
      0.0280473224800786,
      0.107077983957342,
      0.118494140473338,
      0.119858673624802,
      0.0278574379345702,
      0.0536079499105408,
      0.130217877353105,
      0.0373323194523742,
      0.149747053866176,
      0.049600179917612,
      0.0454270517253309,
      0.157227307047869,
      0.0482610337460484,
      0.172024815632806,
      0.0234403301630733,
      0.0414556208879613,
      0.143521680420638,
      0.0321080998926003,
      0.140681690859871,
      0.008810791392904,
      0.0187154809357204,
      0.132017110962226,
      0.0335536594745364,
      0.150666954697496,
      0.0162519052580979,
      0.0286019862157212,
      0.133271530917175,
      0.0460588402634543,
      0.102152310203144,
      0.0023117007805497,
      0.0499735683526655,
      0.107246522537668,
      0.0546719848305573,
      0.117616174475268,
      0.00548290395695163,
      0.106097892843306,
      0.0420781458846691,
      0.0620849953260551,
      0.167399682741794,
      0.0509984893066997,
      0.106841695406192,
      0.0328409968405491,
      0.0453955108588112,
      0.0982420602740155,
      0.0273057311332706,
      0.120338109793804,
      0.0465085068186583,
      0.0358060346912219,
      0.128955779324144,
      0.0135389133969002,
      0.143698753393711,
      0.0426743610952053,
      0.0258177724874278,
      0.122640581179648,
      0.0268699056832416,
      0.136683489357691,
      0.0405042247002232,
      0.0300201414743539,
      0.123620492508107,
      0.0308402465534344,
      0.128994062547269,
      0.0290940362607132,
      0.0682555557776015,
      0.0904715752466922,
      0.0349036759146995,
      0.144937566147865,
      0.0374325253840543,
      0.123082197951229,
      0.0255011107524829,
      0.0363707678317134,
      0.137503055281587,
      0.0318298273174172,
      0.130165442040825,
      0.0157142956694558,
      0.034774706441687,
      0.140062047138763,
      0.045087546654809,
      0.147799203895222,
      0.0184286311457272,
      0.0242326599817127,
      0.095140190254372,
      0.0457402578717569,
      0.125859387089469,
      0.02936216274296,
      0.0183075215642769,
      0.106591129853953,
      0.0231122135193904,
      0.129174290753701,
      0.0284532441008011,
      0.0167324878304902,
      0.107753178208699,
      0.0115087916830506,
      0.118505880149188,
      0.0196604030582777,
      0.0469071000559175,
      0.0717641510399758,
      0.00288499091885395,
      0.135877377926911,
      0.0251724525082305,
      0.114956566179172,
      0.0468901059351521,
      0.0541176280522346,
      0.147002978122442,
      0.021443032572561,
      0.132259190872334,
      0.0304501198460243,
      0.0229344485130082,
      0.127264026778788,
      0.0207859883260047,
      0.119944689980981,
      0.0134598517947514,
      0.0114188418588262,
      0.111647103764648,
      0.00499681375903795,
      0.109902983640178,
      0.00137900108510898,
      0.0021746909925958,
      0.143369854678374,
      0.0377091848884231,
      0.103617478151929,
      0.0252226659059293,
      0.0300465201662129,
      0.0967853631068522,
      0.0319798262906584,
      0.108883045864489,
      0.0408024503223337,
      0.0908352335407509,
      0.0748469568540307,
      0.039541048803487,
      0.124690420008127,
      0.0274161451414018,
      0.125647507394324,
      0.0174383433635416,
      0.0314923854124683,
      0.130265646765803,
      0.0252823678999413,
      0.145582019095016,
      0.0146877202032367,
      0.0351221924309411,
      0.13903346113803,
      0.0204187320017393,
      0.149526420583954,
      0.02102919103405,
      0.0236862578319572,
      0.144425712610377,
      0.0313592834808537,
      0.135057738646761,
      0.0272896231650045,
      0.034005110678155,
      0.137085404572101,
      0.0452637314870691,
      0.116639420942756,
      0.0166982395469963,
      0.0372999995153853,
      0.141633668941167,
      0.0568191055173962,
      0.133633027500457,
      0.0147610278048026,
      0.0406537921778892,
      0.0415331215405536,
      0.00100050487100916,
      0.0854752814163185,
      0.00240292071297776,
      0.0808889532755258,
      0.00712898225474727,
      0.0011112565478754,
      0.113322213445789,
      0.00191496176635586,
      0.103578330908079,
      0.00210788892697566,
      0.00108227996481668,
      0.107396481458046,
      0.00130889708411744,
      0.102827346370863,
      0.00111526676816748,
      0.0157859797955489,
      0.10814836021173,
      0.00243824319347898,
      0.10409148603263,
      0.00188785987737623,
      0.00115935962364216,
      0.114506602725382,
      0.00212616267171584,
      0.111265744562938,
      0.00159512250553371,
      0.0113066368554503,
      0.0914745336752323,
      0.00153662676905325,
      0.103586619323353,
      0.000920629456530606,
      0.000143284485158916,
      0.0000604022855781622,
      0.0000634818660757556,
      4.70355979345293e-7,
      2.51578039791263e-7,
      1.05276234969018e-7,
      3.41548718256208e-9
    ],
    "bass_treble_ratio_curve": [
      0.114123856559616,
      0.147074133781471,
      0.140657476188919,
      0.137727144375482,
      0.362080925977584,
      0.108807720811107,
      0.325074078126816,
      0.730654650196175,
      0.706262603913379,
      0.453484206453637,
      0.472685324616612,
      0.559224764878568,
      0.497266981223479,
      0.272596231845396,
      0.382969823720466,
      0.573143650717111,
      0.389671837902144,
      0.29093393073908,
      0.216324633824364,
      0.59782156959156,
      0.223737484908577,
      0.18686803388132,
      0.122956029104645,
      0.180801984147041,
      0.299967962334552,
      0.239737341927517,
      0.533894405967534,
      0.437062280352722,
      0.468437775642374,
      0.236213433636807,
      0.577074217387763,
      0.403098147063344,
      0.379437311131266,
      0.268883976639862,
      0.661255608953898,
      0.3320711529652,
      0.335862800291617,
      0.158255916719122,
      0.255472565825349,
      0.602678650732439,
      0.559111611618267,
      0.919951222288926,
      0.593490841649767,
      0.734661831916698,
      0.640891307571209,
      0.781313436134484,
      0.822152098077608,
      0.58049406640846,
      0.738840977036879,
      0.540119216941725,
      0.779713414191121,
      0.686234420195804,
      0.526453138384107,
      0.724465609251601,
      0.456028176055485,
      0.729436319070512,
      0.760331859103299,
      0.520528775647592,
      0.632332022238648,
      0.532965387647941,
      0.815267285076251,
      0.421594898278001,
      0.522732532082539,
      0.493972444287228,
      0.531770197537153,
      0.666855326077231,
      0.482435729156442,
      0.588950162239367,
      0.5629553660602,
      0.478370506626568,
      0.769287674574786,
      0.572513013692946,
      0.733570859200227,
      0.577248003064914,
      0.652913839152362,
      0.739053965478947,
      0.615625575904678,
      0.486762311554822,
      0.249567830924868,
      0.500081066978845,
      0.831754185051982,
      0.982553746926782,
      0.974830874736461,
      0.688807177913763,
      0.786772356789577,
      0.970541859533646,
      0.951545253164432,
      0.987391307472084,
      0.818569542897986,
      0.789608516329369,
      0.945711863589812,
      0.931111927080655,
      0.897531798520949,
      0.544972652724364,
      0.780644894005629,
      0.547658378789094,
      0.926787665470149,
      0.939399865449626,
      0.620609302149978,
      0.955640648178139,
      0.992018202830826,
      0.964176885427443,
      0.944861372508886,
      0.665823643292285,
      0.915599761652652,
      0.982548160285864,
      0.966076202295568,
      0.952279391541726,
      0.719021495350806,
      0.885537342554116,
      0.953164212438095,
      0.849513229835363,
      0.511688770204027,
      0.640592343876138,
      0.979172089102352,
      0.598053018103986,
      0.238889347881743,
      0.204806242482865,
      0.421557332318577,
      0.596595852415269,
      0.977873855258072,
      0.975214569949563,
      0.844706668696015,
      0.754952881473891,
      0.87752954208033,
      0.958135334450411,
      0.979044784292588,
      0.932799589509928,
      0.595309309056924,
      0.684057601265731,
      0.921477868782229,
      0.93050281580184,
      0.690835769475431,
      0.461611333271123,
      0.526121572330408,
      0.695291580921892,
      0.9571428358325,
      0.960529943620311,
      0.6837264811537,
      0.8267139551786,
      0.696698880585747,
      0.716124139805479,
      0.615763378741886,
      0.534790394276621,
      0.684461183207935,
      0.57319939337049,
      0.563461108599519,
      0.50865826726879,
      0.604039974279067,
      0.884505239264057,
      0.557597388525742,
      0.576965193645394,
      0.471708513410928,
      0.765644387906842,
      0.886901774702846,
      0.235638903734493,
      0.412479331009261,
      0.041250786455409,
      0.252890250299104,
      0.958665987050426,
      0.963545770283795,
      0.945677242823548,
      0.753204756821309,
      0.518457541539457,
      0.983247052431927,
      0.967284754452002,
      0.99464627968823,
      0.779463170214425,
      0.809450662086846,
      0.978713425160136,
      0.939119388294085,
      0.892424486413458,
      0.729868197035645,
      0.709283124107886,
      0.689361780111632,
      0.91954049666202,
      0.88826010798372,
      0.68910880957049,
      0.524126845679438,
      0.972970428610979,
      0.956768564527514,
      0.922483221245563,
      0.589318856268972,
      0.70012430853247,
      0.972235275901286,
      0.978038834775843,
      0.968194659374062,
      0.647117367318453,
      0.822216374778771,
      0.923716359569538,
      0.894057689093543,
      0.65308395869236,
      0.90633495256043,
      0.889425984834581,
      0.487514154462219,
      0.222979399066407,
      0.228689627271669,
      0.479356749462164,
      0.716167551542153,
      0.437065120542891,
      0.727730540467557,
      0.569127475294319,
      0.591551602197842,
      0.766556965607865,
      0.500994259844037,
      0.70488916577531,
      0.555839460495817,
      0.547802444128767,
      0.788375423528141,
      0.336762975713589,
      0.655160621156614,
      0.402027791138227,
      0.632674573033897,
      0.677970755594815,
      0.523330636449833,
      0.600492486486125,
      0.343774245281915,
      0.613547856517774,
      0.723562067448999,
      0.331097447582919,
      0.499199870024116,
      0.44168269905112,
      0.615050495268299,
      0.666319515946308,
      0.446607832148631,
      0.560354391336943,
      0.46269995073906,
      0.604390841046495,
      0.761238831883018,
      0.554041133816234,
      0.661758756356149,
      0.485089827739059,
      0.756099508177275,
      0.73375738837023,
      0.539912032887137,
      0.171252628430552,
      0.39276369915351,
      0.632946902798028,
      0.981833891874522,
      0.97454352186445,
      0.849515493512639,
      0.574791067630215,
      0.954806078102453,
      0.978153710589634,
      0.965465955848667,
      0.93255766748721,
      0.735088091792925,
      0.968173215844189,
      0.935040368180541,
      0.942138639036668,
      0.815351940277968,
      0.638129695918758,
      0.641233886074891,
      0.666572422284907,
      0.968302317355137,
      0.845489716444098,
      0.705863272991703,
      0.986583613491381,
      0.957130864783188,
      0.982306842875733,
      0.791489713152232,
      0.721793540036538,
      0.99235310474577,
      0.96998349109344,
      0.979183809809497,
      0.818338873151817,
      0.740972509182232,
      0.973114016643851,
      0.888576021196409,
      0.793135526641814,
      0.397437782904015,
      0.968410337258959,
      0.781468391696211,
      0.285456487104694,
      0.231630619676918,
      0.0727897062913414,
      0.00817681916835014,
      0.846752561634633,
      0.971971783517955,
      0.931135764616301,
      0.609378890130822,
      0.895931419157083,
      0.972526206758108,
      0.957759435121337,
      0.978620590718698,
      0.759941114319675,
      0.480096832269506,
      0.950768642592412,
      0.927200227487699,
      0.886359734239273,
      0.486752197823983,
      0.826618329723561,
      0.568004682316452,
      0.919289706112474,
      0.92040571224069,
      0.601553958207681,
      0.799226046996769,
      0.808186493877273,
      0.596702651321497,
      0.686115244776926,
      0.447316703509034,
      0.541141195516556,
      0.721163066932876,
      0.493534051470769,
      0.492855871387778,
      0.521556375145493,
      0.742883943662477,
      0.734671025403362,
      0.530770526014509,
      0.511418862640271,
      0.628461229223824,
      0.840417727668529,
      0.528756911400817,
      0.293126694144307,
      0.13989294060132,
      0.229094108525573,
      0.531769698597034,
      0.952829227128624,
      0.940601867967486,
      0.93372332820261,
      0.502783569426104,
      0.798311707938574,
      0.966822165890226,
      0.989775207058476,
      0.984505993323857,
      0.659049370934044,
      0.936682690569545,
      0.953280728070109,
      0.922323036100044,
      0.89881168157312,
      0.690586299117791,
      0.577815893315072,
      0.843477182056064,
      0.915697299920161,
      0.883632569942712,
      0.395947030431689,
      0.863892511333555,
      0.95265438209282,
      0.974753945516792,
      0.764632100078057,
      0.487166218219355,
      0.96444034773088,
      0.968611816426356,
      0.984560254096985,
      0.772705228961159,
      0.697957281949507,
      0.956331512088293,
      0.900607883294904,
      0.701937053091188,
      0.806447777435278,
      0.953642057053247,
      0.728896644006567,
      0.26952573036379,
      0.226449979901167,
      0.290765050299744,
      0.652430248782835,
      0.983639600061365,
      0.978664548690569,
      0.926408714214821,
      0.624558967600741,
      0.607940540513137,
      0.981036358916458,
      0.962521820800236,
      0.976093373695753,
      0.682532932480454,
      0.740092010181473,
      0.984433080812036,
      0.953849532465306,
      0.931889571752266,
      0.535588983723515,
      0.592507426401204,
      0.727211660621785,
      0.961233502381804,
      0.987337383137957,
      0.545727470768066,
      0.673870037305222,
      0.4903054896988,
      0.518053481303989,
      0.495082446444611,
      0.566181464265397,
      0.703646388737418,
      0.543703566348513,
      0.586292869555471,
      0.560707108844211,
      0.513896084191987,
      0.792474496516141,
      0.657821819972529,
      0.732494858173842,
      0.57488411670285,
      0.665164778971881,
      0.784460891533097,
      0.630342434115591,
      0.827772255622337,
      0.761241357114307,
      0.28770022816157,
      0.835818468264892,
      0.976151711881034,
      0.990063968657155,
      0.791161998716021,
      0.50028833155712,
      0.926500424432429,
      0.966772929211087,
      0.989145833698902,
      0.871801107352558,
      0.669421676656826,
      0.959587247598326,
      0.960615865814259,
      0.986079447971646,
      0.718558152910745,
      0.826300451937912,
      0.756358790993342,
      0.958255233919367,
      0.982828394602052,
      0.742091182146118,
      0.714401719615371,
      0.985740422551042,
      0.970022524757507,
      0.993856030310026,
      0.727656950534673,
      0.763682523591942,
      0.994090974800809,
      0.97253458082675,
      0.971759617147299,
      0.735304154045998,
      0.772814409958963,
      0.980817108944451,
      0.898361868990311,
      0.804658453317027,
      0.832061334374058,
      0.986575223699938,
      0.731849780663543,
      0.442433852081808,
      0.56907639341432,
      0.542858188950889,
      0.609745803582786,
      0.789047218904064,
      0.744907817604766,
      0.858700700996728,
      0.589712716671262,
      0.71569069334379,
      0.744608752310073,
      0.777729732745792,
      0.939262535612246,
      0.611568515707147,
      0.767394977841752,
      0.698622785037112,
      0.912986633320779,
      0.803795107324605,
      0.532410803965775,
      0.730940042151104,
      0.609716485926382,
      0.813981019716943,
      0.632184666740171,
      0.540211902591033,
      0.835184359853567,
      0.681541264597874,
      0.879889676178121,
      0.759616286250838,
      0.438215473659745,
      0.856970989244731,
      0.594395982505137,
      0.896781434025928,
      0.858694480135069,
      0.636382959955628,
      0.93006159502254,
      0.667785297692558,
      0.928470183751241,
      0.950241056435263,
      0.984005345640135,
      0.974109548984709,
      0.979899283716766,
      0.986280854583423,
      0.881166387015471,
      0.568684376394471
    ],
    "energy_rate_of_change": [
      0,
      0.485060018651626,
      0.350012358497171,
      0.0836519073037539,
      -0.638457747066722,
      0.345974922180176,
      -0.121057510375977,
      0.27192772136015,
      0.0809001081130084,
      -0.798355186686796,
      0.712858704959645,
      -0.0291543287389419,
      -0.30240042069379,
      0.467822383431827,
      -0.55137019998887,
      0.452915696536793,
      0.0543728155248305,
      -0.120438715990852,
      0.103644903968362,
      -0.0751201685737162,
      0.126606885124655,
      -0.400756050558651,
      0.44582163586336,
      -0.200324016458848,
      0.0632633040933047,
      -0.0825653076171875,
      -0.100010198705337,
      0.159699299756218,
      -0.101326858296114,
      -0.435175222509048,
      0.413326880511116,
      0.0366658603443819,
      -0.0973976359647862,
      0.2171571114484,
      -0.252250194549561,
      0.172088314505184,
      0.0559622259700999,
      -0.0285212572883158,
      0.0278708794537713,
      -0.0894118477316463,
      0.165351867675781,
      0.131137062521542,
      -0.0745822121115292,
      -0.216251345241771,
      -0.0224153013790355,
      0.278543766807107,
      0.0347050919252283,
      -0.0945050015169031,
      -0.27504581563613,
      0.0973097857306985,
      0.241776438320384,
      -0.0934261434218463,
      -0.02766154794132,
      -0.27550111097448,
      0.0816298653097713,
      0.275596225962919,
      0.0413398742675781,
      -0.189973775078269,
      -0.42201743406408,
      0.429183651419247,
      0.211294987622429,
      0,
      -0.0392305149751551,
      -0.0717186647302964,
      0.110949179705451,
      0,
      0,
      -0.0191784606260412,
      -0.0904125746558694,
      0.109591035281911,
      0,
      0,
      -0.0735855102539062,
      -0.0482563972473145,
      0.121841907501221,
      0,
      0,
      -0.138037120594698,
      -0.0414646092583151,
      0.179501729853013,
      0,
      0,
      0,
      0,
      -0.0868249780991498,
      0.0868249780991498,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      -0.0696927519405589,
      0.0696927519405589,
      0,
      0,
      0,
      -0.0931105894200942,
      0.0931105894200942,
      0,
      0,
      0,
      -0.0802320031558766,
      0.0802320031558766,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      -0.137013687806971,
      0.0136013311498306,
      0.12341235665714,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      -0.0104450057534611,
      0.0104450057534611,
      0,
      0,
      0,
      -0.0218229153577019,
      0.0218229153577019,
      -0.00132095112520103,
      -0.151444883907543,
      0.152765835032744,
      -0.0279135844286751,
      0.0279135844286751,
      0,
      -0.194483308231129,
      0.194483308231129,
      0,
      0,
      -0.0688299291274127,
      -0.0946465380051557,
      0.163476467132568,
      0,
      -0.16577361611759,
      -0.113946017097024,
      0.173995550941019,
      0.105724082273595,
      0,
      0,
      0,
      0,
      -0.0135422874899471,
      0.0135422874899471,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      -0.0246956208172966,
      0.0246956208172966,
      0,
      0,
      -0.193168415742762,
      0.118021404041963,
      0.0751470117007985,
      0,
      -0.0315434231477625,
      -0.0232255038093119,
      -0.492992709664737,
      0.547761636621812,
      -0.00295913920683022,
      -0.0846376699559829,
      -0.0188461472006405,
      -0.511145142947926,
      0.61758809931138,
      0,
      -0.22127000023337,
      -0.00881399827844953,
      -0.475291280185475,
      0.705375278697294,
      -0.0463296385372386,
      -0.00703083767610446,
      -0.293031874824973,
      -0.357011682846967,
      0.703404033885283,
      0,
      -0.0179412224713493,
      -0.0694886375876035,
      0.0874298600589528,
      0,
      0,
      0,
      -0.0770957890678855,
      0.0569960089290844,
      0.0200997801388011,
      0,
      -0.00938843278323898,
      -0.0258494545431699,
      -0.0113228068632237,
      0.0465606941896326,
      0,
      0,
      -0.210838289821849,
      0.186766484204461,
      0.0240718056173885,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      -0.0684974053326775,
      0.0684974053326775,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      -0.0481340885162354,
      0.0481340885162354,
      0,
      -0.0683671446407542,
      -0.218488777385038,
      0.19766549503102,
      -0.110659459057976,
      0.199849886052749,
      0,
      0,
      0,
      -0.175120550043443,
      0.175120550043443,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      -0.0509022544412052,
      0.0509022544412052,
      0,
      -0.0532216324525721,
      0.0176149957320269,
      -0.0870518684387207,
      0.122658505159266,
      0,
      -0.0249880341922536,
      -0.0748006315792308,
      0.0966041088104248,
      0.00318455696105957,
      -0.00371958227718583,
      -0.069926149704877,
      0.0736457319820628,
      -0.0193329137914321,
      -0.0260666819179759,
      -0.207390462650972,
      0.0751509666442871,
      0.177639091716093,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      -0.0814630003536448,
      -0.0204942927641028,
      0.00641132803524247,
      0.0955459650825051,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      -0.045448008705588,
      -0.0657202916986802,
      0.111168300404268,
      0,
      0,
      -0.0184242444879869,
      -0.0897517064038444,
      0.108175950891831,
      0,
      0,
      -0.0721926408655503,
      -0.0546059608459473,
      0.126798601711498,
      0,
      0,
      -0.456924382378073,
      -0.112379859475528,
      0.485720690558938,
      0.0835835512946633,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      -0.086259168737075,
      0.0657186788671157,
      0.0205404898699593,
      0,
      0,
      -0.017660982468549,
      0.017660982468549,
      0,
      0,
      0,
      -0.0608993137584013,
      0.0608993137584013,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      -0.403091262368595,
      -0.0824220881742589,
      0.37177635641659,
      0.00474938224343691,
      0.0171544972588035,
      -0.110322363236371,
      -0.346021680270924,
      0.368259289685418,
      0.105768624474021,
      0.00982503330006312,
      -0.185239174786736,
      -0.0534892923691694,
      0.217932027928969,
      -0.0560917573816636,
      0.0427658698138069,
      -0.161685466766357,
      -0.325283555423512,
      0.370375801535214,
      0.0816777173210593,
      -0.101358834434958,
      -0.346287643208223,
      0.00157075769761028,
      0.566129403955796,
      0.0133083567899817,
      -0.0656865344328039,
      -0.213457696578082,
      -0.48692865932689,
      0.731004182030173,
      0.00480486364925603,
      -0.186975030338063,
      -0.0483805151546702,
      -0.128065501942354,
      0.356574956108542,
      0.0166520651649026,
      -0.182135708191816,
      -0.139821557437672,
      -0.466538204866297,
      0.702959285062902,
      0.0137710851781508,
      -0.484950486351462,
      -0.371296714333927,
      -0.0515298282398897,
      0
    ],
    "crest_factor_curve": [
      0.432840655440412,
      0.238286577605256,
      0.0472793592527845,
      0.0431860098396995,
      0.228096324288924,
      0.106425809791361,
      0.144960145900063,
      0.0441132710584463,
      0.0408661064526016,
      0.41710375738287,
      0.0466066551671282,
      0.0479501969068315,
      0.143619573284484,
      0.0382188760216392,
      0.232210829600477,
      0.0420461229250216,
      0.046777665652355,
      0.0586799946955495,
      0.0971641540467419,
      0.0471087560516139,
      0.0387199892507822,
      0.150255731468836,
      0.0337684931932919,
      0.0606029175007123,
      0.0513351639943201,
      0.102840413277883,
      0.0811448633119534,
      0.0589942235552749,
      0.0715471069481042,
      0.322818571253508,
      0.0699431936826273,
      0.0650548460158287,
      0.103682858011029,
      0.0528670517834647,
      0.0593787379437984,
      0.0566732922388061,
      0.0533213512801503,
      0.0641436894392336,
      0.0945337808763081,
      0.0468116311264662,
      0.0374607782699231,
      0.0219417273623694,
      0.0502518766096421,
      0.0459469215038115,
      0.0680446176654305,
      0.0344981778355432,
      0.0293206062223858,
      0.0457430536517728,
      0.0852714305182167,
      0.113716473064932,
      0.0316530292333844,
      0.0532958499804261,
      0.0512702556993593,
      0.0771393091989191,
      0.135831835358239,
      0.0364447361010509,
      0.0358238318588336,
      0.0492309923509247,
      0.142055253959528,
      0.0935593638493421,
      0.0257083129006587,
      0.0377101694562855,
      0.0399057192148801,
      0.0476463015673705,
      0.0382272273235122,
      0.031402361019693,
      0.0432522510443385,
      0.0394974465501696,
      0.0451435710632799,
      0.0405389573340426,
      0.0268134878111924,
      0.0337177689579852,
      0.0395039270699542,
      0.0428183434476119,
      0.0338894053944526,
      0.0244485584565375,
      0.0281417657668748,
      0.0357451052861617,
      0.0334241735747496,
      0.0411678936344561,
      0.0104770756576186,
      0.00158350778921947,
      0.00288385563333468,
      0.0169481648646626,
      0.0419032222447122,
      0.0159182884148965,
      0.00249167234976321,
      0.00182991758194238,
      0.00898110556278348,
      0.033794705819875,
      0.0083472263297163,
      0.00285239055663485,
      0.00483627547322856,
      0.0268359265904359,
      0.0423570726545883,
      0.0405960477535719,
      0.00304989313135357,
      0.00332074937895429,
      0.0260279494686801,
      0.0326349513861008,
      0.00181240187673231,
      0.00161430813705669,
      0.00305610425046158,
      0.0196646325418155,
      0.0429922578007259,
      0.00200967190416271,
      0.00182275221237879,
      0.00292578945469211,
      0.0169018099310324,
      0.031809396894536,
      0.00251489065675933,
      0.00570939351015268,
      0.0302455214991585,
      0.0317171767274369,
      0.00498466628896883,
      0.0395150425163652,
      0.0695866694914886,
      0.0660065380088754,
      0.0435090287539417,
      0.0358748081544534,
      0.00178760629144129,
      0.00195100000256203,
      0.00712900676583922,
      0.0294280122212685,
      0.0523212139840365,
      0.00268149400709243,
      0.00187092692996933,
      0.00357732887512467,
      0.0230600104293538,
      0.0237696158296337,
      0.00266546871284159,
      0.00344844670810129,
      0.0144322412846609,
      0.0402311722007308,
      0.0399443637674325,
      0.0155138674990937,
      0.00277653291574361,
      0.00714714717978761,
      0.0325754523895586,
      0.0342690747937075,
      0.031492613518739,
      0.0267398131461153,
      0.063534294960547,
      0.0430697174548141,
      0.0385683060687205,
      0.0370254849464539,
      0.0320836541163029,
      0.0714181626764442,
      0.0345442528201027,
      0.02253801153727,
      0.0386333978766876,
      0.0414705940901417,
      0.054554556091238,
      0.0332394912849711,
      0.0333539304962015,
      0.0713401735451405,
      0.0806167314358224,
      0.0617753178539183,
      0.0462546195893018,
      0.00334457684521983,
      0.00134178639185545,
      0.00361987086673693,
      0.0174685728808865,
      0.0458974267307582,
      0.00250264534282307,
      0.00220629248493934,
      0.00182691481115132,
      0.0128821854159724,
      0.0289264700105408,
      0.00274816545533822,
      0.00245949881204288,
      0.00627492278025891,
      0.0286191372952619,
      0.0308764704872913,
      0.0262414233714319,
      0.002776344143669,
      0.00521912857231693,
      0.0246929109428218,
      0.0242933394630783,
      0.00191378764209134,
      0.00170294382546204,
      0.00447731613228882,
      0.0262635808808469,
      0.0333923967522111,
      0.0021142154318081,
      0.00188094657362116,
      0.00350931200108802,
      0.0241770663766286,
      0.0267344182334802,
      0.00287626257994492,
      0.00677033391194943,
      0.0294869002142228,
      0.0142517581492286,
      0.00919399083457991,
      0.0439604210973666,
      0.0714554202251687,
      0.0377521930764183,
      0.054131803911635,
      0.02962815528123,
      0.0471632580604097,
      0.0311123780534535,
      0.0935968147886153,
      0.0535106071921877,
      0.0321243439842722,
      0.0520498987755901,
      0.0391805768174261,
      0.141329254828695,
      0.0465542265452873,
      0.0280888998021888,
      0.0756646556706505,
      0.0580162259963838,
      0.211173709753477,
      0.0328485395797102,
      0.0393058673248234,
      0.0449610341030596,
      0.0605845730714949,
      0.252869129357583,
      0.0260109352156942,
      0.0247681109151461,
      0.0468702380702985,
      0.0513991403918053,
      0.0418197447141555,
      0.0332108104192603,
      0.0293641833281694,
      0.0466885636903804,
      0.0448345351775162,
      0.0471158647468972,
      0.0339316164944634,
      0.0227764405555286,
      0.0440776904130431,
      0.0388388995439254,
      0.0454195646238746,
      0.0265292630305463,
      0.0242813836564595,
      0.0335472624842235,
      0.0441563034686337,
      0.0420925546585681,
      0.0257819906809123,
      0.00187453616952784,
      0.00165140562332121,
      0.00708664308643633,
      0.0296503578782614,
      0.0406154377005202,
      0.00244936804880328,
      0.00207067691289256,
      0.00334046547246951,
      0.0181706205716769,
      0.0215584502706792,
      0.00299697109511939,
      0.0029314372253757,
      0.00986666918306538,
      0.0354627391264562,
      0.0485166490320147,
      0.025074530383029,
      0.00263713411595351,
      0.00727812681258585,
      0.0294584699615211,
      0.0226479942831156,
      0.00188909697901116,
      0.00188363129784012,
      0.00863126225557842,
      0.0323466841946619,
      0.0219781586313388,
      0.00191598477027468,
      0.00207029197427888,
      0.00769238179426194,
      0.0306332190024413,
      0.0171944303911089,
      0.003512409696396,
      0.0114363650610275,
      0.0486274571597706,
      0.00276944471620026,
      0.0153735879079487,
      0.0634376634819618,
      0.100271687596131,
      0.0676582289740004,
      0.0807352817547086,
      0.00849842461195992,
      0.00157642831111696,
      0.00350156719164976,
      0.021820069493462,
      0.0464126768725086,
      0.00722332683460134,
      0.00232515255045679,
      0.00182495089421243,
      0.0123452244331045,
      0.0440946935952621,
      0.00297674435381753,
      0.0026646588775203,
      0.00571544029946306,
      0.0339440492138175,
      0.0272057525129245,
      0.0343769250534166,
      0.00275832084285026,
      0.00402503856952082,
      0.0248059573027374,
      0.0369081009143515,
      0.0311490565763921,
      0.0303741488334688,
      0.0375704687400758,
      0.0583204223083447,
      0.0529928977410054,
      0.0353019917431259,
      0.0332750551738121,
      0.0408874557477422,
      0.0708180693098982,
      0.030454840363039,
      0.0320461818781579,
      0.0390051204241536,
      0.0420724570467739,
      0.0439933638907635,
      0.0340276675078422,
      0.0465850407948165,
      0.0755169496290345,
      0.0731086069757307,
      0.0563338173368409,
      0.031170886990777,
      0.00190744447134958,
      0.00235304212748207,
      0.00635044746335522,
      0.0318119624904523,
      0.0323589381879479,
      0.00243274257664817,
      0.00188048781507995,
      0.00326974904709632,
      0.0239311493632061,
      0.0158616176889657,
      0.00256530003909345,
      0.00363020344845426,
      0.011215842722716,
      0.0299707256872082,
      0.0357889943981758,
      0.0133028277920057,
      0.00298423532740759,
      0.0116614002177662,
      0.0327033518345499,
      0.0107498540355644,
      0.00184328751769194,
      0.00217621155691938,
      0.0140116246589428,
      0.0409014102799155,
      0.00865579859672107,
      0.00192548943997302,
      0.00224343446899536,
      0.0133106942374919,
      0.0366755542153309,
      0.00350527667870136,
      0.00381682948721628,
      0.0138379053891051,
      0.0319040411035495,
      0.00381130816035309,
      0.0210069745870157,
      0.0554371214281753,
      0.0599704537380525,
      0.0539008507844655,
      0.0264711471592647,
      0.00187242098468501,
      0.00138553509158022,
      0.00533587031194042,
      0.028832363931927,
      0.0312621493829757,
      0.00249495108005592,
      0.00210606427258201,
      0.00255981666401709,
      0.0177484257725083,
      0.0233996246904046,
      0.00260059471552503,
      0.00263367996436365,
      0.00787654138699978,
      0.0391795779296972,
      0.0329668928220429,
      0.0142324565219949,
      0.00265102608691756,
      0.00475741362996091,
      0.0329771848158133,
      0.0241069370362843,
      0.0395866653841169,
      0.0405985732686935,
      0.0476086006998239,
      0.0375666161330467,
      0.0324853874476438,
      0.0449342088148624,
      0.0392969968840402,
      0.045246177554623,
      0.0409369812042191,
      0.0260049423705773,
      0.0338413574263453,
      0.0394613120363822,
      0.042005846025834,
      0.0331900948320184,
      0.0239319253787294,
      0.0286467639456559,
      0.0739941539450188,
      0.0866926447599002,
      0.0530062927192811,
      0.0114993201508475,
      0.001653646476699,
      0.00251242647713127,
      0.0134547715803121,
      0.0388746008362435,
      0.0117657158388732,
      0.00231544780186886,
      0.00172958932278976,
      0.00804639057781375,
      0.031848334143272,
      0.00886470924551719,
      0.00253908258532639,
      0.00359566216190217,
      0.0266966752258865,
      0.0389436942329299,
      0.039820060981252,
      0.00276771223268888,
      0.00283507303773246,
      0.0212750988855729,
      0.0348558365020209,
      0.00187617619231162,
      0.00156983240652272,
      0.00253034970863036,
      0.0176001864602802,
      0.0516032196009873,
      0.00187420551480713,
      0.00171956312331116,
      0.0027450963390726,
      0.0171687978305122,
      0.0401909221640054,
      0.00226676440162936,
      0.00496071943168643,
      0.0227881343868086,
      0.0250934948286184,
      0.00484259581692622,
      0.0311212606792685,
      0.108444851920304,
      0.122145360421033,
      0.0635990171091307,
      0.053347993017444,
      0.0509587758325708,
      0.0494906033870155,
      0.0993840761469055,
      0.0570802596650664,
      0.0420518097455005,
      0.0483816976396524,
      0.0505532076763135,
      0.0474153812779006,
      0.0618408963738641,
      0.0497211529557625,
      0.0459581101572298,
      0.0505041268127875,
      0.135828457307997,
      0.13981317653996,
      0.0466773420250683,
      0.0739391727320846,
      0.119100054364527,
      0.160047321732326,
      0.0493678376743986,
      0.0318507454820954,
      0.0457702312385875,
      0.0468599735613536,
      0.147981442932651,
      0.0649906628602248,
      0.037172839151171,
      0.0695405371074973,
      0.0469560657359122,
      0.102274099186072,
      0.0409413683640179,
      0.0329588150133895,
      0.0665798976627753,
      0.0509403303855926,
      0.152598247337014,
      0.0291574131932454,
      0.0332414795946286,
      0.0745554957480527,
      0.149978628602714,
      0.779566199175812,
      1
    ],
    "loudness_curve_perceptual": [
      0,
      0.485060018651626,
      0.835072377148797,
      0.91872428445255,
      0.280266537385828,
      0.626241459566004,
      0.505183949190028,
      0.777111670550178,
      0.858011778663186,
      0.0596565919763902,
      0.772515296936035,
      0.743360968197093,
      0.440960547503303,
      0.90878293093513,
      0.35741273094626,
      0.810328427483054,
      0.864701243007884,
      0.744262527017032,
      0.847907430985395,
      0.772787262411678,
      0.899394147536334,
      0.498638096977683,
      0.944459732841043,
      0.744135716382195,
      0.8073990204755,
      0.724833712858312,
      0.624823514152976,
      0.784522813909194,
      0.68319595561308,
      0.248020733104033,
      0.661347613615148,
      0.69801347395953,
      0.600615837994744,
      0.817772949443144,
      0.565522754893583,
      0.737611069398768,
      0.793573295368868,
      0.765052038080552,
      0.792922917534323,
      0.703511069802677,
      0.868862937478458,
      1,
      0.925417787888471,
      0.7091664426467,
      0.686751141267664,
      0.965294908074772,
      1,
      0.905494998483097,
      0.630449182846967,
      0.727758968577665,
      0.96953540689805,
      0.876109263476203,
      0.848447715534883,
      0.572946604560403,
      0.654576469870175,
      0.930172695833094,
      0.971512570100672,
      0.781538795022404,
      0.359521360958324,
      0.788705012377571,
      1,
      1,
      0.960769485024845,
      0.889050820294549,
      1,
      1,
      1,
      0.980821539373959,
      0.890408964718089,
      1,
      1,
      1,
      0.926414489746094,
      0.878158092498779,
      1,
      1,
      1,
      0.861962879405302,
      0.820498270146987,
      1,
      1,
      1,
      1,
      1,
      0.91317502190085,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.930307248059441,
      1,
      1,
      1,
      1,
      0.906889410579906,
      1,
      1,
      1,
      1,
      0.919767996844123,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.862986312193029,
      0.87658764334286,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.989554994246539,
      1,
      1,
      1,
      1,
      0.978177084642298,
      1,
      0.998679048874799,
      0.847234164967256,
      1,
      0.972086415571325,
      1,
      1,
      0.805516691768871,
      1,
      1,
      1,
      0.931170070872587,
      0.836523532867432,
      1,
      1,
      0.83422638388241,
      0.720280366785386,
      0.894275917726405,
      1,
      1,
      1,
      1,
      1,
      0.986457712510053,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.975304379182703,
      1,
      1,
      1,
      0.806831584257238,
      0.924852988299201,
      1,
      1,
      0.968456576852238,
      0.945231073042926,
      0.452238363378188,
      1,
      0.99704086079317,
      0.912403190837187,
      0.893557043636546,
      0.38241190068862,
      1,
      1,
      0.77872999976663,
      0.769916001488181,
      0.294624721302706,
      1,
      0.953670361462761,
      0.946639523786657,
      0.653607648961684,
      0.296595966114717,
      1,
      1,
      0.982058777528651,
      0.912570139941047,
      1,
      1,
      1,
      1,
      0.922904210932114,
      0.979900219861199,
      1,
      1,
      0.990611567216761,
      0.964762112673591,
      0.953439305810367,
      1,
      1,
      1,
      0.789161710178151,
      0.975928194382611,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.931502594667323,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.951865911483765,
      1,
      1,
      0.931632855359246,
      0.713144077974207,
      0.910809573005227,
      0.800150113947251,
      1,
      1,
      1,
      1,
      0.824879449956557,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.949097745558795,
      1,
      1,
      0.946778367547428,
      0.964393363279455,
      0.877341494840734,
      1,
      1,
      0.975011965807746,
      0.900211334228516,
      0.99681544303894,
      1,
      0.996280417722814,
      0.926354268017937,
      1,
      0.980667086208568,
      0.954600404290592,
      0.74720994163962,
      0.822360908283907,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.918536999646355,
      0.898042706882252,
      0.904454034917495,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.954551991294412,
      0.888831699595732,
      1,
      1,
      1,
      0.981575755512013,
      0.891824049108169,
      1,
      1,
      1,
      0.92780735913445,
      0.873201398288502,
      1,
      1,
      1,
      0.543075617621927,
      0.430695758146398,
      0.916416448705337,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.913740831262925,
      0.979459510130041,
      1,
      1,
      1,
      0.982339017531451,
      1,
      1,
      1,
      1,
      0.939100686241599,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      1,
      0.596908737631405,
      0.514486649457146,
      0.886263005873736,
      0.891012388117173,
      0.908166885375977,
      0.797844522139605,
      0.451822841868681,
      0.820082131554099,
      0.925850756028119,
      0.935675789328182,
      0.750436614541447,
      0.696947322172277,
      0.914879350101247,
      0.858787592719583,
      0.90155346253339,
      0.739867995767032,
      0.41458444034352,
      0.784960241878734,
      0.866637959199793,
      0.765279124764835,
      0.418991481556612,
      0.420562239254222,
      0.986691643210018,
      1,
      0.934313465567196,
      0.720855768989114,
      0.233927109662224,
      0.964931291692397,
      0.969736155341653,
      0.78276112500359,
      0.73438060984892,
      0.606315107906566,
      0.962890064015108,
      0.979542129180011,
      0.797406420988195,
      0.657584863550523,
      0.191046658684226,
      0.894005943747128,
      0.907777028925279,
      0.422826542573817,
      0.0515298282398897,
      0,
      0
    ],
    "energy_curve_sub": [
      7.86989723149275e-8,
      9.66353888337598e-8,
      8.83567435034518e-8,
      1.18104484512501e-7,
      6.72084857399765e-8,
      9.92734632272152e-8,
      1.33550171289864e-7,
      1.03676871563739e-7,
      4.31287695220513e-8,
      2.23745146240925e-8,
      1.25240397382208e-8,
      1.86797826526074e-8,
      9.99917436949563e-9,
      8.84513027450267e-9,
      8.61069510078555e-9,
      1.60336898759789e-8,
      1.34712416318747e-8,
      2.06496110432849e-8,
      9.16302870850889e-9,
      8.63137821511681e-9,
      2.06869072307461e-8,
      1.14828457164742e-8,
      6.93342959961079e-8,
      9.76434994745173e-8,
      1.2954894172367e-7,
      1.69766354802012e-7,
      2.35372916224673e-7,
      7.12609992602528e-8,
      3.0486770796897e-8,
      2.8014420126735e-8,
      9.48308007170106e-9,
      1.04116505926575e-8,
      1.37400447224886e-8,
      7.48714256008191e-9,
      7.44817841780338e-9,
      1.24818156947883e-8,
      2.21216263536839e-8,
      9.29142098759952e-9,
      1.46622125576392e-8,
      9.09971334574657e-9,
      1.88463481642012e-7,
      7.92245312030048e-7,
      0.00000168781903461493,
      3.68312886308081e-8,
      0.00000201865986345989,
      0.00000696859095442099,
      9.1835798446832e-7,
      0.00000221448765273905,
      2.97262243330784e-7,
      0.00000614622919000245,
      0.00000969232128047504,
      0.0000012466877399923,
      0.00000225348026524436,
      1.74676139623454e-7,
      0.00000665326142759732,
      0.0000112662853730004,
      0.00000203232081494902,
      0.00000123465103468724,
      3.14371369688278e-8,
      0.00000729322775216387,
      0.00000148787156920377,
      0.00000182754841246657,
      0.00000201929930412702,
      6.01273736188527e-7,
      0.00000312102520566531,
      0.00000675117946927083,
      0.00000145579792749146,
      0.00000108837004761079,
      8.12679215426068e-7,
      0.00000687203849174873,
      0.0000107081784919449,
      0.00000390421400003866,
      8.43049838072527e-7,
      0.0000019547921894513,
      0.00000914119165437883,
      0.0000110737530614311,
      0.00000375816776177179,
      0.00000106896813350042,
      3.85136518364149e-8,
      0.00000780164726196303,
      0.0409841089465188,
      0.0892075162067493,
      0.0225003725062689,
      0.00397954989924014,
      0.000390392952256791,
      0.272675549800554,
      0.325429660297294,
      0.451705394405613,
      0.0809427912207297,
      0.00731690947063644,
      0.252678233860703,
      0.377904684164387,
      0.212329441470561,
      0.0145624806506054,
      0.00134989430021851,
      0.000859883868907213,
      0.299010813217586,
      0.295940144928845,
      0.0208697360960341,
      0.00209983362915298,
      0.0527281543243201,
      0.0618295926096601,
      0.026999084818901,
      0.00281637832711093,
      0.0078301792244933,
      0.235778931223334,
      0.270196203488923,
      0.124262939921618,
      0.0146202505451586,
      0.0671072355089267,
      0.28433039085072,
      0.0996409565777748,
      0.0118637620035824,
      0.184939545449014,
      0.105012154086597,
      0.00992613642565962,
      0.000894923943811444,
      0.0000786357613140619,
      0.0000156328193872129,
      0.0185815582891193,
      0.0753258285550245,
      0.0508775817039298,
      0.00923460708303716,
      0.00090883947881056,
      0.175328433467915,
      0.309918790661511,
      0.450368496097344,
      0.198435079729515,
      0.0182627680207955,
      0.191325806349484,
      0.388700118079113,
      0.255704169297171,
      0.0379047156782068,
      0.00319045908314358,
      0.000308334506083135,
      0.218968658499346,
      0.342973044845824,
      0.0531162519460249,
      0.00446401659805831,
      0.000260012382529215,
      0.00000185934247044629,
      1.62264925009364e-7,
      1.32694150894542e-7,
      0.00000230939136036973,
      0.00000661682456761559,
      0.00000150867886435207,
      2.0141432257197e-7,
      0.00000110024798751534,
      0.00000524186112779522,
      0.0000107803501066386,
      0.00000175511673811757,
      4.16720054501275e-7,
      0.00000507070644164406,
      0.00000617052540566956,
      0.0000101073560800724,
      0.00000194211138843033,
      1.7743890466724e-7,
      0.00000602721701899237,
      0.00000231753285101714,
      0.0503700086205437,
      0.0887982630095615,
      0.015883795528895,
      0.00219494036285683,
      0.00147741739017971,
      0.301793554803473,
      0.386278771221783,
      0.406325251935083,
      0.0451745425014271,
      0.0351356736514509,
      0.359371010955268,
      0.36884594547892,
      0.094034832483422,
      0.00830043704120057,
      0.000725632710413849,
      0.108775637849604,
      0.363437178341484,
      0.127076948321813,
      0.0114998216155323,
      0.0176370669359575,
      0.0499078805478303,
      0.0596641840634969,
      0.0164255882619358,
      0.0014676530724953,
      0.0905557407042935,
      0.254613194426646,
      0.210629004225374,
      0.0832643352707967,
      0.00805313500025846,
      0.173407932981905,
      0.217300186911965,
      0.0665448266938684,
      0.00640703996611146,
      0.233354712423947,
      0.0600985631318813,
      0.00527204475846371,
      0.00048651755072676,
      0.000044572072296808,
      0.0000107343489085289,
      0.00000118209357416255,
      0.00000172520191703474,
      1.21787180950158e-7,
      1.99859221099615e-8,
      0.00000281424101748454,
      0.00000693846571465254,
      0.000001777879684494,
      6.07180505665775e-7,
      5.54520025217894e-8,
      0.00000777447113713418,
      0.00000903919967787004,
      0.00000187246240983384,
      4.10554143186214e-7,
      0.00000205035204654072,
      0.00000645303515707298,
      0.00000842012687294316,
      0.00000164206631159906,
      1.2799614308917e-7,
      0.00000458541919597528,
      0.00000304503441946437,
      9.80194849621298e-7,
      0.00000269138379802774,
      0.00000207694138940664,
      0.00000220882485128965,
      9.57298915356687e-7,
      0.00000624089841656753,
      0.0000024648053062253,
      9.53886053590585e-7,
      0.00000535008823021733,
      0.0000053346355865041,
      0.00000796630578524676,
      0.00000391037545548396,
      0.00000142037213970207,
      0.00000879752619543689,
      0.00000929138687251426,
      0.00000406382907204466,
      0.00000259300000651215,
      1.4553894538921e-7,
      0.00000642693944677925,
      0.0120851342931229,
      0.0684497904143439,
      0.0632863482347944,
      0.0119920217331952,
      0.0012315078199435,
      0.130610844556745,
      0.301707677762639,
      0.433588215803789,
      0.262717677153955,
      0.0248327129560574,
      0.157599085057489,
      0.384275604464055,
      0.271869526257618,
      0.0484867718077201,
      0.00444761071038194,
      0.000419557489415138,
      0.189180964599015,
      0.346699763251011,
      0.0706898216346937,
      0.00592134793637383,
      0.031824239403238,
      0.0546289115010341,
      0.0465926373700028,
      0.0093421884604942,
      0.00078321954025259,
      0.144882365539617,
      0.288514123214103,
      0.162209162614734,
      0.0469097443191835,
      0.00445214732316883,
      0.244176398056009,
      0.176284911722526,
      0.0378097957801896,
      0.00357902167104207,
      0.267829391632536,
      0.0322695173384099,
      0.00292504631853932,
      0.000271364624378043,
      0.000029982038378865,
      0.00000391942308357397,
      0.0459244769017589,
      0.0915236096494973,
      0.0169398679702509,
      0.00292341774725381,
      0.000294974538489444,
      0.282334305824255,
      0.325709710754798,
      0.474463945606122,
      0.0595071367032402,
      0.00561886728450058,
      0.273945617783089,
      0.4216999211536,
      0.148850895482349,
      0.0108392024689809,
      0.000938091379529519,
      0.043263719662298,
      0.361253001607314,
      0.194329313942845,
      0.0158248408208537,
      0.00125394253034612,
      7.29233137332897e-7,
      0.00000189562151059942,
      1.13749172001981e-7,
      0.00000240287841400091,
      0.00000683361851158772,
      0.00000113603480784116,
      0.00000171134209580918,
      1.00129762630691e-7,
      0.0000062385947649976,
      0.0000100583437074969,
      0.00000244831019728868,
      0.00000160512998323583,
      2.65209255521459e-7,
      0.00000917807543411145,
      0.000010019723897728,
      0.00000171289514928909,
      5.97895397646641e-7,
      1.17661079081921e-7,
      0.0000069540987419957,
      0.0281086991587034,
      0.080060059839788,
      0.039410279983018,
      0.00729138834018303,
      0.000676167654678473,
      0.2084248397611,
      0.318360146184714,
      0.458476464384021,
      0.148742572705592,
      0.0134241883597366,
      0.219336743310617,
      0.379730257229757,
      0.236929399533925,
      0.027594411972794,
      0.00252646760558847,
      0.00023153221070027,
      0.235895117336582,
      0.334154953191063,
      0.0386067548836356,
      0.00333473615126872,
      0.044460186176719,
      0.0543005051062725,
      0.0396848850678673,
      0.00497568049421533,
      0.000439516447480714,
      0.177237961291512,
      0.296193476616543,
      0.134379486802189,
      0.0255416160462073,
      0.00244366691727271,
      0.285900425601784,
      0.151924633734632,
      0.0202679418477278,
      0.0998123749334904,
      0.18117147893295,
      0.0176897710094457,
      0.00159559478906444,
      0.000145038841296009,
      0.0000205067763395022,
      0.00126320741583572,
      0.0646083534321986,
      0.0768299614175672,
      0.012952678802543,
      0.00167245440879868,
      0.058081208980221,
      0.312852286698159,
      0.421881503229874,
      0.327812112214652,
      0.0337273800631824,
      0.105321518194677,
      0.375605824662727,
      0.314097897494269,
      0.0625535684602228,
      0.00613459326821218,
      0.000541446352245279,
      0.158708557665039,
      0.356374279000336,
      0.0921493771254702,
      0.00831129507295797,
      0.000641653960327874,
      0.00000148184827773213,
      0.00000232414959912854,
      4.13140736837946e-7,
      0.00000428470486365183,
      0.00000708592484723924,
      0.00000212173505252785,
      0.00000113158607506338,
      8.20494092535772e-7,
      0.00000671319223486847,
      0.0000123594294292161,
      0.00000360991735280134,
      7.89685497310003e-7,
      0.00000221939549780569,
      0.0000103024728824159,
      0.0000109880868611354,
      0.00000315786182592541,
      5.41291491938018e-7,
      2.42417188377753e-8,
      0.00000181767217011068,
      0.0413980053996382,
      0.0877975910380347,
      0.0219343284908319,
      0.00392654617542148,
      0.00039359177925204,
      0.266314065423129,
      0.32316380696178,
      0.463978010973148,
      0.080521101089935,
      0.00739668191679449,
      0.254195319775446,
      0.376818695362041,
      0.214026991071777,
      0.0145373710767515,
      0.00135282705514978,
      0.000844252191015477,
      0.299867487399349,
      0.294381836468427,
      0.0212531256180808,
      0.00209075886178977,
      0.0538826121145805,
      0.0614886550904215,
      0.0267006772924135,
      0.00277723562943202,
      0.00746216965847742,
      0.228927418150663,
      0.267984665257536,
      0.122157616817245,
      0.0144291169873965,
      0.0693706785251553,
      0.282920283809564,
      0.0983893468651013,
      0.0114012523705952,
      0.183847177398863,
      0.105279455769023,
      0.00971804171837145,
      0.000899665190580751,
      0.0000796415054401407,
      0.0000165628473444686,
      0.00000929886779189891,
      9.72638808297022e-7,
      0.00000103720687570083,
      8.04087615686199e-8,
      0.00000292736934847562,
      0.00000681183282431679,
      0.00000189250989127542,
      4.89962420594347e-7,
      3.09468622833222e-7,
      0.00000811015642289959,
      0.0000101851368747865,
      0.00000300051862959741,
      9.51289211190236e-7,
      2.11920703553986e-7,
      0.00000674791342980331,
      0.00000927262067977729,
      0.0000014774518135478,
      3.32653403021739e-7,
      1.43511534162487e-7,
      0.0000110591752494679,
      0.00000143901787687841,
      0.00000204044754733181,
      3.83858681011661e-7,
      5.48480932843588e-8,
      0.00000252201456140741,
      0.00000680085164352535,
      0.00000213499564359068,
      4.32454628432668e-7,
      0.00000156031737785633,
      0.00000534891564087054,
      0.00000912560241309358,
      0.00000362726405515012,
      4.07780527271058e-7,
      0.00000683623153197889,
      0.00000247341480750578,
      0.00000961467726709985,
      2.8367190308272e-8,
      1.12921933664325e-8,
      2.32529313229259e-9,
      1.98186080280008e-10
    ],
    "energy_curve_bass": [
      0.0000230242360323899,
      0.00000983130744628759,
      0.00002900946231234,
      0.0000333889383039192,
      0.0000431471726915868,
      0.0000242588867482006,
      0.000136915641613664,
      0.000276863296296483,
      0.000139308543958784,
      0.0000883652078573005,
      1.77893424656034e-7,
      3.72721079879452e-7,
      0.00000126651927580003,
      6.75917663544923e-8,
      0.00000130622348839443,
      2.9102917052641e-7,
      7.40725520102453e-8,
      0.000012084353996368,
      1.00967927388101e-7,
      7.40783041959188e-8,
      2.10255176278151e-7,
      7.52054329776443e-8,
      0.0000919613748694154,
      0.00005170132879667,
      0.000303599664566058,
      0.000420489471285006,
      0.000325760106298261,
      0.0000918583175505401,
      0.000101086561059049,
      0.0000218832114688244,
      2.63496976330058e-7,
      0.00000114027919038439,
      0.00000134200583839419,
      4.91026465322162e-8,
      1.93430925963098e-7,
      4.87163229799293e-7,
      5.69824678452808e-7,
      0.00000181373773321923,
      7.56108469690094e-8,
      1.46096892813996e-7,
      0.0000962083379572213,
      0.000206350513989796,
      0.0000253138466910877,
      0.00000454058994500906,
      0.000235151689953467,
      0.000828100198841468,
      0.00134023793522743,
      0.0000874253206001308,
      0.0000490485390463472,
      0.00195305256909774,
      0.0017525936641636,
      0.00123807685573392,
      0.000199634374481248,
      0.000119300676855235,
      0.00224020881107985,
      0.00196807309238642,
      0.000768777683113565,
      0.0000838242327574679,
      0.0000011177094608664,
      0.00240639707097147,
      0.000732776057505782,
      0.000343880251933264,
      0.000473591818333232,
      0.0005223067123957,
      0.000853364499036012,
      0.00248183639202494,
      0.00145616024336636,
      0.000504155970692717,
      0.000735453635779633,
      0.00223187819725175,
      0.00473316678806089,
      0.00247104130124683,
      0.00140971051765335,
      0.000720125815020897,
      0.00300345574587949,
      0.00230520429856748,
      0.000333748870467045,
      0.00019464276272592,
      0.0000662829696011306,
      0.00244280805735161,
      0.247362730839609,
      0.428213279886177,
      0.175804124636312,
      0.0163870447620886,
      0.00183697187591566,
      0.047711878740448,
      0.043699977376144,
      0.045096253609339,
      0.00255168255278574,
      0.00195563494955423,
      0.0375123312263809,
      0.0385449283603684,
      0.026802096675166,
      0.001845333688654,
      0.00184827533896044,
      0.00847965450567914,
      0.0538421004665411,
      0.00612468729687654,
      0.00198905332537176,
      0.00942278929744449,
      0.323795609915351,
      0.360794822769911,
      0.128909439686111,
      0.0116176731777988,
      0.0485548765941376,
      0.176047398925362,
      0.188738668206769,
      0.0627597059361593,
      0.0083691556247171,
      0.0494230477984372,
      0.0680611021132322,
      0.0108919695371973,
      0.00110840229406351,
      0.0350895063272023,
      0.00457617301810331,
      0.00147985319488837,
      0.000174612881562167,
      0.000052292202418147,
      0.00229430600429982,
      0.15932868649387,
      0.375326599381987,
      0.285607374512027,
      0.0377504150520026,
      0.00398557873021699,
      0.0471708547847172,
      0.0439997897921831,
      0.0451515668945154,
      0.00545442988189342,
      0.00250496407011559,
      0.0364144707944254,
      0.0363698188216887,
      0.0309003750196396,
      0.00257416594000609,
      0.00277683708942628,
      0.00247600631267337,
      0.034416094051336,
      0.0316028131863816,
      0.00132639915142453,
      0.00282464159745626,
      0.000447233573992549,
      0.000377035654708636,
      0.00023294101095818,
      0.000511417873347111,
      0.000264796136586694,
      0.0024050355035675,
      0.000384508975883506,
      0.000094121183436694,
      0.0000632943907089576,
      0.00193598121092473,
      0.00278993312787894,
      0.000507920087159979,
      0.000169220164373531,
      0.00113071280698922,
      0.00405331486961559,
      0.00427481940786851,
      0.000501291817103631,
      0.000664075775600436,
      0.00101488761340833,
      0.00148940025295543,
      0.296926986533608,
      0.490346213120578,
      0.0837566457821601,
      0.00925205117780696,
      0.0145210193883848,
      0.0671436736959166,
      0.0447027688397669,
      0.0128137305690713,
      0.0027759227332391,
      0.0292791904855489,
      0.039860665943631,
      0.0305851973138862,
      0.00528091599239492,
      0.00253669156889615,
      0.00142996728903872,
      0.0310231642569155,
      0.0333845373336176,
      0.0028581030543081,
      0.00248797471114893,
      0.146378978864988,
      0.275681313257503,
      0.336924967614337,
      0.0665950391979458,
      0.00655856743463524,
      0.10701309806979,
      0.17669333549291,
      0.153662813407335,
      0.0388206890551008,
      0.00555465969184238,
      0.0611497068817458,
      0.0613747445377357,
      0.00604025221152325,
      0.000591344835767336,
      0.0374143225408586,
      0.00378499449052047,
      0.000469390996896158,
      0.000142624953571965,
      0.0000216164909332276,
      0.00235177392208549,
      0.000335447558737373,
      0.0000376491392197743,
      0.0000149818952666426,
      6.27696596662852e-7,
      0.000289824905167848,
      0.00194885330080143,
      0.000169516107246946,
      0.0000846699489216392,
      0.0000134340872030331,
      0.00220207248715781,
      0.00253374661406014,
      0.00024833270687134,
      0.000172690956405785,
      0.000125270323222967,
      0.00226809982618571,
      0.00237427296312204,
      0.000205228894793574,
      0.0000117655976548856,
      0.000444407059544264,
      0.00212897290539515,
      0.000704570012961541,
      0.00047300439670278,
      0.00052212574350288,
      0.000408826132919669,
      0.000852578406004771,
      0.00323663743584184,
      0.000849755527942674,
      0.000676542368141146,
      0.00180906238851395,
      0.00221338120727751,
      0.0049424021376819,
      0.000984823360224954,
      0.00167252309260807,
      0.00237786224798541,
      0.00124328068097628,
      0.00189616443764078,
      0.000239456060295503,
      0.0000930219830689507,
      0.00211857818126084,
      0.113345844401561,
      0.35555412304356,
      0.348097902989162,
      0.0487336307869415,
      0.00531801042780535,
      0.0425377451973349,
      0.0456864327304816,
      0.0450864331289077,
      0.00732160793589693,
      0.00251361854395054,
      0.0348360718848872,
      0.0377640577429201,
      0.0297900799783831,
      0.00328515242320605,
      0.00253960580855356,
      0.00236637790313508,
      0.033794505162988,
      0.0312655046679221,
      0.00171626005910729,
      0.00259989994838581,
      0.213453984582956,
      0.282094034280764,
      0.286189943714644,
      0.0374681630285302,
      0.00346903330205583,
      0.13381272258268,
      0.191827792130555,
      0.129233369183946,
      0.0218760395030377,
      0.00400756216731676,
      0.06611936203191,
      0.0581808142654309,
      0.00349943669305793,
      0.000554635885567134,
      0.0375613516887311,
      0.00310885596149575,
      0.00027987603594229,
      0.000123990195860408,
      0.000168530183350689,
      0.000165736895246696,
      0.269607139293646,
      0.43737863170987,
      0.155248873261261,
      0.0121440206096303,
      0.00133121113401202,
      0.0485664698105666,
      0.0682431945658892,
      0.0224176031787618,
      0.00302863602616834,
      0.00161851148863363,
      0.0599049017829846,
      0.0374555471133905,
      0.00627411822939327,
      0.00272885296649869,
      0.00263400767488042,
      0.0302154376852218,
      0.034184219866568,
      0.00389057627932973,
      0.00229655603698534,
      0.000775537753914259,
      0.000351845456520571,
      0.000393117314679465,
      0.000489330799376057,
      0.000314732771894494,
      0.0013194138095998,
      0.00146377797994463,
      0.000131925247946736,
      0.0000472498947607657,
      0.00181198758262992,
      0.00214401023499406,
      0.00126694033806229,
      0.000201626020089413,
      0.000209471058335894,
      0.00380880155286707,
      0.00444785929326634,
      0.00136265252180726,
      0.000597278417813703,
      0.000358848212388737,
      0.00238254660394109,
      0.196996285651309,
      0.391648216784219,
      0.242591592282241,
      0.0297507613430552,
      0.00305110610376605,
      0.0463833023789628,
      0.0431601556356142,
      0.0469580682458012,
      0.00440966226695271,
      0.0023126934838285,
      0.0379490777530102,
      0.0346212380689288,
      0.0312638155370261,
      0.00183930985854239,
      0.00264490215072855,
      0.00225329333518948,
      0.0339677066643447,
      0.0314532449479732,
      0.00102289528663505,
      0.00251106939433947,
      0.267134974361333,
      0.27945640740059,
      0.261852004824295,
      0.0202420435748116,
      0.00241370462015919,
      0.148510538500161,
      0.197802265019771,
      0.113840087870268,
      0.0126201693839821,
      0.00246761955637542,
      0.0699067861308766,
      0.0537144276850308,
      0.0019117034741895,
      0.0325291665918821,
      0.00634797304149459,
      0.00274078591193328,
      0.000206791095028022,
      0.0000762993948905166,
      0.00173922930729756,
      0.041731614803367,
      0.34177888037181,
      0.426758224021968,
      0.0593081140679356,
      0.00712770543956994,
      0.0392563146098534,
      0.0471644270383234,
      0.0451219580345133,
      0.0104830304173623,
      0.00133167580858141,
      0.0322899351490261,
      0.0396532433120138,
      0.0303325872436064,
      0.00524210851432372,
      0.000868825286514961,
      0.000180478997401756,
      0.0327115026528241,
      0.0325331041653781,
      0.00214218299917853,
      0.000241725285672419,
      0.000562692327350711,
      0.000292248509502722,
      0.00047114479191735,
      0.00051300432591895,
      0.00085128992014929,
      0.00246742810690815,
      0.00146709182951536,
      0.000505809358896109,
      0.000721143040568905,
      0.00224984956830895,
      0.00473483461656907,
      0.00248078284752369,
      0.00142749420992668,
      0.000708024109709943,
      0.00298223320915804,
      0.00227748679700789,
      0.00033212438056504,
      0.000140844866156564,
      0.0000601784444171547,
      0.0000043516676151776,
      0.24764989285663,
      0.41916356657248,
      0.172522376408996,
      0.0162162415015659,
      0.00184330744969535,
      0.0456239109790978,
      0.0437510716006021,
      0.0465452339176365,
      0.00249773106550697,
      0.00190844801155869,
      0.0378753603602892,
      0.0403459039612816,
      0.0265369088957529,
      0.00178931062272652,
      0.00222594199036613,
      0.00890222510219345,
      0.0544999172940473,
      0.00638708253705878,
      0.00191652689100035,
      0.009955056063982,
      0.324409128421629,
      0.357072491596862,
      0.12791273556928,
      0.011443416772932,
      0.0468539434254748,
      0.174617276560478,
      0.187612720846772,
      0.061598283845975,
      0.00837541412050625,
      0.0485104270983634,
      0.0665895470098544,
      0.0110066324728829,
      0.00109689389311169,
      0.035255852193438,
      0.00486789442764205,
      0.00123654206507874,
      0.000234973730918078,
      0.000650451805621727,
      0.00286705993304965,
      0.000729803048097665,
      0.000582530921577238,
      0.000521474295984294,
      0.0000869727190505576,
      0.000380848954162037,
      0.00203735702149471,
      0.000855904041634394,
      0.000812134253031583,
      0.0006238957004415,
      0.00204587120899909,
      0.00242172858512439,
      0.000829010511336264,
      0.000733200635949373,
      0.000199251620657919,
      0.0023403204055773,
      0.00227389675243563,
      0.000317023714004952,
      0.0000378757925046452,
      0.000528127138460825,
      0.00292514948834739,
      0.000885953612074164,
      0.000502111528594076,
      0.000398457474059928,
      0.0000344424041153261,
      0.000398080840001101,
      0.00207430021438752,
      0.000622675462112348,
      0.00118919494124232,
      0.000137321479282665,
      0.00218858019753104,
      0.00310314407959685,
      0.00117572347805581,
      0.000454695172452163,
      0.000432249754324528,
      0.00209621965087972,
      0.00231931464125749,
      0.000166111915551659,
      0.0000432991004646754,
      9.28032463992576e-7,
      1.3969632508989e-11
    ],
    "energy_curve_low_mid_6": [
      0.0769754185054382,
      0.0738878078387705,
      0.137155072486632,
      0.199499666839387,
      0.0353787454997495,
      0.116923389517669,
      0.051414463589734,
      0.0713122455048193,
      0.102642063863208,
      0.0240544936890524,
      0.0853916333216077,
      0.0824364604467479,
      0.0367611163393126,
      0.154463703999984,
      0.0528132353619492,
      0.0741937025693025,
      0.124073553763637,
      0.07388935929806,
      0.177552364684056,
      0.079269757078559,
      0.113695447355745,
      0.068364660140161,
      0.125639950953114,
      0.102506352116423,
      0.119629817438528,
      0.123673948080846,
      0.0720919113893738,
      0.077613452828316,
      0.0556054252709254,
      0.0465980537042028,
      0.0581411326442435,
      0.0865704794786598,
      0.0569046088656437,
      0.125433899738695,
      0.0328052040389423,
      0.0805484518774483,
      0.109180565380587,
      0.0741373322243241,
      0.157482394783503,
      0.0520905730449035,
      0.11849195547767,
      0.256762744891909,
      0.137046813502527,
      0.0831259797202866,
      0.219799206784626,
      0.229744055941585,
      0.242979588396795,
      0.158087215835767,
      0.0922041861436848,
      0.152761244755656,
      0.159210706004359,
      0.207238838389735,
      0.131529015462788,
      0.0698071895080411,
      0.180555661585881,
      0.147900752888944,
      0.174122675696547,
      0.0936668847640616,
      0.0322920500980949,
      0.155419483257296,
      0.294032459331355,
      0.261354646697791,
      0.196012154603797,
      0.134858639979299,
      0.389271546037087,
      0.333776940580837,
      0.254056131058397,
      0.262711861606367,
      0.141355574221062,
      0.321778041429905,
      0.315225304142484,
      0.274716637973623,
      0.166096919358288,
      0.148682307692812,
      0.278403618907052,
      0.284550283670479,
      0.226714295885708,
      0.0994166371743825,
      0.0643196666285604,
      0.295484352106053,
      0.223041418025394,
      0.103225887408695,
      0.114255768411765,
      0.0370579338307812,
      0.199214285207927,
      0.259082158782193,
      0.135791060321204,
      0.0720223043102094,
      0.0541006624849352,
      0.179687858002149,
      0.233095898400627,
      0.157052543663216,
      0.109015303278754,
      0.133443846434892,
      0.168253858865552,
      0.227576356105042,
      0.113610905074687,
      0.101785465123317,
      0.149908572802607,
      0.140597790637116,
      0.223947245612511,
      0.128982316993941,
      0.0965315921412334,
      0.187769827956502,
      0.0941170454077218,
      0.233882437364415,
      0.111811654731788,
      0.0890302015948986,
      0.141959642420455,
      0.0854927280059636,
      0.220253238171903,
      0.129200352104574,
      0.0987474140470472,
      0.191079127915175,
      0.0806973506613065,
      0.214599977562641,
      0.119959488998767,
      0.0918642269446679,
      0.190439391685226,
      0.226531314864872,
      0.138362997918487,
      0.104315747982314,
      0.0556993396813457,
      0.218095385293802,
      0.162981704765109,
      0.16130560181304,
      0.094838106693086,
      0.0646808645823435,
      0.275564610359314,
      0.204953092864366,
      0.130983102017569,
      0.071007585459508,
      0.0750332566781005,
      0.284190927040222,
      0.232437037397685,
      0.128540144036828,
      0.0622369176708647,
      0.00484272750292436,
      0.247365504459951,
      0.235770872482132,
      0.246532844810567,
      0.153182566726544,
      0.127118466676016,
      0.30488779847289,
      0.235518694764648,
      0.238136636631215,
      0.207685918742723,
      0.136252965157902,
      0.243539811001025,
      0.314135154715077,
      0.207734016107441,
      0.161600152784903,
      0.0772360748893658,
      0.160883434819832,
      0.189552135727289,
      0.141807739341183,
      0.0716820081681134,
      0.106632463758482,
      0.308997877778573,
      0.343624745230801,
      0.333499168097483,
      0.149815516541873,
      0.146795957657186,
      0.230477723464367,
      0.235313106871553,
      0.150096026839436,
      0.0715609873549716,
      0.170094338057619,
      0.188761519940244,
      0.217517526119972,
      0.126408943514476,
      0.146687409132554,
      0.161136006096527,
      0.240342937509774,
      0.213218094888297,
      0.136957754431278,
      0.173755968731798,
      0.228491919050434,
      0.253876413927085,
      0.232085508873565,
      0.173392550449798,
      0.0902024063936065,
      0.34568460543583,
      0.253370571497914,
      0.19037173881933,
      0.100318634823425,
      0.0364521073596082,
      0.229569371277304,
      0.220337003707185,
      0.118908217177796,
      0.105870845868595,
      0.0933158595683125,
      0.197059300121135,
      0.26879871628218,
      0.133711649481111,
      0.0971136648503246,
      0.169558469141488,
      0.272646208110077,
      0.263835092898302,
      0.156550540954219,
      0.144731620482257,
      0.02037128683594,
      0.402133010622071,
      0.24935490147751,
      0.162919362014799,
      0.15136154858196,
      0.0235723382336367,
      0.25581686976494,
      0.258652645141868,
      0.0993077018433889,
      0.11401751587717,
      0.0207953752951915,
      0.261043513927134,
      0.176425583121614,
      0.14820435581006,
      0.0576754563145496,
      0.0261934722896525,
      0.25510173762325,
      0.354218310502264,
      0.197617953266992,
      0.171522160768734,
      0.252761080102626,
      0.381739646311278,
      0.301586109531569,
      0.256146477955028,
      0.2021955190416,
      0.208532809188324,
      0.283749371836013,
      0.350482892311263,
      0.217949800045681,
      0.187616232093871,
      0.192244649404809,
      0.252822960895972,
      0.263617213022281,
      0.192116253857412,
      0.0440059770589879,
      0.209870582996057,
      0.242420227240847,
      0.181429948269569,
      0.118438697334281,
      0.0767522077873263,
      0.191692231659943,
      0.0760641702201381,
      0.149180995888702,
      0.0831282474603161,
      0.0869983975756149,
      0.16819700502288,
      0.111649892034402,
      0.183456280556905,
      0.141629128159575,
      0.0874089120543614,
      0.223882570013049,
      0.205998587779854,
      0.168664294044293,
      0.104375606154797,
      0.0905667848711587,
      0.187598984579418,
      0.192816326187062,
      0.125173155896053,
      0.0749155231405143,
      0.0344749868806863,
      0.212125751131862,
      0.153210699036273,
      0.150532768674892,
      0.0686904575745632,
      0.0388764766849447,
      0.177709548277514,
      0.192796279653272,
      0.112807632741631,
      0.0765634222970289,
      0.0751235940793639,
      0.179019077857136,
      0.21523220003456,
      0.110028307652997,
      0.0621434632445774,
      0.0967195544350215,
      0.0833057636905745,
      0.271720981738893,
      0.130936315746937,
      0.0700467819135796,
      0.108596071673271,
      0.156685705164974,
      0.195541928625783,
      0.085738948162722,
      0.0723578179886364,
      0.130048976651768,
      0.20570713523597,
      0.207380362214128,
      0.0818862310434642,
      0.0729291073151015,
      0.115276482356,
      0.258715152352047,
      0.261315591497029,
      0.145830952143494,
      0.0618349599438016,
      0.183984646703944,
      0.183049757962663,
      0.253067568234404,
      0.235711971601555,
      0.134881990432831,
      0.267095372197098,
      0.158822070341811,
      0.28123342451504,
      0.230584744796773,
      0.207538062464999,
      0.215239366354461,
      0.221582019544256,
      0.273575666263875,
      0.204568897083609,
      0.124653713817286,
      0.17722582327305,
      0.138572816468251,
      0.184531690380949,
      0.0962796313520948,
      0.0596472417951994,
      0.289887198221603,
      0.288800270546104,
      0.311520367792193,
      0.323454864207529,
      0.0447831752349433,
      0.334636099532501,
      0.210854293877549,
      0.154917958983848,
      0.110476819490269,
      0.0249243156349708,
      0.299310851440592,
      0.226743323951508,
      0.106880786784157,
      0.170760161229529,
      0.0562451179724733,
      0.297252360952844,
      0.279476926604193,
      0.128370250529691,
      0.182954223819072,
      0.0811214016642649,
      0.298676381072229,
      0.278448675897155,
      0.175824424999768,
      0.123858445960758,
      0.141068082448609,
      0.326245403119158,
      0.270032973195864,
      0.145978494479152,
      0.0734800028455125,
      0.0722817660125097,
      0.209407251781712,
      0.244782417356224,
      0.0924579110669575,
      0.133817294051378,
      0.0747217175812186,
      0.212367628836982,
      0.260713608293613,
      0.11926531385242,
      0.196392743315757,
      0.143057685734484,
      0.229462880579217,
      0.197865947959546,
      0.231522303608171,
      0.190846381597373,
      0.201024877104437,
      0.258332395868223,
      0.178465552435251,
      0.225086694958377,
      0.208211151910591,
      0.206554683647799,
      0.221223895793078,
      0.189670547201209,
      0.1817557437649,
      0.175119552705096,
      0.146732746540769,
      0.2541059305756,
      0.260383782099171,
      0.220718595121358,
      0.0501046688268067,
      0.185367873865724,
      0.381795934578275,
      0.266561534561183,
      0.191212638901028,
      0.135119164868975,
      0.375015722942323,
      0.303107201699365,
      0.244920606509598,
      0.264873407709679,
      0.142269042816585,
      0.314953948992019,
      0.305030155297778,
      0.279070800357474,
      0.167770354691126,
      0.146191739280231,
      0.274554063447393,
      0.275426489446543,
      0.224038911653273,
      0.0514352714834694,
      0.0470084645606424,
      0.160421923701649,
      0.218624764583065,
      0.111422005147044,
      0.0383372701341897,
      0.0412011290908078,
      0.23147561976034,
      0.184378746871562,
      0.0801291234743757,
      0.0366716020931243,
      0.052464514900264,
      0.198999067057014,
      0.207995545826105,
      0.0606615797347642,
      0.0341880912402469,
      0.0529562063147671,
      0.15653822712698,
      0.164167233464034,
      0.0562986765588745,
      0.0351802472039757,
      0.0572014569225471,
      0.156124085114245,
      0.267735214617105,
      0.104992221802236,
      0.00410001379131712,
      0.180773401242311,
      0.111168020637934,
      0.172430550859847,
      0.0875952657845337,
      0.0294158548055194,
      0.138911097291367,
      0.103531257673704,
      0.221369235516999,
      0.0763795276419494,
      0.0420196392459476,
      0.14618652115443,
      0.0825290569620082,
      0.178262534917496,
      0.0424356506344446,
      0.0117771085199483,
      0.176004121127732,
      0.203973790610294,
      0.156577159069876,
      0.0983720176555116,
      0.040293481843639,
      0.227872230605259,
      0.20302359897819,
      0.174136674426956,
      0.0776640275056006,
      0.0569356231329645,
      0.224292918271822,
      0.173643265664559,
      0.149063931742195,
      0.0817761816007794,
      0.0354287354284654,
      0.20229706742414,
      0.134753924743977,
      0.0862682336662453,
      0.0320542304901198,
      0.00924365517990449,
      0.215330095741875,
      0.308087856622465,
      0.169164956358686,
      0.0736840155459018,
      0.0122226911287994,
      0.286431460546715,
      0.234193051989094,
      0.104347263662249,
      0.0573822286664422,
      0.0449298457174797,
      0.242904917093896,
      0.21555598295836,
      0.0868307970865709,
      0.0536062491367745,
      0.0132176047670161,
      0.144656840299636,
      0.158066921727391,
      0.0205225235893519,
      0.00489317290893144,
      0.000168060971536597,
      3.53450792460789e-10
    ],
    "energy_curve_mid_6": [
      0.0279118482633242,
      0.0249426273005287,
      0.0229271084039151,
      0.0257510647112993,
      0.00341980186661934,
      0.0214797836423143,
      0.014273774738895,
      0.0100510156082393,
      0.0130646529184362,
      0.00207729990019987,
      0.0191368236368035,
      0.0160456529552435,
      0.00694243614874404,
      0.0244843451912586,
      0.0094819807024788,
      0.0146511862652615,
      0.0364835021800836,
      0.0353777948032386,
      0.0482888217274224,
      0.0207846282967575,
      0.0541095089733783,
      0.00846878629361837,
      0.0457539277486878,
      0.0195679192037411,
      0.00992639234899828,
      0.0210912615669658,
      0.0148331859265329,
      0.0276087551676484,
      0.0208449070993851,
      0.019450111234363,
      0.0223650280040988,
      0.0276563318988274,
      0.0153643497761098,
      0.0243982182476346,
      0.00492268028540805,
      0.0298730769569487,
      0.0391073899557601,
      0.0452833810938062,
      0.0312402059167446,
      0.0160492139790515,
      0.0154139642734035,
      0.00498953368316278,
      0.0643921771376081,
      0.00223697478253707,
      0.068038443115714,
      0.0117665187432349,
      0.0108801213593652,
      0.0683558062953668,
      0.00474839322683173,
      0.0799932158574984,
      0.0111292192896983,
      0.00959078025667663,
      0.0789671366229464,
      0.00312123663396571,
      0.0719899487475777,
      0.00931762363132833,
      0.0329031878843831,
      0.0484219812696894,
      0.00172222753131017,
      0.0839716530533313,
      0.0149699128566708,
      0.107697453613568,
      0.0389686913149182,
      0.0243428562353806,
      0.11307075466443,
      0.0303365487225879,
      0.126366622385433,
      0.0278821250572812,
      0.0200064349735021,
      0.128856838012655,
      0.0293216949843899,
      0.11704697613258,
      0.0160576270583445,
      0.0131860888153449,
      0.103726438513702,
      0.0349994676286212,
      0.0836186089778278,
      0.0196377187785528,
      0.0242480358092322,
      0.127983403146186,
      0.013738985261454,
      0.0775776612322499,
      0.0157868453512867,
      0.0550832404589141,
      0.0643171397885273,
      0.0190821662543147,
      0.0748480342394508,
      0.0120087371055707,
      0.0885354227601175,
      0.0559555001057533,
      0.0517527671300401,
      0.108141635642469,
      0.0522657187197137,
      0.137170201705815,
      0.03548691290539,
      0.0503347143528245,
      0.121457051686829,
      0.0395263820631288,
      0.117139138506683,
      0.00100104123224689,
      0.00278906994646929,
      0.10406896510883,
      0.0188792342378608,
      0.105784415835408,
      0.00133607720708811,
      0.0305783731842915,
      0.101661459375498,
      0.0156283292950527,
      0.103451317112043,
      0.000468063458539676,
      0.0670736140040526,
      0.120774897147581,
      0.068342416303898,
      0.133799808657156,
      0.00407821117185634,
      0.0504033157387591,
      0.127467914402535,
      0.0710041270639929,
      0.156154165794987,
      0.0383663316106914,
      0.0532411725851658,
      0.0663728860276583,
      0.0297988264796611,
      0.096965202084649,
      0.0255740016850471,
      0.0696923422036911,
      0.0389711747433681,
      0.0335897995972817,
      0.113013793142008,
      0.0605965383701704,
      0.157994506303649,
      0.10498760586219,
      0.0742184991090873,
      0.107226550871963,
      0.0360845585689805,
      0.156368476774093,
      0.0704079458403406,
      0.00277478013700986,
      0.0849389142835596,
      0.0147954961158997,
      0.0949851459427712,
      0.0195866655411035,
      0.00696058892466554,
      0.0880496784883389,
      0.0237954517327844,
      0.113002580513288,
      0.0517998886603485,
      0.0335736702837493,
      0.0797095831511209,
      0.0136671222824956,
      0.107441361086587,
      0.0383758728268666,
      0.0694091128944421,
      0.0476695797720261,
      0.0107639849496624,
      0.0959490549486139,
      0.0256525600443811,
      0.175089360870631,
      0.126517796758802,
      0.0606894807549147,
      0.111403319666392,
      0.0222429164965072,
      0.080151442784677,
      0.0469362643690773,
      0.0219048844524784,
      0.0790091676509077,
      0.00738583514723153,
      0.0861021741831367,
      0.0246519297691896,
      0.0331466369442445,
      0.0903948119462262,
      0.0205703754262148,
      0.0729819425425615,
      0.0312793696756942,
      0.0408096599241774,
      0.105244046408385,
      0.0483727512537691,
      0.102755011520057,
      0.0613970286792024,
      0.0518404167148295,
      0.109239766058593,
      0.00852811265272114,
      0.110323156034704,
      0.0238308928225567,
      0.0780341611671715,
      0.0680708845853469,
      0.0135091717989565,
      0.116481633499476,
      0.0431894949223622,
      0.114366177477234,
      0.0233969905619223,
      0.0205312612780396,
      0.10797333152581,
      0.0464333301616521,
      0.12017980811201,
      0.048613752102751,
      0.0552871827398948,
      0.15200704828138,
      0.0280061273064354,
      0.0867008425180893,
      0.00654335360413247,
      0.0029514423041317,
      0.10536521728297,
      0.0125868392341214,
      0.0741589979396203,
      0.0100495283749502,
      0.00423431676458884,
      0.0902871505500138,
      0.0214604753956465,
      0.0862270946437431,
      0.00791331845353538,
      0.0154848799601952,
      0.0730896699690245,
      0.0156888715798214,
      0.077776042975786,
      0.00458016254666389,
      0.0556874423461113,
      0.061547266638731,
      0.0294340241014558,
      0.118024436115036,
      0.0280731274520493,
      0.099093984111407,
      0.0475518095619256,
      0.0431106810855969,
      0.114297852997934,
      0.0244603233105124,
      0.101135985172814,
      0.0548534903698638,
      0.0433805337093903,
      0.0959331409717748,
      0.0176366640248045,
      0.0984415629518966,
      0.0272651034807406,
      0.0287192357740462,
      0.0841971847028216,
      0.0314164171240712,
      0.126774023756292,
      0.0233619849462603,
      0.0191928749855518,
      0.0768586735365685,
      0.0312794435502483,
      0.10968615615409,
      0.00044481476348824,
      0.0382697831788201,
      0.0746651051527287,
      0.0407768217913709,
      0.102644744821103,
      0.000366894131731228,
      0.108369242335646,
      0.0589298334587001,
      0.0253275068459124,
      0.0844263141499234,
      0.02602850760522,
      0.109805565233849,
      0.034863067553691,
      0.0372411254804574,
      0.0880076937269793,
      0.000587314444713695,
      0.130297213922924,
      0.0235344218373257,
      0.0825929998277293,
      0.101006655873253,
      0.000456567666975112,
      0.0919859210122381,
      0.034510455680789,
      0.0753702056117039,
      0.0925570316975493,
      0.0306492742213698,
      0.137188175340419,
      0.0415140501921133,
      0.0625186139299431,
      0.0860079623682401,
      0.0555679562161599,
      0.130082799463561,
      0.050752460473342,
      0.0873877038028778,
      0.110470037578321,
      0.0143852210326319,
      0.0940421861593931,
      0.037219820802723,
      0.106014893907417,
      0.0181928200975347,
      0.0111316558968206,
      0.0913815720149045,
      0.03288460445143,
      0.112431238800949,
      0.0835138642753994,
      0.0737743157149334,
      0.150366204157604,
      0.0597561086231086,
      0.111421104039668,
      0.0121927453333377,
      0.0460830321036857,
      0.117505016660083,
      0.066477640767537,
      0.121928982251876,
      0.0152362974773497,
      0.0156361010542793,
      0.103647834855062,
      0.0158157343172688,
      0.0848288012415031,
      0.0164183890678081,
      0.0307854581597518,
      0.122108780096165,
      0.0524716857209993,
      0.0894289279706983,
      0.0114406490505249,
      0.0432068426588762,
      0.0951293123224815,
      0.0355086881276263,
      0.101143313776196,
      0.013645940475063,
      0.0758193724178999,
      0.0362938024052439,
      0.059703321539441,
      0.213406506391947,
      0.0818685338131566,
      0.122011023793711,
      0.0450001518591028,
      0.00814304788810387,
      0.116560430304317,
      0.022563875263192,
      0.0751160495381601,
      0.0160859192793203,
      0.0049507609099994,
      0.102614416530577,
      0.0320836241463793,
      0.0856737349002262,
      0.0263992900117256,
      0.0112097227188199,
      0.0853041679402772,
      0.0460658419145275,
      0.102233812279443,
      0.0486655402827508,
      0.025028703353761,
      0.143122847218485,
      0.0208931328845559,
      0.127448969583605,
      0.0200237249597489,
      0.0371463895007393,
      0.0891388322306828,
      0.0314014571439924,
      0.114570759908538,
      0.0218898027443075,
      0.0843368706464461,
      0.0502992678957076,
      0.0479170588002233,
      0.105256217126872,
      0.0261379159492962,
      0.0859352253625027,
      0.045593599172301,
      0.0532979104221582,
      0.123522250235674,
      0.0574089857187663,
      0.144856763730259,
      0.043489711421727,
      0.0383964250029665,
      0.0858027515254574,
      0.0250489096058704,
      0.106508999648163,
      0.0514925411299351,
      0.0299105773501053,
      0.0844477612548307,
      0.0219872925211101,
      0.105902570740162,
      0.0370755003735018,
      0.0240079424942712,
      0.0855705666832544,
      0.0114768690347724,
      0.0947603295514509,
      0.0340739536396401,
      0.0552019049712163,
      0.0574083991734903,
      0.00194079352094112,
      0.0927996089282284,
      0.0282061987243515,
      0.0889555111527501,
      0.0387385880083074,
      0.024407930865222,
      0.104780361995471,
      0.0260117766410363,
      0.10671283251686,
      0.0283675909024513,
      0.0203214212580923,
      0.112025615483374,
      0.0217045015896433,
      0.0924997672231949,
      0.0162133226213727,
      0.0130192416477941,
      0.0951166738579611,
      0.0233014300566081,
      0.0823989012179743,
      0.00175912039330161,
      0.000381892002585755,
      0.118472350016071,
      0.0178940221175803,
      0.0902931151658827,
      0.00694724116730572,
      0.019214949702109,
      0.1063574774974,
      0.015667505287109,
      0.069821017271857,
      0.0195893645436192,
      0.0458576580500372,
      0.0678684930743334,
      0.0281693524187177,
      0.0791422775978102,
      0.00290473204781871,
      0.0752790288062029,
      0.0161717763768199,
      0.0103353804134217,
      0.0690802386822288,
      0.00781672710172024,
      0.0837201863699012,
      0.0214285655361978,
      0.0106484033876417,
      0.0932071895028882,
      0.00253919442912109,
      0.10436912113035,
      0.0121483156271203,
      0.00655761113811546,
      0.0940338141938039,
      0.0266089835483592,
      0.0896867065236054,
      0.0205441183422365,
      0.015749291899447,
      0.0940409687446737,
      0.00886169204925836,
      0.0798888249314352,
      0.00215404677352429,
      0.0295330598467534,
      0.0769364067679586,
      0.00528277148236376,
      0.123183053755991,
      0.0238957099722691,
      0.0359349741359491,
      0.0297311595590337,
      0.000872849316393745,
      0.0768906261865759,
      0.0106419644935599,
      0.0583563925505839,
      0.00901886470513681,
      0.00110433436371473,
      0.0786261994713952,
      0.00613900964963126,
      0.0718103496561367,
      0.00136236588168298,
      0.000596770612755757,
      0.0838297152589031,
      0.0120281764816721,
      0.0698859075552997,
      0.000438505636745591,
      0.00150859794043236,
      0.0968856614595054,
      0.00830147283666239,
      0.0786547386112534,
      0.00160548371833222,
      0.000664862670314453,
      0.0923353585817058,
      0.00474271283528005,
      0.0813067196115005,
      0.00227410569167453,
      0.00854898209832775,
      0.0739975776784819,
      0.00126886738123426,
      0.0803099839364867,
      0.000642410091314894,
      0.000136820032091309,
      0.000133081214053093,
      0.000175334357091397,
      0.00000462875132265467,
      8.64821121740017e-7,
      1.42187791966092e-8,
      4.89520153152643e-10
    ],
    "energy_curve_upper_mid": [
      0.00780664828445335,
      0.00421996527128045,
      0.002315261253481,
      0.00333995571162747,
      0.00177083984141325,
      0.00382702708067978,
      0.0185383762064965,
      0.00772526002136602,
      0.013074063465708,
      0.00240819516081985,
      0.0060370462900449,
      0.00912787001677946,
      0.0046528716787348,
      0.00770271966626166,
      0.0039622485612095,
      0.00607549194308334,
      0.00722719868576809,
      0.00477069510044908,
      0.00908213393134089,
      0.00526200687457148,
      0.0148579204084199,
      0.00390328962850177,
      0.00511117825738552,
      0.00399099548750137,
      0.00157793158424204,
      0.0147293621357953,
      0.00775017272637884,
      0.019023226155085,
      0.0157394983879327,
      0.00676319897561209,
      0.0081131864006483,
      0.0102494640768548,
      0.00748431923415041,
      0.0136940293224493,
      0.00313126841960908,
      0.0095690127573949,
      0.00599010153177554,
      0.00684949887329344,
      0.0184386920911921,
      0.00300835930237273,
      0.00467329403263608,
      0.0030600281476237,
      0.0936727534472696,
      0.0026021193617246,
      0.106033398541431,
      0.00359499347722396,
      0.00854847617278698,
      0.113623139086762,
      0.00359044509731341,
      0.126700431966069,
      0.0158282940553735,
      0.00786252557442618,
      0.113452437051657,
      0.00230069583846412,
      0.123149581917154,
      0.0226906602326215,
      0.0463002535332733,
      0.0765262846122846,
      0.0031936723447294,
      0.127818921951771,
      0.0201676813777276,
      0.115234380515109,
      0.0572943343191963,
      0.0617019778908051,
      0.163681142336871,
      0.0152547002795023,
      0.15149947388238,
      0.0291520920302819,
      0.0200351893426486,
      0.142580167688961,
      0.0175127694556554,
      0.122609321402508,
      0.0125046127404386,
      0.00794753663545488,
      0.122125526137989,
      0.0049475254200887,
      0.122538358743969,
      0.00241510895540019,
      0.00260005506506621,
      0.155352591673878,
      0.0615017079267899,
      0.147700981950746,
      0.0539674179615774,
      0.117958970585652,
      0.115758372476595,
      0.0565673917750821,
      0.165057677186834,
      0.053690880523391,
      0.155358253297508,
      0.0875490952008676,
      0.0613972809827737,
      0.197529150384019,
      0.0865829909275252,
      0.16201569545057,
      0.0283445186172163,
      0.0931092393888897,
      0.19239401069011,
      0.0781301441630377,
      0.208033254492756,
      0.00991158644678164,
      0.0717575038920329,
      0.176407767564817,
      0.0442857722016692,
      0.176902183491437,
      0.0163461859547128,
      0.0539780678814277,
      0.189200475523765,
      0.0392645053756306,
      0.169751574453066,
      0.0191515389034736,
      0.15574523504866,
      0.170127048144567,
      0.118686467890148,
      0.16919059661258,
      0.0210381883025295,
      0.084891102649164,
      0.166297822869255,
      0.14580136152369,
      0.185147596426316,
      0.0650201312573573,
      0.139953326732921,
      0.115882081413051,
      0.0736768579516041,
      0.116095277092022,
      0.0364848167466495,
      0.159302324688624,
      0.0720389181409519,
      0.0787724576426633,
      0.183380353740552,
      0.0373318421577036,
      0.180642323650715,
      0.0749994272966778,
      0.110744803333277,
      0.144822676110662,
      0.012969212023551,
      0.159669322404997,
      0.0628897286795418,
      0.037854150089307,
      0.134266636559424,
      0.00474433453215128,
      0.121594939042017,
      0.0201562310185147,
      0.0341460933680822,
      0.14500523955281,
      0.0107907459466493,
      0.127948152172269,
      0.0170738506009204,
      0.0305413769707373,
      0.101161701313571,
      0.00361952383108786,
      0.133942142397933,
      0.0394036984151053,
      0.0969671888391454,
      0.061315010883496,
      0.00432393447100038,
      0.128869228107635,
      0.0294942803899466,
      0.174155046122852,
      0.113263711271902,
      0.0524642374644231,
      0.139908242415444,
      0.0325894375462714,
      0.140130199198544,
      0.025580536134191,
      0.040821957588884,
      0.158809313745378,
      0.0391383840455208,
      0.169272448442544,
      0.0210284516924663,
      0.0413989485748487,
      0.156280249180761,
      0.046499241244155,
      0.147467581092856,
      0.022153946295357,
      0.0364862066964957,
      0.151663030961743,
      0.0704897597550426,
      0.128854962315385,
      0.0268462603155005,
      0.0488089610533759,
      0.13712379229649,
      0.0596868237062367,
      0.128862825193552,
      0.0316844962013663,
      0.123241727389093,
      0.0907621559048795,
      0.0712047116859119,
      0.13099147558926,
      0.0248815882329223,
      0.148476053946914,
      0.0423158193697955,
      0.0733736248776183,
      0.132518591066639,
      0.012714084847458,
      0.159601548209806,
      0.0513036314503227,
      0.0668239406233646,
      0.15373989602308,
      0.00535575258704306,
      0.117653519034107,
      0.0399895697355363,
      0.0289257976746256,
      0.109249772094216,
      0.00758854322510417,
      0.154531589182361,
      0.0362710700553754,
      0.0277110932978191,
      0.136090323567137,
      0.0284373914710578,
      0.141334337602462,
      0.0295412666172802,
      0.0469841363105808,
      0.118453497974943,
      0.0303665125021049,
      0.14339931742808,
      0.0281914007312871,
      0.107875316324022,
      0.0611896959543372,
      0.0366911862440855,
      0.168434022232756,
      0.0665198420161191,
      0.203412168746795,
      0.030331989556567,
      0.0455761337594642,
      0.17783765215956,
      0.0388504349121799,
      0.163254176537759,
      0.0298906717841448,
      0.0358801765797032,
      0.141871961433203,
      0.0339499343184403,
      0.148208658803832,
      0.00496817012408358,
      0.0294785769131227,
      0.144841869982832,
      0.0322526470312258,
      0.161571214121154,
      0.0264508983096699,
      0.0559406311266256,
      0.139530513979795,
      0.090235463934415,
      0.145096679209754,
      0.0138920090110545,
      0.0610013722309753,
      0.146003629522351,
      0.105676047754417,
      0.161401886533546,
      0.0142035795834631,
      0.14882950135675,
      0.0810699225326203,
      0.0910000458221486,
      0.140763045485826,
      0.0361741360347637,
      0.177222630733439,
      0.0474840685656528,
      0.0802742337568005,
      0.135811738586385,
      0.00732876110766911,
      0.153161443084018,
      0.0716183987827809,
      0.0760348120316082,
      0.14579653292586,
      0.00692741023609812,
      0.171996897656574,
      0.0658349024588363,
      0.126444223088052,
      0.134454501559183,
      0.0306973822138424,
      0.187305331999231,
      0.0755044247805307,
      0.0898216472325375,
      0.139909132863796,
      0.0794182429455449,
      0.181947103754428,
      0.0603668461699657,
      0.115454313548271,
      0.123665830945231,
      0.0352487094698122,
      0.129043533320699,
      0.182438233264665,
      0.151787011521277,
      0.0357095457103195,
      0.0443077978953183,
      0.164382055453054,
      0.0487620217525241,
      0.180764345090294,
      0.0679587955746584,
      0.0625850865501011,
      0.190738778675075,
      0.0668260695511619,
      0.197993849273923,
      0.0204772240193565,
      0.0544332326734908,
      0.16032349117862,
      0.042309534180267,
      0.164589300836251,
      0.00927566400627186,
      0.0263385615495682,
      0.154216431737929,
      0.0498627867547885,
      0.165938804968726,
      0.0208157558774847,
      0.0390086893578205,
      0.155030451663939,
      0.0691059298339663,
      0.118370603488511,
      0.00284001817824376,
      0.0673470493132353,
      0.127748393800431,
      0.088322021531415,
      0.135198588720366,
      0.00598970300383069,
      0.125923540706656,
      0.0578906075754674,
      0.0991451912686841,
      0.20701652659857,
      0.0714941165622093,
      0.132195441129696,
      0.0473445381378567,
      0.0619796300154364,
      0.117526024517361,
      0.0265149837468038,
      0.149015902519894,
      0.0628586367665744,
      0.0494393981491683,
      0.144528444791153,
      0.016794308721346,
      0.170253790390845,
      0.0572497036006433,
      0.0363637159607844,
      0.131692205915418,
      0.0342026279507228,
      0.155655974577956,
      0.0448544606383061,
      0.0415824433013076,
      0.138482374133539,
      0.0384595428519831,
      0.146414374258218,
      0.0367846491467439,
      0.0815492616495627,
      0.0972107026747047,
      0.0452130259316916,
      0.170752723078757,
      0.0493760649090663,
      0.145201934018183,
      0.0304946159543068,
      0.0478849645193982,
      0.151653969762735,
      0.0450021383136122,
      0.149040958578285,
      0.0187669691332374,
      0.0450573627518458,
      0.159591600874779,
      0.0500206377347446,
      0.167873249099524,
      0.0214929389351613,
      0.0182095930675861,
      0.108188870377235,
      0.0512589070455082,
      0.156235114546707,
      0.0227772913530627,
      0.0193372292057209,
      0.123533525435381,
      0.0196361068449572,
      0.13936356485656,
      0.0250388855114563,
      0.0127124764196859,
      0.117784645532259,
      0.00968042724607394,
      0.127456084199449,
      0.0271287346381663,
      0.0518719633043337,
      0.0789830925627947,
      0.00365093471821346,
      0.150102843091473,
      0.0273530773866446,
      0.117641458619923,
      0.0570892572323025,
      0.0615692471380564,
      0.164099539756985,
      0.0152445890973091,
      0.147510705024624,
      0.0299130822571916,
      0.0200726962170811,
      0.140050501032125,
      0.0176201456307117,
      0.121706890901767,
      0.0124469873323905,
      0.00791844432498311,
      0.121466883517995,
      0.00494385487168757,
      0.122553206597076,
      0.00149357447129666,
      0.00264314989539603,
      0.154277323314948,
      0.0443971405178541,
      0.128157926822143,
      0.0321799863053922,
      0.0405465248729707,
      0.11766560273497,
      0.0415816049216391,
      0.136359978343343,
      0.045131328862902,
      0.106123186760684,
      0.0758797348011399,
      0.051777289752688,
      0.146412945780646,
      0.0363525059883077,
      0.14075174788264,
      0.0198575521292008,
      0.0413229576770121,
      0.147516795108877,
      0.0343930623641607,
      0.161531469820493,
      0.0153489552547431,
      0.0450260068926791,
      0.161489880027901,
      0.0280869687431746,
      0.170281258332629,
      0.0245294571934914,
      0.0337044310519356,
      0.163633811060081,
      0.0383818350886111,
      0.156191131459832,
      0.0353509654297561,
      0.0440693183644168,
      0.15495898594326,
      0.0617963007889886,
      0.131605321981746,
      0.0174473361079595,
      0.0506928255894998,
      0.146495829683597,
      0.0773139916968917,
      0.149424274018921,
      0.0181199266836828,
      0.0481114138718992,
      0.0456509567815874,
      0.000859469962595242,
      0.109827023279183,
      0.00312737583777588,
      0.0963579615442645,
      0.0084000559795559,
      0.00096858398780432,
      0.127724014880465,
      0.00224502313395073,
      0.114243771072269,
      0.00148378068847497,
      0.00115771006994062,
      0.118793774463895,
      0.00158412661695702,
      0.109112327157526,
      0.000840625340570751,
      0.0220770366808381,
      0.120228111804799,
      0.0025691941325292,
      0.111158856566545,
      0.00122110714782048,
      0.00124728503252361,
      0.126443843569705,
      0.00183051222878577,
      0.120613391542235,
      0.000912868359953083,
      0.0139157083144731,
      0.10528956150581,
      0.00144946703503912,
      0.110756331433864,
      0.000649304973922602,
      0.000137617478385147,
      0.0000944128190470804,
      0.000100345661642383,
      5.15519901242775e-7,
      2.74831202448188e-7,
      1.22041468578161e-7,
      3.69519393943069e-9
    ],
    "energy_curve_brilliance": [
      0.00513550981871051,
      0.0128726350855952,
      0.00168967877227048,
      0.00257154879855878,
      0.00232864397665316,
      0.00304284020235012,
      0.0219082208521867,
      0.00391477848729087,
      0.00661169155106347,
      0.00275687123910871,
      0.00427293141755159,
      0.00245789292652294,
      0.00380161937305657,
      0.00517394824594487,
      0.0016713973289862,
      0.00357960343115164,
      0.00282720368696124,
      0.00282059827407991,
      0.0172105954605588,
      0.00172697229396762,
      0.00387478790176375,
      0.0040524421508774,
      0.0040357994359237,
      0.00480361167767786,
      0.00136165494939435,
      0.0128455844901253,
      0.00394817660631275,
      0.00721814323574936,
      0.00678047921612341,
      0.00477711153775005,
      0.00238589841675616,
      0.00313639230728496,
      0.00909547181185155,
      0.00418405940996755,
      0.00103440332333693,
      0.00349943430743054,
      0.00332573465440338,
      0.00446684853360013,
      0.0260728753410731,
      0.00215435330801769,
      0.00306037548623233,
      0.00182438506459685,
      0.0617753260922086,
      0.00147360152859324,
      0.0533790968436119,
      0.00202091890304038,
      0.00230691620836754,
      0.0639959586927812,
      0.00164346783534222,
      0.0923802371465011,
      0.00395360457151542,
      0.004522655222651,
      0.0858267586709821,
      0.00161917029507641,
      0.0938369402438199,
      0.00397673054981846,
      0.0378626308785191,
      0.0590065465909115,
      0.00149343856028762,
      0.0938735806903905,
      0.0140660879040174,
      0.110140308365849,
      0.0333603730239722,
      0.043843484007035,
      0.12942142593303,
      0.0292948552910823,
      0.113148577709345,
      0.0310430382457863,
      0.0267147314988621,
      0.107976585287029,
      0.0246110275231248,
      0.112230900212061,
      0.0148173201460261,
      0.0156189687846079,
      0.0940831564152392,
      0.0050928599822177,
      0.0935423943296234,
      0.00256477325491941,
      0.00156566782860514,
      0.132685787375214,
      0.0768110457638164,
      0.0896528806978835,
      0.0293121263127717,
      0.0872082334355396,
      0.156950002325149,
      0.0248992963091913,
      0.123319919886727,
      0.0610769720077502,
      0.141903665757475,
      0.068748403277745,
      0.0344632672886347,
      0.157898587675861,
      0.107403381477633,
      0.125733733621678,
      0.0163311925099353,
      0.100757654422836,
      0.134826148579796,
      0.067756497808803,
      0.128868005700287,
      0.00908209901158897,
      0.0570757030440672,
      0.136844597886913,
      0.0134769039205046,
      0.156465922582667,
      0.0472812712829337,
      0.0214114723676804,
      0.120949950239488,
      0.0178597632894946,
      0.1276722777716,
      0.105916461845295,
      0.110551267718456,
      0.119086492501957,
      0.0812548488418382,
      0.138114706729567,
      0.0201291722330196,
      0.106824399870729,
      0.113180328380887,
      0.056489260721322,
      0.135008257793202,
      0.0254493831071327,
      0.0883955572193855,
      0.0558405821002674,
      0.106491053411878,
      0.0716974237688298,
      0.0341769134339396,
      0.118340999612747,
      0.025269838749039,
      0.070716330175131,
      0.215471879850262,
      0.0189685494941389,
      0.111110718150161,
      0.0303189602360147,
      0.0671506736200529,
      0.119078593647553,
      0.0134264740236435,
      0.14059898415543,
      0.0368732185613095,
      0.0125525145134652,
      0.097593277376415,
      0.00324691617948362,
      0.0993340407226819,
      0.00662377905410957,
      0.0304370205006255,
      0.106658021878391,
      0.0109915883681895,
      0.101853613487937,
      0.00555763162848732,
      0.017437764976851,
      0.0706787800322403,
      0.00103098424884987,
      0.101081302061466,
      0.00488889118012664,
      0.0555576659249196,
      0.037802078945775,
      0.00487607767688678,
      0.0894669265165812,
      0.00634380656067166,
      0.103378807033284,
      0.0275331326555645,
      0.0257639635554104,
      0.0724585015469092,
      0.0145427687305264,
      0.0760530135293131,
      0.0299969315334706,
      0.0201198512573222,
      0.0838832314679079,
      0.0170796603498154,
      0.115005581896117,
      0.0164424185979276,
      0.012899848558225,
      0.106257957983291,
      0.0163283259443727,
      0.107103894397147,
      0.0174499642659713,
      0.0130499029658864,
      0.121201260250984,
      0.0317857579898964,
      0.0987070933324022,
      0.0188898078396804,
      0.025086688555196,
      0.100421711354448,
      0.0238490141053537,
      0.111530941872856,
      0.0275762213689875,
      0.0755084124016349,
      0.0579295947275755,
      0.0273737589387604,
      0.0979932383763456,
      0.0147294749434903,
      0.108064655899136,
      0.0232934589938399,
      0.0252426804812082,
      0.100968210785617,
      0.0101724358134856,
      0.109231795751074,
      0.0425337010262067,
      0.021919026671236,
      0.12488242842832,
      0.00244912100258841,
      0.064550513118683,
      0.00852833792152947,
      0.0056095613365269,
      0.0535858383158998,
      0.00262197179237506,
      0.0697549107561443,
      0.00709749913007445,
      0.00514606932961615,
      0.0927260744470949,
      0.00638792872559769,
      0.0936507534415484,
      0.00685872197405538,
      0.0180580052242425,
      0.0818667632409772,
      0.00554706749877529,
      0.101838058774736,
      0.00556321345229477,
      0.0687978815406682,
      0.0324784896926734,
      0.03011194703681,
      0.11775345198224,
      0.0345084583902876,
      0.137444217172486,
      0.0430004344087875,
      0.0234209176430825,
      0.127875306214485,
      0.0325655998124787,
      0.108633247861934,
      0.0369773500363453,
      0.0235140090207185,
      0.110066467316769,
      0.0186096947840693,
      0.105350100990458,
      0.00671942901494234,
      0.0091981912969486,
      0.0961467190597896,
      0.00603466118363954,
      0.116849331095568,
      0.0309393778386672,
      0.0855395424691823,
      0.137468408808433,
      0.0341716794127478,
      0.153052768971899,
      0.0146231039333645,
      0.0858739223598804,
      0.076448515158024,
      0.0385939085491317,
      0.187139116310561,
      0.0143181284920548,
      0.0861688427824047,
      0.047669540411125,
      0.0570236006318175,
      0.134780364552758,
      0.0204838791794802,
      0.139427865763303,
      0.0172919316458413,
      0.0344331189889638,
      0.103883375421508,
      0.00697432075138848,
      0.117980917429987,
      0.106312642512829,
      0.0323761312228223,
      0.107565400936625,
      0.00707966742209936,
      0.114283806635682,
      0.0280121380147972,
      0.0275538123707102,
      0.0989133369488801,
      0.0168483597680334,
      0.133717984665087,
      0.0275675891636298,
      0.0453639690101753,
      0.209015817366729,
      0.0231327248237152,
      0.131159553221068,
      0.0474979603638717,
      0.060138036264534,
      0.198979030956311,
      0.0188276892568563,
      0.0789564139090382,
      0.036629204847998,
      0.0789821639673894,
      0.0178047142266477,
      0.0655145438240153,
      0.0864789154137706,
      0.0226993517743105,
      0.110036918989114,
      0.0260964155614722,
      0.0234603405707756,
      0.114323977784529,
      0.0244929983463203,
      0.13877775285532,
      0.0272338704748884,
      0.0248409297254785,
      0.122011027973346,
      0.0190476321497652,
      0.110073782197231,
      0.00821563451591839,
      0.00895597108144854,
      0.103596253195739,
      0.0126737689855061,
      0.131115046385742,
      0.0104089990434608,
      0.0152787213821704,
      0.105414498805954,
      0.0165526197248576,
      0.0813887106617071,
      0.00163531821159034,
      0.0277310305616212,
      0.0809988380705128,
      0.0115912565247268,
      0.0951061481776024,
      0.00483407042852637,
      0.0807159487853844,
      0.0218341154842417,
      0.0146383834082575,
      0.11667990190765,
      0.0247587987797142,
      0.0743823599005746,
      0.0142727222304419,
      0.0241635598232302,
      0.0735536109979455,
      0.0283180917918257,
      0.0836231365583603,
      0.0255761223367933,
      0.0183518122115338,
      0.109018749954876,
      0.009371167526449,
      0.109701455138288,
      0.0240141624147915,
      0.0123162441074377,
      0.111052166301093,
      0.0174821294214867,
      0.112393813589225,
      0.0349348003878248,
      0.015217412192804,
      0.104593449830247,
      0.0210855815990554,
      0.106691569313932,
      0.0192480676754847,
      0.0512361826357871,
      0.0818437535202069,
      0.0217050481972905,
      0.111887505257919,
      0.0221417134939771,
      0.0947632291438957,
      0.0191081358263049,
      0.021629625539009,
      0.119386233969888,
      0.0149658709350894,
      0.105999911203175,
      0.0118060860806009,
      0.021610253555699,
      0.115059179952762,
      0.038771917390807,
      0.122099247157177,
      0.0145055266185127,
      0.0319437395149087,
      0.0784345132852732,
      0.038674963180308,
      0.0869706193502075,
      0.0377924969443405,
      0.016989230130307,
      0.0849004925633578,
      0.027562526858855,
      0.116129391184606,
      0.0328245039610451,
      0.021879139553778,
      0.0949103120294719,
      0.0138495698597176,
      0.107047309913473,
      0.0100990118909735,
      0.0405507942194003,
      0.0625220434855318,
      0.00190438525083981,
      0.11766511250721,
      0.0223806900873139,
      0.111519211183136,
      0.033832561009163,
      0.0445776331889687,
      0.125114968510762,
      0.0293786393491659,
      0.112733318039313,
      0.0311376665093504,
      0.0265982297515066,
      0.11089404096883,
      0.0248390837275738,
      0.117688618174472,
      0.0147565796141439,
      0.0159002537651028,
      0.0990752522882906,
      0.00506461479763995,
      0.0937074346409551,
      0.00123231759215141,
      0.00157494273991495,
      0.129405480820059,
      0.0291468762658694,
      0.072199372695961,
      0.0163155008846724,
      0.0166038052591513,
      0.0700532695172857,
      0.0196870724927557,
      0.0737054835538632,
      0.0352603689887208,
      0.0712627093002799,
      0.0735247346367029,
      0.023875503576792,
      0.0968799828534311,
      0.0159752977773745,
      0.106310182846127,
      0.0143411320150081,
      0.0189067167374362,
      0.108179726285581,
      0.0136183285296521,
      0.125162607388576,
      0.0138411687461462,
      0.0224427548478421,
      0.110283451457002,
      0.0106014106543854,
      0.122954873752339,
      0.0165479473208992,
      0.0108604115350453,
      0.119834391122684,
      0.0223686056840657,
      0.108001543669797,
      0.0169690253310284,
      0.0211203283880286,
      0.114202609235252,
      0.0240977775647906,
      0.0974792065797093,
      0.0157392026905258,
      0.0201537269429253,
      0.135408848808392,
      0.030580363758898,
      0.113416157993889,
      0.0104607706819293,
      0.0311061124275381,
      0.0362612300771283,
      0.00118106593918955,
      0.0542987693579789,
      0.00147543125201084,
      0.0610846318624301,
      0.00550167996435269,
      0.00129391423267255,
      0.0948841921075796,
      0.00149239806373604,
      0.089923815935025,
      0.00290690848512042,
      0.000985709970144341,
      0.0928050060379157,
      0.000956532275977382,
      0.0947809495099994,
      0.00146687864987209,
      0.00773180396088286,
      0.0926831617333634,
      0.00227059220763397,
      0.0950434284475819,
      0.00274147538586766,
      0.0010467924165132,
      0.0992238547715727,
      0.00250467151313534,
      0.0992983448422776,
      0.00246858382572694,
      0.00796635227698507,
      0.0737877339312211,
      0.00164821371481647,
      0.0944075381172918,
      0.00126799479291538,
      0.00015053971585296,
      0.0000168600284051268,
      0.0000162866973083149,
      4.12534507535661e-7,
      2.21807992537524e-7,
      8.38124107087324e-8,
      3.05739037259163e-9
    ],
    "loudness_range_lra": 10.48,
    "true_peak_dbtp": -0.95,
    "lufs_per_section": [
      -27.15,
      -20.36,
      -15.72,
      -17.48,
      -14.31,
      -14.74,
      -17.67,
      -14.17,
      -15.8,
      -20.63,
      -15.69,
      -17.74,
      -14.25,
      -14.87,
      -17.71,
      -14.74,
      -17.05,
      -19.26,
      -16.05,
      -18.1,
      -14.38,
      -17.18,
      -24.49,
      -27.19
    ],
    "essentia_energy_curve": [
      0.09537524212238385,
      0.09084618803028889,
      0.11079215146582459,
      0.12148641910257388,
      0.0400550741072059,
      0.10354387227413096,
      0.0760915164547573,
      0.09033632950760331,
      0.08900910507909321,
      0.06633266736975879,
      0.07000881577988864,
      0.08487093500926607,
      0.08679965532632819,
      0.10318528028888045,
      0.05488371060652707,
      0.10029812983412649,
      0.09546881444368512,
      0.10755248030151923,
      0.12951528058043194,
      0.09754287123147111,
      0.09963425515185094,
      0.10224833277672983,
      0.11750090784433753,
      0.08463850077596251,
      0.11862248773357252,
      0.0841882670372587,
      0.08783453387922663,
      0.08887507370108239,
      0.05948964632707383,
      0.08982230986782148,
      0.10248901689137278,
      0.06606566222476143,
      0.11223095308861172,
      0.04998101289412244,
      0.09174790430990865,
      0.11150058144453107,
      0.10201149213601919,
      0.12007383828309723,
      0.07416313472830668,
      0.1001711775719617,
      0.12708169370600994,
      0.14580277470926606,
      0.06470606721928537,
      0.16966249116205176,
      0.13682092938223045,
      0.1569424721270902,
      0.12421149435032516,
      0.05924608138804277,
      0.1797023690365138,
      0.1447619175707334,
      0.1571162886548167,
      0.09375394530407138,
      0.043789934023458654,
      0.18898246516892425,
      0.12148744047166746,
      0.1595731164924915,
      0.06693257829643845,
      0.1142982183492954,
      0.1597743314130275,
      0.16502153382174795,
      0.18702139338252463,
      0.1294543819506352,
      0.20177179370053613,
      0.17187051242305734,
      0.17396710575523994,
      0.19624732232722572,
      0.12809517226004868,
      0.20732765274872808,
      0.17287281212724556,
      0.2042900040002121,
      0.14890312589528926,
      0.11685803315299603,
      0.19922242674779553,
      0.16310326639838985,
      0.17939931475251972,
      0.09461547899218539,
      0.08685112498467779,
      0.21550750310043806,
      0.7034884033878733,
      0.9302185512694281,
      0.563396411554485,
      0.22838776764856092,
      0.13997625073286463,
      0.6391261089354573,
      0.7078420324181521,
      0.7019619580467745,
      0.3028281992420089,
      0.31074800817650033,
      0.6989262237673304,
      0.6729246358289722,
      0.3264954219916443,
      0.21863738701031937,
      0.15243776496211467,
      0.5112076749919962,
      0.667339475689913,
      0.3229295977888056,
      0.21414409220894046,
      0.6540911024931519,
      0.7628292157006503,
      0.744378574643174,
      0.2772695569083087,
      0.20289165650529334,
      0.6638795416185133,
      0.828299455934158,
      0.6056439133957939,
      0.27978737458489367,
      0.16395085269393236,
      0.6669202014593002,
      0.5336656492491431,
      0.20155439718253118,
      0.4889234128057189,
      0.4113192665285654,
      0.20523199439003662,
      0.18916232356465876,
      0.1437498803400605,
      0.21278267851054913,
      0.5570753853744188,
      0.8767916408804155,
      0.739114850852272,
      0.28458213681706057,
      0.19728890004059219,
      0.5644064811981871,
      0.6616095019611324,
      0.7541212465412332,
      0.390627163496719,
      0.24788220058410584,
      0.5832356196486183,
      0.700244020521559,
      0.5515871918764251,
      0.2307147922597564,
      0.18892089179004917,
      0.17546085231416286,
      0.6842097886274906,
      0.5481124513775053,
      0.22334695215455844,
      0.13244638356307142,
      0.13562600844914005,
      0.18578049508868433,
      0.10600859593643977,
      0.192339383448542,
      0.1306608740646525,
      0.17683701723857842,
      0.16380593854581865,
      0.13258349422630614,
      0.18243891585306718,
      0.1560904395989521,
      0.18515207586122806,
      0.13168428442160388,
      0.09673832349192266,
      0.19158853635377218,
      0.14313569066067483,
      0.16883376480742213,
      0.09445189285387083,
      0.1626329480404413,
      0.23018025613774615,
      0.7564067828870445,
      1,
      0.4091912669782589,
      0.2131535625369242,
      0.3410588273160773,
      0.6582927400135509,
      0.7428464694952743,
      0.5901838383814354,
      0.2631650650037367,
      0.4700392879180314,
      0.7013090210202163,
      0.5962990794883184,
      0.253730386883232,
      0.20781866941014673,
      0.16300196438202408,
      0.5527351533540641,
      0.6524237267404813,
      0.256878208316222,
      0.2328962299367717,
      0.7196861836892459,
      0.7626644967365858,
      0.7095400262124264,
      0.25262845115240445,
      0.18461063723711513,
      0.7030083061076682,
      0.8605158686351138,
      0.5269931955910757,
      0.25692752821985754,
      0.3566333330159307,
      0.6825831887141993,
      0.39695327134140523,
      0.17038303196741506,
      0.539981789648501,
      0.35699044814195396,
      0.19937413593625364,
      0.14141933192340422,
      0.15402326464304647,
      0.21766655490708828,
      0.14564064396082024,
      0.15960451361737205,
      0.10530723288065363,
      0.04874083199754783,
      0.20678038445429014,
      0.1437472498632456,
      0.15800074696403935,
      0.10558955661286529,
      0.12287831224685077,
      0.164468160796995,
      0.14714641570063902,
      0.15565093164181137,
      0.09072197963666981,
      0.16168086318309974,
      0.12733807495060442,
      0.13426587141391455,
      0.15588365464583437,
      0.06586875679004862,
      0.17678186347753438,
      0.15400724198566063,
      0.18746020289023255,
      0.159337266939697,
      0.12833815031006993,
      0.22018275992714142,
      0.17580351592432064,
      0.20347331430826635,
      0.1531397951158096,
      0.12320238747078388,
      0.22179169391088013,
      0.18251231750921149,
      0.20055986187662714,
      0.12843476355721467,
      0.16200383596736823,
      0.17240417586949972,
      0.1609810319513763,
      0.1760090713962955,
      0.09091672784423534,
      0.1919563654264653,
      0.3847796113255047,
      0.838282815251503,
      0.8701215884760237,
      0.33830223517413116,
      0.2131417017096485,
      0.4861271896078136,
      0.6469636158800316,
      0.7527901878953703,
      0.4920980971362816,
      0.24023552188052197,
      0.5236273303036831,
      0.7064278780185068,
      0.5653172145614324,
      0.2162328281449896,
      0.19729353368835578,
      0.16874946822219516,
      0.5856251148194184,
      0.6372235308799904,
      0.2440704872922939,
      0.1456661781702618,
      0.7526033394506186,
      0.8453404791118235,
      0.5609620083578907,
      0.2483759422531748,
      0.3479179333859337,
      0.7596471070663882,
      0.776827105930023,
      0.47643029858861,
      0.2384463516357653,
      0.5085990739469698,
      0.6157547923168298,
      0.33326591519990306,
      0.15384973371355426,
      0.5866419358786169,
      0.29560635023909104,
      0.19891297085768764,
      0.12321243242929558,
      0.13676351865528547,
      0.18910895070475003,
      0.7069303806189848,
      0.9337537921649123,
      0.5688434838761202,
      0.2278689369449275,
      0.1366330417279811,
      0.6263725368299458,
      0.7143621056550071,
      0.7122966533517205,
      0.30343399000096627,
      0.3320038626991421,
      0.6981147029578592,
      0.6711388171515071,
      0.32052381578501904,
      0.21331405541737114,
      0.16184998069122292,
      0.5090042451681287,
      0.6662388068755655,
      0.3208685678571497,
      0.22076629261552955,
      0.13220843793121478,
      0.1850065779590471,
      0.12396038234588692,
      0.11095890996222037,
      0.19419355527823087,
      0.1513136616632457,
      0.19354000277385866,
      0.1456173460479197,
      0.1561692011308632,
      0.15302513933415984,
      0.16781889054539081,
      0.1864839608219558,
      0.13059104534108068,
      0.18652066086076072,
      0.12054589146070088,
      0.14483496447293187,
      0.170075811742393,
      0.117610036421316,
      0.23119231873269327,
      0.5698687385292572,
      0.8788410037091614,
      0.7552535079321274,
      0.27837516809791546,
      0.21734802218969976,
      0.5566987064782575,
      0.6596230272938267,
      0.7564338031021305,
      0.3823445099514144,
      0.23492913346978578,
      0.5793000386112142,
      0.6879141875715232,
      0.5469434855635867,
      0.19618096642917135,
      0.181529809099665,
      0.17450263592655757,
      0.6760500731531311,
      0.5552741998057533,
      0.2293366856165905,
      0.3994910814726027,
      0.7766804350532328,
      0.8503861335936288,
      0.40795050213683703,
      0.23947837754713378,
      0.531937046613028,
      0.7760812800709669,
      0.7013485441935965,
      0.384346813494331,
      0.23181346163977404,
      0.5794343346080492,
      0.5784826330881359,
      0.2734624084892092,
      0.11349319977747896,
      0.6034465832699839,
      0.26862807970673663,
      0.17907778307113661,
      0.15484300818022848,
      0.16072419678015784,
      0.1953614008069898,
      0.7421677214560686,
      0.992912775595087,
      0.41604312447403746,
      0.2212021572553732,
      0.34924049305199445,
      0.6622332516569381,
      0.7465583171864237,
      0.6004751707514918,
      0.260857045980438,
      0.46952339072063,
      0.7014862531597216,
      0.5994194423171259,
      0.254749168557859,
      0.18663352750675785,
      0.14892467086145444,
      0.5618765545321037,
      0.6471047535325846,
      0.24009371145676103,
      0.20132237595901345,
      0.17306850893349338,
      0.18322675622359572,
      0.13146609208852092,
      0.16949228549711107,
      0.19557292221217995,
      0.16041163050936802,
      0.19623259524601125,
      0.13249433100750407,
      0.19390349794076325,
      0.15945012700575045,
      0.18115389349326935,
      0.18218462830825757,
      0.12623380425590877,
      0.19229848071387423,
      0.14909336847591872,
      0.1702866418892338,
      0.10978583841975523,
      0.04282042419871681,
      0.1804557948109281,
      0.6437467293432836,
      0.9050141271813413,
      0.6299067150742929,
      0.22102741914737606,
      0.19715426859363477,
      0.5979312917234281,
      0.6542990038210817,
      0.7534412811847959,
      0.32550611785968026,
      0.17824798646800363,
      0.5945346968233722,
      0.7455931843891167,
      0.42851786247417323,
      0.20100215138979857,
      0.12042775521032151,
      0.40238836088921925,
      0.6792417617689352,
      0.3943010559268376,
      0.20909630888814004,
      0.5690493944073699,
      0.7573329256205072,
      0.7844885181564611,
      0.3319041767100083,
      0.2125389350661211,
      0.6001966852918474,
      0.8082800217398536,
      0.6412116338578447,
      0.3106643650640771,
      0.20638233393596842,
      0.6265286379543181,
      0.5492945153158629,
      0.20622509980850232,
      0.31148800318432707,
      0.5354660454026966,
      0.21231925036167323,
      0.16183080965371946,
      0.06749859123664874,
      0.1861460927498202,
      0.1349548240801272,
      0.12814773716302064,
      0.1381125758614224,
      0.0612322834282997,
      0.16371803470050433,
      0.12515831639833935,
      0.15056794627619174,
      0.10427646574931469,
      0.06973071579016156,
      0.18346881052964276,
      0.12646366001270953,
      0.15877435668168685,
      0.0811104064205788,
      0.044503139651836374,
      0.18582117926981673,
      0.11722230002144007,
      0.1401350152517884,
      0.0422904570753702,
      0.1222995969601784,
      0.16079164249976827,
      0.14952552633523886,
      0.16094454751928636,
      0.06032865383701064,
      0.16598005597391555,
      0.10832899446491166,
      0.13371373447940446,
      0.1585131997444683,
      0.06464527258336256,
      0.178001487912469,
      0.11612616351525706,
      0.15314952119460334,
      0.11012143961083909,
      0.045193803490101825,
      0.10896144956091441,
      0.11130131520647028,
      0.05800630408219297,
      0.024806787357396803,
      0.007516523536387211,
      0.000038137012287425523
    ]
  },
  "spatial": {
    "stereo_width": 0.1449,
    "stereo_image_motion": 0.1219,
    "height_perception": 0.0187,
    "depth_distribution": 0.599575068970942,
    "reverb_size": 0.440412098086498,
    "dry_wet_balance": 0.400424931029058,
    "analyzed_at": "2026-03-22T16:23:20.557103+00:00",
    "stereo_correlation_curve": [
      0.157375180877406,
      0.189781806744891,
      0.15088456014825,
      0.358365398164579,
      0.238868169514367,
      0.137278449415203,
      0.0644596300254553,
      0.22196693356815,
      0.311095975924997,
      0.157876242971973,
      0.253315649238213,
      0.22952542445055,
      0.2334905721493,
      0.301336631268255,
      0.228828464838385,
      0.255351715637727,
      0.266989754452401,
      0.331712269145409,
      0.494696755615079,
      0.385082384857927,
      0.126966824027482,
      0.242648750567783,
      0.137970157321138,
      0.400983483749583,
      0.274889734810269,
      0.224381833469187,
      0.105978384182646,
      0.0928528830152275,
      0.202319717634022,
      0.237175387681698,
      0.270709615723334,
      0.0695049105038747,
      0.216453003439297,
      0.289456768834207,
      0.315086136464416,
      0.265680522030482,
      0.227183136271448,
      0.458146760882276,
      0.33584420834951,
      0.426644808523614,
      0.70990837652126,
      0.760793936511469,
      0.258760303826335,
      0.847584526474199,
      0.58445493397294,
      0.694524912546163,
      0.462432380516489,
      0.301604157880073,
      0.810102549612436,
      0.722683187850091,
      0.68243786479585,
      0.298159392237832,
      0.128251609906168,
      0.846568931624404,
      0.727327016688794,
      0.810791392018491,
      0.318376212000528,
      0.928924332184839,
      0.780311793135827,
      0.723646877796706,
      0.674696053741681,
      0.661429969010477,
      0.848643015372377,
      0.565647094001759,
      0.692543727378391,
      0.659282417549951,
      0.554247667227495,
      0.819698665562876,
      0.627275094715031,
      0.747136581332783,
      0.683719720240873,
      0.564179153284863,
      0.887913208209049,
      0.898325529976765,
      0.892862884077919,
      0.897162037294937,
      0.952304595477105,
      0.994318001350151,
      0.998366887564071,
      0.999574788140409,
      0.99918533405229,
      0.995281285304393,
      0.996717388058453,
      0.999235835806131,
      0.999515586297734,
      0.999431645285878,
      0.998022928201274,
      0.997751820303507,
      0.992247907789788,
      0.993675699989765,
      0.965319616764169,
      0.94691702631069,
      0.920033508970198,
      0.98588306981514,
      0.992529797924461,
      0.969314479649227,
      0.968901425475661,
      0.999865617257477,
      0.999522646792681,
      0.999312935449188,
      0.99534638672022,
      0.99446514895214,
      0.999547303201552,
      0.999363825608237,
      0.999131827571342,
      0.996293226234896,
      0.994176252316658,
      0.993975828603804,
      0.987462033924445,
      0.909072906471598,
      0.986846704979913,
      0.999336579455652,
      0.950662875293683,
      0.911135898116376,
      0.80651692909891,
      0.950942936320576,
      0.999483739241321,
      0.999529668082419,
      0.99935698591125,
      0.996522515916146,
      0.993935126370635,
      0.999257854428639,
      0.999078139491329,
      0.999360345893683,
      0.998541928965375,
      0.943636629390718,
      0.988406163411721,
      0.99246318907559,
      0.986132802003269,
      0.931936497595856,
      0.916614921025206,
      0.894573963314832,
      0.991205434879195,
      0.993885257268468,
      0.994469803325337,
      0.993707530782377,
      0.843342409960504,
      0.919088651828137,
      0.765934883130742,
      0.981697211855216,
      0.959596410135074,
      0.891127527711411,
      0.894102383468277,
      0.882609932148527,
      0.997545922469435,
      0.945047730048394,
      0.914292047657718,
      0.852858380985444,
      0.785532390373903,
      0.917526141570312,
      0.959865636977502,
      0.868823953043978,
      0.741361342886274,
      0.810337630153411,
      0.597768139018148,
      0.978841052306075,
      0.981244561685999,
      0.950173316048849,
      0.86837772694468,
      0.88965107469897,
      0.9712834461151,
      0.982212959324122,
      0.984355429659011,
      0.901849619485328,
      0.950723070748128,
      0.990243229985489,
      0.968412807427792,
      0.859324685072682,
      0.839314423427537,
      0.571253710728208,
      0.96900978021301,
      0.972942768871831,
      0.871275559628002,
      0.747956590466964,
      0.978593570139175,
      0.97033871576758,
      0.973050733903598,
      0.869037854336816,
      0.667775476264287,
      0.977197423173529,
      0.981628295211857,
      0.963226227212505,
      0.884884709961594,
      0.927664833686353,
      0.979534328301564,
      0.93418862709448,
      0.617152895177936,
      0.981417243677188,
      0.902749588218509,
      0.757125457790975,
      0.528533184789568,
      0.598022291253592,
      0.858485110646677,
      0.728353578972571,
      0.742327123155939,
      0.574970154870921,
      0.339504821989546,
      0.802443722103283,
      0.674120734960724,
      0.634790237958681,
      0.406289513207258,
      0.893977354013348,
      0.687396978178511,
      0.804656073325143,
      0.616223192115369,
      0.347546019627509,
      0.913898661792912,
      0.657494260435579,
      0.754548058006342,
      0.805739758013035,
      0.480407832460735,
      0.888482454373152,
      0.796300896720876,
      0.676774170120562,
      0.649810575229214,
      0.747494722828003,
      0.73400668938278,
      0.697357215039306,
      0.709522800324789,
      0.512844746149261,
      0.706615173163726,
      0.742109555322518,
      0.733261156747988,
      0.744611739587735,
      0.620455066617152,
      0.753682277055037,
      0.896995427341689,
      0.892607859483737,
      0.913296115768577,
      0.894904315103647,
      0.989716269498343,
      0.998397589768111,
      0.999123724507691,
      0.999287471591014,
      0.997262319209427,
      0.996553403135211,
      0.999039112496603,
      0.999404651920921,
      0.999314880575983,
      0.998636905947775,
      0.998381068855467,
      0.999335658779786,
      0.994070103703118,
      0.989265517792745,
      0.944168507666301,
      0.976717813171592,
      0.895400042400386,
      0.993161316623233,
      0.992093680639097,
      0.942067078730205,
      0.986626099856837,
      0.999713410527014,
      0.999580338754481,
      0.999044090669419,
      0.995938439454495,
      0.998770063833946,
      0.999374605030443,
      0.999442672237019,
      0.998195384269429,
      0.997546058182078,
      0.999419978729466,
      0.991582892465622,
      0.97087811190397,
      0.881570171881721,
      0.993224172763722,
      0.9696256559068,
      0.926294636101355,
      0.776847901872235,
      0.817491535377771,
      0.889134968436954,
      0.991177941207799,
      0.998558700473712,
      0.999004713826645,
      0.993625755084155,
      0.98723663496096,
      0.999662242742215,
      0.999499957305895,
      0.999502543244477,
      0.986104692109466,
      0.96176432579228,
      0.992446119132969,
      0.991695897147202,
      0.964697891016871,
      0.935364281204522,
      0.905444130206981,
      0.987232304180916,
      0.992773825618695,
      0.970947782003983,
      0.967117070901539,
      0.911646135346635,
      0.92355787094722,
      0.806008850702495,
      0.816354709970699,
      0.996715874230958,
      0.924129067948975,
      0.894655941114326,
      0.87270935740366,
      0.948164858340756,
      0.994921735004777,
      0.909881992850092,
      0.901493608012555,
      0.871682607242368,
      0.925833404200731,
      0.828270476146382,
      0.932525659865068,
      0.878712274291465,
      0.703014580389665,
      0.773502654401633,
      0.943592491619328,
      0.97881230114651,
      0.970828430901897,
      0.944747327349933,
      0.702240937513267,
      0.965233719176417,
      0.979111038473853,
      0.982140243164917,
      0.983886933693083,
      0.828595444450656,
      0.970603473158114,
      0.986110309748104,
      0.951993178000244,
      0.909925412993174,
      0.726344111551372,
      0.64001666813576,
      0.973095504478162,
      0.966105970720151,
      0.875509623121413,
      0.890076772549407,
      0.98273467745181,
      0.97348032956704,
      0.953990639306242,
      0.781262382939346,
      0.958890865652166,
      0.983646271945713,
      0.971877090306375,
      0.964629539706673,
      0.805328138669433,
      0.96619138283065,
      0.98274925722729,
      0.823120695128451,
      0.528590789682222,
      0.978649780817783,
      0.808708468337075,
      0.726566563032274,
      0.498870829797756,
      0.783036624562335,
      0.788058303013552,
      0.986526668013392,
      0.990146397087038,
      0.948301835887319,
      0.883293934868578,
      0.897037470920769,
      0.976805833518952,
      0.97507811024493,
      0.975939766622921,
      0.889581365455256,
      0.954869220089788,
      0.981657700782681,
      0.960532055290492,
      0.874588373186765,
      0.793842248806101,
      0.726459306904187,
      0.972672560799728,
      0.986850634861012,
      0.975933584468199,
      0.856988363364433,
      0.815900809387898,
      0.629566897169381,
      0.626299967398244,
      0.869950205838081,
      0.615570174027317,
      0.679301285560077,
      0.675389364032972,
      0.522184445968293,
      0.839376886890879,
      0.549344058363503,
      0.733952374059093,
      0.730673688613374,
      0.59293335644025,
      0.879075391597905,
      0.874329312876421,
      0.894009581236675,
      0.900303821205652,
      0.992677150852774,
      0.998606751759158,
      0.99797151553146,
      0.988371233141252,
      0.988883878878322,
      0.870878485182227,
      0.822290861704312,
      0.979749930493732,
      0.98929690852333,
      0.984671195264941,
      0.9394692172657,
      0.707135508356765,
      0.978154787377442,
      0.996974216314435,
      0.972828913435932,
      0.860684251157445,
      0.77008344050989,
      0.987035314756806,
      0.99398319872992,
      0.956503103497244,
      0.901007509448996,
      0.988768012262945,
      0.976638402489714,
      0.986058198227284,
      0.974197689906584,
      0.83760458519302,
      0.977945630873179,
      0.991686185179702,
      0.977695633144484,
      0.912391901934651,
      0.759218823953199,
      0.968295642762105,
      0.948477475147435,
      0.847462771052788,
      0.944213451991404,
      0.985707279917365,
      0.776624263925001,
      0.871356281967436,
      0.36084604463798,
      0.796082307550141,
      0.468770809304724,
      0.641883420735209,
      0.574627105771644,
      0.273030908606739,
      0.779890218122676,
      0.540116756940519,
      0.689598949614932,
      0.444028454655299,
      0.323629295436437,
      0.791993383984256,
      0.658932759024639,
      0.68831289751302,
      0.32607186929338,
      0.337246584370072,
      0.663603464753933,
      0.701478819045399,
      0.790597489181764,
      0.274002502167171,
      0.755523806405122,
      0.537681070558638,
      0.681075673667022,
      0.66182473359529,
      0.0610807383121591,
      0.824693998267375,
      0.373287336218763,
      0.633640207895483,
      0.682924717768121,
      0.229715561885566,
      0.742652989141971,
      0.590091833272763,
      0.808775604509503,
      0.630159128018661,
      0.275013515910717,
      0.996015460948808,
      0.999467105524782,
      0.999417529271284,
      0.999564533409153,
      0.999315051265869,
      0.479607409412341
    ],
    "mid_energy_curve": [
      0.0948828038364379,
      0.0896614130713019,
      0.110625503584128,
      0.121183225899042,
      0.0396937770614197,
      0.102895056383427,
      0.0751617575020528,
      0.0890597827867231,
      0.0873260836548615,
      0.0658760207222958,
      0.0695405945275572,
      0.0846476528769642,
      0.0860407747696592,
      0.10292226240607,
      0.0545822084152202,
      0.0998720542296709,
      0.0952288523975011,
      0.106959717913335,
      0.12881478056989,
      0.0973366666093036,
      0.0990107978892701,
      0.101918091982574,
      0.117042869383628,
      0.0840519098207958,
      0.118350120922833,
      0.0834548114830568,
      0.087188899042534,
      0.0876967137250491,
      0.0587839434100246,
      0.0895037701609779,
      0.102177388181506,
      0.0650705388795524,
      0.111955006121819,
      0.049745420027894,
      0.091406592657104,
      0.111208346367567,
      0.101816582110006,
      0.118745031328463,
      0.0738945046961898,
      0.0999007804623291,
      0.127021506415331,
      0.142750617493304,
      0.0644728023404388,
      0.167070793911003,
      0.136664772210092,
      0.154732181416517,
      0.122658446303396,
      0.0589715280039393,
      0.173965405264256,
      0.144650119908122,
      0.150540431763444,
      0.0935731787617838,
      0.0435368500545104,
      0.183345402235798,
      0.121431335646914,
      0.152810693322885,
      0.0666659204123765,
      0.107303041569652,
      0.158102530046492,
      0.164538281782222,
      0.18042994059906,
      0.127830932199154,
      0.196227489810954,
      0.170141704192665,
      0.173731665803516,
      0.190530631850952,
      0.126729081111337,
      0.201541627728662,
      0.172391715407366,
      0.200931234724086,
      0.146224598553228,
      0.116118251837095,
      0.193419790986095,
      0.163007401613043,
      0.173636337162238,
      0.0945960434659933,
      0.0868107611426926,
      0.209996361781494,
      0.702940235188612,
      0.930287643060567,
      0.562717956417348,
      0.22238798084408,
      0.13407120787341,
      0.638608504035164,
      0.706821991072885,
      0.701708578243687,
      0.295963004800474,
      0.307618397625662,
      0.69871284664979,
      0.670811428316426,
      0.323061494096593,
      0.211852523869256,
      0.145593137732489,
      0.508655903634818,
      0.66657583638016,
      0.320449859338968,
      0.205853000700058,
      0.654221921394288,
      0.761048111804296,
      0.744240956701019,
      0.275942211773292,
      0.191220964955796,
      0.663456766992524,
      0.827521216522727,
      0.605035268182248,
      0.274246718674282,
      0.157250323258167,
      0.665809535799335,
      0.530712544705316,
      0.198986857430592,
      0.485415105011588,
      0.409890354343437,
      0.200835604909126,
      0.179209097223493,
      0.137798791515509,
      0.205504514066328,
      0.556295212516376,
      0.876369694714258,
      0.73918829490604,
      0.281026654562565,
      0.190909852541889,
      0.564178849559382,
      0.660435851542138,
      0.753924063471479,
      0.389521863470741,
      0.239192425384215,
      0.582458944751988,
      0.699029566630831,
      0.550637277669421,
      0.223103010190879,
      0.185532367759653,
      0.170708627795749,
      0.681979636856342,
      0.547884779678062,
      0.215340416284985,
      0.129644585772887,
      0.135275113814745,
      0.179931741961976,
      0.104719960945439,
      0.186260204158756,
      0.129893297868123,
      0.172804610184315,
      0.161632170871242,
      0.131795582554102,
      0.1771839336751,
      0.156180210139832,
      0.179639001142695,
      0.131410582196784,
      0.0966849912978348,
      0.186161548265368,
      0.143145011601192,
      0.162430998209765,
      0.0941468787727222,
      0.157974502548269,
      0.22795600817604,
      0.756040310546388,
      0.99999999980751,
      0.408521706397837,
      0.207615612505429,
      0.33893326110879,
      0.658287880839351,
      0.741898743314696,
      0.589279926310699,
      0.257916565317491,
      0.468863517290224,
      0.699908420119245,
      0.595860542587658,
      0.250836029410977,
      0.199084853610199,
      0.16055135891638,
      0.550079618742471,
      0.651733079449454,
      0.255586112046385,
      0.225175673131466,
      0.719325689770131,
      0.761622062793303,
      0.709290238474486,
      0.246773741416519,
      0.180869309976852,
      0.702627301391008,
      0.859497543462001,
      0.526642741710403,
      0.250368952054406,
      0.354856371063032,
      0.68273417732195,
      0.39278380391666,
      0.165762940024433,
      0.537887821247347,
      0.355210551313519,
      0.191467712251295,
      0.135990085795129,
      0.148911627122677,
      0.208728019013733,
      0.145591000833504,
      0.156824721820141,
      0.104855532127325,
      0.0482294443705917,
      0.204733724563475,
      0.143466722460398,
      0.154746150138738,
      0.105121181656794,
      0.11620012088309,
      0.162782267114656,
      0.147080075227247,
      0.149072654651527,
      0.090442471162564,
      0.155002205135183,
      0.127049917132703,
      0.134180074988792,
      0.148682548683212,
      0.065367202127506,
      0.170861122070265,
      0.15387766562996,
      0.182643179941302,
      0.155507976139139,
      0.127316169009538,
      0.214263017631858,
      0.17526468287168,
      0.198142983114146,
      0.151981734274519,
      0.121104562201523,
      0.216642332747531,
      0.182312505579645,
      0.195319694965823,
      0.12798481760925,
      0.156743720441183,
      0.170083276498281,
      0.160914287545261,
      0.170258832071905,
      0.0908326631805029,
      0.18599025214811,
      0.38394751149145,
      0.838293080496621,
      0.869440577461965,
      0.33627960545167,
      0.205982046452159,
      0.485142270338553,
      0.645382789331502,
      0.752850737833865,
      0.491000299243445,
      0.230209303618039,
      0.523497054305885,
      0.704629790863598,
      0.564452831560731,
      0.213337926812395,
      0.187722789610053,
      0.163937483310671,
      0.583451211644227,
      0.636626895937886,
      0.237570031440401,
      0.141421738815383,
      0.752374424484368,
      0.844085596954791,
      0.560404082040376,
      0.240859235275378,
      0.346207666817138,
      0.759976621891985,
      0.775529173484058,
      0.475197974277444,
      0.232789501579865,
      0.507618890938339,
      0.614007719795104,
      0.331049652748992,
      0.148279707370612,
      0.583071388605925,
      0.294574794907123,
      0.189125484523367,
      0.11597683645161,
      0.133242722097974,
      0.176425305852373,
      0.706630329878055,
      0.933708803993241,
      0.568079020063092,
      0.222823865212118,
      0.133011621492356,
      0.625518520569538,
      0.713460891628187,
      0.712398924540881,
      0.297795288117704,
      0.329905909836116,
      0.698229993528904,
      0.669223124365138,
      0.318286198921489,
      0.205892354061223,
      0.156898480689118,
      0.506636777901677,
      0.665812117288041,
      0.318675745567251,
      0.212693486840105,
      0.132090704079634,
      0.179039866297199,
      0.122824708517678,
      0.109242994478336,
      0.188517673007497,
      0.150798322485191,
      0.188273693641556,
      0.145166130817279,
      0.150897207844242,
      0.151466526495182,
      0.167844021486523,
      0.180777839227029,
      0.13032760465973,
      0.180829081777847,
      0.120595334871022,
      0.144669294632567,
      0.163733775168545,
      0.117207001869727,
      0.226082320648284,
      0.569538651143981,
      0.87857394187084,
      0.755423334745612,
      0.275806999131504,
      0.211808480803608,
      0.556457272640708,
      0.658381273364098,
      0.756047825546844,
      0.381637910912448,
      0.227377654314628,
      0.578604323182338,
      0.68658799576178,
      0.546104011402125,
      0.187961634681791,
      0.17811091758628,
      0.170018524156568,
      0.674111201913494,
      0.55486443674258,
      0.221581480747458,
      0.397805573896789,
      0.776960408189179,
      0.84934483521268,
      0.406387417585192,
      0.233630335476279,
      0.531005687089507,
      0.775079937082768,
      0.701130037941424,
      0.382602957440441,
      0.224528264447164,
      0.579335859715253,
      0.576095575091258,
      0.270708472887178,
      0.110042510213847,
      0.601113929471147,
      0.265974079966462,
      0.171059495135731,
      0.148938661046072,
      0.150980001923691,
      0.191268177515911,
      0.742775531612145,
      0.993330695051891,
      0.415895556787789,
      0.218792784547797,
      0.34865245135472,
      0.662796709013562,
      0.746525172641077,
      0.60078837506209,
      0.256200305576,
      0.469762936638664,
      0.70114248645363,
      0.59957742739323,
      0.254606924696924,
      0.180418940588851,
      0.14857821351467,
      0.560486116014817,
      0.647730108328822,
      0.240259512424121,
      0.195684086438304,
      0.172774664915323,
      0.176590879669667,
      0.129603798251329,
      0.164534266133123,
      0.192470075632696,
      0.160087451054276,
      0.190503268070666,
      0.131443668277035,
      0.187655269338783,
      0.158658955595505,
      0.180999015442733,
      0.176396708694151,
      0.125701576898258,
      0.186334321567831,
      0.148906980443006,
      0.165320731009065,
      0.107676518448219,
      0.0428029364007449,
      0.173719274657726,
      0.643824258549959,
      0.904653747040294,
      0.629528318293637,
      0.219531592273901,
      0.191111452468238,
      0.597310593477126,
      0.653765973122361,
      0.753171989761745,
      0.321251411582237,
      0.174179267261959,
      0.593866485978174,
      0.74417395272749,
      0.428065153480039,
      0.192094884932461,
      0.114327508975629,
      0.40184890229086,
      0.67737013062259,
      0.39282215336555,
      0.201704921230931,
      0.568360000767155,
      0.75618412815053,
      0.784588592583105,
      0.329910757298242,
      0.203992349690268,
      0.600198533575936,
      0.807045995433633,
      0.640665721068326,
      0.309632331698183,
      0.197754296964619,
      0.625981754376257,
      0.547071496002785,
      0.202812523301921,
      0.307112052957549,
      0.534640537920637,
      0.208962604629105,
      0.148751015500341,
      0.0610277913204398,
      0.175724747183932,
      0.131992822632858,
      0.12816441751518,
      0.134923170854469,
      0.0612104890128176,
      0.161148471595723,
      0.12513091013655,
      0.148608732447819,
      0.102899258473377,
      0.069707036011888,
      0.177858089450718,
      0.126458741877384,
      0.152533713926316,
      0.0810477883886043,
      0.0444755008604828,
      0.180071816407494,
      0.117261944554357,
      0.132602340799595,
      0.0422331982578903,
      0.115847876749132,
      0.159210447632768,
      0.149556296560629,
      0.154438780883456,
      0.0602673851388271,
      0.159909557799213,
      0.108271573107399,
      0.133694740770426,
      0.15209286736332,
      0.0646008441802652,
      0.172443904504042,
      0.116066865870238,
      0.148895162961373,
      0.106887135055879,
      0.045199945470258,
      0.109073641648408,
      0.111413976284618,
      0.0580732810816196,
      0.0248306138210314,
      0.00752099255715294,
      0.0000299767708008728
    ],
    "side_energy_curve": [
      0.707207407181074,
      0.646901846463901,
      0.830191800103954,
      0.727667862277899,
      0.271954608556754,
      0.782929806130532,
      0.615555571918989,
      0.624037992840827,
      0.555658824455773,
      0.490762993025759,
      0.469416890708013,
      0.585304393272987,
      0.605390108106533,
      0.662905316370241,
      0.377953960114832,
      0.676882633380574,
      0.6328262564345,
      0.666673513548813,
      0.655412139593186,
      0.566906669429808,
      0.761486370306328,
      0.695667499053492,
      0.891467376274479,
      0.481536885238462,
      0.77964752487416,
      0.580925763434225,
      0.684773036089389,
      0.69805693015893,
      0.420460047302165,
      0.616954255659468,
      0.676389013454968,
      0.530533626613173,
      0.785088242402111,
      0.323359727874549,
      0.576898761848522,
      0.740042308140385,
      0.705744335509682,
      0.633012530468093,
      0.455114658919849,
      0.554039605788501,
      0.461096848882373,
      0.460261089781075,
      0.432192649466179,
      0.419493100923342,
      0.616272420040873,
      0.576695701856285,
      0.651011713061858,
      0.377481761076747,
      0.495564716710158,
      0.508977699812394,
      0.571644631525035,
      0.604088695238338,
      0.334345010391009,
      0.461662466791038,
      0.422725118255047,
      0.433912458616959,
      0.418818593503109,
      0.179924087078426,
      0.485767604475229,
      0.579369554746037,
      0.694609670488137,
      0.504057190416929,
      0.493556320602491,
      0.783256819153193,
      0.647088433668365,
      0.754861992157376,
      0.593130658587585,
      0.556733752150641,
      0.722328361575196,
      0.667778004573827,
      0.556505889025485,
      0.544716884787748,
      0.41329977116013,
      0.331013843161799,
      0.362367821710117,
      0.195620806117407,
      0.138158367145328,
      0.103340507382281,
      0.190248438131877,
      0.133182692701077,
      0.0995134105922974,
      0.0946183071836769,
      0.0493747464443116,
      0.127412245393166,
      0.0976621323102084,
      0.112393611751609,
      0.0815194109764342,
      0.0989097189350883,
      0.382655437803681,
      0.332170790307572,
      0.375807925409713,
      0.307334492592729,
      0.261301506382312,
      0.381103425605153,
      0.365451646586045,
      0.349885739019545,
      0.226110636625045,
      0.0563558771046857,
      0.114740451618699,
      0.122397479395043,
      0.116782082984967,
      0.089859480079223,
      0.0897048206449757,
      0.138995645125346,
      0.113390231070384,
      0.103227671917749,
      0.0764817835047865,
      0.319943346851558,
      0.369969261657,
      0.379344188241815,
      0.346091392073312,
      0.0828711347449267,
      0.279214222498815,
      0.337576933771453,
      0.394098294278588,
      0.286498357720014,
      0.0780772403322824,
      0.119683031731242,
      0.121893509172176,
      0.102489512518149,
      0.092841563568695,
      0.104426020252562,
      0.130527113331602,
      0.124792187429643,
      0.0937248072031864,
      0.357212058356959,
      0.390380924732249,
      0.382552498538647,
      0.403148149500137,
      0.366124744737362,
      0.338025801579708,
      0.35229893979403,
      0.397725376663048,
      0.268462471500262,
      0.0990398257731121,
      0.0653136405172174,
      0.344505056347411,
      0.323083479849947,
      0.333013752338884,
      0.157200768883353,
      0.164879843888958,
      0.36241770982974,
      0.334797354395923,
      0.288182841196635,
      0.0563421367327558,
      0.230369603874303,
      0.332879120181786,
      0.323523547556749,
      0.292944635595084,
      0.340591422616719,
      0.178930521175635,
      0.376237627160711,
      0.318772808090018,
      0.447542469132243,
      0.999999998318677,
      0.687688719525107,
      0.851173559431312,
      0.570874105915999,
      0.481944132638068,
      0.71539150153196,
      0.694660529437457,
      0.616911727055295,
      0.460309819168478,
      0.511820758923313,
      0.652494514498072,
      0.436150753460439,
      0.659268400420457,
      0.603520290108929,
      0.518803091376902,
      0.732549381900025,
      0.603257915553877,
      0.669442570383104,
      0.58553469913093,
      0.746858785301116,
      0.653531986956864,
      0.81882163058802,
      0.72625846809366,
      0.570567699536597,
      0.706795023779197,
      0.659457179821012,
      0.724253172377607,
      0.630568482362893,
      0.541038943453968,
      0.60173321185523,
      0.609952381343579,
      0.634500593174927,
      0.707416918493236,
      0.457895209125077,
      0.705080475899036,
      0.622539971300321,
      0.65986492829401,
      0.654035565716143,
      0.503684485764306,
      0.504839115445639,
      0.528554010908477,
      0.478030404956115,
      0.296176934780573,
      0.600639493908151,
      0.552892272988443,
      0.640760503065142,
      0.597835048765527,
      0.241719198064065,
      0.617295799810506,
      0.424487894449218,
      0.635879171345539,
      0.555307759910281,
      0.287320118083414,
      0.505086332530574,
      0.439647149640766,
      0.426531678865218,
      0.340654683132499,
      0.362674447309128,
      0.458712647730468,
      0.701138782058375,
      0.62590236166529,
      0.425894250876016,
      0.734352056063059,
      0.648486115262059,
      0.715515204025688,
      0.753993506700143,
      0.43867318823445,
      0.729423748712926,
      0.625173675684513,
      0.654722537337009,
      0.542090947041137,
      0.517708246014689,
      0.349174277436629,
      0.33495459748985,
      0.318596680792619,
      0.196579046346039,
      0.117508490647663,
      0.0993002508394971,
      0.177907078771828,
      0.154735174622284,
      0.10875109787252,
      0.0755701117845529,
      0.100225044419192,
      0.113108596506815,
      0.140966867850721,
      0.114874911531819,
      0.058580130149273,
      0.0879468203065752,
      0.339855940828059,
      0.362484884981397,
      0.316740078605737,
      0.17905599308478,
      0.336805406015633,
      0.299334667981867,
      0.353560893132581,
      0.358448582220849,
      0.1028762628843,
      0.0801585582770754,
      0.111402026654573,
      0.110584736805345,
      0.0949436134250951,
      0.0751450214746177,
      0.134591852007164,
      0.121698779525087,
      0.126112672403833,
      0.073243956853439,
      0.0767390377161107,
      0.352417631553836,
      0.352497427491562,
      0.325024011830042,
      0.297330624949296,
      0.321472998649953,
      0.32315469490583,
      0.359099727094165,
      0.369890687085668,
      0.374523736939378,
      0.411308693401585,
      0.223366868338522,
      0.111243530877165,
      0.110070533724295,
      0.094892785792862,
      0.0714446571065312,
      0.110532421611478,
      0.108860402335491,
      0.218306011417577,
      0.403945451218574,
      0.381097287456097,
      0.379645333350598,
      0.373214025043123,
      0.32952468435692,
      0.306018955718288,
      0.357770598603957,
      0.352712043488909,
      0.337942936567454,
      0.240451043942285,
      0.248434113911592,
      0.311799338372056,
      0.356903240561857,
      0.303555772872919,
      0.0694717275999137,
      0.262077089700901,
      0.387805814617872,
      0.33143490139678,
      0.215059697835647,
      0.068709806360537,
      0.318748819201361,
      0.359576623695303,
      0.298409185426258,
      0.310387313552507,
      0.323113105814268,
      0.236422852307275,
      0.364192104663195,
      0.427740612375443,
      0.707917741348857,
      0.851375053569197,
      0.798256889591419,
      0.802996229638475,
      0.406069125523562,
      0.77390541170073,
      0.646520842783218,
      0.593136295663249,
      0.63098443591269,
      0.301183941970387,
      0.608057760213055,
      0.619011725642495,
      0.501782223264549,
      0.7487332382276,
      0.356543563817434,
      0.631708737501285,
      0.695790512571306,
      0.690453579869738,
      0.639833329386834,
      0.499201288171985,
      0.83796576588323,
      0.63436962511701,
      0.861425521038117,
      0.54545433955289,
      0.715104762283207,
      0.67200067531923,
      0.615904945341782,
      0.732126977030302,
      0.450026947596785,
      0.645400693214693,
      0.670538229989579,
      0.469879976473775,
      0.736529219952676,
      0.535453415715637,
      0.546992321696433,
      0.757330404956278,
      0.594605380215348,
      0.753597846622735,
      0.460275151153147,
      0.575185216115146,
      0.535500892419559,
      0.620254011850397,
      0.591779576819376,
      0.47577303800664,
      0.710336610516093,
      0.629021480898289,
      0.737036243591527,
      0.579641011256324,
      0.541217513484154,
      0.625585996452216,
      0.589286360887555,
      0.746670444339779,
      0.575124210429631,
      0.534802709281539,
      0.516766854378874,
      0.578284605583322,
      0.461177365113101,
      0.233127558801246,
      0.475482352804922,
      0.481680411448274,
      0.735742096287521,
      0.543002149005065,
      0.383678848890401,
      0.820081078559609,
      0.612521635162684,
      0.733588921286561,
      0.643614303936909,
      0.488084755743825,
      0.747422868672517,
      0.619310929091883,
      0.60877742687277,
      0.564800470059377,
      0.413218941758532,
      0.337144413482623,
      0.343195908158722,
      0.215429709218786,
      0.022884941766546,
      0.0401337747845881,
      0.182784996928946,
      0.607771584671868,
      0.411874499212772,
      0.503740856520942,
      0.521511737550332,
      0.528804547604635,
      0.420908789842072,
      0.579698572062267,
      0.495779927732158,
      0.630765717376944,
      0.546478408298438,
      0.260421684139578,
      0.438881634765653,
      0.459938523784771,
      0.376609924691203,
      0.285069327722213,
      0.325856169466333,
      0.512830421808832,
      0.403363767644268,
      0.373504678927754,
      0.718625491840148,
      0.577138337564223,
      0.329442477003493,
      0.530081094705736,
      0.557191733231219,
      0.457025658886885,
      0.59452727540032,
      0.578859399398484,
      0.639038940157489,
      0.694825132046833,
      0.777258469573767,
      0.509185989758163,
      0.460045784807814,
      0.396864438623786,
      0.647377051942339,
      0.34065919279303,
      0.365468745715558,
      0.517587925766359,
      0.693386926142536,
      0.523635349221145,
      0.614088992733852,
      0.404266670580136,
      0.495077047031085,
      0.599171912576228,
      0.557118952320985,
      0.557907453937969,
      0.43693508990485,
      0.529892691110225,
      0.502028062397654,
      0.572770042364178,
      0.507427159516956,
      0.275077705059804,
      0.707339126849079,
      0.430191174434743,
      0.39615886465323,
      0.278957015263122,
      0.378020571558923,
      0.762586038499942,
      0.570909118419287,
      0.609186428029249,
      0.495201563769076,
      0.433052804578265,
      0.639636344909479,
      0.564092954429426,
      0.576853602609039,
      0.446825151254054,
      0.578836287388263,
      0.51543810169371,
      0.422876097931569,
      0.449985546407745,
      0.299077335477825,
      0.0454163018767306,
      0.0230403684694253,
      0.0145442737244679,
      0.00622525117214484,
      0.00205045446620548,
      0.000157783252511367
    ],
    "stereo_width_curve": [
      0.460429911857524,
      0.452360086130978,
      0.46212582843287,
      0.407393151859889,
      0.439583442870993,
      0.465564575507937,
      0.483902846461488,
      0.445124399462792,
      0.421458671362829,
      0.460307015645596,
      0.435925997456667,
      0.441849605984047,
      0.446149228282998,
      0.424424727598863,
      0.442202238182796,
      0.436916566456719,
      0.432077350763723,
      0.416430153462525,
      0.368093409230048,
      0.400045718652226,
      0.468230311847736,
      0.438662697970832,
      0.465812184986659,
      0.396099192241617,
      0.429939259589038,
      0.443498394188494,
      0.473454205546815,
      0.476797349268457,
      0.450212330928653,
      0.441080165894234,
      0.431131642144884,
      0.48278628127152,
      0.445320929888501,
      0.426670991378901,
      0.419471245512496,
      0.432418220066931,
      0.442452772377248,
      0.379003047804549,
      0.413532141159415,
      0.388354361388208,
      0.293583719431106,
      0.269610662583055,
      0.434217154504933,
      0.223278132884163,
      0.340484595331365,
      0.299081699078295,
      0.377970929335886,
      0.422913123624007,
      0.245927442830108,
      0.287162095989509,
      0.303009480162868,
      0.42499134188713,
      0.467862409468568,
      0.223769791720285,
      0.284974117881811,
      0.245334763709349,
      0.418350227604864,
      0.161052799265415,
      0.260223553007016,
      0.28730764649342,
      0.305915234256694,
      0.311029142906006,
      0.223578802979669,
      0.345141534467134,
      0.298945880080365,
      0.312045952975342,
      0.348888066796126,
      0.240269533741593,
      0.324189822892855,
      0.275618507370383,
      0.303484485636571,
      0.34940935887475,
      0.196552340106116,
      0.188631193376262,
      0.192849996689087,
      0.191432163236459,
      0.154122928866071,
      0.053334908588186,
      0.0300542916985725,
      0.0161259905483005,
      0.0198445909706781,
      0.0464477550898413,
      0.0404566867612381,
      0.0223318304281747,
      0.0155724266003376,
      0.0180073356207504,
      0.0305700679136487,
      0.0355044874239198,
      0.0590004022475654,
      0.0536499322898339,
      0.117527211882293,
      0.142430602234617,
      0.170450958188777,
      0.0790012859489494,
      0.0590606678119889,
      0.111113957655969,
      0.111706089590099,
      0.00976581315343141,
      0.0169679161100096,
      0.0184805207522151,
      0.0462131711343997,
      0.0510536089954957,
      0.0152436275049843,
      0.0188671476420863,
      0.0210054314105099,
      0.0413131068560444,
      0.0527459713220988,
      0.0521459878550781,
      0.0739119946211711,
      0.179154200456032,
      0.0754668740900462,
      0.0226231975499487,
      0.137311581421312,
      0.177401402926591,
      0.246663345973275,
      0.137640296336901,
      0.0158143925809694,
      0.0153944397643965,
      0.0185293083272401,
      0.0400796115469718,
      0.0527399482833262,
      0.0207511125855979,
      0.0221263217164169,
      0.0185978680881547,
      0.0268087933086529,
      0.146011506241778,
      0.0712642633382717,
      0.058960316881771,
      0.0773388433281067,
      0.158163963029703,
      0.172587262426822,
      0.191116511178764,
      0.0625890406507715,
      0.053118563790132,
      0.0500212547402646,
      0.0545321529997569,
      0.225744977636563,
      0.17051802501571,
      0.266901674184416,
      0.0881115201209865,
      0.126884582398136,
      0.193619997264565,
      0.191686103782569,
      0.200215103651488,
      0.0351265661222212,
      0.144473732902757,
      0.175019347484116,
      0.219883007226386,
      0.257544944346722,
      0.173184396892863,
      0.125192189268726,
      0.209602037082047,
      0.279353444085919,
      0.244908224741697,
      0.334324345704731,
      0.0943149465662113,
      0.0887953876695856,
      0.137920520731165,
      0.209962130552444,
      0.194619759040543,
      0.107790387886824,
      0.0869243634490273,
      0.0820890997526735,
      0.185132279207376,
      0.137429890911853,
      0.0665921778798213,
      0.112428715542745,
      0.215969058027914,
      0.229789485052331,
      0.343130016155044,
      0.111549376088188,
      0.105223881803496,
      0.207785237746861,
      0.275219819925939,
      0.0942155352135399,
      0.10959567709189,
      0.104925875672541,
      0.209302713376794,
      0.309100571630262,
      0.0970270231972851,
      0.0879841654258403,
      0.120554020353911,
      0.198334264449069,
      0.162574971291392,
      0.0927914178878941,
      0.156076620511967,
      0.328223251061755,
      0.0888058704110722,
      0.185171941576262,
      0.271266790047637,
      0.3571305273696,
      0.334592817523332,
      0.216466918097532,
      0.284173047839604,
      0.278427067829816,
      0.342943855547533,
      0.412823277872107,
      0.251428350564786,
      0.306138772737244,
      0.321601031346104,
      0.394343064027207,
      0.192347118600213,
      0.302724226759003,
      0.248358311691208,
      0.328115938147026,
      0.412779937070982,
      0.175066641004249,
      0.312782187021921,
      0.272791827734762,
      0.247233772101748,
      0.373683915481584,
      0.1955033911481,
      0.254448173311991,
      0.305313380232656,
      0.315442510556589,
      0.276923049991988,
      0.281808334117151,
      0.297558714050673,
      0.292498626053463,
      0.362236518410122,
      0.293137749501911,
      0.27822436811831,
      0.28191419225873,
      0.277334984727658,
      0.326563035753977,
      0.27438371226111,
      0.190307931216077,
      0.192449719389098,
      0.176435371454002,
      0.198571285698292,
      0.0674537093741899,
      0.0287582339302381,
      0.0237207160592647,
      0.01996850496907,
      0.0357026512063852,
      0.0403095760757911,
      0.0231052821461284,
      0.0196701128114528,
      0.0209871248907963,
      0.0260867561460607,
      0.0283082074198256,
      0.0188707216906921,
      0.0523296159734474,
      0.0684869114256719,
      0.145282675795363,
      0.0984504767974198,
      0.190421552366864,
      0.0554780154248427,
      0.059781189106834,
      0.147295691232266,
      0.076880027097733,
      0.0120505527914094,
      0.0148850360842496,
      0.0220926584703499,
      0.0431806120256396,
      0.0242470974124176,
      0.019872723302484,
      0.0176486425330433,
      0.0294877439010591,
      0.0347692969483685,
      0.0170130700493107,
      0.0616595843551051,
      0.108658413191513,
      0.200608608956433,
      0.0551609960248225,
      0.111064562598346,
      0.163614971144058,
      0.261713051437123,
      0.241173153058384,
      0.195519603621769,
      0.0624761573029959,
      0.0266580941240699,
      0.0219277131740568,
      0.0535271246316615,
      0.0755096350511959,
      0.0129075491511575,
      0.0174277129204012,
      0.0171937638359385,
      0.0774290650082744,
      0.122946230918187,
      0.0588125306618047,
      0.0609867144708617,
      0.118355879562275,
      0.154858043961362,
      0.182538085774153,
      0.0747997346106178,
      0.0571811921512646,
      0.108264659694133,
      0.114596203335956,
      0.177175129651343,
      0.166235960727567,
      0.249629917206005,
      0.241348074311058,
      0.0404823190964561,
      0.165951195228455,
      0.190820816147418,
      0.207223906479059,
      0.140278743048004,
      0.0493707370487573,
      0.17859065189138,
      0.185482538713795,
      0.207694432475896,
      0.164238326057907,
      0.234740973017813,
      0.157609662356396,
      0.20296681189565,
      0.294689016848138,
      0.263886579237496,
      0.146131856866475,
      0.0942200704165664,
      0.108493561959302,
      0.144244925545433,
      0.294936797897236,
      0.117400693697069,
      0.0934979707855631,
      0.0872155611913678,
      0.0828647917083513,
      0.234399067996611,
      0.10911740955184,
      0.0772107819412504,
      0.135671048254342,
      0.178422053765597,
      0.288789252751668,
      0.31904755342888,
      0.104955227828136,
      0.116622578033489,
      0.205041987025754,
      0.194304451450457,
      0.085485140769319,
      0.104035350059475,
      0.133197128766682,
      0.259493147113004,
      0.126550715313231,
      0.0833889768807632,
      0.106782796219447,
      0.11868064043607,
      0.247605545702396,
      0.117005792084247,
      0.0854039745269594,
      0.237508648251685,
      0.357772246097067,
      0.0943498620491785,
      0.245845719781052,
      0.284671294038619,
      0.366800083475488,
      0.258722983609439,
      0.256111558677144,
      0.076245716362729,
      0.0667182825458891,
      0.140083878372508,
      0.199331504716424,
      0.189136589267517,
      0.0980044716428429,
      0.101553098159795,
      0.099470005344755,
      0.194750664047947,
      0.132293232463034,
      0.0877764031956077,
      0.124783096144861,
      0.205473643054376,
      0.253377879220391,
      0.284792220138802,
      0.105643724630646,
      0.07536995789441,
      0.09998174585117,
      0.217641249988521,
      0.241953177889921,
      0.322949578287335,
      0.324172440229227,
      0.210717401195367,
      0.327870785346718,
      0.304612341773247,
      0.305972984675946,
      0.359215139586059,
      0.22945147207219,
      0.350368597127643,
      0.281470790468132,
      0.283213641438562,
      0.339677506293886,
      0.202481185736627,
      0.205853370065376,
      0.192029039482537,
      0.186367175942251,
      0.0576807229844422,
      0.0257680031190244,
      0.0314802424022188,
      0.0714221163100496,
      0.0696845112402736,
      0.20804869697145,
      0.238046673566024,
      0.0920287330666069,
      0.0686491804862908,
      0.0809819937198402,
      0.150155057038332,
      0.293085763448723,
      0.0953103741088925,
      0.0385211110563911,
      0.105049268660202,
      0.215144429067495,
      0.273855031835529,
      0.0751158227648237,
      0.0522002826414413,
      0.130028670552672,
      0.186295889970992,
      0.0699720974906383,
      0.0981246156498033,
      0.077674509580331,
      0.102595377506636,
      0.229286211012358,
      0.0960726229988167,
      0.0608859396877081,
      0.0960387470168249,
      0.176299971146718,
      0.27005304049612,
      0.112749925121166,
      0.139902488802464,
      0.223261118427367,
      0.146392489370679,
      0.0783273401406487,
      0.261822027969169,
      0.207726414058782,
      0.40674397038232,
      0.25217740258696,
      0.375556268905156,
      0.318687094921347,
      0.342570693579268,
      0.430567198745928,
      0.260204436463063,
      0.354090823134108,
      0.300307991718906,
      0.382996018030196,
      0.417800249487923,
      0.254338628556963,
      0.312479317792357,
      0.300652030796147,
      0.417515882622158,
      0.414552127866397,
      0.310209709472615,
      0.295780157368702,
      0.254864704971791,
      0.430590473522419,
      0.271975472647601,
      0.354159520919657,
      0.304123909883688,
      0.311103159021414,
      0.484724818118313,
      0.236666641803567,
      0.403467838936701,
      0.325714223399659,
      0.302758509061661,
      0.441924879461426,
      0.277610412996728,
      0.337055699765977,
      0.24537065052737,
      0.325227305424647,
      0.431020870940827,
      0.0455012864187564,
      0.0231282966412191,
      0.0278737074356295,
      0.0279020317824803,
      0.0302679550635531,
      0.376014255370821
    ],
    "phase_coherence_curve": [
      0.109176211059093,
      0.0744878649711609,
      0.16104993224144,
      0.148056373000145,
      0.174687817692757,
      0.133093670010567,
      0.11242663115263,
      0.134973987936974,
      0.146363273262978,
      0.125611037015915,
      0.151636406779289,
      0.250736027956009,
      0.133753731846809,
      0.145564943552017,
      0.0899031534790993,
      0.175628572702408,
      0.235365524888039,
      0.299126982688904,
      0.276644080877304,
      0.175134390592575,
      0.202142149209976,
      0.183675184845924,
      0.188021406531334,
      0.240338116884232,
      0.182454496622086,
      0.169172167778015,
      0.103552430868149,
      0.15613728761673,
      0.102291740477085,
      0.136140614748001,
      0.155843466520309,
      0.135442584753036,
      0.136046171188354,
      0.182890266180038,
      0.273516446352005,
      0.180013433098793,
      0.292234838008881,
      0.316554874181747,
      0.245907291769981,
      0.268950492143631,
      0.3248051404953,
      0.912063300609589,
      0.192307591438293,
      0.887753009796143,
      0.305381089448929,
      0.77349978685379,
      0.680229365825653,
      0.206869319081306,
      0.815804779529572,
      0.230981081724167,
      0.878587603569031,
      0.174163550138474,
      0.131273671984673,
      0.812219440937042,
      0.216383054852486,
      0.871228933334351,
      0.177848115563393,
      0.924146175384521,
      0.69595992565155,
      0.633991956710815,
      0.843053698539734,
      0.55137711763382,
      0.865826368331909,
      0.51667732000351,
      0.435219913721085,
      0.74362587928772,
      0.448588490486145,
      0.780021905899048,
      0.431136757135391,
      0.83372700214386,
      0.774623870849609,
      0.465037882328033,
      0.928114175796509,
      0.631151974201202,
      0.942536115646362,
      0.724585115909576,
      0.962653875350952,
      0.98395574092865,
      0.963633716106415,
      0.970995366573334,
      0.954915940761566,
      0.975822150707245,
      0.986290991306305,
      0.959692716598511,
      0.974539577960968,
      0.955061376094818,
      0.980307698249817,
      0.953809678554535,
      0.765568792819977,
      0.891137301921844,
      0.730397760868073,
      0.941548526287079,
      0.797191202640533,
      0.914244592189789,
      0.812672555446625,
      0.829343914985657,
      0.952579021453857,
      0.985354661941528,
      0.988895237445831,
      0.94404399394989,
      0.937508165836334,
      0.98881584405899,
      0.962359309196472,
      0.973340749740601,
      0.948668241500854,
      0.974790215492249,
      0.991376638412476,
      0.808921933174133,
      0.920651257038116,
      0.779934346675873,
      0.915760576725006,
      0.956986904144287,
      0.85834813117981,
      0.906635582447052,
      0.771112084388733,
      0.926869332790375,
      0.979398846626282,
      0.977227568626404,
      0.967200815677643,
      0.948186576366425,
      0.989993751049042,
      0.961932420730591,
      0.974683940410614,
      0.954383969306946,
      0.955823719501495,
      0.925815403461456,
      0.813873648643494,
      0.890164732933044,
      0.750389158725739,
      0.860068380832672,
      0.907311856746674,
      0.819856882095337,
      0.933888256549835,
      0.869524717330933,
      0.970941960811615,
      0.982382297515869,
      0.725985586643219,
      0.923129320144653,
      0.705606341362,
      0.983757674694061,
      0.86730432510376,
      0.904706001281738,
      0.885835468769073,
      0.834622800350189,
      0.995264053344727,
      0.838583707809448,
      0.908167839050293,
      0.757975220680237,
      0.72881007194519,
      0.951891720294952,
      0.849616765975952,
      0.84831839799881,
      0.557368814945221,
      0.810012757778168,
      0.690060913562775,
      0.562999904155731,
      0.858602643013,
      0.677366137504578,
      0.876414597034454,
      0.285482674837112,
      0.483479708433151,
      0.808511555194855,
      0.62409645318985,
      0.877716779708862,
      0.446351647377014,
      0.849715709686279,
      0.754319608211517,
      0.542021870613098,
      0.865861535072327,
      0.475171029567719,
      0.854043662548065,
      0.593435227870941,
      0.596348762512207,
      0.799003422260284,
      0.602601051330566,
      0.870262622833252,
      0.591356158256531,
      0.888787150382996,
      0.628962934017181,
      0.57542210817337,
      0.790871024131775,
      0.473289281129837,
      0.83867210149765,
      0.46001610159874,
      0.59796667098999,
      0.8307244181633,
      0.528931081295013,
      0.894050002098083,
      0.46417498588562,
      0.810479342937469,
      0.699678122997284,
      0.576288282871246,
      0.880125939846039,
      0.517882823944092,
      0.901195883750916,
      0.628167808055878,
      0.572392404079437,
      0.869703650474548,
      0.60837310552597,
      0.809609949588776,
      0.496419936418533,
      0.911483347415924,
      0.642332851886749,
      0.653132081031799,
      0.847518384456635,
      0.560925841331482,
      0.869922339916229,
      0.25016850233078,
      0.638189792633057,
      0.84356290102005,
      0.544079780578613,
      0.819351255893707,
      0.490696132183075,
      0.877274572849274,
      0.765644013881683,
      0.699898183345795,
      0.849164426326752,
      0.564474999904633,
      0.804880023002625,
      0.555682122707367,
      0.644602715969086,
      0.718769192695618,
      0.521580457687378,
      0.841513991355896,
      0.623932778835297,
      0.852950930595398,
      0.909005343914032,
      0.771816730499268,
      0.933044850826263,
      0.928177356719971,
      0.967269062995911,
      0.990364372730255,
      0.971539855003357,
      0.971525967121124,
      0.950556397438049,
      0.987087965011597,
      0.882222831249237,
      0.978693664073944,
      0.962188541889191,
      0.946780800819397,
      0.992879509925842,
      0.97563636302948,
      0.923514425754547,
      0.75800347328186,
      0.746743023395538,
      0.966524958610535,
      0.813358545303345,
      0.889052033424377,
      0.780651032924652,
      0.917627513408661,
      0.980933547019958,
      0.971337378025055,
      0.974502265453339,
      0.952035427093506,
      0.974992454051971,
      0.961575984954834,
      0.960749804973602,
      0.972743093967438,
      0.93136340379715,
      0.989209353923798,
      0.973562359809875,
      0.910698056221008,
      0.884792029857635,
      0.749615907669067,
      0.872821867465973,
      0.817247152328491,
      0.89204603433609,
      0.767219483852386,
      0.716550052165985,
      0.891668438911438,
      0.813378393650055,
      0.959742367267609,
      0.938557386398315,
      0.967959463596344,
      0.989044606685638,
      0.957409501075745,
      0.973378598690033,
      0.956947863101959,
      0.953391015529633,
      0.720336079597473,
      0.743089377880096,
      0.867709636688232,
      0.676990628242493,
      0.88650918006897,
      0.843935489654541,
      0.91360068321228,
      0.883989870548248,
      0.832299113273621,
      0.976399302482605,
      0.781676352024078,
      0.935009777545929,
      0.770822107791901,
      0.84936934709549,
      0.991524815559387,
      0.836999714374542,
      0.883880198001862,
      0.816903293132782,
      0.944165885448456,
      0.989942789077759,
      0.807680904865265,
      0.899644732475281,
      0.799363017082214,
      0.90321409702301,
      0.873860895633698,
      0.773321270942688,
      0.826776921749115,
      0.566773355007172,
      0.78692227602005,
      0.483171254396439,
      0.854119062423706,
      0.791292607784271,
      0.646388649940491,
      0.839727580547333,
      0.248537048697472,
      0.826608836650848,
      0.624632716178894,
      0.669956028461456,
      0.840939342975616,
      0.591995477676392,
      0.82673591375351,
      0.539895117282867,
      0.894364833831787,
      0.736906886100769,
      0.658765852451324,
      0.855074048042297,
      0.490051329135895,
      0.900288641452789,
      0.466527163982391,
      0.771389663219452,
      0.846050143241882,
      0.655996084213257,
      0.863597810268402,
      0.348572343587875,
      0.769741356372833,
      0.657928705215454,
      0.616746187210083,
      0.810474753379822,
      0.428059846162796,
      0.873409330844879,
      0.507406890392303,
      0.562032461166382,
      0.868839263916016,
      0.559958577156067,
      0.798391759395599,
      0.521018624305725,
      0.850089967250824,
      0.86640739440918,
      0.687648177146912,
      0.887842774391174,
      0.640552699565887,
      0.84354168176651,
      0.554703891277313,
      0.466824471950531,
      0.818544864654541,
      0.511859178543091,
      0.82897287607193,
      0.465830057859421,
      0.852151989936829,
      0.762320697307587,
      0.422761350870132,
      0.813722968101501,
      0.380806654691696,
      0.880831360816956,
      0.332475006580353,
      0.447205901145935,
      0.833255529403687,
      0.623625636100769,
      0.858981966972351,
      0.480621129274368,
      0.867357134819031,
      0.774203181266785,
      0.477702438831329,
      0.791909635066986,
      0.478198796510696,
      0.836395144462585,
      0.392783641815186,
      0.331364393234253,
      0.850409388542175,
      0.478881031274796,
      0.896105766296387,
      0.636990666389465,
      0.94033008813858,
      0.942402362823486,
      0.952332735061646,
      0.995684206485748,
      0.563214480876923,
      0.769813477993011,
      0.662993431091309,
      0.587445199489594,
      0.74109560251236,
      0.532049655914307,
      0.861098766326904,
      0.422722369432449,
      0.755613148212433,
      0.579306721687317,
      0.469200819730759,
      0.909352481365204,
      0.645662486553192,
      0.852909445762634,
      0.469470709562302,
      0.747105538845062,
      0.919511079788208,
      0.470407098531723,
      0.770980894565582,
      0.389473170042038,
      0.657802641391754,
      0.656991302967072,
      0.601557672023773,
      0.761536061763763,
      0.296632140874863,
      0.854744374752045,
      0.386127531528473,
      0.445057988166809,
      0.767705976963043,
      0.349095791578293,
      0.71274346113205,
      0.481227040290833,
      0.773686707019806,
      0.655864417552948,
      0.454424947500229,
      0.742024660110474,
      0.416725039482117,
      0.728901982307434,
      0.472784012556076,
      0.246874630451202,
      0.837881147861481,
      0.156884759664536,
      0.767543137073517,
      0.131363034248352,
      0.870352745056152,
      0.806320428848267,
      0.0526010319590569,
      0.836286246776581,
      0.152909874916077,
      0.870548605918884,
      0.202506542205811,
      0.0741502642631531,
      0.804265737533569,
      0.110590167343616,
      0.876082360744476,
      0.0725365951657295,
      0.711587369441986,
      0.633013129234314,
      0.215278580784798,
      0.892801702022552,
      0.147680088877678,
      0.826812207698822,
      0.102838411927223,
      0.179429292678833,
      0.856664538383484,
      0.0815392360091209,
      0.80853807926178,
      0.183101505041122,
      0.908723294734955,
      0.866738438606262,
      0.183452129364014,
      0.737915277481079,
      0.979451775550842,
      0.99732893705368,
      0.932502210140228,
      0.821739077568054,
      0.200398936867714
    ]
  },
  "arrangement": {
    "layer_count_over_time": [
      0.881904761904762,
      0.748571428571429,
      0.660952380952381,
      0.64,
      0.750476190476191,
      0.683809523809524,
      0.84,
      0.432380952380952,
      0.424761904761905,
      0.72952380952381,
      0.497142857142857,
      0.394285714285714,
      0.55047619047619,
      0.377142857142857,
      0.579047619047619,
      0.392380952380952,
      0.56,
      0.617142857142857,
      0.531428571428571,
      0.398095238095238,
      0.573333333333333,
      0.613333333333333,
      0.558095238095238,
      0.605714285714286,
      0.561904761904762,
      0.771428571428571,
      0.660952380952381,
      0.655238095238095,
      0.641904761904762,
      0.834285714285714,
      0.438095238095238,
      0.548571428571429,
      0.535238095238095,
      0.468571428571429,
      0.36,
      0.563809523809524,
      0.655238095238095,
      0.596190476190476,
      0.592380952380952,
      0.430476190476191,
      0.426666666666667,
      0.278095238095238,
      0.55047619047619,
      0.392380952380952,
      0.516190476190476,
      0.422857142857143,
      0.424761904761905,
      0.68952380952381,
      0.512380952380952,
      0.670476190476191,
      0.474285714285714,
      0.462857142857143,
      0.676190476190476,
      0.527619047619048,
      0.788571428571428,
      0.43047619047619,
      0.424761904761905,
      0.580952380952381,
      0.487619047619048,
      0.662857142857143,
      0.36,
      0.620952380952381,
      0.685714285714286,
      0.811428571428571,
      0.735238095238095,
      0.584761904761905,
      0.725714285714286,
      0.699047619047619,
      0.68,
      0.752380952380952,
      0.542857142857143,
      0.613333333333333,
      0.577142857142857,
      0.537142857142857,
      0.598095238095238,
      0.455238095238095,
      0.584761904761905,
      0.464761904761905,
      0.379047619047619,
      0.733333333333333,
      0.232380952380952,
      0.0552380952380952,
      0.114285714285714,
      0.379047619047619,
      0.474285714285714,
      0.194285714285714,
      0.121904761904762,
      0.0647619047619048,
      0.243809523809524,
      0.527619047619048,
      0.251428571428572,
      0.144761904761905,
      0.217142857142857,
      0.710476190476191,
      0.457142857142857,
      0.685714285714286,
      0.137142857142857,
      0.140952380952381,
      0.628571428571429,
      0.264761904761905,
      0.0876190476190476,
      0.0666666666666667,
      0.133333333333333,
      0.512380952380952,
      0.358095238095238,
      0.135238095238095,
      0.0666666666666667,
      0.108571428571429,
      0.457142857142857,
      0.363809523809524,
      0.152380952380952,
      0.348571428571429,
      0.775238095238095,
      0.56,
      0.182857142857143,
      0.718095238095238,
      0.975238095238095,
      1,
      0.832380952380952,
      0.636190476190476,
      0.0628571428571429,
      0.0780952380952381,
      0.219047619047619,
      0.512380952380952,
      0.35047619047619,
      0.137142857142857,
      0.0704761904761905,
      0.148571428571429,
      0.704761904761905,
      0.493333333333333,
      0.188571428571429,
      0.144761904761905,
      0.533333333333333,
      0.811428571428572,
      0.693333333333334,
      0.443809523809524,
      0.12,
      0.060952380952381,
      0.575238095238095,
      0.434285714285714,
      0.512380952380952,
      0.483809523809524,
      0.472380952380952,
      0.638095238095238,
      0.533333333333333,
      0.651428571428571,
      0.619047619047619,
      0.638095238095238,
      0.601904761904762,
      0.373333333333333,
      0.68,
      0.499047619047619,
      0.626666666666667,
      0.415238095238095,
      0.354285714285714,
      0.944761904761905,
      0.860952380952381,
      0.973333333333333,
      0.990476190476191,
      0.154285714285714,
      0.0685714285714286,
      0.190476190476191,
      0.365714285714286,
      0.716190476190476,
      0.165714285714286,
      0.114285714285714,
      0.0514285714285714,
      0.371428571428571,
      0.489523809523809,
      0.167619047619048,
      0.123809523809524,
      0.222857142857143,
      0.493333333333333,
      0.544761904761905,
      0.540952380952381,
      0.180952380952381,
      0.165714285714286,
      0.539047619047619,
      0.472380952380952,
      0.0857142857142857,
      0.0838095238095238,
      0.161904761904762,
      0.68,
      0.510476190476191,
      0.116190476190476,
      0.08,
      0.0685714285714286,
      0.586666666666667,
      0.426666666666667,
      0.207619047619048,
      0.255238095238095,
      0.508571428571429,
      0.241904761904762,
      0.386666666666667,
      0.820952380952381,
      0.786666666666667,
      0.624761904761905,
      0.771428571428572,
      0.453333333333333,
      0.56,
      0.472380952380952,
      0.52,
      0.544761904761905,
      0.459047619047619,
      0.788571428571429,
      0.565714285714286,
      0.660952380952381,
      0.67047619047619,
      0.47047619047619,
      0.773333333333333,
      0.594285714285714,
      0.820952380952381,
      0.571428571428571,
      0.56952380952381,
      0.68,
      0.434285714285714,
      0.786666666666667,
      0.489523809523809,
      0.468571428571429,
      0.794285714285714,
      0.758095238095238,
      0.803809523809524,
      0.630476190476191,
      0.632380952380952,
      0.8,
      0.739047619047619,
      0.784761904761905,
      0.676190476190476,
      0.462857142857143,
      0.740952380952381,
      0.592380952380952,
      0.718095238095238,
      0.474285714285714,
      0.453333333333333,
      0.651428571428571,
      0.504761904761905,
      0.655238095238095,
      0.495238095238095,
      0.0723809523809524,
      0.0647619047619048,
      0.179047619047619,
      0.56,
      0.264761904761905,
      0.127619047619048,
      0.0819047619047619,
      0.099047619047619,
      0.462857142857143,
      0.251428571428572,
      0.201904761904762,
      0.184761904761905,
      0.318095238095238,
      0.647619047619048,
      0.603809523809524,
      0.506666666666667,
      0.104761904761905,
      0.278095238095238,
      0.546666666666667,
      0.196190476190476,
      0.0666666666666667,
      0.0704761904761905,
      0.24,
      0.493333333333333,
      0.182857142857143,
      0.0857142857142857,
      0.0761904761904762,
      0.180952380952381,
      0.577142857142857,
      0.205714285714286,
      0.228571428571429,
      0.443809523809524,
      0.862857142857143,
      0.161904761904762,
      0.580952380952381,
      0.977142857142857,
      0.988571428571428,
      0.889523809523809,
      0.767619047619048,
      0.16,
      0.0647619047619048,
      0.131428571428571,
      0.500952380952381,
      0.403809523809524,
      0.186666666666667,
      0.0819047619047619,
      0.0647619047619048,
      0.386666666666667,
      0.916190476190476,
      0.201904761904762,
      0.112380952380952,
      0.213333333333333,
      0.866666666666667,
      0.462857142857143,
      0.678095238095238,
      0.188571428571429,
      0.219047619047619,
      0.676190476190476,
      0.44,
      0.464761904761905,
      0.634285714285714,
      0.535238095238095,
      0.660952380952381,
      0.539047619047619,
      0.577142857142857,
      0.748571428571429,
      0.714285714285714,
      0.64952380952381,
      0.476190476190476,
      0.491428571428572,
      0.660952380952381,
      0.588571428571429,
      0.563809523809524,
      0.346666666666667,
      0.666666666666667,
      0.921904761904762,
      0.956190476190476,
      0.975238095238095,
      0.582857142857143,
      0.108571428571429,
      0.161904761904762,
      0.135238095238095,
      0.68,
      0.436190476190476,
      0.135238095238095,
      0.0780952380952381,
      0.0495238095238095,
      0.638095238095238,
      0.285714285714286,
      0.131428571428571,
      0.182857142857143,
      0.226666666666667,
      0.588571428571429,
      0.674285714285714,
      0.323809523809524,
      0.142857142857143,
      0.226666666666667,
      0.704761904761905,
      0.2,
      0.0857142857142857,
      0.104761904761905,
      0.380952380952381,
      0.773333333333333,
      0.184761904761905,
      0.0819047619047619,
      0.0857142857142857,
      0.302857142857143,
      0.643809523809524,
      0.211428571428571,
      0.222857142857143,
      0.420952380952381,
      0.371428571428571,
      0.222857142857143,
      0.645714285714286,
      0.822857142857143,
      0.742857142857143,
      0.691428571428571,
      0.59047619047619,
      0.102857142857143,
      0.0819047619047619,
      0.230476190476191,
      0.645714285714286,
      0.611428571428571,
      0.171428571428571,
      0.114285714285714,
      0.154285714285714,
      0.603809523809524,
      0.546666666666667,
      0.192380952380952,
      0.213333333333333,
      0.318095238095238,
      0.700952380952381,
      0.64,
      0.327619047619048,
      0.154285714285714,
      0.11047619047619,
      0.615238095238095,
      0.441904761904762,
      0.601904761904762,
      0.683809523809524,
      0.807619047619047,
      0.733333333333333,
      0.55047619047619,
      0.721904761904762,
      0.704761904761905,
      0.685714285714286,
      0.731428571428572,
      0.497142857142857,
      0.598095238095238,
      0.575238095238095,
      0.537142857142857,
      0.573333333333333,
      0.422857142857143,
      0.579047619047619,
      0.403809523809524,
      0.323809523809524,
      0.853333333333333,
      0.203809523809524,
      0.060952380952381,
      0.08,
      0.266666666666667,
      0.731428571428571,
      0.24,
      0.0895238095238095,
      0.0571428571428571,
      0.196190476190476,
      0.660952380952381,
      0.217142857142857,
      0.0971428571428572,
      0.106666666666667,
      0.434285714285714,
      0.411428571428571,
      0.483809523809524,
      0.123809523809524,
      0.0704761904761905,
      0.40952380952381,
      0.401904761904762,
      0.0971428571428571,
      0.0571428571428571,
      0.0761904761904762,
      0.403809523809524,
      0.546666666666667,
      0.121904761904762,
      0.0647619047619048,
      0.0761904761904762,
      0.436190476190476,
      0.540952380952381,
      0.167619047619048,
      0.247619047619048,
      0.390476190476191,
      0.382857142857143,
      0.190476190476191,
      0.622857142857143,
      0.700952380952381,
      0.60952380952381,
      0.788571428571429,
      0.708571428571429,
      0.438095238095238,
      0.52952380952381,
      0.430476190476191,
      0.731428571428572,
      0.521904761904762,
      0.508571428571429,
      0.472380952380952,
      0.348571428571429,
      0.628571428571429,
      0.508571428571428,
      0.506666666666667,
      0.350476190476191,
      0.455238095238095,
      0.699047619047619,
      0.472380952380952,
      0.586666666666667,
      0.346666666666667,
      0.525714285714286,
      0.750476190476191,
      0.413333333333333,
      0.575238095238095,
      0.401904761904762,
      0.481904761904762,
      0.80952380952381,
      0.390476190476191,
      0.685714285714286,
      0.396190476190476,
      0.398095238095238,
      0.634285714285714,
      0.337142857142857,
      0.571428571428571,
      0.300952380952381,
      0.274285714285714,
      0.20952380952381,
      0.253333333333333,
      0.24,
      0.224761904761905,
      0.56,
      1
    ],
    "layer_count_mean": 0.452730378856396,
    "layer_count_peak": 1,
    "minimalism_maximalism_score": 0.623884834752182,
    "drums_presence": 0.129990565094267,
    "bass_presence": 1,
    "harmonic_presence": 0.870009434905733,
    "melodic_presence": 0.140049463612096,
    "fx_presence": 0.00465854749899949,
    "analyzed_at": "2026-03-22T16:23:20.675759+00:00",
    "intro_end_seconds": 0.23,
    "outro_start_seconds": 228.97,
    "fade_out": true,
    "vocal_energy_ratio": 0.0881,
    "is_instrumental_estimate": true,
    "silence_map": [
      {
        "end": 231.04,
        "start": 229.74,
        "duration": 1.3
      }
    ],
    "silence_count": 1,
    "total_silence_seconds": 1.3,
    "self_similarity_matrix": [
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.279934824501604,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.263581761292881,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4475698266021,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.279934824501604,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.191649916722165,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.620343661719163,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.620343661719163,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.488339364626969,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.549488919511649,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.214061224316389,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.368195211474196,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.379846198122493,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.43968910262152,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.585988609622498,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.327339963118813,
      0,
      0,
      0,
      0.294684932990894,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.303864972572438,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.696971137796521,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.55734447275159,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.55734447275159,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.470873662730995,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.687883429569969,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.663489235991921,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.609127803404239,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.731793892812073,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.715186339843107,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.752548777649848,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.785097208752662,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.752548777649848,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.765504329465284,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.488339364626969,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.379846198122493,
      0.43968910262152,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.389582716764543,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.214061224316389,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.237266060186846,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.852947291637086,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.737444700131597,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.745638517891846,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.814100116573938,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.749818675488571,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.609127803404239,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.852947291637086,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.724985164934041,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.438422068916859,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.308248856297901,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.734706857775503,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.327339963118813,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.278857029995864,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.298640940985956,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.549488919511649,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.377922551676742,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.294684932990894,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.470873662730995,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.715186339843107,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.814100116573938,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.792342411001191,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.691827340968611,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.438422068916859,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.691827340968611,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.681587495377538,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.745638517891846,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.754795461153184,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.282005976857915,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.278857029995864,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.4475698266021,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.734706857775503,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.754423665072275,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.754423665072275,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.731793892812073,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.687883429569969,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.738229392264217,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.737444700131597,
      0,
      0,
      0,
      0.724985164934041,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.675711419842338,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.718610360298076,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.368195211474196,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.237266060186846,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.585988609622498,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.389582716764543,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.377922551676742,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.681587495377538,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.675711419842338,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.718610360298076,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.749818675488571,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.792342411001191,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.696971137796521,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.785097208752662,
      0.765504329465284,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.754795461153184,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.298640940985956,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.282005976857915,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.263581761292881,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.308248856297901,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.663489235991921,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.738229392264217,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.191649916722165,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0.303864972572438,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0
    ],
    "novelty_curve": [
      0.0739938765940128,
      0.113579153491756,
      0.0901165304416879,
      0.102596231618509,
      0.0931385649324733,
      0.0970329668066487,
      0.10697587922603,
      0.0854019473554589,
      0.0875169707713047,
      0.0962310162241391,
      0.111523863181826,
      0.179424857479453,
      0.152864771865439,
      0.142207102323936,
      0.154625241192784,
      0.101438990485786,
      0.185232358295742,
      0.114479773157984,
      0.148714693454861,
      0.137737539912818,
      0.146847100562864,
      0.101799518065354,
      0.128666248665671,
      0.106517986719386,
      0.108196957811593,
      0.111078782124916,
      0.113083667960344,
      0.0827379327154396,
      0.0861648926942011,
      0.116466049676096,
      0.128487104341237,
      0.165762615207288,
      0.147516459715763,
      0.173940048637775,
      0.10735233209658,
      0.133341211452364,
      0.145190704679285,
      0.112849777751284,
      0.161252382658502,
      0.0960018446648035,
      0.172090872929737,
      0.066007047376353,
      0.103779522296659,
      0.0951183923060708,
      0.107683409244684,
      0.0751962244624025,
      0.0528840260437494,
      0.0913513628405233,
      0.0937612566018637,
      0.0743513864552086,
      0.070296698293823,
      0.0533152874957367,
      0.0935454409787401,
      0.0776782316441785,
      0.0686359881785102,
      0.0717617555384633,
      0.0469223012064031,
      0.115700908261484,
      0.113439556243188,
      0.0753968718083328,
      0.0931268835993533,
      0.0769926020626226,
      0.0492938969668655,
      0.089342786825874,
      0.09294066819102,
      0.0858995065292972,
      0.0812925392259125,
      0.0598348520095769,
      0.0688137348913246,
      0.0904658739854887,
      0.0609829332616787,
      0.0769871459571649,
      0.0664359452672077,
      0.0882865688131036,
      0.092200707657192,
      0.0729039564434143,
      0.0880125798647703,
      0.112363543892485,
      0.129094186432015,
      0.0873604408540148,
      0.0122665982496374,
      0.0495439403514707,
      0.0489115112148017,
      0.0983208930082043,
      0.0976053203179731,
      0.0152716905858656,
      0.0348232124132135,
      0.0147547905207136,
      0.0757077967220852,
      0.102918154768033,
      0.0147343987900575,
      0.0295174935020874,
      0.0152994081929157,
      0.0875753818751022,
      0.0715396650137874,
      0.0554666478204222,
      0.0186622572342915,
      0.0109577763985116,
      0.0960279904792347,
      0.0659938451299293,
      0.0514479073779329,
      0.0457504739745577,
      0.0278656228193938,
      0.124410015382335,
      0.0673519088918387,
      0.0306486462442637,
      0.0441049073349621,
      0.0321215199556842,
      0.111110945547944,
      0.0578910781654452,
      0.0363731637291109,
      0.0250320838628727,
      0.0961353154882444,
      0.0104982343099472,
      0.0293530267305332,
      0.0883152287072445,
      0.103056692345607,
      0.101974015334355,
      0.0861274277273045,
      0.035562639146345,
      0.0402732456172664,
      0.0605650245245341,
      0.0550075462832493,
      0.110196119494237,
      0.0341422269117082,
      0.0321563932778691,
      0.0220588369440926,
      0.0404994050541319,
      0.118258723581366,
      0.0200923740798998,
      0.0188417387071698,
      0.0312467912841467,
      0.0477980126085424,
      0.0941287206103667,
      0.0700646660934867,
      0.0102298341374921,
      0.0195833028303739,
      0.0350431908817708,
      0.130750249020968,
      0.0967018639405336,
      0.0900878019080342,
      0.0514382052642769,
      0.135022093893069,
      0.119115677137321,
      0.106496503703585,
      0.0930422105164903,
      0.0736397271625918,
      0.123910953084596,
      0.106255423070159,
      0.0999319064130311,
      0.0796550014092784,
      0.0949964576110599,
      0.0995632047680472,
      0.0407693258637268,
      0.0750962250270315,
      0.0733201795418401,
      0.109529579900721,
      0.109888797340464,
      0.0508326974088164,
      0.0377455185996382,
      0.0537165989346684,
      0.0143875817356227,
      0.0934427625702067,
      0.0553417989847058,
      0.0307524234385852,
      0.0242963256586205,
      0.00411216144293739,
      0.0916096327794125,
      0.0562948298371623,
      0.0173921562008336,
      0.0293626368401831,
      0.0146258565766443,
      0.0924365966765271,
      0.0653026550891307,
      0.0303235984878984,
      0.0185649631879067,
      0.0182490792211702,
      0.0940971536920437,
      0.0672616402935903,
      0.0501593068595306,
      0.0440285415048488,
      0.03359695539429,
      0.0901236769704725,
      0.0410909223415604,
      0.0357703308072629,
      0.0453428841722296,
      0.0116846788259141,
      0.117677159673036,
      0.030900826125666,
      0.0365787022885687,
      0.0295393535783925,
      0.104469898994662,
      0.00277238993028886,
      0.047027081604802,
      0.0911910844859015,
      0.0941197671934182,
      0.0947326113150352,
      0.0812531124685656,
      0.100506923250515,
      0.107098552795854,
      0.0788291464077994,
      0.09257365736903,
      0.11086438265062,
      0.0637635394844057,
      0.0974430777079551,
      0.0845499749518908,
      0.0681071046394877,
      0.0826511954254401,
      0.0664428084226295,
      0.106938595698962,
      0.0767292913945632,
      0.0635401540031561,
      0.0499625057041875,
      0.0780440718026148,
      0.0884478984134367,
      0.100794535222153,
      0.11199614423098,
      0.0504614817592654,
      0.0939044686518401,
      0.0815544596874912,
      0.0824936116781615,
      0.0962579599331231,
      0.078521163958903,
      0.0651975170127993,
      0.0697415895579386,
      0.0720257962670838,
      0.105040733980207,
      0.0432591153168421,
      0.0512492676832974,
      0.113159380853574,
      0.0738900768299898,
      0.118323309993988,
      0.0553148135428903,
      0.07048601868985,
      0.120172949014351,
      0.125683419676979,
      0.135590440929746,
      0.0366881522982339,
      0.0413405972589008,
      0.0597284218158441,
      0.0378068302763512,
      0.102380002967822,
      0.0487649194103066,
      0.032083995536504,
      0.0239648399323714,
      0.0298364536760574,
      0.106807448150456,
      0.0414109412591742,
      0.019278470722025,
      0.0284663510085644,
      0.0264816466743941,
      0.0939564656778509,
      0.110127486639286,
      0.00997129874504352,
      0.0194304875185808,
      0.0530119648632133,
      0.0819727809647343,
      0.0460457916184717,
      0.0550295178449166,
      0.0448118743099494,
      0.068639158952186,
      0.110626411649008,
      0.0200278488972567,
      0.0376614014555954,
      0.0442971895236189,
      0.0619368521275405,
      0.122548418151572,
      0.00410255269713461,
      0.0326353977363387,
      0.0544818422563488,
      0.0850208590187229,
      0.000674094278692571,
      0.0628605969325017,
      0.13515217358661,
      0.114193360792241,
      0.103975450224804,
      0.0791435126259485,
      0.0316005447619898,
      0.0517586244722514,
      0.0333684057260424,
      0.117129432440502,
      0.0685801461114954,
      0.0281630631677233,
      0.0273851580610865,
      0.0143873630129571,
      0.108718173743702,
      0.0605060769619737,
      0.0159042410173353,
      0.0321810328562926,
      0.0118124435975189,
      0.0898756927853685,
      0.0786946978280476,
      0.0357860072751707,
      0.0204689019515454,
      0.00506267974704619,
      0.0928489863386686,
      0.0862722699143427,
      0.0711839079674023,
      0.0820921523159706,
      0.0990083028137604,
      0.135623228785144,
      0.121153870531582,
      0.0862457554791132,
      0.0810002937689484,
      0.110881899292277,
      0.133667714712737,
      0.113933941061892,
      0.0704902293065479,
      0.0944072954014197,
      0.0837687666010799,
      0.0908042658968403,
      0.05741346375406,
      0.085592775981651,
      0.070961483454061,
      0.103465837889664,
      0.102886975045709,
      0.0213757520577622,
      0.0386120028024544,
      0.0580382132895429,
      0.0272794301488257,
      0.1183525915842,
      0.0100440202805849,
      0.0306506798537349,
      0.0235486888685925,
      0.0110566020682539,
      0.137326914732486,
      0.00545029080653472,
      0.0199508182208691,
      0.0266848212677456,
      0.0390674502106062,
      0.0847556146010203,
      0.0740727605695845,
      0.0075649253922232,
      0.0163893432232621,
      0.0446707040365735,
      0.116602078512938,
      0.029130595279602,
      0.0566060525640299,
      0.023665639780421,
      0.0721142667170624,
      0.0843367995553613,
      0.0270602480921578,
      0.0431468360921218,
      0.0142146792526136,
      0.0869592058545285,
      0.0707588893887033,
      0.0261434129649747,
      0.0169502241610864,
      0.0703328663174296,
      0.0632580545145535,
      0.00686727028444519,
      0.0719556184076936,
      0.0956261767556401,
      0.109858362454228,
      0.100597070605534,
      0.0403868848709886,
      0.0388460317563795,
      0.0544033359310669,
      0.0189073020311306,
      0.094547283942291,
      0.0396582164681307,
      0.0299767358925104,
      0.0228729775374698,
      0.0188840788767033,
      0.0757166356854089,
      0.0499810782804277,
      0.0173286505150301,
      0.0296319665890847,
      0.013343273462753,
      0.0788765089776424,
      0.0860258170350049,
      0.0194886529725435,
      0.0193652503384251,
      0.0357776981666672,
      0.111281715407236,
      0.0965408174677204,
      0.0741677085363609,
      0.0520620975102161,
      0.0894889255126277,
      0.09062678160699,
      0.0868766227949526,
      0.0804878866770187,
      0.0599444391777911,
      0.0686329806600732,
      0.0886315143711505,
      0.0605293254821473,
      0.0799581701688746,
      0.0671156738328458,
      0.0890391365262306,
      0.0882449924566412,
      0.072947266408957,
      0.0935085092174991,
      0.0621481407227339,
      0.121309185980211,
      0.142085555026755,
      0.0110922551636916,
      0.0528350829836156,
      0.0415306797859427,
      0.0802206446363999,
      0.0992718663691184,
      0.0139075851256091,
      0.034877905878451,
      0.00849820050690787,
      0.0699986152132217,
      0.105950059720747,
      0.0131179948024271,
      0.0316838323128016,
      0.00642378591335785,
      0.1003840743241,
      0.0474807562102239,
      0.0452058157458456,
      0.0208408232160467,
      0.00328919414190259,
      0.0965590806016759,
      0.0572201399132515,
      0.0484842593354075,
      0.0454138472197838,
      0.00469768428010245,
      0.129291841182004,
      0.0696558618176047,
      0.0346513146015735,
      0.0438200534673845,
      0.0241952694886519,
      0.116859776563951,
      0.0578504927039726,
      0.0359312798334438,
      0.0175708112660562,
      0.0920499677775147,
      0.0152006950646131,
      0.0213688065236453,
      0.0533851725056798,
      0.115651003283899,
      0.0679897144764311,
      0.0834976134150318,
      0.0689688136913618,
      0.0816169168603096,
      0.0815460098479345,
      0.092441301559946,
      0.0734291698565304,
      0.0683677337600902,
      0.0862647890885716,
      0.0546521524888445,
      0.070584079274699,
      0.0627772058014326,
      0.0780743413795102,
      0.0703628264390456,
      0.0528402873588637,
      0.0772395214616277,
      0.0699430896892241,
      0.0725331762793472,
      0.085745994885326,
      0.0771877713708078,
      0.0853088142582339,
      0.0779422672182952,
      0.0866436597302798,
      0.0842846282128784,
      0.0815816596091188,
      0.082244696894982,
      0.0834607018530014,
      0.0548517575646741,
      0.0805839296487511,
      0.0639919549353264,
      0.102004027674866,
      0.081095771798885,
      0.0585786005043852,
      0.0738636604180628,
      0.0701473147762921,
      0.0717871837554504,
      0.0540785371755673,
      0.0522586911070873,
      0.0130778741656021,
      0.0241913976256833,
      0.0763105446627935,
      0.0526792996998733
    ],
    "repetition_pairs": [
      {
        "segment_a": 34,
        "segment_b": 38,
        "similarity": 0.8529472916370863
      },
      {
        "segment_a": 36,
        "segment_b": 54,
        "similarity": 0.814100116573938
      },
      {
        "segment_a": 54,
        "segment_b": 86,
        "similarity": 0.7923424110011913
      },
      {
        "segment_a": 28,
        "segment_b": 91,
        "similarity": 0.7850972087526615
      },
      {
        "segment_a": 29,
        "segment_b": 91,
        "similarity": 0.7655043294652837
      },
      {
        "segment_a": 61,
        "segment_b": 91,
        "similarity": 0.7547954611531839
      },
      {
        "segment_a": 36,
        "segment_b": 86,
        "similarity": 0.7498186754885712
      },
      {
        "segment_a": 35,
        "segment_b": 60,
        "similarity": 0.7456385178918461
      },
      {
        "segment_a": 73,
        "segment_b": 96,
        "similarity": 0.7382293922642166
      },
      {
        "segment_a": 34,
        "segment_b": 76,
        "similarity": 0.7374447001315966
      },
      {
        "segment_a": 41,
        "segment_b": 70,
        "similarity": 0.7347068577755034
      },
      {
        "segment_a": 26,
        "segment_b": 72,
        "similarity": 0.7317938928120734
      },
      {
        "segment_a": 38,
        "segment_b": 76,
        "similarity": 0.7249851649340414
      },
      {
        "segment_a": 77,
        "segment_b": 85,
        "similarity": 0.7186103602980757
      },
      {
        "segment_a": 27,
        "segment_b": 52,
        "similarity": 0.7151863398431065
      }
    ],
    "vocal_activity_map": [
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      1,
      0,
      1,
      0,
      1,
      0,
      1,
      1,
      1,
      1,
      1,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      0,
      1,
      0,
      0,
      0,
      0,
      1,
      1,
      1,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      1,
      0,
      1,
      1,
      0,
      0,
      0,
      0,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      1,
      0,
      0,
      1,
      0,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      0,
      1,
      1,
      0,
      1,
      1,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      1,
      0,
      1,
      1,
      0,
      1,
      0,
      1,
      1,
      1,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      0,
      0,
      1,
      1,
      1,
      0,
      0,
      0,
      0,
      1,
      1,
      1,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      0,
      0,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      1,
      1,
      0,
      1,
      0,
      0,
      0,
      0,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      0,
      0,
      0,
      1,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      0,
      0,
      1,
      0,
      0,
      1,
      0,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      0,
      0,
      0,
      0,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      0,
      1,
      1,
      0,
      1,
      0,
      1,
      1,
      1,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      0,
      1,
      1,
      1,
      0,
      0,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      1,
      1,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0,
      0
    ]
  },
  "stems": {
    "stems_available": true,
    "separation_model": "htdemucs_ft",
    "separation_time_seconds": 8.17,
    "stem_separation_quality": 0.7837,
    "vocal_rms": 0.049243,
    "vocal_prominence": 0.3035,
    "vocal_pitch_mean": 0,
    "vocal_pitch_std": 0,
    "vocal_range_low_hz": 0,
    "vocal_range_high_hz": 0,
    "vocal_range_low_midi": 0,
    "vocal_range_high_midi": 0,
    "vocal_range_semitones": 0,
    "vocal_vibrato_rate": 0,
    "vocal_vibrato_depth": 0,
    "vocal_breathiness": 0.5122,
    "vocal_voiced_ratio": 0,
    "vocal_effort_curve": [
      0.5869,
      0.5588,
      0.6819,
      0.7476,
      0.2468,
      0.6367,
      0.468,
      0.556,
      0.5478,
      0.4078,
      0.4309,
      0.5222,
      0.5337,
      0.6342,
      0.3381,
      0.6175,
      0.5875,
      0.661,
      0.7961,
      0.5995,
      0.6127,
      0.629,
      0.7233,
      0.521,
      0.7303,
      0.5179,
      0.5408,
      0.5472,
      0.3661,
      0.5524,
      0.6303,
      0.4067,
      0.6901,
      0.3075,
      0.5644,
      0.686,
      0.627,
      0.7386,
      0.4562,
      0.5609,
      0.5205,
      0.5315,
      0.3842,
      0.5707,
      0.687,
      0.6629,
      0.6288,
      0.3533,
      0.5285,
      0.6495,
      0.4877,
      0.5498,
      0.2568,
      0.5418,
      0.4387,
      0.527,
      0.3984,
      0.1665,
      0.5981,
      0.8747,
      0.7741,
      0.7512,
      0.7775,
      0.8928,
      0.9384,
      0.7217,
      0.6951,
      0.7702,
      0.739,
      0.8168,
      0.6605,
      0.6284,
      0.5687,
      0.5994,
      0.6251,
      0.4536,
      0.3185,
      0.5498,
      0.539,
      0.4893,
      0.535,
      0.63,
      0.2482,
      0.6231,
      0.5456,
      0.5601,
      0.6339,
      0.3246,
      0.761,
      0.6549,
      0.7716,
      0.643,
      0.6603,
      0.6984,
      0.6862,
      0.7106,
      0.4651,
      0.0261,
      0.5018,
      0.5311,
      0.5921,
      0.3659,
      0.3612,
      0.5444,
      0.4854,
      0.5505,
      0.3792,
      0.7304,
      0.6301,
      0.781,
      0.7264,
      0.1893,
      0.6685,
      0.6756,
      0.7751,
      0.6315,
      0.6026,
      0.5371,
      0.5963,
      0.574,
      0.4552,
      0.5661,
      0.5527,
      0.5351,
      0.5649,
      0.7614,
      0.7684,
      0.6938,
      0.7605,
      0.8014,
      0.7776,
      0.7429,
      0.7583,
      0.4917,
      0.4537,
      0.507,
      0.5495,
      0.6536,
      0.6106,
      0.693,
      0.5587,
      0.7152,
      0.8225,
      0.7719,
      0.4362,
      0.6418,
      0.6493,
      0.7052,
      0.58,
      0.489,
      0.4953,
      0.5664,
      0.5516,
      0.6975,
      1,
      0.8111,
      0.9405,
      0.639,
      0.3808,
      0.7149,
      0.52,
      0.5905,
      0.3866,
      0.4492,
      0.5529,
      0.4368,
      0.5854,
      0.5348,
      0.5707,
      0.6888,
      0.5591,
      0.7884,
      0.6096,
      0.7344,
      0.5005,
      0.7117,
      0.5596,
      0.574,
      0.6775,
      0.5607,
      0.5879,
      0.5064,
      0.4038,
      0.5948,
      0.4476,
      0.4414,
      0.6393,
      0.3879,
      0.6398,
      0.5677,
      0.6167,
      0.7361,
      0.5506,
      0.5474,
      0.5155,
      0.5721,
      0.2298,
      0.8505,
      0.5867,
      0.6036,
      0.588,
      0.2215,
      0.6444,
      0.5205,
      0.4716,
      0.486,
      0.3505,
      0.5339,
      0.5406,
      0.4732,
      0.3134,
      0.426,
      0.7956,
      0.8761,
      0.7744,
      0.7092,
      0.8582,
      0.9141,
      0.8336,
      0.753,
      0.7105,
      0.8968,
      0.8088,
      0.8136,
      0.7034,
      0.6177,
      0.6981,
      0.6768,
      0.6391,
      0.276,
      0.4294,
      0.5425,
      0.5475,
      0.5723,
      0.5746,
      0.5954,
      0.0259,
      0.4822,
      0.5034,
      0.6335,
      0.506,
      0.1448,
      0.682,
      0.6647,
      0.6288,
      0.4057,
      0.7182,
      0.5923,
      0.6295,
      0.6362,
      0.1005,
      0.4544,
      0.5256,
      0.611,
      0.5813,
      0.0082,
      0.3009,
      0.5903,
      0.622,
      0.5381,
      0.1354,
      0.6973,
      0.6385,
      0.6178,
      0.5525,
      0.6337,
      0.597,
      0.6145,
      0.791,
      0.5478,
      0.4588,
      0.6639,
      0.6409,
      0.6147,
      0.1332,
      0.4454,
      0.4682,
      0.5931,
      0.596,
      0.709,
      0.6756,
      0.6938,
      0.6864,
      0.6364,
      0.6817,
      0.6634,
      0.5623,
      0.5188,
      0.6099,
      0.5419,
      0.578,
      0.6421,
      0.6286,
      0.6363,
      0.6067,
      0.7542,
      0.8294,
      0.6086,
      0.4835,
      0.6614,
      0.6301,
      0.7155,
      0.5574,
      0.504,
      0.4565,
      0.5833,
      0.6623,
      0.7808,
      0.9096,
      0.9102,
      0.9404,
      0.391,
      0.6759,
      0.4878,
      0.4797,
      0.5526,
      0.2645,
      0.5049,
      0.5567,
      0.4194,
      0.7016,
      0.2796,
      0.6918,
      0.6209,
      0.6586,
      0.7812,
      0.4848,
      0.7351,
      0.5948,
      0.692,
      0.4726,
      0.71,
      0.6586,
      0.4871,
      0.5725,
      0.3585,
      0.5469,
      0.6062,
      0.2888,
      0.6179,
      0.4576,
      0.4805,
      0.7272,
      0.4989,
      0.8169,
      0.5166,
      0.6953,
      0.7669,
      0.7815,
      0.8146,
      0.7735,
      0.9546,
      0.8021,
      0.7573,
      0.7585,
      0.7658,
      0.8608,
      0.8338,
      0.6473,
      0.6155,
      0.6536,
      0.8642,
      0.8415,
      0.6352,
      0.3816,
      0.8325,
      0.9941,
      0.742,
      0.7609,
      0.7155,
      0.9483,
      0.8526,
      0.7799,
      0.7197,
      0.8072,
      0.8293,
      0.8123,
      0.6955,
      0.6756,
      0.5927,
      0.6722,
      0.7049,
      0.4497,
      0.2302,
      0.5325,
      0.4975,
      0.4455,
      0.2474,
      0.3594,
      0.321,
      0.3318,
      0.2969,
      0.3944,
      0.3545,
      0.4005,
      0.3924,
      0.1126,
      0.2703,
      0.3243,
      0.1982,
      0.115,
      0.1918,
      0.4009,
      0.2501,
      0.2366,
      0.4842,
      0.3549,
      0.1905,
      0.4835,
      0.3583,
      0.2513,
      0.3969,
      0.4287,
      0.3684,
      0.4281,
      0.4785,
      0.3415,
      0.3598,
      0.2033,
      0.4423,
      0.2615,
      0.2442,
      0.3432,
      0.455,
      0.3834,
      0.4312,
      0.338,
      0.3564,
      0.4398,
      0.3893,
      0.405,
      0.3622,
      0.4371,
      0.3875,
      0.3636,
      0.3556,
      0.2009,
      0.458,
      0.3549,
      0.2622,
      0.2457,
      0.3078,
      0.4949,
      0.3224,
      0.3447,
      0.3008,
      0.2988,
      0.4756,
      0.3088,
      0.3459,
      0.2698,
      0.3968,
      0.3291,
      0.2627,
      0.2991,
      0.2497,
      0.0242,
      0.0008,
      0.0004,
      0.0004,
      0.0004,
      0.0004
    ],
    "vocal_pitch_curve": [],
    "drums_rms": 0.058136,
    "drums_prominence": 0.3583,
    "drums_onset_density": 2.6402,
    "drums_pattern_complexity": 0.0164,
    "drums_timing_variance": 0.081125,
    "drums_is_programmed": false,
    "drums_energy_curve": [
      0.0004,
      0.0004,
      0.0003,
      0.0003,
      0.0003,
      0.0004,
      0.0004,
      0.0003,
      0.0003,
      0.0003,
      0.0003,
      0.0002,
      0.0002,
      0.0003,
      0.0003,
      0.0003,
      0.0003,
      0.0004,
      0.0004,
      0.0004,
      0.0004,
      0.0003,
      0.0003,
      0.0002,
      0.0003,
      0.0004,
      0.0003,
      0.0004,
      0.0003,
      0.0004,
      0.0004,
      0.0003,
      0.0003,
      0.0001,
      0.0002,
      0.0004,
      0.0004,
      0.0004,
      0.0003,
      0.0004,
      0.0004,
      0.2819,
      0.0004,
      0.295,
      0.0004,
      0.2315,
      0.157,
      0.0004,
      0.3104,
      0.0006,
      0.3236,
      0.0052,
      0.0004,
      0.3116,
      0.0006,
      0.316,
      0.0008,
      0.2627,
      0.1603,
      0.0007,
      0.3183,
      0.0006,
      0.3131,
      0.0033,
      0.0011,
      0.322,
      0.0008,
      0.2978,
      0.0013,
      0.2632,
      0.1867,
      0.0007,
      0.3269,
      0.0008,
      0.3241,
      0.0037,
      0.0004,
      0.3663,
      0.1167,
      0.2661,
      0.145,
      0.278,
      0.1779,
      0.1247,
      0.298,
      0.1059,
      0.3385,
      0.2931,
      0.4885,
      0.7261,
      0.1706,
      0.3182,
      0.1109,
      0.6117,
      0.6669,
      0.1463,
      0.3404,
      0.0857,
      0.3365,
      0.1443,
      0.1097,
      0.3407,
      0.2729,
      0.3431,
      0.1244,
      0.2954,
      0.1858,
      0.1817,
      0.3577,
      0.1069,
      0.3446,
      0.1113,
      0.1019,
      0.3435,
      0.1466,
      0.3751,
      0.138,
      0.2486,
      0.1826,
      0.1428,
      0.3,
      0.3982,
      0.4412,
      0.463,
      0.1199,
      0.3386,
      0.4447,
      0.6597,
      0.5811,
      0.2915,
      0.1823,
      0.1867,
      1,
      0.475,
      0.3384,
      0.0786,
      0.0007,
      0.324,
      0.0007,
      0.331,
      0.0005,
      0.2535,
      0.2068,
      0.0005,
      0.3109,
      0.0005,
      0.3279,
      0.0046,
      0.0004,
      0.3238,
      0.0005,
      0.3169,
      0.0006,
      0.2536,
      0.2474,
      0.1405,
      0.2798,
      0.1634,
      0.3199,
      0.1119,
      0.1041,
      0.318,
      0.1535,
      0.3308,
      0.3698,
      0.7548,
      0.6776,
      0.1514,
      0.3253,
      0.079,
      0.6363,
      0.7134,
      0.1098,
      0.3349,
      0.13,
      0.3323,
      0.1181,
      0.2976,
      0.1975,
      0.1304,
      0.3426,
      0.103,
      0.3428,
      0.2469,
      0.4914,
      0.3679,
      0.1495,
      0.3407,
      0.109,
      0.2989,
      0.2101,
      0.1501,
      0.3855,
      0.0353,
      0.2836,
      0.0983,
      0.0759,
      0.2976,
      0.0648,
      0.288,
      0.0741,
      0.2693,
      0.153,
      0.0742,
      0.328,
      0.0746,
      0.3162,
      0.0023,
      0.0742,
      0.3217,
      0.0979,
      0.3104,
      0.003,
      0.2727,
      0.1929,
      0.0928,
      0.3122,
      0.0007,
      0.3316,
      0.0914,
      0.0701,
      0.2981,
      0.0741,
      0.3277,
      0.0716,
      0.2862,
      0.1753,
      0.0725,
      0.33,
      0.074,
      0.3701,
      0.102,
      0.1039,
      0.2798,
      0.1518,
      0.3012,
      0.1247,
      0.3135,
      0.3212,
      0.1516,
      0.3369,
      0.5795,
      0.834,
      0.7188,
      0.1091,
      0.3295,
      0.1317,
      0.7285,
      0.5427,
      0.2965,
      0.1826,
      0.1282,
      0.3408,
      0.1035,
      0.3522,
      0.1115,
      0.1109,
      0.3411,
      0.1506,
      0.3255,
      0.139,
      0.2941,
      0.2237,
      0.1548,
      0.3387,
      0.0797,
      0.3424,
      0.1501,
      0.1059,
      0.3845,
      0.1338,
      0.2838,
      0.1187,
      0.2733,
      0.1854,
      0.1229,
      0.3086,
      0.1079,
      0.3491,
      0.1726,
      0.5403,
      0.7531,
      0.191,
      0.315,
      0.1116,
      0.8517,
      0.8973,
      0.1544,
      0.3316,
      0.0016,
      0.3327,
      0.0962,
      0.0729,
      0.3326,
      0.072,
      0.335,
      0.0643,
      0.2705,
      0.1711,
      0.075,
      0.3304,
      0.0685,
      0.3357,
      0.003,
      0.0713,
      0.3265,
      0.0971,
      0.3454,
      0.1007,
      0.2444,
      0.1878,
      0.1511,
      0.3114,
      0.2168,
      0.3955,
      0.3402,
      0.1113,
      0.3397,
      0.5188,
      0.7709,
      0.7081,
      0.295,
      0.1801,
      0.1466,
      0.4722,
      0.1318,
      0.3381,
      0.1103,
      0.1084,
      0.3343,
      0.1475,
      0.3319,
      0.1119,
      0.2777,
      0.2291,
      0.1494,
      0.3339,
      0.1549,
      0.3506,
      0.1425,
      0.1078,
      0.3409,
      0.1308,
      0.3395,
      0.1298,
      0.2959,
      0.269,
      0.0051,
      0.2544,
      0.0148,
      0.2759,
      0.0061,
      0.0043,
      0.2585,
      0.0024,
      0.3125,
      0.3582,
      0.7127,
      0.7129,
      0.003,
      0.3113,
      0.001,
      0.7246,
      0.7427,
      0.0012,
      0.3152,
      0.0093,
      0.3202,
      0.0006,
      0.2563,
      0.1741,
      0.0009,
      0.3202,
      0.0011,
      0.2937,
      0.0025,
      0.0006,
      0.3228,
      0.0006,
      0.3268,
      0.001,
      0.2715,
      0.1841,
      0.0009,
      0.3809,
      0.0925,
      0.2811,
      0.1676,
      0.1103,
      0.3107,
      0.418,
      0.4701,
      0.4263,
      0.2954,
      0.1837,
      0.4378,
      0.8257,
      0.1095,
      0.3396,
      0.1125,
      0.116,
      0.342,
      0.1578,
      0.3195,
      0.1126,
      0.2898,
      0.2011,
      0.1505,
      0.3322,
      0.1632,
      0.3618,
      0.2642,
      0.1121,
      0.3344,
      0.5217,
      0.4961,
      0.1329,
      0.2959,
      0.1914,
      0.1328,
      0.3486,
      0.11,
      0.3873,
      0.0954,
      0.0016,
      0.2786,
      0.0004,
      0.2892,
      0.0005,
      0.2377,
      0.1583,
      0.0002,
      0.3261,
      0.0005,
      0.3239,
      0.0049,
      0.0003,
      0.305,
      0.0014,
      0.3188,
      0.0004,
      0.2704,
      0.1694,
      0.0035,
      0.3284,
      0.0004,
      0.3282,
      0.0018,
      0.0018,
      0.3373,
      0.0004,
      0.3143,
      0.001,
      0.2585,
      0.1926,
      0.0002,
      0.0004,
      0.0004,
      0.0003,
      0.0003,
      0.0002,
      0.0002
    ],
    "bass_rms": 0.175634,
    "bass_prominence": 1,
    "bass_pitch_mean": 84.39,
    "bass_root_note": "F",
    "bass_sub_ratio": 0.9036,
    "bass_line_complexity": 1,
    "bass_energy_curve": [
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0,
      0,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0001,
      0.0002,
      0.0001,
      0.0001,
      0.0001,
      0.0002,
      0.0002,
      0.0001,
      0.0003,
      0.0003,
      0.0003,
      0.0002,
      0.0001,
      0.0004,
      0.0001,
      0.0002,
      0.0001,
      0.0002,
      0.0002,
      0.0001,
      0.0003,
      0.0003,
      0.0003,
      0.0002,
      0.0003,
      0.0002,
      0.0001,
      0.0003,
      0.0002,
      0.0003,
      0.0002,
      0.0002,
      0.0003,
      0.0004,
      0.0004,
      0.0002,
      0.0001,
      0.0003,
      0.7281,
      0.9662,
      0.5806,
      0.1722,
      0.0518,
      0.643,
      0.7185,
      0.7279,
      0.2424,
      0.2711,
      0.5827,
      0.5252,
      0.3083,
      0.0936,
      0.0267,
      0.4064,
      0.5361,
      0.3094,
      0.0898,
      0.6829,
      0.7876,
      0.7406,
      0.2704,
      0.0785,
      0.6732,
      0.8481,
      0.6455,
      0.2458,
      0.0748,
      0.6478,
      0.5205,
      0.1554,
      0.4671,
      0.4182,
      0.1266,
      0.0364,
      0.0109,
      0.0032,
      0.5674,
      0.9108,
      0.7597,
      0.2764,
      0.0838,
      0.5091,
      0.6366,
      0.7514,
      0.3994,
      0.1175,
      0.5092,
      0.5946,
      0.4311,
      0.1544,
      0.0442,
      0.0128,
      0.4906,
      0.4418,
      0.1495,
      0.0423,
      0.0005,
      0.0005,
      0.0004,
      0.0004,
      0.0003,
      0.0002,
      0.0002,
      0.0001,
      0.0004,
      0.0002,
      0.0003,
      0.0002,
      0.0001,
      0.001,
      0.0002,
      0.0002,
      0.0001,
      0.0002,
      0.0003,
      0.7772,
      1,
      0.4099,
      0.1369,
      0.3265,
      0.6733,
      0.7533,
      0.6142,
      0.1917,
      0.3895,
      0.5511,
      0.5041,
      0.2448,
      0.0725,
      0.0215,
      0.4801,
      0.5124,
      0.2471,
      0.07,
      0.732,
      0.7794,
      0.667,
      0.2066,
      0.0594,
      0.715,
      0.883,
      0.5616,
      0.1947,
      0.2347,
      0.6034,
      0.3837,
      0.1241,
      0.5118,
      0.3371,
      0.0982,
      0.0285,
      0.0086,
      0.0022,
      0.0003,
      0.0002,
      0.0001,
      0.0001,
      0.0002,
      0.0003,
      0.0002,
      0.0002,
      0.0002,
      0.0003,
      0.0004,
      0.0002,
      0.0001,
      0.0002,
      0.0003,
      0.0002,
      0.0002,
      0.0001,
      0.0002,
      0.0002,
      0.0002,
      0.0004,
      0.0001,
      0.0002,
      0.0002,
      0.0002,
      0.0002,
      0.0001,
      0.0004,
      0.0003,
      0.0003,
      0.0002,
      0.0003,
      0.0002,
      0.0002,
      0.0003,
      0.0002,
      0.0002,
      0.371,
      0.874,
      0.9032,
      0.3361,
      0.1077,
      0.4786,
      0.6417,
      0.743,
      0.5087,
      0.1497,
      0.4064,
      0.5314,
      0.423,
      0.1971,
      0.0565,
      0.0167,
      0.4738,
      0.5242,
      0.1916,
      0.0532,
      0.7793,
      0.8256,
      0.5752,
      0.161,
      0.3532,
      0.7897,
      0.8067,
      0.485,
      0.1525,
      0.4161,
      0.5529,
      0.3148,
      0.0965,
      0.5641,
      0.2647,
      0.0763,
      0.0219,
      0.0069,
      0.0013,
      0.7358,
      0.9711,
      0.5872,
      0.1733,
      0.0527,
      0.6286,
      0.7252,
      0.7389,
      0.2427,
      0.2367,
      0.5784,
      0.5102,
      0.3062,
      0.0936,
      0.0275,
      0.2866,
      0.4808,
      0.3124,
      0.0919,
      0.0231,
      0.0004,
      0.0003,
      0.0001,
      0.0002,
      0.0002,
      0.0003,
      0.0001,
      0.0002,
      0.0003,
      0.0004,
      0.0003,
      0.0001,
      0.0002,
      0.0003,
      0.0002,
      0.0002,
      0.0002,
      0.0002,
      0.5542,
      0.9014,
      0.7373,
      0.2764,
      0.0842,
      0.527,
      0.6707,
      0.7569,
      0.4021,
      0.1185,
      0.4801,
      0.5329,
      0.401,
      0.1544,
      0.045,
      0.0272,
      0.6164,
      0.5408,
      0.1472,
      0.3817,
      0.7992,
      0.8173,
      0.4174,
      0.1265,
      0.5318,
      0.7957,
      0.7331,
      0.3924,
      0.1187,
      0.5121,
      0.557,
      0.2569,
      0.0753,
      0.5991,
      0.207,
      0.0598,
      0.0174,
      0.0052,
      0.0004,
      0.7725,
      0.9915,
      0.4209,
      0.1355,
      0.3041,
      0.678,
      0.7591,
      0.6161,
      0.1919,
      0.3463,
      0.5293,
      0.4773,
      0.2463,
      0.0733,
      0.021,
      0.4389,
      0.5044,
      0.2482,
      0.0708,
      0.0146,
      0.0002,
      0.0003,
      0.0002,
      0.0003,
      0.0002,
      0.0003,
      0.0003,
      0.0004,
      0.0003,
      0.0002,
      0.0002,
      0.0003,
      0.0006,
      0.0004,
      0.0005,
      0.0004,
      0.0003,
      0.0004,
      0.6645,
      0.9406,
      0.6273,
      0.2207,
      0.0678,
      0.5572,
      0.6341,
      0.7561,
      0.3108,
      0.0915,
      0.541,
      0.6171,
      0.4094,
      0.1171,
      0.0333,
      0.396,
      0.6473,
      0.3922,
      0.117,
      0.5869,
      0.7831,
      0.8074,
      0.3426,
      0.0972,
      0.588,
      0.8229,
      0.6465,
      0.3151,
      0.0945,
      0.5519,
      0.4935,
      0.1977,
      0.2704,
      0.5374,
      0.16,
      0.0464,
      0.0163,
      0.0043,
      0.0002,
      0.0002,
      0.0002,
      0.0001,
      0.0002,
      0.0002,
      0.0003,
      0.0001,
      0,
      0.0002,
      0.0002,
      0.0003,
      0.0002,
      0.0001,
      0.0003,
      0.0003,
      0.0003,
      0.0001,
      0.0006,
      0.0002,
      0.0002,
      0.0003,
      0.0001,
      0.0002,
      0.0002,
      0.0002,
      0.0003,
      0.0001,
      0.0002,
      0.0001,
      0.0003,
      0.0003,
      0.0001,
      0.0002,
      0.0002,
      0.0001,
      0.0001,
      0.0001,
      0
    ],
    "other_rms": 0.032735,
    "other_prominence": 0.2017,
    "other_spectral_centroid": 0.1289,
    "other_harmonic_density": 0.971,
    "other_energy_curve": [
      0.0038,
      0.0036,
      0.0032,
      0.0033,
      0.0017,
      0.0036,
      0.0037,
      0.0032,
      0.0032,
      0.003,
      0.0024,
      0.0022,
      0.0029,
      0.0032,
      0.0017,
      0.0034,
      0.0032,
      0.0038,
      0.0045,
      0.0034,
      0.0034,
      0.0024,
      0.0033,
      0.0023,
      0.0033,
      0.0034,
      0.0036,
      0.0039,
      0.0026,
      0.0037,
      0.0035,
      0.0027,
      0.0035,
      0.0016,
      0.003,
      0.0036,
      0.0038,
      0.0043,
      0.0028,
      0.3069,
      0.7157,
      0.2535,
      0.1285,
      0.517,
      0.5333,
      0.3115,
      0.0995,
      0.0698,
      0.5587,
      0.6578,
      0.2194,
      0.1212,
      0.0261,
      0.819,
      0.7475,
      0.3237,
      0.118,
      0.0888,
      0.7787,
      0.3687,
      0.1537,
      0.1391,
      0.3871,
      0.4276,
      0.405,
      0.2922,
      0.2665,
      0.5953,
      0.6962,
      0.5699,
      0.2453,
      0.22,
      0.6387,
      0.756,
      0.2701,
      0.3502,
      0.5112,
      0.8318,
      0.6751,
      0.3114,
      0.162,
      0.3303,
      0.7584,
      0.7398,
      0.2443,
      0.1362,
      0.6144,
      0.6463,
      0.8342,
      0.1967,
      0.1296,
      0.7931,
      0.7197,
      0.5933,
      0.1318,
      0.0165,
      0.8618,
      0.8683,
      0.421,
      0.1263,
      0.0125,
      0.8522,
      0.8635,
      0.3055,
      0.1453,
      0.2165,
      0.8374,
      0.8833,
      0.216,
      0.1435,
      0.5999,
      0.6803,
      0.902,
      0.2204,
      0.1404,
      0.7563,
      0.7046,
      0.5061,
      0.1333,
      0.0379,
      0.7492,
      0.7833,
      0.385,
      0.2388,
      0.0871,
      0.7397,
      0.8029,
      0.3255,
      0.1404,
      0.0853,
      0.6771,
      0.7111,
      0.1715,
      0.039,
      0.4813,
      0.669,
      0.6613,
      0.422,
      0.1073,
      0.5574,
      0.6996,
      0.5694,
      0.1238,
      0.1625,
      0.831,
      0.7785,
      0.4013,
      0.3212,
      0.0753,
      0.7913,
      0.8654,
      0.2963,
      0.1744,
      0.2284,
      0.7998,
      0.6995,
      0.0954,
      0.0832,
      0.5821,
      0.5306,
      0.8259,
      0.1323,
      0.0959,
      0.7735,
      0.7892,
      0.7044,
      0.234,
      0.1234,
      0.8045,
      0.8133,
      0.4178,
      0.1465,
      0.0122,
      0.9408,
      0.8768,
      0.2198,
      0.0815,
      0.3602,
      0.7323,
      0.8607,
      0.2019,
      0.0624,
      0.633,
      0.7167,
      0.9878,
      0.2668,
      0.1635,
      0.764,
      0.8542,
      0.6494,
      0.2571,
      0.5354,
      0.862,
      0.8265,
      0.4557,
      0.202,
      0.0317,
      0.6159,
      0.6558,
      0.1357,
      0.1314,
      0.238,
      0.6927,
      0.7333,
      0.1212,
      0.1032,
      0.5303,
      0.6441,
      0.7162,
      0.2252,
      0.0562,
      0.7017,
      0.4434,
      0.1733,
      0.1541,
      0.0635,
      0.5413,
      0.4633,
      0.2626,
      0.3907,
      0.1033,
      0.4626,
      0.6936,
      0.2837,
      0.2291,
      0.2069,
      0.6234,
      0.6387,
      0.1695,
      0.4574,
      0.6578,
      0.6685,
      0.6726,
      0.1969,
      0.1016,
      0.7346,
      0.6941,
      0.6536,
      0.1945,
      0.0935,
      0.8296,
      0.8829,
      0.457,
      0.1882,
      0.0415,
      0.8422,
      0.8166,
      0.3242,
      0.0675,
      0.2211,
      0.8644,
      0.8919,
      0.265,
      0.0625,
      0.6851,
      0.6036,
      0.8487,
      0.1799,
      0.1182,
      0.7942,
      0.7503,
      0.6845,
      0.2199,
      0.1721,
      0.8292,
      0.8588,
      0.4395,
      0.2186,
      0.0396,
      0.0402,
      0.7108,
      0.203,
      0.1147,
      0.3258,
      0.7294,
      0.8331,
      0.2557,
      0.1371,
      0.6107,
      0.609,
      0.8739,
      0.2437,
      0.1189,
      0.6628,
      0.6395,
      0.5347,
      0.4594,
      0.6013,
      0.8049,
      0.707,
      0.5408,
      0.3127,
      0.1263,
      0.668,
      0.8062,
      0.2682,
      0.2085,
      0.2948,
      0.8365,
      0.8463,
      0.366,
      0.2542,
      0.5776,
      0.6095,
      0.8871,
      0.1969,
      0.1065,
      0.743,
      0.624,
      0.3425,
      0.0775,
      0.0419,
      0.7602,
      0.7761,
      0.451,
      0.1304,
      0.0798,
      0.8831,
      0.9273,
      0.3606,
      0.1825,
      0.2343,
      0.8155,
      0.8584,
      0.2651,
      0.0517,
      0.6345,
      0.7698,
      0.7987,
      0.1627,
      0.0638,
      0.692,
      0.6589,
      0.6988,
      0.0626,
      0.0313,
      0.8872,
      0.8984,
      0.6015,
      0.2407,
      0.0919,
      0.8576,
      0.9522,
      0.3436,
      0.3096,
      0.3545,
      0.7492,
      0.0441,
      0.0633,
      0.0683,
      0.0817,
      0.0558,
      0.1059,
      0.1744,
      0.2254,
      0.0659,
      0.128,
      0.0895,
      0.2465,
      0.1512,
      0.105,
      0.1076,
      0.109,
      0.0478,
      0.0104,
      0.0157,
      0.1316,
      0.0758,
      0.1607,
      0.1465,
      0.4394,
      0.3066,
      0.2412,
      0.2898,
      0.2431,
      0.3611,
      0.6329,
      0.1859,
      0.2249,
      0.6035,
      0.6073,
      0.31,
      0.1401,
      0.1581,
      0.0182,
      0.6535,
      0.5263,
      0.1453,
      0.0248,
      0.9452,
      0.8538,
      0.3577,
      0.1764,
      0.2663,
      0.8914,
      1,
      0.3206,
      0.1912,
      0.6324,
      0.793,
      0.914,
      0.2609,
      0.0276,
      0.8516,
      0.8847,
      0.5181,
      0.1851,
      0.0195,
      0.8113,
      0.7889,
      0.4134,
      0.1735,
      0.0839,
      0.8634,
      0.872,
      0.3286,
      0.2218,
      0.1614,
      0.8693,
      0.8861,
      0.2923,
      0.1784,
      0.5736,
      0.7514,
      0.7226,
      0.1671,
      0.1446,
      0.723,
      0.7481,
      0.6607,
      0.1739,
      0.1462,
      0.7673,
      0.7796,
      0.4212,
      0.2949,
      0.1764,
      0.8816,
      0.8086,
      0.3235,
      0.096,
      0.1927,
      0.8659,
      0.9439,
      0.3768,
      0.1575,
      0.6468,
      0.556,
      0.9166,
      0.2733,
      0.208,
      0.751,
      0.7503,
      0.635,
      0.2831,
      0.0765,
      0.8859,
      0.9068,
      0.4694,
      0.2023,
      0.0611,
      0.0005
    ],
    "rhythmic_foundation": 1,
    "harmonic_vocal_balance": 0.6007,
    "key_validated": true,
    "key_bass_agreement": true,
    "section_map": [
      {
        "type": "bridge",
        "end_seconds": 20.5,
        "start_seconds": 0
      },
      {
        "type": "verse",
        "end_seconds": 42.5,
        "start_seconds": 20.5
      },
      {
        "type": "chorus",
        "end_seconds": 48,
        "start_seconds": 42.5
      },
      {
        "type": "verse",
        "end_seconds": 60.5,
        "start_seconds": 48
      },
      {
        "type": "chorus",
        "end_seconds": 65.5,
        "start_seconds": 60.5
      },
      {
        "type": "verse",
        "end_seconds": 138.5,
        "start_seconds": 65.5
      },
      {
        "type": "chorus",
        "end_seconds": 144,
        "start_seconds": 138.5
      },
      {
        "type": "verse",
        "end_seconds": 231,
        "start_seconds": 144
      }
    ],
    "created_at": "2026-03-19T06:00:29.071099+00:00",
    "updated_at": "2026-03-22T16:23:21.793853+00:00",
    "drums_classification_confidence": 0.95,
    "drums_classification_source": "algorithm_confident",
    "vocal_energy_curve": [
      0.323828935623169,
      0.34708359837532,
      0.463437855243683,
      0.531274616718292,
      0.186370328068733,
      0.400925844907761,
      0.307642489671707,
      0.358270674943924,
      0.402636021375656,
      0.160081818699837,
      0.351654887199402,
      0.359273344278336,
      0.239157944917679,
      0.481106340885162,
      0.197258114814758,
      0.358207583427429,
      0.466194242238998,
      0.433980971574783,
      0.503486335277557,
      0.333384901285172,
      0.506604433059692,
      0.28299468755722,
      0.525590300559998,
      0.366927683353424,
      0.434910655021667,
      0.405508369207382,
      0.360219836235046,
      0.399724125862122,
      0.333435654640198,
      0.257413804531097,
      0.390154302120209,
      0.291512787342072,
      0.325667172670364,
      0.4191754758358,
      0.219807833433151,
      0.432552516460419,
      0.401553153991699,
      0.398916900157928,
      0.490791738033295,
      0.323442548513412,
      0.382585942745209,
      0.333212554454803,
      0.374121338129044,
      0.212877601385117,
      0.423127561807632,
      0.403067082166672,
      0.4279405772686,
      0.443057388067245,
      0.19811125099659,
      0.353294253349304,
      0.443149656057358,
      0.329418122768402,
      0.379326939582825,
      0.169868156313896,
      0.33256009221077,
      0.302922666072845,
      0.351493537425995,
      0.297098368406296,
      0.116077080368996,
      0.360021561384201,
      0.600896954536438,
      0.550325989723206,
      0.527748882770538,
      0.51315176486969,
      0.66095370054245,
      0.622678697109222,
      0.532162845134735,
      0.488528370857239,
      0.49963304400444,
      0.570635437965393,
      0.533768475055695,
      0.48529314994812,
      0.476406008005142,
      0.390771836042404,
      0.40575835108757,
      0.423402160406113,
      0.41332083940506,
      0.0562131553888321,
      0.334614455699921,
      0.388128072023392,
      0.33653861284256,
      0.33795291185379,
      0.383682757616043,
      0.327956646680832,
      0.186454385519028,
      0.355808913707733,
      0.359854161739349,
      0.416324645280838,
      0.322668552398682,
      0.273266702890396,
      0.448620676994324,
      0.483813583850861,
      0.542785465717316,
      0.263879060745239,
      0.418242573738098,
      0.483843773603439,
      0.47362807393074,
      0.50072854757309,
      0.136268675327301,
      0.0252500362694263,
      0.337331533432007,
      0.326653093099594,
      0.418528258800507,
      0.180034533143044,
      0.16752989590168,
      0.353766828775406,
      0.311526626348495,
      0.377857714891434,
      0.210606560111046,
      0.420355051755905,
      0.442084938287735,
      0.525035381317139,
      0.5340336561203,
      0.0813922509551048,
      0.36530813574791,
      0.426226794719696,
      0.547810733318329,
      0.492094129323959,
      0.314985245466232,
      0.423524141311646,
      0.359031230211258,
      0.396135628223419,
      0.320523291826248,
      0.190426826477051,
      0.418282598257065,
      0.341720551252365,
      0.404531598091125,
      0.450641512870789,
      0.462259620428085,
      0.558701932430267,
      0.497071236371994,
      0.495175331830978,
      0.504722535610199,
      0.493349403142929,
      0.550603628158569,
      0.517692387104034,
      0.0457480326294899,
      0.374372810125351,
      0.378103762865067,
      0.375465303659439,
      0.430061876773834,
      0.438941836357117,
      0.440596967935562,
      0.423416048288345,
      0.490642845630646,
      0.585014700889587,
      0.453645050525665,
      0.301413357257843,
      0.419463455677032,
      0.478139340877533,
      0.493801862001419,
      0.38922107219696,
      0.346407324075699,
      0.331814527511597,
      0.404773265123367,
      0.389174550771713,
      0.480604290962219,
      0.702338576316833,
      0.556267559528351,
      0.656943738460541,
      0.415847063064575,
      0.192922875285149,
      0.466557919979095,
      0.326099097728729,
      0.413191288709641,
      0.27956759929657,
      0.233109787106514,
      0.348187327384949,
      0.296397238969803,
      0.309562206268311,
      0.401723891496658,
      0.263776957988739,
      0.49781346321106,
      0.37493821978569,
      0.413115948438644,
      0.498699486255646,
      0.382976442575455,
      0.398767709732056,
      0.468002021312714,
      0.461571902036667,
      0.350298881530762,
      0.502389550209045,
      0.357831716537476,
      0.352865755558014,
      0.399298906326294,
      0.18993054330349,
      0.361784905195236,
      0.370166957378387,
      0.18273052573204,
      0.43886587023735,
      0.250285387039185,
      0.307739228010178,
      0.495576679706573,
      0.322229355573654,
      0.51602303981781,
      0.342228680849075,
      0.415756642818451,
      0.350219547748566,
      0.328222721815109,
      0.361643403768539,
      0.153592199087143,
      0.589909672737122,
      0.403582692146301,
      0.421390205621719,
      0.35688790678978,
      0.196915790438652,
      0.429707318544388,
      0.34388592839241,
      0.347080826759338,
      0.302607238292694,
      0.201226770877838,
      0.35409739613533,
      0.380896806716919,
      0.325919896364212,
      0.198425084352493,
      0.240435644984245,
      0.530167400836945,
      0.627468228340149,
      0.537009298801422,
      0.508534610271454,
      0.580384135246277,
      0.612016201019287,
      0.623522281646729,
      0.5157670378685,
      0.491521805524826,
      0.600147724151611,
      0.564812242984772,
      0.595067501068115,
      0.498059153556824,
      0.441755205392838,
      0.45257505774498,
      0.482808977365494,
      0.466834038496017,
      0.277749627828598,
      0.163230076432228,
      0.367451548576355,
      0.346686691045761,
      0.393025159835815,
      0.310744434595108,
      0.47453436255455,
      0.182253569364548,
      0.0549075715243816,
      0.321237474679947,
      0.335093170404434,
      0.447762727737427,
      0.147805690765381,
      0.210117653012276,
      0.421719044446945,
      0.445689976215363,
      0.407184511423111,
      0.293087214231491,
      0.435779750347137,
      0.420385181903839,
      0.42543488740921,
      0.346286922693253,
      0.0203160438686609,
      0.236244395375252,
      0.370088338851929,
      0.371925979852676,
      0.295497387647629,
      0.00453998800367117,
      0.158079415559769,
      0.352441221475601,
      0.449088931083679,
      0.284743189811707,
      0.0707031488418579,
      0.4515680372715,
      0.433075666427612,
      0.401299148797989,
      0.348102122545242,
      0.364459037780762,
      0.370370656251907,
      0.444611728191376,
      0.5049849152565,
      0.403648763895035,
      0.309477359056473,
      0.404915601015091,
      0.414963155984879,
      0.45875084400177,
      0.131529554724693,
      0.0660842061042786,
      0.394701391458511,
      0.310195028781891,
      0.400271087884903,
      0.495835691690445,
      0.45349395275116,
      0.382263273000717,
      0.449257105588913,
      0.454717010259628,
      0.461124241352081,
      0.493043720722198,
      0.434929132461548,
      0.32983535528183,
      0.41688072681427,
      0.366915166378021,
      0.335513979196548,
      0.470293670892715,
      0.445326626300812,
      0.407832026481628,
      0.412232220172882,
      0.434601783752441,
      0.551750659942627,
      0.573627650737762,
      0.324322313070297,
      0.366657882928848,
      0.428226292133331,
      0.463428825139999,
      0.479847073554993,
      0.361157029867172,
      0.348431199789047,
      0.334132850170135,
      0.388891637325287,
      0.470149576663971,
      0.576273798942566,
      0.593443095684052,
      0.639529287815094,
      0.649218082427979,
      0.203166738152504,
      0.423983246088028,
      0.30393773317337,
      0.307711571455002,
      0.383115231990814,
      0.144427180290222,
      0.349230021238327,
      0.349807411432266,
      0.209893494844437,
      0.478491276502609,
      0.210276290774345,
      0.424028724431992,
      0.474509239196777,
      0.399715453386307,
      0.507987797260284,
      0.329219460487366,
      0.498272508382797,
      0.330046534538269,
      0.502422153949738,
      0.354448020458221,
      0.403157204389572,
      0.459731429815292,
      0.348794937133789,
      0.40628781914711,
      0.343408972024918,
      0.218260407447815,
      0.368799030780792,
      0.279692471027374,
      0.291467487812042,
      0.410166829824448,
      0.229832649230957,
      0.417712867259979,
      0.388067573308945,
      0.407899439334869,
      0.525606095790863,
      0.370131611824036,
      0.424393355846405,
      0.594123840332031,
      0.565246999263763,
      0.532896101474762,
      0.607587575912476,
      0.58400160074234,
      0.552634060382843,
      0.564390242099762,
      0.494771510362625,
      0.562796294689178,
      0.572974026203156,
      0.574360728263855,
      0.450873672962189,
      0.40181502699852,
      0.489591062068939,
      0.594517529010773,
      0.580729901790619,
      0.415940672159195,
      0.24612882733345,
      0.580085098743439,
      0.690394461154938,
      0.519400954246521,
      0.53084671497345,
      0.497968554496765,
      0.664549469947815,
      0.591462075710297,
      0.53537905216217,
      0.515137732028961,
      0.514573216438293,
      0.623932421207428,
      0.543140232563019,
      0.523938119411469,
      0.470407098531723,
      0.408597618341446,
      0.459172338247299,
      0.501536130905151,
      0.389280527830124,
      0.0334458015859127,
      0.335278332233429,
      0.374171763658524,
      0.297995805740356,
      0.233557015657425,
      0.0675148144364357,
      0.28535458445549,
      0.212828367948532,
      0.090714119374752,
      0.251066982746124,
      0.241699010133743,
      0.275247395038605,
      0.212844207882881,
      0.18699586391449,
      0.121305622160435,
      0.210856601595879,
      0.0845681875944138,
      0.144699528813362,
      0.0318796001374722,
      0.18758636713028,
      0.246109873056412,
      0.144625619053841,
      0.202705532312393,
      0.330888658761978,
      0.152391687035561,
      0.172024458646774,
      0.239599585533142,
      0.213512107729912,
      0.162032008171082,
      0.266221046447754,
      0.220930010080338,
      0.239702239632607,
      0.334347039461136,
      0.297591775655746,
      0.221037909388542,
      0.229474276304245,
      0.140341535210609,
      0.283751994371414,
      0.168827936053276,
      0.165979191660881,
      0.201929107308388,
      0.33025997877121,
      0.256508201360703,
      0.285207748413086,
      0.249031528830528,
      0.169126555323601,
      0.315334588289261,
      0.260110467672348,
      0.276186376810074,
      0.267025649547577,
      0.246005013585091,
      0.296560615301132,
      0.260073572397232,
      0.23946525156498,
      0.190576642751694,
      0.206767365336418,
      0.263814598321915,
      0.194865077733994,
      0.198147490620613,
      0.182147234678268,
      0.273410618305206,
      0.278655916452408,
      0.19638067483902,
      0.246565118432045,
      0.138812616467476,
      0.305835008621216,
      0.249203220009804,
      0.219426825642586,
      0.213054820895195,
      0.188372254371643,
      0.285317212343216,
      0.185119047760963,
      0.194528222084045,
      0.212584301829338,
      0.108810901641846,
      0.00135727867018431,
      0.000428373896284029,
      0.000252124475082383,
      0.000266484072199091,
      0.000273993879090995,
      0.000279708416201174
    ],
    "analysis_drums_energy_curve": [
      0.000156453883391805,
      0.000170556682860479,
      0.000149296116433106,
      0.000153441302245483,
      0.000118760552140884,
      0.000157971822773106,
      0.000178495582076721,
      0.000153607805259526,
      0.000160099269123748,
      0.000123321544378996,
      0.000145918194903061,
      0.000103945894807111,
      0.0000697947543812916,
      0.000123194098705426,
      0.000124091951875016,
      0.000142675926326774,
      0.000159002651344053,
      0.000156294176122174,
      0.000197632296476513,
      0.000134014742798172,
      0.000200731330551207,
      0.000136850125272758,
      0.000130586820887402,
      0.0000834972015582025,
      0.0000988725150818937,
      0.000161493837367743,
      0.000154236840899102,
      0.000176056069904007,
      0.000155740170157515,
      0.000150771767948754,
      0.000163667602464557,
      0.000137523573357612,
      0.0001510662259534,
      0.000123832971439697,
      0.000055813117796788,
      0.000129814259707928,
      0.000158778391778469,
      0.000181065261131153,
      0.000183549360372126,
      0.000148283477756195,
      0.000195252388948575,
      0.0409452803432941,
      0.0260735619813204,
      0.00015769102901686,
      0.0694491639733315,
      0.00017916937940754,
      0.0622593946754932,
      0.00344997900538146,
      0.000164740849868394,
      0.0715085044503212,
      0.000255173566984013,
      0.0754658281803131,
      0.000921021797694266,
      0.000166055528097786,
      0.0719588994979858,
      0.000263790629105642,
      0.0740200728178024,
      0.000401892582885921,
      0.00615296792238951,
      0.0661961883306503,
      0.000389757653465495,
      0.0730757266283035,
      0.000294831290375441,
      0.0435496158897877,
      0.0295718293637037,
      0.000354688381776214,
      0.0761111974716187,
      0.000517928972840309,
      0.0657499730587006,
      0.00274219061248004,
      0.000405290978960693,
      0.0737032145261765,
      0.000338149635354057,
      0.0751650258898735,
      0.000590083654969931,
      0.000326830137055367,
      0.0771224275231361,
      0.000185366414370947,
      0.0923386886715889,
      0.0375352017581463,
      0.0200866628438234,
      0.0959297046065331,
      0.0407171063125134,
      0.0733746513724327,
      0.0272743832319975,
      0.0581381320953369,
      0.0556494630873203,
      0.0411299467086792,
      0.0824872031807899,
      0.0626865923404694,
      0.209996059536934,
      0.17337429523468,
      0.0380241237580776,
      0.0897747352719307,
      0.0132904015481472,
      0.188759714365005,
      0.197559252381325,
      0.0245053488761187,
      0.0929061025381088,
      0.0273765902966261,
      0.0966577604413033,
      0.0373621582984924,
      0.0232386998832226,
      0.0899100378155708,
      0.0650566592812538,
      0.101003758609295,
      0.0344913117587566,
      0.0578887425363064,
      0.0532478131353855,
      0.0460430681705475,
      0.116253107786179,
      0.0283064376562834,
      0.0891122296452522,
      0.0204539746046066,
      0.0327357202768326,
      0.102998726069927,
      0.020402817055583,
      0.109225876629353,
      0.057065274566412,
      0.0349769257009029,
      0.0892344489693642,
      0.031880896538496,
      0.0834143906831741,
      0.0792074799537659,
      0.0798071175813675,
      0.15195931494236,
      0.0524048767983913,
      0.078707329928875,
      0.0841263458132744,
      0.167287796735764,
      0.160670027136803,
      0.0419590584933758,
      0.0783446803689003,
      0.022686867043376,
      0.237574145197868,
      0.244782358407974,
      0.0411882102489471,
      0.0869597569108009,
      0.000515669933520257,
      0.0743629485368729,
      0.00137737102340907,
      0.00030802798573859,
      0.077842965722084,
      0.000227953001740389,
      0.0763137936592102,
      0.000482374423881993,
      0.000330678827594966,
      0.0732784494757652,
      0.000246678100666031,
      0.0759280174970627,
      0.000255269900662825,
      0.0267481058835983,
      0.049062579870224,
      0.000213543040445074,
      0.0741942003369331,
      0.000291122647468001,
      0.0700761675834656,
      0.01801304705441,
      0.0448192618787289,
      0.0850158706307411,
      0.0468076355755329,
      0.09028659760952,
      0.02446598559618,
      0.0259858034551144,
      0.0997212007641792,
      0.025182930752635,
      0.0948617458343506,
      0.0718049108982086,
      0.205387279391289,
      0.246928066015244,
      0.0553496405482292,
      0.0765226632356644,
      0.0274024400860071,
      0.13200107216835,
      0.256170183420181,
      0.0449840538203716,
      0.078095018863678,
      0.028914138674736,
      0.0826648473739624,
      0.037691593170166,
      0.0397714488208294,
      0.0897436589002609,
      0.0176613740622997,
      0.0970399081707001,
      0.0348669216036797,
      0.0313944481313229,
      0.0897016599774361,
      0.0576658099889755,
      0.21636825799942,
      0.0387553423643112,
      0.021116441115737,
      0.0926651731133461,
      0.0308605451136827,
      0.0953089147806168,
      0.0345361270010471,
      0.039584044367075,
      0.105342201888561,
      0.0157912764698267,
      0.0774790495634079,
      0.0125957755371928,
      0.0689211934804916,
      0.0155381597578526,
      0.0125723704695702,
      0.0780726820230484,
      0.0142488013952971,
      0.0819826349616051,
      0.00108463922515512,
      0.0143065974116325,
      0.0878476351499557,
      0.0145477848127484,
      0.0844715610146523,
      0.000507067714352161,
      0.0143591854721308,
      0.0864574536681175,
      0.0220353249460459,
      0.0768525376915932,
      0.00119299185462296,
      0.0249485373497009,
      0.0748175978660583,
      0.0250743944197893,
      0.0730127319693565,
      0.00039825972635299,
      0.0662382617592812,
      0.0347447358071804,
      0.0246749259531498,
      0.0684026032686234,
      0.000589829753153026,
      0.0855670347809792,
      0.0154545465484262,
      0.0254010036587715,
      0.0756742730736732,
      0.000251620862400159,
      0.0940653011202812,
      0.022194629535079,
      0.0161054488271475,
      0.108205564320087,
      0.044449582695961,
      0.0795286223292351,
      0.0330726988613605,
      0.0323937274515629,
      0.0736822187900543,
      0.0403088219463825,
      0.113551303744316,
      0.081996850669384,
      0.0757010728120804,
      0.0361151546239853,
      0.179618686437607,
      0.352504551410675,
      0.12481451779604,
      0.0926976278424263,
      0.0225139446556568,
      0.129042237997055,
      0.231889471411705,
      0.0677661970257759,
      0.0951259881258011,
      0.0276362169533968,
      0.0247421730309725,
      0.103038467466831,
      0.0341173633933067,
      0.088527150452137,
      0.0283367391675711,
      0.0346878245472908,
      0.0971686840057373,
      0.0414393469691277,
      0.0783928036689758,
      0.0359056182205677,
      0.0729494541883469,
      0.0552689768373966,
      0.0417664684355259,
      0.0881964415311813,
      0.0177360083907843,
      0.0947685688734055,
      0.0326244868338108,
      0.0376163199543953,
      0.116995520889759,
      0.0302247200161219,
      0.0863828361034393,
      0.0412630327045918,
      0.0236553102731705,
      0.0887546092271805,
      0.0261567514389753,
      0.0948510468006134,
      0.0386795662343502,
      0.0278340633958578,
      0.0854794606566429,
      0.075630858540535,
      0.217612057924271,
      0.203951880335808,
      0.0650510564446449,
      0.0428780280053616,
      0.0343275405466557,
      0.354773730039597,
      0.219613865017891,
      0.091966912150383,
      0.0173918139189482,
      0.0124887358397245,
      0.0879734605550766,
      0.0123659912496805,
      0.091327428817749,
      0.000689937674906105,
      0.0143475104123354,
      0.0886708274483681,
      0.0164572596549988,
      0.0823018103837967,
      0.000277753279078752,
      0.0170206315815449,
      0.083208441734314,
      0.0258526392281055,
      0.0764731094241142,
      0.000775837688706815,
      0.0537613406777382,
      0.0478926263749599,
      0.0259201005101204,
      0.0846950709819794,
      0.0271711610257626,
      0.0779402330517769,
      0.0431046262383461,
      0.0403164252638817,
      0.084299623966217,
      0.0416098460555077,
      0.133968785405159,
      0.0888915583491325,
      0.0260258074849844,
      0.0910081341862679,
      0.134103447198868,
      0.271336585283279,
      0.210286557674408,
      0.0234893541783094,
      0.0852476805448532,
      0.0331639088690281,
      0.145932868123055,
      0.0703715160489082,
      0.0567236244678497,
      0.0520748384296894,
      0.0402142480015755,
      0.0922027602791786,
      0.0272398013621569,
      0.0921569168567657,
      0.0196726433932781,
      0.0408186540007591,
      0.100658766925335,
      0.0205492693930864,
      0.0959800854325294,
      0.0393197946250439,
      0.0256724543869495,
      0.102291077375412,
      0.0251676086336374,
      0.0913116708397865,
      0.0268145799636841,
      0.0235879421234131,
      0.103462748229504,
      0.0387896224856377,
      0.100793406367302,
      0.0274413675069809,
      0.0226796921342611,
      0.0411251299083233,
      0.000876186008099467,
      0.0653347298502922,
      0.000847054820042104,
      0.0543668903410435,
      0.00943553727120161,
      0.000860000436659902,
      0.0719490498304367,
      0.0845430642366409,
      0.239472270011902,
      0.184511348605156,
      0.000566488306503743,
      0.0714080110192299,
      0.000479398993775249,
      0.207746982574463,
      0.200657084584236,
      0.000672941852826625,
      0.0730657801032066,
      0.00191992230247706,
      0.0731599926948547,
      0.000275077123660594,
      0.025650916621089,
      0.0470387302339077,
      0.000382283877115697,
      0.0750793740153313,
      0.000569480296690017,
      0.0599723570048809,
      0.00773583864793181,
      0.000297060003504157,
      0.0736856088042259,
      0.000256441388046369,
      0.0749843418598175,
      0.00114033767022192,
      0.000438754155766219,
      0.0788176581263542,
      0.000398891774239019,
      0.0968745574355125,
      0.0493058748543262,
      0.0203000735491514,
      0.100902892649174,
      0.0400277823209763,
      0.072231225669384,
      0.0794739276170731,
      0.101043440401554,
      0.132384419441223,
      0.0421400964260101,
      0.0767259672284126,
      0.0814409404993057,
      0.174943879246712,
      0.127839103341103,
      0.0409031212329865,
      0.0890000462532043,
      0.0148525405675173,
      0.102599538862705,
      0.0529603250324726,
      0.0306623186916113,
      0.0885334238409996,
      0.0211013779044151,
      0.100289717316628,
      0.0405877530574799,
      0.0215353015810251,
      0.089300774037838,
      0.0476277694106102,
      0.108222611248493,
      0.0601940527558327,
      0.041072178632021,
      0.0691558048129082,
      0.107589371502399,
      0.152295395731926,
      0.0336392298340797,
      0.0809773653745651,
      0.0292502827942371,
      0.0346952453255653,
      0.104246221482754,
      0.0222978983074427,
      0.106038525700569,
      0.035360649228096,
      0.000750831793993711,
      0.0646649748086929,
      0.00018343748524785,
      0.0669982805848122,
      0.000269883719738573,
      0.000234692444792017,
      0.0671844184398651,
      0.000096584772109054,
      0.0756847932934761,
      0.000217832071939483,
      0.0136710461229086,
      0.0627778694033623,
      0.000162230731802993,
      0.0713592693209648,
      0.000531346711795777,
      0.0542055778205395,
      0.0216357093304396,
      0.000127048188005574,
      0.0751262903213501,
      0.00125373783521354,
      0.0739059597253799,
      0.00238328031264246,
      0.000150638312334195,
      0.0759718492627144,
      0.000504404364619404,
      0.079788014292717,
      0.000702337478287518,
      0.000174736866028979,
      0.0729671120643616,
      0.000540431588888168,
      0.0754536613821983,
      0.000200402762857266,
      0.000106451538158581,
      0.000193060011952184,
      0.000191054874449037,
      0.000137481431011111,
      0.000125889404444024,
      0.0000992891800706275,
      0.0000929783709580079
    ],
    "analysis_bass_energy_curve": [
      0.000052946346841054,
      0.0000540674664080143,
      0.0000655129697406664,
      0.0000686024795868434,
      0.0000526648982486222,
      0.0000677846910548396,
      0.0000689833541400731,
      0.000039208222005982,
      0.000053075622417964,
      0.0000470294726255815,
      0.0000518675660714507,
      0.0000314150784106459,
      0.0000235998904827284,
      0.0000503735209349543,
      0.0000541290464752819,
      0.0000542474299436435,
      0.0000498309746035375,
      0.0000653735623927787,
      0.0000680181401548907,
      0.0000555821716261562,
      0.0000702401739545166,
      0.0000407061343139503,
      0.000040376511606155,
      0.0000287014790956164,
      0.0000412239096476696,
      0.0000663497921777889,
      0.0000583678192924708,
      0.0000651457376079634,
      0.0000528418204339687,
      0.0000614907330600545,
      0.0000518231172463857,
      0.0000467651298095006,
      0.0000514640560140833,
      0.0000383089609385934,
      0.000019049262846238,
      0.0000448911487183068,
      0.0000546219671377912,
      0.0000573725010326598,
      0.0000638457786408253,
      0.0000602170948695857,
      0.0000669896762701683,
      0.0000851735094329342,
      0.0000638108613202348,
      0.0000417556911997963,
      0.0000788995093898848,
      0.0000536028637725394,
      0.000108413420093711,
      0.000114745096652769,
      0.0000714550551492721,
      0.000176280460436828,
      0.000176715402631089,
      0.000233006459893659,
      0.000102386547951028,
      0.0000609445378358942,
      0.000230499223107472,
      0.0000834949023555964,
      0.0000961832483881153,
      0.0000603001753916033,
      0.0000618495032540523,
      0.000205439471756108,
      0.0000963339043664746,
      0.000160960902576335,
      0.000219077657675371,
      0.000130893648019992,
      0.000172918211319484,
      0.00017881958046928,
      0.000118021664093249,
      0.0000753645290387794,
      0.000149740022607148,
      0.000166984289535321,
      0.00019048475951422,
      0.000169229475432076,
      0.000112033318146132,
      0.00021505965560209,
      0.000232701378990896,
      0.000249484583036974,
      0.000196341061382554,
      0.0000775056687416509,
      0.000162657684995793,
      0.170580640435219,
      0.619206011295319,
      0.606318593025208,
      0.225074172019958,
      0.0713827833533287,
      0.22946634888649,
      0.465932011604309,
      0.547606468200684,
      0.365177184343338,
      0.109851382672787,
      0.251688450574875,
      0.398960679769516,
      0.339075356721878,
      0.158719718456268,
      0.0472139753401279,
      0.014208598062396,
      0.270096659660339,
      0.372417956590652,
      0.177738815546036,
      0.0514834709465504,
      0.438515037298203,
      0.568418323993683,
      0.501890659332275,
      0.167960315942764,
      0.0499650947749615,
      0.436297982931137,
      0.608756244182587,
      0.464833766222,
      0.174058482050896,
      0.0536010637879372,
      0.435856640338898,
      0.367512822151184,
      0.120351895689964,
      0.164600357413292,
      0.339788556098938,
      0.105102188885212,
      0.0309470631182194,
      0.00942402333021164,
      0.0027561595197767,
      0.0694589838385582,
      0.608011305332184,
      0.666089653968811,
      0.250783920288086,
      0.0839734822511673,
      0.117132179439068,
      0.447498649358749,
      0.520906507968903,
      0.423441141843796,
      0.131620675325394,
      0.16536109149456,
      0.429105579853058,
      0.369513005018234,
      0.183995991945267,
      0.0550246872007847,
      0.0162413455545902,
      0.177962139248848,
      0.354775220155716,
      0.207177326083183,
      0.0607131943106651,
      0.011766754090786,
      0.000330494163790718,
      0.000324002437992021,
      0.000300870451610535,
      0.000279199884971604,
      0.00017756677698344,
      0.000157839705934748,
      0.0000668095672153868,
      0.0000653466195217334,
      0.000232013626373373,
      0.000123919075122103,
      0.000190724924323149,
      0.000133420850033872,
      0.000144360994454473,
      0.000530873774550855,
      0.000163918230100535,
      0.0000952360715018585,
      0.000104320417449344,
      0.00014708423987031,
      0.000211122562177479,
      0.563769638538361,
      0.713146448135376,
      0.292236179113388,
      0.0974915847182274,
      0.0810644701123238,
      0.482727259397507,
      0.531377613544464,
      0.47440379858017,
      0.153735041618347,
      0.128914266824722,
      0.404091060161591,
      0.385930985212326,
      0.21370954811573,
      0.0656141489744186,
      0.0194786805659533,
      0.169822111725807,
      0.388042032718658,
      0.238297447562218,
      0.0705726742744446,
      0.299142479896545,
      0.563525021076202,
      0.534478187561035,
      0.230593398213387,
      0.0665835812687874,
      0.332173109054565,
      0.588101446628571,
      0.503902733325958,
      0.238830983638763,
      0.0727415010333061,
      0.323454558849335,
      0.347860723733902,
      0.16837166249752,
      0.050424586981535,
      0.406646072864532,
      0.143414497375488,
      0.0424152463674545,
      0.0126566719263792,
      0.00403618579730392,
      0.00037682757829316,
      0.000163361677550711,
      0.000119416581583209,
      0.000065514977904968,
      0.000105482271465007,
      0.000100602861493826,
      0.000178560003405437,
      0.000139572337502614,
      0.000116074450488668,
      0.00012894174142275,
      0.000154924418893643,
      0.000239079628954642,
      0.000123094810987823,
      0.0000454625005659182,
      0.000115195565740578,
      0.000170868108398281,
      0.000102911668363959,
      0.000130374348373152,
      0.0000674104303470813,
      0.000138530493131839,
      0.000124832411529496,
      0.000125690145068802,
      0.000295494857709855,
      0.0000836058243294246,
      0.00010517531336518,
      0.000094612616521772,
      0.000134850750328042,
      0.00012628934928216,
      0.000102435231383424,
      0.000234616265515797,
      0.000143636993016116,
      0.000236647159908898,
      0.000134745103423484,
      0.000181748881004751,
      0.000147312093758956,
      0.000107214313175064,
      0.000166834011906758,
      0.000178161601070315,
      0.000114265174488537,
      0.000174212429556064,
      0.442039668560028,
      0.683826506137848,
      0.410826921463013,
      0.130666583776474,
      0.0405953861773014,
      0.410266995429993,
      0.477873831987381,
      0.543017327785492,
      0.211865097284317,
      0.0616944879293442,
      0.338244915008545,
      0.37739035487175,
      0.267107546329498,
      0.0892896875739098,
      0.0260567869991064,
      0.0247057359665632,
      0.405428230762482,
      0.317011803388596,
      0.0963383242487907,
      0.136952847242355,
      0.573447525501251,
      0.591233193874359,
      0.302843421697617,
      0.0924275666475296,
      0.20206743478775,
      0.558022081851959,
      0.561309516429901,
      0.316749542951584,
      0.0983462557196617,
      0.204257860779762,
      0.399986058473587,
      0.220339074730873,
      0.0684546232223511,
      0.342743426561356,
      0.19773106276989,
      0.0575186312198639,
      0.0172595921903849,
      0.00541840819641948,
      0.000867882394231856,
      0.381482094526291,
      0.672176718711853,
      0.459491640329361,
      0.155389085412025,
      0.0480128936469555,
      0.36188593506813,
      0.481102108955383,
      0.566473305225372,
      0.243330210447311,
      0.0729748979210854,
      0.345586508512497,
      0.395085126161575,
      0.285289853811264,
      0.104417040944099,
      0.0313918888568878,
      0.00960149616003036,
      0.314652770757675,
      0.31377112865448,
      0.116667486727238,
      0.033964928239584,
      0.000722004566341639,
      0.000256411120062694,
      0.000150583335198462,
      0.000130847183754668,
      0.0000800663328845985,
      0.000161434931214899,
      0.000166596262715757,
      0.0000824593225843273,
      0.000174140979652293,
      0.000169357837876305,
      0.000217298598727211,
      0.000165787874720991,
      0.0000690598753863014,
      0.000134867572342046,
      0.000206346318009309,
      0.000165988109074533,
      0.000132720961119048,
      0.000123319681733847,
      0.000173692242242396,
      0.298890829086304,
      0.646241009235382,
      0.483872652053833,
      0.17916876077652,
      0.0555000156164169,
      0.297711282968521,
      0.482622653245926,
      0.544476926326752,
      0.289269655942917,
      0.0867077708244324,
      0.280963331460953,
      0.385915517807007,
      0.302607983350754,
      0.122870661318302,
      0.0366594307124615,
      0.0110431741923094,
      0.35402125120163,
      0.427507311105728,
      0.133392676711082,
      0.0392268784344196,
      0.523910343647003,
      0.566823542118073,
      0.440525442361832,
      0.127135068178177,
      0.0368964374065399,
      0.529786109924316,
      0.623654127120972,
      0.394116431474686,
      0.134101584553719,
      0.0693563297390938,
      0.479126960039139,
      0.28822049498558,
      0.0935809835791588,
      0.262229591608047,
      0.261972695589066,
      0.0794834271073341,
      0.0236484818160534,
      0.00723369931802154,
      0.00164092297200114,
      0.231909364461899,
      0.630399167537689,
      0.54278951883316,
      0.205961644649506,
      0.0643353015184402,
      0.265431106090546,
      0.476108014583588,
      0.557519853115082,
      0.332575678825378,
      0.100751303136349,
      0.241845801472664,
      0.3832146525383,
      0.322017222642899,
      0.145551770925522,
      0.0426627062261105,
      0.012493041343987,
      0.271037876605988,
      0.361888021230698,
      0.158690571784973,
      0.0467139780521393,
      0.00567263411357999,
      0.000151294283568859,
      0.000204916825168766,
      0.00011043666745536,
      0.000225112977204844,
      0.000149418076034635,
      0.000195912100025453,
      0.000158259863383137,
      0.00016754110401962,
      0.000277079729130492,
      0.000124507190776058,
      0.000154866676894017,
      0.00020030455198139,
      0.000412409834098071,
      0.000301044026855379,
      0.000324041582643986,
      0.000291783449938521,
      0.00024450386990793,
      0.000274066434940323,
      0.136911600828171,
      0.611576020717621,
      0.610596776008606,
      0.233284562826157,
      0.0758826732635498,
      0.16017946600914,
      0.439828902482986,
      0.526469171047211,
      0.387215048074722,
      0.117046222090721,
      0.210206612944603,
      0.436059445142746,
      0.359554201364517,
      0.165541484951973,
      0.0493019856512547,
      0.0150280334055424,
      0.308500051498413,
      0.431878626346588,
      0.188240796327591,
      0.0538576878607273,
      0.419091671705246,
      0.565527141094208,
      0.517737507820129,
      0.176594793796539,
      0.0521056652069092,
      0.403864443302155,
      0.59795081615448,
      0.444528460502625,
      0.182700946927071,
      0.0559333525598049,
      0.37849086523056,
      0.345449954271317,
      0.125489860773087,
      0.127505779266357,
      0.360394388437271,
      0.109406597912312,
      0.0327222496271133,
      0.0117308469489217,
      0.00295577966608107,
      0.000100610574008897,
      0.000124988917377777,
      0.000125614780699834,
      0.0000968993263086304,
      0.0000997667666524649,
      0.000138773466460407,
      0.000166115161846392,
      0.0000991464039543644,
      0.0000329847971443087,
      0.000121493365440983,
      0.00011341595381964,
      0.000149082799907774,
      0.00019701462588273,
      0.0000835910177556798,
      0.00016601532115601,
      0.000168212136486545,
      0.000146350779687054,
      0.000108014974102844,
      0.0000413338530051988,
      0.000229366851272061,
      0.000120566466648597,
      0.000149551298818551,
      0.000084035775216762,
      0.0000671688540023752,
      0.000162879819981754,
      0.000137751834699884,
      0.00015875200915616,
      0.0000966263032751158,
      0.0000685309496475384,
      0.000117660187243018,
      0.0000632606243016198,
      0.00019860734755639,
      0.000119879659905564,
      0.0000479390437249094,
      0.00010838323214557,
      0.000119325246487278,
      0.0000570732081541792,
      0.000069832123699598,
      0.0000506707692693453,
      0.0000307009904645383
    ],
    "analysis_other_energy_curve": [
      0.0019294002559036,
      0.00197461387142539,
      0.001807248336263,
      0.00193284824490547,
      0.0010462396312505,
      0.00187138956971467,
      0.00212994357571006,
      0.00174987909849733,
      0.00198154058307409,
      0.00113276566844434,
      0.00179030408617109,
      0.00132873991969973,
      0.00119463796727359,
      0.00195764400996268,
      0.00106505933217704,
      0.00152846868149936,
      0.00205434882082045,
      0.00207554106600583,
      0.0025486012455076,
      0.00146721047349274,
      0.00223878328688443,
      0.00126994214951992,
      0.00185544381383806,
      0.0014138100668788,
      0.00155459193047136,
      0.00191137369256467,
      0.0018077144632116,
      0.00242495792917907,
      0.0018046370241791,
      0.00163940992206335,
      0.00202641286887228,
      0.0014349416596815,
      0.00163980131037533,
      0.00177248823456466,
      0.00101737049408257,
      0.00191233004443347,
      0.00199464033357799,
      0.00211002607829869,
      0.00231345393694937,
      0.00173076498322189,
      0.215800538659096,
      0.282756328582764,
      0.137340053915977,
      0.0407315157353878,
      0.260096520185471,
      0.291444808244705,
      0.117416329681873,
      0.0587847083806992,
      0.0182504095137119,
      0.265114098787308,
      0.315772980451584,
      0.113360799849033,
      0.0683873444795609,
      0.013252355158329,
      0.437758892774582,
      0.392479330301285,
      0.195336729288101,
      0.0706107094883919,
      0.00937626324594021,
      0.411840051412582,
      0.193849414587021,
      0.0610183477401733,
      0.0926061421632767,
      0.0498168952763081,
      0.270331919193268,
      0.237553551793098,
      0.136517286300659,
      0.178427845239639,
      0.102916605770588,
      0.362781763076782,
      0.432905614376068,
      0.114021308720112,
      0.160883173346519,
      0.197557717561722,
      0.374578803777695,
      0.321565538644791,
      0.131828784942627,
      0.30431005358696,
      0.358454883098602,
      0.317744851112366,
      0.316692560911179,
      0.138433784246445,
      0.0432259365916252,
      0.330641001462936,
      0.319625824689865,
      0.308154344558716,
      0.116173133254051,
      0.0486491955816746,
      0.372415125370026,
      0.398148000240326,
      0.267872154712677,
      0.102148488163948,
      0.0430630221962929,
      0.428136855363846,
      0.417840033769608,
      0.196562677621841,
      0.0484700612723827,
      0.00870262831449509,
      0.460972875356674,
      0.469267129898071,
      0.194410115480423,
      0.0498707927763462,
      0.00990814901888371,
      0.469235241413116,
      0.457378000020981,
      0.16881987452507,
      0.0825586244463921,
      0.0487135127186775,
      0.457262247800827,
      0.47088360786438,
      0.133990064263344,
      0.0836289376020432,
      0.0981745719909668,
      0.427192687988281,
      0.494972318410873,
      0.138380333781242,
      0.0919230952858925,
      0.186470195651054,
      0.318916082382202,
      0.396991312503815,
      0.0894122868776321,
      0.0310049001127481,
      0.254413336515427,
      0.304982095956802,
      0.390049606561661,
      0.145947575569153,
      0.0668369829654694,
      0.297454982995987,
      0.290646731853485,
      0.344316095113754,
      0.118515022099018,
      0.0337705537676811,
      0.269413977861404,
      0.301543325185776,
      0.221754550933838,
      0.0609698817133904,
      0.0142039833590388,
      0.360271215438843,
      0.344639271497726,
      0.294715017080307,
      0.155707910656929,
      0.0332644395530224,
      0.331383526325226,
      0.424707114696503,
      0.148039951920509,
      0.0851220488548279,
      0.0473977364599705,
      0.468796700239182,
      0.437639951705933,
      0.158574059605598,
      0.163630843162537,
      0.0572052635252476,
      0.431585073471069,
      0.471833407878876,
      0.14471398293972,
      0.0931964665651321,
      0.0871965140104294,
      0.36347708106041,
      0.355385959148407,
      0.0501189008355141,
      0.0473720468580723,
      0.178695246577263,
      0.298607677221298,
      0.437053114175797,
      0.0687208846211433,
      0.051748551428318,
      0.25538569688797,
      0.354906111955643,
      0.46944859623909,
      0.14379695057869,
      0.082384392619133,
      0.304593950510025,
      0.370976269245148,
      0.341929256916046,
      0.104221299290657,
      0.0109871570020914,
      0.386072605848312,
      0.462637722492218,
      0.221850201487541,
      0.065159298479557,
      0.0177696365863085,
      0.368370026350021,
      0.405112594366074,
      0.258237540721893,
      0.0372905358672142,
      0.0148000922054052,
      0.469790756702423,
      0.460979878902435,
      0.289215177297592,
      0.138665765523911,
      0.0461432412266731,
      0.453509747982025,
      0.521081686019897,
      0.199553683400154,
      0.2162956148386,
      0.24408982694149,
      0.513165771961212,
      0.4533831179142,
      0.188289329409599,
      0.0851022377610207,
      0.0985245928168297,
      0.285517066717148,
      0.349122792482376,
      0.0420578680932522,
      0.0627219900488853,
      0.132830604910851,
      0.251005828380585,
      0.357786625623703,
      0.0672008097171783,
      0.0494559593498707,
      0.213442951440811,
      0.328639984130859,
      0.375413030385971,
      0.126392036676407,
      0.023043405264616,
      0.261463612318039,
      0.251501888036728,
      0.0764741897583008,
      0.0814779251813889,
      0.0276772435754538,
      0.251388549804688,
      0.229281589388847,
      0.174943089485168,
      0.209404736757278,
      0.0774348378181458,
      0.212795540690422,
      0.328278988599777,
      0.207339331507683,
      0.116204641759396,
      0.0855751484632492,
      0.326090931892395,
      0.341083437204361,
      0.115799583494663,
      0.134671360254288,
      0.241158291697502,
      0.447629064321518,
      0.381923675537109,
      0.152453660964966,
      0.0848284959793091,
      0.0292843524366617,
      0.444295883178711,
      0.449207216501236,
      0.165233537554741,
      0.0851467251777649,
      0.0732917711138725,
      0.448697477579117,
      0.501221477985382,
      0.149730831384659,
      0.0781282261013985,
      0.124110646545887,
      0.354197114706039,
      0.459767580032349,
      0.129556611180305,
      0.0146689359098673,
      0.21988719701767,
      0.395232707262039,
      0.423742085695267,
      0.127715274691582,
      0.0229017212986946,
      0.330343306064606,
      0.33739173412323,
      0.384279638528824,
      0.0971635952591896,
      0.0605951957404613,
      0.370861172676086,
      0.393553763628006,
      0.338049352169037,
      0.12727478146553,
      0.0673923939466476,
      0.380324274301529,
      0.432567059993744,
      0.265373557806015,
      0.132144659757614,
      0.0255211871117353,
      0.0141735216602683,
      0.286986321210861,
      0.144515156745911,
      0.0752076134085655,
      0.0144261196255684,
      0.423085421323776,
      0.430572420358658,
      0.188589826226234,
      0.0955007672309875,
      0.0315043777227402,
      0.435844957828522,
      0.441787302494049,
      0.189644530415535,
      0.0884731262922287,
      0.0562857240438461,
      0.385430723428726,
      0.394350349903107,
      0.180802911520004,
      0.33467310667038,
      0.304341018199921,
      0.387676060199738,
      0.430410712957382,
      0.264620304107666,
      0.114570386707783,
      0.168582484126091,
      0.315761864185333,
      0.414800643920898,
      0.0933469161391258,
      0.116910263895988,
      0.306656569242477,
      0.343071579933167,
      0.429765045642853,
      0.198110327124596,
      0.0757396072149277,
      0.328571975231171,
      0.386125028133392,
      0.344119310379028,
      0.107387520372868,
      0.0334257856011391,
      0.360579997301102,
      0.291701555252075,
      0.123849600553513,
      0.0437461771070957,
      0.0190979056060314,
      0.396560251712799,
      0.394655466079712,
      0.193509355187416,
      0.0590760707855225,
      0.040357518941164,
      0.458511233329773,
      0.473457098007202,
      0.221779331564903,
      0.112636439502239,
      0.0297816153615713,
      0.458320528268814,
      0.457082659006119,
      0.181490138173103,
      0.0380051136016846,
      0.0426568165421486,
      0.506721615791321,
      0.449138760566711,
      0.112331822514534,
      0.0482043325901031,
      0.14094677567482,
      0.336350053548813,
      0.481694340705872,
      0.0735728964209557,
      0.0254192594438791,
      0.197589993476868,
      0.385102480649948,
      0.569096922874451,
      0.162221133708954,
      0.0945779457688332,
      0.261140406131744,
      0.404930353164673,
      0.438131004571915,
      0.148235246539116,
      0.196892485022545,
      0.359126478433609,
      0.161465242505074,
      0.0244721323251724,
      0.042050413787365,
      0.0276644118130207,
      0.0391140878200531,
      0.0351269505918026,
      0.0629792064428329,
      0.138694927096367,
      0.0590147748589516,
      0.0508286468684673,
      0.0568216145038605,
      0.0488916002213955,
      0.138208955526352,
      0.0754459649324417,
      0.0632330477237701,
      0.0463725551962852,
      0.0628937780857086,
      0.0226134974509478,
      0.00566514860838652,
      0.00783749856054783,
      0.04747049883008,
      0.0349344685673714,
      0.0891070440411568,
      0.0465631261467934,
      0.231491878628731,
      0.162320882081985,
      0.11601098626852,
      0.168979540467262,
      0.0391692146658897,
      0.222266465425491,
      0.310356736183167,
      0.0697379857301712,
      0.146601274609566,
      0.149530738592148,
      0.292562514543533,
      0.282236278057098,
      0.0769811272621155,
      0.104286558926105,
      0.0126065369695425,
      0.0864676162600517,
      0.432054847478867,
      0.0958531424403191,
      0.0396963395178318,
      0.3283731341362,
      0.430576294660568,
      0.385961443185806,
      0.11524099111557,
      0.0613941736519337,
      0.38470321893692,
      0.464090913534164,
      0.341644734144211,
      0.152940839529037,
      0.0582493282854557,
      0.438534766435623,
      0.477030456066132,
      0.29254937171936,
      0.083035372197628,
      0.00804366357624531,
      0.513168752193451,
      0.464613705873489,
      0.183627277612686,
      0.0722393915057182,
      0.00703911110758781,
      0.45412740111351,
      0.438600212335587,
      0.162391752004623,
      0.0989566594362259,
      0.0412354469299316,
      0.467370748519897,
      0.472246080636978,
      0.165751829743385,
      0.115744829177856,
      0.0747061669826508,
      0.450830072164536,
      0.482306182384491,
      0.16890960931778,
      0.101061187684536,
      0.155254036188126,
      0.374101519584656,
      0.402068644762039,
      0.093184232711792,
      0.0815953612327576,
      0.285328358411789,
      0.307588160037994,
      0.432981729507446,
      0.0979577377438545,
      0.0851589664816856,
      0.295176893472672,
      0.295662105083466,
      0.354058474302292,
      0.163764804601669,
      0.123142138123512,
      0.369059532880783,
      0.388442605733871,
      0.289129763841629,
      0.0965166091918945,
      0.00332998484373093,
      0.391036450862885,
      0.455614507198334,
      0.31766015291214,
      0.119295455515385,
      0.0206066183745861,
      0.40524098277092,
      0.457021474838257,
      0.165542319417,
      0.171600058674812,
      0.0539761483669281,
      0.429162681102753,
      0.46252316236496,
      0.184252738952637,
      0.124947644770145,
      0.021690733730793,
      0.501374781131744,
      0.505155086517334,
      0.192531064152718,
      0.0938856899738312,
      0.0137462308630347,
      0.000289602263364941
    ],
    "vocal_centroid_curve": [
      0.275921752937584,
      0.237311512414907,
      0.154787692348458,
      0.158888333586687,
      0.210219783836689,
      0.181908074680236,
      0.232584647949542,
      0.237822198797943,
      0.256439487735853,
      0.289206009709949,
      0.195123104522018,
      0.200720040250183,
      0.23354622503657,
      0.180639765088763,
      0.236696565378383,
      0.213830136701386,
      0.183017598817726,
      0.174466191068233,
      0.203833862976996,
      0.188777687356359,
      0.175085021659324,
      0.24364456005156,
      0.183002040674991,
      0.195683562627436,
      0.16361679307661,
      0.210231805620555,
      0.190275447090247,
      0.231967735168094,
      0.235165154562428,
      0.221465203926776,
      0.200106186434423,
      0.18943505653589,
      0.222616698419101,
      0.200826242220476,
      0.205283328963672,
      0.197135089212147,
      0.176394498790123,
      0.204004186262339,
      0.196702307530291,
      0.209722858414126,
      0.204630469138551,
      0.206085909638451,
      0.216349693164107,
      0.234328216810501,
      0.186760948412827,
      0.205641856291876,
      0.189392073781258,
      0.20011263081383,
      0.216966530590418,
      0.182683407199039,
      0.18454420292605,
      0.162787721574356,
      0.173733710288459,
      0.216952998823205,
      0.198014978226631,
      0.198719066356704,
      0.186180125285132,
      0.217153128277978,
      0.243491711156606,
      0.19971211288057,
      0.177196586877801,
      0.176771630997915,
      0.192613742467635,
      0.183017468094395,
      0.178913723196815,
      0.174988706401829,
      0.180461651360918,
      0.202138920443941,
      0.196245132863383,
      0.197141724834146,
      0.191861839113355,
      0.180652246142106,
      0.192669367424559,
      0.203692465627627,
      0.196399872247493,
      0.180983262664759,
      0.151076257600388,
      0.245154591792334,
      0.172815862439597,
      0.19864539051267,
      0.254449020094201,
      0.191742953376083,
      0.223541719854334,
      0.308108498352899,
      0.227627686923653,
      0.226798895534957,
      0.244178568548572,
      0.220162583507077,
      0.330882870131465,
      0.253611751807549,
      0.200022315589604,
      0.24933964901227,
      0.188891919590722,
      0.217209793759867,
      0.224957678807857,
      0.177200852344884,
      0.223407842712174,
      0.171103655368739,
      0.202134379693268,
      0.206860002972882,
      0.254264341930435,
      0.175417215623792,
      0.169430678436463,
      0.303055825837673,
      0.274486577788272,
      0.184353071374752,
      0.210513934862516,
      0.199568278629138,
      0.35012063127485,
      0.252121569617247,
      0.176286098582663,
      0.184669243863159,
      0.204482806909438,
      0.230172521338542,
      0.277667143973206,
      0.174517061185895,
      0.184687292626485,
      0.172283264115459,
      0.151518642720725,
      0.217189472275206,
      0.23939832582983,
      0.232538852264644,
      0.178862285167549,
      0.161585092525654,
      0.211709223402302,
      0.173115080541328,
      0.211901409135175,
      0.204124011554455,
      0.157054255708641,
      0.160558681022046,
      0.205362875845258,
      0.179863053911676,
      0.171497614541417,
      0.132519819539722,
      0.156700749092135,
      0.177688820887206,
      0.125817647938597,
      0.133197528014154,
      0.179587534889618,
      0.187319296234749,
      0.214766793148261,
      0.244157006569352,
      0.173211728619115,
      0.194486407146208,
      0.154780976571434,
      0.183762753175084,
      0.211802733833039,
      0.179287700143234,
      0.134130329266521,
      0.151471076858702,
      0.188670939938039,
      0.183087142844668,
      0.162581671831298,
      0.19206650273781,
      0.14489113163483,
      0.175565833094902,
      0.163244567395441,
      0.173721128739779,
      0.152045989112517,
      0.132019127136406,
      0.168653404767383,
      0.173026379751253,
      0.192180274099432,
      0.200181703802235,
      0.221367015579291,
      0.261146741631019,
      0.204296738801868,
      0.192349282036409,
      0.181139484877385,
      0.19707425585023,
      0.192050839903929,
      0.182656592811034,
      0.172569910368899,
      0.159887447641388,
      0.179803597562012,
      0.157605343721662,
      0.16283383110915,
      0.202840190864793,
      0.155993740164153,
      0.166304755492001,
      0.167087178563948,
      0.135789086760274,
      0.211622850015529,
      0.184208260495847,
      0.21456957837425,
      0.234290089584051,
      0.161753600486401,
      0.192280621236107,
      0.211726846225238,
      0.172132026769926,
      0.187317321591238,
      0.173841109944818,
      0.175373998738437,
      0.176855008269516,
      0.195440937161017,
      0.177596395232158,
      0.163196768524265,
      0.195515450259715,
      0.203280175052786,
      0.205185543773628,
      0.211502099659432,
      0.179334131534171,
      0.190940768002879,
      0.185048499065801,
      0.189752812453919,
      0.188989300823765,
      0.194855930452918,
      0.175279431290706,
      0.151873192949086,
      0.172442803271121,
      0.191356656696832,
      0.210346971123007,
      0.162118868841135,
      0.176699341952408,
      0.214312398417839,
      0.2054194813681,
      0.177140595456461,
      0.175496626152703,
      0.170164480395657,
      0.183288487660046,
      0.166051257258479,
      0.18250567675071,
      0.163242500086209,
      0.191055928726917,
      0.198325964532439,
      0.172755422430402,
      0.18245448451149,
      0.162224759673829,
      0.184098691664124,
      0.196553926726747,
      0.165433828850783,
      0.170719397055784,
      0.126685191089104,
      0.146760555455067,
      0.186398585669943,
      0.199486348168187,
      0.232730150215609,
      0.203111826397153,
      0.26137405043776,
      0.179927417925088,
      0.317827658575803,
      0.341756518360464,
      0.286388586836833,
      0.204634465420401,
      0.179902663022919,
      0.295470180948498,
      0.257916508840286,
      0.190746052810814,
      0.185944624551076,
      0.203888682721516,
      0.233440633930922,
      0.173985322288322,
      0.199730490919259,
      0.177733048759967,
      0.172048416361844,
      0.163187735553452,
      0.200339200756897,
      0.242387504508526,
      0.273667481207918,
      0.199190043739021,
      0.27160655989957,
      0.250735879117621,
      0.171988839598828,
      0.191109024140295,
      0.187039473627027,
      0.21501176178385,
      0.174584066800336,
      0.188640156634694,
      0.194017504785341,
      0.272104620407669,
      0.181591431946612,
      0.210949861919739,
      0.189026141558224,
      0.194752082514749,
      0.248599160493333,
      0.172639215024141,
      0.168235342439913,
      0.219636466200719,
      0.181060002490175,
      0.233348245381786,
      0.221401699681055,
      0.193696730732009,
      0.21428141072466,
      0.146292248893855,
      0.162127183504363,
      0.175601730862785,
      0.205496836440572,
      0.190196177826006,
      0.179179816063829,
      0.18084471134821,
      0.151427502509992,
      0.135029973685913,
      0.169279989255634,
      0.137139658405397,
      0.15307046410305,
      0.215846516861043,
      0.173789954818691,
      0.225745929564789,
      0.20878953253006,
      0.193665992365178,
      0.193483451564054,
      0.163767826971604,
      0.179763576138681,
      0.198799525635498,
      0.161934690946527,
      0.147701143216896,
      0.161053645442612,
      0.174434977141231,
      0.161856116952031,
      0.177939591804363,
      0.167843542363948,
      0.154050168003959,
      0.16099952631951,
      0.157034014287948,
      0.178361931037294,
      0.123340591349924,
      0.147001282178002,
      0.180395725075805,
      0.146529586583562,
      0.228684082406277,
      0.22532786122399,
      0.240843724083949,
      0.276027053777176,
      0.175577029914199,
      0.196797849227577,
      0.209842334873551,
      0.160572164537257,
      0.211958585740286,
      0.161239766214139,
      0.166790154321227,
      0.153823140478183,
      0.194676472923761,
      0.169587943109108,
      0.155291744622468,
      0.203729654248345,
      0.159980196463635,
      0.18464441005031,
      0.137573577464892,
      0.187756291381431,
      0.175388124231504,
      0.198639674490856,
      0.216988287251119,
      0.196090436976684,
      0.193924611633278,
      0.186875613794322,
      0.203222295918244,
      0.191650579427606,
      0.159370791699253,
      0.188663056217959,
      0.175852875948037,
      0.164091325627971,
      0.183916963799739,
      0.153304991885048,
      0.187754585075583,
      0.188790151915294,
      0.193050825945965,
      0.19938223692552,
      0.178503198283061,
      0.187695850337938,
      0.176409609247415,
      0.191953539282425,
      0.205253455455603,
      0.179030359325207,
      0.186325605574978,
      0.166871244662682,
      0.195613497996533,
      0.216519877456562,
      0.182724337981587,
      0.177747225465581,
      0.169332779279514,
      0.196641209177956,
      0.215134678610615,
      0.18910463561234,
      0.17781606372283,
      0.179497494055635,
      0.190334432093186,
      0.189066631125064,
      0.178968147212346,
      0.178605136911993,
      0.182303004924389,
      0.196101774223628,
      0.192679568062251,
      0.187218680046343,
      0.18311817064198,
      0.170828116194465,
      0.187259741782128,
      0.193700685278926,
      0.182129222498328,
      0.165046163829032,
      0.143417350277004,
      0.173685302670724,
      0.177019323103961,
      0.213690921483415,
      0.192999372072196,
      0.175669726586641,
      0.198033668327184,
      0.161593711428981,
      0.246769420813475,
      0.217204139898412,
      0.219700814587246,
      0.178966119865401,
      0.229728789591238,
      0.205487543442358,
      0.239686092471752,
      0.188426568615162,
      0.19145530713447,
      0.179252667794323,
      0.201924419438858,
      0.242137481866757,
      0.181953470570244,
      0.172671308851284,
      0.293968672878912,
      0.20402509107797,
      0.171157653379034,
      0.180435143536208,
      0.201403964927303,
      0.191463926287465,
      0.205484367824841,
      0.176068267788669,
      0.253483069612646,
      0.173946079213873,
      0.209338826022106,
      0.19190847297457,
      0.198554197052964,
      0.171621430098805,
      0.17247116546173,
      0.233355795631286,
      0.151194518651398,
      0.291613321927978,
      0.236477585736687,
      0.219882272720636,
      0.147943316324503,
      0.191934160988934,
      0.162046382173489,
      0.165621440505579,
      0.186981565850122,
      0.162702521583128,
      0.19358053260131,
      0.147899151879902,
      0.154822530398656,
      0.154007027640617,
      0.160063846886009,
      0.172829929923983,
      0.157209802643224,
      0.168365889033993,
      0.177033459980102,
      0.172075367036207,
      0.200958281221919,
      0.197630926680318,
      0.235216250245126,
      0.171185285726825,
      0.183116161972573,
      0.192159388835852,
      0.184197176366638,
      0.20222204089253,
      0.143791246450689,
      0.191019377273624,
      0.181259845520763,
      0.185730828701545,
      0.169216151019666,
      0.148998262580122,
      0.18918562485945,
      0.161811977410081,
      0.16249333129605,
      0.157314394272446,
      0.189248036439822,
      0.317083281936954,
      0.424830229548487,
      0.451260688085874,
      0.453148982335577,
      0.451139603495392
    ],
    "drums_centroid_curve": [
      0.440171664736501,
      0.411305139732688,
      0.380613499152943,
      0.384625714514772,
      0.430507930959249,
      0.396774363687114,
      0.410038257799451,
      0.417685647336526,
      0.416399249672481,
      0.443295313758776,
      0.403924117510613,
      0.383746649793081,
      0.356969195181201,
      0.353132518768668,
      0.434566206062113,
      0.419498160055558,
      0.394439559280872,
      0.389645814053425,
      0.400087783605941,
      0.413276641809956,
      0.382373097547591,
      0.425177143448564,
      0.361639186121189,
      0.343149896815945,
      0.360797219885398,
      0.400188300172909,
      0.413256543630017,
      0.401547822993328,
      0.41210057906948,
      0.41361780307563,
      0.400173824049006,
      0.410517221662332,
      0.411005971267054,
      0.361164295390611,
      0.340413797350504,
      0.364929781556225,
      0.392580445493758,
      0.394889839267012,
      0.395513952945583,
      0.413400397192711,
      0.378553528925806,
      0.353663191200386,
      0.249379814498154,
      0.408950650111321,
      0.280972234208219,
      0.335943658465064,
      0.321238040026834,
      0.327466764448723,
      0.446657232994542,
      0.315367604921215,
      0.40668693801417,
      0.347612955349966,
      0.37780738547186,
      0.440037871179785,
      0.300797141712855,
      0.324200654307713,
      0.299423896808907,
      0.319718861060199,
      0.438389269501289,
      0.2176910668378,
      0.342608733571868,
      0.30125818448301,
      0.368157378217266,
      0.36248025793794,
      0.284500900518291,
      0.336767475315767,
      0.277518040881989,
      0.270467839922122,
      0.308102748394515,
      0.277129646523926,
      0.338572277226685,
      0.295636349559274,
      0.357430361456124,
      0.344787035477325,
      0.310988224680194,
      0.357208989783748,
      0.261111781179919,
      0.448045334348252,
      0.322109318193977,
      0.19513987963136,
      0.310188704597313,
      0.283026778486006,
      0.371848792433073,
      0.277990913908253,
      0.480407143602451,
      0.298721788333427,
      0.366079013231906,
      0.395471350698981,
      0.325163857951813,
      0.3378289074476,
      0.214594735703725,
      0.164999971999854,
      0.388054456296116,
      0.329170246189995,
      0.473715275060281,
      0.254802288383958,
      0.18367950165032,
      0.392242011297928,
      0.327092425981653,
      0.397267763936132,
      0.2708919155616,
      0.324577920213813,
      0.409011407576639,
      0.348031664262897,
      0.372732526291465,
      0.268910545047962,
      0.363616219123158,
      0.391566424427257,
      0.375796367384954,
      0.372366064157234,
      0.22301420038198,
      0.364186346319261,
      0.359500709092172,
      0.421842885798465,
      0.433950031246312,
      0.346805816132674,
      0.390707878633562,
      0.348442893267129,
      0.221068768189592,
      0.289244394574967,
      0.284606210081671,
      0.28353031427862,
      0.297694377087666,
      0.420536897224543,
      0.232345895720683,
      0.27203033438072,
      0.269595637575152,
      0.334860458536036,
      0.409381789213473,
      0.206437049228796,
      0.222518359680981,
      0.349739011595468,
      0.355715610117387,
      0.416911203956512,
      0.248950824517512,
      0.171433133323599,
      0.412048229806396,
      0.35461535745185,
      0.42391803731745,
      0.373131783528652,
      0.363026366653187,
      0.451610294229251,
      0.311617440737684,
      0.348362691741066,
      0.278504721008394,
      0.308106058536016,
      0.389725398527819,
      0.290551817537146,
      0.349283664176018,
      0.27744186248925,
      0.356073163300244,
      0.365462542188662,
      0.305324068716796,
      0.325741550699777,
      0.290452536979955,
      0.395928899455282,
      0.378135401583528,
      0.301891996769379,
      0.338683301645186,
      0.316150593953083,
      0.32457669975932,
      0.372713862537954,
      0.416280729516652,
      0.369312094302193,
      0.322185706462037,
      0.341310090034171,
      0.335884911396147,
      0.418089417115207,
      0.150657169081932,
      0.209164776023048,
      0.323545039139804,
      0.344323586327311,
      0.473472876531235,
      0.306130301641124,
      0.188839296177384,
      0.338507800759416,
      0.322084559325543,
      0.366864692143905,
      0.316312227998241,
      0.346978523424578,
      0.408417401804681,
      0.370564244925223,
      0.42097308846998,
      0.338825152456225,
      0.382190216903383,
      0.416202285525996,
      0.347843557917334,
      0.271952380785076,
      0.215535444497705,
      0.396760326585653,
      0.431871687901203,
      0.355378106923252,
      0.397237806313925,
      0.317055730375747,
      0.423170651100703,
      0.356986497779288,
      0.250030129285557,
      0.261290436422078,
      0.28177732202965,
      0.327198647458009,
      0.344484341275412,
      0.338327340130048,
      0.376127478811819,
      0.287742693293498,
      0.374894653717305,
      0.33368694155698,
      0.365782740095575,
      0.351485506674254,
      0.328706326695548,
      0.432607804264026,
      0.324587849214296,
      0.367641221205997,
      0.369329584038338,
      0.318855057796085,
      0.380522755702011,
      0.308520142042232,
      0.305080992659966,
      0.329406481767267,
      0.336552097591429,
      0.348369909323027,
      0.283469840902923,
      0.352798150221311,
      0.306589752501138,
      0.308390115631897,
      0.335735498269192,
      0.299429326651797,
      0.327215507404169,
      0.321503916805924,
      0.345263640376191,
      0.355145523363033,
      0.300955494000464,
      0.35974235007857,
      0.31996193585324,
      0.400238338420676,
      0.425732468409313,
      0.211038801753419,
      0.246806236051895,
      0.278507174065385,
      0.302482399736105,
      0.386694371373714,
      0.380658492832781,
      0.347250179521429,
      0.209820651939722,
      0.252162894193362,
      0.362774510217623,
      0.410853215664372,
      0.20657628413396,
      0.192679486707075,
      0.225268545558572,
      0.359572071746175,
      0.387942520229759,
      0.370316397717469,
      0.21183651411847,
      0.237351309173906,
      0.323141479529112,
      0.48283953467926,
      0.337104885422451,
      0.310298297859449,
      0.379911802660203,
      0.304632391181093,
      0.471773684515391,
      0.308306558825037,
      0.298427371843947,
      0.360103435655563,
      0.283934168882024,
      0.445888523492455,
      0.278688906182107,
      0.373763468230676,
      0.389406392332529,
      0.333606812094586,
      0.471193882700453,
      0.362104511120307,
      0.389895662227347,
      0.38443909923394,
      0.248543540959887,
      0.231666417943345,
      0.305002269257985,
      0.319261822593225,
      0.385071618970502,
      0.306788079439221,
      0.415303535591156,
      0.244932408508543,
      0.366175255372839,
      0.389465523829237,
      0.351321172589291,
      0.239342886621168,
      0.189230181833415,
      0.194811205332159,
      0.36244904908314,
      0.37977647062714,
      0.396126095467629,
      0.195777456563112,
      0.16979228640418,
      0.342044578516585,
      0.405327468762274,
      0.351158259571602,
      0.30487490288197,
      0.348117823447438,
      0.305360173265978,
      0.343630504530802,
      0.330477573876436,
      0.296472422159175,
      0.33797335559962,
      0.297091703716347,
      0.33648883307634,
      0.330341936646693,
      0.317312146689862,
      0.313411281487507,
      0.301945593695226,
      0.368126842247923,
      0.327356255815801,
      0.389189878177017,
      0.37242039669883,
      0.309973311518921,
      0.344962937686258,
      0.319755696110561,
      0.313139445893115,
      0.461943206558934,
      0.351049725221472,
      0.344877090180401,
      0.252367547986735,
      0.286043781663168,
      0.40723325243395,
      0.344648951003898,
      0.280428596504026,
      0.199147039585937,
      0.196308774515888,
      0.412187778372545,
      0.366444032033513,
      0.416448541889662,
      0.21001400786886,
      0.268104179291663,
      0.406053306023883,
      0.386623152371819,
      0.362737911011141,
      0.311622873089986,
      0.374380169300983,
      0.37640830101114,
      0.391170802886518,
      0.349749100487218,
      0.322884267831393,
      0.334842974329204,
      0.354078126555432,
      0.350943833110604,
      0.301263529334763,
      0.335132554472505,
      0.404475467867277,
      0.342313039699143,
      0.438717828462166,
      0.339634264594335,
      0.357455492346381,
      0.354687717217831,
      0.280914134621511,
      0.223237142040945,
      0.314407216059991,
      0.194673030027982,
      0.3236674633719,
      0.257596726708188,
      0.330364171348029,
      0.288126561398137,
      0.248900736005134,
      0.288310463202511,
      0.242421481003985,
      0.131511390480476,
      0.181698313006242,
      0.12904122371002,
      0.369508580879959,
      0.306255756804588,
      0.379502598134862,
      0.214682398230668,
      0.13383266927366,
      0.391542950825268,
      0.294187054611235,
      0.357356760728704,
      0.277723980706077,
      0.333497000774114,
      0.34144710075637,
      0.269638702845417,
      0.301612370965453,
      0.285009583075585,
      0.29912927555301,
      0.328052646688113,
      0.273345352035716,
      0.326533950293557,
      0.280048669074481,
      0.354900892428184,
      0.363880563518937,
      0.364735462327266,
      0.398389164760839,
      0.282041308224311,
      0.540922156160702,
      0.374901864790217,
      0.194612105462493,
      0.316760885945994,
      0.274572399812254,
      0.335718323833792,
      0.290963490947608,
      0.418705237739052,
      0.250803445618582,
      0.270409473057454,
      0.372661396769498,
      0.329791555796675,
      0.390717275180419,
      0.234205526463972,
      0.235121726985792,
      0.379340792603882,
      0.324875074113552,
      0.403911895256023,
      0.296859579950689,
      0.261466807536977,
      0.404251040445745,
      0.340425723427719,
      0.385554582938317,
      0.301746304309532,
      0.369727841947439,
      0.430471493763803,
      0.355019063788272,
      0.332892535759993,
      0.25282987779126,
      0.354801106732545,
      0.399256093187366,
      0.400694507347443,
      0.360520086664589,
      0.257266315392689,
      0.438681766631068,
      0.385459915342205,
      0.383110817201501,
      0.42585185533106,
      0.342747003319521,
      0.403407404242736,
      0.336406076423149,
      0.249043426216818,
      0.374936594153186,
      0.28010414970116,
      0.411766908313065,
      0.335428463374203,
      0.350041984911837,
      0.395661986241725,
      0.253027867751914,
      0.34148892798195,
      0.299996081153937,
      0.361190119712073,
      0.356948292092353,
      0.3131304468142,
      0.416831783310903,
      0.302959696476552,
      0.279657577771588,
      0.317125650654366,
      0.302797560048574,
      0.402031869267071,
      0.239704844439381,
      0.188023313597535,
      0.347606571772161,
      0.330661980212221,
      0.444081176383798,
      0.317233806086954,
      0.333296922784215,
      0.337333046926948,
      0.313682361621908,
      0.408141007963179,
      0.295543737608111,
      0.298195906649034,
      0.316053602760436,
      0.357060390922111,
      0.461652841896467,
      0.466191396408313,
      0.44690566150306,
      0.518836375334107,
      0.575545587128715,
      0.553426504224665,
      0.50572585024472
    ],
    "bass_centroid_curve": [
      0.410868549756716,
      0.390947647226948,
      0.388891809894638,
      0.393715567171748,
      0.446846295907332,
      0.416411372187044,
      0.405322115304129,
      0.3626709847809,
      0.382574147233863,
      0.445102183139466,
      0.399214095005537,
      0.350144768542014,
      0.338816177160821,
      0.357972240115567,
      0.456971571570772,
      0.415970009296387,
      0.371341563354168,
      0.407795406034552,
      0.382821462142885,
      0.428375905188365,
      0.375912937359998,
      0.399165024208582,
      0.334517464589593,
      0.346437084076324,
      0.364864156816484,
      0.399449675091875,
      0.40076432284243,
      0.376289450868435,
      0.39545011632145,
      0.440540421439133,
      0.38522827312871,
      0.40028660948417,
      0.396676172047952,
      0.336462988774389,
      0.345962356688807,
      0.354072280529145,
      0.386986975861243,
      0.380105492954046,
      0.377529520777573,
      0.430536455911174,
      0.388962875832804,
      0.364251805875993,
      0.373736075702464,
      0.405881676612699,
      0.312468388553283,
      0.301980679971404,
      0.356220246684213,
      0.431967462640874,
      0.455623749851896,
      0.390398838176112,
      0.415673496790503,
      0.487477903807566,
      0.430673350531257,
      0.422049132556514,
      0.416355025564909,
      0.333008469209688,
      0.314710828247568,
      0.373185764833779,
      0.4198502783935,
      0.398840861381027,
      0.343775503054781,
      0.366493328584455,
      0.442548587251903,
      0.386455464799166,
      0.379663888882434,
      0.401192652454294,
      0.326684028602815,
      0.314380457903149,
      0.350312664137083,
      0.356419450670274,
      0.380469527157321,
      0.365148926049775,
      0.361248351551577,
      0.408732271204653,
      0.42153922833081,
      0.439452328334423,
      0.41864748027416,
      0.397817026340422,
      0.350250241323595,
      0.236866842208434,
      0.00761125938668405,
      0.0105878783214327,
      0.0069565725641301,
      0.015340253841943,
      0.0198845030016305,
      0.00762362415668064,
      0.00625417903378927,
      0.00590693283072579,
      0.00790859616644156,
      0.00842578247440009,
      0.00887274215956382,
      0.00853369720574206,
      0.00781663963139352,
      0.0174427203454843,
      0.0363070346422464,
      0.0343323568245879,
      0.00791725345540618,
      0.00878996713903243,
      0.0142379864220061,
      0.00912207067247184,
      0.00574226488707052,
      0.00748142674329577,
      0.00726603979205566,
      0.0166493434201658,
      0.013135136864969,
      0.00698504781759576,
      0.00808563608765456,
      0.00779793547986565,
      0.0153686553318598,
      0.0107582545287814,
      0.00576899830007692,
      0.00680890867670565,
      0.0147509201679261,
      0.00683179599108069,
      0.0106668619294612,
      0.0217204465997393,
      0.0445233704715227,
      0.135386344726859,
      0.322824741991468,
      0.00740685688390792,
      0.00734636191931089,
      0.00584052624900108,
      0.00916136198221214,
      0.0197383050436759,
      0.00771746766675859,
      0.00780824555806286,
      0.00630727485206396,
      0.00930000037948746,
      0.0178221268435782,
      0.00777222745800099,
      0.00896455481912206,
      0.00700741814922822,
      0.0101845956225443,
      0.0216322020450883,
      0.050204527413908,
      0.00874720835010837,
      0.00734696085839741,
      0.0138105766711489,
      0.126925808877523,
      0.311109632114294,
      0.322340990875784,
      0.303514455617196,
      0.293937083780102,
      0.269606709385442,
      0.27716748780371,
      0.333999910983755,
      0.376128119774075,
      0.428560517815965,
      0.370015038196223,
      0.404218005372599,
      0.413910663047307,
      0.395017613115626,
      0.494823048705256,
      0.385866044780372,
      0.355309115743881,
      0.405397847084636,
      0.39070161610974,
      0.359696437930133,
      0.0150424089296099,
      0.0073484104405316,
      0.00917308899605411,
      0.010731896139904,
      0.0198211700998175,
      0.0081407868478321,
      0.00737101673780424,
      0.0046849115482943,
      0.00739890272695132,
      0.0158470903667595,
      0.00726595350907269,
      0.00836063464566535,
      0.00902728450450895,
      0.0130421608752094,
      0.0284090324033419,
      0.046807355058302,
      0.00774110999366033,
      0.0066945026003918,
      0.00936503344243319,
      0.0147164513877441,
      0.00776437367177081,
      0.00826174643423181,
      0.00986271527748088,
      0.014586418543823,
      0.0169445369102407,
      0.00694086303153121,
      0.00961552781036609,
      0.00770618823803432,
      0.0108425087147924,
      0.00849670293342841,
      0.00846391745116282,
      0.0088029473551372,
      0.0122603386796286,
      0.0109225475570405,
      0.0111623123831514,
      0.0163884853551677,
      0.0355530261386806,
      0.0748477709826497,
      0.332286662421968,
      0.306518401841699,
      0.283637161623466,
      0.292644795291873,
      0.397530730966854,
      0.366544416403629,
      0.44864976943951,
      0.379688148306642,
      0.417764939704094,
      0.383659551988729,
      0.424982377211201,
      0.461104073081033,
      0.335397527232985,
      0.299876488459451,
      0.366636376971139,
      0.440409833130617,
      0.359829925629889,
      0.388716043406548,
      0.426351715739564,
      0.358186566464732,
      0.386483901338554,
      0.368475594808672,
      0.465036366470633,
      0.346533418679563,
      0.289389330728223,
      0.318248001390605,
      0.34345895891081,
      0.348948840596216,
      0.379290126014836,
      0.373459709002206,
      0.368624834714259,
      0.407779643334804,
      0.401846020447274,
      0.457058254797199,
      0.336230393850461,
      0.301899139347445,
      0.364037328915039,
      0.381004638720104,
      0.365070252365232,
      0.334073417005931,
      0.0959164899940635,
      0.00691632395403488,
      0.00820669642078782,
      0.00873576206655219,
      0.0147921814280946,
      0.00781287004439343,
      0.00519806109312444,
      0.00635917347075903,
      0.0072382539179842,
      0.0118148004118006,
      0.0129438759013368,
      0.0102523113510318,
      0.00802865608786766,
      0.0129794694253917,
      0.0236782507801641,
      0.05119084026218,
      0.00579025736335278,
      0.00464588499694112,
      0.0102343802919197,
      0.020148307631885,
      0.0072613822064168,
      0.00795853662401947,
      0.00688018845820414,
      0.0128700216578052,
      0.0188675178671548,
      0.00736533575243078,
      0.00749758379438919,
      0.00534027570148076,
      0.00763030734545223,
      0.0127791500301836,
      0.00950123588139618,
      0.00750066992318365,
      0.0121961129759898,
      0.0114660599105443,
      0.00809480898474948,
      0.0144652410932587,
      0.0284860197050735,
      0.0675087367951997,
      0.224919232413436,
      0.111375350022184,
      0.00665197488573962,
      0.00747141715145624,
      0.00832174196099624,
      0.0166835221350632,
      0.0148245546261464,
      0.00748240405511067,
      0.00657605110848925,
      0.00685799678455234,
      0.012361345047371,
      0.00755054357035689,
      0.00545791662918919,
      0.0072795793858714,
      0.0111177989382081,
      0.0207310887239826,
      0.0504177616416309,
      0.0333490407006192,
      0.00855797219698539,
      0.0134444588055986,
      0.0157524091050832,
      0.284453202261389,
      0.280417586705452,
      0.277401959361712,
      0.324602634310628,
      0.362694594686471,
      0.386269732040762,
      0.356547628903062,
      0.326054797642231,
      0.384800773683558,
      0.410124068334635,
      0.422348181529242,
      0.33318120305286,
      0.315165344662837,
      0.30796726117137,
      0.397422285095339,
      0.356103422035336,
      0.346770246767669,
      0.354288508963391,
      0.337362485545876,
      0.175374599133259,
      0.00717082431996636,
      0.00766097552636105,
      0.00797990466599778,
      0.0114511018282949,
      0.0117636925868728,
      0.007143531164645,
      0.00946536750469484,
      0.00839224535648264,
      0.00998256849789756,
      0.0136198438363813,
      0.00777833181190577,
      0.00900154601924874,
      0.0107119043150449,
      0.020003727075507,
      0.0341832539282481,
      0.011227482665554,
      0.00669413980327863,
      0.0107222613157924,
      0.0208991919016368,
      0.0091678793020011,
      0.00740523271020966,
      0.00773352553421972,
      0.0109766096336945,
      0.0207931748857425,
      0.00826481686968705,
      0.00545046782881087,
      0.00582864115953768,
      0.00917328362518293,
      0.0156723043318084,
      0.00825343914478509,
      0.00969050810470431,
      0.012095148560284,
      0.0137749682999853,
      0.0106252554458295,
      0.0119752460168684,
      0.021548472823007,
      0.0436941454005585,
      0.163540848791647,
      0.223497054683313,
      0.00686884326525184,
      0.00843423649790551,
      0.00873595906570414,
      0.0142923836878558,
      0.0168173509267349,
      0.00637577948034611,
      0.00721723272421707,
      0.00541074903862607,
      0.00677647289662641,
      0.00861140355117836,
      0.00836024324725697,
      0.010086905667928,
      0.0116329403361428,
      0.0179364446124922,
      0.0347111317301719,
      0.0303753877356575,
      0.00789209603787818,
      0.00834116618127328,
      0.0117254251152215,
      0.146679631444423,
      0.319634164853003,
      0.45996829002,
      0.382372643720417,
      0.415672600911392,
      0.396861640943215,
      0.392947074411552,
      0.415696703641126,
      0.398802144377563,
      0.461232434308288,
      0.335733237150775,
      0.269524169282963,
      0.299394048440709,
      0.413312736483624,
      0.302240505707381,
      0.337029389893714,
      0.32684435909105,
      0.345653365030827,
      0.31997852100216,
      0.247821795792727,
      0.00835025288651777,
      0.00780066433249449,
      0.00555885594687951,
      0.0105576816553609,
      0.0227458116906828,
      0.0090791173750341,
      0.00784193933435031,
      0.00627971921008244,
      0.0111207962292451,
      0.0151981177168319,
      0.00806665589230881,
      0.00738753316538853,
      0.00664578752110712,
      0.0118102244219303,
      0.0260074788474367,
      0.0353240205015712,
      0.00741855203618965,
      0.00864332153243762,
      0.017658022522367,
      0.0185313259226497,
      0.00844019652859926,
      0.00775430826070739,
      0.00824395473779954,
      0.013817749817487,
      0.00889855664885681,
      0.00624214064324611,
      0.00801634266119194,
      0.0081536286502598,
      0.0174185831570624,
      0.0245750927952045,
      0.0105995563105308,
      0.0106547195556916,
      0.0209226096323603,
      0.00925547277689545,
      0.00857351631751364,
      0.0159096219467243,
      0.0223959076285701,
      0.136414330168149,
      0.339308150286349,
      0.36673941024537,
      0.36657548490818,
      0.425093336635901,
      0.364398668830477,
      0.416539843340802,
      0.397178497849527,
      0.343921942294572,
      0.304730840934424,
      0.341668888853737,
      0.397414321663051,
      0.41130900828834,
      0.460751086374963,
      0.466486338077967,
      0.394215660287386,
      0.418690798209744,
      0.401974522638639,
      0.467030784369462,
      0.407734727458299,
      0.288481897097095,
      0.377427545718004,
      0.358709278925941,
      0.395330542981572,
      0.449982182728407,
      0.378107124549109,
      0.393543714780917,
      0.394959608809587,
      0.431000809649622,
      0.417234136511756,
      0.317758945651031,
      0.235070797479195,
      0.376496992686217,
      0.43662214490149,
      0.414330492153581,
      0.239894932372017,
      0.260322901615036,
      0.240952478798965,
      0.287608046029342,
      0.385533901065008,
      0.465246802649672
    ],
    "other_centroid_curve": [
      0.352319957867886,
      0.356701350302562,
      0.326299609898793,
      0.327009064606354,
      0.362993847581616,
      0.346643534776003,
      0.366981439198299,
      0.377131488422562,
      0.379726895150429,
      0.382904852141196,
      0.342354416206185,
      0.332431725253229,
      0.347650495678389,
      0.319543728156142,
      0.373418972222284,
      0.35365366155957,
      0.327333092523848,
      0.322983175721746,
      0.345130553630774,
      0.341680724798125,
      0.332567638440342,
      0.3592356340818,
      0.310919489801557,
      0.329930791545176,
      0.331720032163309,
      0.351734739151433,
      0.347711014833895,
      0.359953469983636,
      0.362101633541237,
      0.347834455113262,
      0.339008408311675,
      0.342920963065896,
      0.346500141129682,
      0.32210458048722,
      0.329453534662986,
      0.326346794706298,
      0.315400453892637,
      0.333270765524401,
      0.324323871352675,
      0.329368849258485,
      0.135339848864377,
      0.0476159179829789,
      0.0483192338268323,
      0.107809081069027,
      0.0963204202698342,
      0.0286307206772927,
      0.0939753643629087,
      0.0872156339587981,
      0.1703898996196,
      0.0920245212045727,
      0.0393428484076602,
      0.0958388955796827,
      0.0563678776778817,
      0.162548358190859,
      0.0604070052647202,
      0.0241569700004769,
      0.0600500907140818,
      0.0716394376001725,
      0.213071723363042,
      0.0530884549718292,
      0.0469152752500184,
      0.146305639923189,
      0.0922569960236971,
      0.212643902615672,
      0.056472606410695,
      0.0395851274331411,
      0.0897717870814275,
      0.040494307271096,
      0.0994632525482011,
      0.039143055488755,
      0.0302574250769389,
      0.0903027661125779,
      0.0429077935136197,
      0.0727302584473048,
      0.0367496085621788,
      0.0351271569709293,
      0.0725591977077559,
      0.0451844168717353,
      0.0817416880156594,
      0.0705385043538877,
      0.0627683120067053,
      0.113426661134231,
      0.21232158280186,
      0.153531872709312,
      0.0548688226641855,
      0.0695705396117433,
      0.112080924077519,
      0.193632524029139,
      0.135864875984592,
      0.0434928535989238,
      0.0843482093230415,
      0.121733337778794,
      0.202392024781559,
      0.102417073504688,
      0.0479302026084939,
      0.0992482160053244,
      0.217068872570829,
      0.314739216628125,
      0.073178274870358,
      0.0477827410417105,
      0.0834732306446538,
      0.204392286934456,
      0.319418130578518,
      0.0540137204473968,
      0.053624363973382,
      0.0915711455372356,
      0.126546037921608,
      0.252369236984618,
      0.045223371290578,
      0.0503206138898037,
      0.096005917419248,
      0.119203806224358,
      0.215798113274326,
      0.0469462620789197,
      0.0431640615452652,
      0.102353074308132,
      0.117612337695189,
      0.216553645194754,
      0.0668806399343992,
      0.0608429958433211,
      0.137042544809974,
      0.207716480838081,
      0.186302313087881,
      0.057639184137496,
      0.0555554787810353,
      0.105414982244256,
      0.169124907272559,
      0.11233737111503,
      0.065649549955124,
      0.0683836706504903,
      0.115215739691679,
      0.234176509959468,
      0.143953475036989,
      0.0460499097456711,
      0.0981605750956954,
      0.155274212897067,
      0.26353693908512,
      0.10727605655873,
      0.0320982768885349,
      0.0574161143501388,
      0.0755490873133005,
      0.184354196918795,
      0.0818604924447861,
      0.0254006764251578,
      0.0881861658603442,
      0.0635083705156497,
      0.129209596679151,
      0.0423510023169057,
      0.0220923391104486,
      0.0767394811977694,
      0.0456393031600209,
      0.122401892706889,
      0.0341018269968493,
      0.0233665887492063,
      0.0750299735146014,
      0.081108934343633,
      0.275118033099339,
      0.0749629022396724,
      0.0715913787205021,
      0.183365366098372,
      0.160636732634418,
      0.250392157898116,
      0.0617040212975268,
      0.0550200173153564,
      0.165081363375849,
      0.142214539321795,
      0.194628286034242,
      0.0521140398428673,
      0.0474279664723438,
      0.105770187687851,
      0.141426095503519,
      0.167585861661991,
      0.0510357273383918,
      0.0614953254704782,
      0.140942504863659,
      0.292083195716235,
      0.130890296046061,
      0.0498924733227439,
      0.0972312661459939,
      0.146173600784547,
      0.275960924106068,
      0.115665844161079,
      0.0594051124464596,
      0.113811768123376,
      0.221106312130811,
      0.298687670014539,
      0.088944478742593,
      0.0432224593135668,
      0.0790337608543479,
      0.0801610143486235,
      0.156112608198485,
      0.0660610773638477,
      0.0428239714411084,
      0.0739919796973055,
      0.0712925406868781,
      0.091304743891112,
      0.0486064437363026,
      0.0368894580026167,
      0.0640316401273168,
      0.0682214280940955,
      0.193281346521174,
      0.0370727638577712,
      0.0344474835532251,
      0.154232071961512,
      0.113058766389758,
      0.225586808481083,
      0.0470377127139008,
      0.0373892521929958,
      0.108748615993374,
      0.0811030220722527,
      0.150686687092045,
      0.0298558277279531,
      0.0290444295070626,
      0.0806996915571778,
      0.193402218251508,
      0.164351510830654,
      0.0320925927809341,
      0.129744492076756,
      0.131013361249996,
      0.175421761250819,
      0.0877570179953276,
      0.0436437898378864,
      0.0852337752735184,
      0.0574571773314351,
      0.103883616567367,
      0.0891208225789301,
      0.039022914089265,
      0.0845666744642714,
      0.0613528908270245,
      0.0742815207504899,
      0.0553308668137293,
      0.0330799687795148,
      0.0887376488734114,
      0.0737769792261797,
      0.0883573021364567,
      0.0568704849535318,
      0.0580953604005632,
      0.0973626391588063,
      0.124960298452706,
      0.263139205913968,
      0.0496507666606988,
      0.048595689569263,
      0.0766007191971595,
      0.115188728601698,
      0.214449464983344,
      0.0452424738137106,
      0.0473791279630443,
      0.110574084444234,
      0.139175870518495,
      0.265351646235821,
      0.0643819667006817,
      0.0411027441387861,
      0.108697784674272,
      0.260182481435406,
      0.222961985772906,
      0.0501482260053267,
      0.0579844164120666,
      0.126701927179634,
      0.263515680011086,
      0.156423735069569,
      0.0617963587031562,
      0.0643341021087319,
      0.120354534195884,
      0.138504640994149,
      0.0861274065972014,
      0.0493582923728899,
      0.0700598062151425,
      0.0954490794448227,
      0.191744827733012,
      0.115765639532382,
      0.0428141594794416,
      0.0762629456446418,
      0.0876376678140216,
      0.254483477872335,
      0.312479669825076,
      0.157094909097432,
      0.116443515270142,
      0.145351058790849,
      0.285460459674497,
      0.0712510837922311,
      0.0540577707091912,
      0.0884328050777307,
      0.127355968379005,
      0.237917129953282,
      0.0621156396217913,
      0.0600537317052878,
      0.102623638594225,
      0.123822036224196,
      0.264769009394971,
      0.0479643874696262,
      0.0973384712826423,
      0.172686650473371,
      0.132529232134283,
      0.12561585284267,
      0.0498884914446037,
      0.0344922580607041,
      0.0642455211634175,
      0.0793503975783166,
      0.157326503755065,
      0.029756393532113,
      0.0298174233461055,
      0.103695519101805,
      0.0650451548587548,
      0.10472020619527,
      0.0250807036093709,
      0.0332790376428044,
      0.0716784025211006,
      0.0989090456541393,
      0.0692330966699173,
      0.0334500120015229,
      0.0551631003189823,
      0.0868741109961663,
      0.226390080346837,
      0.141664596891205,
      0.0958999909465843,
      0.123939068831149,
      0.166591302676372,
      0.253045157798146,
      0.0945476892157986,
      0.0526071555925842,
      0.113698092217291,
      0.198974431900199,
      0.23491635751914,
      0.0795274881065882,
      0.0478398552573614,
      0.0820002543432195,
      0.110345431808969,
      0.246106244377152,
      0.0503473649296668,
      0.0435063422884387,
      0.07663591254038,
      0.221402741744073,
      0.298550891988331,
      0.0429653014794774,
      0.0586687763180036,
      0.121930776841774,
      0.17444669879319,
      0.239940145306839,
      0.0596435295975955,
      0.0538551462531258,
      0.167502216490847,
      0.210387484328895,
      0.234776542521757,
      0.0553125300735886,
      0.0449850224774563,
      0.0952224354298105,
      0.114431576711263,
      0.177753126414702,
      0.0490819500661274,
      0.0447847708861627,
      0.0881060704262778,
      0.0847237830149546,
      0.0846943174093472,
      0.110092282379782,
      0.216463770445675,
      0.174636870377401,
      0.198313243966542,
      0.204627750313887,
      0.180936676241402,
      0.152046808722364,
      0.0949081930800523,
      0.13949108278699,
      0.173767363249655,
      0.109461958591707,
      0.146680870283068,
      0.0759139567688531,
      0.0945092289358233,
      0.133705513506389,
      0.120005324565301,
      0.137664902729573,
      0.212440177024274,
      0.323918954278238,
      0.317887525891603,
      0.198131356805964,
      0.195029024834148,
      0.183821713000719,
      0.216698501914162,
      0.0968930123453348,
      0.0487952170816184,
      0.112355247456037,
      0.0520629124198916,
      0.173800168504711,
      0.0510183036504229,
      0.0328764166745851,
      0.105552258590903,
      0.0512739524389971,
      0.107372727099208,
      0.042177984181015,
      0.0409508729223046,
      0.103089711918847,
      0.0588604585849755,
      0.273910390832896,
      0.25192379351376,
      0.0557565010634051,
      0.114250887879114,
      0.188136903177343,
      0.159692681978334,
      0.0528185119253518,
      0.0518721509978074,
      0.11943771589855,
      0.190786121009808,
      0.153206611617406,
      0.0479405326239871,
      0.0678652173689338,
      0.0770538892245487,
      0.169566346744491,
      0.11220098880178,
      0.0381423088572139,
      0.0675516604206926,
      0.15421142968502,
      0.330797472699444,
      0.0901876983681123,
      0.0492964656786797,
      0.102881732842245,
      0.169954873616518,
      0.341173942114912,
      0.0564204751965887,
      0.0404924315996111,
      0.0870054767576305,
      0.119056800560785,
      0.24404025877425,
      0.0443347765713388,
      0.055866457893941,
      0.0973082886582548,
      0.0963103413606906,
      0.202651680373584,
      0.0413278644775284,
      0.0370957779064938,
      0.0817912149348778,
      0.0763146524837592,
      0.225895537245581,
      0.0475330798559138,
      0.0295205315591565,
      0.100588482370257,
      0.0570912005467394,
      0.0587733903795302,
      0.0277433481101905,
      0.0291449446058617,
      0.0800698572122481,
      0.0385290218431989,
      0.108503822549992,
      0.0291797354598855,
      0.0356171732445514,
      0.0658215882096586,
      0.0390019489849351,
      0.0876861867243414,
      0.0234183335995482,
      0.0526083356874549,
      0.0568620000800748,
      0.293211930310964,
      0.116317404493385,
      0.0237482483749089,
      0.0631302983429837,
      0.0418051831058821,
      0.202388263822064,
      0.0816503879853586,
      0.0250669495882267,
      0.0966012547164806,
      0.0328168161702942,
      0.111003260761529,
      0.0638596668813825,
      0.0230691200199719,
      0.0786791314693065,
      0.0367294263448852,
      0.205536783797338,
      0.0269218388112632,
      0.0277251775878009,
      0.0268016690669723,
      0.0330069368746499,
      0.184412446795339,
      0.425351926485522
    ],
    "vocal_pitch_contour_hz": [
      0,
      0,
      0,
      0,
      0,
      0,
      67.1724518545377,
      281.917550235146,
      334.068681587902,
      152.3923617626,
      333.054798411059,
      358.265709845349,
      309.969622832478,
      363.296024609177,
      324.176089342395,
      313.91509758531,
      349.643034260122,
      322.096455560844,
      344.082280718844,
      318.73359261484,
      330.490830962933,
      278.558181999011,
      311.223132745054,
      136.245243021294,
      186.056846694906,
      87.6149463402182,
      183.120740042946,
      338.558379028217,
      261.164880923831,
      211.748055393915,
      352.609907955992,
      327.917235748119,
      334.692669599183,
      347.760213632276,
      309.308603817503,
      334.907659793178,
      324.260633597097,
      294.530809923502,
      338.244939481137,
      310.600786731263,
      338.756308896406,
      306.919748066481,
      313.24173173855,
      317.281104098507,
      231.335815573461,
      179.572747100482,
      315.017075556303,
      349.265290010629,
      307.835281191107,
      310.187756750388,
      321.032088047799,
      95.5091318679831,
      0,
      20.188498849311,
      296.172239815946,
      330.903283446762,
      309.822022929934,
      320.807467119711,
      204.808900251847,
      296.739760356116,
      120.695802071368,
      148.30888211538,
      280.733273153502,
      301.671200967736,
      0,
      37.9559665553845,
      79.7243620230532,
      53.0677862640001,
      289.488939717108,
      109.187822360188,
      91.9109333782765,
      62.8144274635997,
      210.983131849618,
      223.054098364691,
      265.086441079897,
      279.890806702049,
      304.129271269595,
      223.507431730692,
      227.73106604434,
      309.459522369026,
      115.25064620067,
      312.988872534288,
      312.679732102749,
      163.050905517254,
      131.627564254647,
      246.204199692404,
      281.738540191214,
      286.840344497957,
      179.90385200159,
      90.8439134138623,
      0,
      0,
      55.7344244181506,
      93.4555998838423,
      0,
      0,
      0,
      195.640892894567,
      218.198455213318,
      227.635523434599,
      189.102088988045,
      297.583871576567,
      350.00254806224,
      68.1913492951398,
      242.920313712391,
      315.013687152241,
      234.448079131347,
      352.130330376536,
      138.252974744681,
      271.506081644248,
      45.5821643929124,
      214.318387689137,
      271.084256457997,
      162.393092187331,
      0,
      0,
      155.240023405795,
      279.501536253622,
      224.514492450141,
      270.536244407001,
      277.542353983547,
      261.365905110374,
      321.640871948019,
      98.4750674965794,
      248.374302823401,
      264.005666763425,
      228.613579967941,
      97.9401548310603,
      175.330309103565,
      253.237233786103,
      277.336129890323,
      233.236801294081,
      111.160268968113,
      44.6150708645131,
      134.520112606071,
      336.378181042185,
      305.439357508678,
      272.524592970347,
      186.594039273353,
      49.0237297588568,
      77.7462479129313,
      103.454638043233,
      249.008880731449,
      271.263023344919,
      231.235315303621,
      91.1643287858247,
      272.768941215089,
      321.80949796207,
      172.16163110984,
      189.727603392374,
      69.1846822255486,
      147.154857807837,
      222.904815874699,
      223.590203090537,
      170.665707347466,
      166.735974226599,
      169.13260401735,
      0,
      20.2817426727061,
      0,
      0,
      0,
      17.3279236127621,
      174.383330159727,
      354.772295441491,
      195.894054004863,
      196.207554138752,
      355.013515894535,
      328.150484765391,
      338.790323445322,
      352.479292526516,
      316.359890618011,
      264.95299697378,
      298.378579474179,
      319.000081679266,
      351.537139794936,
      316.429613821268,
      324.669516774872,
      306.385076406008,
      190.318911685815,
      196.124686024716,
      126.774126647942,
      40.8923997088064,
      272.771164411556,
      319.347944019498,
      143.5865105242,
      331.422790974995,
      361.493512312766,
      313.587090606965,
      354.328397398724,
      332.240837002169,
      311.299201341974,
      350.386457575043,
      291.479650169638,
      361.50666341675,
      326.263740436005,
      326.763756526588,
      321.820654772504,
      307.660012193451,
      319.145148602948,
      282.347795399574,
      115.500274819145,
      304.362098670303,
      346.281450653726,
      346.74554526872,
      286.632273664807,
      334.226629591904,
      195.823528741842,
      36.1236363148724,
      0,
      50.3968511299415,
      197.224454904427,
      276.39707877473,
      312.773275570789,
      321.437532269992,
      185.103774283747,
      300.016603754186,
      0,
      288.990821610667,
      287.48707830187,
      205.015350276495,
      13.5210865935533,
      96.1564251002283,
      34.1480397446284,
      183.775042852095,
      151.567149669613,
      88.7949337677663,
      99.3712984328897,
      0,
      175.97569360962,
      174.128726544036,
      237.140208239924,
      309.437975047429,
      265.62173725103,
      228.726298829025,
      302.059929956618,
      216.376548925757,
      303.931015935286,
      268.006101862583,
      353.992671158131,
      168.705473507944,
      110.730760508349,
      204.820218563776,
      280.754716379408,
      353.985598865626,
      200.467283432524,
      68.0441717542528,
      0,
      0,
      0,
      0,
      0,
      0,
      17.7850761065933,
      173.524809919062,
      245.289653697732,
      196.080356318939,
      220.407842032892,
      203.113642313512,
      371.622666976711,
      607.732958466451,
      652.206587218591,
      279.192461332641,
      325.778971675524,
      276.593646232648,
      99.4744599332267,
      0,
      0,
      0,
      0,
      0,
      0,
      22.8793554027888,
      160.980318449066,
      402.510160803345,
      573.12051048977,
      327.422950834161,
      265.673593802267,
      340.973518855669,
      331.454073230687,
      179.818522247362,
      291.200369669698,
      252.466275987486,
      345.009563781935,
      51.1558476784707,
      0,
      0,
      0,
      0,
      46.6715292105716,
      82.7219463830322,
      174.316145717286,
      49.3249462977966,
      121.437232156659,
      334.917741629261,
      39.7779761834904,
      77.7462479129313,
      69.2955687919605,
      207.040936296672,
      296.157855691458,
      241.598582257,
      271.74928932633,
      214.777377208408,
      322.842654641024,
      290.440553127855,
      102.83235670045,
      71.2004891021342,
      149.929324198596,
      133.597778872476,
      79.3848808767955,
      202.249442359575,
      142.864520587798,
      244.781111557293,
      63.5909402344816,
      0,
      16.8920172169333,
      0,
      0,
      51.0568858931223,
      66.1192930426849,
      291.289987641845,
      353.615935157691,
      67.9735343008479,
      331.368663141318,
      353.747427159603,
      301.3878472965,
      361.644320515945,
      325.557144795792,
      314.87315307837,
      307.859653242871,
      321.184084956466,
      326.547754827132,
      322.068146444284,
      329.438041707006,
      273.533440594871,
      309.402441262057,
      149.880414057698,
      180.873954297951,
      109.934218820131,
      170.677176676038,
      345.852946372593,
      269.061009454969,
      171.678303046176,
      351.957812260392,
      337.184269267015,
      326.999392996602,
      358.306714219509,
      309.740005247735,
      331.226583236004,
      328.650876460896,
      333.023290264608,
      363.444043081592,
      312.176562692744,
      311.504551202236,
      266.376586961744,
      274.759668917926,
      290.590109240158,
      172.18070307263,
      132.877529310188,
      108.513436656586,
      78.36593566071,
      183.287715800962,
      142.334292608794,
      99.0019532028052,
      92.7474079171673,
      58.1122607402424,
      187.221546713457,
      179.267571693289,
      332.47350240091,
      312.771858540368,
      262.138591422489,
      236.443422508135,
      325.289139831826,
      192.990727225331,
      182.042534854284,
      280.806989724461,
      301.982800364815,
      0,
      32.8913656275207,
      81.0535841407594,
      45.4921796554381,
      251.78466417972,
      48.4675996845158,
      81.3920106620143,
      49.7510332032344,
      212.930856294454,
      199.00501420692,
      250.737444506536,
      314.581675355891,
      305.876275807601,
      213.651860630346,
      242.285443008689,
      309.087790955841,
      222.56512330702,
      359.702258115657,
      304.211247032504,
      361.620771604287,
      308.625421883517,
      286.138497822084,
      243.012970664971,
      351.852208251879,
      223.553848625347,
      305.263988075348,
      184.385771306419,
      173.97993377785,
      297.978590256106,
      270.180481418067,
      188.128922749553,
      96.5499582507568,
      190.580455094488,
      317.002846225288,
      157.074823833153,
      213.371220208883,
      109.273783359126,
      142.063473410607,
      235.239528122562,
      339.199017877211,
      270.826585147681,
      196.313355018785,
      278.262850327827,
      273.297932907597,
      327.887713213815,
      361.149014592232,
      353.38090729559,
      211.666385378559,
      319.136872541716,
      177.87820656135,
      306.353672811749,
      204.648070864663,
      199.884787094508,
      214.119655142547,
      286.69587916498,
      33.8817265978182,
      0,
      30.774422022532,
      131.041615785988,
      190.010499232889,
      119.560579474253,
      29.5475075997157,
      35.0766778245796,
      179.003470479734,
      115.464078233084,
      88.4336027838278,
      0,
      0,
      172.15735043009,
      324.627735665921,
      311.654611077315,
      316.999675252837,
      183.962912931707,
      264.27876655092,
      262.823261691757,
      59.0297244529059,
      35.6607132110625,
      76.8404308432477,
      232.075085567034,
      166.796597500528,
      68.2905343514623,
      19.2514321886123,
      140.954516160895,
      162.470736430452,
      147.990743929344,
      95.3563003961001,
      85.1513349731578,
      0,
      0,
      0,
      1867.29904794265,
      1997.57572570609,
      1997.57572570609,
      1997.57572570609
    ],
    "vocal_pitch_contour_midi": [
      0,
      0,
      0,
      0,
      0,
      0,
      16.4868970340056,
      53.2630368143457,
      62.1598321007424,
      31.3134399026227,
      64.1507928485141,
      65.3790537179268,
      61.9183559530542,
      65.6681841526677,
      62.6357472573093,
      63.150792848647,
      64.9399232832012,
      63.5768798051123,
      61.592612596373,
      63.4073145877427,
      64.026879805051,
      55.2018236490693,
      63.005140674754,
      27.4443900854248,
      45.659032589152,
      17.7868970337942,
      39.7404981718575,
      63.4096603006824,
      52.2217324666506,
      42.5664133280572,
      65.1594885005555,
      62.7857472572955,
      64.2420971963273,
      63.8313994310681,
      62.8964450225958,
      64.2116624137278,
      63.6420971964141,
      57.0559996750152,
      62.3054842746449,
      62.9703580660633,
      64.448618935431,
      62.7638363269624,
      63.1160102399559,
      63.333401544274,
      49.7304281193593,
      48.5233909810492,
      59.1558278748401,
      65.0007928484007,
      57.7581735879643,
      58.8971322227014,
      62.5031385616712,
      27.5609223911033,
      0,
      8.58758423506209,
      57.1473040228283,
      64.0399232833112,
      62.9268798052,
      63.5247058920737,
      41.1904981716121,
      57.1842605445616,
      22.5668164160846,
      31.0851790330898,
      59.2946147098305,
      61.4748776922451,
      0,
      14.9930751741054,
      33.4700739576339,
      13.9979383997123,
      59.7054842750013,
      29.38483543397,
      39.1103475056261,
      23.091700774304,
      47.3459891106003,
      50.9454737104518,
      51.4523390492498,
      57.2797409185735,
      62.5877493704688,
      43.0685872410494,
      49.3305999191234,
      62.9051406747684,
      23.2949054856594,
      63.0986189356111,
      62.0292255182618,
      27.7228227548596,
      28.0007400246263,
      50.4262520928705,
      56.3820866316273,
      56.6168692402968,
      31.6875247459503,
      16.9435905729304,
      0,
      0,
      18.1057750521233,
      20.8929033728758,
      0,
      0,
      0,
      39.2754525805491,
      41.8883242584761,
      45.431287119192,
      38.3321461196072,
      59.1991343358177,
      64.9877493701477,
      11.6529734253893,
      44.0881524583027,
      63.209488500813,
      48.7459891103876,
      65.1029667614362,
      24.4514272246414,
      46.5553719624331,
      17.9969076002288,
      44.2117219020791,
      52.7760802926588,
      31.839526859074,
      0,
      0,
      33.4933592855342,
      55.2344323447197,
      50.0608629017607,
      54.7670410404338,
      58.0469604229466,
      52.236949857953,
      57.3496497357524,
      18.3586361641524,
      50.5653825276305,
      54.3931279970102,
      45.4812871191855,
      18.330375294591,
      32.5351790328916,
      42.4515395365838,
      45.7164133276701,
      43.6816307192142,
      25.696563998784,
      17.2166446175291,
      41.254684764031,
      60.1601757008068,
      55.5389519706636,
      53.5759084927087,
      37.1540570500976,
      24.5841482372044,
      38.9920972038433,
      29.493015687536,
      49.5633804146176,
      56.5406104839406,
      47.1613783018949,
      35.9938152004577,
      51.8545129622398,
      62.5487907355775,
      35.1933592850712,
      38.3669287282979,
      21.1706488431019,
      33.8629245026368,
      55.4750494930833,
      57.2225319800849,
      47.8453019112412,
      41.572591467645,
      38.0798004067385,
      0,
      10.1718514444809,
      0,
      0,
      0,
      9.4609818796992,
      32.4851790328983,
      65.2725319788014,
      36.6542288500533,
      39.7167569282251,
      65.2768798048887,
      62.8009646485971,
      64.4420971963025,
      64.0531385614762,
      63.2877493703667,
      51.4327738318627,
      58.2710452662641,
      60.3600039008754,
      65.0420971962305,
      63.292097196453,
      60.6686995530067,
      62.733401544358,
      38.3995374239455,
      43.4704175542875,
      35.6511959384062,
      12.67402535667,
      53.678082405723,
      60.3686995530495,
      29.8179595288056,
      64.0703580659154,
      65.5594885005101,
      63.1225319790872,
      65.2442711092405,
      64.0442711094058,
      63.0094885008404,
      64.9812276310216,
      58.9208734662844,
      65.5855754570253,
      63.7486189355299,
      63.8203580659496,
      63.5486189355528,
      62.8051406747826,
      63.4377493703461,
      57.4232191794217,
      37.752854451376,
      57.5755648923366,
      64.8529667614628,
      64.8703580658092,
      54.6215606664301,
      63.2031385615767,
      39.6971917108363,
      15.3059468526541,
      0,
      16.5930751735788,
      37.5866657457211,
      55.0974758229951,
      63.0899232834379,
      63.5594885007645,
      37.1127527022714,
      56.3344323445694,
      0,
      60.7509646488719,
      59.6815712315133,
      49.6866062588716,
      4.43409540860386,
      37.9826020352698,
      16.0403858619552,
      39.9513677370155,
      29.2594356765939,
      36.2132086181779,
      42.096788627405,
      0,
      40.4120655023011,
      40.8162415285639,
      52.0953019105519,
      62.9051406747683,
      53.3954737100897,
      47.3939869974238,
      62.4812276313519,
      43.8227632671266,
      61.6009646487489,
      53.6150389274382,
      65.1812276309933,
      30.1072617634433,
      18.9325492075623,
      41.1904981716122,
      57.3210452663948,
      63.1076581875839,
      35.8261397804984,
      11.6464516862596,
      0,
      0,
      0,
      0,
      0,
      0,
      7.00749305225963,
      36.9299722069077,
      49.4025108494164,
      39.7124091021383,
      44.9986784236063,
      40.0667569281802,
      66.0442711091463,
      38.5465639976574,
      46.7712765539061,
      57.234088744668,
      63.7725319789989,
      48.9072022753692,
      17.3479383989691,
      0,
      0,
      0,
      0,
      0,
      0,
      9.01149727837039,
      30.6223073548187,
      54.4744217792609,
      73.4420971953957,
      49.5899827709139,
      53.5106911013624,
      64.5399232832479,
      56.6498215357593,
      31.6853508329068,
      59.8924407967002,
      50.7740781797774,
      64.7486189353943,
      8.74027354730276,
      0,
      0,
      0,
      0,
      22.612924506213,
      27.8911853737122,
      52.9703580679807,
      14.9760274691159,
      36.8662415293281,
      63.207486387667,
      11.6872406349379,
      38.9920972038433,
      34.753825768643,
      42.2925002846196,
      57.1429561967425,
      52.7648671277419,
      50.7916412840134,
      40.6928438846162,
      62.6009646486143,
      55.8279106055071,
      32.8535416517794,
      26.6216201566732,
      34.0411853721728,
      32.9129245028062,
      28.2993656272327,
      54.6553124760625,
      38.7858067462798,
      58.8160102406472,
      13.463499390576,
      0,
      8.47436895735853,
      0,
      0,
      16.6669882170361,
      16.4086361644551,
      54.7650389272963,
      65.2073145875063,
      13.7048037383683,
      64.0616624137434,
      64.122703778858,
      60.4533103618389,
      65.5920971961549,
      62.6987907355629,
      63.2051406747262,
      57.6994779358055,
      63.5312276312051,
      58.6559996748111,
      63.5725319790261,
      63.9725319789711,
      52.8999933361211,
      62.9029667617251,
      30.1896986591845,
      44.3896391718207,
      31.5975353120403,
      38.9491938241615,
      64.8073145875589,
      52.6521672491995,
      34.3804876067705,
      65.1290537179504,
      64.285575457202,
      62.8248776920619,
      65.3964450222705,
      62.9203580660707,
      64.0312276311416,
      63.8573145876915,
      64.1442711093851,
      65.6594885004969,
      63.0551406747474,
      57.925564892293,
      56.5036539621651,
      57.9708734664217,
      59.8533103619238,
      38.7122373025471,
      33.134491833526,
      42.9360908614377,
      36.6364344632986,
      40.5185872415352,
      29.7549160505525,
      40.2277388095258,
      39.2516518533915,
      27.3772828977006,
      43.0117219021704,
      36.7279700936392,
      64.1247058919953,
      63.087749370395,
      52.3108629014161,
      49.8262520929647,
      63.7464450224808,
      38.5277982934954,
      38.8863221457405,
      59.2989625359168,
      61.4944429096333,
      0,
      12.99341877408,
      33.6961609140572,
      13.1718514434434,
      51.6847759449903,
      19.0489097132654,
      34.4546847662919,
      21.0592638789153,
      47.474249980144,
      45.6483348237724,
      48.6700739537559,
      63.1790537182094,
      62.6942711095827,
      44.618243641052,
      52.1302563189618,
      62.8834015443369,
      44.1205893540471,
      65.4529667613952,
      54.4217324663632,
      65.5268798048666,
      56.7431279966939,
      53.5652107273362,
      48.2396391712083,
      62.968527752823,
      42.1361503454036,
      57.5581735879988,
      34.0197898414963,
      43.8722478675716,
      61.0379211706058,
      59.4118342143295,
      46.6958173108753,
      23.0795162945309,
      47.7630368152013,
      61.2815712312923,
      37.2276264938478,
      56.3986189367752,
      30.1304876075189,
      26.7271705810671,
      44.7814589191765,
      60.2580017877564,
      49.7048565623158,
      38.7082330760791,
      48.9702457536243,
      52.8782542056903,
      56.5954737096675,
      56.7412976835089,
      65.2029667614189,
      49.0652107280379,
      62.3922689964705,
      44.165726128385,
      62.4920971966055,
      41.1687590411821,
      50.2213888672707,
      52.0646953279865,
      56.534260544668,
      16.9704770451395,
      0,
      14.2211642445121,
      36.0925002859889,
      38.3821461196002,
      32.6714483552229,
      13.0367252353591,
      13.9410730610691,
      47.8822584331235,
      28.2938746859018,
      30.2471917132296,
      0,
      0,
      33.3937028850561,
      63.7073145877039,
      63.029053718229,
      63.3225319790575,
      43.5745935805143,
      57.0686995535608,
      53.2411258840267,
      21.6003964273534,
      17.83769654956,
      29.85136773969,
      52.5059996759308,
      40.4879806590088,
      29.9336328360385,
      8.4267146699149,
      46.4427843990694,
      37.4580612764492,
      38.3751089809403,
      22.08403592063,
      19.5539447381402,
      0,
      0,
      0,
      88.9839169426164,
      95.1920971944268,
      95.1920971944268,
      95.1920971944269
    ],
    "vocal_pitch_confidence": [
      0.0100170740700258,
      0.0173835460840093,
      0.0167735559300354,
      0.0137052024523836,
      0.0106974982449459,
      0.0173218464685033,
      0.0139558617239697,
      0.0910943355215428,
      0.0479779140156506,
      0.014697667851975,
      0.350362901187875,
      0.319948227997836,
      0.295812493338183,
      0.507747792501754,
      0.134107362105468,
      0.464370404651446,
      0.126239941864519,
      0.307814040961346,
      0.314995771423231,
      0.382087533584213,
      0.371130252171671,
      0.322956990201146,
      0.319744368793524,
      0.0931570887690406,
      0.0703653725725441,
      0.0226772852458742,
      0.025069756902128,
      0.0172028309443033,
      0.0122852533175107,
      0.12951038974835,
      0.270192125683851,
      0.198224565283247,
      0.331557636190054,
      0.29837383523817,
      0.343734497415583,
      0.21169804480544,
      0.0752852740064673,
      0.255216585943971,
      0.152126659347358,
      0.34645988913617,
      0.379473804404704,
      0.727186196868779,
      0.566779988224645,
      0.270316688720967,
      0.196945548360379,
      0.11926403034701,
      0.0568641066738475,
      0.0276334038482,
      0.0278231821017192,
      0.0429675530168299,
      0.0552314101343947,
      0.0209487679824984,
      0.0114507421455923,
      0.0101060505723963,
      0.144777646385694,
      0.302599758824942,
      0.617966437021597,
      0.251817282836743,
      0.113728004811163,
      0.242204898489733,
      0.141728116844188,
      0.0152710765888683,
      0.020890748071876,
      0.0237242049731541,
      0.0109656596722507,
      0.0155800705074506,
      0.0212374183140547,
      0.0120711849108485,
      0.0184290624425208,
      0.0120008262505811,
      0.0609519447142825,
      0.0269315540203348,
      0.111655507626023,
      0.203529105722916,
      0.0662933550486018,
      0.0816629860328129,
      0.275966267887906,
      0.0960325327820607,
      0.373190134437729,
      0.545054734902104,
      0.0608853922758935,
      0.381718329432399,
      0.412674035852527,
      0.108694736825001,
      0.0417071810216825,
      0.247144675459064,
      0.2294950874115,
      0.39729726833403,
      0.122903577029365,
      0.128873168094729,
      0.032278153537593,
      0.0116372555519183,
      0.0524895338602878,
      0.030957922686906,
      0.0145798137343271,
      0.0193063506568765,
      0.0162805286075423,
      0.0423145637153429,
      0.0324285265119756,
      0.240982827182717,
      0.242890202389036,
      0.31945130006469,
      0.533065864134254,
      0.0932015922192579,
      0.234194106587811,
      0.439880084411592,
      0.212551899216521,
      0.569031178161852,
      0.0785552110005247,
      0.0546250780381571,
      0.0239355799261075,
      0.0313053582055878,
      0.0301430137405669,
      0.104834693919859,
      0.00908606110446403,
      0.015858010668065,
      0.0261367165902085,
      0.040977053011183,
      0.198221302131882,
      0.334147217347453,
      0.224445045619924,
      0.316612284089623,
      0.376689138573041,
      0.0570758333956629,
      0.324836745238098,
      0.471134539481053,
      0.375674712304017,
      0.182679560655798,
      0.0169414094855162,
      0.0284888241938029,
      0.0319981413286423,
      0.0266040974967289,
      0.0200533176482831,
      0.0194950648998946,
      0.0886281634498881,
      0.0790063602962835,
      0.291328597202087,
      0.154300739438944,
      0.256787059605186,
      0.0453513547409157,
      0.0574113707359975,
      0.0493883139787832,
      0.266913318904528,
      0.22883614366319,
      0.0789449831565191,
      0.0447503283704083,
      0.0983695678841749,
      0.474822778033561,
      0.316137331024313,
      0.0304354856616736,
      0.0235038256541274,
      0.0824549902392306,
      0.126524686960186,
      0.216258394434941,
      0.0235872089501897,
      0.0276086018305147,
      0.0237416263868497,
      0.0102291127113659,
      0.0114782758274501,
      0.0111240741406343,
      0.0104225026592147,
      0.0134106747540488,
      0.016786497589725,
      0.0270111000110942,
      0.16730856223793,
      0.0141778131243602,
      0.304853221878228,
      0.345939573302236,
      0.287988076095183,
      0.513409114648149,
      0.304987520218893,
      0.285629210138123,
      0.326554709376731,
      0.103810124483528,
      0.395557027259083,
      0.341532151631375,
      0.528322235097157,
      0.302961166328839,
      0.226049710664231,
      0.0373407279155367,
      0.161035282847069,
      0.0392447737746439,
      0.0228983527984936,
      0.0439310880719445,
      0.0107238487928565,
      0.0115798419643015,
      0.339532373968003,
      0.247929416901152,
      0.266821179738055,
      0.358551814826754,
      0.37542223055742,
      0.469283277191313,
      0.178419422952907,
      0.264106298567571,
      0.215445272946223,
      0.198154629753587,
      0.613392718452396,
      0.503280681673654,
      0.583313806871529,
      0.369054033744059,
      0.256852295235083,
      0.169555469912412,
      0.100514698321721,
      0.0654227946949772,
      0.0469805279331177,
      0.0400201288933062,
      0.0675394396453639,
      0.0580678097236013,
      0.0245697815590578,
      0.0104957155245629,
      0.0262956802874689,
      0.0973259894015233,
      0.2109552341052,
      0.509707527456207,
      0.215865387634113,
      0.120198683126601,
      0.354341185645302,
      0.010930723597187,
      0.0186608268367791,
      0.0189205912153985,
      0.0207002271989299,
      0.0117964207756983,
      0.0306118415289901,
      0.0108003669602163,
      0.0192309714426164,
      0.0102521016662063,
      0.0156017775265924,
      0.0707444425140314,
      0.010513715269563,
      0.160274281780607,
      0.0900865000136621,
      0.0775760416952128,
      0.145252505167091,
      0.163529020157177,
      0.194292671843479,
      0.545788428305048,
      0.406005131623873,
      0.343824367253265,
      0.115708985966304,
      0.609119073182478,
      0.119957940305801,
      0.134012440050265,
      0.148226760218642,
      0.200171181948875,
      0.634692793315047,
      0.208410988242153,
      0.0858008686327503,
      0.0165238165087356,
      0.0200732885990025,
      0.0226258949081326,
      0.0116675490104523,
      0.0208888045090591,
      0.0162703214411602,
      0.0222246983911778,
      0.0194488593284494,
      0.269743405778973,
      0.126870685136729,
      0.263936893348491,
      0.214228922667204,
      0.529872242998207,
      0.154918635183735,
      0.0573601791839939,
      0.287912833440284,
      0.520487378968043,
      0.405606361251704,
      0.0776272118618567,
      0.0189849032078002,
      0.0292253080488904,
      0.0160159652388786,
      0.015979746384292,
      0.0202656497841207,
      0.0206023249838203,
      0.016864936744165,
      0.0486144113681864,
      0.20522882239654,
      0.649404674009435,
      0.192965905768242,
      0.263177884435882,
      0.518766580568305,
      0.140464588982474,
      0.0546506638697357,
      0.33231197135262,
      0.198232306788209,
      0.608568784149188,
      0.063826849242525,
      0.0325905604028166,
      0.0251890314549935,
      0.0149686991302532,
      0.0197434714807064,
      0.0153092705307014,
      0.0393923940282148,
      0.0568261703218929,
      0.037905559494479,
      0.0639515178236138,
      0.253166735469206,
      0.0487758119865881,
      0.0742587048741649,
      0.0421054587010857,
      0.161900839297407,
      0.392349687429172,
      0.0715805281128294,
      0.056110946677984,
      0.0262904589497709,
      0.294654121689269,
      0.514229438358263,
      0.055871062507655,
      0.0137608332001526,
      0.117521704917751,
      0.0410545173507571,
      0.0994775305643732,
      0.0476908436619941,
      0.0258016527468146,
      0.0315102887958531,
      0.0143430118723539,
      0.0102608811855691,
      0.0123936324252949,
      0.0111931507443817,
      0.0106965643382352,
      0.0208013072750661,
      0.0104623477852855,
      0.116360963039923,
      0.0723241713774967,
      0.0107386285676912,
      0.459406166236109,
      0.241686904224738,
      0.384415466155622,
      0.514891354170148,
      0.145949273609493,
      0.504302670852251,
      0.0653445597329226,
      0.330116667298104,
      0.342123715455942,
      0.420813014362352,
      0.443038225649871,
      0.193387489895947,
      0.149108815891833,
      0.118403857570206,
      0.068713994355562,
      0.0265984199670767,
      0.0323264569686675,
      0.0303477089058355,
      0.0118917038759595,
      0.138582932239033,
      0.37800985303686,
      0.249016385664557,
      0.36819480120796,
      0.301876937560648,
      0.535881101767633,
      0.257073593015881,
      0.112020524232378,
      0.415761664388179,
      0.0554563086582721,
      0.162116302188899,
      0.156322132298289,
      0.0147127800507448,
      0.0417766435976922,
      0.0199072731967776,
      0.0272635128868829,
      0.0234387306977739,
      0.0190229467478102,
      0.0116476623452311,
      0.0134254112371483,
      0.0128470874686651,
      0.0266136721953126,
      0.0477523995724611,
      0.0109026579231696,
      0.108367893173173,
      0.0740503539276569,
      0.10094510649411,
      0.428247350411957,
      0.231615241843861,
      0.190415936276085,
      0.137675403948264,
      0.0258055193841977,
      0.0153017065925869,
      0.0213948306990427,
      0.0266669458909472,
      0.0115620634439763,
      0.0127216662666163,
      0.0209651509256456,
      0.0115003780269745,
      0.0173094076394572,
      0.0116486333522275,
      0.0309156334401325,
      0.0278592874901436,
      0.0703881188429019,
      0.134041940266165,
      0.0774567672837337,
      0.0778820533725724,
      0.144202123059609,
      0.124697041882447,
      0.485363822634734,
      0.603038452119807,
      0.0903430469513451,
      0.253334403503796,
      0.0252379749448798,
      0.270278437420162,
      0.0561387167842056,
      0.175887905552228,
      0.0666682650285625,
      0.0856097797583126,
      0.0980971258766834,
      0.123105110098183,
      0.120201913873227,
      0.152120268760514,
      0.255820888079645,
      0.116789215148619,
      0.211783816131083,
      0.0651634334314065,
      0.271794325206983,
      0.285599300697956,
      0.0319869843430654,
      0.0590643954906891,
      0.0650765164872383,
      0.0368442052016123,
      0.0545148168685774,
      0.223725980895604,
      0.153589142651073,
      0.0761092607851789,
      0.20704986570145,
      0.0355286562256372,
      0.222858102459618,
      0.0922849287984883,
      0.159901172420615,
      0.125880156899078,
      0.393072026700213,
      0.0256796415168264,
      0.251663953113433,
      0.144969267175588,
      0.0752949618862927,
      0.132416590908438,
      0.0269206338218413,
      0.0187519745229258,
      0.0134604902459239,
      0.0278535374645399,
      0.0365999271688045,
      0.0153708529946771,
      0.0441734251135265,
      0.0119413594199303,
      0.0223371751493847,
      0.127902448751868,
      0.0194616029336406,
      0.0197140937028179,
      0.0126466813004316,
      0.0151597878400102,
      0.0857428470190773,
      0.26442509764539,
      0.586610908327297,
      0.533919665952207,
      0.110776755133783,
      0.117447945024995,
      0.0432016617734164,
      0.0151640622102479,
      0.0181326231998197,
      0.0503074809643423,
      0.0344482065827578,
      0.0401849583706261,
      0.0193102591834014,
      0.0134274991111689,
      0.191615327341932,
      0.0455673526290764,
      0.0198487376740363,
      0.0122540215920041,
      0.0347538833075573,
      0.0302729583368343,
      0.0173652139672543,
      0.0682250977622878,
      0.0375543587518832,
      0.0618227067025361,
      0.0793300335547234,
      0.104120517692625
    ],
    "analysis_vocal_vibrato_rate": 8.52272727272727,
    "vocal_vibrato_extent": 7.59865350023069,
    "vocal_vibrato_presence": 0.882832089415559,
    "bass_pitch_contour_hz": [
      155.594185674164,
      280.418674214473,
      204.20061537615,
      156.128161362471,
      364.2990431791,
      199.497095074269,
      112.412674841285,
      15.4551888063821,
      157.766523918347,
      296.503570664637,
      364.360075164614,
      309.629182382406,
      0,
      356.859430121888,
      398.994190148538,
      299.818374106203,
      231.34315812443,
      358.275633908013,
      322.862453298495,
      377.643559270742,
      342.06130077499,
      334.429892450081,
      203.471142183274,
      135.950733181489,
      99.1878436210653,
      346.964735018738,
      279.13044846786,
      279.558992839169,
      177.87076430766,
      303.582535982583,
      347.197562085256,
      338.717927884946,
      342.05611924532,
      302.651974522849,
      120.779847851606,
      299.416594774036,
      272.897065027487,
      297.507793489703,
      383.554460435352,
      369.752683631668,
      340.960366181008,
      156.028534424485,
      281.865396290157,
      347.082073030998,
      0,
      13.8487709475283,
      253.0809534008,
      312.256322724943,
      346.951469694381,
      250.709393116982,
      190.82330833191,
      303.582535982583,
      294.908749240224,
      234.192242043707,
      164.801948104831,
      121.433014393033,
      94.9203329306607,
      369.330345660422,
      294.908749240224,
      275.585928352241,
      302.499064547251,
      247.565327008417,
      325.577618331159,
      278.103533178117,
      311.353304980453,
      235.245265518547,
      86.7378674235952,
      118.105097526409,
      86.7378674235952,
      199.497095074269,
      277.561175755505,
      249.508570328303,
      261.472362969752,
      260.213602270786,
      260.213602270786,
      260.213602270786,
      285.988036626462,
      320.930109467302,
      208.170881816629,
      93.0445978380697,
      62.6004447882524,
      65.9203395563269,
      66.1499633625345,
      66.1915940606198,
      55.3352181847633,
      46.0272054313736,
      45.9632365650182,
      49.932830722259,
      49.9390036667042,
      42.9856456947706,
      45.1205756122151,
      45.5482433879139,
      44.5076440170056,
      44.4909541085382,
      17.3764783920903,
      25.821770348224,
      45.224505444148,
      44.580584982435,
      44.6085327834079,
      50.0459697131634,
      62.6124277270171,
      65.5270167219675,
      66.1665871696908,
      66.1666351793886,
      56.2311444922653,
      55.8122346713608,
      55.7942303388572,
      59.1408537084746,
      59.1408537084746,
      49.5468720086043,
      49.8974591844627,
      52.7219358872893,
      45.098643898354,
      44.914623596606,
      38.8347614069243,
      44.5859825124549,
      3.89193780869755,
      0,
      0,
      62.7023806779665,
      65.9117000021779,
      66.2839637050409,
      66.1582029734486,
      58.5136256915046,
      47.2284853840374,
      47.2139059557528,
      50.047205231224,
      49.9764352789649,
      49.1672303470671,
      40.4161370174378,
      45.6141505739644,
      44.5472047888693,
      44.4409145512248,
      44.4928088474433,
      39.3706884146735,
      45.238962548035,
      44.6250257556078,
      44.6368980579607,
      93.4995938448795,
      198.71619351456,
      391.884356253164,
      378.975315703208,
      298.307219062651,
      144.166445516578,
      0,
      0,
      218.419691340746,
      242.33205309776,
      173.47573484719,
      242.866028786067,
      393.432850866621,
      302.289933041415,
      346.851842756395,
      86.7378674235952,
      52.0427204541571,
      277.561175755505,
      329.603896209662,
      138.780587877752,
      60.6271071545111,
      64.6085626935004,
      66.5190140667374,
      66.1582509831464,
      58.9885173639094,
      42.8337979674684,
      44.9749149967278,
      50.0534130859381,
      49.9450655678159,
      42.2221057256556,
      45.1429427135362,
      45.6802298709254,
      44.6594779282733,
      44.4632021193036,
      44.4983316809135,
      21.8904980202239,
      45.2284026086693,
      44.6421721130994,
      44.6311424440089,
      48.2844898273422,
      62.6386810130514,
      62.2038258010466,
      66.2083136090544,
      66.1915943387372,
      55.1148627805797,
      55.8204275975152,
      55.8931933904468,
      59.1260010559846,
      59.1186176254051,
      51.0273347993892,
      49.8270388334914,
      52.7682106266205,
      52.815411679101,
      39.4003815746499,
      44.6643227022376,
      44.5859167533691,
      34.0270901748532,
      17.404715504792,
      112.759227650674,
      308.573829273955,
      227.636340646385,
      304.720067068267,
      319.052367969772,
      86.7378674235952,
      391.213476193538,
      225.12676100404,
      292.005094614419,
      221.598374222756,
      312.256322724943,
      303.582535982583,
      145.267632615799,
      0,
      219.884881058584,
      371.438634601208,
      156.128161362471,
      231.087768879106,
      379.628231663461,
      172.981883104385,
      320.956566767733,
      229.523956636991,
      346.951469694381,
      69.3902939388762,
      0,
      0,
      0,
      86.7378674235952,
      224.547432475331,
      156.296528267316,
      112.759227650674,
      251.539815528426,
      288.525365231562,
      338.277682952021,
      17.347573484719,
      17.347573484719,
      156.128161362471,
      160.889917711418,
      0,
      0,
      46.1647642152751,
      62.4910636306595,
      65.8274408393188,
      66.1333401116129,
      66.1750182647632,
      47.5044275210069,
      45.9773298403367,
      45.9877688443355,
      49.9262224145566,
      49.9136249736227,
      42.7886972338246,
      45.3915268111618,
      45.1801116468264,
      44.4744911166114,
      43.6259404179007,
      2.09461637368264,
      45.3696406108916,
      44.8736477442827,
      44.6085966754615,
      40.4719009034818,
      62.7215191625899,
      67.1392681331748,
      66.2505734635462,
      66.2248891283955,
      58.253351493477,
      54.6455241289185,
      53.2608034494275,
      59.1187034167359,
      59.1114920658021,
      54.1223105501262,
      54.0361800437615,
      52.7616704003415,
      52.7681339732132,
      43.7662362541236,
      44.6305542696173,
      44.6140914589729,
      31.023003008409,
      0,
      0,
      32.0520973281311,
      62.4741489663739,
      65.8264495577245,
      66.1751148387917,
      66.166682910969,
      49.7436258922127,
      45.8903210882192,
      45.9507857491437,
      49.9575555303849,
      49.9703717001487,
      41.2470435652155,
      45.0685782964094,
      45.4741467836339,
      44.4742304739114,
      32.8994969292491,
      43.6613402462045,
      39.1664111033459,
      45.1718265030707,
      44.6423626788163,
      33.9771517992627,
      216.844668558988,
      26.0213602270786,
      0,
      0,
      156.128161362471,
      259.719750527981,
      173.47573484719,
      129.612949392588,
      196.177013429356,
      296.329597636293,
      268.887389013145,
      239.248775826485,
      80.1424776886133,
      60.7165071965167,
      234.192242043707,
      86.7378674235952,
      54.7377127791982,
      151.871193112936,
      100.515185658069,
      30.9978219098755,
      62.4740966820981,
      66.0862958028108,
      66.1333878447952,
      66.1417240297377,
      53.1034409305322,
      45.9395575528609,
      45.9936483950734,
      49.9766908163241,
      49.9200147608478,
      43.0609282880028,
      45.1193059843529,
      45.4445340616388,
      44.5189969085489,
      28.0638162445264,
      28.996459599886,
      36.3532351268354,
      41.2731819250154,
      44.6140300015675,
      44.7167416380387,
      57.6573551218781,
      62.7044535037937,
      66.9257094329287,
      66.2498480096268,
      64.8863269256462,
      50.8197045844833,
      55.9188647255195,
      59.4566087176115,
      59.096295998779,
      53.9343473544591,
      47.7797600068313,
      53.096293355947,
      52.7618620306629,
      44.6794241970302,
      44.8801998790333,
      44.6757754588895,
      44.540922850773,
      44.5855946500377,
      20.4381263165182,
      14.7181282781349,
      62.5241059312647,
      67.4811934159548,
      66.1749702534636,
      66.174874234068,
      53.7761199611163,
      45.9642895666561,
      44.8980450885095,
      49.913986937893,
      49.9012073634499,
      43.7315938688442,
      45.0789928434258,
      45.5562052291052,
      44.5862793235584,
      44.5526055122385,
      5.86896017265832,
      27.6527677355445,
      45.1776377248667,
      44.6362828969829,
      44.5916819204053,
      10.6482966748587,
      78.0640806812357,
      372.97282992146,
      277.545872295968,
      315.14482965594,
      217.375357692052,
      156.128161362471,
      251.539815528426,
      304.283759716095,
      372.97282992146,
      78.0640806812357,
      0,
      173.228808975788,
      329.603896209662,
      218.231950506805,
      190.82330833191,
      171.642083162184,
      397.926238771924,
      268.887389013145,
      240.699394686603,
      62.6335904875992,
      66.1566681714654,
      66.2083618984806,
      66.1417234751049,
      58.6774398943297,
      46.1874641400372,
      47.1313985948651,
      49.9703357335137,
      49.9763271731283,
      44.3753318960975,
      45.1409668484677,
      45.5983440777679,
      44.4967110315838,
      44.4800527912712,
      44.505004359019,
      37.4657015635073,
      41.2963081755322,
      44.6027415665243,
      44.6366749036423,
      52.0454274574142,
      62.6114307953439,
      65.5354666830893,
      66.1749710878156,
      66.1915943387372,
      56.2828322121787,
      55.8039631347071,
      54.4718567939074,
      59.1261298668681,
      59.200694022718,
      46.1437694546263,
      51.7048450069036,
      52.7747120827939,
      44.439840336593,
      44.9656397966382,
      44.6195251617099,
      44.2844543691384,
      38.9945837842068,
      0,
      0,
      191.142531001494,
      214.257054974902,
      382.127894841137,
      182.049894651564,
      251.539815528426,
      320.830482529316,
      266.772274631041,
      77.5727594459416,
      112.759227650674,
      190.82330833191,
      260.213602270786,
      291.19505110796,
      327.847367722913,
      190.82330833191,
      261.951591764648,
      130.106801135393,
      361.415830322406,
      164.801948104831,
      78.0640806812357,
      286.812891055575,
      173.197789987109,
      228.672967670707,
      286.234962497864,
      130.106801135393,
      259.719750527981,
      234.192242043707,
      277.561175755505,
      268.887389013145,
      0,
      0,
      112.759227650674,
      276.804605128382,
      279.498292196311,
      0,
      52.0427204541571,
      0,
      136.38587314841,
      345.212140142917,
      398.994190148538
    ],
    "bass_pitch_contour_midi": [
      26.3133624035783,
      52.2094719940576,
      35.9643318407913,
      26.3372754470539,
      61.4536427097924,
      33.6531852934577,
      19.0061482093474,
      2.83940741683258,
      27.4765443728943,
      50.8657167509571,
      65.6476749349443,
      53.6290372112729,
      0,
      63.2452240397904,
      67.3063705869154,
      51.0396297944121,
      40.443008183401,
      65.3563705871538,
      56.3640968020309,
      66.2737618913908,
      63.5497103570431,
      63.1018842701523,
      41.1171982092054,
      25.3611884906527,
      17.3212271096594,
      64.7563705872349,
      47.9545702036959,
      51.1680291551539,
      30.5311691810059,
      51.211368924827,
      61.734215983559,
      59.1861129145226,
      60.429729666434,
      53.3094719939188,
      24.5981450124899,
      54.161784398062,
      47.648048464604,
      56.1359744237002,
      66.6063705869962,
      65.8868053697002,
      61.3820420705653,
      26.3329276209674,
      52.2594719940539,
      61.6820420705277,
      0,
      2.75679872119121,
      44.6238584390952,
      52.6745508941078,
      58.5272787712308,
      44.4869019173758,
      32.1900033241769,
      51.211368924827,
      49.7481869555462,
      39.5059131705808,
      27.8004574163346,
      20.4845475699308,
      16.0732625316561,
      65.9085445001269,
      49.7481869555462,
      46.7305186691693,
      62.3455010223549,
      47.3199260863012,
      57.4555396409337,
      54.0510533240757,
      57.7708955234054,
      41.6474945005431,
      14.6318196928077,
      20.332373656905,
      14.6318196928077,
      33.6531852934577,
      46.8218230169847,
      44.3934236565231,
      48.0242739122966,
      43.8954590784231,
      43.8954590784231,
      43.8954590784231,
      48.2741354210493,
      54.1377328633885,
      35.1163672627385,
      23.7029083132636,
      34.0298681661876,
      35.7105799311881,
      36.1955010313046,
      36.2063705965148,
      31.1839390107611,
      28.7514688088055,
      28.7297296783895,
      31.3259358176543,
      31.3281097306958,
      27.3708955355234,
      29.5694140801551,
      29.7281097321791,
      29.334631471688,
      29.3281097325641,
      11.4633624095416,
      16.8340355574758,
      29.6085445149002,
      29.3628923412254,
      29.3737619064321,
      28.4117844070587,
      34.0320420792302,
      35.6127538442935,
      36.1998488573886,
      36.1998488573887,
      31.8971209802418,
      32.1733464283497,
      32.1689986022653,
      34.2563705978869,
      34.2563705978869,
      29.9058166339287,
      30.3603029515033,
      32.2672401646727,
      27.7968439997598,
      29.4911532106655,
      25.5598874800559,
      29.3650662542667,
      2.55924961756761,
      0,
      0,
      34.0559551226923,
      35.708406018146,
      36.2302836399773,
      36.1976749443466,
      32.4927731537642,
      29.4711725174739,
      29.4668246913903,
      31.3650662524029,
      31.3411532089451,
      31.0455010353067,
      26.4317651016141,
      29.7520227756352,
      29.3498488629775,
      29.3085445151922,
      29.3281097325648,
      25.7642353059448,
      29.6150662540234,
      29.380283645556,
      29.3846314716389,
      19.0914847844393,
      33.618402684766,
      66.9824575434748,
      66.3563705870305,
      52.0158552420132,
      24.7240934777905,
      0,
      0,
      37.7144703317735,
      40.945182096386,
      29.2636393856154,
      40.9690951398616,
      67.0455010217293,
      54.2726539632691,
      58.5229309451444,
      14.6318196928077,
      8.77909181568462,
      46.8218230169847,
      55.6009148326693,
      23.4109115084923,
      32.65785205318,
      34.9517457877697,
      36.2911532051546,
      36.1976749443466,
      32.2687216186342,
      26.7293142044231,
      28.0817651000944,
      31.3672401654444,
      31.3302836437373,
      26.5162707263511,
      29.5781097323204,
      29.778109732131,
      29.3933271238043,
      29.3172401673575,
      29.3302836456061,
      14.2595685486188,
      29.6107184279409,
      29.3868053846801,
      29.3824575585975,
      29.1797296782618,
      34.0385638183565,
      33.9298681662518,
      36.2107184225988,
      36.2063705965148,
      30.8120613887435,
      32.1755203413917,
      32.19725947181,
      34.2520227718032,
      34.2498488587613,
      30.364512285741,
      30.3385638210855,
      32.2824575559643,
      32.2976749472562,
      25.7707570450731,
      29.3955010368453,
      29.3650662542667,
      22.38310806677,
      11.4742319747483,
      19.02136560065,
      62.7107184136019,
      47.4135428383567,
      60.649571866207,
      57.1751048583547,
      14.6318196928077,
      66.9368053695689,
      38.0253398969542,
      49.6177521729524,
      37.8644703317555,
      52.6745508941077,
      51.211368924827,
      24.7762673908277,
      0,
      38.7863479532825,
      64.9431886177444,
      26.3372754470539,
      39.3624349097281,
      66.3868053696355,
      29.2419002551831,
      58.1687216103238,
      51.357575063591,
      58.5272787712308,
      11.7054557542462,
      0,
      0,
      0,
      14.6318196928077,
      42.0976329916989,
      29.4289952681066,
      19.02136560065,
      42.4322771091424,
      51.4658552420922,
      57.0640968019501,
      2.92636393856154,
      2.92636393856154,
      26.3372754470539,
      27.6178487207042,
      0,
      0,
      24.7673367061248,
      34.0016072966409,
      35.6866668877254,
      36.1911532052205,
      36.2020227704307,
      28.8448085777662,
      28.7340775044731,
      28.7384253305556,
      31.3237619046126,
      31.3194140785295,
      27.8646507798231,
      29.6715879931006,
      29.5889792975303,
      29.3215879934402,
      28.7301451542179,
      1.33505959133993,
      29.6628923409354,
      29.4759358193755,
      29.3737619064321,
      26.0620613927012,
      34.0603029487768,
      36.4455010311438,
      36.2215879878091,
      36.2150662486829,
      32.066547705732,
      31.4623383718495,
      30.6904607501753,
      34.2498488587614,
      34.2476749457196,
      31.6646507765654,
      32.6759358165225,
      32.2802836429227,
      32.2824575559643,
      27.9123383748138,
      29.3824575585973,
      29.3759358194734,
      20.430518679714,
      0,
      0,
      17.418264198266,
      33.9972594705568,
      35.6866668877253,
      36.2020227704307,
      36.1998488573887,
      29.514373794645,
      28.7036427218915,
      28.7253818523064,
      31.3346314698204,
      31.3389792959036,
      26.733939014378,
      29.5476749497433,
      29.6976749496019,
      29.3215879934401,
      21.6829695754814,
      28.7431886324666,
      25.6859744364558,
      29.5889792975274,
      29.3868053846802,
      22.3635428493982,
      36.5795492320193,
      4.38954590784231,
      0,
      0,
      26.3372754470539,
      43.8737199479908,
      29.2636393856154,
      21.9259904087792,
      34.5598455236738,
      52.9616459070103,
      45.3586410477039,
      44.9805186693845,
      16.3690531967379,
      10.2422737849654,
      39.5059131705808,
      14.6318196928077,
      10.8793687978458,
      36.9105379795028,
      19.4280258309371,
      16.2505959112281,
      33.9972594705568,
      35.7475364529064,
      36.1911532052205,
      36.1933271182626,
      30.8732079376125,
      28.7210340262237,
      28.740599243597,
      31.3411532089452,
      31.3215879915711,
      27.6797296793562,
      29.5694140801546,
      29.6889792974342,
      29.3389792977708,
      18.4953205969888,
      19.1193721318311,
      23.8072980928054,
      27.027555766918,
      29.3759358194734,
      29.4150662542181,
      31.8121998799004,
      34.0537812096519,
      36.391153205092,
      36.221587987809,
      35.4540581922197,
      29.2358359415479,
      32.2037812109363,
      34.3476749456459,
      34.2433271196358,
      31.257990545912,
      29.014373794958,
      32.3889792950069,
      32.2802836429228,
      27.9426346654676,
      29.4781097324171,
      29.3998488629281,
      29.3476749499359,
      29.3650662542665,
      13.4376909270114,
      7.95573273831718,
      34.010302948809,
      36.5237619006635,
      36.2020227704307,
      36.2020227704307,
      30.7252433589327,
      28.7297296783898,
      28.0556781435951,
      31.3194140785296,
      31.3150662524464,
      27.9275557660797,
      29.5541966888648,
      29.7324575582607,
      29.3650662542668,
      29.3520227760188,
      3.85083094807885,
      18.0712690619515,
      29.5911532105688,
      29.3846314716386,
      29.367240167308,
      7.01674079615796,
      13.1686377235269,
      62.9168246790731,
      56.1274172627397,
      60.0037812011886,
      46.3374558820742,
      26.3372754470539,
      42.4322771091424,
      56.388148336723,
      62.9168246790731,
      13.1686377235269,
      0,
      29.2527698203992,
      55.6009148326693,
      37.7057746796006,
      32.1900033241769,
      29.1810306899727,
      67.2585444999644,
      45.3586410477039,
      48.0377328649281,
      34.0385638183557,
      35.767101670284,
      36.2107184225988,
      36.1933271182626,
      32.8950855583328,
      28.8058166348456,
      29.4385638218497,
      31.3389792959036,
      31.3411532089451,
      28.160164461518,
      29.5759358192804,
      29.7455010365116,
      29.3302836456055,
      29.3237619064815,
      29.3324575586478,
      24.5009148449706,
      27.0362514190836,
      29.3715879933907,
      29.3846314716388,
      30.0404607509058,
      34.03204207923,
      35.6149277573356,
      36.2020227704307,
      36.2063705965148,
      31.9145122845753,
      32.1711725153076,
      31.4145122849265,
      34.2520227718032,
      34.2737619022219,
      27.8075750730934,
      31.2539197035229,
      32.284631469006,
      27.2640968126663,
      29.5107184280377,
      29.3781097325147,
      29.247674950035,
      25.8817651021551,
      0,
      0,
      35.2360709713308,
      44.456744117226,
      66.5107184130981,
      30.7224735288097,
      42.4322771091423,
      54.1333850373021,
      45.2651627868448,
      13.1468985930946,
      19.02136560065,
      32.190003324177,
      43.8954590784231,
      53.5856974416379,
      55.52048005007,
      32.1900033241769,
      45.0390758303501,
      21.9477295392116,
      61.3210340141557,
      27.8004574163346,
      13.1686377235269,
      50.3678906640663,
      38.2670597184097,
      40.2669212269071,
      48.2850049862654,
      21.9477295392116,
      43.8737199479908,
      39.5059131705808,
      46.8218230169847,
      45.3586410477039,
      0,
      0,
      19.02136560065,
      51.8529502549975,
      51.0136813291066,
      0,
      8.77909181568462,
      0,
      31.2946281328287,
      64.4368053699199,
      67.3063705869155
    ],
    "drum_onset_timestamps": [
      20.5546666666667,
      21.7493333333333,
      22.9546666666667,
      24.1493333333333,
      25.3546666666667,
      26.5493333333333,
      27.7546666666667,
      28.9493333333333,
      30.1546666666667,
      31.3493333333333,
      32.544,
      33.7493333333333,
      34.9546666666667,
      36.1493333333333,
      37.3546666666667,
      38.5493333333333,
      39.168,
      39.456,
      39.7546666666667,
      39.9146666666667,
      40.064,
      40.1813333333333,
      40.3626666666667,
      40.6613333333333,
      40.9493333333333,
      41.2586666666667,
      41.5573333333333,
      41.856,
      42.0053333333333,
      42.1546666666667,
      42.3146666666667,
      42.464,
      42.7626666666667,
      43.0613333333333,
      43.3493333333333,
      43.6586666666667,
      43.9573333333333,
      44.256,
      44.4053333333333,
      44.544,
      44.7253333333333,
      44.8533333333333,
      45.1626666666667,
      45.4613333333333,
      45.7493333333333,
      46.0586666666667,
      46.3573333333333,
      46.656,
      46.8053333333333,
      46.9546666666667,
      47.1253333333333,
      47.2533333333333,
      47.5626666666667,
      47.8613333333333,
      48.1493333333333,
      48.4586666666667,
      48.7573333333333,
      49.056,
      49.2053333333333,
      49.3546666666667,
      49.5146666666667,
      49.6533333333333,
      49.9626666666667,
      50.2613333333333,
      50.5493333333333,
      50.8586666666667,
      51.1573333333333,
      51.456,
      51.6053333333333,
      51.7546666666667,
      51.9253333333333,
      52.0533333333333,
      52.3626666666667,
      52.6613333333333,
      52.9493333333333,
      53.2586666666667,
      53.5573333333333,
      53.856,
      54.0053333333333,
      54.1546666666667,
      54.3253333333333,
      54.464,
      54.7626666666667,
      55.0613333333333,
      55.3493333333333,
      55.6586666666667,
      55.9573333333333,
      56.256,
      56.5546666666667,
      56.7253333333333,
      56.864,
      57.1626666666667,
      57.4613333333333,
      57.7493333333333,
      58.0693333333333,
      58.368,
      58.4853333333333,
      58.656,
      58.816,
      58.9546666666667,
      59.1146666666667,
      59.2533333333333,
      59.3813333333333,
      59.5626666666667,
      59.8613333333333,
      60.1493333333333,
      60.4586666666667,
      60.7573333333333,
      61.056,
      61.2053333333333,
      61.3546666666667,
      61.5146666666667,
      61.6533333333333,
      61.9626666666667,
      62.112,
      62.2613333333333,
      62.5493333333333,
      62.8586666666667,
      63.1573333333333,
      63.456,
      63.6053333333333,
      63.7546666666667,
      63.9253333333333,
      64.0533333333333,
      64.3626666666667,
      64.6613333333333,
      64.9493333333333,
      65.2586666666667,
      65.5573333333333,
      65.856,
      66.0053333333333,
      66.1546666666667,
      66.3253333333333,
      66.4533333333333,
      66.7626666666667,
      67.0613333333333,
      67.3493333333333,
      67.6586666666667,
      68.5546666666667,
      69.7493333333333,
      70.9546666666667,
      72.1493333333333,
      73.3546666666667,
      74.5493333333333,
      75.7546666666667,
      76.9493333333333,
      77.568,
      77.6853333333333,
      77.856,
      78.1546666666667,
      78.3253333333333,
      78.464,
      78.7626666666667,
      79.0613333333333,
      79.3493333333333,
      79.6586666666667,
      79.9573333333333,
      80.256,
      80.5546666666667,
      80.7146666666667,
      80.8533333333333,
      81.1626666666667,
      81.4613333333333,
      81.7493333333333,
      82.0586666666667,
      82.3573333333333,
      82.656,
      82.8053333333333,
      82.9546666666667,
      83.1253333333333,
      83.2533333333333,
      83.5626666666667,
      83.8613333333333,
      84.1493333333333,
      84.4586666666667,
      84.7573333333333,
      85.056,
      85.2053333333333,
      85.344,
      85.5253333333333,
      85.6533333333333,
      85.9626666666667,
      86.2613333333333,
      86.5493333333333,
      86.8586666666667,
      87.1573333333333,
      87.456,
      87.6053333333333,
      87.7546666666667,
      87.9253333333333,
      88.064,
      88.3626666666667,
      88.6613333333333,
      88.9493333333333,
      89.2586666666667,
      89.5573333333333,
      89.856,
      90.0053333333333,
      90.1546666666667,
      90.3146666666667,
      90.4533333333333,
      90.7626666666667,
      91.0613333333333,
      91.3493333333333,
      91.6586666666667,
      91.9573333333333,
      92.256,
      92.4053333333333,
      92.5546666666667,
      92.7253333333333,
      92.864,
      93.1626666666667,
      93.4613333333333,
      93.7493333333333,
      94.0586666666667,
      94.3573333333333,
      94.656,
      94.944,
      95.1253333333333,
      95.264,
      95.5626666666667,
      95.8613333333333,
      96.1493333333333,
      96.4586666666667,
      97.0666666666667,
      97.3546666666667,
      97.5146666666667,
      97.9626666666667,
      98.2613333333333,
      98.5493333333333,
      99.4666666666667,
      99.7546666666667,
      99.9146666666667,
      100.362666666667,
      100.661333333333,
      100.949333333333,
      101.866666666667,
      102.154666666667,
      102.325333333333,
      102.762666666667,
      103.061333333333,
      103.349333333333,
      104.266666666667,
      104.554666666667,
      104.725333333333,
      105.162666666667,
      105.461333333333,
      105.749333333333,
      106.666666666667,
      106.944,
      107.114666666667,
      107.562666666667,
      107.861333333333,
      108.149333333333,
      109.066666666667,
      109.354666666667,
      109.525333333333,
      109.962666666667,
      110.261333333333,
      110.549333333333,
      111.466666666667,
      111.754666666667,
      111.914666666667,
      112.362666666667,
      112.661333333333,
      112.949333333333,
      113.866666666667,
      114.154666666667,
      114.325333333333,
      114.762666666667,
      115.061333333333,
      115.349333333333,
      115.968,
      116.256,
      116.554666666667,
      116.714666666667,
      116.864,
      117.002666666667,
      117.162666666667,
      117.461333333333,
      117.749333333333,
      118.058666666667,
      118.357333333333,
      118.656,
      118.805333333333,
      118.954666666667,
      119.125333333333,
      119.253333333333,
      119.562666666667,
      119.861333333333,
      120.149333333333,
      120.458666666667,
      120.757333333333,
      121.056,
      121.205333333333,
      121.354666666667,
      121.525333333333,
      121.653333333333,
      121.962666666667,
      122.261333333333,
      122.549333333333,
      122.858666666667,
      123.157333333333,
      123.456,
      123.605333333333,
      123.754666666667,
      123.925333333333,
      124.053333333333,
      124.362666666667,
      124.661333333333,
      124.949333333333,
      125.258666666667,
      125.557333333333,
      125.856,
      126.154666666667,
      126.314666666667,
      126.453333333333,
      126.762666666667,
      127.061333333333,
      127.349333333333,
      127.658666666667,
      127.957333333333,
      128.096,
      128.256,
      128.405333333333,
      128.554666666667,
      128.725333333333,
      128.853333333333,
      129.162666666667,
      129.461333333333,
      129.749333333333,
      130.058666666667,
      130.357333333333,
      130.656,
      130.816,
      130.954666666667,
      131.114666666667,
      131.264,
      131.562666666667,
      131.861333333333,
      132.149333333333,
      132.458666666667,
      132.757333333333,
      133.056,
      133.354666666667,
      133.525333333333,
      133.664,
      133.962666666667,
      134.261333333333,
      134.549333333333,
      135.168,
      135.456,
      135.754666666667,
      135.925333333333,
      136.064,
      136.362666666667,
      136.661333333333,
      136.949333333333,
      137.258666666667,
      137.557333333333,
      137.856,
      138.005333333333,
      138.154666666667,
      138.325333333333,
      138.453333333333,
      138.762666666667,
      139.061333333333,
      139.349333333333,
      139.658666666667,
      139.957333333333,
      140.256,
      140.405333333333,
      140.544,
      140.725333333333,
      140.853333333333,
      141.162666666667,
      141.461333333333,
      141.749333333333,
      142.058666666667,
      142.357333333333,
      142.656,
      142.805333333333,
      142.954666666667,
      143.125333333333,
      143.253333333333,
      143.562666666667,
      143.861333333333,
      144.149333333333,
      144.458666666667,
      145.056,
      145.354666666667,
      145.514666666667,
      145.962666666667,
      146.261333333333,
      146.549333333333,
      147.328,
      147.466666666667,
      147.754666666667,
      147.925333333333,
      148.362666666667,
      148.661333333333,
      148.949333333333,
      149.856,
      150.154666666667,
      150.325333333333,
      150.762666666667,
      151.061333333333,
      151.349333333333,
      152.266666666667,
      152.544,
      152.725333333333,
      153.173333333333,
      153.461333333333,
      153.749333333333,
      154.357333333333,
      154.474666666667,
      154.656,
      154.954666666667,
      155.125333333333,
      155.264,
      155.381333333333,
      155.562666666667,
      155.861333333333,
      156.149333333333,
      156.458666666667,
      156.757333333333,
      157.056,
      157.205333333333,
      157.354666666667,
      157.514666666667,
      157.653333333333,
      157.962666666667,
      158.261333333333,
      158.549333333333,
      158.858666666667,
      159.157333333333,
      159.456,
      159.605333333333,
      159.754666666667,
      159.925333333333,
      160.053333333333,
      160.362666666667,
      160.661333333333,
      160.949333333333,
      161.258666666667,
      161.557333333333,
      161.856,
      162.005333333333,
      162.154666666667,
      162.325333333333,
      162.453333333333,
      162.762666666667,
      163.061333333333,
      163.349333333333,
      163.658666666667,
      163.957333333333,
      164.096,
      164.256,
      164.416,
      164.554666666667,
      164.725333333333,
      164.864,
      165.162666666667,
      165.461333333333,
      165.749333333333,
      166.058666666667,
      166.357333333333,
      166.656,
      166.805333333333,
      166.954666666667,
      167.114666666667,
      167.253333333333,
      167.562666666667,
      167.861333333333,
      168.149333333333,
      168.458666666667,
      168.757333333333,
      169.056,
      169.205333333333,
      169.354666666667,
      169.525333333333,
      169.664,
      169.962666666667,
      170.261333333333,
      170.549333333333,
      170.858666666667,
      171.157333333333,
      171.456,
      171.744,
      171.925333333333,
      172.064,
      172.362666666667,
      172.661333333333,
      172.949333333333,
      173.258666666667,
      174.154666666667,
      175.349333333333,
      176.544,
      176.864,
      177.749333333333,
      178.357333333333,
      178.805333333333,
      178.954666666667,
      179.253333333333,
      180.149333333333,
      181.205333333333,
      181.354666666667,
      181.653333333333,
      182.549333333333,
      183.754666666667,
      184.949333333333,
      186.144,
      187.349333333333,
      188.554666666667,
      189.749333333333,
      190.954666666667,
      192.149333333333,
      192.768,
      193.056,
      193.354666666667,
      193.525333333333,
      193.664,
      193.770666666667,
      193.962666666667,
      194.261333333333,
      194.549333333333,
      194.858666666667,
      195.157333333333,
      195.456,
      195.605333333333,
      195.754666666667,
      195.925333333333,
      196.053333333333,
      196.362666666667,
      196.661333333333,
      196.949333333333,
      197.258666666667,
      197.557333333333,
      197.856,
      198.005333333333,
      198.154666666667,
      198.325333333333,
      198.453333333333,
      198.762666666667,
      199.061333333333,
      199.349333333333,
      199.658666666667,
      199.957333333333,
      200.256,
      200.405333333333,
      200.554666666667,
      200.725333333333,
      200.853333333333,
      201.162666666667,
      201.461333333333,
      201.749333333333,
      202.058666666667,
      202.357333333333,
      202.485333333333,
      202.656,
      202.805333333333,
      202.944,
      203.114666666667,
      203.264,
      203.562666666667,
      203.861333333333,
      204.149333333333,
      204.458666666667,
      204.757333333333,
      205.056,
      205.205333333333,
      205.354666666667,
      205.525333333333,
      205.653333333333,
      205.962666666667,
      206.261333333333,
      206.549333333333,
      206.858666666667,
      207.157333333333,
      207.456,
      207.605333333333,
      207.754666666667,
      207.925333333333,
      208.064,
      208.362666666667,
      208.661333333333,
      208.949333333333,
      209.258666666667,
      209.557333333333,
      209.856,
      210.154666666667,
      210.325333333333,
      210.464,
      210.762666666667,
      211.061333333333,
      211.349333333333,
      211.669333333333,
      212.554666666667,
      213.749333333333,
      214.954666666667,
      216.149333333333,
      217.354666666667,
      218.549333333333,
      219.754666666667,
      220.949333333333,
      222.154666666667,
      223.349333333333,
      224.554666666667,
      225.749333333333,
      226.954666666667
    ],
    "drum_onset_strengths": [
      0.777353048324585,
      0.649147152900696,
      0.83605170249939,
      0.706795573234558,
      0.910303890705109,
      0.754595577716827,
      0.908189415931702,
      0.654923677444458,
      0.829559445381165,
      0.649999797344208,
      0.176273927092552,
      0.624326229095459,
      0.840856313705444,
      0.630800724029541,
      0.964664399623871,
      0.610145211219788,
      0.395972549915314,
      0.244841873645782,
      0.658479452133179,
      0.105573117733002,
      0.516446530818939,
      0.093233086168766,
      0.510004699230194,
      0.465370714664459,
      0.554623544216156,
      0.272393703460693,
      0.179731160402298,
      0.275805741548538,
      0.131708890199661,
      0.844993412494659,
      0.114018477499485,
      0.52651834487915,
      0.520028829574585,
      0.45607602596283,
      0.627858996391296,
      0.258352398872375,
      0.611507534980774,
      0.262427657842636,
      0.317075043916702,
      0.211822271347046,
      0.16472452878952,
      0.318984657526016,
      0.342416793107986,
      0.464085549116135,
      0.670377552509308,
      0.296956211328506,
      0.177942171692848,
      0.144858956336975,
      0.373551189899445,
      0.75977623462677,
      0.196132972836494,
      0.351029396057129,
      0.416908472776413,
      0.405985772609711,
      0.575539112091064,
      0.283579260110855,
      0.421118676662445,
      0.173173606395721,
      0.155163764953613,
      0.802928566932678,
      0.101407445967197,
      0.24278324842453,
      0.495990693569183,
      0.446954369544983,
      0.597114086151123,
      0.231077685952187,
      0.567360699176788,
      0.250639468431473,
      0.379993498325348,
      0.727219462394714,
      0.182436883449554,
      0.290184617042542,
      0.507619559764862,
      0.440556645393372,
      0.610750257968903,
      0.230028837919235,
      0.617290377616882,
      0.206599950790405,
      0.275742262601852,
      0.68131560087204,
      0.213302820920944,
      0.434234231710434,
      0.478782802820206,
      0.402590066194534,
      0.571732044219971,
      0.253865391016006,
      0.23480062186718,
      0.293355345726013,
      0.934010922908783,
      0.225023075938225,
      0.441911607980728,
      0.430339813232422,
      0.455247431993484,
      0.563262104988098,
      0.228738501667976,
      0.405014634132385,
      0.105419531464577,
      0.247566610574722,
      0.107504069805145,
      0.705165922641754,
      0.131914705038071,
      0.196258664131165,
      0.0852281376719475,
      0.382924318313599,
      0.465227276086807,
      0.521875858306885,
      0.267671674489975,
      0.819337248802185,
      0.219576641917229,
      0.405523508787155,
      0.823617935180664,
      0.13591206073761,
      0.350064903497696,
      0.572079122066498,
      0.0916927307844162,
      0.490339279174805,
      0.628515183925629,
      0.259296953678131,
      0.75711578130722,
      0.237305283546448,
      0.316282242536545,
      0.669273436069489,
      0.158542394638062,
      0.327188849449158,
      0.548000335693359,
      0.381718397140503,
      0.713081002235413,
      0.306095778942108,
      0.184344589710236,
      0.178759098052979,
      0.354757338762283,
      0.627590954303741,
      0.235844030976295,
      0.344673186540604,
      0.499946802854538,
      0.456584692001343,
      0.626567661762238,
      0.2702856361866,
      0.847082853317261,
      0.704435646533966,
      0.824423432350159,
      0.64399391412735,
      0.836431860923767,
      0.65161544084549,
      0.99228310585022,
      0.595755398273468,
      0.425008952617645,
      0.118266887962818,
      0.238674029707909,
      0.682196319103241,
      0.282128542661667,
      0.514789044857025,
      0.50260591506958,
      0.499755352735519,
      0.63479882478714,
      0.261061936616898,
      0.229090943932533,
      0.249667152762413,
      0.777016758918762,
      0.142869353294373,
      0.18911337852478,
      0.460038304328918,
      0.466293573379517,
      0.680279135704041,
      0.277651250362396,
      0.699687838554382,
      0.286211311817169,
      0.289750725030899,
      0.799870014190674,
      0.197707206010818,
      0.31690588593483,
      0.51744157075882,
      0.438414454460144,
      0.724955022335052,
      0.287912517786026,
      0.17882339656353,
      0.182298794388771,
      0.351322591304779,
      0.183650448918343,
      0.181814655661583,
      0.280700832605362,
      0.58651214838028,
      0.44648939371109,
      0.621195614337921,
      0.259584009647369,
      0.397473126649857,
      0.185655504465103,
      0.107182539999485,
      0.809594392776489,
      0.221017420291901,
      0.575792729854584,
      0.446249097585678,
      0.46921369433403,
      0.643137991428375,
      0.227360963821411,
      0.35818338394165,
      0.266433745622635,
      0.168761029839516,
      0.761595666408539,
      0.164129003882408,
      0.173481002449989,
      0.448812246322632,
      0.412119209766388,
      0.576827585697174,
      0.241404220461845,
      0.579537391662598,
      0.207296162843704,
      0.31955099105835,
      0.731690943241119,
      0.201918438076973,
      0.377729952335358,
      0.487272918224335,
      0.450489014387131,
      0.643723487854004,
      0.253451079130173,
      0.220938965678215,
      0.304471880197525,
      0.179818511009216,
      0.224597781896591,
      0.435380458831787,
      0.477787524461746,
      0.509105920791626,
      0.526460886001587,
      0.12167302519083,
      0.275287359952927,
      0.78228896856308,
      0.106620706617832,
      0.164154633879662,
      0.232989594340324,
      0.584957003593445,
      0.320847451686859,
      0.832626640796661,
      0.124525286257267,
      0.160946279764175,
      0.2215206772089,
      0.674563705921173,
      0.320778608322144,
      0.988383173942566,
      0.226234167814255,
      0.232103154063225,
      0.206277996301651,
      0.766248047351837,
      0.297628849744797,
      0.880842268466949,
      0.179920077323914,
      0.183767095208168,
      0.205626502633095,
      0.668121516704559,
      0.354685455560684,
      0.17286391556263,
      0.113106228411198,
      0.211800709366798,
      0.167774990200996,
      0.659465134143829,
      0.370886951684952,
      0.756341338157654,
      0.203894257545471,
      0.156423538923264,
      0.129037395119667,
      0.626857042312622,
      0.355810195207596,
      0.789375841617584,
      0.109671138226986,
      0.1827182918787,
      0.193572923541069,
      0.650192260742188,
      0.252536475658417,
      0.958463191986084,
      0.242442294955254,
      0.226316094398499,
      0.270644247531891,
      0.602064669132233,
      0.360372632741928,
      0.265668749809265,
      0.726445972919464,
      0.121042124927044,
      0.473224282264709,
      0.0922449603676796,
      0.509870767593384,
      0.458422422409058,
      0.542470157146454,
      0.293082594871521,
      0.374773442745209,
      0.272583901882172,
      0.30327233672142,
      0.758463680744171,
      0.221384093165398,
      0.390732079744339,
      0.514281332492828,
      0.467849045991898,
      0.652808248996735,
      0.262436956167221,
      0.679026663303375,
      0.268401086330414,
      0.337119936943054,
      0.777062058448792,
      0.21988108754158,
      0.300099819898605,
      0.573580384254456,
      0.45021453499794,
      0.690662264823914,
      0.293596088886261,
      0.172842100262642,
      0.156720921397209,
      0.36876517534256,
      0.702455163002014,
      0.216376096010208,
      0.300096064805984,
      0.49540650844574,
      0.47376811504364,
      0.606989502906799,
      0.280129283666611,
      0.223406061530113,
      0.227967515587807,
      0.858271300792694,
      0.104530595242977,
      0.366511702537537,
      0.419919192790985,
      0.445802122354507,
      0.615541040897369,
      0.230658814311028,
      0.407542705535889,
      0.0880114734172821,
      0.290671557188034,
      0.170977741479874,
      0.79341584444046,
      0.219926208257675,
      0.266430169343948,
      0.482740461826324,
      0.422707140445709,
      0.637602567672729,
      0.257592409849167,
      0.558063626289368,
      0.192224726080894,
      0.104007162153721,
      0.741895079612732,
      0.102660730481148,
      0.372338891029358,
      0.511356294155121,
      0.468477874994278,
      0.609659850597382,
      0.259615987539291,
      0.219380751252174,
      0.315999388694763,
      0.929575979709625,
      0.217230126261711,
      0.449836760759354,
      0.432091325521469,
      0.459758907556534,
      0.573556840419769,
      0.390664041042328,
      0.261127501726151,
      0.819678544998169,
      0.211637869477272,
      0.465299248695374,
      0.425032556056976,
      0.452815055847168,
      0.58812153339386,
      0.250168085098267,
      0.306150943040848,
      0.288669258356094,
      0.299507766962051,
      0.764618456363678,
      0.213203191757202,
      0.283922463655472,
      0.533769965171814,
      0.485744446516037,
      0.634205520153046,
      0.246549159288406,
      0.613494515419006,
      0.228031530976295,
      0.297643780708313,
      0.215726628899574,
      0.179088339209557,
      0.355156511068344,
      0.503924429416656,
      0.406512320041656,
      0.691802680492401,
      0.272723227739334,
      0.188561201095581,
      0.17258457839489,
      0.341493397951126,
      0.711745321750641,
      0.236528038978577,
      0.349669456481934,
      0.561148643493652,
      0.489518910646439,
      0.586831569671631,
      0.274867713451385,
      0.134975045919418,
      0.847945213317871,
      0.111071370542049,
      0.171115577220917,
      0.201982170343399,
      0.711594462394714,
      0.0873374417424202,
      0.304891258478165,
      0.791457951068878,
      0.262357145547867,
      0.132523983716965,
      0.17573606967926,
      0.631743371486664,
      0.155752137303352,
      0.771147429943085,
      0.252798914909363,
      0.131515070796013,
      0.192609965801239,
      0.62746262550354,
      0.278829246759415,
      0.211746707558632,
      0.264212250709534,
      0.374740898609161,
      0.152253001928329,
      0.579890727996826,
      0.13667294383049,
      0.11636820435524,
      0.241559728980064,
      0.640050530433655,
      0.301488101482391,
      0.535426676273346,
      0.10416517406702,
      0.555555701255798,
      0.497926950454712,
      0.655487179756165,
      0.254874050617218,
      0.504034459590912,
      0.262798696756363,
      0.273882418870926,
      0.781787574291229,
      0.128166496753693,
      0.330242842435837,
      0.472542852163315,
      0.464217990636826,
      0.682134091854095,
      0.267486393451691,
      0.70799708366394,
      0.292286038398743,
      0.293168425559998,
      0.784327447414398,
      0.195696994662285,
      0.31216835975647,
      0.486763656139374,
      0.445600658655167,
      0.76562625169754,
      0.280725598335266,
      0.177827760577202,
      0.171491533517838,
      0.276087820529938,
      0.783468127250671,
      0.185992479324341,
      0.173712626099586,
      0.564159750938416,
      0.44072613120079,
      0.610957384109497,
      0.258244514465332,
      0.365153074264526,
      0.0863476917147636,
      0.173801749944687,
      0.0904949605464935,
      0.828297734260559,
      0.246842592954636,
      0.570919930934906,
      0.455532908439636,
      0.471230566501617,
      0.672158181667328,
      0.227143064141273,
      0.348065704107285,
      0.264351636171341,
      0.0968179330229759,
      0.76862633228302,
      0.139449656009674,
      0.193299144506454,
      0.44448447227478,
      0.42539918422699,
      0.626330137252808,
      0.257157474756241,
      0.687195658683777,
      0.201529979705811,
      0.132476940751076,
      0.748553991317749,
      0.198591887950897,
      0.367964684963226,
      0.482545077800751,
      0.456651151180267,
      0.634764552116394,
      0.25945457816124,
      0.225972324609756,
      0.303952097892761,
      0.212622418999672,
      0.205660000443459,
      0.414530783891678,
      0.45621445775032,
      0.492668151855469,
      0.57955664396286,
      0.153929889202118,
      0.706392109394073,
      0.591165900230408,
      0.183342263102531,
      0.109527558088303,
      0.66144722700119,
      0.302361279726028,
      0.23811611533165,
      0.781502723693848,
      0.29477059841156,
      0.699833452701569,
      0.328849047422409,
      0.72537750005722,
      0.232382014393806,
      0.62624329328537,
      0.850614786148071,
      0.629614591598511,
      0.179856643080711,
      0.60966569185257,
      0.811644613742828,
      0.597754240036011,
      0.94769960641861,
      0.611996710300446,
      0.391757220029831,
      0.260237544775009,
      0.752816379070282,
      0.227711230516434,
      0.61174213886261,
      0.123334981501102,
      0.497004359960556,
      0.483926326036453,
      0.632048010826111,
      0.250491946935654,
      0.555557548999786,
      0.26769545674324,
      0.319136023521423,
      0.880692064762115,
      0.247661173343658,
      0.392730414867401,
      0.535148561000824,
      0.451245337724686,
      0.704403042793274,
      0.241132244467735,
      0.714076995849609,
      0.231082618236542,
      0.28619983792305,
      0.907183468341827,
      0.196599543094635,
      0.359356552362442,
      0.504420518875122,
      0.449592262506485,
      0.751401364803314,
      0.290437966585159,
      0.180708840489388,
      0.216479778289795,
      0.126803040504456,
      0.921969771385193,
      0.205490007996559,
      0.182845592498779,
      0.482544183731079,
      0.438862174749374,
      0.640833497047424,
      0.276284396648407,
      0.248907044529915,
      0.0985733717679977,
      0.180342346429825,
      0.0819691047072411,
      0.185897246003151,
      0.113409124314785,
      0.582661271095276,
      0.510440826416016,
      0.485499352216721,
      0.720970749855042,
      0.226012945175171,
      0.593218326568604,
      0.286035716533661,
      0.346676051616669,
      0.844004809856415,
      0.204995304346085,
      0.482176780700684,
      0.465050220489502,
      0.447717756032944,
      0.684750199317932,
      0.248319506645203,
      0.714205920696259,
      0.212997108697891,
      0.370144963264465,
      0.712007999420166,
      0.192035406827927,
      0.392243295907974,
      0.501032114028931,
      0.452490031719208,
      0.689371287822723,
      0.253628969192505,
      0.223803341388702,
      0.276817262172699,
      1,
      0.206015825271606,
      0.369560539722443,
      0.479806035757065,
      0.46139058470726,
      0.643802225589752,
      0.246534168720245,
      0.805388748645782,
      0.675560295581818,
      0.899475336074829,
      0.732964873313904,
      0.951079964637756,
      0.786626696586609,
      0.890874743461609,
      0.670915424823761,
      0.947284698486328,
      0.755283534526825,
      0.821520745754242,
      0.704193830490112,
      0.812218010425568
    ],
    "drum_pattern_type": "irregular",
    "drum_pattern_confidence": 0.182524034165825,
    "analysis_created_at": "2026-03-22T16:23:21.322022+00:00",
    "analysis_updated_at": "2026-03-22T16:23:21.888136+00:00",
    "kick_timestamps": [
      40.1813333333333,
      42.0053333333333,
      43.9573333333333,
      44.4053333333333,
      44.8533333333333,
      46.8053333333333,
      47.2533333333333,
      51.1573333333333,
      51.6053333333333,
      54.0053333333333,
      58.4853333333333,
      58.816,
      59.3813333333333,
      60.7573333333333,
      61.2053333333333,
      61.6533333333333,
      63.1573333333333,
      63.6053333333333,
      64.0533333333333,
      66.0053333333333,
      66.4533333333333,
      77.6853333333333,
      80.8533333333333,
      82.3573333333333,
      82.8053333333333,
      83.2533333333333,
      85.2053333333333,
      85.344,
      85.6533333333333,
      87.6053333333333,
      91.9573333333333,
      92.4053333333333,
      117.002666666667,
      118.805333333333,
      119.253333333333,
      120.757333333333,
      121.205333333333,
      121.653333333333,
      123.605333333333,
      124.053333333333,
      128.096,
      130.816,
      138.005333333333,
      139.957333333333,
      140.405333333333,
      140.544,
      140.853333333333,
      142.805333333333,
      142.954666666667,
      143.253333333333,
      154.474666666667,
      155.381333333333,
      156.757333333333,
      157.205333333333,
      157.653333333333,
      159.157333333333,
      159.605333333333,
      160.053333333333,
      162.005333333333,
      162.453333333333,
      164.096,
      168.757333333333,
      178.357333333333,
      178.805333333333,
      178.954666666667,
      179.253333333333,
      181.205333333333,
      181.653333333333,
      193.770666666667,
      195.157333333333,
      195.605333333333,
      196.053333333333,
      197.557333333333,
      198.005333333333,
      198.453333333333,
      200.405333333333,
      202.485333333333,
      204.757333333333,
      205.205333333333,
      205.653333333333,
      207.157333333333,
      207.605333333333
    ],
    "snare_timestamps": [
      49.2053333333333,
      62.112,
      90.0053333333333,
      128.405333333333,
      164.416,
      166.805333333333,
      169.205333333333,
      202.805333333333
    ],
    "hihat_timestamps": [
      20.5546666666667,
      21.7493333333333,
      22.9546666666667,
      24.1493333333333,
      25.3546666666667,
      26.5493333333333,
      27.7546666666667,
      28.9493333333333,
      30.1546666666667,
      31.3493333333333,
      32.544,
      33.7493333333333,
      34.9546666666667,
      36.1493333333333,
      37.3546666666667,
      38.5493333333333,
      39.168,
      39.456,
      39.7546666666667,
      39.9146666666667,
      40.064,
      40.3626666666667,
      40.6613333333333,
      40.9493333333333,
      41.2586666666667,
      41.5573333333333,
      41.856,
      42.1546666666667,
      42.3146666666667,
      42.464,
      42.7626666666667,
      43.0613333333333,
      43.3493333333333,
      43.6586666666667,
      44.256,
      44.544,
      44.7253333333333,
      45.1626666666667,
      45.4613333333333,
      45.7493333333333,
      46.0586666666667,
      46.3573333333333,
      46.656,
      46.9546666666667,
      47.1253333333333,
      47.5626666666667,
      47.8613333333333,
      48.1493333333333,
      48.4586666666667,
      48.7573333333333,
      49.056,
      49.3546666666667,
      49.5146666666667,
      49.6533333333333,
      49.9626666666667,
      50.2613333333333,
      50.5493333333333,
      50.8586666666667,
      51.456,
      51.7546666666667,
      51.9253333333333,
      52.0533333333333,
      52.3626666666667,
      52.6613333333333,
      52.9493333333333,
      53.2586666666667,
      53.5573333333333,
      53.856,
      54.1546666666667,
      54.3253333333333,
      54.464,
      54.7626666666667,
      55.0613333333333,
      55.3493333333333,
      55.6586666666667,
      55.9573333333333,
      56.256,
      56.5546666666667,
      56.7253333333333,
      56.864,
      57.1626666666667,
      57.4613333333333,
      57.7493333333333,
      58.0693333333333,
      58.368,
      58.656,
      58.9546666666667,
      59.1146666666667,
      59.2533333333333,
      59.5626666666667,
      59.8613333333333,
      60.1493333333333,
      60.4586666666667,
      61.056,
      61.3546666666667,
      61.5146666666667,
      61.9626666666667,
      62.2613333333333,
      62.5493333333333,
      62.8586666666667,
      63.456,
      63.7546666666667,
      63.9253333333333,
      64.3626666666667,
      64.6613333333333,
      64.9493333333333,
      65.2586666666667,
      65.5573333333333,
      65.856,
      66.1546666666667,
      66.3253333333333,
      66.7626666666667,
      67.0613333333333,
      67.3493333333333,
      67.6586666666667,
      68.5546666666667,
      69.7493333333333,
      70.9546666666667,
      72.1493333333333,
      73.3546666666667,
      74.5493333333333,
      75.7546666666667,
      76.9493333333333,
      77.568,
      77.856,
      78.1546666666667,
      78.3253333333333,
      78.464,
      78.7626666666667,
      79.0613333333333,
      79.3493333333333,
      79.6586666666667,
      79.9573333333333,
      80.256,
      80.5546666666667,
      80.7146666666667,
      81.1626666666667,
      81.4613333333333,
      81.7493333333333,
      82.0586666666667,
      82.656,
      82.9546666666667,
      83.1253333333333,
      83.5626666666667,
      83.8613333333333,
      84.1493333333333,
      84.4586666666667,
      84.7573333333333,
      85.056,
      85.5253333333333,
      85.9626666666667,
      86.2613333333333,
      86.5493333333333,
      86.8586666666667,
      87.1573333333333,
      87.456,
      87.7546666666667,
      87.9253333333333,
      88.064,
      88.3626666666667,
      88.6613333333333,
      88.9493333333333,
      89.2586666666667,
      89.5573333333333,
      89.856,
      90.1546666666667,
      90.3146666666667,
      90.4533333333333,
      90.7626666666667,
      91.0613333333333,
      91.3493333333333,
      91.6586666666667,
      92.256,
      92.5546666666667,
      92.7253333333333,
      92.864,
      93.1626666666667,
      93.4613333333333,
      93.7493333333333,
      94.0586666666667,
      94.3573333333333,
      94.656,
      94.944,
      95.1253333333333,
      95.264,
      95.5626666666667,
      95.8613333333333,
      96.1493333333333,
      96.4586666666667,
      97.0666666666667,
      97.3546666666667,
      97.5146666666667,
      97.9626666666667,
      98.2613333333333,
      98.5493333333333,
      99.4666666666667,
      99.7546666666667,
      99.9146666666667,
      100.362666666667,
      100.661333333333,
      100.949333333333,
      101.866666666667,
      102.154666666667,
      102.325333333333,
      102.762666666667,
      103.061333333333,
      103.349333333333,
      104.266666666667,
      104.554666666667,
      104.725333333333,
      105.162666666667,
      105.461333333333,
      105.749333333333,
      106.666666666667,
      106.944,
      107.114666666667,
      107.562666666667,
      107.861333333333,
      108.149333333333,
      109.066666666667,
      109.354666666667,
      109.525333333333,
      109.962666666667,
      110.261333333333,
      110.549333333333,
      111.466666666667,
      111.754666666667,
      111.914666666667,
      112.362666666667,
      112.661333333333,
      112.949333333333,
      113.866666666667,
      114.154666666667,
      114.325333333333,
      114.762666666667,
      115.061333333333,
      115.349333333333,
      115.968,
      116.256,
      116.554666666667,
      116.714666666667,
      116.864,
      117.162666666667,
      117.461333333333,
      117.749333333333,
      118.058666666667,
      118.357333333333,
      118.656,
      118.954666666667,
      119.125333333333,
      119.562666666667,
      119.861333333333,
      120.149333333333,
      120.458666666667,
      121.056,
      121.354666666667,
      121.525333333333,
      121.962666666667,
      122.261333333333,
      122.549333333333,
      122.858666666667,
      123.157333333333,
      123.456,
      123.754666666667,
      123.925333333333,
      124.362666666667,
      124.661333333333,
      124.949333333333,
      125.258666666667,
      125.557333333333,
      125.856,
      126.154666666667,
      126.314666666667,
      126.453333333333,
      126.762666666667,
      127.061333333333,
      127.349333333333,
      127.658666666667,
      127.957333333333,
      128.256,
      128.554666666667,
      128.725333333333,
      128.853333333333,
      129.162666666667,
      129.461333333333,
      129.749333333333,
      130.058666666667,
      130.357333333333,
      130.656,
      130.954666666667,
      131.114666666667,
      131.264,
      131.562666666667,
      131.861333333333,
      132.149333333333,
      132.458666666667,
      132.757333333333,
      133.056,
      133.354666666667,
      133.525333333333,
      133.664,
      133.962666666667,
      134.261333333333,
      134.549333333333,
      135.168,
      135.456,
      135.754666666667,
      135.925333333333,
      136.064,
      136.362666666667,
      136.661333333333,
      136.949333333333,
      137.258666666667,
      137.557333333333,
      137.856,
      138.154666666667,
      138.325333333333,
      138.453333333333,
      138.762666666667,
      139.061333333333,
      139.349333333333,
      139.658666666667,
      140.256,
      140.725333333333,
      141.162666666667,
      141.461333333333,
      141.749333333333,
      142.058666666667,
      142.357333333333,
      142.656,
      143.125333333333,
      143.562666666667,
      143.861333333333,
      144.149333333333,
      144.458666666667,
      145.056,
      145.354666666667,
      145.514666666667,
      145.962666666667,
      146.261333333333,
      146.549333333333,
      147.328,
      147.466666666667,
      147.754666666667,
      147.925333333333,
      148.362666666667,
      148.661333333333,
      148.949333333333,
      149.856,
      150.154666666667,
      150.325333333333,
      150.762666666667,
      151.061333333333,
      151.349333333333,
      152.266666666667,
      152.544,
      152.725333333333,
      153.173333333333,
      153.461333333333,
      153.749333333333,
      154.357333333333,
      154.656,
      154.954666666667,
      155.125333333333,
      155.264,
      155.562666666667,
      155.861333333333,
      156.149333333333,
      156.458666666667,
      157.056,
      157.354666666667,
      157.514666666667,
      157.962666666667,
      158.261333333333,
      158.549333333333,
      158.858666666667,
      159.456,
      159.754666666667,
      159.925333333333,
      160.362666666667,
      160.661333333333,
      160.949333333333,
      161.258666666667,
      161.557333333333,
      161.856,
      162.154666666667,
      162.325333333333,
      162.762666666667,
      163.061333333333,
      163.349333333333,
      163.658666666667,
      163.957333333333,
      164.256,
      164.554666666667,
      164.725333333333,
      164.864,
      165.162666666667,
      165.461333333333,
      165.749333333333,
      166.058666666667,
      166.357333333333,
      166.656,
      166.954666666667,
      167.114666666667,
      167.253333333333,
      167.562666666667,
      167.861333333333,
      168.149333333333,
      168.458666666667,
      169.056,
      169.354666666667,
      169.525333333333,
      169.664,
      169.962666666667,
      170.261333333333,
      170.549333333333,
      170.858666666667,
      171.157333333333,
      171.456,
      171.744,
      171.925333333333,
      172.064,
      172.362666666667,
      172.661333333333,
      172.949333333333,
      173.258666666667,
      174.154666666667,
      175.349333333333,
      176.544,
      176.864,
      177.749333333333,
      180.149333333333,
      181.354666666667,
      182.549333333333,
      183.754666666667,
      184.949333333333,
      186.144,
      187.349333333333,
      188.554666666667,
      189.749333333333,
      190.954666666667,
      192.149333333333,
      192.768,
      193.056,
      193.354666666667,
      193.525333333333,
      193.664,
      193.962666666667,
      194.261333333333,
      194.549333333333,
      194.858666666667,
      195.456,
      195.754666666667,
      195.925333333333,
      196.362666666667,
      196.661333333333,
      196.949333333333,
      197.258666666667,
      197.856,
      198.154666666667,
      198.325333333333,
      198.762666666667,
      199.061333333333,
      199.349333333333,
      199.658666666667,
      199.957333333333,
      200.256,
      200.554666666667,
      200.725333333333,
      200.853333333333,
      201.162666666667,
      201.461333333333,
      201.749333333333,
      202.058666666667,
      202.357333333333,
      202.656,
      202.944,
      203.114666666667,
      203.264,
      203.562666666667,
      203.861333333333,
      204.149333333333,
      204.458666666667,
      205.056,
      205.354666666667,
      205.525333333333,
      205.962666666667,
      206.261333333333,
      206.549333333333,
      206.858666666667,
      207.456,
      207.754666666667,
      207.925333333333,
      208.064,
      208.362666666667,
      208.661333333333,
      208.949333333333,
      209.258666666667,
      209.557333333333,
      209.856,
      210.154666666667,
      210.325333333333,
      210.464,
      210.762666666667,
      211.061333333333,
      211.349333333333,
      211.669333333333,
      212.554666666667,
      213.749333333333,
      214.954666666667,
      216.149333333333,
      217.354666666667,
      218.549333333333,
      219.754666666667,
      220.949333333333,
      222.154666666667,
      223.349333333333,
      224.554666666667,
      225.749333333333,
      226.954666666667
    ]
  },
  "tier2": {
    "motif_uniqueness": 0.64,
    "structural_predictability": 0.76,
    "genre_conformity_score": 0.67,
    "innovation_score": 0.73,
    "signal_entropy": 0.17,
    "hook_density": 0.58,
    "hook_strength": 0.68,
    "emotional_balance": 0.34,
    "narrative_curvature": 0.56,
    "visual_brightness_curve": [
      0,
      0.412301154630666,
      0.709811677365183,
      0.780916266051343,
      0.238226626939741,
      0.532305380606978,
      0.429406411011881,
      0.660545086717726,
      0.729310195973063,
      0.050708117580962,
      0.656638561848453,
      0.631857394537716,
      0.374816796547347,
      0.772465954428557,
      0.30380090758333,
      0.688779358972915,
      0.734996265294554,
      0.63262317458138,
      0.720721414889067,
      0.656869255961005,
      0.764485162106459,
      0.423842529550706,
      0.802791169788904,
      0.632515491986701,
      0.686289607745471,
      0.616108817942525,
      0.531100238416119,
      0.66684458120569,
      0.58071681270928,
      0.210817669705469,
      0.562145625308495,
      0.593311870994294,
      0.510523655612798,
      0.695107825910184,
      0.480694422558225,
      0.626969468341764,
      0.674537513916482,
      0.650294321289746,
      0.673984926529024,
      0.597984837044055,
      0.73853402509701,
      0.850000295042992,
      0.786605442386512,
      0.602792078591693,
      0.583738924440007,
      0.820501629838957,
      0.850000903010368,
      0.769670926817268,
      0.535882013976155,
      0.618595285957821,
      0.824106014705477,
      0.74469454238957,
      0.721181172647461,
      0.487004951964103,
      0.556390327122351,
      0.790647481718663,
      0.825787526017411,
      0.664309324356801,
      0.30559323395949,
      0.670400064400179,
      0.850000813603401,
      0.850000178813934,
      0.816654989985565,
      0.755693936482605,
      0.850000607967377,
      0.850000715255737,
      0.850000455975533,
      0.833698589083158,
      0.75684806581946,
      0.850000938773155,
      0.850000849366188,
      0.850000491738319,
      0.7874525730507,
      0.746434574907592,
      0.850001001358032,
      0.850001233816147,
      0.85000117123127,
      0.732669349160703,
      0.697423896416248,
      0.850000447034836,
      0.850000607967377,
      0.850026509165764,
      0.850022351741791,
      0.850019267201424,
      0.776204949082359,
      0.850001662969589,
      0.850279530882835,
      0.850311422348022,
      0.850643050670624,
      0.850135505199432,
      0.850042602419853,
      0.85025569498539,
      0.850412774085999,
      0.850137400627136,
      0.790799338611382,
      0.850012186169624,
      0.850155514478683,
      0.850441741943359,
      0.850118142366409,
      0.770898332026118,
      0.850020679831505,
      0.850039955973625,
      0.850009477138519,
      0.850000804662704,
      0.781804392650646,
      0.850039875507355,
      0.850011166930199,
      0.850026035308838,
      0.8500005453825,
      0.850001162290573,
      0.85004331767559,
      0.850024738907814,
      0.850004613399506,
      0.850111615657806,
      0.850398486852646,
      0.85005766749382,
      0.733551080835842,
      0.745104504878856,
      0.850001636147499,
      0.850001636147499,
      0.850012096762657,
      0.850032517313957,
      0.850020760297775,
      0.850003862380981,
      0.8500024497509,
      0.850044998526573,
      0.850573375821114,
      0.850378495454788,
      0.85023235976696,
      0.850035664439201,
      0.850172823667526,
      0.850360953807831,
      0.850206530094147,
      0.850066250562668,
      0.84113184873882,
      0.85000296831131,
      0.850253441929817,
      0.850731733441353,
      0.850061127543449,
      0.831465992885197,
      0.850001260638237,
      0.848877548699039,
      0.720149396240763,
      0.850001385807991,
      0.826274461406686,
      0.850000241398811,
      0.850000312924385,
      0.684689296031747,
      0.850000929832458,
      0.850001654028892,
      0.850000500679016,
      0.791495234591744,
      0.711046020095353,
      0.850000554323196,
      0.850001430511475,
      0.709093067736647,
      0.612238537160869,
      0.760134578040143,
      0.85000005364418,
      0.850000321865082,
      0.850003835558891,
      0.850010111927986,
      0.850015968084335,
      0.838491816174364,
      0.850000035762787,
      0.850217857956886,
      0.850429877638817,
      0.850680127739906,
      0.850096559524536,
      0.850122272968292,
      0.850458148121834,
      0.850529262423515,
      0.850115272402763,
      0.850034216046333,
      0.850010800361633,
      0.850376179814339,
      0.850684642791748,
      0.850202962756157,
      0.850023093819618,
      0.850030460953712,
      0.850027483701706,
      0.850005534291267,
      0.850003460049629,
      0.850000670552254,
      0.850014555454254,
      0.850021734833717,
      0.850024944543838,
      0.850004658102989,
      0.85,
      0.850071302056313,
      0.850018382072449,
      0.829010283167516,
      0.850245359539986,
      0.85013570189476,
      0.850038972496986,
      0.685816570600649,
      0.786128033370809,
      0.850001350045204,
      0.850001350045204,
      0.823188410695434,
      0.803447062815362,
      0.384402827211067,
      0.850000241398811,
      0.847485079329552,
      0.775543250607943,
      0.759524509685948,
      0.32505022499425,
      0.850000098347664,
      0.850000482797623,
      0.661922135962992,
      0.654429131301035,
      0.250431144814814,
      0.850000339746475,
      0.81062104358258,
      0.80464418767184,
      0.555567015863715,
      0.25210669848269,
      0.850003200769424,
      0.85000062584877,
      0.834750540398472,
      0.775685565395381,
      0.850000554323196,
      0.850000634789467,
      0.850001001358032,
      0.850000482797623,
      0.784468760823244,
      0.832915852717311,
      0.850000634789467,
      0.850000867247582,
      0.842021018939763,
      0.820048244306116,
      0.810424160087039,
      0.850000777840614,
      0.850001788139343,
      0.850001421570778,
      0.670788088660424,
      0.829539898851366,
      0.850000956654549,
      0.850000071525574,
      0.850020188093185,
      0.850030344724655,
      0.850008484721184,
      0.850005355477333,
      0.850014305114746,
      0.850469529628754,
      0.850785046815872,
      0.850292056798935,
      0.850098803639412,
      0.850218063592911,
      0.850351986289024,
      0.850353971123695,
      0.850083103775978,
      0.7917978845919,
      0.850006785988808,
      0.85022577047348,
      0.850239261984825,
      0.850076085329056,
      0.850029182434082,
      0.850043085217476,
      0.850035852193832,
      0.850019633769989,
      0.85000179708004,
      0.850000017881393,
      0.850018855929375,
      0.850014251470566,
      0.850004282593727,
      0.850008887052536,
      0.850016960501671,
      0.850036263465881,
      0.850005024671555,
      0.80908729280252,
      0.850240048766136,
      0.850123319029808,
      0.791918704361324,
      0.606180570180325,
      0.774191150065142,
      0.680130243797977,
      0.85000057220459,
      0.850017094612122,
      0.85001685321331,
      0.850019231438637,
      0.701151175711587,
      0.850001099705696,
      0.850405219197273,
      0.850355178117752,
      0.850565230846405,
      0.850077712535858,
      0.850037238001823,
      0.850265458226204,
      0.850461769104004,
      0.850262355804443,
      0.850036710500717,
      0.850007903575897,
      0.850174504518509,
      0.850475537776947,
      0.850205215811729,
      0.806762961505313,
      0.850012499094009,
      0.850000840425491,
      0.804762230349965,
      0.819734901995497,
      0.745740733413233,
      0.850000867247582,
      0.85000059902668,
      0.828760336565024,
      0.765180310169626,
      0.847293777175492,
      0.850000965595245,
      0.84683960210614,
      0.787401608185895,
      0.850001528859138,
      0.833567531812409,
      0.811411529983188,
      0.635128577324649,
      0.699006897033472,
      0.850000768899918,
      0.850000768899918,
      0.85001018345356,
      0.850024774670601,
      0.850021716952324,
      0.850015226006508,
      0.850001537799835,
      0.850033617019653,
      0.850471612811089,
      0.850450360774994,
      0.850457808375359,
      0.850046026706696,
      0.850223276019096,
      0.850320050120354,
      0.850135344266892,
      0.850079903006554,
      0.850017845630646,
      0.850003084540367,
      0.850203150510788,
      0.850362223386764,
      0.850066035985947,
      0.850014466047287,
      0.850020152330399,
      0.850022691488266,
      0.850011318922043,
      0.850003665685654,
      0.850017023086548,
      0.850030246376991,
      0.850055056810379,
      0.850018417835236,
      0.850002878904343,
      0.850060734152794,
      0.850221532583237,
      0.850001019239426,
      0.850003209710121,
      0.850232771039009,
      0.850084194540978,
      0.780793947338525,
      0.763354454707148,
      0.768787668266453,
      0.850001922249794,
      0.850000303983688,
      0.850008288025856,
      0.850014394521713,
      0.850013214349747,
      0.850003558397293,
      0.85000002682209,
      0.850234532356262,
      0.850319048762321,
      0.850307703018188,
      0.850100091099739,
      0.850106465816498,
      0.850326791405678,
      0.850255954265595,
      0.850105509161949,
      0.85003487765789,
      0.850009825825691,
      0.850338879227638,
      0.850389009714127,
      0.850174880027771,
      0.85002700984478,
      0.850003120303154,
      0.811369696127482,
      0.755507802908035,
      0.850000295042992,
      0.850000089406967,
      0.850000312924385,
      0.834340243454411,
      0.758050808524247,
      0.850000929832458,
      0.850000876188278,
      0.850001081824303,
      0.788637059902971,
      0.742221672581017,
      0.85000114440918,
      0.850001385807991,
      0.850000742077827,
      0.461614551740678,
      0.366091490692442,
      0.778954972801122,
      0.850001081824303,
      0.850024202466011,
      0.850048395991325,
      0.850008484721184,
      0.850005292892456,
      0.850000920891762,
      0.850337395071983,
      0.850356394052506,
      0.850627216696739,
      0.850181540846825,
      0.850039875507355,
      0.850232824683189,
      0.850348123908043,
      0.85047792494297,
      0.776727105894413,
      0.832563089230129,
      0.850112089514732,
      0.850601145625114,
      0.850547331571579,
      0.835054914145469,
      0.850032928586006,
      0.850049710273743,
      0.850041708350182,
      0.850022941827774,
      0.79823883264034,
      0.850044479966164,
      0.850045168399811,
      0.850052329897881,
      0.850005292892456,
      0.850001180171967,
      0.850090944766998,
      0.850085043907166,
      0.850001949071884,
      0.850000742077827,
      0.850433194637299,
      0.850070318579674,
      0.507394814778754,
      0.437325473702155,
      0.753326019297196,
      0.757363007410044,
      0.771942583337602,
      0.678168328882106,
      0.384049722598815,
      0.697070075776786,
      0.786974003509986,
      0.795325299316268,
      0.637871820140552,
      0.592406033901738,
      0.777648208294328,
      0.729970260018383,
      0.766322417979821,
      0.628888411590966,
      0.35239711901265,
      0.667216647736686,
      0.736642753465695,
      0.650489192372492,
      0.356143242566894,
      0.357478403461973,
      0.838688002589044,
      0.850000357627869,
      0.794167197539317,
      0.612728711966167,
      0.198838078767903,
      0.820191968906333,
      0.824276789794662,
      0.665347460139999,
      0.62422415526139,
      0.515368145289833,
      0.81845752721945,
      0.832611799433177,
      0.677796555762787,
      0.558947857167764,
      0.162389706000028,
      0.759907913691949,
      0.771612552323217,
      0.359402950565224,
      0.043800400996588,
      0,
      0
    ],
    "color_temperature_curve": [
      0.45,
      0.522759002797744,
      0.575260856572319,
      0.587808642667883,
      0.492039980607874,
      0.543936218934901,
      0.525777592378504,
      0.566566750582527,
      0.578701766799478,
      0.458948488796458,
      0.565877294540405,
      0.561504145229564,
      0.516144082125495,
      0.586317439640269,
      0.503611909641939,
      0.571549264122458,
      0.579705186451183,
      0.561639379052555,
      0.577186114647809,
      0.565918089361752,
      0.58490912213045,
      0.524795714546652,
      0.591668959926156,
      0.561620357457329,
      0.571109853071325,
      0.558725056928747,
      0.543723527122946,
      0.567678422086379,
      0.552479393341962,
      0.487203109965605,
      0.549202142042272,
      0.55470202109393,
      0.540092375699212,
      0.572665942416472,
      0.534828413234038,
      0.560641660409815,
      0.56903599430533,
      0.564757805712083,
      0.568938437630149,
      0.555526660470401,
      0.580329440621769,
      0.6,
      0.588812668183271,
      0.556374966397005,
      0.55301267119015,
      0.594794236211216,
      0.6,
      0.585824249772465,
      0.544567377427045,
      0.55916384528665,
      0.595430311034707,
      0.58141638952143,
      0.577267157330232,
      0.53594199068406,
      0.548186470480526,
      0.589525904374964,
      0.595726885515101,
      0.56723081925336,
      0.503928204143749,
      0.568305751856636,
      0.6,
      0.6,
      0.594115422753727,
      0.583357623044182,
      0.6,
      0.6,
      0.6,
      0.597123230906094,
      0.583561344707713,
      0.6,
      0.6,
      0.6,
      0.588962173461914,
      0.581723713874817,
      0.6,
      0.6,
      0.6,
      0.579294431910795,
      0.573074740522048,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.586976253285127,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.589546087208916,
      0.6,
      0.6,
      0.6,
      0.6,
      0.586033411586986,
      0.6,
      0.6,
      0.6,
      0.6,
      0.587965199526618,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.579447946828954,
      0.581488146501429,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.598433249136981,
      0.6,
      0.6,
      0.6,
      0.6,
      0.596726562696345,
      0.6,
      0.59980185733122,
      0.577085124745088,
      0.6,
      0.595812962335699,
      0.6,
      0.6,
      0.570827503765331,
      0.6,
      0.6,
      0.6,
      0.589675510630888,
      0.575478529930115,
      0.6,
      0.6,
      0.575133957582362,
      0.558042055017808,
      0.584141387658961,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.597968656876508,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.596295656877405,
      0.6,
      0.6,
      0.6,
      0.571024737638586,
      0.58872794824488,
      0.6,
      0.6,
      0.595268486527836,
      0.591784660956439,
      0.517835754506728,
      0.6,
      0.599556129118975,
      0.586860478625578,
      0.584033556545482,
      0.507361785103293,
      0.6,
      0.6,
      0.566809499964995,
      0.565487400223227,
      0.494193708195406,
      0.6,
      0.593050554219414,
      0.591995928567999,
      0.548041147344253,
      0.494489394917208,
      0.6,
      0.6,
      0.597308816629298,
      0.586885520991157,
      0.6,
      0.6,
      0.6,
      0.6,
      0.588435631639817,
      0.59698503297918,
      0.6,
      0.6,
      0.598591735082514,
      0.594714316901039,
      0.593015895871555,
      0.6,
      0.6,
      0.6,
      0.568374256526723,
      0.596389229157392,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.589725389200098,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.592779886722565,
      0.6,
      0.6,
      0.589744928303887,
      0.556971611696131,
      0.586621435950784,
      0.570022517092088,
      0.6,
      0.6,
      0.6,
      0.6,
      0.573731917493484,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.592364661833819,
      0.6,
      0.6,
      0.592016755132114,
      0.594659004491918,
      0.58160122422611,
      0.6,
      0.6,
      0.596251794871162,
      0.585031700134277,
      0.599522316455841,
      0.6,
      0.599442062658422,
      0.588953140202691,
      0.6,
      0.597100062931285,
      0.593190060643589,
      0.562081491245943,
      0.573354136242586,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.587780549946953,
      0.584706406032338,
      0.585668105237624,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.593182798694162,
      0.58332475493936,
      0.6,
      0.6,
      0.6,
      0.597236363326802,
      0.583773607366225,
      0.6,
      0.6,
      0.6,
      0.589171103870167,
      0.580980209743275,
      0.6,
      0.6,
      0.6,
      0.531461342643289,
      0.51460436372196,
      0.5874624673058,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.587061124689439,
      0.596918926519506,
      0.6,
      0.6,
      0.6,
      0.597350852629718,
      0.6,
      0.6,
      0.6,
      0.6,
      0.59086510293624,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.6,
      0.539536310644711,
      0.527172997418572,
      0.58293945088106,
      0.583651858217576,
      0.586225032806396,
      0.569676678320941,
      0.517773426280302,
      0.573012319733115,
      0.588877613404218,
      0.590351368399227,
      0.562565492181217,
      0.554542098325842,
      0.587231902515187,
      0.578818138907937,
      0.585233019380008,
      0.560980199365055,
      0.512187666051528,
      0.56774403628181,
      0.579995693879969,
      0.564791868714725,
      0.512848722233492,
      0.513084335888133,
      0.598003746481503,
      0.6,
      0.590147019835079,
      0.558128365348367,
      0.485089066449334,
      0.59473969375386,
      0.595460423301248,
      0.567414168750539,
      0.560157091477338,
      0.540947266185985,
      0.594433509602266,
      0.596931319377002,
      0.569610963148229,
      0.548637729532578,
      0.478656998802634,
      0.584100891562069,
      0.586166554338792,
      0.513423981386072,
      0.457729474235983,
      0.45,
      0.45
    ],
    "contrast_volatility": 0.165950507375704,
    "motion_velocity_mapping": [
      0,
      0.285728633023094,
      0.49190632009075,
      0.541182170922815,
      0.165093331814847,
      0.368892733483966,
      0.297582801461411,
      0.457764084431929,
      0.505418965093516,
      0.0351412110270683,
      0.455056552375827,
      0.437882952868615,
      0.259751473241345,
      0.535326134057876,
      0.210536937928235,
      0.477330691010377,
      0.509359449630214,
      0.438414023580086,
      0.499466915164538,
      0.455216755898272,
      0.529795593211106,
      0.293726912844155,
      0.556341850561473,
      0.438339324722312,
      0.47560509948015,
      0.426969319219041,
      0.368057480960593,
      0.462129679986467,
      0.402442252459551,
      0.146098672960506,
      0.389572305127582,
      0.41117063471974,
      0.353797748244249,
      0.481715948507129,
      0.333125876151113,
      0.434495927221287,
      0.467460941265972,
      0.45066025775521,
      0.467077830800324,
      0.414409039215626,
      0.511810930326237,
      0.589058306263554,
      0.545125034719747,
      0.417740383564415,
      0.404536464099693,
      0.568614983595358,
      0.589058306263554,
      0.533389350136572,
      0.371371327833076,
      0.428692465398471,
      0.571112884649911,
      0.516079438845102,
      0.49978517426616,
      0.337498956461805,
      0.385583706661701,
      0.547925952740046,
      0.572277549057254,
      0.460371918875156,
      0.211779043951678,
      0.464593238732707,
      0.589058306263554,
      0.589058306263554,
      0.565949245558442,
      0.52370277038493,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.577761074730436,
      0.524502796638722,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.545712150227848,
      0.517286318598964,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.507746393804543,
      0.48332132130496,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.537913331723099,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.548005211846602,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.534210740164552,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.541796978376421,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.508349255389056,
      0.516361232479105,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.582905588865507,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.576203336705213,
      0.589058306263554,
      0.588280189031086,
      0.499070322224228,
      0.589058306263554,
      0.572615577498254,
      0.589058306263554,
      0.589058306263554,
      0.474496298120392,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.54851346479152,
      0.492761135420494,
      0.589058306263554,
      0.589058306263554,
      0.491407980730142,
      0.424287132893491,
      0.526780657428201,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.581081109331791,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.57451114569279,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.475270846462508,
      0.544792334830314,
      0.589058306263554,
      0.589058306263554,
      0.570477390850378,
      0.556796214914347,
      0.266394764358957,
      0.589058306263554,
      0.58731520073438,
      0.537458678224015,
      0.526357198674412,
      0.225262906514665,
      0.589058306263554,
      0.589058306263554,
      0.458717374699149,
      0.453525415801836,
      0.173551139313943,
      0.589058306263554,
      0.561767447857005,
      0.557625874523905,
      0.385013014658273,
      0.174712317444138,
      0.589058306263554,
      0.589058306263554,
      0.578489880142283,
      0.537557020980368,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.543644391335173,
      0.577218363818722,
      0.589058306263554,
      0.589058306263554,
      0.58352797194979,
      0.568301136038753,
      0.561631342605754,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.464862260365591,
      0.574878609217869,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.548709340694839,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.56070452160864,
      0.589058306263554,
      0.589058306263554,
      0.548786071837396,
      0.42008344269337,
      0.53651994440309,
      0.471335070878357,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.485902091663022,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.559073910477421,
      0.589058306263554,
      0.589058306263554,
      0.55770766159446,
      0.568083921145208,
      0.516805294965617,
      0.589058306263554,
      0.589058306263554,
      0.574338897165409,
      0.530276963819903,
      0.587182416533872,
      0.589058306263554,
      0.586867255427347,
      0.54567667611866,
      0.589058306263554,
      0.577670092810434,
      0.56231529730992,
      0.440150222645523,
      0.484418523771076,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.541071849252089,
      0.528999515868397,
      0.532776161901737,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.562286779232389,
      0.523573695517218,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.578205352011275,
      0.525336363852762,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.5465326315106,
      0.514366536702792,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.319903203489406,
      0.253704913808615,
      0.539822721106427,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.53824662642759,
      0.576958760090932,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.57865495784368,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.553185059648417,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.589058306263554,
      0.351614049983071,
      0.303062634324437,
      0.522060585144029,
      0.524858248204146,
      0.53496324730422,
      0.46997694287321,
      0.266149997962351,
      0.483076191410262,
      0.545380078198755,
      0.551167595673473,
      0.44205092111994,
      0.410542609153721,
      0.538917280406141,
      0.505875964807552,
      0.531067555645961,
      0.435825388445138,
      0.244214408231977,
      0.462387350565317,
      0.510500288389933,
      0.450794025052829,
      0.246810412464595,
      0.2477356803335,
      0.581218908153696,
      0.589058306263554,
      0.550365107546244,
      0.424626078341039,
      0.137796707006758,
      0.568400792345027,
      0.571231137188085,
      0.461091942503569,
      0.432592998190401,
      0.357154950525446,
      0.567198390226744,
      0.577007427528572,
      0.469718875750989,
      0.387355825947621,
      0.112537621181841,
      0.526621627013233,
      0.534733599123686,
      0.249069487011807,
      0.0303540733450413,
      0,
      0
    ],
    "particle_density_mapping": [
      0.550207006648114,
      0.46702236201449,
      0.412358166969537,
      0.399286294241396,
      0.468210714080685,
      0.426618391763873,
      0.524063261191833,
      0.269755919026181,
      0.265002510761403,
      0.455138841352544,
      0.310159889276799,
      0.245988877702289,
      0.343433747130249,
      0.235293709106537,
      0.361259028123168,
      0.244800525636094,
      0.349375507461222,
      0.385026069447061,
      0.331550226468302,
      0.248365581834678,
      0.357693971924584,
      0.382649365314671,
      0.348187155395027,
      0.377895957049893,
      0.350563859527416,
      0.481282586808826,
      0.412358166969537,
      0.408793110770953,
      0.400474646307591,
      0.520498204993249,
      0.273320975224765,
      0.342245395064054,
      0.333926930600692,
      0.292334608283879,
      0.224598540510785,
      0.351752211593611,
      0.408793110770953,
      0.37195419671892,
      0.369577492586531,
      0.268567566959987,
      0.266190862827598,
      0.173499401664416,
      0.343433747130249,
      0.244800525636094,
      0.322043409938745,
      0.263814158695208,
      0.265002510761403,
      0.430183447962457,
      0.319666705806356,
      0.41829992730051,
      0.295899664482463,
      0.288769552085296,
      0.421864983499094,
      0.329173522335913,
      0.491977755404577,
      0.268567566959987,
      0.265002510761403,
      0.362447380189363,
      0.304218128945826,
      0.413546519035732,
      0.224598540510785,
      0.38740277357945,
      0.427806743830068,
      0.506237980198913,
      0.458703897551128,
      0.364824084321752,
      0.452762137220155,
      0.43612520829343,
      0.424241687631484,
      0.46939906614688,
      0.33868033886547,
      0.382649365314671,
      0.360070676056974,
      0.335115282666886,
      0.373142548785114,
      0.284016143820517,
      0.364824084321752,
      0.28995790415149,
      0.236482061172732,
      0.457515545484933,
      0.144978952075745,
      0.0344622099196443,
      0.0713011239716779,
      0.236482061172732,
      0.295899664482463,
      0.121211910751852,
      0.0760545322364565,
      0.0404039702506175,
      0.152109064472913,
      0.329173522335913,
      0.156862472737691,
      0.090314757030792,
      0.135472135546188,
      0.443255320690598,
      0.285204495886712,
      0.427806743830068,
      0.0855613487660135,
      0.0879380528984027,
      0.392156181844229,
      0.165180937201054,
      0.0546641950449531,
      0.0415923223168121,
      0.0831846446336242,
      0.319666705806356,
      0.223410188444591,
      0.0843729966998189,
      0.0415923223168121,
      0.067736067773094,
      0.285204495886712,
      0.226975244643175,
      0.0950681652955706,
      0.217468428113618,
      0.483659290941215,
      0.349375507461222,
      0.114081798354685,
      0.448008728955376,
      0.608436257891651,
      0.623884834752182,
      0.519309852927054,
      0.396909590109007,
      0.0392156181844229,
      0.0487224347139799,
      0.136660487612383,
      0.319666705806356,
      0.218656780179812,
      0.0855613487660135,
      0.0439690264492014,
      0.0926914611631813,
      0.439690264492014,
      0.30778318514441,
      0.117646854553269,
      0.090314757030792,
      0.332738578534497,
      0.506237980198913,
      0.432560152094846,
      0.276886031423349,
      0.0748661801702618,
      0.0380272661182282,
      0.358882323990779,
      0.270944271092376,
      0.319666705806356,
      0.301841424813436,
      0.294711312416269,
      0.398097942175202,
      0.332738578534497,
      0.406416406638564,
      0.386214421513255,
      0.398097942175202,
      0.375519252917504,
      0.232917004974148,
      0.424241687631484,
      0.311348241342994,
      0.390967829778034,
      0.25906075043043,
      0.221033484312202,
      0.589422624832537,
      0.537135133919974,
      0.607247905825457,
      0.617943074421209,
      0.0962565173617652,
      0.0427806743830067,
      0.118835206619463,
      0.228163596709369,
      0.446820376889182,
      0.103386629758933,
      0.0713011239716779,
      0.0320855057872551,
      0.231728652907953,
      0.30540648101202,
      0.104574981825128,
      0.0772428843026511,
      0.139037191744772,
      0.30778318514441,
      0.339868690931665,
      0.337491986799275,
      0.11289344628849,
      0.103386629758933,
      0.336303634733081,
      0.294711312416269,
      0.0534758429787584,
      0.0522874909125638,
      0.101009925626544,
      0.424241687631484,
      0.318478353740161,
      0.0724894760378725,
      0.0499107867801745,
      0.0427806743830067,
      0.366012436387947,
      0.266190862827597,
      0.129530375215215,
      0.159239176870081,
      0.317290001673967,
      0.150920712406718,
      0.24123546943751,
      0.512179740529886,
      0.490789403338383,
      0.389779477711839,
      0.481282586808826,
      0.282827791754322,
      0.349375507461222,
      0.294711312416269,
      0.324420114071135,
      0.339868690931665,
      0.286392847952906,
      0.491977755404578,
      0.352940563659806,
      0.412358166969537,
      0.41829992730051,
      0.293522960350074,
      0.482470938875021,
      0.370765844652725,
      0.512179740529886,
      0.35650561985839,
      0.355317267792195,
      0.424241687631484,
      0.270944271092376,
      0.490789403338383,
      0.30540648101202,
      0.292334608283879,
      0.495542811603162,
      0.472964122345463,
      0.501484571934135,
      0.393344533910423,
      0.394532885976618,
      0.499107867801745,
      0.461080601683517,
      0.489601051272188,
      0.421864983499094,
      0.288769552085296,
      0.462268953749712,
      0.36957749258653,
      0.448008728955376,
      0.295899664482463,
      0.282827791754322,
      0.406416406638564,
      0.314913297541577,
      0.408793110770953,
      0.308971537210604,
      0.045157378515396,
      0.0404039702506175,
      0.111705094222295,
      0.349375507461222,
      0.165180937201054,
      0.0796195884350403,
      0.0510991388463692,
      0.0617943074421208,
      0.288769552085295,
      0.156862472737691,
      0.125965319016631,
      0.115270150420879,
      0.198454795054504,
      0.404039702506175,
      0.376707604983698,
      0.316101649607772,
      0.0653593636407048,
      0.173499401664416,
      0.341057042997859,
      0.122400262818047,
      0.0415923223168121,
      0.0439690264492014,
      0.149732360340524,
      0.30778318514441,
      0.114081798354685,
      0.0534758429787584,
      0.0475340826477853,
      0.11289344628849,
      0.360070676056973,
      0.12834202314902,
      0.142602247943356,
      0.276886031423349,
      0.538323485986168,
      0.101009925626544,
      0.362447380189363,
      0.609624609957846,
      0.616754722355014,
      0.554960414912893,
      0.478905882676437,
      0.0998215735603491,
      0.0404039702506175,
      0.0819962925674296,
      0.312536593409188,
      0.251930638033262,
      0.116458502487074,
      0.0510991388463692,
      0.0404039702506175,
      0.24123546943751,
      0.571597343839618,
      0.125965319016631,
      0.0701127719054833,
      0.133095431413799,
      0.540700190118557,
      0.288769552085296,
      0.423053335565289,
      0.117646854553269,
      0.136660487612383,
      0.421864983499094,
      0.27450932729096,
      0.28995790415149,
      0.395721238042812,
      0.333926930600692,
      0.412358166969537,
      0.336303634733081,
      0.360070676056973,
      0.46702236201449,
      0.445632024822987,
      0.405228054572369,
      0.297088016548658,
      0.306594833078215,
      0.412358166969537,
      0.367200788454141,
      0.351752211593611,
      0.216280076047423,
      0.415923223168121,
      0.575162400038202,
      0.596552737229705,
      0.608436257891651,
      0.363635732255557,
      0.067736067773094,
      0.101009925626544,
      0.0843729966998189,
      0.424241687631484,
      0.272132623158571,
      0.0843729966998189,
      0.0487224347139799,
      0.0308971537210604,
      0.398097942175202,
      0.178252809929195,
      0.0819962925674296,
      0.114081798354685,
      0.141413895877161,
      0.367200788454141,
      0.4206766314329,
      0.202019851253087,
      0.0891264049645974,
      0.141413895877161,
      0.439690264492014,
      0.124776966950436,
      0.0534758429787584,
      0.0653593636407048,
      0.237670413238926,
      0.48247093887502,
      0.115270150420879,
      0.0510991388463692,
      0.0534758429787584,
      0.188947978524946,
      0.401662998373786,
      0.131907079347604,
      0.139037191744772,
      0.262625806629014,
      0.231728652907953,
      0.139037191744772,
      0.40285135043998,
      0.513368092596081,
      0.463457305815906,
      0.431371800028651,
      0.368389140520336,
      0.0641710115745101,
      0.0510991388463692,
      0.14379060000955,
      0.40285135043998,
      0.381461013248477,
      0.106951685957517,
      0.0713011239716779,
      0.0962565173617652,
      0.376707604983698,
      0.341057042997859,
      0.120023558685658,
      0.133095431413799,
      0.198454795054504,
      0.437313560359625,
      0.399286294241396,
      0.204396555385477,
      0.0962565173617652,
      0.0689244198392887,
      0.383837717380866,
      0.275697679357155,
      0.375519252917504,
      0.426618391763873,
      0.503861276066524,
      0.457515545484933,
      0.343433747130249,
      0.450385433087765,
      0.439690264492014,
      0.427806743830067,
      0.456327193418739,
      0.310159889276799,
      0.373142548785114,
      0.358882323990779,
      0.335115282666886,
      0.357693971924584,
      0.263814158695208,
      0.361259028123168,
      0.251930638033262,
      0.202019851253087,
      0.532381725655195,
      0.127153671082826,
      0.0380272661182282,
      0.0499107867801745,
      0.166369289267248,
      0.456327193418739,
      0.149732360340524,
      0.0558525471111477,
      0.035650561985839,
      0.122400262818047,
      0.412358166969537,
      0.135472135546188,
      0.0606059553759262,
      0.0665477157068994,
      0.270944271092376,
      0.25668404629804,
      0.301841424813436,
      0.0772428843026511,
      0.0439690264492014,
      0.255495694231846,
      0.250742285967067,
      0.0606059553759262,
      0.035650561985839,
      0.0475340826477853,
      0.251930638033262,
      0.341057042997859,
      0.0760545322364565,
      0.0404039702506175,
      0.0475340826477853,
      0.272132623158571,
      0.337491986799275,
      0.104574981825128,
      0.154485768605302,
      0.2436121735699,
      0.238858765305121,
      0.118835206619463,
      0.388591125645645,
      0.437313560359625,
      0.380272661182282,
      0.491977755404578,
      0.442066968624403,
      0.273320975224765,
      0.330361874402108,
      0.268567566959987,
      0.456327193418739,
      0.325608466137329,
      0.317290001673967,
      0.294711312416269,
      0.217468428113618,
      0.392156181844229,
      0.317290001673967,
      0.316101649607772,
      0.218656780179812,
      0.284016143820517,
      0.43612520829343,
      0.294711312416269,
      0.366012436387947,
      0.216280076047423,
      0.327985170269718,
      0.468210714080685,
      0.257872398364235,
      0.358882323990779,
      0.250742285967067,
      0.300653072747242,
      0.505049628132718,
      0.2436121735699,
      0.427806743830068,
      0.247177229768483,
      0.248365581834678,
      0.395721238042812,
      0.21033831571645,
      0.35650561985839,
      0.187759626458752,
      0.171122697532027,
      0.13071872728141,
      0.158050824803886,
      0.149732360340524,
      0.140225543810967,
      0.349375507461222,
      0.623884834752182
    ],
    "geometric_sharpness": 0.51,
    "organic_mechanical_feel": 0.74,
    "claude_model": "claude-sonnet-4-6",
    "derivation_prompt_version": "tier2_v2.0",
    "derived_at": "2026-03-16T19:09:19.268943+00:00",
    "warmth_metallic_index": null,
    "analog_digital_feel": null,
    "danceability_curve": [
      0.639101901512052,
      0.561035674068356,
      0.542050954523885,
      0.539420047581468,
      0.477591959816122,
      0.614185403142238,
      0.673204156074984,
      0.582344597537473,
      0.515083899307068,
      0.31685792847771,
      0.869732368409974,
      0.678301419491122,
      0.663637122061714,
      0.763993502954145,
      0.617151236490701,
      0.618733522220521,
      0.810617815546628,
      0.612187583402173,
      0.823555470130208,
      0.601761606609908,
      0.725572302918847,
      0.519871359216043,
      0.604434902091091,
      0.509665539095695,
      0.602573482083321,
      0.595394327322819,
      0.692711766020223,
      0.542409165677522,
      0.494489441344011,
      0.639668630870499,
      0.649203215551202,
      0.684351039423355,
      0.716691599152748,
      0.677605438289771,
      0.59542479876336,
      0.727569418382579,
      0.619956535257182,
      0.694509019180071,
      0.739942481016837,
      0.566033913195031,
      0.684196964113425,
      0.637981037367492,
      0.81739503290956,
      0.490306691408621,
      0.931156732392793,
      0.5494960091329,
      0.582854559028451,
      0.700091325551001,
      0.478144710430528,
      0.818487174894465,
      0.581851208021887,
      0.507973657948065,
      0.732325730399588,
      0.450451536692657,
      0.825713149490242,
      0.605157501690658,
      0.648426518582102,
      0.596622687671488,
      0.476878832531898,
      0.820241094379712,
      0.71762388588223,
      0.714236133501822,
      0.495848699249838,
      0.601516602098077,
      0.695814744276687,
      0.644441003671112,
      0.726344472164906,
      0.476179549322355,
      0.583135731616486,
      0.718639132901959,
      0.572694151099173,
      0.711827352039928,
      0.526066446217251,
      0.531242550138132,
      0.777677328133771,
      0.607361027437462,
      0.764200997392635,
      0.523338016773136,
      0.610610124868459,
      0.81740932341662,
      0.760915366189516,
      1,
      0.928190285993801,
      0.875799488978215,
      0.715127840087036,
      1,
      0.961536624748152,
      1,
      0.966922609225242,
      0.746784760457439,
      1,
      0.867068319348739,
      0.847292738432015,
      0.947814681709026,
      0.758301860536279,
      0.82774440657839,
      0.986386342399353,
      0.895959660281205,
      0.944702783202893,
      0.492810578691597,
      1,
      1,
      0.898182165565833,
      1,
      0.712953267898815,
      1,
      1,
      0.931353965688834,
      1,
      0.681002384064816,
      0.838405726998857,
      0.89694914644114,
      0.641998765792553,
      0.813019192307353,
      0.90473001639338,
      0.865718284263755,
      0.811000583420808,
      0.699592455169624,
      0.744209015155966,
      0.747449663495342,
      0.953196085649315,
      0.8967794874367,
      1,
      0.854723072413403,
      0.983736182725253,
      1,
      0.782634711322992,
      0.890976221244249,
      0.896574754091381,
      0.909953723507137,
      0.898620864627343,
      0.712516618509237,
      0.863464555630359,
      0.832311601474442,
      0.72418181107198,
      0.851596853382832,
      0.77265700072704,
      0.697346184307418,
      1,
      0.85122894911897,
      0.930314356601487,
      0.512586640135033,
      0.707247561314901,
      1,
      0.771298605588328,
      0.862292419328259,
      0.558585157111459,
      0.64917785053183,
      0.947216927305128,
      0.775743211764534,
      0.820063946821762,
      0.564328947597556,
      0.714440929830506,
      0.521134761638579,
      0.568927285710689,
      0.72193193670467,
      0.675710809477896,
      0.767991389828858,
      0.511105525968458,
      0.783749906460014,
      0.908407835937603,
      0.59314846796137,
      1,
      0.597684710757973,
      0.88801997128603,
      0.860917448561576,
      0.677209911982097,
      1,
      0.777468981916909,
      0.815004450473109,
      0.992584962310625,
      0.810481631130659,
      1,
      0.762421086598052,
      0.789932759505975,
      0.913463612439274,
      0.930121394216484,
      0.909363585989892,
      0.729314110493577,
      0.793906747046532,
      0.943378997110037,
      0.818453721289027,
      0.744986855648809,
      0.830725462062117,
      0.918090881362658,
      0.708947304189298,
      0.672797317198955,
      0.979347782149289,
      0.82711691166412,
      1,
      0.673629175199896,
      0.718345136484911,
      1,
      0.712243361264412,
      0.928666744727193,
      0.697672592511121,
      0.683941224137307,
      0.849352131964079,
      0.610991395377677,
      0.887755887384438,
      0.637952926445769,
      0.590495431489448,
      0.928013648007966,
      0.614425041237055,
      0.815958099964746,
      0.637463475812091,
      0.499337707613588,
      0.879635945456664,
      0.676551250971076,
      0.786240003956152,
      0.57774858931444,
      0.510020543130662,
      0.867886212966651,
      0.715484855632142,
      0.75037881047182,
      0.551127495772368,
      0.86540868827494,
      0.564101975744085,
      0.758101385136098,
      0.723152228678962,
      0.584930853584807,
      0.792151816035485,
      0.523856061524757,
      0.662592307726537,
      0.691398848247517,
      0.579569604471243,
      0.800123717367289,
      0.508315458399582,
      0.626861025748752,
      0.745947965837369,
      0.607055537208443,
      0.847072621902485,
      0.569121218243281,
      0.644694653154279,
      0.798925820875473,
      0.672872942885714,
      1,
      0.569377494453153,
      0.969720776441035,
      1,
      1,
      0.863436382698184,
      0.760588908188309,
      1,
      1,
      0.967333690848105,
      0.863203814089079,
      0.767641244958122,
      1,
      0.760729969523058,
      0.789140510161297,
      0.899051291371881,
      0.869231688249109,
      1,
      0.755937238563154,
      0.903822797108231,
      0.793856785948363,
      0.783590552457481,
      1,
      0.824955992931598,
      0.981304480427127,
      0.833883332340862,
      0.751171306488454,
      1,
      0.989624810993471,
      0.799300631552535,
      0.93620262193447,
      1,
      0.883177577270617,
      0.763010515447103,
      0.779138889281653,
      0.764448673621912,
      0.980690934333424,
      0.8903247633749,
      0.779653681455044,
      0.680605334346016,
      0.601098138865954,
      0.930737251411559,
      1,
      0.932722034633615,
      1,
      0.503990358177293,
      1,
      0.936792804116486,
      1,
      1,
      0.574795846769076,
      0.873659066161136,
      0.948025489291041,
      0.794344094171236,
      0.794263903414574,
      0.556842547710586,
      0.80963226184075,
      0.835095248038661,
      0.716890933555135,
      0.860463408899137,
      0.664272803665296,
      0.941661602605436,
      0.725835917950347,
      0.633781850314135,
      0.9968018451661,
      0.838319710679866,
      0.802077748732648,
      0.700706795201402,
      0.688649674790915,
      0.897529924616562,
      0.816797059215864,
      0.828758934541307,
      0.701685912841266,
      0.625521470759786,
      0.739647618458735,
      0.533082810598985,
      0.83700118242758,
      0.568621994836567,
      0.674997145010408,
      0.771252434355847,
      0.667477807168568,
      0.911406860481936,
      0.643705460589909,
      0.756840522495425,
      0.885623259493908,
      0.788655416970817,
      0.937682688304522,
      0.686433097377084,
      0.67629880012198,
      1,
      0.746290772757128,
      1,
      0.891534585722846,
      0.782730755446549,
      0.861870065488107,
      0.816823988567163,
      0.949446695959634,
      0.941834092694999,
      0.722225112739309,
      0.901356858644061,
      0.857482605907643,
      0.869785276528286,
      0.746828053245232,
      0.821674039115934,
      0.69029729639447,
      0.930212475349271,
      0.850076148317884,
      0.684637243062827,
      1,
      0.631603185072659,
      0.912988595147519,
      0.929833749451644,
      0.72779617776749,
      1,
      0.699385983262787,
      0.726023898057947,
      0.856461394752375,
      0.751610035826193,
      0.910030965547858,
      0.517964487545483,
      0.886998975305629,
      0.836694831762213,
      0.629143835796594,
      0.692221555299181,
      0.611214467725859,
      0.671432998976743,
      0.755590468989055,
      0.6466979650587,
      0.686543356272636,
      0.616465168203939,
      0.638868162911407,
      0.807271313231904,
      0.537342440108263,
      0.730545936639446,
      0.573969964813501,
      0.710922531357465,
      0.735567077989623,
      0.675388172650128,
      0.817978764463486,
      0.639413847967884,
      0.729882008783937,
      0.492042106351132,
      0.604663554393641,
      0.692941623019632,
      0.647017308559699,
      0.731978278133004,
      0.479431252513823,
      0.580837471596843,
      0.71557173620056,
      0.5675467950859,
      0.725373967074252,
      0.526684549203758,
      0.535975531874361,
      0.773495332215056,
      0.601162235215412,
      0.77974967719969,
      0.322478440092546,
      0.514434950277511,
      0.840914521453463,
      0.752971031413857,
      1,
      0.793233252028958,
      0.9319534122759,
      0.934933344407978,
      0.837283388759073,
      0.9489215612839,
      1,
      1,
      0.682060309781525,
      0.886851714899691,
      0.924176535039241,
      0.867243697503624,
      1,
      0.54885430550182,
      0.719288084610648,
      1,
      0.829496364820949,
      1,
      0.496118333697483,
      0.99559564159989,
      0.996233357027275,
      0.676224206162019,
      1,
      0.804716744450559,
      0.837207706121197,
      1,
      0.950866957714832,
      1,
      0.825112695022633,
      0.758988420900332,
      0.843593880324779,
      0.839996539514709,
      0.999793311461865,
      0.667236756170979,
      0.729969466751833,
      0.88421273589783,
      0.631716056097851,
      0.842997686223278,
      0.521206882896708,
      0.69424718681305,
      0.558552667322738,
      0.484060453440106,
      0.910911358766882,
      0.572230850425192,
      0.782615643095361,
      0.435267164821073,
      0.535497305110788,
      0.898419185370755,
      0.528216398547084,
      0.784630566310856,
      0.398696976924857,
      0.467921576130516,
      0.952575116292925,
      0.565442664365693,
      0.772568421465329,
      0.369703076798507,
      0.581996719413475,
      0.90069759397162,
      0.589302819103261,
      0.77579222733257,
      0.477471022492317,
      0.455451284902719,
      0.930130087513538,
      0.566253513760074,
      0.735768044598553,
      0.467929248234955,
      0.508044673847014,
      0.928589061387159,
      0.544713801200865,
      0.751634122733946,
      0.415023930685098,
      0.352405389435323,
      0.43151495567092,
      0.496966665085466,
      0.166908115398409,
      0.0861146647315795,
      0.0733600013018398,
      0.0733600004272204
    ],
    "tension_curve_composite": [
      0.192627494808275,
      0.332861428362169,
      0.379125353337012,
      0.399089418648084,
      0.249551213103698,
      0.349738209342985,
      0.333892515623482,
      0.377282168115092,
      0.391250874024286,
      0.225275567929278,
      0.379128454991548,
      0.366912113533558,
      0.302142064453623,
      0.410653313773768,
      0.287916651962628,
      0.394825462200214,
      0.409834970034922,
      0.376425358374181,
      0.418212704731727,
      0.376442111961917,
      0.401358188297346,
      0.311720968824068,
      0.420767758043338,
      0.358690809691192,
      0.36926953278829,
      0.382413501879228,
      0.339060872681633,
      0.38600109835385,
      0.370610448170319,
      0.267295471545895,
      0.362324400169602,
      0.358973615452405,
      0.356622769349468,
      0.39099562979614,
      0.331067808774788,
      0.374594496381816,
      0.394449571403595,
      0.383726315717652,
      0.400659535302782,
      0.359664430819403,
      0.396505852580375,
      0.419742747388139,
      0.408985816534375,
      0.352171439801666,
      0.348633689742606,
      0.41489292173162,
      0.413341966059756,
      0.406061611455474,
      0.334394531269594,
      0.364502555655815,
      0.418502480078311,
      0.384233159485493,
      0.389724493790718,
      0.317707539528715,
      0.34941059174289,
      0.410290330384136,
      0.410080286637651,
      0.384602774728757,
      0.266444850015576,
      0.39175488755187,
      0.425996354455542,
      0.441002612568117,
      0.429440665185272,
      0.410656756882518,
      0.433116353881681,
      0.429606328037628,
      0.431584520595821,
      0.429473435138532,
      0.399839852763086,
      0.441954452765409,
      0.417086737359749,
      0.428116809048785,
      0.410067628080329,
      0.392525513383099,
      0.433896384138518,
      0.413767396046615,
      0.435599355509371,
      0.392266277274592,
      0.384961843897972,
      0.461754714467572,
      0.438615053090092,
      0.443065928180634,
      0.413921087167992,
      0.459619359742732,
      0.436333441932731,
      0.433546712198301,
      0.43438895135132,
      0.432371043338558,
      0.438757037366748,
      0.448543424511382,
      0.424644020146614,
      0.426653420730564,
      0.428448870603572,
      0.471391953859983,
      0.409457140124093,
      0.457797935895745,
      0.426396688760767,
      0.414664720807194,
      0.458843218722375,
      0.43654264998625,
      0.432931847339456,
      0.424106928832692,
      0.423388456898335,
      0.457168395751482,
      0.427286716113127,
      0.442939011499918,
      0.403687466676012,
      0.41312472548879,
      0.433175795537303,
      0.434290132647903,
      0.415337144451959,
      0.440585922008966,
      0.449908414691034,
      0.450269044562426,
      0.403591912868113,
      0.441778870453013,
      0.426635174931912,
      0.460123093928119,
      0.464297790660116,
      0.453908094023651,
      0.433338564702043,
      0.413150468225102,
      0.441600481492914,
      0.450500475602501,
      0.430859574296838,
      0.424599172272683,
      0.422398929972082,
      0.424971050232365,
      0.449635135171437,
      0.433590369697373,
      0.416032412639848,
      0.425268532134227,
      0.454404798772839,
      0.442287332127324,
      0.448204246690835,
      0.439329661843273,
      0.423877441580051,
      0.415164868412547,
      0.432951892756085,
      0.4279728061975,
      0.447633269034293,
      0.443518881619817,
      0.398046586782118,
      0.443490630570738,
      0.429872369830712,
      0.440971260069649,
      0.448457909983171,
      0.384391206328291,
      0.422108955341441,
      0.419799776316076,
      0.433004804120624,
      0.42500142983541,
      0.410529264234689,
      0.430946068972232,
      0.411878172261794,
      0.413801471861201,
      0.379474916070382,
      0.428672849358762,
      0.453005589771238,
      0.423490700633583,
      0.412946638884486,
      0.433221283274457,
      0.437957323275619,
      0.444384567830635,
      0.422376020148978,
      0.433509859588085,
      0.431234773158422,
      0.435600155321646,
      0.442959707096997,
      0.42258488991541,
      0.414487616036044,
      0.435390561363798,
      0.442447796018541,
      0.438674201832897,
      0.438367953455317,
      0.425730945013048,
      0.427771789892702,
      0.441007456628996,
      0.416659912950205,
      0.422738261565373,
      0.423745061949024,
      0.415777259177861,
      0.450738294055457,
      0.439245323786133,
      0.413254736604814,
      0.423048379577747,
      0.435058696246393,
      0.441514982899309,
      0.431777016501486,
      0.426637298600213,
      0.416195328462622,
      0.428751981534902,
      0.417089656445035,
      0.416368454846304,
      0.452448377632652,
      0.41836770398973,
      0.426170774882153,
      0.444017632866165,
      0.424078567745133,
      0.446444392701383,
      0.420085649498983,
      0.320917323618722,
      0.425141984650913,
      0.422123086894807,
      0.437196308212591,
      0.407311632943105,
      0.302392748570584,
      0.428588057767324,
      0.426661891967066,
      0.393797585974494,
      0.385872060922807,
      0.276248194504676,
      0.435704492352004,
      0.427927296843445,
      0.423186486402283,
      0.341098109834979,
      0.28947936166468,
      0.42110659683283,
      0.429750937329968,
      0.43610279501548,
      0.413220750504559,
      0.455718135306577,
      0.42359396629393,
      0.440392983789793,
      0.447619680081177,
      0.428565091166576,
      0.43445641952784,
      0.433742058662256,
      0.436532803213192,
      0.440368328003003,
      0.433074550661568,
      0.436217592427519,
      0.424659376833196,
      0.436252013611481,
      0.471845379724042,
      0.39611864762901,
      0.446845531495724,
      0.447951472539139,
      0.422460469143693,
      0.433114388278724,
      0.440581321480989,
      0.459941755454098,
      0.430235456029584,
      0.413601691284845,
      0.423672785129191,
      0.435299079072137,
      0.456869967647741,
      0.426864710084557,
      0.435141402651805,
      0.424013104729591,
      0.4253717863619,
      0.459403414738117,
      0.433924434475712,
      0.440521039565604,
      0.432851022104325,
      0.42998192252361,
      0.444828017502828,
      0.42353735669803,
      0.444618458937185,
      0.4233423217901,
      0.436602075090049,
      0.457697056576983,
      0.403652399031441,
      0.413659836294814,
      0.432648036508434,
      0.435157493535604,
      0.444044159490126,
      0.413758047500186,
      0.40892636765536,
      0.425791346476285,
      0.454770497567123,
      0.424267265848102,
      0.444848937591362,
      0.470082851241256,
      0.395454410667371,
      0.465299400887831,
      0.44382382046721,
      0.414943079197541,
      0.44304315459034,
      0.426425604511935,
      0.447806388014154,
      0.39124535333189,
      0.413447263705681,
      0.414155935331448,
      0.412116423897141,
      0.426321301076777,
      0.449240211854905,
      0.423719273336406,
      0.416288936258701,
      0.427472042312352,
      0.456360747567877,
      0.416360736581422,
      0.453143613584819,
      0.426024786640961,
      0.405102511272338,
      0.434757857489179,
      0.402608381871919,
      0.440706063868924,
      0.454268569513187,
      0.437159144410382,
      0.44993288748468,
      0.394059445459353,
      0.444911731591885,
      0.437960673935335,
      0.441355875446512,
      0.416709268988415,
      0.421998159153007,
      0.432874784509443,
      0.445641997942565,
      0.444307265777049,
      0.451021938505271,
      0.430570202295374,
      0.438321778206497,
      0.39026128410496,
      0.424052350221843,
      0.457924544959104,
      0.440191685163221,
      0.423592765359943,
      0.422926100049913,
      0.437471634692582,
      0.453397947216158,
      0.448184824058176,
      0.414052254997823,
      0.422301008926824,
      0.432886389992187,
      0.44186194422799,
      0.424843431617789,
      0.424900348981199,
      0.414507477475922,
      0.438422832933081,
      0.444858641199449,
      0.432208280707908,
      0.431681852575362,
      0.424293660724767,
      0.419697835448022,
      0.448432744971464,
      0.436079372336814,
      0.423997224763628,
      0.422522152908101,
      0.44252640767413,
      0.438616003473784,
      0.42417265700533,
      0.433666120690185,
      0.412778844734565,
      0.415919884750733,
      0.43928304343326,
      0.403792585085529,
      0.418153164501764,
      0.433714029429711,
      0.419650772628805,
      0.413584939408373,
      0.425554318457848,
      0.422392929881297,
      0.424404785675583,
      0.417933474612759,
      0.428877798011467,
      0.402282068507546,
      0.412550314426294,
      0.406503865725159,
      0.426491374600959,
      0.431107514193398,
      0.402265608139045,
      0.413373508766913,
      0.402137104463465,
      0.419851865477858,
      0.425610869486894,
      0.41211352644648,
      0.41418723780982,
      0.414510315416955,
      0.438282396764687,
      0.420413825569135,
      0.411653882258035,
      0.413655188290758,
      0.401850992249018,
      0.439262788284865,
      0.41816959909016,
      0.430970771113001,
      0.428267984163623,
      0.410679405683493,
      0.442998618767824,
      0.419641690201945,
      0.441562434140509,
      0.419725599818666,
      0.410102381840412,
      0.441767903539696,
      0.426884272536992,
      0.446776205575945,
      0.430339559623161,
      0.411545509783593,
      0.454065760017969,
      0.43266609217418,
      0.444906949606989,
      0.315562732275872,
      0.299014281095727,
      0.424969883568742,
      0.438630460687381,
      0.422718259421089,
      0.41229390591411,
      0.431340402673875,
      0.450565186874173,
      0.425747429134627,
      0.433040229840367,
      0.421506962107391,
      0.430218324628203,
      0.429274947000295,
      0.42508339226973,
      0.424256770177645,
      0.422780533426308,
      0.453109613082297,
      0.413823590565566,
      0.447225525311431,
      0.424711693271579,
      0.412639050177934,
      0.442912562063103,
      0.440080626547945,
      0.422417201825528,
      0.413753478318716,
      0.432255125662248,
      0.421661035801891,
      0.435985065712173,
      0.422134258343352,
      0.413438873073328,
      0.423205392384785,
      0.419611419365613,
      0.420483280386114,
      0.412621191456544,
      0.408293493183143,
      0.431245872357911,
      0.41128859857748,
      0.413000363754162,
      0.418183985442563,
      0.375912257559328,
      0.349000088740675,
      0.409949512203821,
      0.405431265316878,
      0.395821117926788,
      0.370885859209693,
      0.289811001259272,
      0.382977349810198,
      0.405297650802737,
      0.40658126827445,
      0.372233307288672,
      0.33531560885258,
      0.404947963433402,
      0.386899553917413,
      0.400748215255527,
      0.355193443912343,
      0.274123667543154,
      0.375835455815408,
      0.392245232711537,
      0.370381045455599,
      0.285070270562147,
      0.303434773183676,
      0.435304201225477,
      0.412763829599192,
      0.409905495063242,
      0.351834012504479,
      0.240905820802815,
      0.418630882194057,
      0.403869619376394,
      0.374709668397625,
      0.344358880041364,
      0.318662901258802,
      0.411071329386463,
      0.403264633222795,
      0.374921933953266,
      0.323418026160375,
      0.205976690837844,
      0.379679314472344,
      0.383200509349951,
      0.262008264194391,
      0.169135145534137,
      0.169463420321173,
      0.204167052995306
    ],
    "textural_complexity_curve": [
      0.659314556182212,
      0.613710647723105,
      0.542205395654568,
      0.539130923536338,
      0.601269708708281,
      0.583042267800955,
      0.656423556662394,
      0.466107708503052,
      0.463062509757817,
      0.622098556326638,
      0.488872227712943,
      0.454665696468906,
      0.517740090399463,
      0.443910487933712,
      0.550330680820677,
      0.449517723578719,
      0.532235715108096,
      0.541349331634146,
      0.51609882223288,
      0.447447525882091,
      0.511672120133604,
      0.536303571937338,
      0.5053202748665,
      0.536490596154114,
      0.501991626943772,
      0.617159276470438,
      0.567948035259604,
      0.559415596924311,
      0.576391949590019,
      0.661960700955479,
      0.481035516330597,
      0.519205232133869,
      0.531191330255967,
      0.483734870617584,
      0.44171834522417,
      0.520210988824636,
      0.573286376986715,
      0.538627420928691,
      0.539669885293467,
      0.458204525491687,
      0.459701695378907,
      0.393013100445766,
      0.505672034582573,
      0.437610046905348,
      0.502821559114329,
      0.460912769928099,
      0.452180044936268,
      0.574277121454965,
      0.502400976347207,
      0.573174374022048,
      0.483183935207682,
      0.473914977384777,
      0.569499518244317,
      0.512410163464966,
      0.625188237952459,
      0.474445351068253,
      0.456933297272442,
      0.537884762299264,
      0.486425916482292,
      0.584441931027116,
      0.442201915577781,
      0.559452253806432,
      0.584584782636783,
      0.614208308578863,
      0.596821493606027,
      0.539312507682811,
      0.594143776532678,
      0.586440328746055,
      0.564623508572806,
      0.618465263535006,
      0.509685576953113,
      0.5460723559026,
      0.533488927984284,
      0.500882589718292,
      0.547852629165567,
      0.465099222568856,
      0.533011703377135,
      0.466407165925391,
      0.434247434805258,
      0.627888271832846,
      0.381700952140482,
      0.312069110633822,
      0.30658805512464,
      0.468475914809524,
      0.524556253755629,
      0.368690018805865,
      0.334070791157485,
      0.304855286226393,
      0.388536140795527,
      0.530848328379162,
      0.381080653476012,
      0.342283794510999,
      0.370266216547783,
      0.612316986385946,
      0.491843388271759,
      0.605828061347069,
      0.343675483813399,
      0.317909148802781,
      0.574397768369382,
      0.448606300108159,
      0.314090497926377,
      0.299235931559928,
      0.316240160617199,
      0.519303767721308,
      0.463623126274914,
      0.342448994810665,
      0.281034075688808,
      0.296068109331811,
      0.476839842263554,
      0.443235764189542,
      0.328389539578945,
      0.431640894957957,
      0.605622013110624,
      0.519866622500263,
      0.323986787067419,
      0.597542554156904,
      0.714421912407877,
      0.726296126032854,
      0.653692310534632,
      0.562367052765666,
      0.307049765994046,
      0.291502427463846,
      0.379060937372014,
      0.522342718798744,
      0.439730798508842,
      0.33074282753257,
      0.298683322230949,
      0.326021664545957,
      0.589217162376217,
      0.4904640230417,
      0.346176793244428,
      0.337498628834039,
      0.515818944042797,
      0.63974713937487,
      0.598339813040235,
      0.468927226012994,
      0.322053466270478,
      0.287316775623692,
      0.545472817151284,
      0.47806923566755,
      0.522454790274432,
      0.489418851344431,
      0.490034306037668,
      0.570707157462635,
      0.524843143675257,
      0.568614368821226,
      0.552505612245078,
      0.55489287803794,
      0.530596797365602,
      0.440368282976873,
      0.572037330879476,
      0.515252578526154,
      0.55936926002081,
      0.477526983330591,
      0.438511878982844,
      0.70410034444295,
      0.659636497390099,
      0.699138272419656,
      0.718763664085508,
      0.336688254212739,
      0.290861844329468,
      0.352511192890439,
      0.444729872738946,
      0.601035669655543,
      0.337757657678279,
      0.329359034352215,
      0.292369509854351,
      0.440831999191856,
      0.509027388610308,
      0.339799475384311,
      0.317024755741,
      0.377133208658942,
      0.506763502795938,
      0.526950856461641,
      0.521576144480499,
      0.351246427904084,
      0.347769925029957,
      0.522738327154385,
      0.47165922518288,
      0.304356729278684,
      0.305276394873499,
      0.323647180613719,
      0.587770462337521,
      0.504091823859135,
      0.307312689097961,
      0.302707439110017,
      0.305508901954725,
      0.543635060439427,
      0.461667186921388,
      0.360696479069427,
      0.366754934789655,
      0.491982633056368,
      0.374644226081132,
      0.430044134636284,
      0.645575379134754,
      0.63795808813316,
      0.549445099245594,
      0.625688670942065,
      0.473569703448712,
      0.546907377844593,
      0.47172410121633,
      0.520766606369478,
      0.515277787788664,
      0.480713856558179,
      0.639881330870284,
      0.523281773602315,
      0.58604807512557,
      0.568514900316458,
      0.485183721753597,
      0.631511006885749,
      0.551307249793549,
      0.649674679984374,
      0.540585352261839,
      0.535790556793824,
      0.568992917268748,
      0.472682018281852,
      0.643929281721401,
      0.489471875369257,
      0.487727817469231,
      0.62728211625337,
      0.601513655293355,
      0.632833541340718,
      0.550737757436537,
      0.56363504329595,
      0.6403504968113,
      0.613875504063973,
      0.619597211963557,
      0.57855574504731,
      0.49570271501029,
      0.611412525246502,
      0.548211980590162,
      0.598902132470347,
      0.482366259948731,
      0.486253882776368,
      0.594442415803823,
      0.499247283139259,
      0.58661512729589,
      0.509290530301928,
      0.29920927477138,
      0.306285588536148,
      0.364578758363082,
      0.544400999502543,
      0.406098553109372,
      0.312407185422998,
      0.306854320977237,
      0.320493642329971,
      0.503968010234078,
      0.393417012063425,
      0.370074875855894,
      0.34765376290706,
      0.408119585470239,
      0.595615765014732,
      0.575821121061188,
      0.503822077041976,
      0.325394645894685,
      0.395739810161195,
      0.537776424920306,
      0.361581663142802,
      0.32323033106691,
      0.294349030421819,
      0.381611366245407,
      0.527183086853589,
      0.334860447853778,
      0.296811562537201,
      0.309558852478287,
      0.357951497331457,
      0.54597751152836,
      0.354364252323503,
      0.357747809231664,
      0.451907659911038,
      0.656800824689517,
      0.339443454270077,
      0.535287353706266,
      0.73779764033773,
      0.713364119951146,
      0.682794914312497,
      0.655597348930318,
      0.328254343812163,
      0.317329399589016,
      0.32800706692815,
      0.508315049139589,
      0.472817200578113,
      0.337396747523852,
      0.303651747937271,
      0.280415009500187,
      0.433624310358912,
      0.67036154647689,
      0.360640053839687,
      0.318970953913602,
      0.366897905564544,
      0.656273903700638,
      0.478255471222463,
      0.591987100821952,
      0.354813824366315,
      0.334757454653298,
      0.567335636915584,
      0.465804382693185,
      0.495298375789047,
      0.56830088225908,
      0.524104924755818,
      0.588297720975726,
      0.512596662331335,
      0.547517045111657,
      0.592189333281539,
      0.593210065042534,
      0.577400270313195,
      0.475592432383402,
      0.505193512353242,
      0.581184085962944,
      0.55461299389925,
      0.554034657711451,
      0.454816044496069,
      0.595490288330274,
      0.688774967281648,
      0.703572959406706,
      0.722624965366058,
      0.530636308604482,
      0.317624913057146,
      0.334253387140359,
      0.340168160691445,
      0.592426879699119,
      0.478958085867616,
      0.318154025692186,
      0.299699083526423,
      0.294369750414003,
      0.566069387448044,
      0.39937942165251,
      0.33029746011176,
      0.340235657842348,
      0.383103827435596,
      0.554017012671252,
      0.57281143548191,
      0.418759975857846,
      0.334386266872256,
      0.365274637740683,
      0.604986986058742,
      0.367909535177738,
      0.30850247476752,
      0.307196234526621,
      0.446743581055069,
      0.615937002675125,
      0.351058010143713,
      0.317513283077806,
      0.291638467883666,
      0.390757450241787,
      0.563544906135357,
      0.335763447571981,
      0.360896870129826,
      0.453208351444641,
      0.434905261236572,
      0.348647305842168,
      0.549301004711449,
      0.636821339774067,
      0.605477758840484,
      0.580980998242149,
      0.53652103576387,
      0.288160189418681,
      0.291124609217681,
      0.351254127909126,
      0.552090823767547,
      0.542643645734468,
      0.315434836974707,
      0.311157902753621,
      0.303529869548288,
      0.518986921806063,
      0.512351997984243,
      0.335178995106033,
      0.345759599702859,
      0.396831491778318,
      0.587068623620033,
      0.53887703773824,
      0.401811555540536,
      0.326235427420845,
      0.290043401907673,
      0.554929065051641,
      0.462891867821264,
      0.541557531605887,
      0.58450849287953,
      0.613085655281732,
      0.604926549527602,
      0.516125590564384,
      0.602731304525519,
      0.5784813108702,
      0.576286059408436,
      0.611313839131261,
      0.503128879083003,
      0.560255754853148,
      0.552977691766253,
      0.521307869977685,
      0.557212795925645,
      0.470395166693292,
      0.540570126557522,
      0.457168970669143,
      0.439521900453554,
      0.64515911641911,
      0.371218047401252,
      0.295466922530104,
      0.288048912417123,
      0.39205339134235,
      0.607590869647155,
      0.374895375025986,
      0.319911637924704,
      0.291004161025026,
      0.35846243379769,
      0.561123193444214,
      0.366733486574614,
      0.317802663829134,
      0.31382641999977,
      0.490470087760756,
      0.486462138517525,
      0.524348320276619,
      0.330441069097924,
      0.284337025246085,
      0.467129483558941,
      0.487513999320008,
      0.308985068728042,
      0.284538495716267,
      0.297000806411045,
      0.446047397852793,
      0.543001652230714,
      0.313280614251917,
      0.288517859340416,
      0.293750052157238,
      0.456441885368787,
      0.504665177428344,
      0.324934428611432,
      0.3584882744097,
      0.440899466763584,
      0.424851835780239,
      0.335573704454335,
      0.533216734804242,
      0.622083925177383,
      0.582242439253925,
      0.62136813121816,
      0.582966823091359,
      0.468726883237173,
      0.503259737376414,
      0.471736722698063,
      0.590483064148295,
      0.504416737373123,
      0.501051601268715,
      0.499622522671537,
      0.420991092677147,
      0.549030236986221,
      0.509504986003992,
      0.512106332132669,
      0.444193642052213,
      0.476405098839288,
      0.583245889079778,
      0.488348327497125,
      0.536897670465199,
      0.432356358952216,
      0.519609000213339,
      0.610359995559346,
      0.449086747064577,
      0.524646586749296,
      0.452987999372013,
      0.496010810820085,
      0.617789323526965,
      0.440488298434084,
      0.575969273775143,
      0.441689368809033,
      0.43634621129204,
      0.553199043763813,
      0.426377711918981,
      0.537150783131299,
      0.406162851871182,
      0.388655871747243,
      0.362349140175037,
      0.379759994930165,
      0.374223656869875,
      0.366798528296992,
      0.489230947911219,
      0.677709956810761
    ],
    "emotional_intensity_curve": [
      0.284580021903657,
      0.433467008090533,
      0.55412246174292,
      0.580973516968166,
      0.344019442600672,
      0.463776603966337,
      0.409460262105973,
      0.507306850894883,
      0.542815720339667,
      0.290869529518156,
      0.496681099693995,
      0.491351303219949,
      0.397932653791232,
      0.566919827742585,
      0.360221947598924,
      0.518511396101835,
      0.533588300402095,
      0.510923208525162,
      0.551258276969298,
      0.501929628889662,
      0.561621110397294,
      0.434230867701575,
      0.591132336594757,
      0.497626404735344,
      0.534703592345448,
      0.499630653493232,
      0.446172407195527,
      0.523928418909318,
      0.480113896146467,
      0.340214741965823,
      0.483677146357304,
      0.460997248721152,
      0.457244077434683,
      0.525672514847755,
      0.430924376979665,
      0.509512672093795,
      0.502947422453812,
      0.508014046169479,
      0.533015538789212,
      0.483874506215547,
      0.53533979308904,
      0.560927641774329,
      0.540558508796981,
      0.464142331574777,
      0.481227949508585,
      0.562851778298888,
      0.576039326660008,
      0.549363863257467,
      0.437470008967039,
      0.478137003567829,
      0.57015859490653,
      0.514809737320212,
      0.523615388066414,
      0.416062208260222,
      0.456304765019888,
      0.529660976223291,
      0.551287065225034,
      0.496630760260897,
      0.357656293119224,
      0.494423140275608,
      0.610217880985017,
      0.603521617446647,
      0.590305911364868,
      0.574575399872802,
      0.619588838417723,
      0.606587442175894,
      0.594410046015711,
      0.583285498553612,
      0.567318717126243,
      0.591608879192128,
      0.589562247398607,
      0.585371993016322,
      0.563495668563056,
      0.546979431755751,
      0.559918953119906,
      0.570820827861963,
      0.568757995969349,
      0.466942436289042,
      0.506275799196301,
      0.557782681118516,
      0.554274085994146,
      0.552421523546946,
      0.56345838879486,
      0.554491438729245,
      0.503899619151405,
      0.549862070917155,
      0.55247910445337,
      0.569760352596152,
      0.55292067411263,
      0.535128387394207,
      0.564506617633394,
      0.575126107099135,
      0.591288980021674,
      0.53500816311494,
      0.5395609306257,
      0.569079642947092,
      0.573046345556647,
      0.586767836638522,
      0.505242509030361,
      0.463821375051749,
      0.551160123446933,
      0.548815289692498,
      0.575427551506402,
      0.518150784751037,
      0.497748080217271,
      0.55227127662041,
      0.545114490684852,
      0.568263358871918,
      0.52312544742946,
      0.57147775419125,
      0.570396507690921,
      0.59089538932217,
      0.6035280499514,
      0.505737023010401,
      0.562876357962186,
      0.56132608081673,
      0.555823788064055,
      0.565630578731395,
      0.550052192290814,
      0.563125242862097,
      0.558546981375319,
      0.565617684814227,
      0.55240814150729,
      0.516901403926106,
      0.560847533594826,
      0.549745872258187,
      0.567047805773395,
      0.581688237792083,
      0.571789386175646,
      0.587316795632816,
      0.581123169297928,
      0.583399829922397,
      0.589737869993989,
      0.572938635772366,
      0.582622666093406,
      0.585308176706489,
      0.493436138030859,
      0.566196731792767,
      0.544843673552668,
      0.549651009950064,
      0.571861728073637,
      0.590792864917109,
      0.538400897832354,
      0.562471558203511,
      0.565262017555215,
      0.600989175557399,
      0.591600337124928,
      0.505758317183457,
      0.564384357427277,
      0.571748379373783,
      0.586248584786751,
      0.552955521248042,
      0.532391753687374,
      0.554581527358223,
      0.561293961824941,
      0.511409226432406,
      0.507323611826215,
      0.598091496214024,
      0.587005470113735,
      0.614390695280586,
      0.567924268139804,
      0.530300169538,
      0.573697714497216,
      0.543504941982117,
      0.562489732620469,
      0.53713055988928,
      0.54161266467535,
      0.548824514465266,
      0.538674471566547,
      0.543645344607129,
      0.562208045848433,
      0.541543287480891,
      0.578572932095301,
      0.55793174449604,
      0.554931524608057,
      0.581333633745958,
      0.565606371083372,
      0.560195366292308,
      0.57952523677731,
      0.578255341258529,
      0.556096683022457,
      0.592487644855319,
      0.553477909761902,
      0.553614936619397,
      0.564072701419904,
      0.522837357734174,
      0.564255628810076,
      0.548466982197929,
      0.517476156342542,
      0.568222027740679,
      0.540806957381071,
      0.542510725874474,
      0.57902821651259,
      0.544430556626654,
      0.580820759787294,
      0.512589741160062,
      0.545863447496013,
      0.54663126257912,
      0.553679140998032,
      0.549577403703393,
      0.509261765499242,
      0.472872908859501,
      0.556877849357977,
      0.56635089973735,
      0.535488589259839,
      0.503665918949884,
      0.421424136736618,
      0.546536780125482,
      0.542786448973422,
      0.487558121757511,
      0.472393264923251,
      0.380291814810783,
      0.556727563870904,
      0.534620695565286,
      0.511296172789448,
      0.457499036796339,
      0.415263237341511,
      0.61267063262782,
      0.594493913952851,
      0.586305256941108,
      0.590745270695232,
      0.618823782127702,
      0.612711854057669,
      0.588427874824733,
      0.583647273727875,
      0.588453226098333,
      0.596459503204167,
      0.604311674110699,
      0.585225367924925,
      0.567968048012766,
      0.567389598585687,
      0.570671466847713,
      0.583588083918902,
      0.543336736302188,
      0.512216383131705,
      0.504946514534873,
      0.537823395734301,
      0.56593211766388,
      0.547314169011774,
      0.581031596596003,
      0.525765079833937,
      0.499412215513202,
      0.547041716218001,
      0.548922142481249,
      0.573639831880356,
      0.521598285229003,
      0.526014939587325,
      0.567189455885863,
      0.569336932522022,
      0.565104623730622,
      0.54541080165265,
      0.560755164868795,
      0.533054946330519,
      0.5638028316499,
      0.555114714395941,
      0.487673207128901,
      0.524707354158046,
      0.559416458513447,
      0.555341910714255,
      0.547490231559778,
      0.493037367568933,
      0.515537401464805,
      0.555024619846416,
      0.571961944009402,
      0.542389146583481,
      0.508349385609583,
      0.568630005978499,
      0.565713535832723,
      0.558767465290405,
      0.559640482572203,
      0.55465371423165,
      0.559071928531994,
      0.568057122230797,
      0.564091796911248,
      0.502142569248731,
      0.536809099801605,
      0.523674094829913,
      0.566296801831803,
      0.575321821995385,
      0.51675852554419,
      0.497746062680243,
      0.52195915220353,
      0.53896361903426,
      0.558704141071,
      0.590615253479596,
      0.575444782742242,
      0.55940176427992,
      0.568639519886777,
      0.571718784881441,
      0.579927609008627,
      0.580743266911545,
      0.563414000685655,
      0.537086109070768,
      0.566132977491474,
      0.567662342801992,
      0.548967798571343,
      0.566226361982864,
      0.572860146976903,
      0.571983691194073,
      0.560349383409975,
      0.561002885328,
      0.563020874050716,
      0.592597886390129,
      0.558863721827937,
      0.563880358483508,
      0.538764868558195,
      0.576208573855604,
      0.57524387600428,
      0.560169323406396,
      0.549520877223757,
      0.550866020788252,
      0.563577724289005,
      0.557179805989966,
      0.536175062819916,
      0.559747869480326,
      0.600634250014327,
      0.611383226992631,
      0.526220830100098,
      0.573107731792033,
      0.551182038633008,
      0.539522222795561,
      0.557354057591415,
      0.509930686618765,
      0.557345063344833,
      0.563557877124279,
      0.517124438065038,
      0.576071376744492,
      0.523280203223215,
      0.569801182385516,
      0.585109730510123,
      0.557605869515049,
      0.5755683346662,
      0.542221929929388,
      0.583584327938919,
      0.556151475192687,
      0.582466607231826,
      0.556537070614307,
      0.563854414341209,
      0.579918244032535,
      0.559580016633973,
      0.566729884314648,
      0.549333628459179,
      0.524345908118533,
      0.562048888624034,
      0.539050218289786,
      0.540601746493,
      0.560263375729739,
      0.528416402408944,
      0.571048977397893,
      0.558612923275007,
      0.571781671147389,
      0.582328880804781,
      0.534214100694699,
      0.539329371898568,
      0.579032062108129,
      0.595016672426799,
      0.593184696064397,
      0.60793086562149,
      0.61000211096189,
      0.595791706340928,
      0.594125880891527,
      0.584963161842351,
      0.596421162554993,
      0.609093618268899,
      0.600258655612169,
      0.565795123433927,
      0.567718208660399,
      0.580963723415567,
      0.610067453478994,
      0.599033966524083,
      0.577884882484425,
      0.532119179959832,
      0.601907194261839,
      0.631185164336303,
      0.586784102433352,
      0.59964070279249,
      0.593905122875549,
      0.616398198833243,
      0.590162017269053,
      0.594540226034025,
      0.58550951048576,
      0.59061980158309,
      0.610345495724154,
      0.576313673254184,
      0.582012589438652,
      0.577159436488962,
      0.568691762135316,
      0.560163928636575,
      0.568188830729752,
      0.557199680353128,
      0.493965752486543,
      0.552039715294512,
      0.452197954337784,
      0.395500150745346,
      0.51337946943431,
      0.500916053466739,
      0.541608063892781,
      0.529699970066716,
      0.501124011642453,
      0.532842930874885,
      0.529572945596087,
      0.534185983874374,
      0.528581204847557,
      0.523912157038885,
      0.504836655528992,
      0.521268090729308,
      0.494984340765454,
      0.517485544439139,
      0.488190624100857,
      0.496524301546824,
      0.516716383206165,
      0.50722266599213,
      0.532303495938898,
      0.548048089844445,
      0.507027597882832,
      0.518104012625544,
      0.531271777743259,
      0.539167380822039,
      0.509408891550257,
      0.516715720297024,
      0.527455231424316,
      0.5300393807774,
      0.558479987158929,
      0.5366038507973,
      0.526748664477816,
      0.527141494580881,
      0.512463457937054,
      0.543448884117262,
      0.510535651683987,
      0.522365204123812,
      0.52105928307214,
      0.460491511084153,
      0.424385294461177,
      0.506369415368925,
      0.504906899347097,
      0.499385187965126,
      0.498690561712936,
      0.40260937723865,
      0.486653883362192,
      0.518733988693402,
      0.517890165328359,
      0.482683493191773,
      0.467248092604001,
      0.501755137910139,
      0.478290653821427,
      0.493689741433915,
      0.474736969460715,
      0.381711173012164,
      0.459157819542009,
      0.485424760820415,
      0.479541701006633,
      0.405671730367141,
      0.390857748503047,
      0.519953377375205,
      0.514221870047075,
      0.530377020866317,
      0.465755049137965,
      0.337485642043683,
      0.512801095336222,
      0.510891284834562,
      0.484838182536126,
      0.460693634089704,
      0.429231817025217,
      0.506329826089014,
      0.49055029525036,
      0.426803813540815,
      0.405189342713408,
      0.290922660537294,
      0.461794748085831,
      0.461371325869244,
      0.355315403612683,
      0.262487717478041,
      0.249945095169508,
      0.249424335635575
    ],
    "tempo_feel": null,
    "tempo_feel_confidence": null,
    "tempo_feel_note": null
  },
  "tier3_emotional": {
    "analyst_id": "daef3c29-b712-473c-b01e-346323d60aea",
    "valence": 460,
    "arousal": 310,
    "dominant_emotion": "infatuation",
    "nostalgia_index": 720,
    "mystery_index": 160,
    "triumph_index": 280,
    "melancholy_index": 320,
    "sensuality_index": 430,
    "inspirational_quality": 150,
    "valence_confidence": 0.72,
    "arousal_confidence": 0.85,
    "nostalgia_confidence": 0.92,
    "mystery_confidence": 0.78,
    "triumph_confidence": 0.7,
    "melancholy_confidence": 0.65,
    "sensuality_confidence": 0.62,
    "inspirational_confidence": 0.68,
    "analyst_confirmed": true,
    "confirmed_at": "2026-03-17T21:20:05.866+00:00",
    "created_at": "2026-03-17T21:18:31.78779+00:00",
    "updated_at": "2026-03-17T21:18:31.78779+00:00"
  },
  "tier3_contextual": {
    "analyst_id": "daef3c29-b712-473c-b01e-346323d60aea",
    "listening_context": [
      "social",
      "intimate",
      "background"
    ],
    "time_of_day": [
      "late_night"
    ],
    "seasonal_feel": [
      "summer"
    ],
    "solo_group": null,
    "headphones_speakers": null,
    "family_friendly": null,
    "explicit_lyrics": null,
    "repeatability_score": 510,
    "listening_context_confidence": 0.83,
    "time_of_day_confidence": 0.52,
    "seasonal_feel_confidence": 0.72,
    "repeatability_confidence": 0.87,
    "analyst_confirmed": true,
    "confirmed_at": "2026-03-17T21:20:05.866+00:00",
    "created_at": "2026-03-17T21:18:31.874827+00:00",
    "updated_at": "2026-03-17T21:18:31.874827+00:00"
  },
  "tier3_narrative": {
    "analyst_id": "daef3c29-b712-473c-b01e-346323d60aea",
    "intro_energy": "Opens with T-Pain's vocal alone — Auto-Tune present but subdued. Harmonies layer in around 21 seconds, fuller harmonizing by 32 seconds. Beat does not enter until approximately 40 seconds, creating a slow, deliberate vocal-first introduction.",
    "build_phases": [
      {
        "description": "Vocal entry with Auto-Tune, sparse and intimate — T-Pain singing alone.",
        "timestamp_normalized": 0.05
      },
      {
        "description": "First layer of harmonies enters around 21 seconds, thickening the vocal texture.",
        "timestamp_normalized": 0.09
      },
      {
        "description": "Further harmonizing at approximately 32 seconds, building toward the beat entry.",
        "timestamp_normalized": 0.13
      },
      {
        "description": "Beat drops in at roughly 40 seconds — slow groove rhythm section arrives, anchoring the track.",
        "timestamp_normalized": 0.17
      }
    ],
    "drop_climax_points": [
      {
        "intensity": 0.55,
        "description": "Beat entry at ~40 seconds — the main groove locks in and the song finds its full texture.",
        "timestamp_normalized": 0.17
      },
      {
        "intensity": 0.65,
        "description": "Chorus arrives with harmonized vocal layering at the end — the emotional peak of the song's cycle.",
        "timestamp_normalized": 0.45
      }
    ],
    "resolution_phase": "The analyst does not describe a specific ending moment in detail, but contextualizes the song as one that fades gracefully — consistent with a slow jam that winds down without dramatic resolution. The outro from the lyrics ('She got you / Got you / Got you') suggests a gradual, repetitive fade.",
    "overall_arc_type": "sustained",
    "emotional_turning_points": [
      {
        "shift_type": "complex",
        "description": "The song's internal tension surfaces: the narrator knows the relationship is problematic ('she ain't even my main lady,' 'she don't deserve me') but is powerless to leave — the self-awareness without resolution.",
        "timestamp_normalized": 0.35
      }
    ],
    "surprise_moments": null,
    "arc_notes": null,
    "arc_confidence": 0.78,
    "analyst_confirmed": true,
    "confirmed_at": "2026-03-17T21:20:05.866+00:00",
    "created_at": "2026-03-17T21:18:31.985568+00:00",
    "updated_at": "2026-03-17T21:18:31.985568+00:00"
  },
  "tier3_cultural": {
    "analyst_id": "daef3c29-b712-473c-b01e-346323d60aea",
    "cultural_origin": null,
    "production_era": null,
    "cultural_context_notes": null,
    "analyst_credit": "Andrew Brownlee",
    "listening_notes": null,
    "analyst_confirmed": true,
    "confirmed_at": "2026-03-17T21:20:05.866+00:00",
    "created_at": "2026-03-17T21:18:32.068739+00:00",
    "updated_at": "2026-03-17T21:18:32.068739+00:00"
  },
  "similarity": {
    "vector": [
      0.49692,
      0.048748,
      0.3668,
      0.638858,
      0.425234,
      0.618557,
      0.253534,
      0.002211,
      1,
      0.861079,
      0.7,
      0.219548,
      0.141659,
      0.204961,
      0.870009,
      0.129991,
      0.513915,
      0.917523,
      0.270941,
      0.913115,
      0.175705,
      0.944485,
      0.264388,
      0.744645,
      0.1449,
      0.599575,
      0.440412,
      0.400425,
      0.045273,
      0.623885,
      0.129991,
      1
    ],
    "similar_songs": [
      {
        "title": "Lady Lady",
        "artist": "Olivia Dean",
        "slug": "lady-lady-olivia-dean",
        "overall_similarity": 0.7201
      },
      {
        "title": "Rich Girl",
        "artist": "Lake Street Dive",
        "slug": "rich-girl-lake-street-dive",
        "overall_similarity": 0.7166
      },
      {
        "title": "Break On Me",
        "artist": "Keith Urban",
        "slug": "break-on-me-keith-urban",
        "overall_similarity": 0.7146
      },
      {
        "title": "A Change Is Gonna Come",
        "artist": "Sam Cooke",
        "slug": "a-change-is-gonna-come-sam-cooke",
        "overall_similarity": 0.7123
      }
    ]
  },
  "metadata": {
    "analysis_version": "2.0",
    "field_count": 389,
    "generated_at": "2026-03-24T01:28:35.161Z",
    "api_access": "For batch access across multiple songs, filtering, and real-time updates, see the MusicArk API."
  }
}
